Using a_n=a_1r^{n-1}, what is the 10th term in this geometric sequence? $0.2,1,5,25,125,...$

Answers

Answer 1

Answer: $a_n=a_1.r^(n-1)\n \n a_(10)=(0.2).5^9\n \n a_(10)=(0.2).1,953,125=390,625$

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How can I find the value of 78 x n when n= 3237

Answers

Replace n with 3237 so you have 78*3237
And you get 252486 as your answer

Which of the following represents the prime factorization of 72?

Answers

If you would like to write the prime factorization of 72, you can do this using the following steps:

72 / 2 = 36
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1

72 = 2 * 2 * 2 * 3 * 3 = 2^3 * 3^2

The correct result would be 2 * 2 * 2 * 3 * 3.

Answer:

2^3 3^2

Step-by-step explanation:

4. When interpreting a scatterplot, the association must be positive or negative.True
False

Answers

True True True True True True True True

The correct answer is:

True.

Explanation:

An association between two variables in a scatterplot is shown by most of the points following a pattern. This pattern can be linear or non-linear. The more closely the points seem to follow this pattern, the stronger the association.

An association in a scatterplot can be negative, meaning that as one variable increases the other decreases, or positive, meaning that as one variable increases the other increases as well. A negative association will appear to decrease on a graph, and a positive association will appear to increase on a graph.

Sum of two digit number is9.When we interchange the digits it is found that the resulting new number becomes twice the other number. What are the numbers

Answers

Answer:

4 and 5

Step-by-step explanation:

Let the numbers be x and y

If their sum is 9, hence;

x + y = 9 ....1

When reversed

10y+x = 2(10x+y)

10y+x = 20x + 2y

10y - 2y = 20x - x

8y = 19x

y = 10x/8 ...2

Substitute equation 2 into 1;

From 1;

x+y = 9

x +(10x/8) = 9

18x/8 = 9

18x = 72

x = 72/18

x = 4

Since x+y =9

y = 9-x

y =9-4

y = 5

Hence the numbers are 4 and 5

Between what two consecutive integers does√73
lie????

A: 71 and 73
B: 8 and 9
C: 9 and 10
D: 10 and 11

Answers

Hey there, √73 is between the two square roots, √81 and √64, now, 8*9=72, so, √64, √73, and √81. So, 8<√73<9. Therefore, the answer is B. 8 and 9

in the xy-plane, the graph of the function f is a line. if f(2)=7 and f(12)=1, what is the value of f(7)?

Answers

Given that the function is a line

[f(7) - f(2)] / [7 - 2] = [f(12) - f(2)] / [12 - 2]

[f(7) - 7] / 5 = [1 - 7] / 10

[f(7) - 7] = 5 * [-6] / 10

[f(7) - 7] = - 3

f(7) = - 3 + 7 = 4

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