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3 years ago

14

It takes 1/3 pint of paint to cover a birdhouse. There are 12 1/3 pints of paint in a can. Write and evaluate a division express

ion to find the number of birdhouses
that can be painted whats the answer?

2 answers:

aivan3 [116]3 years ago

8 0

The answer is 41 good luck

labwork [276]3 years ago

3 0

Answer: 41

<em>Good Luck!</em>

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First integrate the entire thing by letting multiplying by 1/2 the entire expression raised to exponent 1/2 - 1. That is,
0.5(1 + x³)^-0.5
Then, multiplying this by the derivative of those inside the parentheses. The final answer would be,
(0.5)((1 + x³)^-0.5)(3x²)

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The US spends on average 10,200 dollars on each student per year. There are about 77,000,000 students in the United States. How

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3 years ago

Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

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3 years ago

Read 2 more answers

A=4ℼR2 solve for R<br> SHOW ALL STEPSSSSSSSSSSSSS

GuDViN [60]

Given problem;

A = 4 π R²

To solve for R, we have to make it the subject of the expression.

Since

A = 4 π R² , follow these steps to find R;

Multiply both sides by $\frac{1}{4\pi }$

A x $\frac{1}{4\pi }$ = $\frac{1}{4\pi }$ x 4 π R²

$\frac{A}{4\pi }$ = R²

Then find the square root of both sides

√R² = $\sqrt{\frac{A}{4\pi } }$

R = $\sqrt{\frac{A}{4\pi } }$

The solution is $\sqrt{\frac{A}{4\pi } }$

3 0

3 years ago