Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=x2, 0≤x≤3, y=9, and x=0 about the y-axis.
Volume =
Answer:
113.08 cm^3
Volume for sphere = 4/3 Pi 3^3
y = x^2 - (x+0) (x+0)< 3 would equal x = 1.25 and y = 2.5 max
then y = 9 and x = 0 around the y axis
We find (1.25, 2.5) (0,9)
y + 1 = 0 + 1.25 + 9
y+ 1 = 10.25
radius therefore = 3^2 = 3
and surface area = pi x 9 = 28.2743338823
= 28.27cm^2 x 4 = 113.1cm
If it is a sphere you then multiple 4/3 pi r^3 is exactly the same as 4pir^2
Step-by-step explanation:
The volume of the solid is [tex]9\pi[/tex] cubic unit.
Volume of solid :The volume of the solid obtained by rotating the curve [tex]y=f(x)[/tex] is given as,
[tex]V=\int\limits^b_a \pi {y^{2} } \, dx[/tex]
Given that, [tex]y=x^{2} ,a=0,b=3[/tex]
Substitute above values in volume formula.
[tex]V=\int\limits^3_0 \pi{x^{2} } \, dx \\\\V=\pi(\frac{x^{3} }{3} )^{3} _{0}\\\\V=\frac{\pi}{3} (27-0)=9\pi[/tex]
Thus, the volume of the solid is [tex]9\pi[/tex] cubic unit.
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What is the square root of 10000000
Answer:
The rounded answer is 3162 and the actual answer is 3162.27766017
Step-by-step explanation:
Please give me brainliest. Have a good day. :)
Answer:
the square root of 10000000=√10000000=10^3√10=1000√10=3162.27766
Select two expressions that are equivalent to 8(5t + 7v)
Answer:
what are the answer choices?
Step-by-step explanation:
no choices, no answer
Answer:
A and D are the correct answers hope this helps :)
What is the value of this expression?
8-4x3^3+11
Answers:
119
23
-89
-17
[tex]8 - 4( {3}^{3} ) + 11 \\ 8 - 4(27) + 11 \\ 8 - 108 + 11 \\ 8 - 97 \\ - 89[/tex]
A quadrilateral ABCD has the given angle measures. Select all measurements which
could come from a cyclic quadrilateral.
A:
angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B:
angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
C:
angle A is 70°, angle B is 110°, angle C is 70°, and angle D is 110°
D:
angle A is 60°, angle B is 50°, angleC is 120°, and angle D is 130°
E:
angle A is 50°, angle B is 40°, angle C is 120°, and angle D is 150°
Answer:
A: angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B: angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
D: angle A is 60°, angle B is 50°, angle C is 120°, and angle D is 130°
Step-by-step explanation:
The sum of opposite angles of a cyclic quadrilateral is 180°
It must satisfy the following:
A+C=180° and B+D=180°
Only choice A and B and D satisfy.
The correct options are options A, B, and D.
What is a cyclic quadrilateral?A quadrilateral having all its corners on a circle plus opposite angles' sum is 180° called a cyclic quadrilateral.
A) ∠A =90°
∠B=90°
∠C =90°
∠D =90°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
B) ∠A =80°
∠B=80°
∠C =100°
∠D =10 0°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
Similarly, options C, D, and E also can be checked whether they can come from a cyclic quadrilateral or not.
C) Cannot come from a cyclic quadrilateral since ∠A + ∠C =140°≠180°.
D) ∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
E)Cannot come from a cyclic quadrilateral since∠A + ∠C = 170°≠180°.
Therefore, The correct options are options A, B, and D.
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Can someone help me with two geometry questions? They are in a PDF document that I attached.
Answer:
use
x+y=z
and see magic answer is there
what is the answer please really stuck
Answer:
X is 30
Step-by-step explanation:
X is 30
23 plus 8 times 2
A park planner is designing a dog park
Answer:
Un planificador de parques está diseñando un parque para perros
lan worked 25 hours at the grocery store last week and 36 hours this week.
What is the percent change?
O 44% Increase
O 44% Decrease
O 31% Increase
O 31% Decrease
7xy^ 2 z-2xz^ 2 +3xy^ 2 (9x-1,y=2 , z=3
Answer:
I dont know
Step-by-step explanation:
??
(40 points) please help the owners of pet store plan to purchase some hamsters and some rabbits. Each hamster costs 15 and each rabbit costs 25 each. the owners have at most 300 to spend
Answer:
10 hamsters and 6 rabbits
Step-by-step explanation:
if you take 10x15 for the hamsters you get $150 and then if you take 25x6 you get $150 for the rabbits then add those two numbers and you get $300.
