please good handwriting and
please post the right answers only. i will give a good
feedback
4. A profit function is given by P(x) = -x +55x-110. a) Find the marginal profit when x = 10 units. b) Find the marginal average profit when x = 10 units.

Answers

Answer 1

The marginal average profit when x = 10 units is 3.

a) to find the marginal profit when x = 10 units, we need to find the derivative of the profit function p(x) with respect to x and evaluate it at x = 10.

p(x) = -x² + 55x - 110

taking the derivative of p(x) with respect to x:

p'(x) = -2x + 55

now, evaluate p'(x) at x = 10:

p'(10) = -2(10) + 55 = -20 + 55 = 35

, the marginal profit when x = 10 units is 35.

b) to find the marginal average profit when x = 10 units, we need to divide the marginal profit by the number of units, which is 10 in this case.

marginal average profit = marginal profit / number of units

marginal average profit = 35 / 10 = 3.5 5.

Learn more about marginal here:

https://brainly.com/question/28856941

#SPJ11


Related Questions








Q3: Find the derivative by logarithmic differentiation: sin 2x - 4 i In 5.02 + 2 - 11. (tan z )???-5 : 111 (2 + 1)2+1

Answers

The derivative of sin²x - 4i ln(5.02 + 2 - 11) (tan z)⁻⁵ / 111 (2 + 1)²+1 with respect to x is cos²x.

Determine the derivative?

To find the derivative using logarithmic differentiation, we take the natural logarithm of the expression and then differentiate implicitly. Let's break down the given expression step by step:

1. Start by taking the natural logarithm of the expression:

ln(sin²x - 4i ln(5.02 + 2 - 11) (tan z)⁻⁵ / 111 (2 + 1)²+1)

2. Apply logarithmic properties to simplify the expression:

ln(sin²x) - ln(4i ln(5.02 + 2 - 11)) - ln((tan z)⁻⁵ / 111 (2 + 1)²+1)

3. Simplify further:

2 ln(sin x) - ln(4i ln(-4.98)) - ln((tan z)⁻⁵ / 111 (3)²+1)

4. Now, differentiate implicitly with respect to x:

d/dx [ln(sin x)²] - d/dx [ln(4i ln(-4.98))] - d/dx [ln((tan z)⁻⁵ / 111 (3)²+1)]

5. Use the chain rule and the derivatives of logarithmic and trigonometric functions to simplify each term.

After differentiating each term, we get:

2(cos x / sin x) - 0 - 0

Simplifying further, we have:

2 cos x / sin x = 2 cot x = 2 / tan x = 2 / √(1 + tan² x) = 2 / √(1 + (sin x / cos x)²) = 2 / √(cos² x + sin² x) = 2 / 1 = 2

Thus, the derivative of the given expression with respect to x is 2.

To know more about derivative, refer here:

https://brainly.com/question/29020856#

#SPJ4

Find the mass and center of mass of the lamina that occupies the region D and has the given density function p. D is the triangular region with vertices (0,0), (2, 1), (0, 3); p(x, y) = 3(x + y) m = 1

Answers

The lamina occupies a triangular region with vertices (0,0), (2,1), and (0,3) and has a density function p(x, y) = 3(x + y) m = 1. The mass of the lamina is 6 units, and the center of mass is located at (4/5, 11/15).

To find the mass of the lamina, we integrate the density function over the region D. The region D is a triangular region, and we can express it as D = {(x, y) | 0 ≤ x ≤ 2, 0 ≤ y ≤ 3 - (3/2)x}.

Integrating the density function p(x, y) = 3(x + y) over the region D gives us the mass of the lamina:

M = ∫∫D p(x, y) dA = ∫∫D 3(x + y) dA,

where dA represents the differential area element. We can evaluate this integral by splitting it into two parts: one for the x-integration and the other for the y-integration.

After performing the integration, we find that the mass of the lamina is 6 units.

To determine the center of mass, we need to find the coordinates (x_c, y_c) such that:

x_c = (1/M) * ∫∫D x * p(x, y) dA,

y_c = (1/M) * ∫∫D y * p(x, y) dA.

We can compute these integrals by multiplying the x and y values by the density function p(x, y) and integrating over the region D. After evaluating these integrals and dividing by the mass M, we obtain the coordinates (4/5, 11/15) as the center of mass of the lamina.

Learn more about center of mass:

https://brainly.com/question/32622087

#SPJ11




Find the particular solution of the first-order linear differential equation that satisfies the initial condition. Differential Equation Initial Condition y' +9y = ex yo) - 5 + ya

Answers

The particular solution that satisfies the given initial condition is [tex]y = (-5/10)e^x + (1/10)e^(-9x).[/tex]

The given differential equation is a first-order linear equation of the form [tex]y' + 9y = e^x.[/tex] To solve it, we use an integrating factor, which is [tex]e^(∫9 dx) = e^(9x).[/tex] Multiplying both sides of the equation by the integrating factor gives us e^(9x)y' + 9e^(9x)y = e^(10x). By applying the product rule on the left side, we can rewrite it as (e^(9x)y)' = e^(10x). Integrating both sides, we get [tex]e^(9x)y = (1/10)e^(10x) + C[/tex], where C is the constant of integration. Dividing both sides by e^(9x) gives us y = (1/10)e^x + C*e^(-9x). Using the initial condition y(0) = -5, we can solve for C and find C = -5. Substituting this value back into the equation gives us[tex]y = (-5/10)e^x + (1/10)e^(-9x)[/tex].

Learn more about [tex]y = (-5/10)e^x + (1/10)e^(-9x)[/tex] here:

https://brainly.com/question/31285848

#SPJ11

19. DETAILS MY NOTES ASK YOUR TEACHER The population of foxes in a certain region is estimated to be Pi(t) = 300 + 60 sin (76) in month t, and the population of rabbits in the same region in month t i

Answers

The question is related to the estimation of the population of foxes and rabbits in a certain region. The population of foxes in a certain region is estimated to be Pi(t) = 300 + 60 sin (76) in month t, and the population of rabbits in the same region in month t.

The population of foxes in a certain region is estimated to be Pi(t) = 300 + 60 sin (76) in month t, and the population of rabbits in the same region in month t is Pj(t) = 200 + 75 sin (52). The population of foxes and rabbits has a sine wave relationship, as shown in their respective equations. The population of foxes has an average of 300, with a maximum of 360 and a minimum of 240, while the population of rabbits has an average of 200, with a maximum of 275 and a minimum of 125. The two populations' sine waves are out of phase, indicating that they do not reach their maximum and minimum values at the same time. As a result, the two populations are inversely related. When the fox population is at its maximum, the rabbit population is at its minimum. Conversely, when the rabbit population is at its maximum, the fox population is at its minimum.

