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
Answer:
(0.7, -1)
Step-by-step explanation:
To find the coordinates for the midpoint you add each coordinate together and divide by 2.
M = (
)
M = 
M = (0.7, -1)
Answer:
the fourth option
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability of choosing a red spiral = number of red spiral / total sum of spirals in the bag
1st option = 2 / 4 = 1/2
2nd option = 4/8 = 1/2
3rd option = 2/3
4th option = 2/6 = 1/3
the fourth option is correct
Answer:
2000
Step-by-step explanation:
Increase 1000 by 1000 in addition.
Modeled in an equation, the situation is 1000 + 1000.
1000 + 1000 = 2000
Hello :D
To work this out you need to round the numbers to a whole number.
19.9 = 20
5.8 = 6
20 x 6 ≈ 120
I hope this helps :)