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Musya8 [376]
3 years ago
13

Solve N = 144p y for p.

Mathematics
2 answers:
earnstyle [38]3 years ago
4 0
P = n/144y
This is solved for P
Roman55 [17]3 years ago
3 0
\frac{N}{144} = p There you go.
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The surface area of a melting snowball decreases at a rate of3.8cm2/min. Find the rate at which its diameter decreases when the
Scorpion4ik [409]

Answer:

Step-by-step explanation:

This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.

We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of

S=4\pi r^2

In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that

d = 2r so

\frac{d}{2}=r Now we can have the equation in terms of diameter instead of radius. Rewriting:

S=4\pi(\frac{d}{2})^2 which simplifies to

S=4\pi(\frac{d^2}{4}) and a bit more to

S=\pi d^2 (the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.

\frac{dS}{dt}=\pi*2d\frac{dD}{dt} Now let's look at the problem and see what we are given as far as information.

The rate at which the surface area changes is -3.8, and we are looking for \frac{dD}{dt}, the rate at which the diameter is changing, when the diameter is 13. Filling in:

-3.8=\pi(2)(13)\frac{dD}{dt} and solving for the rate at which the diameter is changing:

-\frac{3.8}{26\pi}=\frac{dD}{dt} and divide to get

\frac{dD}{dt}=-.459\frac{cm}{min} Obviously, the negative means that the diameter is decreasing.

7 0
3 years ago
Maria buys 4 1/5 pounds of plums. The total cost after using the coupon for 55 cents off her entire purchase is 3.23$. If c repr
Rudik [331]

$3.23 = 4 1/5c - .55

4 1/5c = the pounds of plums, and the cost of each pound. - .55 represents subtracting the coupon.

7 0
3 years ago
HELP ASAP!!!! 30 POINTS
Vedmedyk [2.9K]

Answer:

20.8 ft²

Step-by-step explanation:

area = (ab sin C)/2

area = (6 ft × 8 ft × sin 60°)/2

area = 20.8 ft²

6 0
2 years ago
One canned juice drink is 25​% orange​ juice; another is 10​% orange juice. How many liters of each should be mixed together in
Talja [164]
11 liters of 25% orange juice, 4 liters of 10% orange juice:

1' let x to be 25% orange juice and y be 10% orange juice

2' .25x+.10y=(15).21

3' x+y=15

4' 2.5x+y=31.5 divide all sides by 10

5' -x-y=-15 multiply all sides by -1

6' 1.5x=16.5

7' x=11

8' y=15-11=4

so 11 and 4 are the answers.


4 0
2 years ago
In the diagram, point K is a point of tangency, MK = 720, and MN = 648. What is the radius of J
lys-0071 [83]
The answer to the question is A.
5 0
3 years ago
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