Answer:
Sₙ=3(1/2^n)
Step-by-step explanation:
Notice that in the given series that each term is being multiplied by 1/2, which is our common ratio. 3/2 is the first term because 3*1/2=3/2, so the expression that defines Sₙ is Sₙ=3(1/2^n)
Answer:
79,213,229 ft3
Step-by-step explanation:
The volume of a pyramid is given by the following formula:
Volume = (1/3) * B * h
Where B is the base area and h is the height.
The side of the base is 754 feet, so the base area is:
B = 754^2 = 568516 ft2
Then, the volume of the pyramid is:
Volume = (1/3) * 568516 * 418 = 79213229.33 ft3
Rounding to the nearest cubic foot, we have:
Volume = 79,213,229 ft3
Answer:
See explanation below
Step-by-step explanation:
a. f(x) is increasing at (-∞, 1] and [7, ∞) because f'(x) is positive at those intervals.
b. f(x) is concave up at [4, ∞) because the slope of f'(x) or f''(x) is positive.
The answer to the question is 1/5^3
5^5/5^8= 1/5^(8-5)= 1/5^3
There are 4 terms in the expression.
Terms are each of the entities.
4x, + 3y , -12x, +5
