an online store begins selling a new kind of baskelballshoe. At week zero, 30 pairs of shoes were sold.
In week 3, the store sold 240 pairs of shoes. Write an exponential model that relates the number of shoes sold to the week number, and use the model to predict how many shoes will be sold during week 7.

Answers

Answer 1

Answer:

3840 pairs of shoes

Step-by-step explanation:

To write an exponential model that relates the number of shoes sold to the week number, we can use the general form of an exponential function:

y = a * b^x

where:

y is the number of shoes sold,

x is the week number, and

a and b are constants to be determined.

Given the information:

In week 0, 30 pairs of shoes were sold.

In week 3, 240 pairs of shoes were sold.

We can use these two data points to determine the values of a and b.

Using the data point for week 0:

30 = a * b^0

30 = a

Using the data point for week 3:

240 = 30 * b^3

8 = b^3

b = 2 (taking the cube root of both sides)

Therefore, the exponential model that relates the number of shoes sold to the week number is:

y = 30 * 2^x

To predict the number of shoes sold during week 7, we substitute x = 7 into the model:

y = 30 * 2^7

y = 30 * 128

y = 3840

Therefore, the model predicts that 3840 pairs of shoes will be sold during week 7.


Related Questions

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

Answer:

Step-by-step explanation:

32 60 68

Ochenta y nueve en número romano ??

Answers

Answer:

LXXXIX

Step-by-step explanation:

ochenta y nueve es 89.

89 en numero romano es LXXXIX.

Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.
6543/2
-24
1-3-

Answers

Answer:

x intercept at( -2)

y intercept at (4)

The x-intercept and the y-intercept are -2 and 4 respectively.

The X-intercept is the point where the line of an equation intersects the X-axis. While y-intercept is the point where the line of an equation intersects the Y-axis. Here, the X-axis is the horizontal axis, and the Y-axis is the vertical axis.

Since the given graph shows the line intersecting the X-axis i.e. the horizontal axis at -2, the x-intercept of the line would be -2. Whereas, since the line intersects the Y-axis at 4, the y-intercept is 4. The points that show these intercepts are (-2,0) for the x-intercept and (0,4) for the y-intercept.

∴ The intercepts are -2,4 respectively.

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variable of 10(n+3)=1,000,00

Answers

Answer: Distribute the 10 on the left side of the equation:

10n + 30 = 1,000,000

Subtract 30 from both sides of the equation to isolate the term with n:

10n = 1,000,000 - 30

10n = 999,970

Divide both sides of the equation by 10 to solve for n:

n = 999,970 / 10

n = 99,997

Therefore, the value of the variable n that satisfies the equation 10(n + 3) = 1,000,000 is n = 99,997.

Step-by-step explanation:

A truck travels from warehouse A at (–4,8) to warehouse B at (–4,–1). If each unit represents 20 miles per hour, how long will it take the truck to travel this distance?

Answers

It will take the truck 9 hours to travel from warehouse A to warehouse B.

To determine the time it takes for the truck to travel from warehouse A at (-4, 8) to warehouse B at (-4, -1), we need to calculate the distance between these two points and then convert it to time using the given unit of 20 miles per hour.

First, let's find the vertical distance between the two points. The y-coordinate of warehouse A is 8, and the y-coordinate of warehouse B is -1. So the vertical distance is 8 - (-1) = 9 units.

Next, we convert the vertical distance to miles. Since each unit represents 20 miles per hour, we multiply the vertical distance by 20: 9 units × 20 miles/unit = 180 miles.

Now, we can calculate the time it takes to travel this distance. We divide the distance by the speed of the truck, which is 20 miles per hour: 180 miles / 20 miles per hour = 9 hours.

Therefore, it will take the truck 9 hours to travel from warehouse A to warehouse B.

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(02.02 MC)

If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′′′ lie?

Trapezoid formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at 0, 1.

