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Neko [114]
3 years ago
6

The height of a cylinder is twice its radius. A sphere whose radius is 2 inches less than the radius of the cylinder is carved o

ut of the cylinder. If the volume of the remaining portion of the cylinder is 214π cubic inches, which statements about the cylinder’s radius, x, are true?
The equation x3 + 12x2 − 24x − 305 = 0 can be used to find the cylinder’s radius.
The equation x3 + 12x2 − 24x − 336 = 0 can be used to find the cylinder’s radius.
The radius of the cylinder is 7 inches.
The radius of the cylinder is 6 inches.
The radius of the cylinder is 5 inches.
NextReset
Mathematics
1 answer:
ozzi3 years ago
5 0
Graphing it out yields the radius of the cylinder is 5 inches.
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Sally spelled 2 words incorrectly out of 20 spelling words on the test. What percent grade did Sally get on the test?
Tom [10]

Answer:

90%

Step-by-step explanation:

So Sally gets 18/20 of the questions correct then you need to make the denominator of the fraction to 100 which makes a percent. So you multiply both the numerator and denominator by 5:

90/100

which is equal to 90%

Hope this helps!

7 0
3 years ago
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
Assoli18 [71]

Step-by-step explanation:

Rate of growth equals 420/100 = 4.2 times per hour

So after t=three hours,

size of culture = 100*(4.2)^t = 100*4.2^3=7408.8 bacteria,

round to nearest unit 7409 bacteria after three hours (after initial size of 100).

8 0
3 years ago
Read 2 more answers
PLS HELP!<br> solve by completing the square<br> x²+4x=8
masya89 [10]

Step-by-step explanation:

x²+4x=8

rearrange

x² + 4x - 8 = 0

half of 4 is 2

so

x² + 4x + 2² - 2² - 8 = 0

do x² + 4x + 2²

multiplies to give 4 adds to give 4

2+ 2

(x + 2)²

(x + 2)² - 2² - 8

(x + 2)² - 4 - 8

(x + 2)² - 12

(x + 2 + √12) (x + 2 - √12)

√12 = √4 * √3 = 2 √3

(x + 2 + 2√3) (x + 2 - 2√3)

4 0
2 years ago
Determine the area of the yellow sector
Free_Kalibri [48]

Answer:

146 is the answer im positive

4 0
2 years ago
What's the error? Jerry says that a cube with edges that measure 10 cm has a volume that is twice as much as a cube with sides t
disa [49]
The quick way to dispute something like this is to simply do the calculation and then create a ratio. 

Cube One (Large Cube)
The formula for a cube is V = e^3 
e = the measurement of an edge. In this case.
e = 10 cm
V = e^3
V = 10^3 = 10*10*10
V = 1000 cm^3

Cube 2 (Small Cube)
V = e^3
e = 5 cm
V = 5*5*5
V = 125 cm^3

Ratio
Large Cube / Small Cube = 1000 / 125 = 8/1.

The difference in size is 8 to 1 not 2 to 1.

Explanation
He's right if he sticks to one side. The ratio of one side of the large cube to the small one is 2 to 1. But once you put that into the formula for volume, three sides are multiplied together and that 2 shows up everytime you multiply the sides together. 

4 0
4 years ago
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