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A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty


at the start, and an electric air pump is filling it with air at the rate of 1600 cubic inches per minute.


The formula for the volume of a sphere is 4*


Part A


Enter an equation for the amount of air still needed to all the ball to its maximum volume, y, with respect to the


number of minutes the pump has been pumping air into the ball, X.


Part 8


Enter the total amount of air, in cubic inches, still needed to fill the ball after the pump has been running for 4


minutes


Part C


Enter the estimated number of minutes it takes to pump up the ball to its maximum volume.

The  equation she will use to determine how much money she'll have after 2 years is: A = 49,000*(1+0.153/12)^(2*12).

After 2 years she'll have $70,960.36.

The formula for compound interest is: A = P * (1 + r/n)^(n*t).  In the formula, we convert the annual interest rate to a monthly rate by dividing it by 12 (the number of months in a year), and we multiply the number of years by 12 to get the number of months.

Using this formula, we can calculate how much money Lara will have after 2 years:

A = 49000 * (1 + 0.153/12)^(12*2)

A = $70,960.36

Therefore, Lara will have $70,960.36 after 2 years of compounding her investment monthly at 15.3%.

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The area of the regular octogon is 196.15 square inches.

For a regular octogon with apothem A and side length L, the area is given by:

area =(2*A*L) * (1 + √2)

Here we know that:

A = 7in

L = 5.8 in

Replacing these values in the area for the formula, we will get the area:

area = (2*7in*5.8in) * (1 + √2)

area = 196.15 in²

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Answer:

i think it is 120

Step-by-step explanation:

The working-set size would depend on the specific window being considered, since the reference stream has a varying number of distinct pages over different windows. We cannot determine the working-set size without specifying which window to consider.

(a) Using Belady's optimal algorithm, the reference stream with a page frame allocation of 3 will incur a total of 9 page faults.

(b) Using the LRU algorithm, the reference stream with a page frame allocation of 3 will incur a total of 16 page faults.

(c) Using the FIFO algorithm, the reference stream with a page frame allocation of 3 will incur a total of 15 page faults.

(d) Using the working-set algorithm with a window size of 6, the reference stream will incur a total of 14 page faults.

(e) To determine the working-set size, we need to keep track of the set of pages referenced within a window of size 6. After the entire reference stream has been processed, the working-set size will be the number of distinct pages referenced in the window.

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The series of transformations that shows that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other is a combination of translation and rotation that involves 150 degrees. A transformation refers to the process of changing an object's position, size, or shape.

Translation, reflection, rotation, dilation, and skew are the five basic transformation types that modify an object.In geometry, congruent shapes have the same shape and size. To superimpose one shape onto another means to make them coincide with each other.

The following series of transformations would show that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other: Step 1: Translation. Translate the parallelogram ABCD by 5 units to the right and 6 units down to obtain parallelogram A1B1C1D1.Step 2: Rotation. Rotate parallelogram A1B1C1D1 by 150 degrees counterclockwise around point A1 to obtain parallelogram A2B2C2D2.Step 3: Translation. Translate parallelogram A2B2C2D2 by 8 units to the right and 3 units up to obtain parallelogram A'B'C'D'.Thus, the series of transformations that shows that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other involves translation and rotation, with a rotation of 150 degrees.

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awnser:

k= 75

5+13= 18                             = k

and your trying to get to 93 so 75+18=93 so

75=k

Step-by-step explanation:

The simple multiplier of the economy represented by the system of equation above is: 4/7.

The simple multiplier is the ratio of the change in equilibrium output to a change in autonomous expenditures, such as government spending or investment.

To find the simple multiplier in the economy, we need to first determine the equation for equilibrium output, which is where aggregate demand (AD) equals aggregate supply (AS).

Setting y in both equations equal to each other, we get:

710 - 30p + 5g = 10 + 5p - 2s

Simplifying and rearranging, we get:

35p = 700 + 2s - 5g

p = (20/7) + (2/35)s - (1/7)g

Now that we have the equilibrium price, we can substitute it back into the AD equation to find the equilibrium output (y):

y = 710 - 30[(20/7) + (2/35)s - (1/7)g] + 5g

y = (400/7) + (6/7)s + (4/7)g

The simple multiplier is then equal to the change in equilibrium output divided by the change in government purchases:

simple multiplier = Δy/Δg = 4/7

Therefore, the simple multiplier in the economy is 4/7.

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Answer:

slope=3

y-intercept=-1

Step-by-step explanation:

a machine can pack a 3 ft by 3 ft by 1 ft carton with packing material in 3 seconds Then it would take 32 seconds to fill a carton that measures 4 ft by 4 ft by 6 ft

1) we calculate the volume of the first carton:

volume=length x width x height

volume=3 ft * 3 ft * 1 ft=9 ft³

Therefore:

A machine can fill 9 ft³ in 3 seconds.

2) we calculate the volume of the second carton.

volume=length x width x heigth

volume=4 ft * 4 ft * 6 ft=96 ft³

3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.

9 ft³---------------------3 seconds

96 ft³--------------------      x

x=(96 ft³ * 3 seconds) / 9 ft³=32 seconds.

Hence , a machine can pack a 3 ft by 3 ft by 1 ft carton with packing material in 3 seconds Then it would take 32 seconds to fill a carton that measures 4 ft by 4 ft by 6 ft

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Answer:

240 ft^2

Step-by-step explanation:

10*18=180

20*6=120

120/2 = 60

180+60=240

Answer:

624

Step-by-step explanation:

\( 2(\frac{1}{2} \times 6 \times 8 ) + (24 \times 8) + (24 \times 6) + (10 \times 24)\\ = 624\)

The degrees of freedom for calculating a confidence interval estimate when sigma is not known and using a sample size of 35 would be 34.

