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:
61
Step-by-step explanation:
we kno that a triangle is 180 degrees so we just add the first two angles
37 + 82 = 119
then subtract that from 180
180 - 119 = 61
so x = 61 degrees
lmk if this wrong and ill fix it
hope this helps <3
Answer:
$3628.24
Step-by-step explanation:
we use the formula for accrued value (A) with compounded interest:

where A= accrued value (principal plus the accumulated interest)
P = principal -> in our case $6000
r = annual interest rate (in decimal form) -> in our case 0.06
n = number of compoundings per year. In our case 2 (semiannually)
t = time in years -> in our case 8

Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:
$9628.24 - $6000 = $3628.24
There would be a 10% chance that they would have the same birthday