Answers
Answer:
12π
is the correct answer
Related Questions
Rackham Graduate School has 8,000 students (5,000 PhD students and 3,000 masters stu- dents). The Rackham Student Government Executive Board has 4 student members: a President, a VP of Operations, a VP of Finance, and a VP of Administration. Reminder: no need to simplify your answers in this homework (unless problem explicitly says to).
a) How many ways are there to choose the Exec Board from all Rackham students?
b) How many ways are there to choose the Exec Board so that there is at least one masters student and one PhD student? (for any of the 4 positions)
c) How many ways are there to choose the Exec Board if the VP positions have to be PhD students (the president can be either a PhD or Masters student)?
d) How many ways are there to choose the Exec Board so that there is at least one masters student VP?
Answers
Answer:
a) 8,000!/(8000 - 4)! ways
b) 15,000,000 + 7998!/(7998 - 2)! ways
c) 5,000 + 7,999!/(7,999- 3)! ways
d) 3,000 + 7,999!/(7,999- 3)! ways
Step-by-step explanation:
The number of students at Rackham Graduate School = 8,000 students
The number of PhD students = 5,000
The number of masters students = 3,000
The number of student members of the Rackham Student Government Executive Board = 4 students
a) The number of ways there are to choose the Exec Board from all Rackham students = The number of ways to choose 4 students from 8,000 = 8,000!/(8000 - 4)!
b) The number of ways of having one Master student in the board = 3,000 ways
The number of ways of having one PhD student in the board after selecting a masters student = 5,000 ways
The number of ways of selecting the remaining 2 members =
7998!/(7998 - 2)!
The total number of ways of selecting at least one masters and one PhD in the board is therefore equal to 5,000 × 3,000 + 7998!/(7998 - 2)! ways
c) The number of ways of choosing the VP position as PhD = 5,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 5,000 + 7,999!/(7,999- 3)! ways
d) The number of ways of choosing a masters student as the VP position = 3,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 3,000 + 7,999!/(7,999- 3)! ways
Look at the graph of the functions. Given the original function, what is a possible equation for the translated function, g(x)?
Answers
Answer: c
Step-by-step explanation:
HELP THIS IS DUE SOON
Answers
Answer:
the book has 40 pages
Step-by-step explanation:
so he has read 90 percent and has 4 pages left. So 10 percent is 4 pages.
10 times 10 is 100. 4 times 10 is 40. The entire book is 40 pages.
10 percent equals 4 pages
20 percent percent 8 pages
30 percent is 12 pages
40 percent is 16 pages
50 percent is 20 pages
60 percent is 24 pages
70 percent is 28 pages
80 percent is 32 pages
90 percent is 36 pages
100 percent is 40 pages
Mr. Gow needs to build a wheelchair access ramp for the school's auditorium. The ramp must rise a total of 3 feet to get from the ground to the entrance of the building. In order to follow the state building code, the angle formed by the ramp and the ground cannot exceed 4.75°.
Mr. Gow plans from the planning department that call for the ramp to start 25 feet away from the building code?
a. Draw an appropiate diagram. Add all the measurements you can. What does Mr. Gow need to find?
b. According to the plan in part (a), what angle will the ramp make with the ground? Will the ramp be to code?
c. If Mr. Gow builds the ramp exactly to code, how long will the ramp be? In other words, at least how far from the building must the ramp start in order to∞ meet the building code? Show all work.
(NOT A MULTIPLE CHOICE)
Answers
9514 1404 393
Answer:
a. see below for diagram. Angle for the length; length for the angle
b. 6.84°; not to code
c. 36.1 ft
Step-by-step explanation:
a. The diagram is shown below. Mr. Gow needs to find the angle it makes in order to determine if it is up to code. Alternatively, Mr. Gow needs to find the required length for a ramp that meets code.
__
b. The angle the ramp makes can be found using the tangent relation.
Tan = Opposite/Adjacent
tan(angle) = 3/25
angle = arctan(3/25) ≈ 6.84°
The ramp will make a 6.84° angle with the ground. It will not meet code.