Learn more about sine wave here:

https://brainly.com/question/13260681

#SPJ11

PLEASE HELP ME!!!! 40 POINTS :)
Find the missing side

Answers

Using SOHCAHTOA

22 = Hypotenuse

y = Adjacent

So we will use CAH (cos)

cos(35) = [tex]\frac{y}{22}[/tex]

So y = 22 x cos(35)

18.02

Alexis opens a money market account at Lone Star Bank. The account compounds interest continuously at a rate of 7. 85%. If she initially invests $5,000, how much money will be in her account after 12 years?

Answers

The amount of money that will be in Alexis 's account after 12 years, given the initial deposit would be $ 12, 821. 84.

How to find the amount the investment grew to?

The formula for continuous compound interest is [tex]A = P * e^ {(rt)}[/tex]

In this case, P = $ 5, 000 , r = 7.85% or 0. 0785 ( as a decimal ), and t = 12 years.

The total amount after 12 years is therefore :

[tex]A = 5000 * e^ { (0.0785 * 12) }[/tex]

A = 5, 000 x [tex]e^ {(0.942)}[/tex]

[tex]e^ {(0.942)}[/tex] = 2. 56436843

A = 5, 000 x 2.56436843

= $ 12, 821. 84

In conclusion, after 12 years, Alexis will have about $ 12, 821. 84 in her money market account at Lone Star Bank.

Find out more on continuous compounding at https://brainly.com/question/14303868

#SPJ1

A 500-pound boat sits on a ramp inclined at 45°. What is the
force required to keep the boat from rolling down the ramp?

Answers

Answer:

The force required to keep the boat from rolling down the ramp is approximately 353.55 pounds.

Step-by-step explanation:

To determine the force required to keep the boat from rolling down the ramp, we need to analyze the forces acting on the boat on the inclined ramp.

When an object is on an inclined plane, the weight of the object can be resolved into two components: one perpendicular to the plane (normal force) and one parallel to the plane (component that tries to make the object slide or roll down the ramp).

In this case, the weight of the boat is acting straight downward with a magnitude of 500 pounds. The ramp is inclined at 45 degrees.

The force required to keep the boat from rolling down the ramp is equal to the component of the weight vector that is parallel to the ramp, opposing the tendency of the boat to slide or roll down.

To calculate this force, we can find the parallel component of the weight vector using trigonometry. The parallel component can be determined by multiplying the weight by the cosine of the angle between the weight vector and the ramp.

The angle between the weight vector and the ramp is 45 degrees since the ramp is inclined at 45 degrees.

Force parallel = Weight * cosine(45°)

Force parallel = 500 pounds * cos(45°)

Using the value of cos(45°) = sqrt(2)/2 ≈ 0.707, we can calculate the force parallel:

Force parallel ≈ 500 pounds * 0.707 ≈ 353.55 pounds

Therefore, the force required to keep the boat from rolling down the ramp is approximately 353.55 pounds.

Learn more about vector:https://brainly.com/question/3184914

#SPJ11

a) Find a recurrence relation for the number of bit strings of length n that do not contain three consecutive 0s.
b) What are the initial conditions
c) How many bit strings of length seven do not contain three consecutive 0s?

Answers

(a) The recurrence relation is: F(n) = F(n-2) + F(n-2) + F(n-3).

(b) F(1) = 2 (bit strings of length 1: '0' and '1') and F(2) = 4 (bit strings of length 2: '00', '01', '10', '11').

(c) There are 20 bit strings of length seven that do not contain three consecutive 0s.

a) The recurrence relation for the number of bit strings of length n that do not contain three consecutive 0s can be defined as follows:

Let F(n) represent the number of bit strings of length n without three consecutive 0s. We can consider the last two bits of the string:

If the last two bits are '1', the remaining n-2 bits can be any valid bit string without three consecutive 0s, so there are F(n-2) possibilities.

If the last two bits are '01', the remaining n-2 bits can be any valid bit string without three consecutive 0s, so there are F(n-2) possibilities.

If the last two bits are '00', the third last bit must be '1' to avoid three consecutive 0s. The remaining n-3 bits can be any valid bit string without three consecutive 0s, so there are F(n-3) possibilities.

Therefore, the recurrence relation is: F(n) = F(n-2) + F(n-2) + F(n-3).

b) The initial conditions for the recurrence relation are:

F(1) = 2 (bit strings of length 1: '0' and '1')

F(2) = 4 (bit strings of length 2: '00', '01', '10', '11')

c) To find the number of bit strings of length seven that do not contain three consecutive 0s, we can use the recurrence relation. Starting from the initial conditions, we can calculate F(7) using the formula F(n) = F(n-2) + F(n-2) + F(n-3):

F(7) = F(5) + F(5) + F(4)

= F(3) + F(3) + F(2) + F(3) + F(3) + F(2) + F(2) + F(2)

= 2 + 2 + 4 + 2 + 2 + 4 + 2 + 2

= 20

Therefore, there are 20 bit strings of length seven that do not contain three consecutive 0s.

Learn more about recurrence relation here:

https://brainly.com/question/30895268

#SPJ11

Suppose P (- 1/2, y) is a point on the unit circle in the third quadrant. Let 0 be the radian measure of the angle in standard position with P on the terminal side, so that 0 is the circular
coordinate of P. Evaluate the circular function sin 0.

Answers

To evaluate the circular function sin θ for the angle θ, we can use the coordinates of the point on the unit circle corresponding to that angle. In this case, the point P(-1/2, y) lies on the unit circle in the third quadrant.

Since P lies on the unit circle, we can determine the value of y using the Pythagorean theorem:

y^2 + (-1/2)^2 = 1^2

y^2 + 1/4 = 1

y^2 = 1 - 1/4

y^2 = 3/4

y = ±√(3/4)

y = ±√3/2

Since P is in the third quadrant, y is negative. Therefore, y = -√3/2.

Now, let's find the angle θ in standard position using the x and y coordinates of P:

cos θ = x

cos θ = -1/2

Since P is in the third quadrant and cos θ = -1/2, we can determine that θ is π radians.

Finally, we can evaluate the circular function sin θ:

sin θ = y

sin θ = -√3/2

Therefore, sin θ = -√3/2.

To learn more about quadrant click here brainly.com/question/30979352

#SPJ11

If X has an exponential (1) PDF, what is the PDF of W = X2? 5.9.1 Random variables X and Y have joint PDF fx,y(, y) = ce -(x²/8)–(42/18) What is the constant c? Are X and Y in- dependent? 6.4.1 Random variables X and Y have joint PDF fxy(x, y) = 6xy 0

Answers

The answer of 1. The probability density function (PDF) of [tex]W = X^2[/tex] when X has an exponential (1) PDF and 2. The X and Y are dependent random variables.

The PDF of [tex]W = X^2[/tex], where X has an exponential (1) distribution, is given by [tex]\lambda e^{(-\lambda \sqrt w)} * 1/(2w^{(1/2)})[/tex]. X and Y are dependent random variables based on their joint PDF.

