Use the method of disk or washer to set up, but do not evaluate, an integral for a volume of the solid obtained by rotating the region bounded by the given curves about the given line.
y=√x and y=x and y=1
Answers
Answer:
V = π /2 volume units
Step-by-step explanation:
Volume of y = √x bounded by y = x and y = 1
y = √x
limits of integration ( see Annex )
By simple inspection limits of integration are x = 0 to x = 1
or y = √x and y = x
solving these two equations
x = 0 y = 0 x = 1 y = ± 1
V = ∫ π*f(x)²*dx
V = π * ∫₀¹ x*dx = π * x²/2 |₀¹
V = π * (1/2) - 0
V = π /2 volume units
Related Questions
The beginning and ending readings on an odometer were 75,312.8 and 76,002.6. If the trip took 10-1/2 hours, what was the rate of the car in miles per hour to the nearest tenth?
Answers
Answer:
a
Step-by-step explanation:
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 247 feet and a standard deviation of 41 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 216 feet
Answers
Answer:
77.5% probability that this ball traveled fewer than 216 feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 247 feet and a standard deviation of 41 feet.
This means that [tex]\mu = 247, \sigma = 41[/tex]
What is the probability that this ball traveled fewer than 216 feet?
The probability as a decimal is the p-value of Z when X = 216. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{216 - 247}{41}[/tex]
[tex]Z = 0.756[/tex]
[tex]Z = 0.756[/tex] has a p-value of 0.775
0.775*100% = 77.5%
77.5% probability that this ball traveled fewer than 216 feet.
A parking garage charges the following amount for cars parked in the garage:
For the first hour that a car is parked in the garage, there is no charge. After the first hour, for the next two hours that a car is parked in the garage, there is a $5 charge. After the third hour, the garage charges $2 for each additional hour that the car is parked in the garage. If a car is parked in the garage for a fraction of an hour, the garage will charge that fraction of the additional hourly rate.
1. If a car is parked in the garage for 30 minutes, how much will the garage charge? Explain your answer.
2. If a car is parked in the garage for 2 hours and 30 minutes, how much will the garage charge? Explain your answer.
3. If a car is parked in the garage for 5 hours, how much will the garage charge? Explain your answer.
4. If a car is parked in the garage for 5 hours and 30 minutes, how much will the garage charge? Explain your answer.
ANY INCOMPLETE OR INAPPROPRIATE ANSWERS WILL BE REPORTED AND DELETED. POINTS WILL BE DEDUCTED.
Answers
Answer:
20$ i think
Step-by-step explanation:
A fraction is a way to describe a part of a whole. If a car is parked in the garage for 5 hours and 30 minutes the charge will be $10.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that for the first hour that a car is parked in the garage, there is no charge. After the first hour, for the next two hours that a car is parked in the garage, there is a $5 charge. After the third hour, the garage charges $2 for each additional hour that the car is parked in the garage.
1.) Since the car is parked for 30 minutes only.
Charge = $0
Hence, No charge will be charged for 30 minutes.
2.) If a car is parked in the garage for 2 hours and 30 minutes.
Charge for 1 hour = $0
Charge for the next 1 hour and 30 minutes = $5
Hence, the charge will be $5.
3.) If a car is parked in the garage for 5 hours.
Charge for 1 hour = $0
Charge for the next 2 hour = $5
Charge for the next 2 hour = 2×$2 = $4
Charge = $5 + $4 = $9
Hence, the charge will be $9.
4.) If a car is parked in the garage for 5 hours and 30 minutes.
Charge for 1 hour = $0
Charge for the next 2 hour = $5
Charge for the next 2 hour 30 minutes = 2.5 ×$2 = $5
Charge = $5 + $5 = $10
Hence, the charge will be $10.
Learn more about Fraction:
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HELP PLEASE!! I WILL MARK BRAINLIST
Answers
Answer:
D
Step-by-step explanation:
Have a nice day :)
Determine the angles. There’s only two answers.
A. 90 clockwise
B. 90 counterclockwise
C. 180
D. 270 clockwise
E. 270 counterclockwise
Answers
Answer:
its would be a and d
Step-by-step explanation:
6 times 5
A group of students were asked if they carry a credit card. The responses are listed in the table.
