For this case we have the following function:
f (t) = -16t2 + 48t + 100
The average rate of change is:
(f (t2) - f (t1)) / (t2 - t1)
We have then:
For t1 = 3:
f (3) = -16 * (3) ^ 2 + 48 * (3) + 100
f (3) = 100
For t2 = 5:
f (5) = -16 * (5) ^ 2 + 48 * (5) + 100
f (5) = -60
Substituting values:
AVR = (-60 - 100) / (5 - 3)
AVR = -80
Answer:
The average rate of change of f (t) from t = 3 seconds to t = 5 seconds is -80 feet per second.
Answer:
5 ham sandwiches
Step-by-step explanation:
To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.
- 1 ham sandwich, 7 turkey sandwiches = 8 sandwiches
- 2 ham sandwiches, 8 turkey sandwiches = 10 sandwiches
- 3 ham sandwiches, 9 turkey sandwiches = 12 sandwiches
- 4 ham sandwiches, 10 turkey sandwiches = 14 sandwiches
- 5 ham sandwiches, 11 turkey sandwiches = 16 sandwiches
While this method isn't always very efficient, it worked pretty well for this case!
Therefore, the answer is 5 ham sandwiches.
Step-by-step explanation:
With reference angle A
perpendicular (p) = 3
base (b) = 4
Now
Tan A = p/ b
= 3/4
Hope it will help :)❤
Answer:
(a) 0
(b) -3/26
Step-by-step explanation:
(a)
We essentially plug 1 in for x and 2 in for y.
Our expression is
, so making the correct substitutions yields:

So, the answer for part (a) is 0.
(b)
Again, we're now plugging in 1 for x and 5 for y:

So, the answer for part (b) is -3/26.
Answer: 84 mm is MAYBE the answer.