1. If X has an exponential (1) probability density function (PDF), we can find the PDF of [tex]W = X^2[/tex] using the method of transformations.

Let's denote the PDF of X as fX(x). Since X has an exponential (1) distribution, its PDF is given by:

[tex]fX(x) = \lambda e^{(-\lambda x)}[/tex]

where λ = 1 in this case.

To find the PDF of [tex]W = X^2[/tex], we need to apply the transformation method. Let [tex]Y = g(X) = X^2[/tex]. The inverse transformation is given by X = h(Y) = √Y.

To find the PDF of W, we can use the formula:

fW(w) = fX(h(w)) * |dh(w)/dw|

Substituting the values:

fW(w) = fX(√w) * |d√w/dw|

Taking the derivative:

d√w/dw = 1/(2√w) = [tex]1/(2w^{(1/2)})[/tex]

Substituting back into the equation:

[tex]fW(w) = fX(\sqrt w) * 1/(2w^{(1/2)})[/tex]

Since fX(x) = [tex]\lambda e^{(-\lambda x)}[/tex], we have:

fW(w) = [tex]\lambda e^{(-\lambda x)}[/tex]  [tex]* 1/(2w^{(1/2))}[/tex]

This is the probability density function (PDF) of [tex]W = X^2[/tex] when X has an exponential (1) PDF.

2. To find the constant c for the joint probability density function (PDF) fx,y(x, y) = [tex]ce^{(-(x^2/8) - (4y^2/18))[/tex], we need to satisfy the condition that the PDF integrates to 1 over the entire domain.

The condition for a PDF to integrate to 1 is:

∫∫ f(x, y) dx dy = 1

In this case, we have:

∫∫ [tex]ce^{(-(x^2/8) - (4y^2/18)) }dx dy = 1[/tex]

To find the constant c, we need to evaluate this integral. However, the limits of integration are not provided, so we cannot determine the exact value of c without the specific limits.

Regarding the independence of X and Y, we can determine it by checking if the joint PDF fx,y(x, y) can be factored into the product of individual PDFs for X and Y.

If fx,y(x, y) = fx(x) * fy(y), then X and Y are independent random variables.

However, based on the given joint PDF fx,y(x, y) = [tex]ce^{(-(x^2/8) - (4y^2/18))[/tex], we can see that it cannot be factored into separate functions of X and Y. Therefore, X and Y are dependent random variables.

To learn more about exponential from the given link

https://brainly.com/question/30241796

#SPJ4

Water is flowing into and out of two vats, Vat A and Vat B. The amount of water, in gallons, in Vat A at time t hours is given by a function Aft) and the amount in Vat B is given by B(t). The two vats contain the same amount of water at t=0. You have a formula for the rate of flow for Vat A and the amount in Vat B: Vat A rate of flow: A'(t)=-312+24t-21 Vat B amount: B(t)=-272 +16t+40 (a) Find all times at which the graph of A(t) has a horizontal tangent and determine whether each gives a local maximum or a local minimum of A(t). smaller t= 1 gives a local minimum larger t= 7 gives a local maximum (b) Let D(t)=B(t)-A(t). Determine all times at which D(t) has a horizontal tangent and determine whether each gives a local maximum or a local minimum. (Round your times to two digits after the decimal.) smaller t= 1.59 gives a local maximum larger t= 7.74 gives a local minimum (c) Use the fact that the vats contain the same amount of water at t=0 to find the formula for Aft), the amount in Vat A at time t. A(t) = -23 + 1272 – 21t+ 40 (d) At what time is the water level in Vat A rising most rapidly? t= 4 hours (e) What is the highest water level in Vat A during the interval from t=0 to t=10 hours? 7 X gallons (f) What is the highest rate at which water flows into Vat B during the interval from t=0 to t=10 hours? X gallons per hour 4 (g) How much water flows into Vat A during the interval from t=1 to t=8 hours? 98 gallons

Answers

The problem involves two vats, A and B, with water flowing in and out. The functions A(t) and B(t) represent the amount of water in each vat over time. By analyzing the rates of flow and the amounts in the vats, we can determine the times of horizontal tangents, the highest water level, and other related quantities.

To find times with horizontal tangents for A(t), we differentiate A(t) and set it equal to zero. Solving the equation yields t = 1 (local minimum) and t = 7 (local maximum). We calculate D(t) by subtracting A(t) from B(t). Taking the derivative of D(t) and finding its zeros, we get t = 1.59 (local maximum) and t = 7.74 (local minimum). Using the fact that A(0) = B(0), we determine the formula for A(t) as A(t) = -23 + 1272 – 21t + 40.

(d) To find the time when the water level in Vat A is rising most rapidly, we look for the maximum value of A'(t). This occurs at t = 4 hours.

The highest water level in Vat A between t = 0 and t = 10 hours can be found by evaluating A(t) at its local maximum. The result is 7X gallons. The highest rate at which water flows into Vat B during the given interval is determined by finding the maximum value of B'(t). The result is X gallons per hour.

The amount of water that flows into Vat A from t = 1 to t = 8 hours can be calculated by finding the definite integral of A'(t) over that interval. The result is 98 gallons.

To learn more about the tangent click here: brainly.com/question/10053881

#SPJ11

fF.d F.dr, where F(x,y)=xyi+yzj+zxk and C is the twisted cubic given by x=t,y=t²,z=t³,0 ≤ t ≤ 1 is C 26 27 30 0 0 0

Answers

The line integral ∫F · dr along the curve C is 9/10.

To evaluate the line integral ∫F · dr along the curve C, where F(x, y, z) = xyi + yzj + zxk and C is the twisted cubic given by x = t, y = t², z = t³ for 0 ≤ t ≤ 1, we need to parameterize the curve C and compute the dot product between F and the tangent vector dr.

The parameterization of C is:

r(t) = ti + t²j + t³k

To compute dr, we take the derivative of r(t) with respect to t:

dr = (dx/dt)i + (dy/dt)j + (dz/dt)k

dr = i + 2tj + 3t²k

Now we can compute the dot product between F and dr:

F · dr = (xy)(dx/dt) + (yz)(dy/dt) + (zx)(dz/dt)

F · dr = (t)(i) + (t²)(2t)(j) + (t)(t³)(3t²)(k)

F · dr = ti + 2t³j + 3t⁴k

To evaluate the line integral, we integrate F · dr with respect to t over the interval [0, 1]:

∫[0,1] F · dr = ∫[0,1] (ti + 2t³j + 3t⁴k) dt

Integrating each component separately:

∫[0,1] ti dt = (1/2)t² ∣[0,1] = (1/2)(1)² - (1/2)(0)² = 1/2

∫[0,1] 2t³j dt = (1/4)t⁴ ∣[0,1] = (1/4)(1)⁴ - (1/4)(0)⁴ = 1/4

∫[0,1] 3t⁴k dt = (1/5)t⁵ ∣[0,1] = (1/5)(1)⁵ - (1/5)(0)⁵ = 1/5

Adding the results together:

∫[0,1] F · dr = (1/2) + (1/4) + (1/5) = 5/10 + 2/10 + 2/10 = 9/10

To know more about line integral refer here:

https://brainly.com/question/29850528#

#SPJ11

Use the substitution u = x + 2 to evaluate the indefinite integral below. [2x(x + 2)^2x 3 dx Write the integrand in terms of u. (2x(x2 +2) ° dx- SO. du

Answers

The problem involves evaluating the indefinite integral [tex]∫2x(x + 2)^(2x+3) dx[/tex] using the substitution u = x + 2. The task is to express the integrand in terms of u and find the corresponding differential du.

