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Strike441 [17]
3 years ago
13

The width of a virus is 2.0 x 10 to the(-7)th meter. Write this number in standard decimal notation

Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

2×10^(-7)=0.0000002m

You have 6 zeros in front of 2.

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Please help! The radius of a sphere is claimed to be 3.0 inches, correct to within 0.01 inch. Use linear approximation to estima
Vilka [71]

Answer:

0,36π inches³ or simply 1.13 inches³

Step-by-step explanation:

In this case, first, we need to calculate the volume of the sphere with the formula:

V = 4πr³/3

Replacing the data we have:

V = 4π(3)³/3

V = 36 in³

Now that we have the volume we need to calculate the resulting error. In this case, using linear approximation we have to use the derivates of V and r, so we have the following:

If V = 4πr³/3

Then the derivate of V (dV) would be:

dV = 4π*3*r²/3 dr

Where dr is the error of radius so:

dV = 4π*r² dr

Solving for dV:

dV = 4*3.14*(3)²*(0.01)

dV = 1.13 in³

So at the end, we just report the volume of the sphere as

V = 36 ± 1 in³

dV =

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3 years ago
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AfilCa [17]
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natali 33 [55]

Answer:

Step-by-step explanation:

Use the identity sin(a+b)=sin a cosb+sinbcosa where a=x and b=\pi.

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