__
c. We can find the distance from the building where the ramp must start using the same trig relation.
tan(4.75°) = (3 ft)/(distance)
distance = (3 ft)/tan(4.75°) ≈ 36.1 ft
The ramp must start 36.1 feet from the building to exactly meet code.
ABOVE answer is absolutely correct
Activity 1
Fill in the missing number:
1. 34 533; 35 533 ; 36 533; 37 533; 38 533
2. 6475; 6 490;
3 6 520; 6 235; 6 250.
3. 55 455; 55 470;
Answers
Answer:
3 6 520; 6 235; 6 250.
Find the perimeter and area of the triangle. Show all work.
31 yd
14 yd
28 yd
Answers
Tanner collected 360 cans and bottles while fundraising for his basketball team This was 40% less than what Reggie collected How many cans and bottles did Reggie collect?
Answers
Answer:
Reggie collected 504 cans and bottles.
Step-by-step explanation:
40%=.40
360*.40=144
360+144=504
Solve |3x – 2| = |x + 1| Question 12 options: A) x = 3∕2 or x = 1∕4 B) No solutions C) x = 3 or x = –4 D) x = 1∕4
Answers
Answer:
x = 3/2
Step-by-step explanation:
Step (1) :
We should put like term togther:
3x - x = 2 +1
2x = 3
Step (2) :
Divide bothe side by 2:
2x/2 = 3/2
x = 3/2
I need help asap please someone help
Answers
Answer:
yes,yes,no,yes
Step-by-step explanation:
How many joules of gravitational potential energy are stored in an object that has a mass of 8.5 kilograms and is held 2 meters above the surface of earth?
Answers
Answer:
I believe the answer is 166.6 Joules or (if rounding to the nearest whole number) 167 Joules.
Step-by-step explanation:
Here is the formula to find the gravitational potential energy of an object:
U = m * g * h (potential energy equals mass times gravitational acceleration * the height)
The mass is 8.5 kilograms, the height is 2 meters, and Earth's gravitational acceleration is always, no matter the other values or earthly situations, 9.8 m/s.
Now we solve:
8.5 * 9.8 * 2 = 166.6 which is rounded to 167 Joules.
Susan works at the local Department store. She makes a 2% commission on all sales. She sells jewelry worth $20,000. What is her commission
Answers
Answer:
I think it's 2000
Step-by-step explanation:
Write the fraction 28 in its simplest form.
70
Answers
Answer: 2/5
Step-by-step explanation: 28/70 ÷ 12/12 = 2/5
The simplest form of the given fraction is 2 / 5
What is a fraction?A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Given is a fraction, 28 / 70, we have to convert it into its simplest form,
28 / 70
= 2(14) / 5(14)
= 2 / 5
Hence, the simplest form of the given fraction is 2 / 5
For more references on fractions, click;
https://brainly.com/question/10354322
#SPJ2
The frog jumped 7/8 of a foot on the first jump and 2/3 of a foot on the second
jump. How many feet did the frog jump in total?
feet
Pls show mercy!!!!!
Answers
7/8 + 2/3
Gavin needs to buy candy for the 11 students in his class plus himself. Gavin and each student will get one bag of candy. He uses $20 to buy two different types of candy. Gavin buys x bags of gummy bears that cost $1.50 per bag and y bags of chocolates that cost $2.00 per bag. The system of equations used to represent this situation is graphed, as shown.
Answers
Answer:
20=1.50(6)+2.00(4)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Need answer to this urgently
Answers
Answer:
x=3
Step-by-step explanation:
25+134+4x+9+180
4x+168+180
4x+12
x=3
Jeff and George each have a box of popcorn. How much more popcorn does the bigger box hold than the smaller box?
Answers
Answer:
there in not enough information in your question to get an answer
Answer:
Part 1: Jeff Part 2: 130
Step-by-step explanation:
I need help plzzzzzzzzz
Answers
Answer is:
a= 90-70
=20
Answer:
The missing angle is 20°
Step-by-step explanation:
The square by the vertex indicates that this is a right angle. A right angle measures 90°. So what you can do is subtract the 70° from the 90°, to get 20°.
