Answer: 1,600 people
Step-by-step explanation:
The survey showed that 40 out of 75 people would vote for Mr. Best.
Convert this figure to a percentage so that you can use it to find out the number of people that would vote for him if numbers were larger:
= 40 / 75
= 53.33%
If 3,000 people voted, 53.33% would vote for Mr. Best which is:
= 3,000 * 53.33%
= 1,599.9
= 1,600 people
50-7 is 43
43 divided by 3 is 14.3
you’ll be able to go on 14 rides
Let y(t) represent the level of water in inches at time t in hours. Then we are given ...
y'(t) = k√(y(t)) . . . . for some proportionality constant k
y(0) = 30
y(1) = 29
We observe that a function of the form
y(t) = a(t - b)²
will have a derivative that is proportional to y:
y'(t) = 2a(t -b)
We can find the constants "a" and "b" from the given boundary conditions.
At t=0
30 = a(0 -b)²
a = 30/b²
At t=1
29 = a(1 - b)² . . . . . . . . . substitute for t
29 = 30(1 - b)²/b² . . . . . substitute for a
29/30 = (1/b -1)² . . . . . . divide by 30
1 -√(29/30) = 1/b . . . . . . square root, then add 1 (positive root yields extraneous solution)
b = 30 +√870 . . . . . . . . simplify
The value of b is the time it takes for the height of water in the tank to become 0. It is 30+√870 hours ≈ 59 hours 29 minutes 45 seconds
A) 5, 2
Because a coefficient is the number in front of the variable, and the variable is x.