(1, −1)
(−4, 1)
(1, 1)
(−4, −1)

Answers

The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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a pyramid and a cone are both 10 centimeters tall and have the same volume what statement

Answers

Answer: "The pyramid and the cone have the same volume despite their different shapes."

Step-by-step explanation: If a pyramid and a cone are both 10 centimeters tall and have the same volume, then the statement that can be made is:

"The pyramid and the cone have the same volume despite their different shapes."

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50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

Answer:

B. 108 ft³

Step-by-step explanation:

solution given:

We have Volume of solid = Area of base * length

over here

base : 9ft

height : 6 ft

length : 4ft

Now

Area of base : Area of traingle:½*base*height=½*9*6=27 ft²

Now

Volume : Area of base*length

Volume: 27ft²*4ft

Therefore Volume of the solid=108 ft³

100 Points! Geometry question. Photo attached. Use the Pythagorean Theorem to find x. Please show as much work as possible. Thank you!

Answers

The value of x is,

⇒ x = 21.65

We have to given that,

A right triangle is shown in image.

Since, The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Hence, We get;

⇒ 25² = 12.5² + x²

⇒ 625 = 156.25 + x²

⇒ x² = 625 - 156.25

⇒ x² = 468.75

⇒ x = 21.65

Thus, The value of x is,

⇒ x = 21.65

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Which of the following answers to the question below is correct (multiple answers can be chosen)?

Question: Let s(t) be the position of a moving particle at time t. Choose ALL that represent the average speed of the particle over the time interval [0,4]?

1. s(4)/4
2. s(4)-s(0)/4
3. The slope of the secant line from (0, s(0)) to (4, s(4))
4. The slope of the tangent line at (0, s(0))​

Answers

Answer:

The average speed of a particle over a time interval is defined as the total distance traveled divided by the time elapsed. In this case, the average speed of the particle over the time interval [0,4] is represented by options 2 and 3. Option 2 represents the change in position over the time interval [0,4] divided by the time elapsed. Option 3 represents the slope of the secant line connecting the points (0,s(0)) and (4,s(4)), which is equivalent to the average rate of change of position over the time interval [0,4].

the correct answers are, 2 and 3

which table does not show y as a function of x?

Answers

Answer:

I am confident the answer is H.

Two cars leave towns 850 kilometers apart at the same time and travel toward each other. One car's rate is 16 kilometers per hour less than the other's. If they meet in 5 hours, what is the rate of the slower car? Do not do any rounding.

Answers

Answer:9.5

Step-by-step explanation:

Change 0.12 to a ratio.

Answers

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1


Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

 

12 ÷ 4

---------  = 3/25  

100 ÷ 4


Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

The centre of a circle is the point with coordinates (-1, 2)
The point A with coordinates (5, 9) lies on the circle.
Find an equation of the tangent to the circle at A.
Give your answer in the form ax + by + c = 0 where a, b and c are integers.

Answers

The equation of the tangent to the circle at point A is 6x + 7y - 93 = 0

How do we solve for the equation of the tangent to the circle?

The equation of a circle in standard form is (x-h)² + (y-k)² = r²,

(h,k) is the center of the circle

r is the radius.

The radius formula ⇒ √((x₂ - x₁)² + (y₂ - y₁)²).

Here,

x₁ = -1, y₁ = 2 (center of the circle),

x₂ = 5, y₂ = 9 (point A on the circle).

r = √((5 - (-1))² + (9 - 2)²) = √(36 + 49) = √85.

Now, we have the equation of the circle: (x - (-1))² + (y - 2)² = 85, or (x + 1)² + (y - 2)² = 85.

The slope of the radius from the center of the circle to point A ⇒ (y₂ - y₁) / (x₂ - x₁)

= (9 - 2) / (5 - (-1)) = 7/6.

tangent line is the negative reciprocal of the slope of the radius, ∴ -6/7.

The equation of a line in point-slope form is y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.

