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2 years ago

Nate's weekly pay increased from $710 to $770. Which of the following is closest to the

Mathematics

1 answer:

Lemur [1.5K]2 years ago

8 0

Answer:

The answer is 8.5 hope this helped.

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Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

OlgaM077 [116]

Answer:

$a_n = 16(\frac{1}{4})^{n - 1}$

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = $\frac{1}{16}$

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = $ar^{n - 1}$ , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

$\frac{1}{16} = a*\frac{1}{4}^{5 - 1}$

$\frac{1}{16} = a*\frac{1}{4}^{4}$

$\frac{1}{16} = a*\frac{1}{256}$

$\frac{1}{16} = \frac{a}{256}$

Cross multiply

$1*256 = a*16$

Divide both sides by 16

$\frac{256}{16} = \frac{16a}{16}$

$16 = a$

$a = 16$

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = $ar^{n - 1}$

nth term = $16*\frac{1}{4}^{n - 1}$

$a_n = 16(\frac{1}{4})^{n - 1}$

3 0

2 years ago

The scatter plot below shows the algebra grades and the number of absences of different students for the first semester. Which o

swat32

Answer:

Look up on youtbe

Step-by-step explanation:

It will give you A direct answer and you would actualy learn the subject

6 0

2 years ago

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Find a distance between the two points

Alekssandra [29.7K]

i dont seem to understamd

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3 years ago

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Which ratio is equivalent to 3/15

Rzqust [24]

Answer:

Step-by-step explanation:

The ratio of 6:30 would be equivalent to it.

4 0

2 years ago

a seed company has a test plot in which it is testing the germination of a hybrid seed, They plant 50 rows of 40 seeds per row.

ziro4ka [17]

Answer:

Mean = $\sum x P(x) = 36.86$

Standard deviation = $\sum x^2P(X)=1360.9$

Step-by-step explanation:

x P(x) $x \times P(x)$ $x^2 \times P(x)$

33 0.02 0.66 21.78

34 0.06 2.04 69.36

35 0.1 3.5 122.5

36 0.2 7.2 259.2

37 0.24 8.88 328.56

38 0.26 9.88 375.44

39 0.1 3.9 152.1

40 0.02 0.8 32

1 36.86 1360.9

We are supposed to find mean and standard deviation

Mean = $\sum x P(x) = 36.86$

Standard deviation = $\sum x^2P(X)=1360.9$

7 0

2 years ago