The value of the iterated integral in cylindrical coordinates ∫ 0 −2 ∫ √4 − x2 −√4 − x2 ∫ 3 0 xy^2 dz dy dx is 0.
To change the integral to cylindrical coordinates, we need to express the bounds and the integrand in terms of cylindrical coordinates.
In cylindrical coordinates, we have:
x = r cosθ
y = r sinθ
z = z
where r is the radius, θ is the angle in the xy-plane, and z is the height.
The region of integration is the cylinder with radius 2, centered at the origin, and height 3 to 0. So the bounds are:
0 ≤ r ≤ 2
0 ≤ θ ≤ 2π
0 ≤ z ≤ 3
The integrand is given by:
\(xy^2\)
Substituting x and y with their cylindrical coordinate expressions, we get:
\(xy^2\) = \(r^3\)cosθ \(sin^2\)θ
Therefore, the integral becomes:
∫₀² ∫₀²π ∫₀³ r³ cosθ sin²θ dz dθ dr
The innermost integral with respect to z is easy to compute:
∫₀³ r³ cosθ sin²θ dz = [r³ cosθ sin²θ z]₀³ = 3r³ cosθ sin²θ
The middle integral with respect to θ is also easy to compute:
∫₀²π 3r³ cosθ sin²θ dθ = 0 (by symmetry)
Therefore, the integral reduces to:
∫₀² 0 dr = 0
So the value of the iterated integral is 0.
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Helloooo please give the right answer :)
Answer:
9 feet
Step-by-step explanation:
3X3=9 feet therefore 3 yards is equal to 9 feet
ill give brainliest if right
Answer:
A triangle's total sum of angles is 180 °
19x + 66 = 180
19x = 114
x = 6
4(n+10)????????????????!!
Answer:
4n+40
.................
Apply In Bhutanese architecture, the faces of
buildings are trapezoids. If the row of decorative
brick shown is 28.5 feet wide, what is the width
of the base of the building?
Answer:
Understand Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that ... 9. △ADW ≅ △CDZ. 9. SAS. 9. Apply In Bhutanese architecture, the faces of buildings are trapezoids. If the row of decorative brick shown is 28.5 feet wide, what is the width of the base of the building? 25 ft. 16 ft. 16 ft.
Step-by-step explanation:
Which number is the base?
(-14)^3
Answer: -2744
Step-by-step explanation:
Find an equation for the line that passes through the points (-5, -5) and (3, 5)
Answer:
5x-4y+5=0.
Step-by-step explanation:
1) if the point A(-5;-5) and B(3;5), the formula is:
\(\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A}\)
2) according to the formula above:
\(\frac{x+5}{3+5} =\frac{y+5}{5+5}; \ = > \ \frac{x+5}{4}=\frac{y+5}{5};\)
or 5x-4y+5=0.
The total number of fans is attendance at a Wednesday baseball game was 48,268. The game had 12,568 more fans than the Tuesday game the day before. How many fans attended each game?
Melissa and Rachel like to make funny hats. Melissa has made
20
2020 zebra-printed hats, and Rachel has made
h
hh striped hats. Together they have made a total of
42
4242 hats.
Write an equation to describe this situation.
Answer:
20 + r = 42
Step-by-step explanation:
Let r = the number of hats Rachel has made
Melissa's hats + Rachel's hats = total hats
20 + r = 42
To make an equation on how many Rachel made, we can just add.
20 + h = 42
Solve for h.
20 + h = 42
~Subtract 20 to both sides
h = 22
Best of Luck!
From a survey of coworkers you find that 42% of 150 have already received this year's flu vaccine. An approximate 95% confidence interval is (0.339.0.501). Which of the following are true? If not, explain briefly. ses a) 95% of the coworkers fall in the interval (0.339,0.501). b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 33.9% and 50.1%. om c) There is a 95% chance that a randomly selected coworker has received the vaccine. d) There is a 42% chance that a randomly selected coworker has received the vaccine. e) We are 95% confident that between 33.9% and 50.1% of the samples will have a proportion near 42%.
The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, it is true that 95% of the coworkers fall within the interval (0.339, 0.501), and we can be 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%. However, it is false to say that there is a 95% chance that a randomly selected coworker has received the vaccine or that there is a 42% chance for a randomly selected coworker to have received the vaccine.
The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, we can determine which of the following statements are true:
a) 95% of the coworkers fall in the interval (0.339, 0.501).
