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2 years ago

Which graph represents 2x-5y<15?

Mathematics

1 answer:

VMariaS [17]2 years ago

4 0

There’s no pictures

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If cos theta = 1/4 and 0 degrees, find tan theta

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What? Sorry can’t understand

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The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu

rjkz [21]

The balloon has a volume $V$ dependent on its radius $r$ :

$V(r)=\dfrac43\pi r^3$

Differentiating with respect to time $t$ gives

$\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}$

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

$10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}$

The surface area of the balloon is

$S(r)=4\pi r^2$

and differentiating gives

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}$

so that at the moment the radius is 3 m, its area is increasing at a rate of

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}$

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2 years ago

Put the following fractions in order from greatest to least:

kifflom [539]

C,B,D,A

8/4= 2
4/3= 1 1/3
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7/10 cant be simplfied at all

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2 years ago

How to solve this problem

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Number 7 is 111 because they are alternate interior and 8 is 90

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Joe's new car travel 418 miles on 16 gallons of gas find the unit rate in miles per gallon show your work I will Mark brainiest

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To find the unit rate, divide total miles by number of gallons:

418 miles / 16 gallons = 26.125 miles per gallon
Round the answer as needed.

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2 years ago