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aev [14]
3 years ago
13

help please Compute the volume of a sphere with a radius of 6 inches. a. 864π in3 b.72π in3 c. 216π in3 d. 288π in3

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

d. 288π in3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The radius is 6

V = 4/3 pi 6^3

V = 288 pi in^3

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How can you check to see if two ratios form a proportion? Explain the method you used to find the answer to the previous problem
antiseptic1488 [7]

Answer:

In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

Step-by-step explanation:

In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

6 0
3 years ago
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What is the y-value of the point of intersection of y=2sinx-cosx and y=cosx over the interval 0≤x≤pi/2 ? a. 0 b. (square root of
horsena [70]
We have that

<span>y=2sinx-cosx
y=cosx
</span>over the interval 0≤x≤pi/2-------> 0≤x≤1.57

using a graph tool
see the attached figure

the solution in the given interval is the point (pi/4, 0.707)
the y-value of the point of intersection is 0.707 -----> √2/2

the answer is the option 
<span>b. (square root of 2)/2</span>

7 0
3 years ago
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A polynomial has one root that equals 5-7i. Name one other root of this polynomial
mezya [45]

Answer:

The other root is 5 + 7i.


4 0
4 years ago
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Estimate the product by rounding 2 x 6,254
Pavlova-9 [17]
5 × 6,254= 31,300 is the awnser :)
6 0
3 years ago
Can someone solve this? and tell me how?
maksim [4K]

Answer:

1/3

Step-by-step explanation:

When working with balanced expressions (stuff on both sides of the equal sign), "what you do to one side, you do to the other", which keeps it balanced.

The first thing we notice is the exponent 1/4, which is one both sides, so we can get rid of it on both sides by using the <u>reverse operation</u>.

The reverse of exponents is <u>square root</u>.

(4x + 10)^{\frac{1}{4}} = (9 + 7x)^{\frac{1}{4}}\\\sqrt[\frac{1}{4}]{(4x + 10)^{\frac{1}{4}}} = \sqrt[\frac{1}{4}]{(9 + 7x)^{\frac{1}{4}}}\\\\4x + 10 = 9 + 7x

Isolate x to solve. Separate the variables and non-variables.

4x + 10 = 9 + 7x

4x - 4x + 10 = 9 + 7x - 4x          Subtract 4x from both sides

10 = 9 + 3x                

10 - 9 = 9 - 9 + 3x            Subtract 9 from both sides

1 = 3x            Divide both sides by 3 to isolate x

x = 1/3           Answer

8 0
3 years ago
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