Answer: $1.50 for every 1 pound
Step-by-step explanation:
If 2 pounds equal to $3.00 divide $3.00 by 2 and you end up with $1.50, you can also keep adding $1.50 to get the other prices.
Find the derivative of f(w) = 2/(w^2-4)^5
The derivative of function f(w) = [tex]2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.[/tex]
We have,
To find the derivative of the function [tex]f(w) = 2/(w^2 - 4)^5[/tex], we can use the chain rule and the power rule for differentiation.
Let's go through the steps:
First, rewrite the function as [tex]f(w) = 2(w^2 - 4)^{-5}.[/tex]
Now, let's differentiate f(w) with respect to w:
[tex]f'(w) = d/dw~ [2(w^2 - 4)^{-5}][/tex]
To apply the chain rule, we need to differentiate the outer function and multiply it by the derivative of the inner function.
Using the power rule, the derivative of (w² - 4) with respect to w is 2w.
Applying the chain rule:
[tex]f'(w) = -10 \times 2(w^2 - 4)^{-6} \times 2w[/tex]
Simplifying further:
[tex]f'(w) = -40w(w^2 - 4)^{-6}[/tex]
Therefore,
The derivative of function f(w) = [tex]2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.[/tex]
Learn more about derivatives here:
https://brainly.com/question/25324584
#SPJ1
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Appling the tangent of circle properties, the length of RS is solved to be
C. 13 in
How to find the length of the tangentTo find the length of the tangent named RS, we applied the tangent of a circle property which says that the length of tangents to a particular point are equal
This leads to the mathematical equation represented below
SR = 7 in + 6 in
SR = 13 in
thus we can say that length of the tangent SR = 13 in
Learn more about tangents at
https://brainly.com/question/4470346
#SPJ1
Identify the axis of symmetry, vertex, and range for the quadratic function.
Erica bought a road bike using the store’s payment plan. She made a $320 down payment and makes monthly payments of $91. If the total cost is $1,867, how many months will Erica be paying for the bike?
Answer: 17 months
Step-by-step explanation:
Total cost of the bike = $1,867
Down payment = $320
so $1,867 - $320 = $1,547
$91 * 17 = 1,547
(17 = months) so $91 * 17 months = 1,547
After drawing a square on the board, Mr. Hinkle asked his class to identify the shape. Timothy stated that Mr. Hinkle had drawn a rhombus. Which of the following statements is true?
1. What are two significant advantages of a 401(k) over an IRA?
Here are two significant advantages of a 401(k) over an IRA:
Higher Contribution LimitsEmployer Contributions and MatchingThe two significant advantages of a 401(k) over an IRAHigher Contribution Limits: 401(k) plans allow for higher annual contributions compared to IRAs. The contribution limit for a 401(k) is $19,500 (or $26,000 for individuals aged 50 and older), while the limit for an IRA is $6,000 (or $7,000 for individuals aged 50 and older).
Employer Contributions and Matching: 401(k) plans often offer employer contributions and matching programs. Employers may contribute to an employee's 401(k) account, adding to their retirement savings without any direct cost to the employee.
Read more on IRA here:https://brainly.com/question/1637877
#SPJ1
An office 8.5m long and 6.3m wide is to be carpeted to leave a surrounding 60 cm wide around the carpet, what is (a) the area of the office (b) the area of the carpet (c) the area of the surrounding
(a) The area of the office is 53.55 meters square.
(b) The area of the Carpet would be 52.6656 meters square.
(c) The area of the surrounding is 0.8844 meters square.
Area of the office floor= Length × Breadth
= 8.5 meters × 6.3 meters
= 53.55 meters square
Area of the Carpet = Length × Breadth
= (8.5-0.06) meters × (6.3-0.06) meters
Since, 60 cm = 0.06 meters
Because 1 meter = 100 cm
= 52.6656 meters square
Area of surrounding = Area of Office floor - Area of Carpet
= 53.55 meters square - 52.6656 meters square
= 0.8844 meters square
Learn more about Mensuration -
https://brainly.com/question/13077063
What is the measure of angle T and angle V?
The measures of angle T and angle V are T = 90 and V = 90
How to determine the measure of angle T and angle V?From the question, we have the following parameters that can be used in our computation:
The circle
The point T and V are at the tangent of the circle
By definition, the tangent is perpendicular to the radius of the circle, with which it intersects.
This means that the angle T and angle V are right angled
Using the above as a guide, we have the following:
T = 90 and V = 90
Read more about circles at
https://brainly.com/question/25871159
#SPJ1
Which statements are true regarding the expression below? Choose three answers. 8 ^-1. 8 ^-3. 8
The statements that are true regarding the expression with the exponents -1, -3, and 1 are;
An equivalent expression is 8⁷·8⁻¹⁰The sum of the exponent is -3The value of the expression is 1/512What is an exponent?An exponent is a quantity or power to which a value, expression or number is to be raised.
