Answers
Step-by-step explanation:
S = ∫ 2π y ds
ds = √(1 + (dx/dy)²) dy
ds = √(1 + (8y)²) dy
ds = √(1 + 64y²) dy
S = ∫₁² 2π y √(1 + 64y²) dy
S = π/64 ∫₁² 128y √(1 + 64y²) dy
S = π/64 [⅔ (1 + 64y²)^(³/₂)] |₁²
S = π/96 (1 + 64y²)^(³/₂) |₁²
S = π/96 (1 + 256)^(³/₂) − π/96 (1 + 64)^(³/₂)
S = π/96 (257√257) − π/96 (65√65)
S = π/96 (257√257 − 65√65)
Related Questions
If AD is the altitude to BC , what is the slope of AD?
A. 1/3
B. 2/3
C. -1/3
D. 3
Answers
Answer:
D
Step-by-step explanation:
Slope of BC
= - 1/3
Altitude to BC
= 3
The required slope of the AD altitude to BC is given by option D. 3
AD is the altitude to BC
Altitude is defined as the perpendicular line to the line from the opposite vertex of the triangle.
for ΔABC, AD is the altitude to BC
Since, the slope of the perpendicular line is equal to the negative inverse of the slope of the line over which its is perpendicular.
so,
slope of AD= -1/slope of BC
slope of BC = -1-2/3+6
= -3/9
slope of BC = -1/3
Hence,
slope of AD = -1/-1/3
= 3
Thus, The required slope of the AD altitude to BC is given by 3.
Learn more about altitude here:
https://brainly.com/question/18530806
#SPJ2
here are ten numbers:
Answers
Answer:
Mode = 7
Median = 6
Mean = 5.2
Range = 7
Step-by-step explanation:
[tex]3 \: ,7 \:,2 \:,4 \:,7 \:,5, \:7\:,1,8 \:,8[/tex]
a) Write down the mode
Mode is the number that appears the most in a given set of data
[tex]Mode = \:7[/tex]
7 appears thrice , 8 appears twice and rest appear once.
b) Median
Median is the middle number of a given set of data when arranged in order of least to largest.
[tex]1,2 , 3 ,4,5, 7,7,7,8,8\\\\=1),2),3),4)5,7,(7,(7,(8,(8\\\\= \frac{5+7}{2}\\ \\= \frac{12}{2}\\ \\= 6[/tex]
c. Mean
Mean is the sum of all values divided by the number of given values
[tex]\frac{1+2+3+4+5+7+7+7+8+8}{10} \\\\= \frac{52}{10} \\\\= 5.2[/tex]
d)Range
Range is the difference between the highest value and the lowest vale in a given set of data.
[tex]Highest \:value =8\\Lowest\:value = 1\\\\Range = 8-1\\\\=7[/tex]
Mrs. Carroll’s garden has a total of 448 flowers arranged with 28 flowers in each row. How many rows are there in Mrs. Carroll’s garden?
19
12
16
10 ASAP PLEASE BRO PLEASE HELP!!!!!!!!!!!1
Answers
Answer:
16 rows
Step-by-step explanation:
448 rows
28 flowers in each
448/28=16
Answer:
16 rows
Step-by-step explanation:
448 :28 =16 rows
Maya is comparing ride-sharing company prices. Company M charges $1.75 per mile driven and a one-time trip fee of $5. Company N charges $2.50 per mile driven and a one-time trip fee of $3. Which inequality can be used to find x, the minimum number of miles driven so that the total cost at Company M is less than the total cost at Company N?
