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just olya [345]
2 years ago
7

1, 3/5, 9/25 Find the 8th term.

Mathematics
1 answer:
timofeeve [1]2 years ago
8 0

Answer:

Step-by-step explanation:

This is a geometric sequence.

a = first term = 1

Common ratio = r = second term ÷ first term

                        = (3/5)÷ 1 = 3/5

t_{n}=ar^{n-1}\\\\t_{8}=1*(\dfrac{3}{5})^{7}\\\\= \dfrac{3^{7}}{5^{7}}\\\\\\= \dfrac{2187}{78125}

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stepladder [879]

Answer : bru

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is the total surface area of a cylindrical tank having
UkoKoshka [18]

Answer:

Could be C) or D) None of these, 29688.05cm^2

Step-by-step explanation:

Did the question to round off to any numbers?

Formula for cylinder's T.S.A: 2 π r h + 2 π r^2

Diameter= 2 x radius

Radius = 70cm / 2 = 35cm

Height -> need to convert m to cm -> 100cm

Substitute these values into the formula:

2 x π  x 35 x 100 + 2 x π x (35)^2 = 29688.05cm^2

8 0
3 years ago
3. Tim and Juan are both animal lovers. Tim owns 2 cats, 3 dogs, 1 Guinea pig and 3 hamsters and represents this mathematically
LenaWriter [7]

Answer:

Juan- 1c+6d+5g

Together- 3c+9d+6g+3h

Step-by-step explanation:

Add their pets together

7 0
2 years ago
Read 2 more answers
Please Help! Multiple Choice!
Katyanochek1 [597]

Using the z-distribution, the p-value would be given as follows:

b) 0.0086.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis we test if the means are equal, hence:

H_0: \mu_D - \mu_C = 0

At the alternative hypothesis, it is tested if they are different, hence:

H_1: \mu_D - \mu_C \neq 0

<h3>What are the mean and the standard error for the distribution of differences?</h3>

For each sample, they are given as follows:

  • \mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086
  • \mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556

Hence, for the distribution of differences, they are given by:

  • \overline{x} = 12 - 14 = -2.
  • s = \sqrt{0.6086^2 + 0.4556^2} = 0.76

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{x} - \mu}{s}

In which \mu = 0 is the value tested at the null hypothesis.

Hence:

z = \frac{\overline{x} - \mu}{s}

z = \frac{-2 - 0}{0.76}

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

Hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/13873630

#SPJ1

4 0
2 years ago
Find the factored form of 4x3 – 8x2 – 12x
seraphim [82]
4 x³ - 8 x² - 12 x = 
= 4 x ( x² - 2 x - 3 ) =
= 4 x ( x² - 3 x + x - 3 ) =
= 4 x ( x ( x - 3 ) + ( x - 3 ) ) =
= 4 x ( x - 3 ) ( x + 1 )   ( the factored form )
7 0
3 years ago
Read 2 more answers
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