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3 years ago

Write a direct variation equation that shows the relationship between x and y.

1 answer:

4 0

$\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y = 15\\ x = 6 \end{cases}\implies 15=k(6)\implies \cfrac{15}{6}=k\implies \cfrac{5}{2}=k \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = \cfrac{5}{2}x~\hfill$

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Which relation is not a function?

kobusy [5.1K]

Answer:

Step-by-step explanation:

X cant be repeated twice or it will be a non function,

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3 years ago

Mr Frank purchased 5_1/4 pounds of rocks. He used 3/5 of a pound on one aquarium. He then split the rest of the rocks between hi

riadik2000 [5.3K]

Answer:

1_11/20 pounds, or 1.55 pounds.

Step-by-step explanation:

Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.

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3 years ago

Find the volume of the solid generated by revolving the region bounded by

Rama09 [41]

Answer:

$V =\dfrac{25\pi}{\sqrt{2}}$

Step-by-step explanation:

given,

y=5√sinx

Volume of the solid by revolving

$V = \int_a^b(\pi y^2)dx$

a and b are the limits of the integrals

now,

$V = \int_a^b(\pi (5\sqrt{sinx})^2)dx$

$V =25\pi \int_{\pi/4}^{\pi/2}sinxdx$

$\int sin x = - cos x$

$V =25\pi [-cos x]_{\pi/4}^{\pi/2}$

$V =25\pi [-cos (\pi/2)+cos(\pi/4)]$

$V =25\pi [0+\dfrac{1}{\sqrt{2}}]$

$V =\dfrac{25\pi}{\sqrt{2}}$

volume of the solid generated is equal to $V =\dfrac{25\pi}{\sqrt{2}}$

4 0

3 years ago

Write a word problem that would have the solution <br> p<21<br> Lineunder neath the

Dimas [21]

The line underneath the inequality line(arrow) means p is less than OR EQUAL to 21.
An example off the top of my head would be, Rachel just started a new job that pays 7 dollars per hour. She only worked 3 hours and decided she wanted to go to the mall to buy some clothes. How much money does Rachel have to spend?
And your answer is right there

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3 years ago

Can you divide an odd number into two equal groups

Maslowich

Answer:

No you can not it would come out as a decimal form.

Step-by-step explanation:

3 divided by 2 is 1.5 or 1 1/2

This is not divided evenly between each other

This proves that (no) anything that is a odd number can not be divided equally

Hope that helps

7 0

3 years ago