Step-by-step explanation:
v(-2)= 12-2x(-2)-5
=12+4-5
=16-5
=11
v(0)= 12-2x0-5
= 12-0-5
=12-5
=7
v(5)= 12-2x5-5
= 12-10-5
=12-5
=7
<em><u>Hope </u></em><em><u>it </u></em><em><u>helps </u></em>
16 / 4 + 12 ___ 4 + 24/2
4 + 12 ___ 4 + 12
16 __ 16
u need an equal sign because 16 = 16
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)
200!!!! because it’s 5x20 in each triangle and you divide by 2 so 5x20 is 100 and 100 divided by 2 is 50 and there are 4 squares so 50 x 4 and you get 200 hope that helped!!
New pump:
5 hours = 1 pool
1 hour = 1/5 pool
Old pump:
15h = 1 pool
1h = 1/15 pool
If both work together
1h = 1/5 + 1/15 = 4/15 pool
4/15 pool = 1 hour
1/15 pool = 1/4 hour
15/15 pool = 1/4 x 15
1 pool = 3.75 hours or 3 hours 45 mins
