Answer:
Therefore the value of c is 
.
Step-by-step explanation:
Mean value Theorem:
Let a function f:[a,b]
be such that
- f is continuous on [a,b], and
- f is differentiable at every point of (a,b).
Then there exists at least a point c in (a,b) such that
Given function is
1.
f is continuous on its domain, which includes [4,5]
f is continuous on [4,5]
2.
which exists for all x≠0. So, x exits in (4,5).
f is differentiable at every point of (4,5).
All hypotheses of Mean Value Theorem are satisfied by this function .
So, there exits a point c such that
[ plugging x= c in f'(x) to find f'(c)]
Since 
(4,5)
Answer: ∠A > ∠ F and ∠L < ∠R
Step-by-step explanation:
Since, In a triangle if the opposite side of the angle increases then the angle will increases.
That is, the angle that have the greatest opposite side is the greatest angle of triangle.
Here In triangle ABC and DEF,
BC > DE ( by the given diagram)
Where BC and DE are the opposite sides of angle of ∠A and ∠F respectively.
Therefore, ∠A > ∠ F
Now, In triangles RST and LMP,
ST > MP ( by the given diagram)
where ST and MP are the opposite sides of angles R and L respectively.
Therefore, ∠ R > ∠L
I would say solve each diameter equation and order them fromleast to greatest, for example
1 Venus- 7.52×10 to the power of 3
So first simplify 10 to the power of 3 which is, 1000. Then you multiply 7.52 by 1000 which gets you 7520.
So solve each equation and order it
Answer:
B
Step-by-step explanation:
Using the law of sines, we can make a proportion.
But first, we'll need to solve for the unknown angle.
We add up the two known angles and subtract that by 180.
90 + 41 = 131
180 - 131 = 49
So the unknown angles is 49.
Then, we can use the law of sines.
Make the equation.
sin(90)/55 = sin(49)/x
Simplify this using a calculator and you get around 41.51 or option B.
Take the amount of rows in the auditorium, 15, and multiply that by the number of new seats in each row, 3. You get 45. Now multiply the number of new seats, 45, by the cost of each seat, $74. You get $3,330.
