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## A rectangle has a length of the cube root of 81 inches and a width of 3 to the 2 over 3 power inches. Find the area of the rectangle. Select one: a. 3 to the 2 over 3 power inches squared b. 3 to the 8 over 3 power inches squared c. 9 inches squared d. 9 to the 2 over 3 power inches squared

A rectangle has a length of the cube root of 81 inches and a width of 3 to the 2 over 3 power inches. Find the area of the rectangle. Select one: a. 3 to the 2 over 3 power inches squared b. 3 to the 8 over 3 power inches squared c. 9 inches squared d. 9 to the 2 over 3 power inches squared

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## Simplify completely quantity x squared minus 4 x plus 4 over quantity x squared plus 10 x plus 25 times quantity x plus 5 over quantity x squared p .

Simplify completely quantity x squared minus 4 x plus 4 over quantity x squared plus 10 x plus 25 times quantity x plus 5 over quantity x squared p .

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## If the area of circle p is 1,600 units squared, in units what is the diameter?

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## Grace was given the description “three less than the quotient of a number squared and nine, increased by eight” and was asked to evaluate it when n = 6. Her work is shown below.

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## If the telescope is 1 m deep and 8 m wide, how far is the focus from the vertex? 1 2 4 16 Find the vertex, focus, directrix, and focal width of the parabola. negative 1 divided by 12 times x squared = y

First, let me introduce the general equation of the parabola:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2=+/- 4a(x-h), where

(h,k) are the coordinates of the vertex
a is the distance of the vertex to the focus
4a = length of lactus rectum or the focal width

If the equation contains (x-h)^2, then the parabola passes the x-axis twice. Similarly, (y-k)^2 passes the y-axis twice. If the sign is (-), it opens to the left(if y-axis) or downward (if x-axis). If the sign is (+), it opens to the right(if y-axis) or upward (if x-axis).

The equation of the parabola is -1/12 x^2 = y. Rearranging to the general form:

x^2 = -12y
Therefore,

-4a = -12
4a = 12
a = 3, and the parabola is facing downwards.

The vertex is (0,0) at the origin.
The focus is (0,-3). Since it is negative, the focus is situated downwards, hence -3.
The directrix is the mirror image of the focus. Hence, it is a line passing +3 on the y-axis. y=3
Focal width is 4a which is equal to 12 units.

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## Simplify completely quantity 4 x squared minus 7 x plus 3 all over x squared plus 5 x minus 6

Simplify completely quantity 4 x squared minus 7 x plus 3 all over x squared plus 5 x minus 6

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## The daily profit p in dollars of a company making tables is described by the function upper p left parenthesis x right parenthesis equals negative 5 x squared plus 240 x minus 2475 p(x)=?5 x 2+240x?2475?, where x is the number of tables that are manufactured in 1 day. the maximum profit of the company occurs at the vertex of the parabola. how many tables should be made per day in order to obtain the maximum profit for the? company

The following equation of parabola is given:

p(x)= – 5 x^2 + 240 x – 2475

where p(x) = y

This is a standard form of the parabola. We need to
convert this into vertex form of equation. The equation must be in the form:

y – k = a (x – h)^2

Where h and k are the vertex of the parabola. Therefore,

y = – 5 x^2 + 240 x – 2475

y = -5 (x^2 – 48 x + 495)

Completing the square:

y = -5 (x^2 – 48 x + 495 + _) – (-5)* _

Where the value in the blank _ is = -b/2

Since b = -48        therefore,

y = -5 (x^2 – 48 x + 495 + 81) + 405

y – 405 = -5 (x^2 – 48 x + 576)

y – 405 = -5 (x – 24)^2

Therefore the vertex is at points (24, 405).

The company should make 24 tables per day to attain maximum
profit.

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## If x squared = 7, then x must be what?

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## If you start with a number divide it by 4 then multiply it by two you end up with 8 squared

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## Simplify 4 to the 7th over 5 squared all raised to the 3rd power.