In statistical inference, the degrees of freedom represent the number of independent pieces of information available in a sample. When estimating a population parameter, such as the mean or the difference in means, using a t-distribution, the degrees of freedom are determined by the sample size minus 1. In this case, with a sample size of 35, we subtract 1 to obtain 34 degrees of freedom.

The choice of degrees of freedom is important because it affects the shape and width of the t-distribution, which is used to calculate the confidence interval. As the sample size increases, the t-distribution approaches the shape of a standard normal distribution, and the number of degrees of freedom becomes less influential.

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Answer:

erm

Step-by-step explanation:

The sides will be:

6cm

6cm

4cm

Answer:

In isosceles triangle two sides are equal . Let the length be x .hence perimeter can be given as x + x + 6 . Therefore 2x + 6 = 16 . And 2x = 10 .and hence x =5 . So the length of each side is 5 cm

Step-by-step explanation:

Open questions:

Closed questions:

Open questions allow individuals to express their thoughts, feelings, and opinions freely. These questions promote exploration and encourage the respondent to provide unique and personal insights.

Closed questions provide limited options for responses and are useful when seeking specific information or clarifying details. They are used in surveys, assessments etc.

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Answer: The display becomes skewed left.

Step-by-step explanation:

6n because 5n +n =6 its probably wrong so hope its right??????

Answer:

8,000

Step-by-step explanation:

a number can be rounded up if it is 500 or bigger but here the number is going to be rounded down

Question:

You are in a bike race. When you get to the first checkpoint, you are 2/5 of the distance to the second checkpoint. When you get to the second check point, you are 1/4 of the distance to the finish. If the entire race is 40 miles, what is the distance between the start and the first check point?

Answer: 4 miles

Step-by-step explanation:

Let distance between start to first checkpoint = x

First checkpoint to second checkpoint = 2/5 of x

Distance of start to checkpoint 1 = ( 2/5 of start to checkpoint 2)

Distance of start to checkpoint 2 = (1/4 of start to finish)

If start to checkpoint 2 = 1/4 of start to finish

Then,

Distance of start to checkpoint 1 = ( 2/5 * 1/4 of start to finish)

Distance of start to checkpoint 1 = 2/20 of start to finish = 1/10 of start to finish

Entire race = 40 miles = distance from start to finish

1/ 10 of 40

= ( 1/10) × 40

= 4 miles

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

Answer:

z-7

Step-by-step explanation:

hope this helped!

Answer:

x=4

Step-by-step explanation:

3x+5=17

17-5=12

3x=12

x=4

Hope this helps!

-AxekickNebulite

Answer:

,2.5

25/10

5/2 I hope it is a right answers

Correlation coefficients examine the relationship between variables.

They help in determining the strength and direction of the association between two continuous variables, making it easier to understand and interpret their connection.

Correlation coefficients are statistical measures used to examine the relationship between two or more variables. The correlation coefficient quantifies the degree to which the variables are related or associated with each other.

A positive correlation coefficient indicates that when one variable increases, the other variable also tends to increase, while a negative correlation coefficient indicates that when one variable increases, the other variable tends to decrease.

A correlation coefficient of zero indicates no relationship between the variables.

Correlation coefficients are often used in research studies to examine the strength and direction of the relationship between two variables.

For example, in a study examining the relationship between exercise and weight loss, a correlation coefficient could be calculated to determine how strongly exercise and weight loss are related.

It is important to note that correlation does not imply causation, and a strong correlation between two variables does not necessarily mean that one variable causes the other.

Correlation coefficients are simply used to describe the relationship between two variables and to identify patterns in the data.

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The last to appear in the ones position of a number in the Fibonacci sequence is 6.

The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21 , … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that  is the last to appear in the ones position of a number in the Fibonacci sequence.

Thus, The last to appear in the ones position of a number in the Fibonacci sequence is 6.

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Answer:

\(6(7-3y)+6(y+1) = - 12y + 48\)

Step-by-step explanation:

Given

\(6(7-3y)+6(y+1)\)

Required

Determine the equivalent expression

We have:

\(6(7-3y)+6(y+1)\)

Open brackets

\(6(7-3y)+6(y+1) = 6 * 7 - 6 * 3y + 6 * y + 6 * 1\)

\(6(7-3y)+6(y+1) = 42 - 18y + 6y + 6\)

Collect like terms

\(6(7-3y)+6(y+1) = - 18y + 6y + 6 + 42\)

\(6(7-3y)+6(y+1) = - 12y + 48\)

Answer: 2075

Step-by-step explanation:

Sonia traveled 2905 miles in 7 days

2905/7=415 miles/day

415*5=2075 miles

============================================================

Explanation:

If the diameter is d = 18, then the radius is half that at r = d/2 = 18/2 = 9

Then that radius is plugged into the circle area formula below

A = pi*r^2

A = pi*9^2

A = pi*81

A = 81pi

If you were to use an approximation like pi = 3.14, then the approximate area would be 81*pi = 81*3.14 = 254.34 mm^2; however, your teacher wants you to write the exact area.

Answer:   If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled

Step-by-step explanation:

Answer:

So the area is quadrupled in this case.

Step-by-step explanation:

Pls, choose me as brainliest!

The equivalent expression is 4x-7y. Option D

These are expressions that are composed of terms, variables, constants, coefficients and factors.

They are also identified with arithmetic operations such as addition, multiplication, division, bracket, parentheses, subtraction, etc.

Equivalent expressions are those expressions that  have the same solution but differ in the arrangement of terms.

We have the expression;

-1/6 (-24x + 42y)

multiply the values

24x/6 -42y/6

Divide the values

4x - 7y

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