Answers
Hope this is right
Related Questions
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
Answers
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
The shape made when a solid is cut through parallel to the base is called a ____________.
Answers
Answer:
Whatever the base of the shape is, that's the answer
Step-by-step explanation:
For example: a triangular prism cut through parallel to the base would be a triangle
Evaluate by removing the radical sign and negative indices wherever it occurs: z2
= .04
Answers
Lana owns an office supply shop. At the beginning of each school year, she chooses two or three products to donate to the local middle school.
1. The table shows the school supplies that Lana has in her shop and how many of each kind she has in stock. Lana is considering different options of supplies to donate. For each option, determine the greatest number of identical boxes she could pack and the number of each supply item she could put in the boxes.
A. Option 1: Packages of pencils and erasers.
B. Option 2: Notebooks and Folders
C. Option 3: Erasers, packages of markers, and folders.
**ANSWER B4 3:00PM**
Answers
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
Choose the graph of the solution to the inequality c – 12 ≥ –16.
A. A number line with a closed dot at negative 4, shaded to the right.
B. A number line with a closed dot at 4, shaded to the left.
C. A number line with a closed dot at 4, shaded to the right.
D. A number line with a closed dot at negative 2, shaded to the right.
Answers
Answer: C
Step-by-step explanation:
\(C-12\geq -16\)
+12 +12
C \(\geq\) -4
Since there is a line under the symbol, that means a closed dot. Since C is greater than or equal to -4, it is shaded to the right.
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
I only have two questions from my homework that I don't have done, and I need a bit of help, please end thank you!
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Creating a story : Use this image to answer the following question.
Create a story to describe the movement in the frames above.
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Is this correct please elaborate!!! Tell me if it’s wrong!!
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EXPLANATION
Because rational numbers are the ones which are written in the form of whole fraction, fraction or decimal therefore a and c is the right answer :)
Which best describes the error in finding the surface area of the cylinder?
T^T
Answers
Answer:
They only put 1 base instead of 2 bases, so its D
the real answer is 156pi = 489.84
Step-by-step explanation:
A recipe calls for 2/3 cup of butter to make 2 1/2 cups of sauce. What would be the amount of butter needed to make 10 cups of sauce?
A. 1 1/3 cups
B. 2 cups
C. 2 2/3 cups
D. 3 1/6 cups
Answers
Answer:
make me brainliest
Step-by-step explanation:
10/2.5=4
4 times 2/3=2.6 recurring
so 8/3=2 2/3
The answer is 2 2/3
Sorry if I’m wrong have a nice day :)
The measures of the angles in an equilateral triangle are equal.
What is the measure of each angle of an equilateral triangle?
A.
30°
B.
45°
C.
60°
D.
90°
Answers
Answer:
c.60°is the measure of each angle of an equilateral triangle.
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
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By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)
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HELPPPP
1. If f(a) = 3a – a2, which of the following are not true statements?
Select all that apply.
f(-5) = -40
f(4) = -4
f(-1) = 2
f(0) = 3
f(3) = 0
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Answer:
f(-1) and f(0) are not true
Two brothers are planning to build a shed. The plan says they need 30 pieces of ply wood, 20 packs of bricks, and 6 packs screws/nails. The brothers need to now if they can afford it all.
25.00 for 1 ply wood
2.00 for 1 brick
20.00 for 1 pack of screws
The brothers have 890.20 dollars. Do they have an enough to build the shed?
Explain your answer and show your work.
Answers
Answer:
They need $910 in total for all the supplies but they only have $890.20, so no they don’t have enough.
Step-by-step explanation:
30 pieces of plywood x $25.00 per ply wood = 30 x 25= 750
20 packs of bricks x $2 per brick= 20 x 2= 40
6 pack of screws x $20 per pack = 6 x 20= 120
750 + 40 + 120= 910
EASYY please help asap!!
what is the length of side x
answer options
8
5
6
10
Answers
Answer:
6
Step-by-step explanation:
8 - 2 = 6
So, x = 6
PLEASE HELP! DUE TODAY
Zeke is filling a putt-putt square with fake grass. He measured and found it to be 9 meters long. What is the area of the putt-putt course?
A. 81m²
B.36m²
C.81m
D.36m
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Length x Width or 9x9=81
Please be specific with this question. Like say option if you’re referring to it’s order and answer if you’re referring to the actual number answer.
