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3 years ago

What is the 4th term of the geometric sequence when the first term is 6 and the common ratio is 7?

Mathematics

1 answer:

RUDIKE [14]3 years ago

5 0

Answer:

2,058

Step-by-step explanation:

first term : a_1 = 6

common ratio r = 7

a_n = (a_1) * r ^(n-1)

a_4 = 6 * 7^(4-1)

a_4 = 6 *7^3

a_4 = 6 * 343 = 2,058

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What’s the answer of the equation: 104mn + (-84mn) =36

inn [45]

Answer:

$1\frac{4}{5}mn$

Step-by-step explanation:

$104mn - 84mn = 36 \\ \\ 20mn = 36 \\ \\ 1\frac{4}{5}mn$

This what you can do unless you are solving for either variable.

I am joyous to assist you anytime.

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3 years ago

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Xelga [282]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re

ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

$L=W+3$

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

$\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}$

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

$\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}$

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

6 0

1 year ago

Two numbers have a sum of 77. If one number is p, express the other number in terms of p.

zhannawk [14.2K]

Answer: 77-p

Step-by-step explanation:

o=other number

o+p=77

o+p-p=77-p

o=77-p

3 0

2 years ago

Identify the slope and the y intercept please

anyanavicka [17]

Answer:

m= 2 / 3 b= -2

Step-by-step explanation:

you have to look at the graph to find the y-intercept

then do this to find the slope

m =

y2 - y1

x2 - x1

you plug in all the numbers to get

0+4

3+3

(it would be 3 minus, negative 3 which looks like: 3- - 3 becomes 3+3)

4

and simplified that would be

m= 2/3

6 0

3 years ago