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Sergio039 [100]
3 years ago
15

Brooke has to set up 70 chairs in equal rows for the class talent show. But there is not room for more than 20 rows. What are th

e possible number of rows that Brooke could set up?
Mathematics
1 answer:
uysha [10]3 years ago
6 0
2 rows of 35
7 rows of 10
10 rows of 7
5 rows of 14
14 rows of 5
1 row of 70

6 ROW FORMATIONS POSSIBLE




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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
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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

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What would be the volume of a tree that has a radius of 2 feet and a length of 14 feet?
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stiks02 [169]
It’s answer C f of x will increase and will pass g of x. Also because f(x) is linear and g(x) is exponential.
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