2(x - 4) + 7(x + 4)
(2x - 2 • 4) + (7x + 7 • 4)
9x + 20
The answer is 173 ft²
The area of the patio (A) is half of the area of the circle (A1) with a diameter of 21 ft:
A = A1/2
The area of the circle with radius r is:
A1 = π * r²
π = 3.14
We do not have the radius, but we know that it is a half of the diameter:
r = 21 ft / 2 = 10.5 ft
A1 = 3.14 * (10.5)² = 346.18 ft²
So, the area of the patio is:
A = A1/2
A = 346.18 ft² / 2
A = 173.09 ft² ≈ 173 ft²
Answer:
Therefore the period of the sinusoidal wave = 3.14.
The amplitude of the function = 2.
Step-by-step explanation:
The period of a sinusiodal wave is given by the length of x axis which covers one full cycle of the wave, which one positive half-cycle and one negative half cycle.
From the graph we can see that one of the cycles starts at -3.14 / 4 and ends at 3.14
3/4.
Therefore we can sutract the start point value from the end point value to get the period
Therefore period = (3.14
3/4) - (-3.14 / 4) = (3.14
3/4) + (3.14 / 4) = 3.14
Therefore the period of the sinusoidal wave = 3.14.
The amplitude of the function = 2.
Im not an expert or anything, but i think for the innequality, i would say

as far as the amount of people she can invite, do 500-100=400 because of the setup fee, then, to find how many people she can invite. 400÷6.50 which leaves you with the highest amount of people she can invite without going over budget, as 61.
Answer:
The correct answer is C.
Step-by-step explanation:
In order to solve this problem, you need to simplify the equation by using a natural log (ln). This will cancel out the e and make it easy to solve.
e^(2x + 5) = 4 ----> Take the ln
lne^(2x + 5) = ln(4) ------> Simplify
2x + 5 = ln(4) ------> Subtract 5
2x = ln(4) - 5 -----> Divide by 2
x = [ln(4) - 5]/2