If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.
Answers
Answer:
0.383 (3 d.p.)
Step-by-step explanation:
Probability formula
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Let P(A) = probability that the student owns a credit card
Let P(B) = probability that the student is a freshman
Use the given table to calculate the probability that the student is a freshman and owns a credit card:
[tex]\implies \sf P(B \cap A)=\dfrac{23}{100}=0.23[/tex]
Use the given table to calculate the probability that the student is a freshman:
[tex]\sf \implies P(B) = \dfrac{60}{100}=0.6[/tex]
To find the probability that the student owns a credit card given that they are a freshman, use the conditional probability formula:
Conditional Probability Formula
The probability of A given B is:
[tex]\sf P(A|B)=\dfrac{P(B \cap A)}{P(B)}[/tex]
Substitute the found values into the formula:
[tex]\implies \sf P(A|B)=\dfrac{0.23}{0.6}=0.383333...[/tex]
Therefore, the probability that the student owns a credit card given that they are a freshman is 0.383 (3 d.p.).
P(Freshman credit card holder)
23/1000.23P(Freshman)
60/1000.60P(Freshman credit holder|Freshman)
0.23/0.60.383which statement is true?
Answers
Answer:
The y-intercept of function a is greater than the y intercept of function b
Step-by-step explanation:
function a:
y = 4x + 2
function b:
y = 2x + 1
Suppose you work for a marketing consulting firm and you are tasked to determine the proportion of Americans who respond positively to an ad your agency is testing for release. A survey is performed and you randomly select 134 respondents. You input your data into a statistical computing package (like Minitab) and you are given a 95% confidence interval of ( 0.2841 , 0.4472 ). You need to present these findings in the next departmental meeting. What is the correct interpretation of this interval
Answers
Answer: A person can be 95% confident that the true population proportion of Americans who respond positively to an ad your agency is testing for release lies in ( 0.2841 , 0.4472 ).
Step-by-step explanation:
Interpretation for 95% confidence interval:
A person can be 95% confident that the true population parameter lies in it.
here , population parameter = Population proportion of Americans who respond positively to an ad your agency is testing for release.
Required interpretation: A person can be 95% confident that the true population proportion of Americans who respond positively to an ad your agency is testing for release lies in ( 0.2841 , 0.4472 ).
How to solve this please I really need it now
Answers
Answer:
x=11
Step-by-step explanation:
the question would be to find x
3x + 28 + 5x + 52 + 2x - 10=180 (sum of angles in a triangle is equal to 180⁰)
10x + 70=180
10x=180-70
10x=110
x=110/10
x=11
HOW COULD MAKE 7 TO BECOME EVEN NO. WITHOUT FOUR FUNDAMENTAL PRINCIPLE
LIKE :
PLUS
MINUS
SOBRACTION
DIVISION
Answers
Answer:
2,4,6,8,10,12,14,16,18,20
Answer:
How do you make the number 7 an even number without addition, subtraction or multiplication?
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22 Answers

Yogesh Rana, B.Sc. Mathematics, University of Delhi (2016)
Answered 4 years ago
You can remove alphabet S from SEVEN.
You can change the convention. Whole mathematics works like that. After all it is just a name, ie, call the numbers divisible by 2 odd and not divisible by 2 even. Everything will still work fine. You got to rename some theorems also.
Introduce and derive a new number system from the current number system, name the symbol 6 as seven and the symbol 7 as Six. Just rename the symbols.
Introducing a new number system and interchange position of 7 with an even number.
If we remove one number before 7 ( 1 - 6 ) with its name, we have again a new number system with base 9 and technically no. 7 is still no. 7 with value = 6.
These are some genuine ways rather than dividing.
ANSWERS OF DIVISION ARE TECHNICALLY WRONG AND RIDICULOUS BECAUSE DIVISION BY ‘x’ is MULTIPLICATION BY ‘1/x’ .
The following are the last 10 run scores Colin got in cricket:
34, 26, 11, 9, 20, 19, 31, 6, 33, 35
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 29 runs.
What is his new mean score?
