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2 years ago

The function p(x) = x(x - 5)(x - 2)(x + 3) has four zeros.

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

7 0

Answer:

x=0,5,2,-3

Step-by-step explanation:

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The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 100 mm?

Advocard [28]

Answer:

Volume increasing rate = $62831.85 mm^3/s$

Explanation:

We rate of change of radius of sphere, $\frac{dr}{dt} =2mm/s$

Diameter of sphere = 100 mm

Radius of sphere = 50 mm

Volume of sphere, V = $\frac{4}{3} \pi r^3$

Rate of change of volume = $\frac{dV}{dt}$

$\frac{dV}{dt}=\frac{d}{dt} (\frac{4}{3} \pi r^3)=\frac{4}{3} \pi\frac{d}{dt}(r^3)=\frac{4}{3} \pi*3r^2*\frac{dr}{dt}$

Substituting known values

$\frac{dV}{dt}= \frac{4}{3}* \pi*3*50^2*2=62831.85 mm^3/s$

Volume increasing rate = $62831.85 mm^3/s$

8 0

2 years ago

A painter charges $15.53 per hour, plus an additional amount for the supplies. If he made $157.80 on a job where he worked 5 hou

Bingel [31]

Answer:

$80.15

Step-by-step explanation:

We can make an equation to solve this problem, that helps a lot. If h represented hours, we could make the equation 15.53h+s=157.8

Now we know that he worked 5 hours, so we can multiply 15.53 by 5 to simplify the equation.

15.53*5=77.65

So now the equation is 77.65+s=157.8.

Now, we can subtract 77.65 from both sides.

So now, our final equation is s=80.15

It cost $80.15 to buy supplies.

Hope this helps!

6 0

2 years ago

What is 3 to the 100th power?

Gnesinka [82]

5.1537752e+47 is the anwser

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2 years ago

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Cindy works two jobs to make ends meet. Both jobs pay her an hourly wage. At the first job, Cindy earns $6.50 per hour. At the s

notsponge [240]

The answer is B

6.5x + 1025y= 372
x= 2y

3 0

2 years ago

Refer to the rectangular prism

slavikrds [6]

Answer:

Properties of a Rectangular Prism : A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal.

Step-by-step explanation:

4 0

1 year ago

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