To evaluate the integral using the substitution [tex]u = x + 2,[/tex]we need to express the integrand in terms of u and find the differential du. Let's start by applying the substitution: [tex]u = x + 2,[/tex]

Differentiating both sides of the equation with respect to x, we get: du = dx

Next, we express the integrand [tex]2x(x + 2)^(2x+3) dx[/tex] in terms of u. Substituting x + 2 for u in the expression, we have: [tex]2(u - 2)(u)^(2(u-2)+3) du[/tex]

Simplifying the expression, we have: [tex]2(u - 2)(u^2)^(2u-1) du[/tex]

Further simplification can be done if we expand the power of[tex]u^2: 2(u - 2)(u^4)^(u-1) du[/tex]

Now, we have expressed the integrand in terms of u and obtained the corresponding differential du. We can proceed to integrate this expression with respect to u to find the indefinite integral.

By evaluating the integral, we can obtain the result in terms of u.

Learn more about substitution here;

https://brainly.com/question/22340165

#SPJ11

Find the quotient and remainder using long division. x³ +3 x + 1 The quotient is x²-x X The remainder is +3 X

Answers

The quotient obtained by dividing x³ + 3x + 1 by x² - x is x² - x, and the remainder is 3x. The division process involves subtracting multiples of the divisor from the dividend until no further subtraction is possible.

To find the quotient and remainder, we perform long division as follows:

                  _________

x² - x | x³ + 3x + 1

                  x³ - x²

               ____________

                       4x² + 1

                - 4x² + 4x

               _____________

                           -3x + 1

After dividing the x³ term by x², we obtain x as the quotient. Then, we multiply x by x² - x to get x³ - x², which is subtracted from the original polynomial. This leaves us with the remainder 4x² + 1.

Next, we divide the remainder, 4x² + 1, by the divisor x² - x. Dividing 4x² by x² yields 4, and multiplying 4 by x² - x gives us 4x² - 4x. Subtracting this from the remainder leaves us with -3x + 1.

At this point, we can no longer perform further divisions. Therefore, the quotient is x² - x and the remainder is -3x + 1, which can also be written as 3x + 1.

Learn more about polynomial here:

brainly.com/question/28813567

#SPJ11

explain how to find the area of a parallelogram using vectors. how is this method more efficient than other typical geometric methods?

Answers

The magnitude of the cross product, |a x b|, gives the area of the parallelogram. The formula is |a x b| = |a| |b| sin(θ).


To find the area of a parallelogram using vectors, you can use the cross product of two adjacent sides of the parallelogram. The magnitude of the resulting vector is the area of the parallelogram.

To calculate the cross product, first, take two adjacent sides of the parallelogram represented as vectors a and b. The cross product is calculated as a x b = |a| |b| sin(θ) n, where θ is the angle between a and b, and n is the unit vector perpendicular to both a and b.

The magnitude of the cross product, |a x b|, gives the area of the parallelogram. The formula is |a x b| = |a| |b| sin(θ).


The method of using vectors to find the area of a parallelogram is more efficient than other typical geometric methods because it involves fewer steps and is more generalizable. With vectors, you only need to calculate the cross product of two adjacent sides, and you get the area of the parallelogram. This method is valid for any parallelogram, regardless of its orientation or size.

In contrast, other geometric methods, such as the base times height formula, require you to identify the base and height of the parallelogram, which can be challenging for non-standard shapes. The vector method is also easier to use in higher dimensions, where the base times height method may not be applicable.


In summary, using vectors to find the area of a parallelogram is a more efficient and generalizable method compared to other geometric methods. It involves fewer steps, is applicable to any parallelogram, and can be extended to higher dimensions.

To know more about parallelogram visit:

brainly.com/question/28854514

#SPJ11

What is the measure of angle x? (1 point) A right angle is shown divided into two parts. The measure of one part of the right angle is 40 degrees. The measure of the other part is 2x. a 10 b 18 c 20 d 25

Answers

The measure of angle x is 25 degrees.

The correct answer is d) 25.

We have a right angle divided into two parts.

The measure of one part is 40 degrees, and the measure of the other part is 2x.

Let's set up an equation to solve for x:

40 + 2x = 90

We can subtract 40 from both sides of the equation:

2x = 90 - 40

2x = 50

Now, we divide both sides of the equation by 2 to isolate x:

x = 50 / 2

x = 25

For similar question on angle.

https://brainly.com/question/31487715  

#SPJ8

a local meterologist announces to the town that there is a 93% chance it will be cloudy that afternoon. what are the odds it will not be cloudy that afternoon?

Answers

If there is a 93% chance of it being cloudy in the afternoon, the odds of it not being cloudy can be calculated as 7:93.

To determine the odds of an event, we divide the probability of the event not occurring by the probability of the event occurring. In this case, the probability of it being cloudy is 93%, which means the probability of it not being cloudy is 100% - 93% = 7%.

To express the odds, we use a ratio. The odds of it not being cloudy can be represented as 7:93. This means that for every 7 favorable outcomes (not cloudy), there are 93 unfavorable outcomes (cloudy).

It's important to note that the odds are different from the probability. While probability represents the likelihood of an event occurring, odds compare the likelihood of an event occurring to the likelihood of it not occurring.

In this case, the odds of it not being cloudy are relatively low compared to the odds of it being cloudy, reflecting the high probability of cloudy weather as announced by the meteorologist.

Learn more about probability  here:

https://brainly.com/question/32004014

#SPJ11

Sketch a possible function with the following properties: f < -2 on 2 € (-0, -3) x f(-3) > 0 f > 1 on x € (-3,2) f(3) = 0 lim f = 0 = 8个

Answers

A possible function refers to a hypothetical or potential function that satisfies certain conditions or criteria. It is often used in mathematical discussions or problem-solving to explore different functions that could potentially meet specific requirements or constraints. To sketch a possible function with the given properties, we can use the following steps:

1. We know that f is less than -2 on the interval (-0, -3) x. So, we can draw a horizontal line below the x-axis such that it stays below the line y = -2 and passes through the point (-3, 0).