The specified expression can be presented as follows;
8⁻¹ × 8⁻³ × 8
Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³
The sum of the exponent is; -1 + (-3) + 1 = -31/8³ = 1/512
Therefore, the value of the expression is; 1/512Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³
Therefore, 8⁷ × 8⁻¹⁰ and 8⁻¹ × 8⁻³ × 8 are equivalent expressionsLearn more on exponents here: https://brainly.com/question/29831670
#SPJ1
287 megabytes downloaded if 14.4% complete how many are downloaded? Round to nearest tenth
Answer:
To find out how many megabytes have been downloaded, we can multiply 287 by 0.144 (which represents 14.4% as a decimal).
The calculation is:
287 x 0.144 = 41.328
Rounded to the nearest tenth, the number of megabytes downloaded is 41.3.
For what value of x is the rational expression below equal to zero?
x-9
(x-4)(x+4)
OA. -4
B.
C.-9
D. 9
SUBMIT
The value of x is 9
To find the value of x for which the rational expression is equal to zero, we need to set the numerator equal to zero:
x - 9 = 0
Solving for x:
x = 9
Therefore, the value of x = 9.
Looking at the denominator (x - 4)(x + 4), we see that it contains two factors: (x - 4) and (x + 4). For the entire expression to equal zero, either the numerator or one of the factors in the denominator must equal zero.
Setting each factor in the denominator equal to zero:
x - 4 = 0 or x + 4 = 0
x = 4 or x = -4
These are the valid values of x for which the rational expression is equal to zero.
Learn more about Rational expression here:
https://brainly.com/question/12447458
#SPJ1
Ayuda operaciones y respuesta es para ahora
The perimeter of the given window is 48 centimeter.
From the given figure,
Perimeter of window = 2(Length+Breadth)
= 2(10+14)
= 2×24
= 48 centimeter
Perimeter of house = 2(Length+Breadth)
= 2(37+35)
= 2×72
= 144 centimeter
Perimeter of roof = 2(Length+Breadth)
= 2(37+5)
= 2×42
= 84 centimeter
Therefore, the perimeter of the given window is 48 centimeter.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
#SPJ1
Hello, someone help me with this integral, it gets complicated when they are like this, please help, I need it to pass: c
.....dx
∫ --------
...1−25x²
Answer:
∫(1 - 25x²) dx
Step-by-step explanation:
given the function f(x)=logbase2(X), find the y-intercept of g(x) = f(x+4)+8
The y-intercept of f(x + 4) + 8 is given as follows:
10.
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The parent function for this problem is given as follows:
[tex]f(x) = \log_2{x}[/tex]
The translated function is then given as follows:
[tex]g(x) = \log_2{x + 4} + 8[/tex]
The y-intercept of the function is the numeric value at x = 0, hence:
[tex]g(0) = \log_2{0 + 4} + 8[/tex]
g(0) = 2 + 8 = 10.
More can be learned about translations at brainly.com/question/28174785
#SPJ1
pls, I need help fast !!! here are questions 5 and 6
5. The minimum value of g(x) is -8.
The maximum value of g(x) is 17.
6. The average rate of change of the function g(x) over the interval [-2, 3] is 5.
How to determine the maximum and minimum value?By critically observing the table representing the function g(x), we can logically deduce the following minimum value and maximum value over the interval [-2, 3];
When x = -2, the minimum value of g(x) is equal to -8.
When x = 0, the maximum value of g(x) is equal to 17.
Question 6.
In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:
Average rate of change = [f(b) - f(a)]/(b - a)
Next, we would determine the average rate of change of the function g(x) over the interval [-2, 3]:
a = -2; f(a) = -8
b = 3; f(b) = 17
Average rate of change = (17 + 8)/(3 + 2)
Average rate of change = 25/5
Average rate of change = 5
Read more on average rate of change here: https://brainly.com/question/26938069
#SPJ1
100 Points! Geometry question. Photo attached. Find x and y in the right triangle. Please show as much work as possible. Thank you!
Answer:
x = 10.5
y =5.25
Step-by-step explanation:
sin60° = 21√3/x
√3/2 = 21√3/x
=> x = 21√3/√3/2 = 10.5
cos60° = y/x
1/2 = y/10.5
y = 10.5/2 = 5.25
100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
The missing angles are m ∠1 = 53° and m ∠k = 12°.
Given that are two circles we need to find the missing measures,
Using the concept of intersecting chords angles,
When two chords intersect inside a circle, the angle between the chords is half the sum of the intercepted arcs.
And,
When two chords intersect outside a circle, the angle between the chords is half the difference of the intercepted arcs.
