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user100 [1]
3 years ago
5

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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inn [45]

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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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Step-by-step explanation:

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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

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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.

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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

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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

m=

<u>0+4</u>

3+3

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

m=

<u>4</u>

6

and simplified that would be

m= 2/3

6 0
3 years ago
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