Answer- -(x-4)(3x-5)
Work- -3x^2+12x+5x-20
-3x(x-4)+5(x-4)
Total fruit: 6 + 4 +2 = 12
Probability of Picking a banana is 6/12 = 1/2
Probability pf picking apple is 4/12 = 1/3
Probability of picking orange is 2/12 / 1/6
Picking an orange = 1/6
vi is going in the positive direction (up). (That's my choice). a (acceleration) is going in the minus direction (down). The directions could be reversed.
Givens
vi = 160 ft/s
vf = 0 (the rocket stops at the maximum height.)
a = - 9.81 m/s
t = ????
Remark
YOu have 4 parameters between the givens and what you want to solve. Only 1 equation will relate those 4. Always always list your givens with these problems so you can pick the right equation.
Equation
a = (vf - vi)/t
Solve
- 32 = (0 - 160)/t Multiply both sides by t
-32 * t = - 160 Divide by -32
t = - 160/-32
t = 5
You will also need to solve for the height to answer part B
t = 5
vi = 160 m/s
a = - 32
d = ???
d = vi*t + 1/2 a t^2
d = 160*5 + 1/2 * - 32 * 5^2
d = 800 - 400
d = 400 feet
Part B
You are at the maximum height. vi is 0 this time because you are starting to descend.
vi = 0
a = 32 m/s^2
d = 400 feet
t = ??
formula
d = vi*t + 1/2 a t^2
400 = 0 + 1/2 * 32 * t^2
400 = 16 * t^2
400/16 = t^2
t^2 = 25
t = 5 sec
The free fall takes the same amount of time to come down as it did to go up. Sort of an amazing result.
Answer:
False
Step-by-step explanation:
a linear function is always in the form y=(f)x=bx+a
That means that there will not be one set answer and the line can be graphed. Your question is an equation, but not a linear one because there is only one set answer which would be 17/2=8.5.
Answer:
Peter ran 33 laps.
Step-by-step explanation:
Multiply Evelyn's 44 laps by 75% or 0.75 to get your answer.
44(0.75)=33
