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2 years ago

(06.03 MC)

Mathematics

1 answer:

Burka [1]2 years ago

8 0

Answer:

The answer is b, which is 3+x+3

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Miguel is designing shipping boxes that are rectangular prisms. The shape of one box, with height h in feet, has a volume define

ycow [4]

Answer:

96 ft³

Step-by-step explanation:

A graphing calculator conveniently graphs this function. It shows the maximum volume is about 96 ft³.

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2 years ago

A company charting its profits notices that the relationship between the number of units sold, x, and the profit, P, is linear.

scoundrel [369]

Answer:

P(x) = 58x - 8,500

Step-by-step explanation:

The profit function can be modeled based on the two given points of format (P, x) that are ($1360, 170) and ($4260, 220). The slope of the function is:

$m=\frac{4,260-1,360}{220-170}\\ m=58$

Applying the general form of a linear equation, the profit function is:

$P-P_0 = m*(x-x_0)\\P - 1,360=58*(x-170)\\P(x) = 58x -8,500$

The profit as a function of units sold is P(x) = 58x - 8,500.

3 0

4 years ago

Ronald rode his bicycle 3 kilometers south and 4 kilometers east. How far from his starting point is he?

WARRIOR [948]

<u><em> He is 7 Kilometers southeast far from his point</em></u>

3 0

3 years ago

Read 2 more answers

Use the coordinates to find the length of each side of the rectangle. Then find the perimeter. Q(0,0),R(4,0), S(4,4), T(0,4)

Novay_Z [31]

The length of each side of the square actually is 4 units. The area is 16 units squared and the perimeter is is ALSO 16.

4 0

3 years ago

A spherical ball with a volume of 2,304π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is

Nutka1998 [239]

Answer:

Therefore the volume of the box is 13824 in³

Step-by-step explanation:

Given:

A spherical ball with is packaged in a box that is in the shape of a cube.

Volume of ball = 2304π in³.

Let 'r' be the radius of sphere

To Find:

Volume of Cube = ?

Solution:

Volume of sphere is given by

$\textrm{Volume of sphere}=\dfrac{4}{3}\pi r^{3}$

Substituting the values we get

$2304\pi=\dfrac{4}{3}\pi r^{3}\\\\\therefore r^{3}=1728\\\\Cube\ Rooting\\\\r=12\ in$

Now we know that diameter is given by

$diameter=2\times r=2\times 12=24\ in$

it is given that,

The edge length of the box is equal to the diameter of the ball.

Therefore the length of cube = 24 in

Now the volume of the cube is given by

$\textrm{Volume of cube}=(edge)^{3}$

substituting the values we get

$\textrm{Volume of cube}=(24)^{3}=13824\ in^{3}$

Therefore the volume of the box is 13824 in³

6 0

4 years ago