Answer:
C. 14
Step-by-step explanation:
F(x) = ∫₀²ˣ √(t³−15) dt
Use second fundamental theorem of calculus:
F'(x) = √((2x)³−15) d/dx (2x)
F'(x) = 2 √(8x³−15)
Evaluate at x=2:
F'(2) = 2 √(8×2³−15)
F'(2) = 2 √(64−15)
F'(2) = 2 √49
F'(2) = 14
Answer:

Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to

we have

step 1
Find the distance AB
we have

substitute in the formula



step 2
Find the distance BC
we have

substitute in the formula



step 3
Find the distance DE
we have

substitute in the formula




step 4
Find the distance AE
we have

substitute in the formula




step 5
Find out the area of the four walls
To determine the area sum the length sides and multiply by the height of the walls
so

substitute the given values
The height of the walls is 10 ft



step 6
Determine the number of gallons needed to paint the four walls
we know that
one gallon of paint is enough to cover 400 square feet
using proportion

Round up

"The mean study time of students in Class B is less than students in Class A" is the statement among the following choices given in the question that is true for the data sets. The correct option among all the options that are given in the question is the second option or option "B". I hope the answer helped you.
Answer:
Step-by-step explanation:
1) find the total candies
7 + 8 + 5 + 9 = 29
2) a probability can be expressed with a fraction whose denominator is the total candies, while the numerator represents the candies that we want to find
- red = 7/29
- blue = 8/29
- yellow = 5/29
- green = 9/29
3) compound probability
(red + blue)/29 = 15/29
(yellow + green)/29 = 14/29
(blue + yellow + green)/29 = 22/29