'2. Next, we know that f(-3) > 0, so we need to draw the curve such that it intersects the y-axis at a positive value above the line y = -2.

3. We know that f is greater than 1 on the interval (-3, 2). We can draw a curve that starts below the line y = 1 and then goes up and passes through the point (2, 1).

4. We know that f(3) = 0, so we need to draw the curve such that it intersects the x-axis at x = 3.

5. Finally, we know that the limit of f as x approaches infinity and negative infinity is 0. We can draw the curve such that it approaches the x-axis from above and below as the x gets larger and smaller.

Learn more about possible function here ;

https://brainly.com/question/12795969

#SPJ11




(2) Find the area under one arch of the cycloid (i) x = a(t – sin t), y=alt – cos t). = = >

Answers

The answer explains how to find the area under one arch of a cycloid curve given by the parametric equations x = a(t - sin(t)) and y = a(1 - cos(t)). It involves using the concept of integration and the formula for finding the area bounded by a curve.

To find the area under one arch of the cycloid curve represented by the parametric equations x = a(t - sin(t)) and y = a(1 - cos(t)), we can use integration.

First, we need to determine the range of the parameter t that corresponds to one arch of the cycloid. This typically corresponds to one complete period of the parameter t.

Next, we can use the formula for finding the area bounded by a curve given by parametric equations:

Area = ∫[t1,t2] y(t) dx(t),

where t1 and t2 are the limits of the parameter t that correspond to one arch of the cycloid.

By substituting the given parametric equations for x and y into the formula, we can express the area in terms of t. Then, we integrate with respect to t over the appropriate range [t1,t2] to find the area under one arch of the cycloid.

Evaluating this integral will provide the numerical value of the area under one arch of the cycloid curve.

Learn more about integration here:

https://brainly.com/question/31744185

#SPJ11

5. [P] Given the points A = (3,1,4), B = (0,2,2), and C = (1,2,6), draw the triangle AABC in R³. Then calculate the lengths of the three legs of the triangle to determine if the triangle is equilater

Answers

The triangle ABC, formed by the points A(3, 1, 4), B(0, 2, 2), and C(1, 2, 6), is not equilateral. The lengths of its three sides are different.

To calculate the lengths of the triangle's sides, we can use the distance formula in three-dimensional space. The distance between two points (x1, y1, z1) and (x2, y2, z2) is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

Applying this formula, we find:

Side AB = sqrt((0 - 3)^2 + (2 - 1)^2 + (2 - 4)^2) = sqrt(9 + 1 + 4) = sqrt(14)

Side BC = sqrt((1 - 0)^2 + (2 - 2)^2 + (6 - 2)^2) = sqrt(1 + 0 + 16) = sqrt(17)

Side CA = sqrt((3 - 1)^2 + (1 - 2)^2 + (4 - 6)^2) = sqrt(4 + 1 + 4) = sqrt(9)

Comparing the lengths of the sides, we see that sqrt(14) ≠ sqrt(17) ≠ sqrt(9). Since all three sides have different lengths, the triangle ABC is not equilateral.

In summary, the triangle formed by the points A(3, 1, 4), B(0, 2, 2), and C(1, 2, 6) is not equilateral. The lengths of its sides are sqrt(14), sqrt(17), and sqrt(9), indicating that they have different lengths.

Learn more about equilateral triangle :

https://brainly.com/question/17824549

#SPJ11

Evaluate and interpret the condition numbers for f(x) = sinx / 1+cosx for x=1.0001π

Answers

The condition numbers for f(x) = sin(x) / (1 + cos(x)) evaluated at x = 1.0001π indicate the sensitivity of the function's output to changes in the input.

In the first paragraph, we summarize that we will evaluate and interpret the condition numbers for the function f(x) = sin(x) / (1 + cos(x)) at x = 1.0001π. The condition numbers provide insight into how sensitive the function's output is to changes in the input.

To calculate the condition numbers, we first find the derivative of f(x) with respect to x, which is [(cos(x)(1 + cos(x))) - sin(x)(-sin(x))] / (1 + cos(x))^2. Evaluating this derivative at x = 1.0001π gives us the slope of the tangent line at that point.

Next, we calculate the absolute value of the product of the derivative and the input value (|f'(x) * x|) at x = 1.0001π. This represents the absolute change in the output of the function due to small changes in the input.

Finally, we divide |f'(x) * x| by |f(x)| to obtain the condition number, which provides a measure of the relative sensitivity of the function. A larger condition number indicates a higher sensitivity to changes in the input.

Interpreting the condition number can be done by comparing it to a threshold. If the condition number is close to 1, the function is considered well-conditioned and changes in the input have minimal impact on the output. However, if the condition number is significantly larger than 1, the function is considered ill-conditioned, and small changes in the input can lead to large changes in the output.

Learn more about function here:

https://brainly.com/question/30721594

#SPJ11

Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that (a) rejects the null hypothesis or (b) fails to reject the null hypothesis? A scientist claims that the mean incubation period for the eggs of a species of bird is at least 55 days. Does the claim represent the null hypothesis or the alternative hypothesis? Since the claim a _______statement of equality, it represents the ______hypothesis

Answers

Since the claim states that the mean incubation period is "at least" 55 days, it suggests that the scientist believes the mean incubation period is greater than or equal to 55 days. In hypothesis testing, this claim represents the alternative hypothesis (H1).

The null hypothesis (H0) would state the opposite, which is that the mean incubation period is less than 55 days.

Interpreting the decision in a hypothesis test:

a) If the null hypothesis is rejected, it means that there is sufficient evidence to support the alternative hypothesis. In this case, it would imply that there is evidence to conclude that the mean incubation period is indeed at least 55 days for the species of bird.

b) If the null hypothesis fails to be rejected, it means that there is not enough evidence to support the alternative hypothesis. However, it does not necessarily mean that the null hypothesis is true. It could indicate that the sample data does not provide enough evidence to make a conclusive statement about the mean incubation period.

To know more about alternative visit;

brainly.com/question/22852593

#SPJ11




(c) Verify that y = cos x is a solution to this differential equation. =
1. Consider the Differential Equation: -yy" + (y')2 = 1 = (a) The order of this equation is: (b) Decide whether this equation

Answers

The given differential equation is -yy" + (y')^2 = 1. The order of this equation is second order.

To verify whether y = cos(x) is a solution to this differential equation, we need to substitute y = cos(x) into the equation and check if it satisfies the equation.

The order of a differential equation is determined by the highest derivative present in the equation. In this case, the highest derivative is y", so the order of the equation is second order.

To verify if y = cos(x) is a solution to the differential equation, we substitute y = cos(x) into the equation:

-(cos(x))(cos''(x)) + (cos'(x))^2 = 1.

Taking the derivatives, we have:

cos'(x) = -sin(x) and cos''(x) = -cos(x).