Give your answers as decimals.
HELPPPO
Answers
Answer:
a)18.8
b)20
Step-by-step explanation:
Basically, you have to add all the numbers from the data set (188) then divide them by 10 and that equals 18.8
The second part you have to add 32 to 188 ( which equals 210) and that by 11 which equals 20
Help me please I’m down baddddd
Answers
Answer:
a. m<B = 100°
b. m<L = 55°
c. Scale factor = 9/11
Step-by-step explanation:
a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.
Since ∆ABC ~ ∆GLJ, therefore,
<A = <G,
<B = <J
<C = <L
m<J = 100° (given)
Therefore,
m<B = m<J = 100°
m<B = 100°
b) m<A = m<G
m<A = 25° (given)
Therefore,
m<A = m<G = 25°
m<G = 25°
m<L = 180° - (m<J + m<G)
Substitute
m<L = 180° - (100° + 25°)
m<L = 55°
c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle
Scale factor = AB/GJ
Substitute
Scale factor = 18/22
Simplify
Scale factor = 9/11
PLEASE HELP MEEE!! AND DONT PUT THESE LIKE TINY.URL THINGS
Answers
=======================================================
Work Shown:
A = h*(b1+b2)/2 .... area of trapezoid formula
A = 4*(7+3)/2
A = 4*(10)/2
A = 40/2
A = 20 square units
-----------
notes:
The bases b1 and b2 are parallel to one another.b1 = 7 is the longer horizontal base at the bottom. It spans from x = 1 to x = 8, so it's 8-1 = 7 units long.b2 = 3 is the shorter horizontal base up top. It spans from x = 2 to x = 5, so it's a distance of 3 units.h = 4 is the height. We can count out 4 spaces when going one base to the other, or we can note that the y coordinates subtract to 4 (ie 5-1 = 4)The base and height are always perpendicular to one another.As an alternative way to solve, you can break the figure into 2 triangles and a rectangle in between. Find the area of each piece, and then add those areas up to get the final answer.what is an algebraic expression for the quotient w and 7?
Answers
Answer:
the quotient of w and 7
is it correct?
Step-by-step explanation:
Can someone please explain to me a easier way of understanding this please
Answers
Step-by-step explanation:
u have solve it by finding slope(m)
and substitute is general eq of straight line
y = mx + c
Answer:
y = 2x - 6
Step-by-step explanation:
These are actually pretty fun to do once you get the hang of it! Here are the steps!
The formula for slope intercept form is y=mx + b.
m is the slope and b is the y-intercept. Let's start with finding the y-intercept (also known as b).
To find the y-intercept, look at where the line crosses the y-axis. In your equation, the line crosses the y-axis at -6. Plug -6 in for b in the equation.
y = mx + (-6)
Now were going to find the slope. To find the slope, you need to find the rise over run. To start, first find a point on the graph where the line goes through an integer (just pick one of the blue dots). Then, count how many squares you go up or down, and how many you go to the left or right before you hit the next blue dot. Divide the rise over the run, and you have your slope! Here are the steps for the problem:
To get from one dot to another, you rise up 2 units, and you run to the right 1 unit. Plugging those integers into rise/run, you get 2/1 which simplifies to 2. That's your slope.
Now all we need to do is plug the slope into the formula, and you have your equation!
Answer: y = 2x - 6
Solve the system of equations using substitution or graphing. y = –x2 + 4x + 5 y = x + 1
Answers
Answer:
y
=
x
2
+
4
x
−
5
Step-by-step explanation:
rewrite 2/7 and 1/4 so they have a common denominator
Answers
answer for brainlest pls
Answers
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle = 7 in.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The area of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:area \:of\:the\:circle\:is\:154\:in².}[/tex]
A. 154 inches squared. ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]
[tex] = \frac{22}{7} \times 7 \times 7 \: {in}^{2} \\ \\ = 22 \times 7 \: {in}^{2} \\ \\ = 154 \: {in}^{2} [/tex]
[tex]\boxed{Therefore,\:the\:area\:of\:the\:circle\:is\:154\:in².}[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Determine whether the events are independent.Numbers are written on slips of paper in a hat; one person pulls out a slip of paper without replacing it, then a second person pulls out a slip of paper.Independent Not independent
Answers
Answer:
Not independent
Explanation:
Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.
