Hi there!
We can begin by making each fraction have a common denominator:
If we make each have a common denominator of ab, we get:
Simplify:
Multiply both sides by ab:
Move b to the opposite side:
Factor out b:
Divide by (ac - 1):
Average rate of change can be calculated by determining the
rate of change at x = a, and at x = b
f’(x) =2 (3^x) ln(3)
f’(0) = 2 ln(3)
f’(1) = 6 ln(3)
f’(2) = 18 ln(3)
f’(3) = 54 ln(3)
Average:
at section A = [6 ln(3) – 2 ln(3)]/1 = 4 ln(3)
at section B = [54 ln(3) – 18 ln(3)]/1 = 36 ln(3)
section B is 9 times larger.
Based from the f’(x), f’(x) varies as the power of x. so the
greater of value of x, the greater the rate of change.
Answer: 50% of the sandwiches were turkey, 30% were veggie and 20% were tuna.
Step-by-step explanation: The total number of sandwiches sold was 50 in all.
The sales according to type of sandwich were as follows;
25 Turkey
15 Veggie
10 Tuna
50 Total
Since there were 50 sandwiches sold and of these 25 were turkey sandwiches and another 15 were veggie sandwiches, then the remaining which is tuna sandwich is derived as 50 - [25 + 15] which equals 10.
To calculate the percentage per type of sandwich sold;
(a) Turkey is derived as
Percentage turkey = (25/50) x 100
Percentage turkey = 1/2 x 100
Percentage turkey = 50%
(b) Veggie is derived as
Percentage Veggie = (15/50) x 100
Percentage Veggie = (3/10) x 100
Percentage Veggie = 30%
(c) Percentage tuna = (10/50) x 100
Percentage tuna = 1/5 x 100
Percentage tuna = 20%
Hey!
Diameter is ½ of the radius. To find the radius when you have the diameter, divide by 2.
For example, if the diameter is 12, the the radius would be:
<em>That means your answer will be C.</em>