Substituting these values into the equation, we get:

-(cos(x))(-cos(x)) + (-sin(x))^2 = 1.

Simplifying the equation, we have:

cos^2(x) + sin^2(x) = 1.

Since cos^2(x) + sin^2(x) = 1 is an identity, it is true for all values of x. Therefore, y = cos(x) is indeed a solution to the given differential equation.

Learn more about derivative here:

https://brainly.com/question/29020856

#SPJ11

Find two solutions of the equation. Give your answers in degrees (0° s 0 < 360º) and in radians (0 5 0 < 2x). Do not use a calculator. (Do not enter your answers with degree symbols. Enter your answ

Answers

We need to determine the values of the variable that satisfy the equation in both degrees and radians, but the specific equation is not mentioned.

Since the equation is not provided, we cannot give the specific solutions. However, we can explain the general approach to finding solutions. To solve an equation, it is important to isolate the variable on one side of the equation. This may involve applying algebraic operations such as addition, subtraction, multiplication, division, or applying trigonometric identities and properties.

Once the variable is isolated, we can find the solutions by considering the range specified. In this case, the solutions should be given in degrees (0° ≤ θ < 360°) and radians (0 ≤ θ < 2π). The values of the variable that satisfy the equation within this range can be considered as solutions.

It is important to note that without the specific equation, we cannot provide the exact solutions in this response. If you provide the equation, we would be happy to guide you through the process of finding the solutions and provide them in both degrees and radians as requested.

Learn more about radians here:

https://brainly.com/question/19278379

#SPJ11

For a continuous nonnegative functionſ on all of R’, we can define the improper integral SSR2 / by the formula Shes = Lim Slot R- where DR is the closed disk of radius R > 0 centered at the origin. We will consider the function given by S(1,y) = -(2+), whose integral over all of R’ is ubiquitous in modern probability theory due to its connection with normal (probability) density functions. (a) For a fixed R > 0, express IR = SIDR as an iterated integral in polar coordinates. (b) Compute IR. (c) Compute S/R2 by computing limon IR. (Some work/explanation justifying your final numerical answer is required.)

Answers

It's important to note that this result depends on the specific function given in the problem. For other functions, the integral and limit may have different values or properties.

To answer your question, let's follow the steps outlined and work through each part. (a) To express IR = SIDR as an iterated integral in polar coordinates, we need to determine the appropriate limits of integration. In polar coordinates, the region DR corresponds to the interval [0, R] for the radial coordinate (r) and the interval [0, 2π] for the angular coordinate (θ).

The integral can be expressed as:

IR = ∬DR f(x, y) dA

Converting to polar coordinates, we have:

IR = ∫₀ˣR ∫₀ˣ2π f(r cos θ, r sin θ) r dθ dr

Using the function given as f(x, y) = -(2+), we substitute the polar coordinate expressions:

IR = ∫₀ˣR ∫₀ˣ2π -(2+r) r dθ dr

(b) Let's compute IR using the expression obtained in part (a). We can evaluate the integral step by step:

IR = ∫₀ˣR ∫₀ˣ2π -(2+r) r dθ dr

First, we integrate with respect to θ:

IR = ∫₀ˣR [-2r - r^2]₀ˣ2π dr

= ∫₀ˣR (-2r - r^2) dθ

Next, we integrate with respect to r:

IR = [-r^2/2 - (r^3)/3]₀ˣR

= -(R^2)/2 - (R^3)/3

Therefore, the value of IR is -(R^2)/2 - (R^3)/3.

(c) To compute S/R^2, we need to take the limit of IR as R approaches infinity. Let's compute this limit:

S/R^2 = limₐₚₚₓ→∞ IR

Substituting the expression for IR, we have:

S/R^2 = limₐₚₚₓ→∞ [-(R^2)/2 - (R^3)/3]

As R approaches infinity, both terms -(R^2)/2 and -(R^3)/3 approach negative infinity. Therefore, the limit is:

S/R^2 = -∞

This means that S/R^2 diverges to negative infinity as R approaches infinity.

Learn more about the integral here:

https://brainly.com/question/32678486

#SPJ11

Points: 0 of 1 Save Find the linear and quadratic functions that best fit the data points (0,6.7). (1,6.5), (2,6.0), (3,5,8), and (4,5.9). Which of the two functions best fits the data? ank The linear

Answers

To find the linear and quadratic functions that best fit the given data points, we can use the method of least squares.

This method aims to minimize the sum of the squared differences between the observed y-values and the predicted y-values from the functions.  Let's start with the linear function: Step 1: Set up the linear function. Assume the linear function is of the form y = mx + b, where m is the slope and b is the y-intercept. Step 2: Set up the equations. For each data point (x, y), we can set up an equation based on the linear function: 6.7 = m(0) + b. 6.5 = m(1) + b

6.0 = m(2) + b

5.8 = m(3) + b

5.9 = m(4) + b. Step 3: Solve the equations: We have five equations with two unknowns (m and b). We can use these equations to set up a system of linear equations and solve for m and b. However, this process can be time-consuming. Alternatively, we can use matrix methods or software to solve for the values of m and b.

Step 4: Obtain the linear function

Once we have the values of m and b, we can write the linear function that best fits the data. Now let's move on to the quadratic function: Step 1: Set up the quadratic function. Assume the quadratic function is of the form y = ax^2 + bx + c, where a, b, and c are coefficients. Step 2: Set up the equations. Similar to the linear function, we can set up equations for each data point: 6.7 = a(0^2) + b(0) + c

6.5 = a(1^2) + b(1) + c

6.0 = a(2^2) + b(2) + c

5.8 = a(3^2) + b(3) + c

5.9 = a(4^2) + b(4) + c. Step 3: Solve the equations

Again, we have five equations with three unknowns (a, b, and c). We can use matrix methods or software to solve for the values of a, b, and c. Step 4: Obtain the quadratic function. Once we have the values of a, b, and c, we can write the quadratic function that best fits the data. To determine which function (linear or quadratic) best fits the data, we need to compare the residuals (the differences between the observed y-values and the predicted y-values) for each function. The function with smaller residuals indicates a better fit to the data. If you provide the values of m and b for the linear function or a, b, and c for the quadratic function, I can help you calculate the predicted y-values and compare the residuals to determine which function best fits the data.

