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iVinArrow [24]
3 years ago
15

How do you answer this 6x+3=8x-21

Mathematics
2 answers:
Makovka662 [10]3 years ago
7 0
First you need to solve for "x": 6x+3=8x-21, 3=2x-21, 24=2x, x=12.
Then plug in number 12 to your equation: 6(12)+3=75;
Just to make sure that I solved correctly for x, plug in 12 into the second equation: 8(12)-21=75.
Yahoo, the x is 12 and angle measure is 75°.
lisov135 [29]3 years ago
7 0
You subtract 3 from both sides to make it 6x=8x-18. Then you subtract 8x from both to make it -2x=-18. Then divide by -2 on both sides and it comes out to x= 9.
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<h2>At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>

Step-by-step explanation:

We have equation for volume of a sphere

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Differentiating with respect to time,

            \frac{dV}{dt}=\frac{d}{dt}\left (\frac{4}{3}\pi r^3 \right )\\\\\frac{dV}{dt}=\frac{4}{3}\pi \times 3r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}

Given that

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Substituting

           \frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi \times 24^2\times 0.3\\\\\frac{dV}{dt}=2171.47cm^3/min

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.

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