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aksik [14]
2 years ago
5

James has an ice cube tray that makes ice in the shape of spheres rather than cubes. Each sphere of ice has a radius of 222 cm.

One tray makes 666 spheres. What is the total volume of ice the tray can make at one time?
Mathematics
2 answers:
valina [46]2 years ago
8 0
You will use the formula for the volume of the sphere to find the volume of one ice cube.  

I will use 2 cm as the radius.

V = 4/3 x pi x r^3
       4/3 x 3.14 x 2^3
V = 33.49 cubic cm

The volume of 1 ice cube is approximately 33.49 cubic cm, so 6 would be 6 x 33.49.

The volume of 6 ice cubes is approximately 200.94 cubic centimeters.
Veseljchak [2.6K]2 years ago
8 0

Answer:

64π

Step-by-step explanation:

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For the line that has the equation 4x1 + 8x2 = 88, an axis intercept is:
dmitriy555 [2]
The given equation is
4x + 8x² = 88

That is,
8x² + 4x - 88 = 0
or
2x² + x - 22 = 0
The x-axis intercepts are determined by the solution of the quadratic equation as
x = (1/4) [-1 +/- √(1+176)] = 3.076 or -3.376

Answer: 3.076 or -3.376
4 0
2 years ago
The 2000 U.S. Census reports the populations of Bozeman, Montana, as 27,509 and Butte, Montana, as 32,370. Since the 1990 census
Nitella [24]
If the increase is x% per year, the multiplier each year is 1+x (expressed as a decimal).

Bozeman = 27,509·1.0196^t
Butte = 32,370·0.9971^t

where t is the number of years after 1990.
3 0
2 years ago
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Find the value of z such that 0.9722 of the area lies between −z and z. Round your answer to two decimal places.
Amiraneli [1.4K]

Answer:

-2.20 < z < 2.20

Step-by-step explanation:

You are saying the entire area = 0.9722

so    1 - 0.9722 = 0.0278

then  we want it to fit in the middle of the normal curve with center 0

so...

0.0278/2 =0.0139  this corresponds to 2.20  on the z-score chart

7 0
2 years ago
According to an informal poll in Glenview 1/3
Talja [164]

Answer:

Percent form: 41.65%

Fraction form: \frac{833}{2000}

Step-by-step explanation:

33% of men support John Smith.

67% of women support John Smith.

Lets say, for instance, that there are 20 polled individuals -- 10 women and 10 men.

However, since 1.5 times as many men voted as women, we have to apply our poll to 15 men and 5 women.

33% of the 15 men makes 5 men who voted for Smith and 10 who did not.

67% of the 5 women makes 3.33 women who voted for Smith and 1.67 who did not.

Add these numbers together.

8.33 total voters were cast for John Smith, while 11.67 were not.

Now, divide 8.33 by 20 and multiply by 100 to obtain a percentage.

\frac{8.33}{20} \\.4165\\41.65

41.65% of voters voted for John Smith according to the results of the poll.

7 0
2 years ago
A cube with side length 2f is stacked on another cube with side length 3g2. Choose the expression that represents the total volu
Reil [10]
The expression that represents the total volume of both cubes is 8f^3+27g^6.

The volume of a cube is found by multiplying its length, width, and height; for the first cube, this is 
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For the second cube, this is
V=(3g²)(3g²)(3g²)=27g⁶.

The total area is their sum, so 8f³+27g⁶.
4 0
2 years ago
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