Answers
Answer:
1.75x+5<2.5x+3
Step-by-step explanation:
A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a 50-50 chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for 80% of the successful bids and 35% of the unsuccessful bids the agency requested additional information. a. What is the prior probability of the bid being successful (that is, prior to the request for additional information)
Answers
Answer:
[tex]Probability = 0.50[/tex]
Step-by-step explanation:
Given
[tex]Probability = 50\ 50\ chance[/tex]
[tex]Successful\ Bids = 80\%[/tex]
[tex]Unsuccessful\ Bids = 35\%[/tex]
Required
Determine the probability before the request of past experience
In this case, we only consider the 50 50 chance probability
[tex]Probability = \frac{50}{50 + 50}[/tex]
[tex]Probability = \frac{50}{100}[/tex]
[tex]Probability = 0.50[/tex]
Expanded form with fractions 74.052
Answers
Answer:
[tex]Digit = 7 * 10 +4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]
Step-by-step explanation:
Given
[tex]Digit = 74.052[/tex]
Required
Expand
[tex]Digit = 74.052[/tex]
Split into individual digits
[tex]Digit = 7 * 10 +4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]
Convert all decimals to fraction
[tex]Digit = 7 * 10 +4 * 1 + 0 * \frac{1}{10} + 5 * * \frac{1}{100} + 2 * * \frac{1}{1000}[/tex]
[tex]Digit = 7 * 10 +4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]
Show that an implicit solution of 2x sin2(y) dx - (x2 + 11) cos(y) dy = 0 is given by ln(x2 + 11) + csc(y) = C.
Differentiating ln(x2 + 11) + csc(y) = C we get 2x/ x2 + 11 (__) dy/dy=0 or
2x sin2(y) dx + (______)dy = 0.
Find the constant solutions, if any, that were lost in the solution of the differential equation. (Let k represent an arbitrary integer.)
y =_______
Answers
Answer:
From the question we are told that
The equation is [tex]2x sin^2(y) dx - (x^2 + 11) cos(y) dy = 0[/tex]
Generally the goal of this solution is to prove that the implicit solution of the differential equation above is [tex]ln(x^2 + 11) + csc(y) = C.[/tex]
First Step
Differentiate the solution with respect to x
[tex]0 = \frac{2x}{ x^2 + 11} + [-cot * csc(y) ]\frac{dy}{dx}[/tex]
=> [tex]0 = \frac{2x}{ x^2 + 11} + [-\frac{cos(y)}{ sin(y) }* \frac{1}{sin(y)} ]\frac{dy}{dx}[/tex]
=> [tex]0 = \frac{2x}{ x^2 + 11} + [-\frac{cos(y)}{ sin^2(y) }]\frac{dy}{dx}[/tex]
=>
multiply through by [tex]sin^2(y)[/tex] , [tex] x^2 + 11[/tex], [tex]dx[/tex]
So
=> [tex]2 x (sin^2(y) dx + [-cos(y) (x^2 + 11)]dy = 0[/tex]
Looking at the equation obtained we see that it is equivalent to the differential equation hence the implicit solution of [tex]2x sin^2(y) dx - (x^2 + 11) cos(y) dy = 0[/tex] is [tex]ln(x^2 + 11) + csc(y) = C.[/tex]
Step-by-step explanation:
Evaluate, please Iʻm not sure how to do this
Answers
Answer
-4/3
Step-by-step explanation:
is 15 a factor or a multiple
Answers
Answer:
Factors of 15 include 3 and 5; multiples of 15 include 30, 45, 60, etc.
Step-by-step explanation:
Factors and multiples are different things. But they both involve multiplication. Factors are what we can multiply to get the number. Multiples are what we get after multiplying the number by an integer
Solve for m 3+5m= 8m-9
Answers
Answer:
m = 4
Step-by-step explanation:
solve for m 3+5m = 8m-9
3+5m = 8m-9
-5m -5m
3 = 3m-9
+9 +9
12 = 3m
/3 /3
4 = m
m = 4
which of the following describes the solution?
a) no solution
b) an infinite number of solutions
c) (-3,2,-1)
d) (1,1,1)
Answers
I think its b
that's the answer for me cause I got that question before and I remember saying B and the teacher said it was right
1.588 times 10 to the negative 1sst power
Answers
Answer:
0.1588
Step-by-step explanation:
A quadratic function is shown in the graph below.
