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3 years ago

9

A runner can complete 8 laps in 10 minutes. How long will it take her to run 6 laps? 4.8 minutes 7.5 minutes 13.3 minutes Od non

e of these

1 answer:

VashaNatasha [74]3 years ago

7 0

Answer:

7.5

Step-by-step explanation:

:)

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-4(a-12) help me because I am really confused

White raven [17]

Answer:

-4a+48

Step-by-step explanation:

Using the distributive property, you would multiply -4 with the values inside the brackets, which are a and -12.

-4*a + (-4*(-12))

= -4a+(48)

= -4a+48

Hope this helps!

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4 years ago

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juin [17]

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Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.

Nadusha1986 [10]

Answer: $9.6\pi$

Step-by-step explanation:

Given

Curve is $y=3-3x^2$

boundary is y=0 i.e.

$\Rightarrow 0=3-3x^2\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1$

The volume of solid generated when rotated about the x-axis is

$\Rightarrow V=\int_a^b\pi y^2dx$

Putting values we get

$\Rightarrow V=\int_{-1}^{1}\pi (3-3x^2)^2dx\\\\\Rightarrow V=\int_{-1}^{1}\pi(9+9x^4-18x^2)dx\\\\\Rightarrow V=\pi \left [ \frac{9x^5}{5} - 6 x^3 + 9 x\right ]_{-1}^{1}\\\\\Rightarrow V=9.6\pi$

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3 years ago