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Oksana_A [137]
2 years ago
8

Which expression shows the distance on the number line between −7 and 16?

Mathematics
1 answer:
Gre4nikov [31]2 years ago
4 0
The expression will be d
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The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm.
Nat2105 [25]

Answer:

A) Maximum error = 170.32 cm³

B)Relative error = 0.0575

Step-by-step explanation:

A) Formula for circumference is: C = 2πr

Differentiating with respect to r, we have;

dC/dr = 2π

r is small, so we can write;

ΔC/Δr = 2π

So, Δr = ΔC/2π

We are told that ΔC = 0.5.

Thus; Δr = 0.5/2π = 0.25/π

Now, formula for Volume of a sphere is;

V(r) = (4/3)πr³

Differentiating with respect to r, we have;

dV/dr = 4πr²

Again, r is small, so we can write;

ΔS/Δr = 4πr²

ΔV = 4πr² × Δr

Rewriting, we have;

ΔV = ((2πr)²/π) × Δr

Since C = 2πr, we now have;

ΔV = (C²/π)Δr

ΔV will be maximum when Δr is maximum

Thus, ΔV = (C²/π) × 0.25/π

C = 82 cm

Thus;

ΔV = (82²/π) × 0.25/π

ΔV = 170.32 cm³

B) Formula for relative error = ΔV/V

Relative error = 170.32/((4/3)πr³)

Relative error = 170.32/((4/3)C³/8π³)

Relative errror = 170.32/((4/3)82³/8π³)

Relative error = 170.32/2963.744

Relative error = 0.0575

3 0
3 years ago
In a certain animal species, the probability that a female will have 0, 1, 2, 3, or 4 offspring in a given year is 0.31, 0.21, 0
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Step-by-step explanation:

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the variable M varies directly as the cube root of n. when n equals 27 m equals to 216. which equation can be used to find other
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Answer:

A

Step-by-step explanation:

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Please Help I will do Brainliest for first and correct answer
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Answer:

5

Step-by-step explanation:

41 - 32 = 9

5/9 x 9 = 5

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