evaluate the given integral over the solid ellipsoid x^2/a^2 + y^2/b^2 +z^2/c^2 < 1 . (hint: let x=au, y=bv, and z=cw. then integrate over an appropriate region in uvw-space.) ∫∫∫5|xyz|dxdydz
the value of the integral is_____

According to the graph:

There is a local minimum at (2,2)

Local maximum at (-1,4) and (5,5)

The function is decreasing in the interval:

The function is increasing in the interval:

Answer:

Local minimum: (2,2)

Local maximum: (-1,4) and (5,5)

Decreasing: [-1, 2] and [5, ∞]

Increasing: [ - ∞, - 1] and [2, 5]

Solving provided question, we can say that Using the Pythagorean theorem,  \(15^2 = h^2 + 5^2 \\\) => h = 14.14 feet

The Pythagorean Theorem, sometimes known as the Pythagorean Theorem, is the basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides. The Pythagorean Theorem, often known as the generic algebraic notation a2 + b2 = c2, states that the square that crosses the hypotenuse of a right triangle opposite the right angle equals the sum of the squares that span the sides of a right triangle.

Using the Pythagorean theorem,

\(15^2 = h^2 + 5^2 \\\)

\(h^2 =\sqrt{200}\)

h = 14.14 feet

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The solution that represents the given equality is x<= 20

What is Linear equation ?

Linear equation can be defined as the equation in which the highest degree is one.

The inequality that represents the word sentence is:

x/4 <= 5

The solution is x<=20

The quotient is the division of the first number by the second, thus the quotient of x and 4 is given by:

x/4

At most 5 means that the result is of 5 or less, thus, the inequality is:

x/4<=5

Solving it, similarly to an equation:

x <= 4*5

x <= 20

The solution is x<= 20 .

Hence, The solution that represents the given equality is x<= 20

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The statement that is not true is D. To find the image of a vector x under T: x → Ax, we calculate the product Ax.

The given options are related to properties of the linear transformation T: R^n → R^m defined by T(x) = Ax, where A is an m × n matrix with columns V1, ..., Vn.

Option A is true because the domain of T is R^n, which means T can accept any vector x in R^n as input.

Option B is true because the range of T is the set of all possible outputs of T, which is R^m.

Option C is true because a vector b is in the range of T if and only if the equation Ax = b has a solution, which means T can map some vector x to b.

Option D is not true. The image of a vector x under T is the result of applying the transformation T to x, which is Ax. Thus, to find the image of x under T, we calculate the product Ax.

Option E is true. The range of T: x → Ax is the set of all possible outputs, which is the set of all linear combinations of the columns of A or, equivalently, the span of {V1, ..., Vn}.

Therefore, the statement that is not true is D.

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Answer: 90

Step-by-step explanation:

No, Morgan is not correct. If the diameter of the second circle is twice as long as the diameter of the first circle, then the area of the second circle will be four times as great as the area of the first circle, not twice as great.

Circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

No, Morgan is not correct. If the diameter of the second circle is twice as long as the diameter of the first circle, then the area of the second circle will be four times as great as the area of the first circle, not twice as great.

The formula for the area of a circle is given by:

A = πr^2

Where A is the area and r is the radius. The radius of the first circle is half the length of its diameter, so if its diameter is d, then its radius is d/2.

If the diameter of the second circle is twice as long as the diameter of the first circle, then its radius will be 2 * d/2 = d, and its area will be:

A = πd^2 = π(2d/2)^2 = 4π(d/2)^2 = 4A

So the area of the second circle is four times as great as the area of the first circle, not twice as great.

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Answer:

(-1,1)

Step-by-step explanation:

is your answer

The quotient is \(\rm x^2+x+1\).

Given

The given equation is;

\(\rm \dfrac{x^3+1}{x-1}\)

The synthetic division method is the shortcut method to divide polynomials.

It is also known as the polynomial division method of a special case when it is divided by the linear factor.

Therefore,

The quotient is;

\(\rm =\dfrac{x^3+1}{x-1}\\\\ = \dfrac{x^3+x^2+x-x^2-x-1}{x-1}\\\\ =\dfrac{x(x^2+x+1) - 1((x^2+x+1) }{x-1}\\\\\rm = \dfrac{(x-1) (x^2+x+1)}{x-1}\\\\ = x^2+x+1\)

Hence, the quotient is \(\rm x^2+x+1\).

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Answer:

X^2-x+1   (B on edge 23

Step-by-step explanation:

because i said so

Answer:its 5

Step-by-step explanation: cuz

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

\(33\%, ~\dfrac 3{10},~0.32,~ \dfrac 13\)

Step-by-step explanation:

\(33\% <\dfrac 3{10}<0.32<\dfrac 13\)

Answer:

~

=

Step-by-step explanation:

Answer:

No it is not the same

Step-by-step explanation:

A real number is any number, positive or negative, whole number or decimal.

(EX) 1, 1.00567, -2, -2.659365

Any number!

Answer:

2 1/10 boxes were missing.

Step-by-step explanation:

It is given that,

Josh packed \(3\dfrac{2}{5}\) boxes on Tuesday

Josh packed \(2\dfrac{9}{10}\) boxes on Wednesday

After everything was moved to his new office on Wednesday afternoon, he only found \(4\dfrac{1}{4}\) boxes.

We need to find the no of boxes that are missing.

Total no of boxes packed on Tuesday and Wednesday,

\(3\dfrac{2}{5}+2\dfrac{9}{10}\\\\=\dfrac{17}{5}+\dfrac{29}{10}\\\\=\dfrac{63}{10}\)

Missing boxes :

\(M=\dfrac{17}{4}-\dfrac{63}{10}\\\\=\dfrac{41}{20}\\\\=2\dfrac{1}{20}\)

Hence, 2 1/10 boxes were missing.

