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vladimir2022 [97]
3 years ago
5

A communication tower is built on the slope of a hill. A surveyor, 50m uphill from

Mathematics
1 answer:
qwelly [4]3 years ago
5 0

Answer:

Step-by-step explanation:

a

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What is the sum of the geometric series
lbvjy [14]
If S denotes the sum of the first n terms of a geometric series with first term a and common ratio r, then

S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}
rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n
\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n
\implies (1-r)S=a(1-r^n)
\implies S=a=\dfrac{1-r^n}{1-r}

Using summation notation, you have

S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}

In this case, you have a=2, r=\dfrac12, and n=16. So the value of the sum is

\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67

Rounded to the nearest whole number, the answer would be 3.
4 0
4 years ago
Read 2 more answers
Which of the following are possible solutions for the inequality ??
meriva
-1/2 and -2 would be the answer

This would be because when you plug these number instead of x the answer is equal to or less than 13
8 0
3 years ago
Express the following numbers as a product of their prime factors <br> 24<br> Please show working
Studentka2010 [4]

Answer:

2 x 2 x 2 x 3

Step-by-step explanation:

Find two numbers that multiply together to form 24:

2 x 12 = 24

Find two numbers that multiply together to form 12, a factor of 24. Replace 12 with these numbers:

2 x (2 x 6) = 2 x 12 = 24

Find two numbers that multiply together to form 6, a factor of 12. Replace 6 with these numbers:

2 x (2 x (2 x 3)) = 2 x (2x6) = 2 x 12 = 24

Two and three cannot be factored any further, therefore the prime factors of 24 are 2, 2, 2, and 3.

8 0
3 years ago
5
KonstantinChe [14]

Answer:

semoga jawapan ini dapat membantu

7 0
3 years ago
Please please answer What is 4328 divided by 4
Lerok [7]
It is 1082. 

I hope it helps, you can do more on a calculator. :)))
6 0
3 years ago
Read 2 more answers
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