Select the correct answer.
The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2
Answer:
The answer is D slope = -3 y-intercept = -2
Step-by-step explanation:
Answer
D.
Step-by-step explanation:
The first part of the equation is -3 and the second part is -2. The number attached to the variable is the "slope" and the number coming after the variable is the y intercept.
HELPPPPPPPPP I WILL GIVE U THE BRAINLEST!!!!!!!!
Answer:
r = 14
d = 28
r^2=28
Circumference = 87.96
C=2πr=2·π·14≈87.96459
What is the y intercept of the graph
A. -2
B. 2
C. -4
D. 4
Answer:
option C = -4
Step-by-step explanation:
Because the line is in the y-axis of -4
Option C) -4
REASON:the line is on the Y axis of -4
Solve for x: -8 < x - 1 < 5
Answer: −7<x<6
Step-by-step explanation:
−8<x−1<5
−8+1<x−1+1<5+1(Add 1 to all parts)
−7<x<6
3 1/8 - 7/12 estimate the difference by rounding each fraction or mixed number to the nearest half or whole.
Answer:
2
Step-by-step explanation:
3-1=2...since the nearest whole number for the first is 3 and that of the next is 1 since it is more than a half
Answer:
2
Step-by-step explanation:
2 its becuse i muitlplyed to get the anserw and subtraction
Mike, Kate, and Wendy are sick with the flu, but they still come to
school on Monday. They arrive at 8am. By 9am (Hour 1), each of them
has already infected two of his or her friends. By 10am (Hour 2), each of
Mike's, Kate's, and Wendy's friends infect two other people, meaning 12
new people have been infected by the second hour.
a. If the school day ends at 3pm, how many students in all will be
infected at the end of the school day?
what’s the slope of -2,17 and -1,5
Josh bought a video game that was 20% off. He paid $45 for the video game. How much was the game ORIGINALLY?
Answer:
The original price of the game was $54.
Which point on the diagram shows the minimum value of y?
Answer:
Step-by-step explanation:
ok
Andrea uses 8.1 pints of white paint and blue paint to paint her bedroom walls.
4/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls
Answer:
2.025 pints of blue paint
Step-by-step explanation:
4/5 = 80/100 or 80%
8.1 is 80% of 10.125
10.125 is the total pints of paint used.
If 8.1 of those pints of paint are white, then the rest of the paint must be blue.
10.125 - 8.1 = 2.025
A total of 472 tickets were sold. They were either adult tickets or student tickets. The number of student tickets were 3 times tge number of adult tickets sold. How many adult tickets were sold?
Answer:
adult tickets = 118
student tickets = 354
Step-by-step explanation:
a = number of adult tickets
s = number of student tickets
a + s = 472
3a = s
substitute for s
a + 3a = 472
reduce
4a = 472
divide by 4
4a/4 = 472/4
a = 118
s = 354
The cost of attending your college has once again gone up. Although you have been told that education is investment in human capital, which carries a return of roughly 10% a year, you (and your parents) are not pleased. One of the administrators at your university/college does not make the situation better by telling you that you pay more because the reputation of your institution is better than that of others. To investigate this hypothesis, you collect data randomly for 100 national universities and liberal arts colleges from the 2000-2001 S. News and World Report annual rankings. Next you perform the following regression.
cost 7,311.173,985.20 . Reputation - 0.20 Size +8,406.79. Dpriv
(0.13 2,058.63 (664.58) - 416.38 Dibart - 2,376.51 Dreli ion (2,154.35) (1,121.92) 1,007.56) R' = 0.72 SER 3, 773.35
where Cost is Tuition, Fees, Room and Board in dollars, Reputation is the index used in U.S. News and World Report (based on a survey of university presidents and chief academic officers), which ranges from 1 ("marginal) to 5 ("distinguished"), Size is the number of undergraduate students, and Dpriv, Dlibart, and Dreligion are binary variables indicating whether the institution is private, a liberal arts college, and has a religious affiliation. The numbers in parentheses are heteroskedasticity-robust standard errors
(a) Interpret the results and determine whether or not the coefficients are significantly dif- ferent fromzero. Do the coefficients have the expected sign?
(b) What is the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5? (All liberal arts colleges are private.)
