32/36=8/9 divided both digits by 4
Volume without holes = 3 x 6 x 11 = 198 cubic inches.
Calculate volume of one hole:
3.14 x 0.5^2 x 3 = 2.355 cubic inches
There are 3 holes: 3 x 2.355 = 7.065
Subtract volume of the holes from the brick:
198 - 7.065 = 190.935 cubic inches.
Rounded to the nearest tenth: 190.9 cubic inches.
Answer:
9
Step-by-step explanation:
Solving the equation on the left we get
(x-9)^2
Answer:
18.75 mg
Step-by-step explanation:
We can model this problem using the exponencial equation:
y = yo * (1 + r)^x
Where y is the final value, yo is the inicial value, r is the rate and x is the amount of time.
In this problem, we want to find y after x = 4 hours (from 9am to 1pm), we have yo = 300 and r = -0.5 (for every hour, half the caffeine leaves the body). So we have that:
y = 300 * (1 - 0.5)^4
y = 300 * 0.5^4
y = 300 * 0.0625
y = 18.75 mg
