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2 years ago

Question 2: What is the volume of this prism?

Mathematics

1 answer:

laiz [17]2 years ago

6 0

Answer:

42 cubic units

Step-by-step explanation:

2x3x7

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Determine whether the series is convergent or divergent by expressing sn as a telescoping sum (as in Example 8). [infinity] 6 n2

vekshin1

Answer:

Step-by-step explanation:

given

$\sum\limits^\infty_{n=3}\frac{6}{n^2-1}=\sum\limits^\infty_{n=3}\frac{6}{(n-1)(n+1)}\\\\=\sum\limits^\infty_{n=3}\frac{6}{2}(\frac{1}{n-1}-\frac{1}{n+1})\\\\=\frac{6}{2}\sum\limits^\infty_{n=3}(\frac{1}{n-1}-\frac{1}{n+1})\\\\=3[(\frac{1}{2}-\frac{1}{4})+(\frac{1}{3}-\frac{1}{5})+(\frac{1}{4}-\frac{1}{6})+(\frac{1}{5}-\frac{1}{7})+...]\\\\=3[\frac{1}{2}+\frac{1}{3}]=3[\frac{3+2}{6}]=3[\frac{5}{6}]\\\\=\frac{15}{6}=\frac{5}{3}$

5 0

3 years ago

What is the answer to this problem -2x – 4 < 3x + 21

horsena [70]

Start with

$-2x-4 < 3x+21$

Add 2x to both sides:

$-4 < 5x+21$

Subtract 21 from both sides:

$-25 < 5x$

Divide both sides by 5. Since it is positive, we don't have to change the inequality sign:

$-5 < x$

So, the answer is $x > -5$

6 0

2 years ago

A spheres radius is multiplied by 2. How is it’s surface area affected

dexar [7]

Answer:

The surface area is multiplied by 3.

Step-by-step explanation:

If r is the radius of a sphere its surface area = 4(pi)r^2. If the radius is doubled then its surface area = 4(pi)(2r)^2 = 4*4(pi)r^2. So the surface area becomes 4-fold or the increase in surface area is 300%.

3 0

3 years ago

Express the following in standard form (0.000000045)^4

snow_tiger [21]

0.00000004 to the power of 4

Your answer would be <u>0</u>

5 0

2 years ago

Read 2 more answers

The diagram show the approximate length and width of Nevada. Estimate the area of the state

tester [92]

Area of a triangle is 0.5(base x height)

Base = 320mi

Height= 270+210= 480mi

0.5(480 x 320) = 76,800 miles squared

3 0

3 years ago