Instructions: Find the value of x
Please help
Answers
The two chords are the same length given by the 4 short lines through each section.
Because the chords are the same length they need to be equal distance from the center of the circle
X = 9
Name a pair of complementary angles in the diagram above.
21 and 22
Z2 and 23
24 and 25
0 27 and 29
Answers
Answer:
7&9
Step-by-step explanation:
Really, its just because, that's my explanation.
Find the area of a circle with diameter 10 inches. Round to the nearest hundredth points)
Answers
Answer:
78.54inches²
Step-by-step explanation:
Area of a circle=πr²
radius=½ diameter
=5inches
=π×(5inches)²
=π25inches²
=78.539816339744830inches²
rounded to the two decimal places=78.54inches²
Which expression has the greater value ?
-8+3
-8x3
Answers
sorry if it’s wrong i’m not 100% sure
Someone help me please!!!
Answers
Answer:
Domain: 2<x<7
Range: 1<y<2
Step-by-step explanation:
Range is the y value but domain is the x value
Mark me Brainliest if this works! Thanks!
( 2, 1 ) and ( 7, 2)
Domain - 2 and 7
Range - 1 and 2
I hope you understand...
Mark me as brainliest...
QueSLUIT Consider the universal set U of all the integers from 2 to 20, including both 2 and 20. Let B be the set of multiples of 2, not counting 2 itself. Find Bº. Write your answer in standard set notation, for example {1,2,3,4,5). Do not use the notation B° = in the answer
Answers
Step-by-step explanation:
{2,3,5,7,9,11,13,15,17,19}
On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime has points (negative 1, 4), (negative 1, 2), (negative 5, 3). Triangle B double-prime C double-prime D double-prime has points (5, negative 1), (5, negative 3), (1, negative 2).
Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?
Translation of 5 units x, negative 6 units y composition reflection across y = negative x
Reflection across y = negative x composition translation of 5 units x, negative 6 units y.
Translation of 6 units x, negative 5 units y composition reflection across the y-axis
Reflection across the y-axis composition translation of 6 units x, negative 5 units y
Answers
Reflection across the y-axis composition translation of 6 units x, -5 units y. Then the correct option is D.
What is a transformation of the points?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
On a coordinate plane, 3 triangles are shown.
Triangle B C D has points (1, 4), (1, 2), (5, 3).
Triangle B'C'D' has points (-1, 4), (-1, 2), (-5, 3).
Triangle B"C"D" has points (5, -1), (5, -3), (1, -2).
Reflection across the y-axis composition translation of 6 units x, -5 units y.
The diagram is given below.
More about the transformation of the points link is given below.
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Based on the triangle given, determine the trig ratio of the cos 0
Answers
Answer:
cos theta = 4/5
Step-by-step explanation:
Since this is a right triangle
Cos theta = opp side/ hypotenuse
Cos theta = 8/10
cos theta = 4/5
Estimate by rounding to nearest 100 5428 + 6378 = ?
Answers
5400 + 6400 = 11800
A sum of money is divided in the ratio 3:5:9.calculate the smallest share given the largest share is 108
Answers
Answer:
36
Step-by-step explanation:
largest share = 9parts = 108
1 part = 108÷9 = 12
smallest share = 3parts = 12×3 = 36
I need help, please answer A and B.
Answers
Answer:
a. 81 square inches
b. 108 inches
Step-by-step explanation:
The area of all 5 squares combined is 405 square inches. This is 5 times the area of 1 square. 405/5 = 81. The area of 1 square is 81 square inches.
Since this is a square, the sides are equal. Thankfully the area of 1 square is a perfect square so the length of one side of the square is a full number, which is 9. All of the squares are congruent as shown in the diagram so we simply add every length together (there are 12 sides, each side is 9 inches).
12*9 = 108 and that is the perimeter.
Answer:
area
Step-by-step explanation:
a = 405/5 = 81
a =81 square inches
perimeter
p = √81
= 9
=4×9×5
=180 inches
