Answer:
The average value of
over the interval
is
.
Step-by-step explanation:
Let suppose that function
is continuous and integrable in the given intervals, by integral definition of average we have that:
(1)
(2)
By Fundamental Theorems of Calculus we expand both expressions:
(1b)
(2b)
We obtain the average value of
over the interval
by algebraic handling:
![F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)](https://tex.z-dn.net/?f=F%285%29%20-%20F%283%29%20%2B%5BF%283%29-F%28-2%29%5D%20%3D%2040%20%2B%20%28-30%29)



The average value of
over the interval
is
.
Answer:
huh
Step-by-step explanation:
Answer:
It is an isosceles triangle (side FE = FG)
Therefore the base angles are equal.
75 degrees = 2x degrees
x = 75 / 2 = 37.5 degrees
Step-by-step explanation:
Answer:

Step-by-step explanation:
The given line is defined by:
, where we see that the slope is 5 and the y-intercept 1.
In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.
"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal:
.
We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:

we require then that when
, the value of
.
Therefore: 
Then our final answer is that the new line should have the form: 
Answer:
6/5 or 1 1/5
6/5 is an improper fraction, so I didnt know if youd need an improper one or a proper one. They both are the same thing though :)
Step-by-step explanation:
4/10*3
They both need to be a fraction, and any number over 1 = that number. So,
4/10*3/1
4*3=12
10*1=10
12/10
Then, you have to simplify the fraction.
6/5 (bc 2 goes into 12 6 times and 2 goes into 10 5 times)
or 1 2/10= 1 1/5
Hope this helps. Plz give brainliest. Also, plz sub to Kgirl633 on yt.