Answer:
f(t) = 4 - 3t + 2t^2
Step-by-step explanation:
Given:
f(t) = a + bt + ct^2
Differentiate w.r.t. "t"
f'(t) = b + 2ct
1) f(1) = 3
a + b +c = 3...........1)
2) f(2) = 6
a + 2b + 4c = 6.........2)
3) f'(1) = 1
b + 2c = 1 ...............3)
Solving above three simultaneous equations:
a = 4
b = -3
c = 2
Therefore equation becomes:
f(t) = 4 + (-3)t + (2)t^2
Answer: 
Step-by-step explanation:
Answer:
41.5
Step-by-step explanation:
To find the mean, your supposed to add all the numbers you have and divide by how many numbers there are. In this question your numbers are 35, 40,37,42,45, and 50.
If you add them all up you get 249. Your next step is to divide by how many numbers there are. Since there are 6, your equation will now be 249 divided by 6. Your answer is now 41.5
So on the 7th day Ahmad exercised for 41.5 minutes. If you need to round then maybe 41 minutes.
Answer:
Step-by-step explanation:
Statement Reason
1. ∠4 is an exterior angle of ΔABC Given
2. ∠3 and ∠4 form a linear pair Linear pair property
3. ∠3 is supplementary to ∠4 Straight line property
4. m∠3+m∠4=180° ∠3 is supplementary to ∠4
5. m∠1+m∠2+m∠3=180° Triangle sum theorem
6.m∠1+m∠2+m∠3= m∠3+m∠4 Statement 4 and 5
7. m∠1+m∠2=m∠4 Subtraction property
Answer:
3.85
Step-by-step explanation:
6.50 goes into 25 how many times
6.50×?=25
6.50 divided by 25 = 3.846153846
Simplify
3.85
