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Anuta_ua [19.1K]

3 years ago

12

on the road in a certain city, the maximum speed is 60nmiles per hour and the minimum speed is 20 miles per hour. if x represent

s speed, which sentence best expresses this condition?

1 answer:

USPshnik [31]3 years ago

4 0

20 greater than or equal to X less than or equal to 60
20 _

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Step 3: the student missed +4 in the equation while adding both equation

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2 years ago

Suppose that y varies inversely as x and that y=8 when x=3. Calculate the value of y when x= 10.

Svetach [21]

$\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y = 8\\ x = 3 \end{cases}\implies 8=\cfrac{k}{3}\implies 24=k~\hfill \boxed{y = \cfrac{24}{x}} \\\\\\ \textit{when x = 10, what is \underline{y}?}\qquad \qquad y = \cfrac{24}{10}\implies y = \cfrac{12}{5}$

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The area of a parallelogram is found using the formula bh, where b represents the length of the base and h represents the length

anzhelika [568]

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2 years ago

Read 2 more answers

Find the average value of the function f(t)=cos13(5t)sin(5t) f(t)=cos13⁡(5t)sin⁡(5t) on the interval [4,10].

Vilka [71]

The average value is given by

$\displaystyle\frac1{10-4}\int_4^{10}\cos^{13}5t\sin5t\,\mathrm dt$

Setting $y=\cos5t$ , you get $\mathrm dy=-5\sin5t\,\mathrm dt$ , and the integral becomes

$\displaystyle-\frac1{30}\int_{\cos20}^{\cos50}y^{13}\,\mathrm dy$
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$=-\dfrac{\cos^{14}50-\cos^{14}20}{420}\approx-0.00145$

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3 years ago

If r = 8 units and h = 10 units, what is the volume of the cylinder shown above? use 3.14 for pi,

Basile [38]

I hope this helps you

Volume =pi.r^2.h

Volume =3,14.8^2.10

Volume =31,4.64

Volume =200,96

8 0

2 years ago