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BigorU [14]
1 year ago
13

Select the correct answer.

Mathematics
1 answer:
devlian [24]1 year ago
4 0
The answer is c Sam buys gas at a slower rate of 3.4 mile per gallon
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2x = 64 (Enter the X)
Maru [420]

Answer:

x=32

Step-by-step explanation:

4 0
2 years ago
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
Kali trains for a race by running around a track each lap around the track is 400 meters she runs 4 kilometers each day how many
ASHA 777 [7]
I am not very sure but it might be 30 laps.
5 0
3 years ago
If a number has an absolute value equal to 3.06 that number could be____?
bonufazy [111]
D

Absolute Value of a number is the positive of whatever to total value is. For example |-12| = 12, and |32| = 32
8 0
3 years ago
Read 2 more answers
Why does -2^6 equal -64 but -2 x -2 x -2 x -2 x -2 x -2 equal 64?<br> (The x's are multiplication)
NikAS [45]

Answer:

when there are no parentheses around the base, this being -2 we put parentheses around the the 2 and the exponent so it will look like -(2^6) making whatever answer you get negative.

when you put parentheses around the base (-2)^6 you will get 64  

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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