(c) Suppose that you switch from a private university to a public university, which has a ranking tha's 0.5 lower and 10,000 more students. What is the effect on your cost?
(d) What is the p-value for the null hypothesis that the coefficient on Size is equal to zero? Based on this, should you eliminate the variable from the regression? Why or why not?
(e) You want to test simultaneously the hypotheses ha and bert - 0. Your regression package returns an F-statistic of 1.23. Can you reject the null hypothesis?
(f) Eliminating the Size and Dlibartvariables from your regression, the estimated regression becomes 5,450.35+3,538.84 .
Reputation 1,772.35 (590.49) cost 10,935-70.Dpriv-2, 783.31-Dreligion 575.51) (1,150.57) R20.72 SER- 3,792.68 Why do you think that the effect of attending a private institution has increased now?
Answer:
a) Interpret the results and determine whether or not the coefficients are significantly dif- ferent fromzero. Do the coefficients have the expected sign?
An increase in reputation by one category, increases the cost by
roughly $3,985. The larger the size of the college/university, the
lower the cost. An increase of 10,000 students results in a $2,000
lower cost. Private schools charge roughly $8,406 more than public
schools. A school with a religious affiliation is approximately $2,376
cheaper, presumably due to subsidies, and a liberal arts college also
charges roughly $416 less. There are no observations close to the
origin, so there is no direct interpretation of the intercept. Other than
perhaps the coefficient on liberal arts colleges, all coefficients have
the expected sign.
(b) What is the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5? (All liberal arts colleges are private.)
7,311.17 + 3,985.20×4.5 – 0.20×1500
+ 8,406.79×1 – 416.38×1 – 2,376.51×0=$ 32,935
(c) Suppose that you switch from a private university to a public university, which has a ranking tha's 0.5 lower and 10,000 more students. What is the effect on your cost?
Roughly $ 12,400. Since over the four years of education, this
implies approximately $50,000, it is a substantial amount of money
for the average household.
(d) What is the p-value for the null hypothesis that the coefficient on Size is equal to zero? Based on this, should you eliminate the variable from the regression? Why or why not?
Using a one-sided alternative hypothesis, the p-value is 6.2 percent. Variables should not be eliminated simply on grounds of a statistical test. The sign of the coefficient is as expected, and its magnitude makes it important. It is best to leave the variable in the regression and let the reader decide whether or not this is convincing evidence that the size of the university matters
(e) You want to test simultaneously the hypotheses ha and bert - 0. Your regression package returns an F-statistic of 1.23. Can you reject the null hypothesis?
The critical value for F2,∞ is 3.00 (5% level) and 4.61 (1% level). Hence you cannot reject the null hypothesis in this case
(f) Eliminating the Size and Dlibartvariables from your regression, the estimated regression becomes 5,450.35+3,538.84 .
Reputation 1,772.35 (590.49) cost 10,935-70.Dpriv-2, 783.31-Dreligion 575.51) (1,150.57) R20.72 SER- 3,792.68 Why do you think that the effect of attending a private institution has increased now?
Step-by-step explanation:
a.An increase in reputation by one category, increases the cost by
roughly $3,985. The larger the size of the college/university, the
lower the cost. An increase of 10,000 students results in a $2,000
lower cost. Private schools charge roughly $8,406 more than public
schools. A school with a religious affiliation is approximately $2,376
cheaper, presumably due to subsidies, and a liberal arts college also
charges roughly $416 less. There are no observations close to the
origin, so there is no direct interpretation of the intercept. Other than
perhaps the coefficient on liberal arts colleges, all coefficients have
the expected sign.
b.7,311.17 + 3,985.20×4.5 – 0.20×1500
+ 8,406.79×1 – 416.38×1 – 2,376.51×0=$ 32,935
c.Roughly $ 12,400. Since over the four years of education, this
implies approximately $50,000, it is a substantial amount of money
for the average household.
