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Naddik [55]
3 years ago
7

the height of a cylinder is 5 units less than 3 times it’s radius, which expression represents the height of the cylinder in ter

ms of its radius
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
8 0

Answer:

3r - 5 = h

Step-by-step explanation:

The statement basically says the equation, so all that is needed is interpretation. First, look at the "three times". If the height is just three times the radius, it will look like 3r = h, because if any number is put into r, then h will be three times larger. Then it says "5 units less", which can be put as r - 5 = h with the same logic as the previous explanation. Combining those two gives us, lo and behold, 3r - 5 = h.

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Write formula for arithmetic sequence when first term is not given
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An<span> = am</span><span> + (n – 1)d.
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8 0
3 years ago
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 55 miles per
SSSSS [86.1K]

Answer:

95+75=170 mph=speed at which the two trains are moving apart

travel time=distance/speed=374/170=2.2

How long will it take for the two trains to be 374 miles apart? 2.2 hrs

Step-by-step explanation:

6 0
3 years ago
6(33 - w) = 90 solve for w entre your answer in the box w =
aliina [53]

Answer:

w = 18

Step-by-step explanation:

6(33 - w) = 90

33 - w = 15

-w = -18

w = 18

5 0
2 years ago
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule t
MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

8 0
3 years ago
How many 3/4 ounce spoonfuls of sugar<br> are in a 5 1/2 ounce bowl?<br> show work please
klasskru [66]

Answer: \frac{22}{3}

Step-by-step explanation: Divide

5\frac{1}{2}\div \frac{3}{4}

Step 1: Convert the mixed number to improper fraction

5 \frac{1}{2} =\frac{11}{2}

= \frac{11}{2}\div \frac{3}{4}

Step 2: Reciprocal

\frac{11}{2}\times \frac{4}{3}

Step 3: Divide the common factors

4 \div 2 = 2\\\\=\frac{11}{1}\times \frac{2}{3}

Step 4: Multiply

\frac{11\times \:2}{1\times \:3}\\\\=\frac{22}{3}

5 0
3 years ago
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