A tank holds 90 gal of water, which drains from a leak at the bottom, causing the tank to empty in 24 min. The tank drains faster when it is nearly full because the pressure on the leak is greater. Toricelli's Law gives the volume of water remaining in the tank after t minutes as V(t) = 90 1 − t 24 2 0 ≤ t ≤ 24. (a) Find V(0) and V(24). V(0) = gal V(24) = gal (b) What do your answers to part (a) represent? V(0) represents the initial rate at which the water is leaking, and V(24) represents the rate at which it is leaking when 24 gallons have drained. V(0) represents the time when the tank is empty, and V(24) represents the time when it is full. V(0) represents the initial volume, and V(24) represents the final volume. V(24) represents the the time when the tank is empty, and V(0) represents the time when it is full. V(24) represents the initial volume, and V(0) represents the final volume. (c) Make a table of values of V(t) for t = 0, 6, 12, 18, 24. (Round your answer to three decimal pl

whatever you can spend with $11.53 or under.

step-by-step explanation:

20 - 8.47 = 11.53. take away the money he used for lunch from the starting amount of 20.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.