The slope of the tangent line (m) is -6/7 and it passes through point A(5,9). Substituting these values in, it becomes

y - 9 = -6/7 (x - 5).

Multiplying every term by 7 to clear out the fraction and to have the equation in the ax + by + c = 0 form, we get:

7y - 63 = -6x + 30,

or

6x + 7y - 93 = 0.

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find the quotient of 5/31 divided by 15/23 . reduce your answer to the lowest fraction

Answers

To find the quotient of 5/31 divided by 15/23, first invert the divisor and multiply. This gives us (5/31) x (23/15). We can simplify this expression by canceling out the common factors of 5 and 15, which gives us (1/31) x (23/1) = 23/31. Therefore, the quotient of 5/31 divided by 15/23, reduced to the lowest fraction, is 23/31.

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

Angle C of the triangle measures 68°.

Side AC = 22.90

Side BC = 14.26

Given triangle,

∠A = 37°

∠B = 75°

AB = 22

Now,

Sum of all the interior angles of triangle is 180.

So,

∠A + ∠B +∠C = 180°

37° + 75° + ∠C = 180°

∠C = 68°

Now,

According to sine rule,

Ratio of side length to the sine of the opposite angle is equal.

Thus,

a/SinA = b/SinB = c/SinC

Let,

BC = a

AC = b

AB = c

So,

a/Sin37 = b/Sin75 = c/Sin68

a/0.601 = b/0.965 = 22/0.927

Solving,

BC = a = 14.26

AC = b = 22.90

Thus with the properties of triangle side length and angles can be calculated.

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Find the volume of a cone of radius 3.5cm and vertical height 12 cm.

Answers

Answer:

Volume ≈ 153.93804 cm^3

Rounded to the nearest whole number, the volume of the cone is approximately 154 cm^3.

Step-by-step explanation:

Multiplying polynomials 4n2(n2 + 5n - 8)

Answers

Answer:

4n^4 + 20n^3 - 32n^2

Step-by-step explanation:

We have to distribute 4n2 to each term.

4n2 x n2. We can multiply the two n2 together resulting in 4n^4.

Now we do 4n2 x 5n. Here we multiply 4 x 5 which equals 20. Then, we multiply the n2 and n. Which results in n^3. Now we put them together; 20n^3.

Finally, we multiply 4n2 by -8. Since 8 doesn't have any variables, we just multiply the 4 and -8. Which equals to -32, now we just combine -32 and the variable; -32n2.

Now we combine these terms together. Our final answer is, 4n^4 + 20n^3 -32n^2.

^ represents an exponent.

For Exercises 24-29, find each value.
24. Sin x
25 cos x
26 tan x
27. Sin y
28. Cos y
29. Tan y

Answers

All the values of expressions are,

24. Sin x = 1/√17

25 cos x = 4/√17

26 tan x = 1/4

27. Sin y = 4/√17

28. Cos y = 1/√17

29. Tan y = 4

We have to given that,

A right triangle is shown in figure.

Now, We can simplify all the values,

24. Sin x = Opposite / Hypotenuse

sin x = 2 / 2√17

sin x = 1/√17

25) cos x = Base / Hypotenuse

cos x = 8 / 2√17

cos x = 4/√17

26) tan x = Opposite / Base

tan x = 2 / 8

tan x = 1/4

27. Sin y = Opposite / Hypotenuse

sin y = 8 / 2√17

sin y = 4/√17

28. Cos y = Base / Hypotenuse

cos y = 2 / 2√17

cos y = 1/√17

29. Tan y = Opposite / Base

tan y = 8 / 2

tan y = 4

Thus, All the values of expressions are,

24. Sin x = 1/√17

25. cos x = 4/√17

26. tan x = 1/4

27. Sin y = 4/√17

28. Cos y = 1/√17

29. Tan y = 4

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Phil spends no more than 12 hours per week knitting. It takes him 2 hours to knit a hat and
3 hours to knit a scarf. He uses 150 yards of yarn for each hat and 400 yards of yarn for each
scarf. Which combinations of complete hats and scarves can Phil knit if he has 900 yards of yarn?
Select all of the correct answers.
A. 1 hat, 1 scarf
B. 3 hats, 2 scarves
C. 6 hats, 0 scarves
D. 4 hats, 1 scarf
E. 0 hats, 4 scarves
F. 2 hats, 1 scarf