This statement is true. The 95% confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that 95% of the coworkers fall within the interval (0.339, 0.501).
b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 33.9% and 50.1%.
This statement is true. The 95% confidence interval (0.339, 0.501) provides us with a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that we are 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%.
c) There is a 95% chance that a randomly selected coworker has received the vaccine.
This statement is false. The 95% confidence interval does not represent a probability or chance for an individual coworker. It provides a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. It does not give information about the likelihood of an individual coworker receiving the vaccine.
d) There is a 42% chance that a randomly selected coworker has received the vaccine.
This statement is false. The 42% represents the proportion of coworkers in the survey who have received the flu vaccine, but it does not represent the chance or probability for a randomly selected coworker to have received the vaccine. The 42% is a point estimate, not a probability.
e) We are 95% confident that between 33.9% and 50.1% of the samples will have a proportion near 42%.
This statement is false. The confidence interval (0.339, 0.501) does not directly provide information about the proportion of samples that will have a proportion near 42%. The confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies, but it does not specifically address the proportion of samples near 42%.
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A storage container shaped as a rectangular prism can hold 896 wooden cube blocks with edge lengths of 1/4 ft.
what is the volume of the container?
enter your answer in the box.
If the storage container can hold 896 wooden cube blocks with edge length of 1/4 ft , then the volume of the container is 14 ft³ .
The shape of the storage container is rectangular prism ,
the number of cube blocks that the container can hold is = 896 wooden cube ,
the edge length of each cube is = 1/4 ft ,
we know that the volume of cube is = (edge length)³ ,
So , the volume of the container is = 896 × (1/4)³ ,
= 896 × (1/64) ,
On simplifying ,
we get ,
= 14 .
Therefore , the volume of the cube is 14 ft³ .
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18. An electronics store makes a profit of $72.00 for every television sold and $90.00 for every computer sold. (1 point)
The manager's target is to make at least $360.00 a day on sales from televisions and computers. Let x =
the number of televisions sold. Let y = the number of computers sold. Which of the following represents
three possible solutions to the problem?
The correct answer is D) x = 5, y = 3; x = 4, y = 4; x = 3, y = 5.
Which of the following best encapsulates the problem's three potential solutions?A) x = 4, y = 0; x = 3, y = 1; x = 2, y = 2B) x = 5, y = 2; x = 4, y = 2; x = 3, y = 3C) x = 4, y = 3; x = 3, y = 4; x = 2, y = 5D) x = 5, y = 3; x = 4, y = 4; x = 3, y = 5The correct answer is D) x = 5, y = 3; x = 4, y = 4; x = 3, y = 5.To meet the manager's target, the store must make at least $360.00 a day on sales from televisions and computers.To do this, the store must sell at least 5 televisions or 3 computers, or a combination of the two, to make $360.00.The store also has to make sure that the total profit from sales of televisions and computers adds up to $360.00.The solutions that satisfy this requirement are x = 5, y = 3; x = 4, y = 4; x = 3, y = 5.This means that the store must sell 5 televisions, 4 computers, or a combination of 3 televisions and 3 computers.By selling this combination of products, the store will make a total profit of $360.00, thus meeting the manager's target.To learn more about the algebraic concept of linear equations and inequalities refer to:
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person who gets it right gets brainliest
it is given that BD and AE are parallel. If BC is 3 units AB is 6 units and DE is 8 units, what is the measure of CD?
A 2 units
B 4 units
C 12 units
D 3 units
what is 5/11 as a decimal
a plumer charges $25 for a service call plus $50 per hour of service. write an equation in slope - intercept form for cost , c ,after h hours of service, what will be the total cost for 8 hours of work? 10 hours of work
The total cost for 10 hours of work would be 25 + 50(10) = 525.
What is cost?Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.
The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.
The total cost for 8 hours of work would be 25 + 50(8) = 425.
The total cost for 10 hours of work would be 25 + 50(10) = 525.
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If a food item with an original (AP) weight of 4 pounds at a cost of $1.10 per pound yields a servable weight of 2 pounds, what is the cost per servable pound for this food item? a. $0.50 b. $1.50 c. $2.20 d. $4.40
Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.
The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.
The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):
Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.
Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.
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Mr. Green’s hobby was restoring old houses. He recently purchased an old rundown house that needed a lot of repair, especially with the plumbing. The kitchen faucet dripped all day and night. It intrigued Mr. Green how much water dripped from this faucet in one day, but he surely didn’t want to sit and watch the faucet drip all day. So he figured that if he could discover how much water dripped within a certain time span, he could calculate the dripping rate for any time span. In his first observation he noted that 6 ounces of water dripped in 10 minutes.