So,
a) m ∠1 = 1/2 [arc LP + arc RQ]
m ∠1 = 1/2 [50°+56°]
m ∠1 = 1/2 × 106°
m ∠1 = 53°
b) m ∠k = 1/2 [arc MJ - arc LR]
arc LR = 360° - [72° + 100° + 140°]
arc LR = 48°
So,
m ∠k = 1/2 [72° - 48°]
m ∠k = 12°
Hence the missing angles are m ∠1 = 53° and m ∠k = 12°.
Learn more about intersecting chords angles, click;
https://brainly.com/question/29030115
#SPJ1
Calling card A charges a connect fee of 69¢ plus 1.9¢ perminute. Calling card B has no connect fee but charges 6¢ perminute.
Which system of equations can be used to determine the number of minutes (x) where the price (y) is the same for both cards?
Answer:
16.829 minutes
Step-by-step explanation:
To solve this problem, we need to set up a system of equations based on the given information. Let's define the variables:
Let x be the number of minutes.
Let y be the price in cents.
For calling card A, the price can be calculated using the formula: y = 69 + 1.9x
For calling card B, the price can be calculated using the formula: y = 6x
We want to find the number of minutes (x) where the price (y) is the same for both cards. To set up the system of equations, we equate the two expressions for y:
69 + 1.9x = 6x
Now, we can solve this equation to find the value of x, which represents the number of minutes where the prices are equal.
69 + 1.9x = 6x
To simplify the equation, we can subtract 1.9x from both sides:
69 = 6x - 1.9x
Combining like terms, we have:
69 = 4.1x
To isolate x, we divide both sides of the equation by 4.1:
69 / 4.1 = x
Simplifying the division gives us:
16.829 = x
Therefore, the number of minutes (x) where the price (y) is the same for both calling cards A and B is approximately 16.829 minutes.
Hope this helps!
Answer:
For calling card A: y = 0.019x + 0.69
For calling card B: y = 0.06x
Step-by-step explanation:
For calling card A: y = 0.019x + 0.69
For calling card B: y = 0.06x
Set the prices equal to each other to find when they are the same:
0.019x + 0.69 = 0.06x
Simplify and solve for x:
0.041x = 0.69
x = 16.83 (rounded to two decimal places)
Therefore, if a person expects to talk for 16.83 minutes or more, calling card A will be cheaper. If they expect to talk for less than 16.83 minutes, calling card B will be cheaper.
What is the correct order of the functions from least to greatest according to the average rate of
change on the interval from x=-1 to x-3? (2 points)
The correct option is the second one, the order is:
g(x), f(x), h(x).
How to find the rates of change?To find the rate of change for a function f(x) on an interval [a, b] we need to get:
R = (f(b) - f(a))/(b - a)
Here the interval is [-1, 3]
The first function is:
f(x)= (x + 3)² - 2
Evaluating we get:
f(-1) = (-1 + 3)² - 2
f(-1) = 2² - 2 = 4 -2 = 2
and f(3) = (3 + 3)² - 2 = 34
Then the rate is:
R = (34 - 2)/(3 + 1) = 8
For g(x) we can use the graph, we have:
R = (0 + 2)/4 = 1/2
For the last function we need to use the table, then we will get:
R = (62 - 14)/(3 + 1) = 12
Then the order, from least to greatest is:
g(x), f(x), h(x).
Learn more about rates of change at:
https://brainly.com/question/8728504
#SPJ1
Simplify the following expression.
(6m5g5) 2
The simplified exponential expression in the context of this problem is given as follows:
[tex](6m^5g^5)^2 = 32m^{10}g^{10}[/tex]
How to simplify the exponential expression?The exponential expression in the context of the problem is defined as follows:
[tex](6m^5g^5)^2[/tex]
The power of a power rule is used when a single base is elevated to multiple exponents, and states that simplified expression is obtained keeping the base, while the exponents are multiplied.
Applying the exponent of 2, we have that:
6² = 36.5 x 2 = 10.Hence the simplified exponential expression in the context of this problem is given as follows:
[tex](6m^5g^5)^2 = 32m^{10}g^{10}[/tex]
More can be learned about the power of a power property at brainly.com/question/11975096
#SPJ1
A circle is inscribed inside a square of a side length of 10 cm. What is the area inside the square and outside the circle
Answer:
The figure is omitted--please sketch it to confirm my answer.
[tex]\pi {(5 \sqrt{2}) }^{2} - {10}^{2} [/tex]
[tex]50\pi - 100 = 50(\pi - 2) = 57.08[/tex]
The area inside the square and outside the circle is about 57.08 cm^2.
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer: D = 100π square units
Step-by-step explanation:
The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius of the circle.
