The value of the triple integral E x² + y2 + z2 = 4 with 0 < y, is in the interval (0, 30). SIS (22+ + 2y+)dV where E is the portion of = Select one: O True O False In R3, the point (1,1,1) does not belong to the sphere x2 + y2 + 2 = 3. - Select one: O True O False

Answers

Answer 1

The statement is True. The point (1,1,1) does not belong to the sphere x² + y² + 2 = 3, and the value of the triple integral ∫E x² + y² + z² = 4 with 0 < y is in the interval (0, 30).

Here,

Given:

In R3, the point (1,1,1) does not belong to the sphere x² + y² + 2 = 3.

To Check: True or False

The sphere can be represented as below:x² + y² + 2 = 3

Simplifying the above equation:x² + y² = 1

For (1,1,1) to belong to the sphere, it must satisfy the above equation by replacing x, y, and z values as follows: x=1, y=1, z=1

When we substitute the above values in the equation x² + y² = 1, it does not satisfy the equation.

Hence, the statement is True.

The value of the triple integral E x² + y² + z² = 4 with 0 < y, is in the interval (0, 30).It can be calculated as follows:

Let the triple integral be denoted by I.

I = ∫E x² + y² + z²  dx dy dz

Where E represents the region in R3 defined by the conditions:

0 < y

x²+y²+z² ≤ 4y > 0

On simplification, the integral becomes:

I = {32\pi}/{3}

By considering the value of y such that 0 < y < 2, the interval is (0, 30).

Hence, the statement is True.

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Related Questions

Which of the following is a coefficient in -11x + 9m + 7?

Answers

11 and 9 are coefficient
Because they both have a variable to them.
11 and 9 are coefficient

Standard Notations 3.042 x 10²

Answers

74100

170000

36000

I believe this is right!

What is the difference?

−43−(−15)

Enter your answer in the box.
Please help! :)
And hurry!

Answers

Answer:

-28 is the correct answer

Answer: -28 is your answer!

Step-by-step explanation: Hope this helped, just make sure you study so you ACE any exam you get! Studying and taking notes is v/ helpful. You got this!

if x is a poisson distributed random variable with a mean of 3, and y is another poisson distributed random variable with a mean of 2, and the two are independent, what is the variance of the sum x y?

Answers

The variance of the sum Z = X + Y is 5.

What is Variance?

A set of numerical data's spread or dispersion is measured by the term "variance." It describes the deviation of a data set's values from its mean (average). The variance indicates how evenly distributed the data is; conversely, the variance indicates how closely the data is grouped around the mean.

If X is a Poisson-distributed random variable with mean X = 3 and Y is a second Poisson-distributed random variable with mean Y = 2, and X and Y are independent, then the variance of the sum Z = X + Y is given by:

Var(Z) = Var(X) + Var(Y) = μX + μY = 3 + 2 = 5.

So, the variance of the sum Z = X + Y is 5.

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If y is a second Poisson distributed random variable with a mean of 2, and both x and y are independent Poisson distributed random variables, then the variance of the sum Z = X + Y is 5.

What is Variance?

A set of numerical data's spread or dispersion is measured by the term "variance." It describes the deviation of a data set's values from its mean (average). The variance indicates how evenly distributed the data is; conversely, the variance indicates how closely the data is grouped around the mean.

If X is a Poisson-distributed random variable with mean X = 3 and Y is a second Poisson-distributed random variable with mean Y = 2, and X and Y are independent, then the variance of the sum Z = X + Y is given by:

Var(Z) = Var(X) + Var(Y) = μX + μY = 3 + 2 = 5.

So, the variance of the sum Z = X + Y is 5.

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If a,b,c are in G.P., prove that a^n,b^n,c^n are also in G.P.​

Answers

Step-by-step explanation:

since, a,b,c are in GP.

\( \mathsf{\frac{b}{a} = \frac{c}{b}} \)

upon cross multiplying, we get

b² = ac . . . . . (¡)

We have to prove if a^n, b^n and c^n are also in GP.

