S(t) = sin(πt/6) + cos(πt/6)
Velocity = s'(t) = π/6 (cos(πt/6) - sin(πt/6))
When velocity = 0
cos(πt/6) - sin(πt/6) = 0
cos^2(πt/6) -2cos(πt/6) sin(πt/6) + sin^2(πt/6) = 0
1 - 2cos(πt/6) sin(πt/6) = 0
1 - sin(πt/3) = 0
sin(πt/3) = 1
πt/3 = arcsin(1) = π/2
t = 1.5
acceleration = s''(t) = -(π/6)^2 (cos(πt/6) + sin(πt/6))
s''(1.5) = -(π/6)^2 (cos(π/4) + sin(π/4)) = -(π/6)^2 (2/√2) = -0.3877
accerelation = -0.3877 meter/s^2
Graph the inequalities to find the vertices of the shaded region: (2, 3) and (8, 0).
Now, evaluate the the function C = x + 3y at those vertices to find the minimum value.
C = x + 3y at (2, 3) ⇒ C = (2) + 3(3) ⇒ C = 2 + 9 ⇒ C = 11
C = x + 3y at (8, 0) ⇒ C = (8) + 3(0) ⇒ C = 8 + 0 ⇒ C = 8
The minimum value occurs at (8, 0) with a minimum of C = 8
Answer: A
First you need to find the amount of students who voted.
80 + 160 = 240
160 students out of 240 students who voted, voted for a bulldog. To find the percentage, you need to divide 160 by 240.
160/240 = .6 repeated
You need to move the decimal over two spaces to get the percentage. So then you have 66.6666%. Since it says to round to the nearest whole percent, you need to round the number right after the decimal. 6 rounds the number before it up so you get 67.
So the amount of students that voted for a bulldog is 67%.
Answer: 8
Step-by-step explanation: Substituting x for 2 since we know the value, 4(2) is 8.
Answer:
Step-by-step explanation:
The answer is 1 and 3
