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2 years ago

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Which of the following is a step in simplifying the expression x multiplied by y to the power of 3 over x to the power of negati

ve 4 multiplied by y to the power of 4, the whole to the power of negative 2.?

1 answer:

stich3 [128]2 years ago

5 0

Answer:

-3

Step-by-step explanation:

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The volume (in cubic inches) of a shipping box is modeled by V =2x³ -19x² +39x, where x is the length (in inches). Determine the

yawa3891 [41]

Answer:

The values of x for which the model is 0 ≤ x ≤ 3

Step-by-step explanation:

The given function for the volume of the shipping box is given as follows;

V = 2·x³ - 19·x² + 39·x

The function will make sense when V ≥ 0, which is given as follows

When V = 0, x = 0

Which gives;

0 = 2·x³ - 19·x² + 39·x

0 = 2·x² - 19·x + 39

0 = x² - 9.5·x + 19.5

From an hint obtained by plotting the function, we have;

0 = (x - 3)·(x - 6.5)

We check for the local maximum as follows;

dV/dx = d(2·x³ - 19·x² + 39·x)/dx = 0

6·x² - 38·x + 39 = 0

x² - 19/3·x + 6.5 = 0

x = (19/3 ±√((19/3)² - 4 × 1 × 6.5))/2

∴ x = 1.288, or 5.045

At x = 1.288, we have;

V = 2·1.288³ - 19·1.288² + 39·1.288 ≈ 22.99

V ≈ 22.99 in.³

When x = 5.045, we have;

V = 2·5.045³ - 19·5.045² + 39·5.045≈ -30.023

Therefore;

V > 0 for 0 < x < 3 and V < 0 for 3 < x < 6.5

The values of x for which the model makes sense and V ≥ 0 is 0 ≤ x ≤ 3.

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3 years ago

What in the world is eighty plus forty

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Answer:

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Step-by-step explanation:

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2 years ago

The difference between $500.02 - $79.3 add explanation if possible

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Step-by-step explanation:

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2 years ago

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How long is the base of a parallelogram if it has an area of 100 m2 and a height of 5 m?

DochEvi [55]

$\displaystyle\\
\bold{A= b \times h} \\ \\ 
\bold {\Longrightarrow~~~ b = \frac{A}{h} = \frac{100}{5} =}~ \boxed{\bold{20~m }}$

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2 years ago

If sector area of the shaded circle garden is 8π, and radius of the circle garden is 8 inch. Below figure represent the given sc

otez555 [7]

Answer:

The measurement of the central angle AOB is 45 degrees

Step-by-step explanation:

To solve this problem, we will have to work with fractions.

We will get the fraction of area the shaded portion is when compared to the whole garden.

First of all, we will need to calculate the area of the garden which is $\pi r^{2}$

in this case, our radius is 8 inches.

Next, we will compare the area of the sector to the area of the garden. This will be

This will be the shaded area/ area of the whole garden

= $\frac{8\pi}{\pi8^{2}}$

$=\frac{1}{8}$

We will now convert this ratio to an angle by multiplying it by 360 degrees.

This will be:

$\frac{1}{8}\times 360 = 45 degrees$

The measurement of the central angle AOB is 45 degrees

3 0

2 years ago