10
9F
7
6
4
3
25
1 2 3
8 9 10
N
What are the domain and range of the quadratic function?
Domain: All real numbers less than or equal to 9
Range: All real numbers greater than 1
Domain: All real numbers greater than 1
Range: All real numbers less than or equal to 9
Domain: All real numbers greater than 1 and less than or equal to 6
Range: All real numbers greater than or equal to 0 and less than or equal to 9
Domain: All real numbers greater than or equal to 1
Range: All real numbers less than 9
Answers
Answer:
b
Step-by-step explanation:algebra test
The name Jim Crow came to be a label for
Answers
The name Jim Crow is often used to describe the segregation laws, rules, and customs which arose after Reconstruction ended in 1877 and continued until the mid-1960s. How did the name become associated with these "Black Codes" which took away many of the rights which had been granted to blacks through the 13th, 14th, and 15th
Answer:
D) Inequality
Step-by-step explanation:
Got it right on edge
1 point
What is Nick required to do for an hour before soccer on Saturdays?
laundry
O read his dad's dictionary
practice his soccer skills
clean his room
Please help please lease ASAP
Answers
Kimberly grouped these two cards together. What title do you think she might give this group?
Answers
Answer:
t
Step-by-step explanation:
8n/9 = 6.4/0.45
Give me the answer TODAY and you will get 20 points!
Answers
Answer:
n = 16
Step-by-step explanation:
8n/9 = 6.4/0.45
Cross multiply.
0.45 * 8n = 9 * 6.4
3.6n = 57.6
n = 16
Answer:
n = 16Step-by-step explanation:
8n = 6.4
9 0.45
simplify:
8n = 14.222
9
cross multiply:
8n = 14.222 (9)
n = 128
8
n = 16
Answer all 3 please will mark as brainiest
Answers
Answer:
1a. -4 3/5
1b. -4 3/5
2. 33
Step-by-step explanation:
1a. -4 4/5 + 1/5 = -4 3/5
1b. -4 2/5 + (-1/5) = -4 3/5
2. (-16 -35) + 18 = -33
You would need to draw the number 33 to get a score of 0.
Two angles are complementary. The larger angle is 58 degrees larger than the smaller angle. Find the measure of both angles, and separate your answers with a comma.
Answers
Answer:
the bigger angle is 119
the smaller one is 61
-5x - 35= -15
-5x = 25
X =
Answers
Evaluate the expression 517-4)2 + 3 + 11.
Need ASAP
Answers
Answer:
1040
Step-by-step explanation:
Kate has 36 candy bars to sell for a fundraiser. She sells 9 to her neighbors. Which equation shows how many candy bars she has left to sell?
A) 9 + 4 = 13
B) 36 − 9 = 27
C) 9 × 4 = 36
D) 36 ÷ 9 = 4
Answers
Answer:
B
Step-by-step explanation:
She has 36 sold 9 so 36-9=27
5) 3x2 - 16x + 20
Factor the Trinomial
Answers
Answer:
(3x -10)(x -2)
Step-by-step explanation:
You want to start by finding two factors of 3·20 = 60 that have a total of -16.
60 = (-1)(-60) = (-2)(-30) = (-3)(-20) = (-4)(-15) = (-5)(-12) = (-6)(-10)
The last of these factor pairs (-6, -10) have a total of -16, so these are what you need to rewrite the middle term:
3x² -6x -10x +20
Now, you can factor by pairs:
= 3x(x -2) -10(x -2)
= (3x -10)(x -2) . . . . your factored trinomial
Find distance between points : (2,6) and (7,18)
Answers
Answer:
the answer 18.0008
Step-by-step explanation:
Answer:
[tex]D=\sqrt{(2-7)^{2}(6-18)^{2} }D=\sqrt{(5)^{2}(12)^{2} } D=\sqrt{25+144} D=\sqrt{169} = 13[/tex]D = 13Step-by-step explanation:
1st step, we use the distance formula. After plugging in we simplify.
