The volume of the solid is 4π([tex]\frac{19}{6}[/tex]) and the integral of the f(x) , the line 2y=x, and x=2 is 3([tex]e^{4}[/tex] -1).
What is integral ?
An integral is a mathematical concept that is used to calculate the area under a curve or the total amount of change in a variable over a certain interval.
1)The first step is to find the intersection of the lines 2y=x and x=2. They will intersect at (2,1).
The second step is to find the intersection of the lines 2y=x and x=0. They will intersect at (0,0).
The third step is to find the integral over the region.
∫∫ (6e^(x^2))dxdy = ∫[0,2] (6e^(x^2))dx ∫[0,x/2] dy = ∫[0,2] (6e^(x^2))dx (x/2) = [3e^(x^2)] at [0,2] = 3e^(4) - 3e^(0) = 3(e^4 -1).
2)To find the volume of this solid, we can use the method of cylindrical shells.
we can find the function of the surface (1/3)x+(1/2)y+(1/4)z=1
by using cylindrical coordinates:
x = rcosθ , y = rsinθ , z = z
and substitute them in the equation (1/3)x+(1/2)y+(1/4)z=1
(1/3)rcosθ+(1/2)rsinθ+(1/4)z=1
(1/3)r(cosθ+2sinθ)+(1/4)z=1
z = 4(1-(1/3)r(cosθ+2sinθ))
V = ∫∫∫ 4(1-(1/3)r(cosθ+2sinθ)) rdrdθdz = 4π ∫[0,3] (1-(1/3)r(cosθ+2sinθ)) r^2 dr = 4π ∫[0,3] (1-r+(2/3)r^2) dr = 4π(3 - (3/2) + (2/3)) = 4π(19/6).
Hence , The volume of the solid is 4π([tex]\frac{19}{6}[/tex]) and the integral of the f(x) , the line 2y=x, and x=2 is 3([tex]e^{4}[/tex] -1).
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Which expression is equivalent to
(a*b*c) f(вазь) (20°) ,
4a°ь123
Зас7
65
14
9ac
b3
0
12ас 14
63
9ас?
b5
Answer:
the answer is C, here is an app or website that u could use for math :)
Find the value of x.
12
12
x = [?]
Step-by-step explanation:
step 1. The segment x is made up of 2 equal lines which are connected in the middle to another segment 12 units long.
step 2. the intersection of these two segments must create a 90° angle because the two lines are equal.
step 3. The lower segments are identical to the upper segments.
step 4. therefore x = 11(2) = 22.
whats 5+3+8+9+10+50+100
Answer:
185 is the answer
Step-by-step explanation:
your answer is 185
Answer:
Hello! :) have a good day!
5+3+8+9+10+50+100=185
help please!!
3+12-9=
(7+4)x3-2=
2 ⁴ - 6 divided by 2 =
5+4x(2+7) =
Step-by-step explanation:
6
11х3-2=33-2=31
(16-6):2=10:2=5
5+4х9=5+36=41
Write the complete factorization of 22xy^2
Answer:
2 * 11 * x * y * y
Step-by-step explanation:
The numerical part is 22, whose prime factor form is: 2 * 11
Then the complete factorization of 22 x y^2 is:
2 * 11 * x * y * y
The complete factorization of [tex]22xy^2[/tex] is [tex]2 \times 11 \timesx \times y \times y[/tex]
Given that,
The equation is [tex]22xy^2[/tex]
Based on the above information, the calculation is as follows:
Here the numerical part should be 22 whose prime factor should be 2 and 11.
Now the complete factor should be [tex]2 \times 11 \timesx \times y \times y[/tex]
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Reina enjoys dinner at a restaurant in Alhambra where the sales tax on meals is 10%. She left a 20% tip on the price of her meal before the sales tax was added. The meal was $22. How much should she give for tip? Show your work or explain your solution.$2.20
$4.40
10%
$6.60
Answer:
Step-by-step explanation:
Your answer
Meal is 22$
10% tax, tax with price = 24.2$
She gave on tip = 4.84$
Total price = 29.04$
Mark it as Brainlist answer. Follow me.
the product of the present ages of Two Sisters is 150. 5 years ago, the elder sister was twice as old as her younger sister find their age
The younger sister is 10 years old and the elder sister is 15 years old.
Let's represent the present ages of the two sisters as x and y, where x is the age of the elder sister and y is the age of the younger sister.
According to the given information, the product of their present ages is 150:
x * y = 150 ---(1)
It is also stated that 5 years ago, the elder sister was twice as old as her younger sister:
x - 5 = 2 * (y - 5) ---(2)
We can now solve these two equations simultaneously to find the ages of the two sisters.
