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3 years ago

Which of the following functions is graphed below?

Mathematics

1 answer:

RSB [31]3 years ago

7 0

pwedi po mang ligaw ha pwedi ako mang ligaw

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A spherical ball with a volume of 972 π π in. 3 3 is packaged in a box that is in the shape of a cube. The edge length of the bo

IRINA_888 [86]

Remember that the equation of the volume of a sphere is: $V= \frac{4 \pi r^{3}}{3}$
where
$V$ is the volume of the sphere
$r$ is the radius of the sphere
We know from our problem that the volume of our spherical ball is $972 \pi in^{3}$ , so $V=972 \pi$ . Lets replace that value in our equation to find $r$ :
$V= \frac{4 \pi r^{3}}{3}$
$972 \pi = \frac{4 \pi r^{3 }}{3}$
$r^3= \frac{3(972 \pi )}{4 \pi }$
$r^{3}=729$
$r= \sqrt[3]{729}$
$r=9$
Now that we have the radius of our spherical ball, we can find its diameter using the equation: $d=2r$ :
$d=2(9)$
$d=18$

Since we know for our problem that t<span>he edge length of the box is equal to the diameter of the ball, the length of one side of our square is 18 in.
Now, to find the volume of our cube, we are going to use the equation: </span> $V=a^3$
where
$V$ is the volume of the cube
$a$ is a side of the cube (remember that all the sides of a cube are equal)
$V=18^3$
$V=5832$

We can conclude that the volume of our cube is 5832 $in^{3}$ .

7 0

3 years ago

Telephone interviews of 1, 502 adults 18 years of age or older found that only 69% could identify the current vice-president.

matrenka [14]

Answer:

Step-by-step explanation:

The population consists of all characteristics of interest and sample is portion or a subset of population. Here, 1502 adults 18 years or older are select ted from a population of all adults 18 years or older, so, 1502 adults are the sample. The measurement taken from sample is termed as statistic. The given value 69% is computed from a sample and thus it is a sample statistic.

3 0

3 years ago

(51) Help please geometey

timama [110]

Distance Formula
d = sqrt((x1-x2)^2 + (y1-y2)^2)
d = sqrt((0-8)^2 + (0-3)^2)
d = sqrt((-8)^2 + (-3)^2)
d = sqrt(64+9)
d = sqrt(73)

You are correct. Nice work.

7 0

3 years ago

Solve the equation by factoring.<br> x² + 2x - 63 = 0<br> x = -9, [?]

xeze [42]

Step-by-step explanation:

x² + 2x - 63 = 0

(x+9)(x-7)=0

x=-9 x=7

7 0

1 year ago

Andre and Ronnie used a stopwatch to record the amount of time it took a golf ball to roll down a three-story ramp. Andre's ball

iren [92.7K]

Answer:

The answer would be A

Step-by-step explanation:

This is because when you take 1.625 it rounds back to 6 because 2 isnt more then 5 or 5 so it wouldn't round just like 1.635. I believe thats the answer im not positive

5 0

3 years ago

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