Answer:
x^2(x + 2)/3 cubic inches
Step-by-step explanation:
The area of the square base is ...
B = x^2
The volume is given by ...
V = (1/3)Bh
where h represents the height, and B is the area of the base.
Using x+2 for the height, the volume of the pyramid is
V = (1/3)(x^2)(x +2)
V = x^2(x +2)/3 . . . cubic inches
Answer:
Step-by-step explanation:
The probability that Liu Yang makes a three-point shot in basketball is 10\%10%10, percent. For practice, Liu Yang will regularly shoot a series of these shots until she makes one. She's curious how many shots it will typically take her to get her first successful shot.
She simulated 303030 trials of three-point shots where each shot had a 0.10.10, point, 1 probability of being made, and in each trial, she counted how many shots it took to get the first successful shot. Here are her results:
Use her results to estimate the probability that it takes 111111 or more shots to get her first successful shot.
Give your answer as either a fraction or a decimal.
The last graph represents the function
H(f(x))=3(x^2+2)
h(f(x))=3x^2+6
g(h(f(x)))=(3x^2+6)^3+2
g(h(f(-1)))=(3(-1)^2+6)^2+2
g(h(f(-1)))=(3+6)^2+2
g(h(f(-1)))=81+2
g(h(f(-1)))=83