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Slav-nsk [51]
2 years ago
8

The radius of a sphere is 6 units.

Mathematics
1 answer:
Rasek [7]2 years ago
5 0

Answer:

choice 2) 4/3πr³

Step-by-step explanation:

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What should be the value of x so that the three consecutive terms will be in GP 2x+2, 16 and 64x. Also find the sum of first 10
Alexxandr [17]

Answer:

<em>x = 1 and -2</em>

<em>Sum of the first ten terms = 1,398,100</em>

Step-by-step explanation:

Given the geometric progression 2x+2, 16, 64x...

Since they are in GP, their common ratio is expressed as;

16/2x+2 = 64x/16

16/2(x+1) = 4x

8/x+1 = 4x

Cross multiply

4x(x+1) = 8

4x²+4x = 8

4x²+4x - 8 = 0

divide through by 4

x²+x - 2 = 0

Factorize

x²+2x-x- 2 = 0

x(x+2)-1(x+2) = 0

(x-1)(x+2) = 0

x = 1 and -2

Hence the values of x are 1 and -2

Get the common ratio;

r = 16/2x+2

Since x = 1

r = 16/2(1)+2

r = 16/4

r = 4

Sum of the first n terms is expressed as;

Sn = a(rⁿ-1)/r-1

a = 2x+2

a = 2(1)+2

a = 4

Substitute;

S10 = 4(4^10 - 1)/4 - 1

S10 = 4(1,048,576-1)/3

S10 = 4,194,300/3

S10 = 1,398,100

Hence the sum of the first ten terms is 1,398,100

5 0
3 years ago
Match the word with its definition
Inessa05 [86]

Answer:

#1- definition #2

#2- definition #1

#3- definition #3

Step-by-step explanation:

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3 years ago
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How is the parent function y=x2 related to the given function Y=3(x+1)2?
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Parent function: y = f(x) = x^2

given function: y = g(x) = 3 (x+1)^2

=> g(x) = 3 * f(x + 1)^2

So, from the point of view of graphs, the given function, g(x), is the parent function, f(x) = x^2, shifted one unit to the left and amplified by a factor of 3.


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Statistic                        .....................................

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2 years ago
On a 15 scale drawing of a car, one part is 8 inches long. How long will the actual car part be?
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To find your answer out , Multiply 8 by 5 giving u 40 inches . So your answer will be 40 inches long .
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