2-7 = 5 / 6-18 = 12.
Then we are left with 5^2 and 12^2
5x5 = 25 and 12x12 is 144
we added them up and get 169
The square root of 169 is the answer to the distance.
An experiment was performed to determine whether the annealing temperature of ductile iron affects its tensile strength. Five specimens were annealed at each of four temperatures. The tensile strength (in ksi) was measured for each. The results are presented in the following table.
Machine
Temperature(°C) Sample Values
750 17.89 16.01 16.66 16.93
800 19.72 20.04 14.49 18.10
850 17.38 14.49 20.88 15.53
90016.15 19.63 20.28 18.21 13.25
18.68 20.53 15.58
Perform the analysis of variance(ANOVA) at the 0.05 level of significance and indicate whether or not there are differences among the mean strengths?
Answers
Answer:
There are significant differences among the mean tensile strengths for different temperatures.
Step-by-step explanation:
A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.
The hypothesis can be defined as follows:
H₀: There is no difference between the means, i.e. [tex]\mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}[/tex].
Hₐ: There is a significant difference between the means, i.e.at least one of the mean is different.
Use MS-Excel to perform the analysis of variance.
Go to Data → Data Analysis → Anova: Single Factor.
A dialog box will open.
Enter the data and enter Alpha as 0.05.
Press OK.
The output is attached below.
The F-value is, 8.40458.
The p-value of the test is, 0.00139.
Decision Rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
p-value = 0.00139 < α = 0.05
The null hypothesis will be rejected at 5% level of significance.
Concluding that there are differences among the mean tensile strengths for different temperatures.
use the distributive property to simplify the expression (5n+3)12
Answers
Answer:
60n+36
Step-by-step explanation:
12*5n+12*3=60n+36
Hey there!
(5n+3)12 is the same as
12(5n+3)
because we multiply 12 times 5n and 3:
60n+36
And we can't simplify this any further, because 60n and 36 aren't like terms.
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
Answer Given By:
An ~Emotional helper ~
the sum of a number and 9 is 17. find the number
Answers
Answer:
8
Step-by-step explanation:
Reverse the problem to 17 - 9 = x
x = 8
thus, our answer is 8
Answer:
9 + 8 = 17
I don't think I have to explain this.
Using the Ohms Law triangle (pictured above) What is the amperage of a circuit that has 1.5 ohms of resistance and is powered by a 9 volt battery?
Answers
Answer: A) 6 A
Step-by-step explanation:
I = V/R
I = 9 / 1.5
I = 6 A
In the diagram below, points A and B are 3 inches apart. Try to find two points that are 1 inch from point A
and 1.5 inches from point B. Why do you think it is impossible to find such points?
A______________________B
3"
Answers
Answer:
It is impossible to find two points that are both 1 inch and 1.5 inches from the point A simultaneously as shown in the following proof
From segment addition postulate given a point C that is between the points of a segment AB, we have;
AC + CB = AB
Therefore, where AC = 1 inch and CB = 1.5 inches, we have;
AC + CB = 1 inch + 1.5 inches = 2.5 inches ≠ AB = 3 inches
However it is possible to find two points in which one of the points is 1 inch from the point A while the other point is 1.5 inches from the point B
Step-by-step explanation:
Jacob went to the gas station with 17.70 he brought a drink for 2.90 and he wanted to spend the rest of the money and a bag of chips for his friend which cost$ 1.85 each what is the maximum number of bags of chips that he can buy Define a variable then write and solve an inequality write your answer using a complete sentence
Answers
Answer:
17.70-2.90=14.80
14.80/1.85=8
He could buy a maximum of 8 chip bags.
bags of chips = x
17.70-2.90/1.85≥x