Answers

The correct options regarding the inequality are:

A. 1 hat, 1 scarf

D. 4 hats, 1 scarf

F. 2 hats, 1 scarf

How to explain the inequality

Based on the time constraint, Phil can spend a maximum of 12 hours knitting, so we can set up the following inequality:

2h + 3s ≤ 12,

Phil can knit at most 6 hats per week, because 6 hats * 2 hours/hat = 12 hours.

Phil can knit at most 4 scarves per week, because 4 scarves * 3 hours/scarf = 12 hours.

Phil can use at most 900 yards of yarn, because he has 900 yards of yarn.

Phil can knit 1 hat and 1 scarf, because 1 hat * 150 yards/hat + 1 scarf * 400 yards/scarf = 550 yards < 900 yards.

Phil can knit 4 hats and 1 scarf, because 4 hats * 150 yards/hat + 1 scarf * 400 yards/scarf = 900 yards.

Phil can knit 2 hats and 1 scarf, because 2 hats * 150 yards/hat + 1 scarf * 400 yards/scarf = 700 yards < 900 yards.

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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

The length of the arc LM is 8.72 cm.

We have,

The length of an arc is the distance that runs through the curved line of the circle making up the arc.

The length of an arc is expressed as;

l = tetha/360 × 2πr

tetha = R

R = 100°

and, radius = 5 units

so, we get,

l = 100/360 × 2 × 3.14 × 5

l = 8.72 cm (1.dp)

therefore the length of the arc LM is 8.72 cm

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For what value of x is the rational expression below undefined?
x-3
3+x
A. 3
OB. -1
O C. 0
OD. -3

Answers

Answer:

x= -3

Step-by-step explanation:

x-3

-----------

x+3

This expression is undefined when the denominator is zero.

x+3 =0

x= -3

Descrive in words the rule that is used to determine the term value from its position in the sequence​

Answers

The rule used to determine the term value from its position in the sequence is often referred to as the "nth term" rule.

What is the nth-term rule?

The nth-term rule involves identifying a pattern or relationship between the position (n) of a term in the sequence and the value of that term.

By analyzing the pattern, such as the common difference or common ratio, the nth-term rule allows us to express the value of any term in the sequence based on its position.

This rule provides a formula or equation that relates the position of a term to its corresponding value in the sequence.

Mathematically, the rule is:

T(n) = a + (n - 1) * d

where:

T(n) represents the value of the term at position n.a represents the first term in the sequence.n represents the position or index of the term in the sequence.d represents the common difference (for arithmetic sequences) or the common ratio (for geometric sequences) between consecutive terms.

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The slop of the graphed line is 2/3

Answers

The formulas that represent the linear function in this problem are given as follows:

y - 2 = 2/3(x - 1).y - 4 = 2/3(x - 4).f(x) = 2x/3 + 4/3.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The line has a slope of 2/3, hence:

y = 2x/3 + b.

When x = 1, y = 2, hence the intercept b is obtained as follows:

2/3 + b = 2

b = 6/3 - 2/3

b = 4/3.

Hence the slope-intercept equation of the line is given as follows:

f(x) = 2x/3 + 4/3.

The line goes through points (1,2) and (4,4), hence the point-slope equations to the line are given as follows:

y - 2 = 2/3(x - 1).y - 4 = 2/3(x - 4).

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Graph the equation shown below by transforming the given graph of the parent
function.

