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2 years ago

You are considering purchasing either a medium or a large pizza.

Mathematics

1 answer:

Norma-Jean [14]2 years ago

6 0

Yes it’s larger then the medium pizza. I took the test

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For number 6, evaluate the definite integral.

maks197457 [2]

$\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{(8+2x)^2}}\cdot dx\impliedby \textit{now, let's do some substitution}\\\\
-------------------------------\\\\
u=8+2x\implies \cfrac{du}{dx}=2\implies \cfrac{du}{2}=dx\\\\
-------------------------------\\\\$

$\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{u^2}}\cdot \cfrac{du}{2}\implies \cfrac{1}{2}\int\limits_{0}^{28}\ u^{-\frac{2}{3}}\cdot du\impliedby 
\begin{array}{llll}
\textit{now let's change the bounds}\\
\textit{by using } u(x)
\end{array}\\\\
-------------------------------\\\\
u(0)=8+2(0)\implies u(0)=8
\\\\\\
u(28)=8+2(28)\implies u(28)=64$

$\bf \\\\
-------------------------------\\\\
\displaystyle \cfrac{1}{2}\int\limits_{8}^{64}\ u^{-\frac{2}{3}}\cdot du\implies \cfrac{1}{2}\cdot \cfrac{u^{\frac{1}{3}}}{\frac{1}{3}}\implies \left. \cfrac{3\sqrt[3]{u}}{2} \right]_8^{64}
\\\\\\
\left[ \cfrac{3\sqrt[3]{(2^2)^3}}{2} \right]-\left[ \cfrac{3\sqrt[3]{2^3}}{2} \right]\implies \cfrac{12}{2}-\cfrac{6}{2}\implies 6-3\implies 3$

3 0

3 years ago

Solve for g in the proportion.<br> 3/g = 24/16

Nata [24]

Answer:

This is your answer ☺️☺️☺️

5 0

3 years ago

Read 2 more answers

Which equation are true for x=-2 and x=2 check all that apply

ki77a [65]

1 it is true
${x}^{2} - 4 = 0 \\ {x}^{2} = + 4 \\ x = \sqrt{4} = 2$
2 it's not true
${x}^{2} = - 4$
3 it's not true
$3 {x}^{2} + 12 = 0 \\ 3 {x}^{2} = - 12 \\ {x}^{2} = \frac{ - 12}{3} = - 4 \\$
4 it's true
$4 {x}^{2} = 16 \\ {x}^{2} = \frac{16}{4} = 4 \\ x = \sqrt{4} = 2$
5- it's true
${2(x - 2)}^{2} = 0 \\ {(x - 2)}^{2} = 0 \\ x - 2 = 0 \\ x = 2$

4 0

3 years ago

Read 2 more answers

Which equations have no solution? Check all that apply.

charle [14.2K]

Remember, |n|≥0 for all real numbers n

so

-|x|=0
times -1
|x|=0
true, x=0, has a solution

|x|=-15
false, can't have negative absolute value

-|x|=12
|x|=-12
false, no negative absolute value

-|-x|=9
|-x|=-9
false, no negative absolute value

-|-x|=-2
|-x|=2
x=2 or -2
true, has solutions

the ones that have no solutions are
|x|=-15
-|x|=12
-|-x|=9

5 0

3 years ago

Read 2 more answers

What is the average rate of change for ƒ(x) = −3^x+ 79 over the interval 2 ≤ x ≤ 4?

Alinara [238K]

Answer:

The average is 124

Step-by-step explanation:

When x=2 substitute into the equation given above

-3^2+79

9+79=88...(1)

When x=4

-3^4+79

81+79=160(2)

Average of (1) and (2)

160+88/2

=248/2

=124

Therefore the average rate is 124

5 0

3 years ago