Answer:
28.26
Step-by-step explanation:
the equation for circumference is 2pi*r or pi*d
3.14*9 (the diametre) is 28.26
Answer 28.26
Answer:
Kyle’s fixed monthly salary in dollars is $1800
Step-by-step explanation:
let a be the fixed monthly salary
let b% represent the fixed percentage of sales
a+(b%*15000)=2550
a+(b%*25000)=3050
a+(b/100*15000)=2550
a+150b=2550
a+(b/100*25000)=3050
a+250b=3050
now we have
a+150b=2550
a+250b=3050
let subtract a+150b=2550 from a+250b=3050
100b=500
b=500/100=5%
then a+(5%*15000)=2550
a+750=2550
a=2550-750=$1800
vi is going in the positive direction (up). (That's my choice). a (acceleration) is going in the minus direction (down). The directions could be reversed.
Givens
vi = 160 ft/s
vf = 0 (the rocket stops at the maximum height.)
a = - 9.81 m/s
t = ????
Remark
YOu have 4 parameters between the givens and what you want to solve. Only 1 equation will relate those 4. Always always list your givens with these problems so you can pick the right equation.
Equation
a = (vf - vi)/t
Solve
- 32 = (0 - 160)/t Multiply both sides by t
-32 * t = - 160 Divide by -32
t = - 160/-32
t = 5
You will also need to solve for the height to answer part B
t = 5
vi = 160 m/s
a = - 32
d = ???
d = vi*t + 1/2 a t^2
d = 160*5 + 1/2 * - 32 * 5^2
d = 800 - 400
d = 400 feet
Part B
You are at the maximum height. vi is 0 this time because you are starting to descend.
vi = 0
a = 32 m/s^2
d = 400 feet
t = ??
formula
d = vi*t + 1/2 a t^2
400 = 0 + 1/2 * 32 * t^2
400 = 16 * t^2
400/16 = t^2
t^2 = 25
t = 5 sec
The free fall takes the same amount of time to come down as it did to go up. Sort of an amazing result.
Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the sample mean, 
is the null hypothesis value, 
is the standard deviation and n is the size of the sample.
In this problem:
So
The value of the test statistic is
The answer is D cause 1/4 of 33$ is 8.25 so you do 33+33+33 which is 99 then you multiply that by 6 which is 594 then you multiply 8.25 by 3 to account for all the workers then add that to 594 and then you get your answer which is 618.75
