Answer:
It represents a linear function and there will be 216 ants after 1 year
That means that head was the most one to appear than tails
So to solve for x, you'll need to combine all the angles and equal it to 720, and from there we can solve.

Combine like terms to get

Subtract 470 on each side to get

Then just divide on each side and you'll get

To find the value of the (x+10) angle, just substitute 125 for x and solve.
Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4
Answer: 1. f(x) = sin(x - π) - 4
Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in
Answer: 3. (31π)/5
Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π
From the graph, the rate of change of g(x) is
3/(π/2) = 6/π
Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change
Answer: h(x)
Answer:
its the first question i think it might be wrong idk
Step-by-step explanation:
because when you find the area you multiply two sides so you have to add 10 and 5 and then multiply it by 18