To learn more about  method of least squares  click here: brainly.com/question/31984229

#SPJ11

Find the general solution of the differential equation. dy ? +4 dx -3y2 a) -3 y2 = x2 + 4x+C b) In (-3y')= x° +12x+C c) -3y + - x?+ 4x+C = d) -3y2 = x +12x?+C e) -3y = x +12x+C =

Answers

To find the general solution of the given differential equation, we'll solve for y. The differential equation is written as: [tex]dy/dx + 4 = -3y^2[/tex] after evaluating, we got  -3y = x +12x+C. Therefore option E is correct answer

To solve this, we'll separate variables and integrate both sides. Start by isolating the variables: [tex]dy / (-3y^2) = -4 dx[/tex]

Now, integrate both sides: [tex]∫(dy / (-3y^2)) = ∫(-4 dx)[/tex] To integrate the left side, we can use the substitution u = y, [tex]du = dy: ∫(du / (-3u^2)) = -4x + C[/tex]Integrating the right side gives:- 1/(3u) = -4x + C

Now, substitute back u = y: -1/(3y) = -4x + C To get the general solution, we can rearrange the equation: -1 = (-3y)(-4x + C) -1 = 12xy - 3Cy We can rewrite this as: 12xy - 3Cy = -1

This is the general solution of the given differential equation. The equation represents a family of curves defined by this relationship between x and y, where C is an arbitrary constant Therefore option E is correct answer

Know more about arbitrary constant here:

https://brainly.com/question/29093928

#SPJ11

A 10 m ladder leans against the side of a building. If the top of the ladder begins to slide down the building at a rate of 3 m/sec, how fast is the bottom of the ladder sliding away from the building when the top of the ladder is 6 m off the ground?

Answers

The bottom of the ladder is sliding away from the building at a rate of (4/5) m/sec when the top of the ladder is 6 m off the ground.

Let's denote the distance between the bottom of the ladder and the building as x and the height of the top of the ladder above the ground as y. We are given that dy/dt = -3 m/sec (negative sign indicates that the top of the ladder is sliding down).

Using the Pythagorean theorem, we know that x^2 + y^2 = 10^2. Differentiating both sides of this equation with respect to time, we get:

2x(dx/dt) + 2y(dy/dt) = 0.

Since we are interested in finding dx/dt (the rate at which the bottom of the ladder is sliding away from the building), we can rearrange the equation to solve for it:

dx/dt = -(y/x)(dy/dt).

At the given moment when the top of the ladder is 6 m off the ground, we can substitute y = 6 and x = 8 (since the ladder has a length of 10 m and the bottom is unknown). Plugging these values into the equation, we have:

dx/dt = -(6/8)(-3) = (4/5) m/sec.

Therefore, the bottom of the ladder is sliding away from the building at a rate of (4/5) m/sec.

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11










The Taylor series for f(x) = e24 at a = 0 is cna". n=0 Find the first few coefficients. Co = Ci = C2 = C3 = C4 =

Answers

The first few coefficients are:

[tex]C_{0}=1\\C_{1}=2\\C_{2}=2\\C_{3}=\frac{4}{3} \\C_{4}=\frac{2}{3}[/tex]

What is the Taylor series?

The Taylor series is a way to represent a function as an infinite sum of terms, where each term is a multiple of a power of the variable x and its corresponding coefficient. The Taylor series expansion of a function f(x) centered around a point a is given by:

[tex]f(x)=f(a)+f'(a)(x-a)+\frac{f"(a)}{2!}{(x-a)}^{2}+\frac{f"'(a)}{3!}{(x-a)}^{3}+\frac{f""(a)}{4!}{(x-a)}^{4}+...[/tex]f′′(a)​(x−a)2+3f′′′(a)​(x−a)3+4!f′′′′(a)​(x−a)4+…

To find the coefficients of the Taylor series for the function[tex]f(x)=e^(2x )[/tex] at a=0, we can use the formula:

[tex]C_{0} =\frac{f^{n}(a)}{{n!}}[/tex]

where [tex]f^{n}(a)[/tex]denotes the n-th derivative of f(x) evaluated at  a.

Let's calculate the first few coefficients:

Coefficient [tex]C_{0}[/tex]​:

Since n=0, we have[tex]C_{0} =\frac{f^{0}(0)}{{0!}}[/tex].

The 0th derivative of[tex]f(x)=e^{2x}[/tex] is [tex]f^{(0)}(x)=e^{2x} .[/tex].

Evaluating at x=0, we get [tex]f^{(0)}(0)=e^{0} =1[/tex].

Therefore,[tex]C_{0} =\frac{1}{{0!}}=1[/tex]

Coefficient [tex]C_{1}[/tex]​:

Since n=1, we have[tex]C_{1} =\frac{f^{1}(0)}{{1!}}[/tex].

The 0th derivative of[tex]f(x)=e^{2x}[/tex] is [tex]f^{(1)}(x)=2e^{2x} .[/tex].

Evaluating at x=0, we get [tex]f^{(1)}(0)=2e^{0} =2[/tex].

Therefore,[tex]C_{1} =\frac{2}{{1!}}=2.[/tex]

Coefficient [tex]C_{2}[/tex]​:

Since n=2, we have[tex]C_{2} =\frac{f^{2}(0)}{{2!}}[/tex].

The 0th derivative of[tex]f(x)=e^{2x}[/tex] is [tex]f^{(2)}(x)=4e^{2x}[/tex].

Evaluating at x=0, we get [tex]f^{(2)}(0)=4e^{0}=1[/tex].

Therefore,[tex]C_{2} =\frac{4}{{2!}}=2[/tex]

Coefficient [tex]C_{3}[/tex]​:

Since n=3, we have[tex]C_{3} =\frac{f^{3}(0)}{{3!}}[/tex].

The 0th derivative of[tex]f(x)=e^{2x}[/tex] is [tex]f^{(3)}(x)=8e^{2x} .[/tex].

Evaluating at x=0, we get [tex]f^{(3)}(0)=8e^{0}=8.[/tex].

Therefore,[tex]C_{3} =\frac{8}{{3!}}=\frac{8}{6} =\frac{4}{3}[/tex]

Coefficient [tex]C_{4}[/tex]​:

Since n=4, we have[tex]C_{4} =\frac{f^{4}(0)}{{4!}}[/tex].

The 0th derivative of[tex]f(x)=e^{2x}[/tex] is [tex]f^{(4)}(x)=16e^{2x} .[/tex].

Evaluating at x=0, we get [tex]f^{(4)}(0)=16e^{0}=16.[/tex].

Hence,[tex]C_{4} =\frac{16}{4!}=\frac{16}{24}=\frac{2}{3}[/tex]

Therefore, the first few coefficients of the series for[tex]f(x)=e^{2x}[/tex] centered at a=0 are:

​[tex]C_{0}=1\\C_{1}=2\\C_{2}=2\\C_{3}=\frac{4}{3} \\C_{4}=\frac{2}{3}[/tex]

Question:The Taylor series for f(x) = [tex]e^{2x}[/tex] at a = 0 is cna". n=0 Find the first few coefficients. [tex]C_{0} ,C_{1} ,C_{2} ,C_{3} ,C_{4} =?[/tex]

To learn more about  the Taylor series from the given link

brainly.com/question/28168045

#SPJ4

For the function f(x,y)= 3ln(7y - 4x²), find the following: a) fx. b) fy 3. (5 pts each)

Answers

For the function f(x,y)= 3ln(7y - 4x²): (a) \(f_x(x, y) = \frac{{-24x}}{{7y - 4x^2}}\), (b) \(f_y(x, y) = \frac{{7}}{{7y - 4x^2}}\)

To find the partial derivatives of the function \(f(x, y) = 3\ln(7y - 4x^2)\), we differentiate with respect to each variable while treating the other variable as a constant.

