Answer:
Let v(t) be the velocity of the car t hours after 2:00 PM. Then . By the Mean Value Theorem, there is a number c such that with . Since v'(t) is the acceleration at time t, the acceleration c hours after 2:00 PM is exactly .
Step-by-step explanation:
The Mean Value Theorem says,
Let be a function that satisfies the following hypotheses:
- f is continuous on the closed interval [a, b].
- f is differentiable on the open interval (a, b).
Then there is a number c in (a, b) such that
Note that the Mean Value Theorem doesn’t tell us what c is. It only tells us that there is at least one number c that will satisfy the conclusion of the theorem.
By assumption, the car’s speed is continuous and differentiable everywhere. This means we can apply the Mean Value Theorem.
Let v(t) be the velocity of the car t hours after 2:00 PM. Then and (note that 20 minutes is of an hour), so the average rate of change of v on the interval is
We know that acceleration is the derivative of speed. So, by the Mean Value Theorem, there is a time c in at which .
c is a time time between 2:00 and 2:20 at which the acceleration is .
Answer:
327.6 €
Step-by-step explanation:
you can solve with an equation
1£ : 1.17€ = 280£ : x
1 : 1.17 = 280 : x
x = 1.17 * 280 : 1
x = 327.6
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check
1 : 1.17 = 280 : 327.6
0.85 = 0.85
the answer is good
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or you can simpy solve with a multiplication
280 * 1.17 = 327.6
Omar can make 14 whole dumplings. You change 2 3/4 cups to an improper fraction ( multiply the denominator and add the numerator ) and you get 11/4. Since you need 3/16 cups for one dumpling you have to find the greatest common denominator which is 16. You multiply 4 by 11 to get the numerator and end up with 44/16. Since you need 3/16 for one whole dumping you divide 44 by 3 and get 14.6 repeating. You cannot have a fraction of a dumpling so you round down and get the answer 14.
Answer: D (1,0): (6,5); (36,10): (216,15)
Step-by-step explanation:
Because 1x6=6 0+5=5
6x6=36 5+5=10 ect.