We have the following function:
f(t) = −16t2 + 34t + 546
By definition, the average rate of change is:
Avr = (f (t2) - f (t1)) / (t2 - t1)
We have then:
For t1 = 5:
f (5) = -16*(5)^2 + 34*(5) + 546
f (5) = 316
For t2 = 5:
f (7) = -16*(7)^2 + 34*(7) + 546
f (7) = 0
Substituting values:
Avr = (0 - 316) / (7 - 5)
Avr = -158
Answer:
The average rate of change of f (t) from t = 5 seconds to t = 7 seconds is -158 feet per second.
Answer:
69 or 71, read below for details.
Step-by-step explanation:
This is unfinished, but I'll answer to my best ability.
200 seniors graduated
99 in band
30 students in art were NOT in band.
I assume the question here is either how many students were in band and art, which would be 69 as 99 - 30 = 69.
If the question is how many students didn't take any electives, the answer is 200 - 99 - 30 = 71.
Message me if you have any questions/clarifications.
Answer: There are approximately 853827 new cases in 6 years.
Step-by-step explanation:
Since we have given that
Initial population = 570000
Rate at which population decreases is given by
Now,
First year =570000
Second year is given by
Third year is given by
so, there is common ratio ,
it becomes geometric progression, as there is exponential decline.
so,
a=570000
common ratio is given by
number of terms = 6
Sum of terms will be given by
We'll put this value in this formula,
So, there are approximately 853827 new cases in 6 years.
Answer:
She will need 10.5 quarts
Step-by-step explanation:
ratio of yellow to blue paint = 3:2
7 ÷ 2 = 3.5
3 x 3.5 = 10.5 quarts
