Find the sum of the following series. Round to the nearest hundredth if necessary.

Mathematics

1 answer:

e-lub [12.9K]3 years ago

8 0

Answer:

11,184,808

Step-by-step explanation:

The n-th term of a geometric series is ...

an = a1·r^(n-1)

To fill in the formula, we need a1·r^n, so need to multiply the last term shown by r.

The value of r is 32/8 = 4, and the other terms of interest are a1 = 8, a1·r^(n-1) = 8388608. So, the sum is ...

$S_n=\dfrac{ra_1r^{n-1}-a_1}{r-1}=\dfrac{4\cdot 8,388,608-8}{4-1}=11,184,808$

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larisa86 [58]

The expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).

<h3>What will be the volume of the composite figure?</h3>

The volume of the composite figure will be the sum of the volume of the cube and the volume of the pyramid.

Volume of the cube = length*breadth*height

So, the volume of the cube = 8*6*4

The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)

Area of the base of the pyramid = 8*6

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2 years ago

Read 2 more answers

Please put the explanation!

BaLLatris [955]

Answer:

Step-by-step explanation:

In order to get this answer, we must know that a triangle's angles add up to exactly 180. Also, Angles that intersect will have congruent, opposite sides. The last thing is that a line is = 180 degrees. So, the triangle with the 94 and the 142, you can use that. the angle next to the 142 is going to be 180-142 which is 38 and since the other angle is opposite 94, as well. when you add those up u get 132 and 180-132= 48 which is the missing angle for the far right triangle. then, you get the opposite of that angle, put that in the other triangle, do the same with the 72, and add those up to get 120 and since a triagle adds up to 180, 180-120 = 60. So, 60 is your missing angle. Cheers

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2 years ago

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Step-by-step explanation:

Given

Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket

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