The obtained value must be compared against the critical value. Hence, the correct option is b.

In hypothesis testing, the critical value is a threshold or cutoff point that is determined based on the chosen significance level (alpha level) and the distribution of the test statistic. It helps in determining whether to reject or fail to reject the null hypothesis.

After calculating the test statistic (such as z-score or t-statistic) from the observed data, it is compared to the critical value associated with the chosen significance level.

If the test statistic exceeds the critical value, it falls into the critical region, leading to the rejection of the null hypothesis.

If the test statistic is less than or equal to the critical value, it falls into the non-critical region, resulting in a failure to reject the null hypothesis.

Therefore, the obtained value must be compared against the critical value to make a decision in hypothesis testing. Hence, the correct answer is option b.

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Answer:

k = 16/33

Step-by-step explanation:

Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p

k - 2/3 = 5/8k - k

3k-2/3 = 5k-8k/8

Cross product

(3k-2)(8) = (3)(5k-8k)

24k - 16 = 15k - 24k

24k - 16 = -9k

24k + 9k = 16

33k = 16

k = 16/33

The toddler is at rest at t = 2 seconds. The toddler is at rest when the velocity, which is the derivative of the position function with respect to time, is equal to 0.

We need to find the time t for which s'(t) = 0.

Taking the derivative of s(t), we get:

s'(t) = 12t^3 - 24t^2 - 12t + 24

Setting s'(t) = 0, we can factor out a 12:

12(t^3 - 2t^2 - t + 2) = 0

We can see that t = 2 is a solution to the cubic equation in parentheses by plugging it in and verifying that the value of the expression is 0. We can then factor the cubic equation as:

(t - 2)(t^2 - t - 1) = 0

Using the quadratic formula or factoring further, we can find that the other two solutions are:

t = (1 ± sqrt(5))/2

However, we need to check that these solutions are valid by plugging them back into the original position function and making sure they correspond to a point where the toddler is at rest. We find that only t = 2 satisfies this condition, so the toddler is at rest at t = 2 seconds.

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The subdivider has to get the deposit back to Max within 30 days.

A deposit is an amount of money paid to a vendor or a seller to secure goods or services. A deposit is a partial payment made to a business in advance of a larger purchase or delivery.

A subdivision is a housing development built on a portion of land that has been divided into multiple lots. The subdivider divides a large piece of land into smaller plots and sells each lot to individuals who are looking to build their own homes, thus creating a subdivision.

Max can get his deposit back within 30 days. This is because the subdivider has to refund the deposit within 30 days if the buyer cancels the reservation of the plot due to any reason, including the delay that the subdivider has experienced.

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Answer:

Jeremiah make $66,500 in his 9th year

Step-by-step explanation:

3,500*9=31,500

35,000+31,500=66,500

Answer:

63000

Step-by-step explanation

Answer: $90

Basically all you have to do is take 100 - the percent taken off, convert it to decimal form, and divide the price by that number.

It looks like this:

100%-30% = 70%

70% to a decimal is 0.70

63$/0.70 = $90

Answer:

$90

Step-by-step explanation:

63/(1-.3)=63/.7=90

The statement "the standard deviation is a parameter, but the mean is an estimator" is false. An estimator is a random variable that is used to calculate an unknown parameter. Parameters are quantities that are used to describe the characteristics of a population.

The standard deviation is a parameter, while the sample standard deviation is an estimator. Likewise, the mean is a parameter of a population, and the sample mean is an estimator of the population mean. Therefore, the statement is false because the mean is a parameter of a population, not an estimator. The sample mean is an estimator, just like the sample standard deviation. In statistics, parameters are values that describe the characteristics of a population, such as the mean and standard deviation, while estimators are used to estimate the parameters of a population.

The sample mean and standard deviation are commonly used as estimators of population mean and standard deviation, respectively. The mean is a parameter of a population, not an estimator. The sample mean is an estimator of the population mean, and the sample standard deviation is an estimator of the population standard deviation. The sample standard deviation is an estimator of the population standard deviation. In statistics, parameter estimates have variability because the sample data is a subset of the population data. The variability of the estimator is measured using the standard error of the estimator. In summary, the statement "the standard deviation is a parameter, but the mean is an estimator" is false because the mean is a parameter of a population, while the sample mean is an estimator.

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 the number of ways to assign 20 different people to three different rooms with at least one person in each room.We can solve this problem using the concept of combinations and the Principle of Inclusion-Exclusion.

1. First, let's calculate the total number of ways to assign 20 people to 3 rooms without any constraints. This can be done using the multiplication principle: each person has 3 choices for a room, so there are 3^20 ways to assign the people.

2. Next, we need to subtract the cases where at least one room is empty. For this, we can use the Principle of Inclusion-Exclusion.

3. There are 3 ways to choose the empty room. Once we've chosen the empty room, there are 2 choices for each of the remaining 20 people, so there are 3 * 2^20 ways to assign people with exactly one empty room.

4. However, we have double-counted cases with two empty rooms, so we need to add them back. There are 3 ways to choose the room with people, and all 20 people will be in that room, so there are 3 ways to assign people with exactly two empty rooms.

5. Finally, we can calculate the answer by combining these cases:

Total ways = 3^20 - 3 * 2^20 + 3

This gives us the number of ways to assign 20 different people to three different rooms with at least one person in each room.

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Answer:

14 quarters and 1 nickel

Answer: The difference is 8.92

Step-by-step explanation:

21.12 - 12.2 = 8.92

Answer:8.92.

Step-by-step explanation: you just subtract the two numbers

Answer:

67.5°

Step-by-step explanation:

360 = 90 + 3x + x

360 - 90 = 3x + x

270 = 4x

270 ÷ 4 = x

67.5 = x