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2 years ago

The axis of the sphere below is 16 units in length. What is the surface area of the sphere?.

Mathematics

2 answers:

coldgirl [10]2 years ago

8 0

Answer:

256 $\pi$ units²

Step-by-step explanation:

~apex

Nataly_w [17]2 years ago

5 0

There are enough information's already given in the question. Based on those information's that answer can be easily deduced.
Radius of the sphere = 8 units
Then
Surface area of the sphere = 4 *pi * r^2
= 4 * pi * (8)^2
= 4 * pi * 64
= 256pi
I hope that this answer has come to your help.

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Find the dicontinuities of the function. f(x) = x2 + 12x + 27 x2 + 4x + 3 . There is a removable discontinuity at (, ).

ValentinkaMS [17]

Solution-

$f(x)=\frac{x^{2}+12x+27 }{x^{2} +4x+3} =\frac{x^{2}+9x+3x+27 }{x^{2} +3x+x+3}=\frac{(x+3)(x+9)}{(x+3)(x+1)}$

Equating the denominator to 0,

⇒ (x+3)(x+1) = 0

⇒ x= -3, -1

∴ Discontinuities of the function f(x) is at -3, -1

As (x+3) is also a factor of the numerator, you will have what's called a removable discontinuity. That will show up as a hole in the graph.

∴ At x = -3, you will have removable discontinuity.

4 0

2 years ago

Read 2 more answers

Drag the values to order them from least to greatest, with the least at the top. Item 2 moved to position 3. 79 − − √ + 63 − − √

Nonamiya [84]

$\sqrt{63} \\ \\ \sqrt{79} \\ \\ \sqrt{143} \\ \\ 4\pi$

<h2>Explanation:</h2>

As I understand, in this exercise, we have the following numbers:

$\text{Number 1}=\sqrt{79} \\ \\ \text{Number 2}=\sqrt{63} \\ \\ \text{Number 3}=\sqrt{143} \\ \\ \text{Number 4}=4\pi$

By using calculator, let's convert those numbers into decimal form:

$\text{Number 1} \approx 8.88\\ \\ \text{Number 2} \approx 7.93 \\ \\ \text{Number 3} \approx 11.96 \\ \\ \text{Number 4} \approx 12.56$

So arranging from least to greatest we have:

$\text{Number 2} \\ \\ \text{Number 1} \\ \\ \text{Number 3} \\ \\ \text{Number 2}$

Put another way:

$\sqrt{63} \\ \\ \sqrt{79} \\ \\ \sqrt{143} \\ \\ 4\pi$

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2 years ago

Valery spent 1/5 of her money buying 8 pencils and 2 markers. Each marker cost twice as much as each pencil. She used 58 of her

vovangra [49]

1/10 and his Valero in all is 2862

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2 years ago

An executive for a large national restaurant chain with multiple locations in each of 513 counties wants to personally sample th

ohaa [14]

Answer:

D. Obtain a cluster sample by randomly selecting 20 counties and visiting every restaurant within those counties.

Step-by-step explanation:

Since this executive wants to minimize cost and expenses he should use a cluster sample of 20 counties and using the selected counties as a representative of the whole. Cluster sampling is a good and useful way of doing market research. It is more economical than other sampling methods and as the executive cannot get information on the whole population, he would be able to get information from the clusters.

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2 years ago

Dan is watching The Birds in his backyard. Of the birds he watches, 9. Of them,or 45%, are sparrows. How many birds are in his b

ra1l [238]

If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.

Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.

This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%

5 0

2 years ago