We'll simply write these numbers in the bove format and if both the sides are equal in the end, it's proved else it's not.

\( \mathsf{ \frac{ {b}^{n} }{ {a}^{n} } = \frac{ {c}^{n} }{ {b}^{n} } }\)

once again cross multiplying

\( \mathsf{ \ {(b {}^{2}) }^{n} = {a}^{n}{c}^{n} }\)

\( \mathsf{ \ {(b {}^{2}) }^{n} = {(ac)}^{n} }\)

from eqn. (¡) b² = ac

\( \implies \mathsf{ {(ac)}^{n} = {(ac)}^{n} }\)

both the sides are equal, sooo our assumption was correct a^n, b^n, c^n are in GP.

Please help me! I will Venmo you 20 dollars and you lll get 35 points if I get an answer in less than 30 minutes. PLEASE HELP WITH THE WHOLE THING.

Please help me! I will Venmo you 20 dollars and you lll get 35 points if I get an answer in less than

Answers

Answer:

3) 4(x-3)=2x+8

4) 3(x+5)=2x+2(2x-3)

5b) 150+72x=240+54x

6) 40+5x=340-45x

7)4x-5500=15(x)  

hopefully this helps! let me know if it does not sure if its completely right still working on the other problems

Step-by-step explanation:

juan needs to make a total of 40 deliveries this week. so far he has completed 18 of them. what percentage of his total delivery has juan completed

Answers

Answer:

45.00%

Step-by-step explanation:

The total answers count 40 - it's 100%, so we to get a 1% value, divide 40 by 100 to get 0.40. Next, calculate the percentage of 18: divide 18 by 1% value (0.40), and you get 45.00% - it's your percentage grade.

Please rate me brainliest

How do I do this I need help

How do I do this I need help

Answers

Answer:

Step-by-step explanation:

Complement 90-x

90-8=82

90-41=49

90-36=54

90-65=25

90-89=11

90-73=17

Suplement 180-x

180-8=172

180-41=139

180-36=144

180-65=115

180-89=101

180-73=107

Answer:

hope i got everything correct()

26. Supplementary: 172

Complementary: 82

27. Supplementary: 144

Complementary: 54

28. Supplementary: 91

Complementary: 1

29. Supplementary: 139

Complementary: 49

30. Supplementary: 115

Complementary: 25

31. Supplementary: 107

Complementary: 17

Step-by-step explanation:

Another thing, supplementary means adding to 180 so 180 minus the number you want to find the supplement of = the supplement

and complementary means adding to 90 so 90 minus the number you want to find the complement of = teh complement

A test of the hypotheses H0: Mu=0 versus Ha: Mu>0 was conducted using a sample size of 7. The test statistic was t = 1.935. Which of the following is closest to the p-value of the test?

A. 0.0125
B. 0.0265
C. 0.0471
D. 0.0506
E. 0.1012

I was taking a practice to prepare for the ap exam and stumbled across this question. I completely guessed and got it right. The answer is Dn apparently. I have no idea how to do this. Could someone please explain how to find the p-value in this scenario?

Answers

The closest approximation of the p-value of the distribution is 0.0506

Given data ,

Now , the t-distribution table with 6 degrees of freedom (sample size - 1), we find that the t-value for a one-tailed test with a significance level of 0.05 is 1.943

And , We can see that the p-value will be more than 0.05 because our test statistic of 1.935 is smaller than 1.943. The likelihood that a t-statistic with 6 degrees of freedom or less is larger than 1.935 is known as the p-value since this is a right-tailed test.

Using a t-distribution table with 6 degrees of freedom, the p-value for t > 1.935 is approximately 0.0506

Hence , the p-value of the test is 0.0506

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A triangle has an area of 20 in2. If the height
of the triangle is 5 inches, find the base of the
triangle.

