Answer:
There are a few possible answers so read explanation, but the one I will put up here is:
20.83
Step-by-step explanation:
First you have to find how much 100 cups of coffee costs in store.
To do this you will multiply 2.50 by 100 and get 250. So now we know 100 cups of coffee in store costs $250 whereas 100 cups at home is $12.
To find how many times greater the price in store is compared to the at home brew, you have to divide 250 by 12 and get 20.8333333....
We don't stop there though, because it asks us to approximate. I am not sure what it would like us to round to, but here are some possible approximations:
- 20.83
- 20.8
- 21
Any of those re reasonable approximations, you choose whichever you think the question wants, or whatever your teacher asks for.
Hope this helps
Answer:
Step-by-step explanation:
4/5 - 7/5
7-4/5
3/5
Or
4/5 - 7/5
4-7/5
-3/5
In cylindrical coordinates, we take



so that
.
We have

and the integral is

Answer:
Step-by-step explanation:
The average scores s (on a 100 point scale) for the students can be modeled by
s = 75 - 6 In(t + 1), 0 < t < 12
where t is the time in months.
a) Since the students were given an exam and then retested monthly with equivalent exams, then,
For the original exam, t = 0
Therefore,
s = 75 - 6 In(0 + 1) = 75 - 6 In1
s = 75 - 6 × 0 = 75
b) the average score after 4 months, t = 4
Therefore,
s = 75 - 6 In(4 + 1) = 75 - 6 In5
s = 75 - 9.66 = 65.34
c) s = 60
Therefore,
60 = 75 - 6 In(t + 1)
6 In(t + 1) = 75 - 60 = 15
In(t + 1) = 15/6 = 2.5
t + 1 = e^2.5 = 12.18
t = 12.18 - 1 = 11.18
t = 11 approximately
the slant height would be the hypotenuse of a right triangle. 1/2 the length of the base would be one side of a right triangle. Use the Pythagorean theorem to find the height:
89.9^2 = 9.9^2 + x ^2
8082.01 = 98.01 + x^2
X^2 = 8082.01-98.01
X^2 = 7984
X = sqrt(7984)
X = 89.35
Round to 89.4