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suter [353]
3 years ago
11

This use how many this answer

Mathematics
1 answer:
babunello [35]3 years ago
3 0
11/8 would be your answer

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Evaluate:<br> 20<br> Σ 4(8/9)^n-1 = [?]<br> 1<br> Round to the nearest hundredth.
lianna [129]

Answer:

32.59 (nearest hundredth)

Step-by-step explanation:

<u />

<u>Geometric sequence</u>

General form of a geometric sequence: a_n=ar^{n-1}

(where a is the first term and r is the common ratio)

Given:

\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}

Therefore:

  • a = 4
  • r = 8/9

<u>Sum of the first n terms of a geometric series</u>:

S_n=\dfrac{a(1-r^n)}{1-r}

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}

\implies S_{20}=32.58609013...

\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)                    

7 0
2 years ago
Read 2 more answers
Write an equation for the line in the given form.
nexus9112 [7]

Answer:

  5x +y = 34

Step-by-step explanation:

Since a point and slope are given, it is convenient to start with point-slope form, then rearrange the equation to put it into standard form.

For slope m through point (h, k), the point-slope form of the equation of a line is usually written ...

  y -k = m(x -h)

For m=-5 and (h, k) = (6, 4), the equation is ...

  y -4 = -5(x -6)

  y -4 = -5x +30 . . . . . eliminate parentheses

__

Standard form looks like ...

  ax + by = c

where a > 0 and GCD(a, b, c) = 1. Here's how we can get there.

  5x +y -4 = 30 . . . . . . add 5x

  5x +y = 34 . . . . . . . . . add 4 to get standard form.

3 0
3 years ago
Which equation is equivalent to sqrt x +11=15
Bas_tet [7]

Answer:

x=16

Step-by-step explanation:

We are given that

\sqrtx+11=15

we have to solve this equation for x

in order to do that we need to isolate x first

hence

subtracting 11 from both sides we get

\sqrtx+11-11=15-11

\sqrtx=4

Now we square on both sides we get

(\sqrtx)^2=4^2

x=4 \times 4

x=16

hence x =16

3 0
3 years ago
4x + 20=? it’s hard and i’m confused
NikAS [45]

Answer:

4(x+5) I

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Adição e subtração de equilateros
Harlamova29_29 [7]
Addition and subtraction of an equilater of what?
6 0
3 years ago
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