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Answer:
0.016
Also:
plz mark me brainiest plz other people wouldn't do it plz :(
0.016 it was not my doing
For which experiment are the elements of the dataset most likely to be measured in liters?(1 point)
Responses
Thaddeus asks his friends how far they live from the local library.
Thaddeus asks his friends how far they live from the local library.
Tracey asks her friends to estimate the weight of a bucket full of water.
Tracey asks her friends to estimate the weight of a bucket full of water.
Lora asks her neighbors how much water they drink each day.
Lora asks her neighbors how much water they drink each day.
Ingram asks the local fire department how long it takes them on average to put out a fire.
Answers
Answer:
None of the experiments given in the responses is most likely to be measured in liters.
However, if we assume that the question is about experiments that are most likely to involve measuring liquids in liters, then the experiment for which the elements of the dataset are most likely to be measured in liters is:
Lora asks her neighbors how much water they drink each day.
In this experiment, the variable being measured is the volume of water consumed by each person in liters per day.
Step-by-step explanation:
Thaddeus asks his friends how far they live from the local library.
The variable being measured in this experiment is distance, which is typically measured in units such as meters, kilometers, or miles. Liters are used to measure volume, and therefore, it is unlikely that the elements of the dataset would be measured in liters.
Tracey asks her friends to estimate the weight of a bucket full of water.
The variable being measured in this experiment is weight, which is typically measured in units such as grams or pounds. While the bucket contains water, the variable being measured is weight and not volume, so it is unlikely that the elements of the dataset would be measured in liters.
Lora asks her neighbors how much water they drink each day.
The variable being measured in this experiment is the volume of water consumed by each person in liters per day. This experiment is the most likely of the given options to involve measuring liquids in liters, as it directly measures the volume of water consumed.
Ingram asks the local fire department how long it takes them on average to put out a fire.
The variable being measured in this experiment is time, which is typically measured in units such as seconds, minutes, or hours. Liters are used to measure volume, and therefore, it is unlikely that the elements of the dataset would be measured in liters.
Pls, help! A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.
1/3; 2/3
1/2; 1/2
5/6; 1/2
1/6; 5/6
Brainlist for positive attitude and correct answer :D
Answers
Answer: The correct answer is:
Probability of rolling a number less than 3: 2/6 or 1/3
Step-by-step explanation:
Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.
Probability of not rolling a number less than 3: 4/6 or 2/3.
Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D
Which residual plots indicate that the original data set has a linear relationship? Check all that apply
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Answer: A, B and E
Step-by-step explanation:
A residual values should be equally and randomly spaced around the horizontal axis. If the plot looks like any of the images in C and D, then the data set is probably not a good fit for regression. A non-linear pattern is more appropriate.
PLEASE HELPPPPP MEEEEE
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ALLAH IS ALL KNOWING AND ALL HEARING
Step-by-step explanation:
"There is no God but Allah, and Muhammad is his messenger." This is the basic statement of the Islamic faith: anyone who cannot recite this wholeheartedly is not a Muslim. When a Muslim recites this they proclaim: That Allah is the only God, and that Muhammad is his prophet
An equation must be ______________________ in order to be true.
Group of answer choices
-inversed
-tripled
-unbalanced
-balanced
Thank you! :>
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the answer is
balanced in
how do you turn 2.087 into a fraction
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Answer: 2 87/1000 or 2087/1000
Step-by-step explanation:
the answer is 2087 over 1000
PLEASE ANSWER BOTH QUESTIONS. Use Graph to help answer them. NO LINKS.
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B- 5
Which fraction is equal to 1518?
Answers
Answer:
It can be expressed in rational form as 1518/1.
Step-by-step explanation:
You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer.
Answer:
It can be expressed in rational form as 1518/1.
Step-by-step explanation:
You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer.'
Pleasseeeeeeeeeeeeeeeee give BRAINLIST!!
50** POINTS! 7th Grade, Geometry. Thankyou.
Answers
Meaning 6x-7=2x+25
Which makes x=4
Plug 4 back into the equation
2(4)+25 which equals 33
PLEASE HELP!!!!! i will give you brainly!!!
Answers
Answer:
the third option
Step-by-step explanation:
it's (1,0) (2,0) and (-3,0)
Answer:
The x -intercepts are;
( 1, 0 ), ( 2, 0 ), ( -3, 0 )
Step-by-step explanation:
The x-intercept is that place where the graph of a function intersects the x-axis on a coordinate plane. In the given figure, one can see that the function intersects the x-axis in 3 places;
( -3, 0 )
( 1, 0 )
( 2, 0 )