Answers

Answer:

Step-by-step explanation:

it is only moving 3 to the right, so shift the green dot to (3,0)

I used desmos . com for the graph

pedro walks at a rate of 4 miles per hour and runs at a rate of 8 miles per hour. Each Week, his exercise program requires him to cover a total fist of 20 miles with some combination of walking and/or running.

A. write an equation that represents the different amounts of time pedro can walk, x, and run, y, each week.
B. graph the equation
C. what is the y- intercept? what does this tell you?

Answers

The equation showing the problem is: 4x + 8y = 20

The graph is attached and the y intercept is (0, 2.5)

How to model the equation

Assuming that:

Time spent walking x hoursTime spent running  y hours

Since Pedro walks at a rate of 4 miles per hour, the distance he covers by walking would be

4x miles

Also Pedro runs at a rate of 8 miles per hour, the distance he covers by running would be

8y miles

According to the given information, the total distance Pedro covers each week is 20 miles. Therefore, we can write the equation:

4x + 8y = 20

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Multiply the following binomials (2x - 3y)(8x - y)

Answers

Answer:

16x + [tex]3y^{2}[/tex] - 26xy

Step-by-step explanation:
PEMDAS

(2x - 3y)(8x - y)
= 16x - 2xy - 24xy + [tex]3y^{2}[/tex]
= 16x + [tex]3y^{2}[/tex] - 26xy

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

8 feet

Step-by-step explanation:

Let b be the length of the base. Then the height is b+6 ft.

The area of the parallelogram is given by:

Area = b(b + 6) = 160

Solving for b, we get,

[tex]b^2 + 6b - 160 = 0[/tex]

Factoring the expression, we get:

(b - 8)(b + 20) = 0

Therefore, b = 8 or b = -20.

Since the base cannot be negative, b = 8.

Therefore, the length of the base of the parallelogram is 8 feet.

geometry worksheet find the measure of the arc or angle indicated

Answers

The value of the measure of the arc or angle indicated are,

⇒ m ∠DCE = 54°

⇒ m ∠MON = 53°

Now, We can simplify as,

4) As shown in figure,

m arc DE = 360° - (121° + 131°)

m arc DE = 360° - 252°

m arc DE = 108°

So, We get;

⇒ m ∠DCE = m DE / 2

⇒ m ∠DCE = 108 / 2

⇒ m ∠DCE = 54°

4) As shown in figure,

m arc MN = 360° - (109° + 145°)

m arc MN = 360° - 254°

m arc MN = 106°

So, We get;

⇒ m ∠MON = m MN / 2

⇒ m ∠MON = 106 / 2

⇒ m ∠MON = 53°

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What is B^2+8b+7??

Can someone explain it step by step please?

Answers

Step-by-step explanation:

B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).

To factor a quadratic expression, you can use the following steps:

1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).

2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.

In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:

(b+7)(b+1)

This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).

Here is a step-by-step explanation of how to factor B^2+8b+7:

1. The coefficient of the middle term is 8.

2. The constant term is 7.

3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.

4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).

B^2+8b+7 is a quadratic expression.

To solve it, you can use the quadratic formula, which is:

x = (-b ± √(b^2 - 4ac)) / 2a

In this case, a = 1, b = 8, and c = 7.

So, substituting the values, we get:

x = (-8 ± √(8^2 - 4(1)(7))) / 2(1)

