Answer:
10 cups of canberry juice
Step-by-step explanation:
Given that for every 3 cups of punch, he uses 2 cups of cranberry juice.
we need to find the number of canberry juice needed to make 15 cups of punch
3 cup's of punch ---> 2 cups of canberry juice
15 cups's of punch ----> x cups of canberry juice
on cross multiplication we get

x = 10
Therefore we need 10 cups of canberry juice
Answer:0.0057
Step-by-step explanation:
Answer:
Please, see attached picture
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool.
The equation is
f(x) = (1/4)*(4)^(x)
Which is an exponential function, that grows rapidly to infinity as x increases.
Answer:
40 seconds
Step-by-step explanation:
The ratio would be 3:120, indicating the amount of times it went up for air in 120 seconds. In order to find the answer, we'll find the unit rate. 120 divided by 3 is evenly 40. That means, the unit rate is 1:40. It also means that 40 seconds went by before the manatee surfaced the first time (if it held its breath for the same rate).
Note: The first file attached contains the clear and complete question
Answer:
a) The times at which the graph of A(t) has horizontal tangent are t = 1 and t = 7
A(t) has a local maximum at t=7
A(t) has a local minimum at t=1
b) The times at which the graph of D(t) has horizontal tangent are t = 1.59 and t = 7.74
D(t) has a local maximum at t=1.59
D(t) has a local minimum at t=7.74
c) A(t) = (-t^3) + 8(t^2) -21t + 40
d) The water level in vat A is rising most rapidly at t = 4 hrs
e) 138 gallons
f) 18 gallons per hour
g) 98 gallons
Step-by-step explanation:
For clarity and easiness of expression, the calculations are handwritten and attached as files below.
Each step is neatly expressed and solutions to each part of the question are clearly written