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kati45 [8]
3 years ago
5

What quad is (-5,1) ?

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0

Answer:

5

Step-by-step explanation:

because I said so damit

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Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the
Strike441 [17]

Answer:

Step-by-step explanation:

This is a differential equation problem most easily solved with an exponential decay equation of the form

y=Ce^{kt}. We know that the initial amount of salt in the tank is 28 pounds, so

C = 28. Now we just need to find k.

The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is \frac{dy}{dt}. Thus, the change in the concentration of salt is found in

\frac{dy}{dt}= inflow of salt - outflow of salt

Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

3(\frac{y}{400})

Therefore,

\frac{dy}{dt}=0-3(\frac{y}{400}) or just

\frac{dy}{dt}=-\frac{3y}{400} and in terms of time,

-\frac{3t}{400}

Thus, our equation is

y=28e^{-\frac{3t}{400} and filling in 16 for the number of minutes in t:

y = 24.834 pounds of salt

6 0
2 years ago
The perimeter of a rectangle is 84 inches. The width of the rectangle is 12 inches. What is the length of the rectangle?
german
The length of the rectangle is 30
5 0
2 years ago
PLEASE HELP!!! Thanks in advance!! Henry is a ringmaster for the circus. He stands inside a circular circus ring that has a circ
Andreas93 [3]

Circumference  =   2pi  * r

So

3pi   =  2pi  r               divide  away pi

3  =  2  r

(3/2)  =  r    =   1.5 m

Area  =  pi  ( r^2)   =   pi  (1.5)^2   =   2.25 pi   m^2   ≈  7.07  m^2

cited from web2.0calc

3 0
2 years ago
What is the y intercept of the line whose equation is y = 1/2x - 3
den301095 [7]
The y intercept is when x=0 so y=1/2(0) -3 so y=0-3 so y=-3
7 0
3 years ago
Read 2 more answers
Part A: Explain how to determine the value of the vertical translation, d, for the graph of g(x). (2 points)
Vinil7 [7]

Answer:

Part A: Up 9

Part B: Up 6

Step-by-step explanation:

Part A: The graph appears to be a cosine graph since it starts at a peak on the y-axis. Normally a cosine graph starts at (0,1). This graph begins at (0,10). It has been shifted up y a translation by 9.

Part B: Each trig equation has a basic structure f(x) = a sin (x+b) + k where:

  • a is the vertical stretch
  • b is the horizontal shift
  • k is the vertical shift

A vertical translation is a vertical shift and is represented by the value in k added outside of the function. In the equation f(x) = 2sin(θ + 120°) + 6, k = 6. The vertical translation is 6.

5 0
3 years ago
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