From equation (2), we can simplify:
x - 5 = 2y - 10
x = 2y - 10 + 5
x = 2y - 5
Substituting this value of x into equation (1), we have:
(2y - 5) * y = 150
2y^2 - 5y = 150
2y^2 - 5y - 150 = 0
Now we can solve this quadratic equation either by factoring, completing the square, or using the quadratic formula. By factoring, we find:
(2y + 15)(y - 10) = 0
This gives us two possible solutions for y:
2y + 15 = 0 --> y = -7.5 (Discard this since age cannot be negative)
y - 10 = 0 --> y = 10
So, the younger sister is 10 years old.
To find the elder sister's age, we can substitute this value of y into equation (2):
x = 2y - 5
x = 2 * 10 - 5
x = 20 - 5
x = 15
Therefore, the elder sister is 15 years old.
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2 3
X 8 4
What’s the answer?
Answer:
1932
Step-by-step explanation:
Answer:
1932
...................
Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them. What’s the independent and dependent variables ?!?!!
nariz :( jsjsjs f kmambsudbe
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 1 -Xt 3 1 = } 2x+5 o 2 o 3 6 O 12
Correct question is;
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 – ¾x + ⅓ = ½x + 5
Answer:
12
Step-by-step explanation:
We are given the equation as;
6 – ¾x + ⅓ = ½x + 5
In order to find out the number that each term can be multiplied by, we will need to express each denominator as a product of its prime factors to find the lowest common factor.
Thus;
Factors of 4 = 1 × 2 × 2
Factors of 3 = 1 × 3
Factors of 2 = 1 × 2
Thus, LCF = 1 × 2 × 2 × 3 = 12
Using the formula Ft = mv - mu , find v , when F= 55, u= -9, t= 3, m=5
Answer:
v = 24
Step-by-step explanation:
Ft + mu = mv
v = (Ft + mu)/m = (55*3 + 5*(-9))/5 = 24
The wall street journal corporate perceptions study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of mangement and the reputation of the company were rated on an excellent, good, and fair catergorical scale. Assume sample data for 200 respondents below.
Reputation of Company
Quality of management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15
A) use a .05 level of significance and test for independence of the quality of management and the reputation of the company. What is the p-value and what is your conculsion??
B) If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.
Answer:
Hello some parts of your question is missing below is the missing part
answer : A) p-value = 0.0019 ,
The level of significance ( 0.05 ) > p-value ( 0.0019 )
B) There is no dependence between the two ratings
Step-by-step explanation:
A) using a 0.05 level of significance and test for independence of the quality of management
Test statistic : [tex]X^{2}[/tex] ∑ ( Oi - Ei )^2 / Ei
= [(40-35)^2 / 35 ] + [(25-24.5)^2 / 24.5 ] + [(5-10.5)^2 / 10.5] + [(35-40)^2 / 40] + [(35-28)^2 / 28] + [(10-12)^2 / 12] + [ (25-25)^2 / 25 ] + [(10-17.5)^2 / 17.5 ] + [(15-7.5)^2 / 7.5] = 17.03
p-value = 0.0019
Df = 4 ,
The level of significance ( 0.05 ) > p-value ( 0.0019 )
B) There is no dependence between the two ratings
Daniel is helping his mom fold the laundry. He folds towels at a constant speed. He made the following table showing how many towels he could fold in a certain number of seconds.
HELP ME PLS ASAP PLS PLZ PLZ
Answer:
540 towels
Step-by-step explanation:
cross multiply
towels time
4 120
18 x
4x=120×18
x = 540
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y= 4x + 1 ???
Step-by-step explanation:
I don't know this.. I haven't gotten to this yet so this is just a guess.. Im sorry if its wrong
PLEASE HELP I NEED THIS
Answer:
See below.
Step-by-step explanation:
1) 3 congruent sides and 3 congruent angles: equilateral, equiangular, acute
2) 2 congruent sides and a right angle: right isosceles
3) 2 congruent sides and an obtuse angle: obtuse isosceles
4) 1 obtuse angle and all different lengths of sides: obtuse scalene
5) 1 right angle and all different side lengths: right scalene
6) 2 congruent sides, all acute angles: acute isosceles
7) x + 2 = 10
x = 8
8) 10x + 3 + 10x + 3 + 34 = 180
20x + 40 = 180
20x = 140
x = 7
HELPPP DUE VERY SOON ILL GIVE BRAINLESS
Answer:
b
Step-by-step explanation:
A cookie factory uses 1/3 of a bag of flour in each batch of cookies. The factory used 2/3 of a bag of flour yesterday. How many batches of cookies did the factory make?