Answers

Answer:

See the picture for the answer

A triangle has an area of 20 in2. If the heightof the triangle is 5 inches, find the base of thetriangle.

Step-by-step explanation

Answer: The base of the triangle is 15 inches

Formula for area of a triangle: A = bh/2

Subsitute values into the formula:

150 = b(20)/2

Now solve for b

150 = b20/2

x 2           x2

--------------------

300 = b20

300/20 = b20/20

15 =

The base of the triangle is 15 inches

If f(x)=16x-30 and g(x)=14x-6, for which value of x does (f-g)(x)=0?

12
13
14

Answers

The value of x for which (f - g)(x) = 0 is x = 12.

To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:

(f - g)(x) = f(x) - g(x)

= (16x - 30) - (14x - 6)

= 16x - 30 - 14x + 6

= 2x - 24

Now, we can set the expression equal to zero and solve for x:

2x - 24 = 0

Adding 24 to both sides:

2x = 24

Dividing both sides by 2:

x = 12

Therefore, the value of x for which (f - g)(x) = 0 is x = 12.

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the standard deviation is the square root of the variance T/F

Answers

The statement "the standard deviation is the square root of the variance" is TRUE.What is the standard deviation?The standard deviation is a statistical measure that calculates the amount of variability or dispersion in a set of data.

It quantifies the distribution's spread by measuring the average distance of each point from the mean. In other words, it's a measure of how much the values in a data set deviate from the mean.What is the variance?Variance is a statistical measure that quantifies the distribution's dispersion.

It is defined as the average of the squared distances of each data point from the mean of the data set. It provides information on how spread out the data is with regard to the mean.Standard Deviation vs VarianceThe variance and standard deviation are two closely related statistical measures.

The variance is computed by squaring the standard deviation. To calculate the standard deviation, take the square root of the variance. In simpler terms, the standard deviation is the square root of the variance.Therefore, the statement "the standard deviation is the square root of the variance" is TRUE.

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The diagram shows a triangle.
54°
94°
What is the value of z?

The diagram shows a triangle.5494What is the value of z?

Answers

Good evening,

Answer:

z=32°

Step-by-step explanation:

54°+94°+z=180° (sum of angle of triangle)

z=180-148

z=32°

Hi people I need help on this question can y’all help me pls!!!!!! Thanks

Hi people I need help on this question can yall help me pls!!!!!! Thanks

Answers

I’m pretty sure it’s 43.96 I may be wrong though!

2 times what give me 19.98?

Answers

Hey there!☺

\(Answer:\boxed{9.99}\)

\(Explanation:\)

If you want to find 2 times what will give you 19.98, you should divide it by 2.

\(19.98/2=9.99\)

Now let's try multiplying 2 by 9.99 to see if we get 19.98.

\(2*9.99=19.98\)

\(9.99\) is your answer.

Hope this helps!

Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?

Please help 60 points for a rapid answer-In the figure below which of the following is true in circle
Please help 60 points for a rapid answer-In the figure below which of the following is true in circle

Answers

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

100 percent = Sue's price. 60 percent markup. Retail price is 2 dollars.

Original cost = StartFraction New cost over percent EndFraction. Original cost = StartFraction 2.00 over 1.60 EndFraction. Original cost = StartFraction 2.00 over 1.60 EndFraction times StartFraction 10 over 10 EndFraction

Sue’s Corner Market has a markup of 60% on bottled water. If the market sells a bottle of water for $2, find the original amount that Sue pays.

Sue pays $ for a bottle of water.

Answers

Answer:

1.25

Step-by-step explanation:

did it on edge 2020

Answer:

1.25 i on edge and i got it right

Step-by-step explanation:

Suppose a city with population 500,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 24 years

Answers

Answer

The population of the city in 24 years will

be approximately 2,024,467.3206337208

What is the population in 24 years?

The formula for calculating future value:

Population:- 2,024,466

HELP ASAP The tree diagram shows all the possible combinations for heads (H) and tails (T) when 3 coins are tossed. What is the probability that the outcome has at least two heads?

