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soldier1979 [14.2K]
3 years ago
15

The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm^3 of water.

Mathematics
1 answer:
nydimaria [60]3 years ago
8 0

Answer:

About 90%

Step-by-step explanation:

If the cup was filled at a constant rate, then the cup fills at 70/2=35 cubic centimeters per second. The formula for the volume of a cone is \frac{1}{3} \pi r^2 h, or in this case \frac{112}{3}\pi cubic centimeters. After 3 seconds, the cup would have 35*3=105 cubic centimeters of water inside of it, or about 89.52% which rounds to 90%. Hope this helps!

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How do you solve -2(6x+3)=-27–5x ?
kvasek [131]
Hi!

Our goal is to isolate x on one side by doing the same operation on both sides.

First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
-12x - 6 = -27 - 5x

Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
-12x = -21 - 5x

Add 5x to both sides
-12x + 5x = -21 - 5x + 5x
-7x = -21

Divide by -7 on both sides
-7x/-7 = -21/-7
x = 3

The answer is x = 3

Hope this helps! :)
8 0
3 years ago
-845 degree coterminal angle
meriva
Check the picture below.

with negative angles, we go "clockwise", the same direction a clock hands move.

so -360-360-125 = -845.

so as you see in the picture, you go around twice, and then a little bit more, an extra 125°, landing you at -125°, or its positive counterpart, 235°.

6 0
3 years ago
What does x=??? hurry!!
elena-s [515]

Answer:

17 degrees.

There is a right angle and we know that is 90 degrees. 73 degrees has a vertical angle which is 73 degrees. The opposite vertical angle adds up to another angle which gives you 90. Subtract 73 from 90 and you get 17.

4 0
3 years ago
Jessie served 11 pints of orange juice at her party. How many quarts of orange juice did she serve
Savatey [412]

Answer:

5 and 1/2 quarts

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
Appreciate answers and any help!
Savatey [412]

To find the expected value of the distribution, we multiply each outcome by it's probability. Doing this, we get that the expected value of defects on a skateboard is of \frac{4}{25}.

Outcomes and probabilities:

0 defects, 9/10 probability

1 defect, 1/20 probability

2 defects, 1/25 probability

3 defects, 1/100 probability.

Expected value:

E(X) = 0\frac{9}{10} + \frac{1}{20} + 2\frac{1}{25} + 3\frac{1}{100} = \frac{1}{20} + \frac{2}{25} + \frac{3}{100} = \frac{5 + 8 + 3}{100} = \frac{16}{100}

Dividing both numerator and denominator by 4:

\frac{4}{25}

Thus, the expected value of defects on a skateboard is of \frac{4}{25}.

A similar problem is given at: brainly.com/question/23156292.

4 0
3 years ago
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