Answer:
x = 35
Step-by-step explanation:
First count how many interior angles we have here.
There are 6 interior angles.
so we then can determine the interior sum of the angles here.
Inside angle sum = 180*(6 - 2) degrees = 180*4 = 720 degrees
so
(4x - 5)+(4x - 3) + 118 +(3x+6) + (3x-3) + 117 = 720 degrees
8x - 8 + 118 + 6x + 3 + 117 = 720 degrees
14x -8 + 118 + 120 = 720 degrees
14x + 230 = 720
14x = 720 - 230
14x = 490
x = 35
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 .
Answer:
The answer is $28.56
Step-by-step explanation:
To find the 2% sales tax, you need to multiply the 2% or 0.02 by 28.
Doing this will give you 0.56.
Then you add 0.56 to 28 to get 28.56, hence, $28.56 is the total cost.
Hope it helps!
First of all, the excerpt may not be generally true. It may however be evident based on what was written that shy people become more shy with their everyday dealings because they hid through the social networking sites to be able convey the messages that they want to relay to certain audience.
Remember you said the scale shows you 10% heavier.
So that's an increase of 10%
So value = 10% + 100% = 110%
So scale would show 110% of 82
110% of 82
= (110/100) * 82
= 1.1 * 82
= 90.2
OR
We can simply find 10% of 82 and add it to the original 82.
10% of 82
(10/100) * 82
0.1 * 82 = 8.2
8.2 + 82 = 90.2 Same answer as before.
So scale shows 90.2 kg.
