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Leno4ka [110]
3 years ago
11

Determine whether the geometric series is convergent or divergent. 9 + 8 + 64/9 + 512/81 + ..... If it is convergent, find its s

um?
Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

Convergent; 81

Step-by-step explanation:

r = term2/term1 = 8/9

8/9 < 1 so convergent

Sum = 9/(1 - 8/9)

= 9/(1/9) = 81

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I really need help!Please help me!
solniwko [45]

Answer:

Photomath

Step-by-step explanation:

It looks like someone else is answering this for me so I'll just give ya a nudge. In the future as long as you can put it into an equation Photo math helped me a lot in Middle and Highschool.

5 0
3 years ago
For the given expression, which whole number (w) will make the expression true? 5/6
Sonja [21]

Answer:

D. 7

Step-by-step explanation:

The question is incomplete. Here is a possible complete question

For the given expression, which whole number (w) will make the expression true? 5/6 < w/6

A. 3

B. 4

C. 5

D. 7

Given the inequality expression:

5/6 < w/6

Cross multiply

5×6 < 6×w

30<6w

Divide both sides by 6

30/6 = 6w/6

5<w

Reciprocate both sides(this will change the sense of the inequality)

1/5>1/w

Cross multiply

w > 5×1

w>5

This shows that the value of w is a value greater than 5 but not 5. According to the option, the only value greater than 5 is 7. Hence the whole number (w) that will make the expression true is 7

7 0
3 years ago
Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking.
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

1) A = x

Flower garden is in rectangular shape. In rectangle, opposite sides are equal.

2)  The entire garden is in rectangular shape. In rectangle, opposite sides are equal.

B + x+ 4 = 10x + 6

Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change

B = 10x + 6 - x  - 4

B = 10x - x + 6 - 4   {Combine like terms}

B = 9x + 2

3)  C + x -2 = 5x -3

   C = 5x - 3 - x  +2

C = 5x -x - 3 + 2

C = 4x - 1

4) Area of Vegetable garden = length * width

                                                = (5x - 3) * (9x + 2)

Use FOIL method

                                               = 5x *9x  + 5x*2  + (-3)*9x + (-3)*2

                                                = 45x²  + 10x - 27x - 6  

                                                = 45x² - 17x - 6

5 0
3 years ago
Who is piplup ???????? ~ <br><br><br><br>​
erma4kov [3.2K]
That guy ^ He is Piplup
4 0
2 years ago
How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confide
kari74 [83]

Answer:

The sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The margin of error of a (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The information provided is:

<em>σ</em> = $60

<em>MOE</em> = $2

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the sample size as follows:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

       n=[\frac{z_{\alpha/2}\times \sigma }{MOE}]^{2}

          =[\frac{1.96\times 60}{2}]^{2}

          =3457.44\\\approx 3458

Thus, the sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

8 0
3 years ago
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