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3 years ago

1. Diego earns $10 per hour babysitting. Assume that he has no money saved

Mathematics

1 answer:

dybincka [34]3 years ago

6 0

The equation is 10x=y I’m not sure how we’re supposed to show a graph over this app

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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

What is the opposite integer of 10

NeX [460]

Since 10 is a positive the opposite must be negative. Opposite integer of 10 is -10 ( negative 10).

Happy studying ^-^

4 0

3 years ago

Read 2 more answers

How do you do 5+5?

steposvetlana [31]

Answer:

If you had 5 apples and Johnny gave you five more how much do you have? Lets count

10 OMG 5+5 is 10

6 0

3 years ago

From a group of six people, two individuals are to be selected at random. how many possible selections are there

Murrr4er [49]

You can do C(6,2) which gives $6*5/2$ which is 15!

6 0

4 years ago

A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At

loris [4]

Answer:

Step-by-step explanation:

Hi there,

If the boy wants 80 small action figures

that is equivalent to 40 x 7 (as 7 tickets

gives him 2 small action figures)

= 280 tickets.

The 380 tickets he has originally minus the

280 leaves 100 tickets to get 20 large action figures

(100/5)

He will have 80 small and 20 large action figures

80:20 = 4:1

Hope this helps:-)

6 0

3 years ago