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 ![[0 \:h, \frac{1}{3} \:h]](https://tex.z-dn.net/?f=%5B0%20%5C%3Ah%2C%20%5Cfrac%7B1%7D%7B3%7D%20%5C%3Ah%5D)
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 .
32g = 1.12877oz or 32 grams is equivalent to 1.12877 ounces.
In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.
A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.
The sentence states an equality between units of weight: grams and ounces.
From there, we can say that we are asked how many ounces are there in 32 grams.
Converting grams to ounces, we must use the conversion
1 gram = 0.035274 ounces
32 grams = 32 (0.035274 ounces)
32 grams = 1.12877 ounces
To learn more about conversion: brainly.com/question/97386
#SPJ4
Answer:
1/6
Step-by-step explanation:
2/3 of the bedspread is covered in race cars , therefore
1/3 of the bedspread is covered in stripes
2/4 of those 1/3 are red stripes
to find the fraction of the red stripes
2/4 x 1/3 = 2 / 12 = 1/6
You are given two equations, solve for one variable in one of the equations. Say you solved for x in the second equation. Then, plug in that value of x in the x of the first equation. Solve this (first) equation for y (as it should become apparent) and you'll get a number value. Plug in this numerical value of y into the y of the second equation. Solve for x in the second equation. And there you have it: (x, y)
