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andrew11 [14]
3 years ago
6

Use the formula for the general term​ (the nth​ term) of a geometric sequence to find the indicated term of the following sequen

ce with the given first​ term, a1​, and common​ ratio, r. find a8 when a1=5, and r=3
Mathematics
1 answer:
xenn [34]3 years ago
6 0

Answer:

a8=10935

Step-by-step explanation:

A geometric sequece is a sequence of the form

a_n=a\cdit r^{n-1}

in our case we know that a=a_1=5 and r=3, hence

a_8=5 \cdot 3^7=10935

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(x-12)(x-1) is the answer.

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No Spam. I will mark Brainliest, if you get it right. A tank's length is 4 feet longer than its width. The height is 2 feet more
dmitriy555 [2]

Answer: 3

Step-by-step explanation:

Let say x the width of the tank,

x+4 its length,

x+2 its height

Volume=105=x(x+4)(x+2)\\\\P(x)=x^3+6x^2+8x-105=0\\\\105=3*5*7\\\\P(1)\neq 0\\P(-1)\neq 0\\P(3)=0\\\\\begin{array}{|c|cccc|}&x^3&x^2&x&1\\&1&6&8&-105\\x=3&&3&27&105\\----&--&--&--&--\\&1&9&35&0\\\end{array}\\\\\\P(x)=x^3+6x^2+8x-105=(x-3)(x^2+9x+35)\\And \ x^2+9x+35\ is\ not \ factorizable\ (\Delat=9^2-4*35 < 0)\\

<u>width=3</u>

length=3+4=7

height=3+2=5

4 0
3 years ago
What is the slope Of the line that passes through the points in the picture?
GuDViN [60]

Answer:

5/3

Step-by-step explanation:

To find the slope we pick one set of points

2/3,-1/2

Set your equation up like this

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What is the solution set of the inequality: 14- 3x &lt; -1
Kazeer [188]

Answer:

<h2>x>5 (Answer should have a positive sign.)</h2>

Step-by-step explanation:

To solve this problem, isolate x from one side of the equation.

First, subtract by 14 from both sides.

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3 years ago
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