Please Help
Answer:
They made 2 batches
Step-by-step explanation:
If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches
Determine if the expression m+m^3-8m^4 is a polynomial function. If so, name the degree and the type of polynomial
Given a right triangle ABC, if the measure of angle A is 77', and cos (77) = sin(0).
what is the value of 0 ?
==========================================================
Rule:
If cos(A) = sin(B), then A+B = 90
This can be proven through the use of drawing a right triangle with acute angles A and B. Let's say C is the 90 degree angle.
Then note how cos(A) = adjacent/hypotenuse = AC/AB while sin(B) = opposite/hypotenuse = AC/AB. We see that both evaluate to AC/AB. So this confirms cos(A) = sin(B) is true.
The condition that A+B = 90 is from from the fact that any pair of acute angles of a right triangle are complementary angles.
-------------------------
Using that rule, we can say
cos(77) = sin(theta)
leads to
77+theta = 90
and that solves to
theta = 90-77 = 13
please help me ASAP thank you!!
Mark is buying different nuts to make a mixed nut platter to serve at a party. He buys 1.2 kilograms of peanuts, 300 grams of almonds and 40 dekagrams of cashews. What is the total weight in grams of the nuts he purchased? Enter only the number. Do not include unit
Answer:
1900
Step-by-step explanation:
1 kg = 1000g
1.2kg = x
1 kgx = 1200 kg.g
1kg. 1kg
x = 1200 g
1 decagram = 10g
40 decagram = x
1 dg.x = 400 dg.g
1 dg. 1 dg
x = 400g
so the total= 1200g +300 + 400g=1900g
without the unit = 1900
what is the anwser pls help
Answer:
b. 0.09
Step-by-step explanation:
0.09 is the only one smaller than 0.59
0.59>0.09
Answer:Its D
Step-by-step explanation:
5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?
Answer:
3/4
Step-by-step explanation:
2- 1 1/4= 3/4
Answer:
3/4
Step-by-step explanation:
someone answer this pls-
Answer:
c
Step-by-step explanation:
Answer:
C. $37.39
Step-by-step explanation:
We have our original value, $37.69, and we are given a table that adds or subtracts a certain amount. The question is asking what is the final product by Friday.
To solve, all we have to do is subtract and add the price of stock per each day.
$37.69
On Tuesday, the stock price went up by $0.69 cents.
So we must add .69 to 37.69
37.69 + .69
38.38
On Wednesday, the stock price lowered by 82 cents.
So we subtract .82 from 38.38
38.38 - .82
37.56
On Thursday the stock price gained 37 cents, so do the same you did for Tuesday.
37.56 + .37
37.93
On Friday the stock price went down by 14 cents, so do the same you did for Wednesday.
37.93 - .14
37.79
Identify the sampling technique used. Thirty-five sophomores, 24 juniors and 25 seniors are randomly selected from 388 sophomores, 418 juniors and 573 seniors at a certain high school. systematic random convenience O cluster stratified
a ball has a volume of 2 cubic inches .use the fact that l inch is equal to 2.54 cm to convert this volume to cubic centimeters
Answer:
32.77 cm³
Step-by-step explanation:
From the question given above, the following data were obtained:
Volume of ball (in in³) = 2 in³
Volume of ball (in cm³) =.?
From the question given above, we were told that:
1 in = 2.54 cm
Therefore,
1 in³ = 2.54³ cm³
Finally, we shall convert 2 in³ to cm³. This can be obtained as follow:
1 in³ = 2.54³ cm³
Therefore,
2 in³ = 2 in³ × 2.54³ cm³ / 1 in³
2 in³ = 32.77 cm³
Thus, 2 in³ is equivalent to 32.77 cm³
A. 2 sqrt 3
B. 4
C. 8
D. 4 sqrt 6
E. 12
Ce clasă ești sa văd daca te pot ajuta
Select the correct answer.
Consider these functions:
f(x)= 1/3x2 + 4
g(x)=9x – 12
What is the value of g(f(x))?
There are step by steps explaination in the picture
Which of the equations or
inequalities below are true?
O A. 7-274
O B. 7-2 5 5
D C. 7 - 2 = -5
D. 7-2 > 6
Answer:
C
Step-by-step explanation:
Have a great day ^^ :)
I need help on this question!??
Answer:
The only thing you will do is to plug the x in the equation.
x = -2 ---> f(x) = -6
x = 0 ---> f(x) = 0
x = 3 ---> f(x) = 9
x = 7 ---> f(x) = 21
f(x) = 3x
f(-2) = 3(-2)
f(-2) = -6
f(0) = 3(0)
f(0) = 0
f(3) = 3(3)
f(3) = 9
21 = 3x
21 / 3 = 3x / 3
7 = x
Hope this helps, thank you :) !!