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## The rectangle below has an area of X squared -144 m² and a length of X +12 m what expression represents the width of the triangle

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## Simplify completely quantity 2 x squared plus 13 x plus 20 all over x squared minus 5 x minus 36. 2 open parentheses 13 x plus 5 close parentheses over 5 x minus 9 2 open parentheses x plus 10 close parentheses over x minus 9 quantity 2 x plus 5 over x minus 9 quantity 13 x plus 5 over 5 x minus 9

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## Simplify completely 25 w to the sixth power over 10 w to the third power divided by 30 w squared over 5 w. 1 over 15 w to the fourth power 5 w squared over 12 12 over 5 w squared 15w4

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## Simplify completely quantity 12 x plus 36 over quantity x squared minus 4 x minus 21 and find the restrictions on the variable. 12 over quantity x minus 7, x ≠ 7 12 over quantity x minus 7, x ≠ 7, x ≠ −3 quantity x plus 3 over quantity x minus 7, x ≠ 7 quantity x plus 3 over quantity x minus 7, x ≠ 7, x ≠ −3

Simplify completely quantity 12 x plus 36 over quantity x squared minus 4 x minus 21 and find the restrictions on the variable. 12 over quantity x minus 7, x ≠ 7 12 over quantity x minus 7, x ≠ 7, x ≠ −3 quantity x plus 3 over quantity x minus 7, x ≠ 7 quantity x plus 3 over quantity x minus 7, x ≠ 7, x ≠ −3

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## Im not sure how to solve and equation like this could somone explain the steps to solving it for me? 2×5squared-2×36 squared+3×45 squared.

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## Identify the horizontal asymptote of f(x) = quantity 2 x minus 1 over quantity x squared minus 7 x plus 3. y = 0 y = 1 over 2 y = 2 no horizontal asymptote

Identify the horizontal asymptote of f(x) = quantity 2 x minus 1 over quantity x squared minus 7 x plus 3. y = 0 y = 1 over 2 y = 2 no horizontal asymptote

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## What is the graph of the function f(x) = the quantity of x squared plus 5x plus 6, all over x plus 3?

What is the graph of the function f(x) = the quantity of x squared plus 5x plus 6, all over x plus 3?

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## Is 35 squared rational or irrational and why ?

Is 35 squared rational or irrational and why ?

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## If x = 4 calculate the value of x squared 2x

If x = 4 calculate the value of x squared 2x

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## Factorise (x squared – y squared)Q)16

Factorise (x squared – y squared)Q)16

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## Need to know the hypotenuse. The equation is 13 squared plus 14 squared equals c squared.

we have the equation y = 1.09x, that describes the number of yards y in x meters.

a) Yes, if you have negative numbers of x (this means negative meters, this is used usually to denothe something that is behind the observer) then the equation transform them into negative yards.

b) in this case you want to know how many meters are in 40yd, then we replace y by 40yd in the equation:

40 = 1.09x

x = 40/1.09 = 36.7 meters

so in a 40yd race, there are 36.7 meters.

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## The area of a rectangle is 500 in squared. The ratio of the length to the width is 5 : 4. Find the length and the width

The area of a rectangle is 500 in squared. The ratio of the length to the width is 5 : 4. Find the length and the width

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## The product of two squared and two to the sixth power

10^68

Technically in your initial problem “squaring” is the wrong term. Squaring is when you take a number such as 10 and bring it to the 2nd power.

That would be 10^2 which is 10*10 which is 100.

As for the correct term. You could say the phrase, “10 brought to the power of 68.”

10^68

1. 10 * 10 = 100
2. 100 * 10 = 1,000
3. 1000 * 10 = 10,000
4. 10,000 * 10 = 100,000
5. 100,000 * 10 = 1,000,000
6. 1,000,000 * 10 = 10,000,000
7. 10,000,000 * 10 = 100,000,000
8. 100,000,000 * 10 = 1,000,000,000
9. 1,000,000,000 * 10 = 10,000,000,000
10. 10,000,000,000 * 10 = 100,000,000,000

And it keeps going higher and higher gaining a 0 each time.
So what we can do to speed up the process is:

Our original number:
10 can be written as:

1.0×10

When you add a zero each time the power of 10 will go up by 1. Currently it is at a power of 1. So if you wanted to get to 68 you’d need this:
1.0×10^68

Which would be this:
100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

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## Use the net to compute the surface area of the three-dimensional figure. A) 210 units B) 225 units C) 240 units D) 280 units Btw all squared

The piece-wise function for the cost per unit for production of units in the Wichita factory is:

C(x)=   1    when   0≤x≤25000

and  0.8  when    25000<x≤35000

## Step-by-step explanation:

The graph of C(x) is a straight horizontal line taking the constant value 1 in the interval [0,25000]

and a straight horizontal line taking the constant value 0.8 in the interval (25000,35000]

Hence, the piece-wise function C(x) is defined by:

C(x)=   1    when   0≤x≤25000

and  0.8  when    25000<x≤35000