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MakcuM [25]
3 years ago
12

The lengths, in seconds, of four folk songs are

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer:

C. 19.5

Step-by-step explanation:

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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The di
lawyer [7]

Answer:

0.0063 ft / min

Step-by-step explanation:

From the problem statement we have that the variation in volume with respect to time is equal 10, like this:

dV / dt = 10 ft ^ 3 / min

We know that the volume of the cone is given by the equation:

V = (1/3) * Pi * r ^ 2 * h

Now, we are mentioned that the diameter of the base of the cone is approximately three times the altitude, therefore:

2r = 3h, solving for r we have:

r = (3/2) * h, replacing the volume equation:

V = (1/3) * Pi * [(3h / 2) ^ 2] * h, solving we have:

V = (3/4) * Pi * h ^ 3

They ask us to calculate the change in height with respect to time, that is dh / dt

Therefore we derive both sides with respect to time, we have to:

dV / dt = (3/4) * Pi [3 * (h ^ 2) dh / dt] = (9/4) * pi * (h ^ 2) * dh / dt

reorganizing for dh / dt, we have:

dh / dt = [4/9 * pi * (h ^ 2)] * dV / dt

Knowing that h is 15 and dV / dt is 10, we replace these values:

dh / dt = [4/9 * 3.14 * (15 ^ 2)] * 10 = 0.0063 ft / min

0.0063 ft / min would be the change in height with respect to time.

4 0
3 years ago
This is a pic of my question.. ​
KonstantinChe [14]

Answer:

The answer is c

Step-by-step explanation:

5x+3y=19

multiply x 2: 10x+6y=38

2x-4y=-8

multiply by -5: -10x+20y=40

now you can add the two equations:

                    10x+6y=38

                    -10x+20y=40

add equations 0x+26y=78

                               Y=3

8 0
3 years ago
Write the following expressions in standard form.
IRISSAK [1]
Write the folowing in standard form and you well get 
#1 is 5b
#2 is b−8x+<span>4</span>
5 0
3 years ago
Read 2 more answers
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale a
Finger [1]
It is 2.56 because per pound equals the amount
7 0
2 years ago
Can someone help? Please explain how you got your answer.
frez [133]
The tablecloth has 42" diameter.
Add 8" at each end of the diameter to get 42" + 8" + 8" = 58".
The tablecloth has 58" diameter.
The radius is half the diameter.
Radius = diameter/2 = 58"/2 = 29".
Answer: The radius of the tablecloth is 29".

3 0
3 years ago
Read 2 more answers
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