Answer:
A. 3 < t < 9
Step-by-step explanation:
When the particle is moving to the right, the velocity is positive.
To find the velocity, take the derivative of s(t) with respect to t.
s(t) = -t³/3 + 13t²/2 − 30t
s'(t) = -t² + 13t − 30
Find when the velocity is 0.
0 = -t² + 13t − 30
0 = t² − 13t + 30
0 = (t − 3) (t − 10)
t = 3, 10
Check the sign of s'(t) in each interval.
0 < t < 3, s'(t) < 0
3 < t < 9, s'(t) > 0
The particle moves to the right when 3 < t < 9.
The answer is 147 because a triangles measures up to 360 degrees so u would add the two u have up and subtract that for 360 and u get 147
Answer: 1 2/3
Step-by-step explanation:
The expression to find the perimeter of a rectangle is 2(length + width)
Length = 1/3
Width = 1/2
Perimeter = 2( 1/3 + 1/2)
Lowest common factor = 6
Perimeter = 2 [ (2 + 3) / 6]
Perimeter = 2 [ 5/6]
Perimeter = 10/6
Perimeter = 1 4/6 = 1 2/3
This actually is a math problem! The answer is no more than 50% of your total income. For example, if your income is $834.26 a week, you're bringing home $3370.04. You would not want your expenses to exceed $1660.75. Therefore, the answer to your question is $1405.12.
