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2 years ago

Select the correct product.

Mathematics

1 answer:

AURORKA [14]2 years ago

7 0

Answer:

Option A. $2x^{3}+7x^{2}+12x-8$

Step-by-step explanation:

we have

$(x^{2}+4x+8)(2x-1)$

Applying the distributive property

$(x^{2}+4x+8)(2x-1) =x^{2}(2x)-x^{2} +4x(2x)-4x+8(2x)-8\\ \\=2x^{3}-x^{2} +8x^{2}-4x+16x-8\\ \\= 2x^{3}+7x^{2}+12x-8$

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40 POINTS

Dmitry [639]

I think 7 mi is the answer

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2 years ago

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A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 6t, where t represents t

Neko [114]

Answer:

A) A[p(t)] = 36πt²

B) 7234.56 square units

Step-by-step explanation:

Given functions:

$\begin{cases}p(t)=6t \\ A(p)=\pi p^2 \end{cases}$

Part A

To find the area of the circle of spilled paint as a function of time, substitute the function p(t) into the given function A(p):

$\begin{aligned}A(p) & = \pi p^2\\\\ \implies A[p(t)] & = \pi [p(t)]^2\\& = \pi (6t)^2\\& = \pi 6^2 t^2\\& = 36\pi t^2\end{aligned}$

Part B

Given

t = 8 minutes
π = 3.14

Substitute the given values into the equation for A[p(t)} found in part A:

$\begin{aligned}A[p(8)] & = 36\pi t^2\\& = 36 \cdot 3.14 \cdot 8^2\\& = 36 \cdot 3.14 \cdot 64\\& = 113.04 \cdot 64\\& = 7234.56\:\: \sf square\:units\end{aligned}$

Therefore, the area of spilled paint after 8 minutes if 7234.56 square units.

4 0

1 year ago

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A librarian has 883 books to place on shelves. Each shelf holds 98 books.

egoroff_w [7]

Answer:

She will be able to fill 9 shelves with 1 book left over.

Let me know if you need more help! :)

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2 years ago

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A cereal company produces about 1,000 boxes of cereal every day. Each box is supposed to contain 15

amm1812

Answer:

it is likely that 80 of the total boxes produced that day had more than 15.5 ounces of cereal.

Step-by-step explanation:

the answer is basically c.

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3 years ago

PLEASE HELP ME BY SHOWING YOUR WORK TO THIS ANSWER!

ArbitrLikvidat [17]

Hey Dammy17,
Ok so what we need to do is "plug in" 2oz for x in the equation,

So, 0.6 (2) + 11 =
0.12 + 11= 11.12 oz is the finishing weight.

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2 years ago