3 years ago

2 doctors is ______% of 25 doctors

Mathematics

1 answer:

nirvana33 [79]3 years ago

8 0

Answer:

12.5%

Step-by-step explanation:

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If [infinity] cn8n n = 0 is convergent, can we conclude that each of the following series is convergent? (a) [infinity] cn(−3)n

pashok25 [27]

Answer:

a) we know that this is convergent.

b) we know that this might not converge.

Step-by-step explanation:

Given the $\sum^\infty_{n=0}C_n8^n$ is convergent

Therefore,

(a) $\sum^\infty_{n=0}C_n(-3)^n$ The power series $\sum C_nx^n$ has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3

∴ $\sum^\infty_{n=0}C_n(-3)^n$ is convergent.

(b) $\sum^\infty_{n=0}C_n(-8)^n$ -8 could be right on the edge of the interval of convergence, and so might not converge

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3 years ago

How to find the volume of a quarter-sphere?

Ganezh [65]

As the word suggests, a quarter-sphere is a quarter of a sphere, and thus the volume of a quarter-sphere is a quarter of the volume of the sphere.

The volume of a sphere is computed as

$\dfrac{4}{3} \pi r^3$

So, the volume of a quarter-sphere is

$\dfrac{1}{4}\cdot \dfrac{4}{3} \pi r^3 = \dfrac{1}{3} \pi r^3$

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3 years ago

Phil has to put the greatest number of apples and oranges in each of box so each box have the same number of apples and oranges

Andrews [41]

Least common multiple

4 0

3 years ago

Twice the difference of a number and 3 is 5.

Xelga [282]

Answer:

2(3-n)=5

Step-by-step explanation:

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3 years ago

A rectangle has a diagonal of 277 centimeters and a length of 252cm. How long is the width?

Crank

Answer:

width = 115 cm

Step-by-step explanation:

width² = 277² - 252²

width² = 76729 - 63504 = 13225

width = 115 cm

7 0

3 years ago

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