x = (-8 ± √(64 - 28)) / 2

x = (-8 ± √36) / 2

x = (-8 ± 6) / 2

x = -1 or -7

Therefore, B^2+8b+7 is equal to -1 or -7.
Other Questions
explain step by step4. Solve for x: (A) -2 113 (B) 0 1-1 =9 (C) -1 11 (D) 2 (E) 3 Read the excerpt from "Do not go gentle into that good night."Though wise men at their end know dark is right,Because their words had forked no lightning theyDo not go gentle into that good night.Good men, the last wave by, crying how brightTheir frail deeds might have danced in a green bay,Rage, rage against the dying of the light.Wild men who caught and sang the sun in flight,And learn, too late, they grieved it on its way,Do not go gentle into that good night.Grave men, near death, who see with blinding sightBlind eyes could blaze like meteors and be gay,Rage, rage against the dying of the light.Which statement best describes the effect of the repetition of "men preceded by an adjective?A.It reinforces the idea that all people, not just the speaker's father, should fight against death.B.It emphasizes that all men, no matter what their lives have been like, should accept death when it comes.C.It supports the speaker's idea of an eternal life after death for people of all walks of life.D.It highlights the speaker's grief at being unable to come to use the Binomial Theorom to find the coofficient of in the expansion of (2x 3) In the expansion of (2x + 3) the coefficient of is (Simplify your answer.)" (4) (Assignment 5) Evaluate the following triple integral using cylindrical coordinates. III z dV, R where R is the solid bounded by the paraboloid z = 1 x2 - y2 and the plane z = 1 - 0. 1. Determine which of the following differential equations are separable. If the differential equation is separable, then solve the equation.(a) dy/ dt = -3y(b) dy /dt -ty = -y(c) dy/ dt -1 = t(d) dy/dt = t - y the most serious withdrawal symptom associated with alcoholism is geo replication is enabled by default in windows azure storage your employer automatically puts 15 percent of your salary into a 401(k) retirement account each year. the account earns 7% interest. suppose you just got the job, your starting salary is $30000, and you expect to receive a 2% raise each year. for simplicity, assume that interest earned and your raises are given as nominal rates and compound continuously. find the value of your retirement account after 30 years why are many scientists alarmed by the overuse of antibiotics? Provide an example of bacterial resistance along with its dangerous impact on health and Medicine. Kelly K. invested in a stock for five years. The annual return over the past five years were: 29.5%, 38.5%, 38.1%, -4.5%, and 34.1%, respectively. What was her average annualized rate of return over the past five years? After Martha gave her class a test, she compared their scores to a set of existing norms for their age. Martha most likely gave her class a(n) ______ test. "Another term for network congestion" defines which of the following?a. Bottleneckingb. constrictedc. constrictingd. bottlede. none of these answers are correct Prove that Span {4]}----{8-6)} 61 Span in R. (Remember that to prove two sets are equal, you must show that they are subsets of cach other.) Consider the function g defined by g(x, y) = cos (Iy) + 1 log3(x - y) Do as indicated. 2. Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v = (1,2). Write down in details the formulae of the Lagrange and Newton's form of the polynomial that interpolates the set of data points (-20.yo), (21,41),..., (nyn). (3) 1-2. Use the results in 1-1. to determine the Lagrange and Newton's form of the polynomial that interpolates the data set (0,2), (1,5) and (2, 12). [18] 1-3. If an extra point say (4.9) is to be added to the above data set, which of the two forms in 1-1. would be more efficient and why? (Don't compute the corresponding polynomials.] [5] A torque applied to a flywheel causes it to accelerate uniformly from a speed of 300 rev/min to a speed of 900 rev/min in 6 seconds. Determine the number of revolutions N through which the wheel turns during this interval. (Suggestion: Use revolutions and min- utes for units in your calculations.) an ideal shelter for housing a temperature-measurement instrument should be The position of a cougar chasing its prey is given by the function s = 1 - 61? + 9t, 120 where t is measured in seconds and s in metres. [8] a. Find the velocity and acceleration at time t. b. When does the cougar change direction? C. When does the cougar speed up? When does it slow down? Based on the data, which of the following most accurately matches a potential change with its predicted effects on the southern Florida ecosystem? a. Increase in rainfall Decrease in sea turtle populations b. Decrease in seagrass coverage Increase in fish populations c. Increase in ocean temperatures Increase in coral populations d. Increase in development and tourism Increase in bird populations a ball of radius 14 has a round hole of radius 4 drilled through its center. find the volume of the resulting solid.