Answer:
c = 2.25
Step-by-step explanation:
f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.
The average slope is ...
m = (f(4) -f(1))/(4 -1) = (24 -12)/3 = 4
The point at which the derivative is 4 is ...
f'(c) = 6/√c = 4
√c = 6/4
c = 2.25
Answer:
the wire is 24 meters long , rounded to the nearest tenth it's 20 .
Answer:
p= 24
4p= 4(6) = 24
In a simplier way, 4 times 6
Step-by-step explanation:
Since the order of the books chosen doesn't matter, we use the combination formula to find the number of possible selections. Recall that a combination of k items from a set of n items is given by

.
In this problem, n = 8 and k = 3. So the number of possible selections is

. Thus the answer is 56.
Answer: 80°
Step-by-Step Explanation:
By Angle Sum Property of a Triangle, all angles in a Triangle add up to 180°
Finding the Value of ‘x’ :-
2x + 3x + 4x = 180
5x + 4x = 180
9x = 180
x = 180/9
=> x = 20
Finding each Angle :-
2x = 2(20) = 2 * 20 = 40°
3x = 3(20) = 3 * 20 = 60°
4x = 4(20) = 4 * 20 = 80°
Hence, the Largest Angle is 80°