HELP ASAP The tree diagram shows all the possible combinations for heads (H) and tails (T) when 3 coins

Answers

Answer:

1/2

Step-by-step explanation:

4 out of 8 of the outcomes have at least to heads so it would be 4/8, then you just simply that to get 1/2

Select the dot plot with the least variability.
OA.
OB.
O C.
OD.
012
6 7 8 9 1011
50 52 54 56 58 60
01234567891011

Select the dot plot with the least variability.OA.OB.O C.OD.0126 7 8 9 101150 52 54 56 58 6001234567891011

Answers

The dot plot with the least variability is the box plot B

How to determine the dot plot with the least variability.

From the question, we have the following parameters that can be used in our computation:

The dot plots A to D

By definition, the dot plot with the least variability is the dot plot with the least spread


From the list of options, we can see that

The dot plot B has the least spread with a range of 2

Hence, the dot plot with the least variability is B

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an item is regularly priced at $91 . it is on sale for 35% off the regular price. use the aleks calculator to find the sale price.

Answers

The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

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Solve using addition or subtraction 3.9 + t =4.5​

Answers

Answer:

0.6

Step-by-step explanation:

subtract 4.5 from 3.9

Hellllpppppp PLLLEASE! I need answer RIGHT NOW!!!!

Hellllpppppp PLLLEASE! I need answer RIGHT NOW!!!!

Answers

Answer:

0.25 as a fraction is 25/100, which further simplified becomes 1/4

A triangle has vertices at A (−2, −2), B (−1, 1), and C (3, 2). Which of the following transformations produces an image with vertices A′ (−2, 2), B′ (−1, −1), and C′ (3, −2)?

Answers

The transformation that produces the image with vertices A′ (−2, 2), B′ (−1, −1), and C′ (3, −2) is a reflection across the line y = x.

Find the sector area

Find the sector area

Answers

The area of the sector as shown in the diagram is 13.1 cm².

What is sector?

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

To calculate the area of the sector, we use the formula below

Formula:

A = ∅πr²/360°............................ Equation 1

Where:

A = Area of the sector∅ = Angle formed by the sector at the center of the circler = Radius of the circle

From the question,

Given:

r = 5 cm∅ = π/3Note that 2π = 360°π = 3.14

Substitute these values into equation 1

A = (π/3)×3.14×5²/2πA = 13.1 cm²

Hence, the area of the sector is 13.1 cm².

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Use the dropdown to complete the following inequality.

Use the dropdown to complete the following inequality.

Answers

Answer:

>

Step-by-step explanation:

b is clearly negative

- - = +

so therefore, subtracting the negative will result in a larger answer than adding a small positive to a negative

PLS HELP THIS IS HARD ANYONE PLS

PLS HELP THIS IS HARD ANYONE PLS

Answers

Answer:

A

Step-by-step explanation:

Point A:

The original coordinate of point A was (-6,-6).

The coordinate after the transformation is A'(1,6), which eliminates option 3.

Point B:

The original coordinate of point B was (-2,4).

After the transformation, we have B'(5,-4), which eliminates option 1 and option 4. This means that the correct answer is:

2. (x,y) → (x+7,-y)

What is the formula for the height of a triangle

Answers

A=1/2bh
•A= Área of the Triangle
•B Length of the base of the Triangle
•H Height of the base of the Triangle

pls help!!I dont know what to do

pls help!!I dont know what to do

Answers

21 ft

Hope this helped

You are the marketing manager for Coffee Junction. The revenue for the company is given by R(x)=− 32x 3+6x 2+18x+4 where R(x) is revenue in thousands of dollars and x is the amount spent each month on advertisement, in thousands of dollars. 0≤x≤25 a) At what level of advertising spending does diminishing returns start? Explain What this diminishing returns means for this company. b) How much revenue will the company earn at that level of advertising spending? c) What does 0≤x≤25 tell us with respect to this problem?

Answers

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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