R(t) = 4t
A(r) = π(r^2)
a) A(t) = A[r(t)] = π[r(t)]^2 = π[4t]^2 = 16π(t^2)
b) t = 4,
A(4) = 16*3.14*(16)^2 = 12,861.44
Answer:
She can walk 2.46 repeating miles in 1 hour
Step-by-step explanation:
We can write a proportion to solve this problem. Write the number of miles on top and the time in minutes on the bottom. We know 1 hour is 60 minutes.
1.85 miles x miles
------------------- = ----------------------
45 miles 60 minutes
Using cross products
1.85 * 60 = 45x
Divide each side by 45
1.85*60/45 = 45x/45
2.466666666 =x
She can walk 2.46 repeating miles in 1 hour
Answer:
x = 15
Step-by-step explanation:
We want to solve for x in 3*(2x + 5) = 3x + 4x
First simplify.
3*(2x + 5) = 7x
Next, distribute the 3.
3*2x + 3*5 = 7x
6x + 15 = 7x
15 = 7x - 6x
15 = x
Answer:
2
Step-by-step explanation:
An arithmetic progression with first term a and common difference d has the following first 6 terms:
a, a + d, a + 2d, a + 3d, a + 4d, a + 5d
We are given a = 1 and a + 5d = 11.
1 + 5d = 11
5d = 10
d = 2
Answer: The common difference is 2.
The jar has 6+5=11 marbles.
We have to find the probability of the following event:
1.We pick a marble from a jar that has 11 marbles in total, 5 of them are red
2.We pick a marble from a jar that has now 10 marbles in total, 4 of them are red (because in the previous step we picked a red marble and did not put it back in the jar)
The probability of the first event is:
The probability of the second event is:
The probability of the both events to happen is:
