Answers
Answer:
Simplified expression: [tex]\frac{1}{y+8 }[/tex].
The value of y that makes the expression undefined is y=-8.
Step-by-step explanation:
[tex]\frac{2y^{3}}{2y^{4}+16y^{3}}[/tex]
= [tex]\frac{2y^{3}}{2y^{3}(y+8) }[/tex]
(cancel out 2y³)
=[tex]\frac{1}{y+8 }[/tex]
A rational expression is undefined when the denominator (bottom number) is zero. So, if y equalled -8, the expression would ultimately equal [tex]\frac{1}{0}[/tex], which is undefined.
Related Questions
Of interest is to determine the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams. A simple random sample of 31 students enrolled in graduate programs was selected, and the age of each student when they took the comprehensive exam was recorded. The mean age at the time of taking the comprehensive exam for this sample of 31 students was 27.5 years with a standard deviation of 2.9 years; there were no outliers in the sample that would lead one to suspect heavy skewness in the distribution. If appropriate, use this information to calculate and interpret a 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams. Use this information to answer questions 3-5
Answers
Answer:
The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 31 - 1 = 30
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.457
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.457\frac{2.9}{\sqrt{31}} = 1.3[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 27.5 - 1.3 = 26.2 years
The upper end of the interval is the sample mean added to M. So it is 27.5 + 1.3 = 28.8 years
The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.
middle school math problem
Answers
Answer:
part b is 32
Step-by-step explanation:
x=?.........................
Answers
Answer:
x = 58°
Step-by-step explanation:
Length of tangents drawn to a circle from a point outside the circle, are equal in measure.
By using this property,
Two tangents PQ and PR will be equal.
And angles opposite to these sides will be equal.
Therefore, ∠PQR ≅ ∠PRQ
By triangle sum theorem,
m∠PQR + m∠PRQ + m∠QPR = 180°
x° + x° + 64° = 180°
2x = 180 - 64
2x = 116
x = 58°
HELP THIS IS DUE SOON
Solve the linear equation determine whether it’s one solution or infinite or no solution
2(3+2x) = 10
Answers
Answer:
One solution, x=1
Step-by-step explanation:
isolate the variable
Answer:
one solution x=1
Step-by-step explanation:
2(3+2x)=10
6+4x=10
4x=4
x=1
<3
Please someone help! Will give brainiest! Struggling to understand!
Answers
Answer:
Part AInitial population = x, Population after 5 years = 3542Decrease rate = 8.4%Required formula:
x*(1 - 0.084)^5 = 3542x*0.6448 = 3542x = 3542/0.6448x = 5493Part BThe equation is:
E(t) = 5493*0.916^t, where E(t)- population of elk after t years Part C3000 = 5493*0.916^t0.916^t = 3000/54930.916^t = 0.5461log 0.916^t = log 0.5461t = log 0.5461 / log 0.916t = 6.9 years (rounded)A bookstore keeps track of books sold in one day? Approximately how many books sold were hardcover nonfiction?
Answers
Answer:
27%
Step-by-step explanation:
The total books sold were 182 and the amount of books sold that were nonfiction hardcover were 49 as represented in the frequency table.
To find the percentage we must divide the nonfiction hardcover by the total books.
49/182≈0.269 or 0.27
Multiply the decimal by a 100 to change it into a percentage, so our answer is 27%.
Answer:a 27%
Step-by-step explanation:
Plz help me well mark brainliest if correct!
Answers
Answer:
correct point b would be the right answer
Answer:
Point B is Ur answer.
The Venn diagram below shows the 9 students in Mr. Perez's class
The diagram shows the memberships for the Computer Club and the Spanish
Note that "Ivan's outside the circles since he is not a member of either club.
One student from the class is randomly selected
Let A denote the event the student is in the Computer Club.
Let B denote the event the student is in the Spanish Club. (a) Find the probabilities of the events below. Write each answer as a single fraction.
Answers
Solve the proportion.
4
y
=
7
?
y =
Answers
Answer:
y=28/5
Step-by-step explanation:
Okay so for this we can use cross- multiplication. Basically, the product of the numerator of the first number and the denominator of the second is equal to the product of the denominator of the first and the numerator of the second.
What I mean is: 4*7=5*y
so,
28=5y
y=28/5
17. Oranges cost 25 cents for 1/2 kilogram. How much would 8 kilograms of ornages cost? Show all of your work. Make sure to include your answer, proof, and evidence. PLZ NEED ASAP
Answers
9514 1404 393
Answer:
$4.00
Step-by-step explanation:
We assume the price is proportional to the quantity of oranges. If p is the desired price in dollars, we want ...
p/8 = 0.25/(1/2)
p = 8(0.50) = 4.00 . . . . multiply by 8, simplify
8 kg of oranges would cost $4.00.
An athletic coach conducted an experiment to test whether a four-week stretching and flexibility program reduces the number of muscular injuries that occur during athletic events. The coach randomly selected 30 athletes from several sports and randomly assigned 15 athletes to the four-week program. The remaining 15 athletes did not participate in any type of flexibility program during the four weeks.
Which statements about this study are true?
This study uses random sampling.
This study uses a control group.
This study uses a repeated measures design.
This study uses blocking.
This study uses blinding.
Answers
The TRUE statements about the study described above are :
• USE OF RANDOM SAMPLING
• USE OF A CONTROL GROUP
When selection from a population is performed such that all subjects in the population have equal chance of being selected, then we have a random process, the 30 selected athletes we're chosen without bias.
Also, when a certain group used in a research aren't subjected to the treatment process if the research, but are only used to compare the behavior of the TREATMENT group, then such group are called the CONTROL group. Hence, the 15 athletes who did not participate in any of the flexibility program are the control group.
The research doesn't exhibit any blinding or blocking procedure as it does not hide any information or contain an undesired variable.
Therefore, the TRUE statements are the study makes use of RANDOM SAMPLING AND A CONTROL GROUP.
Learn more : https://brainly.com/question/14735769
Answer:
This study uses random sampling.
Step-by-step explanation:
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helppp i’ll give brainlest
Answers
Answer:
16square ft
Step-by-step explanation:
2x2+2x3x1/2x4=16 square ft
Area of base: 2x2
Area of one side of the triangular prism: 1/2xbasexheight=1/2 x2x3
Donna, Austin, and goran have a total of $84 in their wallets. Donna had $6 less than goran. Austin has 3 times what goran has. How much does each have?
Answers
Answer: Goran = 18, Donna = 12, Austin = 54
Step-by-step explanation:
x + x - 6 + 3x = 84
5x - 6 = 84
5x = 90
x = 18
Hope this helps!
At a Marine Corps military base there is a barbershop where the actual output from each chair is 12 haircuts per hour. It operates with an efficiency of 85%. If the base needs to have 650 haircuts a day how many barber chairs should there be if the barber shop is open 10 hours per day
Answers
Answer:
Barbers= 5.41= 6 barbers
Step-by-step explanation:
Giving the following formula:
Haircuts per hour= 12
Number of hours= 10
Haircuts needed= 650
First, we need to calculate the number of haircuts each barber can make per day:
Haircuts per barber a day= 12*10= 120 haircuts
Now, the number of barbers needed:
Barbers= total haircuts / haircuts per day
Barbers= 650/120
Barbers= 5.41= 6 barbers
Please take your time.
Answers
Answer:
4
Step-by-step explanation:
12+8 = 20
20/5 = 4
Which value is NOT equivalent to the others
PLS HELP :(
Answers
Answer:
Its 3 on top of 4
Answer:
The top right one
Step-by-step explanation:
4x4(2)
Determine which of the two acute angles has a sine of 5/11 (click photo)
Answers
Answer:
A
Step-by-step explanation:
sin: [tex]\frac{opposite}{hypotenuse}[/tex]
sin: [tex]\frac{CB}{AC}[/tex] = [tex]\frac{5}{11}[/tex]
For triangle ABC, sin(A) = 5/11
What is acute angle?"If the angle measure less than 90° then it is an acute angle."
What is sine theta?For a right triangle,
sin(theta) = opposite side/hypotenuse
where theta is an acute angle.
For given example,
we have been given a right triangle ΔABC
Since ∠B = 90°, ∠A and ∠C must be an acute angles.
⇒ sin(A) = BC/AC
⇒ sin(A) = 5/11
and sin (C) = AB/AC
⇒ sin(C) = (4√6)/11
Therefore, sin(A) = 5/11
Learn more about sine of angle here:
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A credit card advertises an annual interest rate of 23%.
What is the equivalent monthly interest rate?
Answers
Which choice is equivalent to the fraction below?
6/17
A. 17 divided 6
B. 6 - 17
C. 6•17
D. 6 divided 17
Answers
Answer:
6 divided 17 is equivalent to 6/17
i really need help on this please
Answers
Answer:
(1,5)
Step-by-step explanation
Subtract one equation to get rid of 5x. You will get -2y-6y=-5-35. y=5. Plug in y and find x. The answer is x=1, y=5.
How would i be able to prove that LMNQ is a square
Answers
Answer:
B
Step-by-step explanation:
Two high schools have a similar number of students and parking lots of similar size. The safety officers at both schools want to investigate whether there is an average difference in the number of cars parked per day in the student parking lots for the school year. A random sample of 15 school days will be selected. For each selected day, the number of cars parked in the student parking lots will be counted at both schools and the difference will be recorded. Assuming all conditions for inference are met, which of the following is the appropriate test for the investigation?
a. A two-sample 2-test for a difference between proportions
b. A two-sample t-test for a difference between means
c. A matched-pairs t-test for a mean difference
d. A chi-square test of homogeneity
e. A chi-square test of independence
Answers
Answer: c. . A matched-pairs t-test for a mean difference
Step-by-step explanation:
Based on the information given in the question and assuming all conditions for inference are met, the appropriate test for the investigation will be a matched-pairs t-test for a mean difference.
Since a matched-pairs t-test can be used to determine if a significant mean difference exist between two paired data, then this will be appropriate in this case since the safety officers at both schools want to know if there's an average difference in the number of cars parked per day in the student parking lots for the school year.
The appropriate test for the investigation of the given case is done by: Option C: A matched-pairs t-test for a mean difference
When to use the matched pair t test and when to use the t test?When there has to be done comparison between means of two sets of paired data, then we use matched pair t test.
For the given case the investigation is to know whether there is an average difference in the number of cars parked per day in the student parking lots for the school year for both the schools in consideration.
So there are two data sets and comparison of their mean is to be done.
Thus, the appropriate test for the investigation of the given case is done by: Option C: A matched pairs t-test for a mean difference.
Learn more about matched pair t-test here:
https://brainly.com/question/14690592
Which one doesn't belong?
4(x+3)=9
4+3x=9
4*x+12=9
9=12+4x
Answers
While
The other ones are equal to -0.75 or -3/4
Find the measure of the missing angle
Answers
The angle is 90 because that' s a right angle.
Answer:
50
Step-by-step explanation:
that is a right angle so 90 degrees
so you could do
90-40=50
hope this helps:)
Your favorite cousin bought a brand new couch during the holidays and decided to finance the purchase $2,800. She signed a contract for a 2 year loan, which compounds daily at 24.9%. What is the monthly payment that she can expect to make? (Select the closest number)
Answers
Answer:
56 dollars
Step-by-step explanation:
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Answers
Answer: 8 inches squared
Step-by-step explanation:
volume formula for cube: side length^3 (in this case it would be 2^3)
2^3 = 2 x 2 x 2 = 8
2^3 = 8 is your answer
1. At a clothing store, Zoey bought 2 shirts for $7.25 each and 2
pairs of jeans for $24 each. She used a coupon for $10 off the
total price of the clothes. The discounted price of the clothes Zoey
bought can be found using this expression.
[2(7.25) + 2(24)] - 10
What is the discounted price in dollars and cents of the clothes
Zoey bought?
In order to receive full credit on this question you must show your
calculations. You may NOT use a calculator. Show EACH step.
Answers
Answer:
52.5 is the discounted price.
Step-by-step explanation:
(2 · 7.25 + 2 · 24) - 10
(14.5 + 2 · 24) - 10
(14.5 + 48) - 10
62.5 - 10
= 52.5
I had solved the expression you had provided, receving 52.5 as the discounted price in dollars. The work is above. Hope this helped!
Respond Quick PLZ help me out determines if I fail
Answers
Answer:
1. infinite many solutions
2. With solution: x+y=7 ,2x+y=6
Without solution: x+y=8 ,x+y=9
Infinite solution: x+y=3, 2x+2y=6
Step-by-step explanation:
By the way, can you follow me?
Thanks!
What is the mean absolute deviation of 35 38 41 35 36 55
Answers
Answer:
7.8333
Step-by-step explanation:
Completed Attempt 1
2
x
4
6
9
10
This net will be folded to form a prism.
C.
A
B.
С
D
E
F
Which pairs of faces will be opposite one another when the prism is created? Check all that apply.
D and F
A and C
A and B
Answers
Answer:
A & C
B & E
D & F
Step-by-step explanation:
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