Hope this helps! Have a great day! :)
Angle measures 82.6° less than the measure of its supplementary angle. What is the measure of each angle
Answers
Answer:
131.3°, 48.7°
Step-by-step explanation:
Let x represent the larger angle. Then x-82.6 is the smaller one. Their sum is ...
x +(x -82.6) = 180
2x = 262.6
x = 131.3
x -82.6 = 48.7
The two angle measures are 48.7° and 131.3°.
Pls somebody that knows this answer it please
Answers
Answer:
Im pretty sure it is 48 but it could be 96
Step-by-step explanation:
I just found the area and halved that.
A researcher studies differences in career goals between boys and girls in middle school. All of the students in the seventh grade schools in a particular county answer a list of questions. What type of study is this?
A. Experiment
B. Sample Survey
C. Observational Study
D. Random Trial
Answers
Explanation:
When asking/answering questions like this, a survey is involved. It could be multiple choice or fill in the blank. Multiple choice may be the best way because it's easier to compare data results when you have only a few options. It also gives the computer an easier time too.
We aren't conducting an experiment since the researcher is not directly affecting the people, and instead letting them answer the questions without intervention. Also, note how we don't have two groups of treatment vs control. This is another indication we don't have an experiment.
An observational study is not being done here either. Yes the researcher is observing the survey results, but s/he is not making notes on the individuals before the survey is conducted (ie before the questions are asked). An example of an observational study is having the researcher make a tally of students' hair color. The researcher simply looks at each student, marks the correct tally, and doesn't need to ask the student a question. So you can see that the interactive question/answer portion is not present in an observational study.
The phrasing "random trial" is not a study type. When you hear "random trial" in the news, maybe for a new drug being developed, the news report is implying heavily that an experimental study had been done. This is true with all drug trials. One group is the treatment group that gets the actual drug, while the control group gets a fake drug. The control group thinks they get the actual drug, which is important because if they knew it was fake, then it would invalidate the study. I recommend researching the placebo affect for more information. The two group's results are then computed to see if the drug did in fact cause a change in the subjects or not. You would see this if there's a significant difference between the treatment and control group. Anyway, the "random trial" is not a study type but rather an aspect of an experimental study. It's possible your teacher put this in here to throw off students.
Use Euler’s formula to write -12 sqrt3 +12i in exponential form
Answers
Should be D on edge. 24e i 5pi/6, Or
649-14-07-00-00_files/i0150005,jpg(image name)
What is the slope of a line of best fit if its equation is y = −2x + 3?
−2
Negative 1 over 2
1 over 3
3
Answers
Answer:
-2
Step-by-step explanation:
y=m(slope)x+b(y axis)
26.) Using x as the unknown number, write the statement below as an equation.
The sum of twice a number and 7 is equal to the sum of the number and 6
Answers
Answer:
true
Step-by-step explanation:
How can you find f(4) if f(x)=7x^(2)-5
Answers
Answer:
107
Step-by-step explanation:
f(x)=7x^(2)-5
f(4) means that x=4
f(4)=7*4^(2)-5
= 7 * 16 -5
= 112 -5
= 107
express as a difference.
a.) 7+3
b.) a+5
c.) a+b
First correct answer is Brainliest.
Answers
b: 5+5
c: 5+5
thats thw andeer
Answer:
Step-by-step explanation:
15-5
a-(-5)
a-(-b)
What is 3r-2 ?? Algebra is not my strong suit
Answers
3r-2=0
3r=2 (added to both sides)
3r= 2/3
r=2/3 which is 0.6667 as a decimal
The bar graph shows the number of each kind of pet owned in Critter City. How many more cats are pets in Critter City than fish?
A)
5
B)
10
15
D)
30
Answers
Answer:
i need the photo to answer
Step-by-step explanation:
Use the distributive property to simplify the following expression: 3 (2 + 5z)
Answers
1) f(x) = 3*
f(x)
x
-1
0
1
2 3
Answers
1)f(×)=3*=f(×)=×-1 0 1=0.23
Marissa launches a toy rocket in her backyard. The path of the rocket is
modeled by the equation h = 18t - 3t, where h is the height in feet, and t is the
time in seconds since the rocket was launched.
Answers
Answer:
maybe u should have paid attention in class buddy
Step-by-step explanation:
L