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IRINA_888 [86]
2 years ago
6

((Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Mathematics
1 answer:
defon2 years ago
8 0

Answer:

C

Step-by-step explanation:

The first term = 1500

2nd term = 900

3rd term = 540

The series is a GP.

r = 900/1500 = 0.6

The sum of the first 10 term, S₁₀, is as calculated below.

Sn = a(1-rⁿ)/(1-r)

S₁₀ = 1500(1 - 0.6¹⁰)/(1 - 0.6)

      = 1500 × 0.9939/0.4

       = 3,727.125 m

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Kamila [148]
4 dozen, he’s right ^
8 0
3 years ago
Evaluate 12∣∣−x+3∣∣−5 when x = 11.
Evgen [1.6K]

Answer:

91

Step-by-step explanation:

12∣∣−x+3∣∣−5

Let x = 11

12∣∣−11+3∣∣−5

Do the absolute value first

12∣∣-8∣∣−5

Taking the absolute value, which means making it positive

12* 8 -5

Multiply and divide

96 -5

91

7 0
3 years ago
F(x) = 4x - 1<br> g(x) = x2 - 4x<br> Find f(g(3))
nasty-shy [4]

Answer:

-13

Step-by-step explanation:

hello,

Replace x by the value as below

g(3)=3^2-4\times3=9-12=-3\\f(g(3))=f(-3)=4\times(-3)-1=-12-1=-13\\

Thanks

5 0
3 years ago
What is the conditional probability that exactly four heads appear when a fair coin is flipped five times
cestrela7 [59]

Answer:

5/32

Step-by-step explanation:

If a coin if flipped five times with four heads, then it has exactly one tail. The number of way to arrange four heads and one tail are as follows:

T H H H H

H T H H H

H H T H H

H H H T H

H H H H T

Essentially, there are five way because there are five "positions" where the tail could be.

Then, you need to find the total amount of possibilities for flipping a coin five times. Every time you flip it, there are two possibilities- heads and tails. Therefore, for five flips, the total amount of possibilities is

2x2x2x2x2 = 32

You know that

probability= # of desired outcome

                   ----------------------------------  

                      # of total outcomes

So the probablity is 5/32.

8 0
3 years ago
What is n/7 = 3/22 ?
gayaneshka [121]

Answer:

The answer is 21/22

Step-by-step explanation:

n/7=3/22

then you cross-multiply

we have 22n=21

divide both sides by 22 to make n the subject of formula

n=21/22

6 0
3 years ago
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