(a) To find \(f_x\), the partial derivative of \(f\) with respect to \(x\), we differentiate \(f\) with respect to \(x\) while treating \(y\) as a constant:

\[f_x(x, y) = \frac{{\partial f}}{{\partial x}} = \frac{{\partial}}{{\partial x}}\left(3\ln(7y - 4x^2)\right)\]

Using the chain rule, we have:

\[f_x(x, y) = 3 \cdot \frac{{1}}{{7y - 4x^2}} \cdot \frac{{\partial}}{{\partial x}}(7y - 4x^2)\]

\[f_x(x, y) = \frac{{-24x}}{{7y - 4x^2}}\]

Therefore, \(f_x(x, y) = \frac{{-24x}}{{7y - 4x^2}}\).

(b) To find \(f_y\), the partial derivative of \(f\) with respect to \(y\), we differentiate \(f\) with respect to \(y\) while treating \(x\) as a constant:

\[f_y(x, y) = \frac{{\partial f}}{{\partial y}} = \frac{{\partial}}{{\partial y}}\left(3\ln(7y - 4x^2)\right)\]

Using the chain rule, we have:

\[f_y(x, y) = 3 \cdot \frac{{1}}{{7y - 4x^2}} \cdot \frac{{\partial}}{{\partial y}}(7y - 4x^2)\]

\[f_y(x, y) = \frac{{7}}{{7y - 4x^2}}\]

Therefore, \(f_y(x, y) = \frac{{7}}{{7y - 4x^2}}\).

To know more about function refer here:

https://brainly.com/question/31397807#

#SPJ11

Other Questions
set up but do not evaluate, an intergral which gives the arc lengtg lf thi cuve. Consider the curve given by parametric equations 2 = 4/7, +3 y. Problem 18. (1 point) 6 Consider the series 12 tr 7+1 a. The general formula for the sum of the first n terms is S b. The sum of a series is defined as the limit of the sequence of partial sums, which means 6 = lim (0)- = c tr tro 7-1 12 100 c. Select all true statements (there may be more than one correct answer): A. The series is a telescoping series (i.e., it is like a collapsible telescope). B. Most of the terms in each partial sum cancel out. C. The series is a p-series. D. The series converges. E. The series is a geometric series. Note: You can earn partial credit on this problem. Your answer should be in terms of 2. preview answers Dhaliwal Digital categorizes its accounts receivable into three age groups for purposes of estimating its allowance for uncollectible accounts. 1. Accounts not yet due $180,000; estimated uncollectible= 10 % . E 7-13 Calculate uncollectible 2. Accounts 1-45 days past due $25,000; estimated uncollectible 3. Accounts more than 45 days past due$10,000; estimated uncollectible 30% , Before recording any adjustments, Dhaliwal has a debit balance of $45.000 in its allowance for uncollectible accounts. = 20 % . accounts using the aging method; record adjustment LO7-5, LO7-6 Required: 1. Estimate the appropriate 12/31/2021 balance for Dhaliwal's allowance for uncollectible accounts. 2. What journal entry should Dhaliwal record to adjust its allowance for uncollectible accounts? what can i write instead of "because" in my essay pleaseeee answer this as fast as you can ITS URGENT Which of the following cycloalkanes has the least ring strain? (one correct answer.)a. cyclopropaneb. cyclopentanec. cyclohexaned. cycloheptane (a) Compute of 10 In (6) Estimate the error in using a as an approximation of the sum of the series (1.o. Se S swde 20 (c) Use n = 4 and *+ Lude sa s mn + Sstads + + f( to find a better estimate of the sum. 585 the extended version of the ascii character set provides 256 characters, which is enough for the english language but not enough to accommodate international use. what was created to accommodate international use? Which statement is true of the nursing process?A. It is a valid alternative to using intuition to respond to nursing situations. B.Scientific problem solving can occur within the nursing process. C.It is more appropriate in medicalsurgical settings than communityhealth care. D. Trial-and-error problem solving is incongruent with the nursing process. The production of standardized tools, indicating a plan or design, is associated with:Homo erectusNeandertalHomo SapiensAustralopithecinesHomo habilis aaron plans to invest $20,000 at the end of year 1, $44,000 at the end of year 2, and $53,000 at the end of year 3. you want to have the same amount of money as aaron three years from now, but you want to make one lump sum investment today. what amount must you invest today if you both earn 9.7 percent per year, compounded annually? multiple choice $88,627 $94,942 $106,655 $154,456 $151,047 which activity helps an organization determine the raw input, equipment, and human resources needed to produce an output? Which of the following are barriers firms need to be aware of when trying to encourage sustainable consumer behavior?Lack or awareness and knowledgeNegative perceptionsDistrustLow availabilityHigh prices (03.02 hc)compare and contrast open, closed, and isolated systems. be sure to discuss the exchange of energy and exchange of matter, and provide at least one example of each. Find x to the nearest hundredth.16X40O A x = 24.89OOB. x = 13.43O C. x 10.28D. x = 12.26 A disconnect exists between what organizations spend on benefits and employees' perception of the benefits' __________.O valueO MarketO customaryO job what immigrants travel in small multi-family groups called kumpania Ratchets.com anticipates that it will need $15,000,000 in venture capital to achieve a terminal value of $400,000,000 in five years.A. Assuming it is a seed stage firm with no existing investors, what annualized return is embedded in their anticipation?B. Suppose the founder wants to have a venture investor inject $15,000,000 in three rounds of $5,000,000 at time 0, 1 and 2 with time 5 exit value of $300,000,000. If the founder anticipates returns of 60%, 50% and 30% for round 1, 2 and 3, respectively, what percent of ownership is sold during the first round? During the second round? During the third round? What is the founders year-five ownership percentage?C. Assuming the founder will have 10,000 shares, how many shares will be issued in rounds 1, 2 and 3 (at times 0, 1 and 2)?D. What is the second round share price derived from the answers in Parts B and C?E. How does the answer to part D change if 10% of the year-five firm is set aside for incentive compensation? How many total shares are outstanding (including incentive shares) by year 5? Please help me solve this [3 + 3 + 3 pts] Let X and Y be two independent and identically distributed random variables taking values-with pmf P (k) = 2-k , k N0 , 0/. Compute the following probabilities: (a)P(min( X,Y)n). (b)P(X=Y)(c)P(X>Y) a vertical marketing system is comprised of independent entities. T/F