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3 years ago

If y = 5x, then y is directly proportional to ______ Help me please my teacher rlly annoying

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

7 0

y = 5x, so 5 is the constant of proportionality

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Please answer the following questions with the proper significant figures:

mamaluj [8]

Answer:

idont know what's the answer but goodluck bro loveyou

5 0

3 years ago

A high school debate team of 4 is to be chosen from a class of 35. how many possible ways can the team be formed?

Burka [1]

Imagine there are 4 sits for fill for the debate team
we can fill the first sit in 35 different ways, second sit we only have 34 choices , third sit 33 and last sit 32 ways to possible fill it.
35·34·33·32=1,256,640 possible ways the team could be form

4 0

3 years ago

What is .181818... as a fraction?

LekaFEV [45]

181818/1000000. let me know if im wrong! <3

4 0

2 years ago

<img src="https://tex.z-dn.net/?f=5%28sin%28t%29%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%2Bycos%28t%29%29%29%3Dcos%28t%29%20%20%28sin%28

Nataliya [291]

Assuming you mean

$5\sin t\dfrac{\mathrm dy}{\mathrm dt}+5y\cos t=\cos t\sin^2t$

This ODE is linear in $y$ , and you can already contract the left hand side as the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[5y\sin t\right]=\cos t\sin^2t$

Integrating both sides with respect to $t$ yields

$5y\sin t=\displaystyle\int\cos t\sin^2t\,\mathrm dt$
$5y\sin t=\dfrac13\sin^3t+C$
$y=\dfrac1{15}\sin^2t+C\csc t$

Given that $y\left(\dfrac\pi2\right)=9$ , we have

$9=\dfrac1{15}\sin^2\dfrac\pi2+C\csc\dfrac\pi2$
$9=\dfrac1{15}+C$
$C=\dfrac{134}{15}$

so that the particular solution over the interval is

$y=\dfrac1{15}\sin^2t+\dfrac{134}{15}\csc t$

6 0

3 years ago

What is the volume of a cone with a diameter of 30 feet and a height of 60 feet? Use 3.14 for π.

AysviL [449]

Answer:

14130 ft^3

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is

V = (1/3)*pi*r^2*h.

Here, V = (1/3)(3.14)(15 ft)^2*(60 ft) = 20*3.14*225 ft^3 = 14130 ft^3

3 0

3 years ago