A) Using Mr. Green’s observation, can you help him figure out how much water would have dripped in only 5 minutes?
Answer:
3 ounces of water
Step-by-step explanation:
If 6 ounces of water dripped in 10 minutes, then that means that in HALF the time (5 minutes), HALF the amount of water would drip, which is 3 ounces.
HELPPPPPPPP PLS I have POINTS
plz answer fast i need the answers thank u
Answer:
Step-by-step explanation:
(-5 , 2) here -5 is x coordinate and 2 is y coordinate since x coordinate is negative and y coordinate is positive it lies in II quadrant.
(2 , -5) here 2 is x coordinate whereas -5 is y coordinate and siince x coordiante is positive and y coordinate is negative it lies in IV quadrant.
(x^3 - 2)(x^2 + 11)
to find the degree of polynomial first u need to factor this out
x^3(x^2 + 11) -2(x^2 + 11)
x^3 * x^2 + x^3 * 11 - 2 * x^2 - 2 * 11
x^3+2 + 11x^3 - 2x^2 - 22
x^5 + 11x^3 - 2x^2 - 22
since the highest degree is 5 the degree of the polynomial is also 5.
Step-by-step explanation:
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What is the line of this slop :( ?
If principal=p,rate of interest=R and time=T,then write the formula to find the compound amount
It is given that P = principal, R = rate of interest and T = time
Formula to find compound interest is:
A = P(1 + R/100)^T
where A = amount received after n years
P = principal amount invested
R = rate of interest
T = time for which the amount is invested
The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.
It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.
Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.
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11(7+9) using distributive property
Answer:
176
Step-by-step explanation:
Apply PEMDAS
Solve the parenthesis first
11 ( 7 + 9 )
11 ( 16 )
Now open the parenthesis and you will have your answer
11 times 16
176
Find the length of an arc of an 8" radius circle if the arc measures 45°
271 in.
871 in.
1671 in.
Answer:
Step-by-step explanation:
The appropriate formula here is s = rФ, where Ф is the central angle in radians. We are given r = 8" and Ф = π/4 radians. Then the desired arc length is
s = (8")(π/4), or s = 2π or approximately 6.28". The three given possible answers are 'way off.
I need help please bsbshshhdbdbdbdbbdbdbfbdbdndn
Answer:
x is 3.4 i think
Step-by-step explanation:
Two friends shop for fresh fruit. Elena buys a watermelon for $8.55 and 5 pounds of cherries. Taniy buys a pineapple for $4.45 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Elena spent.
The expression to represent how much more Elena spent is 4.1 + p.
How to find the expression to represent a situation?Two friends shop for fresh fruit. Elena buys a watermelon for $8.55 and 5 pounds of cherries. Taniya buys a pineapple for $4.45 and 4 pounds of cherries.
Therefore, the expression to represent how much more Elena spent can be represented as follows:
hence,
p = price in dollars, per pound of cherries.
Hence,
amount Elena spent more = 8.55 + 5p - (4.45 + 4p)
amount Elena spent more = 8.55 + 5p - 4.45 - 4p
amount Elena spent more = 8.55 - 4.45 + 5p - 4p
Therefore,
amount Elena spent more = 4.1 + p
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below the paraboloid z = 18 − 2x2 − 2y2 and above the xy-plane
Answer:
y
2
=−
2
z
+7
Steps for Solving Linear Equation
z=18−2×2−2y2
Multiply 2 and 2 to get 4.
z=18−4−2y
2
Subtract 4 from 18 to get 14.
z=14−2y
2
Swap sides so that all variable terms are on the left hand side.
14−2y
2
=z
Subtract 14 from both sides.
−2y
2
=z−14
Divide both sides by −2.
−2
−2y
2
=
−2
z−14
Dividing by −2 undoes the multiplication by −2.
y
2
=
−2
z−14
Divide z−14 by −2.
y
2
=−
2
z
+7
Step-by-step explanation:
the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.
we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.
Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.
the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.
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Find f'(a).
f(x) = 3x^2 − 4x + 1 2t + 1
f(t) = (2t + 1)/t+3
f(x) = √(1 - 2x)
Given the following functions:f(x) = 3x² − 4x + 1f(t) = (2t + 1) / (t + 3) f(x) = √(1 - 2x)We need to find f'(a) which is the derivative of the function at x = a. We can find it using the derivative formulas of the functions given above.
