The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism?a base area of 4y square units and height of 4y2 + 4y + 12 units
a base area of 8y2 square units and height of y2 + 2y + 4 units
a base area of 12y square units and height of 4y2 + 4y + 36 units
a base area of 16y2 square units and height of y2 + y + 3 units

Answers

Answer 1

Answer: We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.
Its volume is equal to the area of its base times its height.
Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.
Let's test each of these answers to see which gives us the correct volume.
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a base area of 4y square units and height of 4y² + 4y + 12 units
We find the volume by multiplying the base area by the height...
4y(4y² + 4y + 12)
Distribute the 4y to each term inside the parentheses.
16y³ + 16y² + 48y
This is not the right volume, so these can not be dimensions of our prism.
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a base area of 8y² square units and height of y² + 2y + 4 units
We find the volume by multiplying the base area by the height...
8y²(y² + 2y + 4)
Distribute the 8y² to each term inside the parentheses.
8y⁴ + 16y³ + 32y²
This is not the right volume, so these can not be dimensions of our prism.
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a base area of 12y square units and height of 4y² + 4y + 36 units
We find the volume by multiplying the base area by the height...
12y(4y² + 4y + 36)
Distribute the 12y to each term inside the parentheses.
48y³ + 48y² + 432y
This is not the right volume, so these can not be dimensions of our prism.
--------------------------------------------------------------------------------------------------
a base area of 16y² square units and height of y² + y + 3 units
We find the volume by multiplying the base area by the height...
16y²(y² + y + 3)
Distribute the 16y² to each term inside the parentheses.
16y⁴ + 16y³ + 48y²
The volume fits, so these could be the base area and height of our prism.
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D. a base area of 16y² square units and height of y² + y + 3 units
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Answer 2

Answer:

Answer:

Option 4) a base area of $16y^2$ square units and height of $y^2 + y + 3$ units

Step-by-step explanation:

We are given the following in the question:

Volume of prism = Bh

where B is the area of the base and h is heigth of the prism

Volume of prism =

$16y^4 + 16y^3 + 48y^2 \text{ cubic units}$

We have to find the base area and the height of the prism from the given options.

Base area = $4y$

Height = $4y^2 + 4y + 12$

Volume = $4y(4y^2 + 4y + 12) = 16y^3 + 16y^2 +48y$

which is not equal to the given volume

Base area = $8y^2$

Height = $y^2 + 2y + 4$

Volume = $8y^2(y^2 + 2y + 4) = 8y^4 + 16y^3 +32y^2$

which is not equal to the given volume

Base area = $12y$

Height = $4y^2 + 4y + 36$

Volume = $12y(4y^2 + 4y + 36) = 48y^3 + 48y^2 +432y$

which is not equal to the given volume

Base area = $16y^2$

Height = $y^2 + y + 3$

Volume = $16y^2(y^2 + y + 3) = 16y^4 + 16y^3 +48y^2$

which is equal to the given volume

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Answers

The square root of 130 is irrational since it exhibits a perfect square. Furthermore, the number is under a radical sign. For instance, on a number line the square root of 130 shall be placed between the digits 11 and 12. 11 11.40175425099138 12. Which the two closest perfect square are. Irrational numbers doesn’t have a fractional form or can be transfused to a decimal form and vice-versa.

Kyle received his paycheck in the mail today. However, he thinks there is a mistake in the amount he was paid. The total amount before taxes were taken out was $492.36. If the taxes totaled to $73.85, what should be the amount on his paycheck?Help please. I tried doing this myself but when I take 73.85 from 492.36 I get 421.51, can you please help me figure out where I'm going wrong?

Answers

The amount on Kyle paycheck after tax is $418.51.

Given that, the total amount before taxes were taken out was $492.36.

What is tax?

In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.

Here, total amount = $492.36 and tax=$73.85

The amount on Kyle paycheck = 492.36-73.85

= $418.51

Therefore, the amount on Kyle paycheck after tax is $418.51.

To learn more about the tax visit:

brainly.com/question/16423331.

#SPJ2

So you subtract 73.85 from 492.36.
Just check it on a calculator, 492.36 - 73.85 = 418.51

Please help I’m failing!!!!!

Answers

The squared root of 27 is greater than 31/7

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Answers

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The answer is 0.22, because you always look at the tenths place when you're trying to find the greater number in decimal. If the number in tenths place is greater then that's your answer.

What is square root of 28 approximated to the nearest tenth?

Answers

√28 use your calculator

≈ 5.2915

The tenth digit is 2, and the digit after the 2 is 9. 9 is more than 5, so we round up the 2 to 3.

≈ 5.3 to the nearest tenth.

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