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Alinara [238K]
3 years ago
13

Find the sum of the following infinite geometric series.

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0
Answer is b hope this helps you
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The area of the Pacific Ocean is 63,780,000 square miles. The Atlantic Ocean is 2.27 cross times 10 to the power of 7 square mil
olganol [36]

Answer:

4.11 * 10⁷ square miles

Step-by-step explanation:

Let P = pacific ocean

A = Atlantic ocean

P = 63,780,000 = 6.38 * 10⁷

Since A is 2.27 * 10⁷ square miles smaller than the pacific ocean,

The area of A = 6.38 * 10⁷ - 2.27 * 10⁷

The area of the atlantic ocean = 4.11 * 10⁷ square miles

4 0
2 years ago
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What is the LCM of 2,8 and 10
leva [86]
Lcm= 2
Because
2/2= 1
2/8=4
2/10=5
5 0
3 years ago
Express the volume of the box as a<br>polynomial in the variable x
Whitepunk [10]

The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)

<h3>How to determine the volume?</h3>

The complete question is added as an attachment

From the attached image, we have:

Length = 12 - 2x

Width = 7 - 2x

Height = x

The volume is calculated as:

Volume = Length * Width * Height

Substitute the known values in the above equation

Volume = (12 - 2x) * (7 - 2x) * x

This gives

Volume = x(12 - 2x)(7 - 2x)

Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)

Read more about polynomial at:

brainly.com/question/4142886

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7 0
1 year ago
If a new college graduate wants a car costing $21,000, how much must be saved annually over the next four years if the funds ear
fgiga [73]
I'm assuming the funds earn 5% yearly?

Call x the amount he saves every year.  The first year's deposit will be multiplied by 1.05 three times, the next will be multiplied by 1.05 twice, the third will be multiplied by 1.05 once, and the fourth will not generate interest (as it will immediately be used to buy the car).

Therefore, x(1.05^3+1.05^2+1.05+1)=21000, so 4.31x=21000.  Dividing by 4.31, we see that x is approximately equal to 4872.
8 0
2 years ago
What is the following product? (2 square root 7+3 square root 6)(5 square root 2+4 square root 3)
Xelga [282]

(2\sqrt7+3\sqrt6)(5\sqrt2+4\sqrt3)\qquad\text{use distributive property}\\\\=(2\sqrt7)(5\sqrt2)+(2\sqrt7)(4\sqrt3)+(3\sqrt6)(5\sqrt2)+(3\sqrt6)(4\sqrt3)\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt{12}+12\sqrt{18}\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt{4\cdot3}+12\sqrt{9\cdot2}\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt4\cdot\sqrt3+12\sqrt9\cdot\sqrt2\\\\=10\sqrt{14}+8\sqrt{21}+(15)(2)\sqrt3+(12)(3)\sqrt2\\\\=\boxed{10\sqrt{14}+8\sqrt{21}+30\sqrt3+36\sqrt2}

5 0
3 years ago
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