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2 years ago

This solid shape is made from 5 cubes.

Mathematics

1 answer:

expeople1 [14]2 years ago

3 0

Answer:

what is the question?

Step-by-step explanation:

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The area A of a sector of a circle is given by A=πr²s/360, where r is the radius of the circle and s is the angle measure(in deg

Leokris [45]

$A= \frac{ \pi r^2s}{360} \\ \\ \pi r^2s=360A \\ \\ s= \frac{360A}{ \pi r^2}$

5 0

2 years ago

Read 2 more answers

What are some of the applications for exponential functions?

Pavel [41]

Answer:

Option B and D are correct

Step-by-step explanation:

Exponential functions are really useful in the real world situation. They can be used to solve following

a) Population Models

b) Determination of area and perimeters

c) Determine time related things such as half life, time of happening of an event etc.

d) Useful for solving financial problems such as computing investments etc.

Hence, option B and D

8 0

2 years ago

Test the series for convergence or divergence (using ratio test)

Triss [41]

Answer:

$\lim_{n \to \infty} U_n =0$

Given series is convergence by using Leibnitz's rule

Step-by-step explanation:

Step(i):-

Given series is an alternating series

∑ $(-1)^{n} \frac{n^{2} }{n^{3}+3 }$

Let $U_{n} = (-1)^{n} \frac{n^{2} }{n^{3}+3 }$

By using Leibnitz's rule

$U_{n} - U_{n-1} = \frac{n^{2} }{n^{3} +3} - \frac{(n-1)^{2} }{(n-1)^{3}+3 }$

$U_{n} - U_{n-1} = \frac{n^{2}(n-1)^{3} +3)-(n-1)^{2} (n^{3} +3) }{(n^{3} +3)(n-1)^{3} +3)}$

Uₙ-Uₙ₋₁ <0

Step(ii):-

$\lim_{n \to \infty} U_n = \lim_{n \to \infty}\frac{n^{2} }{n^{3}+3 }$

$= \lim_{n \to \infty}\frac{n^{2} }{n^{3}(1+\frac{3}{n^{3} } ) }$

= $= \lim_{n \to \infty}\frac{1 }{n(1+\frac{3}{n^{3} } ) }$

$=\frac{1}{infinite }$

$\lim_{n \to \infty} U_n =0$

∴ Given series is converges

3 0

2 years ago

G(x) = 1/3 * (2/9)^x. Does the function model growth or decay?

ElenaW [278]

The function models Exponential Decay due to the fact that as

x -> infinity, y-> 0

4 0

2 years ago

Answer two questions about Equations A and B: A. 5x = 20

marusya05 [52]

Answer: 20/5

Step-by-step explanation:

Divide 20/5

8 0

2 years ago