d.Using a one-sided alternative hypothesis, the p-value is 6.2 percent. Variables should not be eliminated simply on grounds of a statistical test. The sign of the coefficient is as expected, and its magnitude makes it important. It is best to leave the variable in the regression and let the reader decide whether or not this is convincing evidence that the size of the university matters
e.The critical value for F2,∞ is 3.00 (5% level) and 4.61 (1% level). Hence you cannot reject the null hypothesis in this case
The heights, in inches, for 120 people (male and female) have been measured. The results are presented:Heights sample data: 66.13 65.84 69.19 61.94 68.86 65.66 70.19 59.54 70.29 62.64 67.59 61.29 66.34 65.19 62.7 64.96 70.35 71.36 70.29 62.21 73.46 65.74 66.22 64.28 66.56 66.5 68.55 67.01 61.13 66.93 63.98 65.88 66.02 69.86 65.5 61.14 62.27 64.93 66.04 71.74 68.69 65.27 67.39 66.01 67.51 67.41 67.62 66.2 65.25 64.78 68.87 68.5 67.17 62.62 61.76 63.41 64.73 65.22 62.14 68.19 67.59 68.64 66.3 66.34 65.66 63.14 69.68 68.07 63.1 66.86 62.2 69.44 65.35 61.53 59.7 61.12 69.98 66.52 63.27 65.69 70.76 68.02 69.35 65.45 70.28 62.04 69.28 63.45 67.52 63.37 64.47 68.82 73.15 62.47 65.56 68.28 67.66 63.81 66.39 69.88 67.26 65.5 66.33 65.75 68.83 71.8 64.6 69.95 66.8 70.82 66.71 67.11 69.23 70.71 64.32 67.18 65.1 64.79 62.58 67.2 a)Calculate the mean and standard deviation for the sample. Give your answers to 2 decimal places. sample mean
Answer:
70.4
Step-by-step explanation:
hwhbsbsjsksjjsjdhdh
Use the commutative property to write an expression equivalent to -5d + 1/2.
Answer:
1/2 + -5d
Step-by-step explanation:
To help retain its readership base in the digital era, a magazine is considering the launch of an online edition. However, it will only be feasible to publish an online edition if more than 35% of current readers would subscribe to the online edition. The magazine contacted a simple random sample of 587 current readers, of which 227 said they would be interested in the online edition. Conduct a hypothesis test to help the magazine decide if it should launch the online edition or not.
Answer:
Hо:p = 0.35
H1:p > 0.35
Step-by-step explanation:
The magazine wants to check if the the proportion of readers interested in the online edition is equal to 35% (0.35) or greater than 35% (>0.35). Denote by p, the proportion of readers interested in the online edition. Then the null hypothesis,the hypothesis that contains equal-to sign- will be Hо:p = 0.35 and the alternative hypothesis will be H1:p > 0.35.
Which polynomial represents the sum below (x^8 + 2x^4 + 1) + (2x^4 + x^2 + 1)
To add the polynomials [tex] \tt {x}^{8} + {2x}^{4} + 1 [/tex] and [tex] \tt {2x}^{4} + {x}^{2} + 1 [/tex] let us first combine the like and unlike terms and add them :
[tex] =\tt {x}^{8} + {2x}^{4} + 1 + \tt {2x}^{4} + {x}^{2} + 1[/tex]
[tex] = \tt {x}^{2} + {x}^{2} + {x}^{2} + {x}^{2} + {2x}^{2} + {2x}^{2} + {2x}^{2} + {2x}^{2} + {x}^{2} + 1 + 1 [/tex]
[tex] =\tt {13x}^{2} + 2[/tex]
○=> Therefore :[tex]\color{hotpink} = \tt {x}^{8} + {2x}^{4} + 1 + \tt {2x}^{4} + {x}^{2} + 1 \color{plum}= {13x}^{2} + 2[/tex]
1.ABCD is a rectangle.its diagonals meet at O.lif AO = 5x-1 and BO =
4x+9.find the length of the diagonals.(lengths in cm)
Answer:
[tex]Length = 98[/tex]
Step-by-step explanation:
Given
[tex]AO = 5x - 1[/tex]
[tex]BO = 4x + 9[/tex]
Required:
The length of the diagonal
Since AO and BO are diagonals that meets at O, we have:
[tex]AO=BO[/tex]
This gives
[tex]5x - 1 = 4x + 9[/tex]
Collect Like Terms
[tex]5x - 4x = 1 + 9[/tex]
[tex]x = 10[/tex]
Subsitute 10 for x in [tex]AO = 5x - 1[/tex]
[tex]AO = 5 * 10 - 1[/tex]
[tex]AO = 50 - 1[/tex]
[tex]AO = 49[/tex]
The length of the diameter is:
[tex]Length = AO * 2[/tex]
[tex]Length = 49 * 2[/tex]
[tex]Length = 98[/tex]
round off 9.999 to the nearest 10
Answer:
the answer is 10 you round up a nine it keeps going to the end
5x-4y =-10 what is x and y i need the numbers
Answer:
x=2(2y-5) over 5 , y=-5(-x-2) over 4