First function:f(x) = 3x² − 4x + 1Let's find the derivative of the function: f'(x) = 6x - 4Now, f'(a) = 6a - 4.
Second function\(:f(t) = (2t + 1) / (t + 3\))We can find f'(t) using the quotient rule of differentiation:\(f'(t) = [ (2(t + 3)) - (2t + 1) ] / (t + 3)\)²Simplifying this expression, we get:f'(t) = -1 / (t + 3)²So, f'(a) = -1 / (a + 3)²
Third function:f(x) = √(1 - 2x)We can use the chain rule of to find differentiation f'(\(x):f'(x) = [ -2 / (2 √(1 - 2x)) ] (-1) = -1 / √(1 - 2x)\)Thus, f'\((a) = -1 / √(1 - 2a\)).Therefore, the value of f'(a) for each of the given functions is as follows:f\((x) = 6a - 4f(t) = -1 / (a + 3)²f(x) = -1 / √(1 - 2a)\)
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write a brief paragraph (3-5 sentences) describing both the mathematical and practical differences between simple and compound interest. include an explanation of why simple interest involves adding a common difference and compound interest involves multiplying by a common ratio
Difference between Simple interest and Compound interest
What is Interest?
The expense of borrowing money, such as the interest added to a loan debt, is known as interest. The rate paid for money on deposit, as in the case of a certificate of deposit, can also be considered interest. Simple interest and compound interest are the two methods for calculating interest.
Simple interest is based on the principal amount, which is the main distinction between it and compound interest. Contrarily, compound interest is calculated using the principle sum and interest that has been compounded over the course of a period.
Simple Interest and Compound Interest Differences:
Simple interest: Simple Interest is the amount repaid for using the borrowed funds over a predetermined amount of time.
Compound Interest: When the total principal amount and the rate of interest for a certain amount of time surpass the due date for payment, this is known as compound interest.
Simple interest: S.I. = (P × T × R) ⁄ 100
Compound Interest: C.I. = P(1+R⁄100)^t − P
Simple interest: When compared to compound interest, the return is significantly smaller.
Compound Interest: The return is much higher.
Simple interest: The principal amount is constant
Compound Interest: Throughout the entire loan duration, the principle amount changes.
Simple interest: The principal amount is what the interest is based on.
Compound Interest: Its principal and accrued interest are covered by the interest that is imposed on it.
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as discussed in the wall street journal story, weighting is designed to adjust poll results to give more weight to people whose demographic characteristics are under-represented in the sample and less weight to people whose demographic characteristics are over-represented. think about how certain demographic groups might end up being under or over-represented (that is, there are too many or too few people in the sample from that group, compared to the population as a whole). weighting can therefore potentially help fix which types of bias? (check all that apply.)
Using the concepts of weighting, we got that demographic groups helps in fixing difference between the levels of different people if there are many or too few people in the sample from that group, compared to the population as a whole.
Demographic segmentation examples actually explain how researchers divide a market into the smaller groups according to age, gender, family income, race and ethnicity, qualification, marital status, nature of the employment, etc.
It is an extremely tedious task to the accommodate customers belonging to different demographics and develop the exhaustive marketing plan. Demographic examples ease creating the strategy for a marketer. Thus, they are one of most commonly implemented marketing segmentation methods compared to the other techniques such as geographic segmentation, behavioral segmentation, or the psychographic segmentation.
Hence, certain demographic groups might end up being under or over-represented means that there are too many or too few people in the sample from that group, compared to the population as a whole, in that case weighting can therefore potentially helps in fixing the difference in the levels of different people.
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The map of Texas shows several major cities in Texas. On the map 1 inch (in) represents
75 miles (mi). Use the map to answer questions 1-3.
Answer:
1. 150mi
2. 2&1/2
3. He needs to know how many miles is each city.
Step-by-step explanation:
Jack ran a total of 30 miles over the course of 15 track practices. How many track practices would it take for Jack to run 44 miles? Solve using unit rates.
My brain isn’t functioning and i need this done before December 21.
Answer:
22
Step-by-step explanation:
Use a proportion.
30/15 = 44/x
30x = 15 × 44
2x = 44
x = 22
Answer:
22
Step-by-step explanation:
30 miles/ 15 sessions of tract practice
Per practice Jack is running a total of 2 miles.
So 44 miles/2 miles
22 sessions of track practice