In this case, we have a circumference of 20π units, so we can set up the equation as follows:
20π = 2πr
To find the radius, we can divide both sides of the equation by 2π:
r = (20π) / (2π)
Simplifying further:
r = 10
Now that we have the radius, we can calculate the area of the circle using the formula A = πr^2:
A = π * (10)^2
A = π * 100
A = 100π
Use the hundredths grid to answer the question. A 10 by 10 grid is shown. 4 columns and 7 squares are shaded. 2 columns and 5 squares are shaded. Which equation is shown by the shaded area of the model? A. 0 . 29 + 0 . 43 = 0 . 72 B. 0 . 43 + 0 . 22 = 0 . 65 C. 0 . 47 + 0 . 25 = 0 . 72 D. 0 . 23 + 0 . 42 = 0 . 65
Answer:
What the other guy said
Step-by-step explanation:
A dinner theater has fixed costs of $1,000 per day. It costs the dinner theater $10 per person for food and a
ticket to the dinner theater costs $30. How many tickets does the dinner theater have to sell in order to break
even?
50 tickets
O 10 tickets
O 100 tickets
O20 tickets
Some friends start jumping rope during recess at 12:22.They jump rope for 24 minutes.Show and write the they stop jumping rope.Circle A.M or P.M.
Answer:
They would stop jumping rope at 12:46
Step-by-step explanation:
I'd probably say P.M considering the fact that I don't think kids would be having recess at midnight
Angles A and B are supplementary. Determine the measure of angle A if the measure of angle B is 113.8°.
Answer:
m<A = 66.2°
Step-by-step explanation:
m<A + m<B = 180°
m<B = 113.8°
m<A + 113.8° = 180°
m<A = 180° - 113.8°
m<A = 66.2°
The revenue in dollars of a shoe store is modeled by the expression -4.1x² + 9x + 1,325 where x is the number of shoes sold. The cost of selling the shoes is modeled by the expression -10.1x² - 9.6x +10,000. What simplified expression models the profit in
dollars of the company as a function of x?
The sound emitted from the jet plane has a sound intensity of approximately 149.13 decibels.
How to find determine the expression models the profit in dollars of the company as a function of xUsing the formula:
D = 10 * log(I/I0),
where D represents the sound intensity in decibels, I is the given sound intensity, and I0 is the reference intensity of 10^-12 watts per square meter.
Substituting the given values:
D = 10 * log(8.2*10^2 / 10^-12).
To simplify the calculation, we can rewrite the division as multiplication by the reciprocal:
D = 10 * log(8.2*10^2 * 10^12).
Using the logarithm property log(a * b) = log(a) + log(b):
D = 10 * (log(8.2) + log(10^2) + log(10^12)).
Using the logarithm property log(a^b) = b * log(a):
D = 10 * (log(8.2) + 2 * log(10) + 12 * log(10)).
Since log(10) = 1:
D = 10 * (log(8.2) + 2 + 12).
D = 10 * (log(8.2) + 14).
Using a calculator or logarithm table, we can find log(8.2) ≈ 0.913.
D = 10 * (0.913 + 14).
D = 10 * 14.913.
D ≈ 149.13.
Therefore, the sound emitted from the jet plane has a sound intensity of approximately 149.13 decibels.
Learn more about sound intensity at https://brainly.com/question/30338997
#SPJ1
Solve for x |x| = 4
Answer:
x = 2
Step-by-step explanation:
You want the value of x that satisfies x|x| = 4.
DomainThe absolute value function splits the domain of the equation into two parts.
For x < 0, the equation is ...
x(-x) = 4
x² = -4
There are no real solutions in this domain.
For x ≥ 0, the equation is ...
x² = 4
x = √4 = 2
The only solution is x = 2.
__
Additional comment
In the attachment, we have rewritten the equation to ...
x|x| -4 = 0
The graphing calculator readily identifies x-intercepts, so this is a convenient way to find the solution. You will notice that for x < 0, the graph is of -x²-4, which is never zero.
<95141404393>
What is the lateral surface area of the triangular prism below?
The lateral surface area of the triangular base prism is 288 m².
How to find the lateral area of a triangular prism?The lateral area of the triangular base prism can be found as follows:
Lateral area of the triangular base prism = (a + b + c)h
where
a, b and c are the side of the triangleh = height of the prismTherefore,
a = 7 m
b = 8 m
c = 9 m
h = 12 m
Therefore,
Lateral area of the triangular base prism = (7 + 8 + 9)12
Lateral area of the triangular base prism = 24 × 12
Lateral area of the triangular base prism = 288 m²
learn more on lateral area here: https://brainly.com/question/29047291
#SPJ1
A wagon is pulled with a force of 80 pounds by a handle that
makes an angle of 20° with the horizontal.
A
What is the horizontal component of the force correct to the
nearest tenth?
27.4
B
75.2
80
20°
C
76.2
D 76.4
Explanation:
The horizontal component is found using cos fxn
80 x cos 20 = 75.2 pounds