please help asap !!!

The instantaneous rate of change of f equals the average rate of change of f at 2 points in the closed interval [0, √π]: x = 0.673 and x = 1.325.

To find the points in the closed interval where the instantaneous rate of change of f equals the average rate of change of f, we need to set up the equation for the derivative of f and the formula for the average rate of change of f on the interval.

First, we can evaluate the integral to get:

f(x) = ∫x^2 0 (sin t) dt = 1 - cos x^2

Next, we can find the derivative of f:

f'(x) = sin x^2 * 2x

To find the average rate of change of f on the interval [0, √π], we can use the formula:

Average rate of change of f = [f(√π) - f(0)] / (√π - 0)

= [1 - cos π] / √π

= 2 / √π

Now, we can set up the equation:

f'(x) = 2 / √π

sin x^2 * 2x = 2 / √π

sin x^2 = 1 / (√π x)

We can solve for x numerically using a graphing calculator or computer software. The solutions are approximately x = 0.673 and x = 1.325. Since these solutions are within the interval [0, √π], they are valid solutions.

Therefore, the instantaneous rate of change of f equals the average rate of change of f at 2 points in the closed interval [0, √π]: x = 0.673 and x = 1.325.

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The false statement among the given options is: The z value corresponding to a given value of x assumes any value between 0 and 1.

In statistics, the standard normal distribution is a continuous probability distribution that has a mean of 0 and a standard deviation of 1. Any normal distribution can be converted into a standard normal distribution by using a method called standardization, which involves converting the data into z-scores.

The z-score, also known as the standard score, indicates the number of standard deviations from the mean that a data point is. If the z-score is positive, the data point is above the mean, while if the z-score is negative, the data point is below the mean.

Therefore, the statement that "the z value corresponding to a given value of x assumes any value between 0 and 1" is false. The z-value can assume any value, whether positive or negative, depending on the position of the data point with respect to the mean, but it is never between 0 and 1.

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Answer:

Length of EF is greater than the length of GH

Length of EF is 14.65 cm

Length of GH is 9.77 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1:

Butterflies is greater than Snails

More=addition

GP: 28+9=B

Step 2:

28+2=30

30+7=37

Answer: 37 Butterflies

Hope this helps!

Given that,

Total butterflies = 28

Total snails = 9

More butterflies than snails are = butterflies + snails

\(\implies28+9\)

\(\implies 37\)

Therefore, there are 37 butterflies.

Answer:

Hey but you get better at in no time lol

Step-by-step explanation:

no need to worry

A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.

To calculate the required sample size, we can use the formula:

n = (\(z^2\) * p * q) /\(e^2\)

where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).

Substituting the values, we get:

n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)

Solving for n, we get:

n ≈ 329

Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.

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Answer:

Yes, he is correct

Step-by-step explanation:

Represent Michael's home with M and his mother's with H

So, we have:

\(M = 12\ ft (below)\)

\(H = 12\ ft (above)\)

Required

Is Michael correct?

First, we get the numeric values of the given parameters.

Below sea level means negative:

So:

\(M = 12\ ft (below)\) will be rewritten as:

\(M = -12\)

Above sea level means positive:

So:

\(H = 12\ ft (above)\) will be rewritten as:

\(H = 12\)

Two numbers \(A\ and\ B\) are said to be opposite if \(A + B=0\)

For Michael to be correct:

\(M + H = 0\)

Substitute values for M and H

\(-12 + 12 = 0\)

\(0 = 0\)

Hence, Michael is correct

The area of triangle ABC if area of ABD = a and area of AEC = b is; (b + a) sq. units

The formula for the area of a triangle is;

Area = ¹/₂ × base × height

Thus;

Area of Triangle ADB is;

Area of ΔADB = ¹/₂ × AB * h_d

The area of the triangle AEB is;

Area of ΔAEB = ¹/₂ × AB * h_e

Due to the fact that AB and p are parallel lines, then it means we can say that; h_d = h_e

Therefore by substitution property, we can say that;

Area of ΔADB = Area of ΔAEB

Thus;

Area of Triangle ABC = Area of ΔADB + Area of ΔAEB = (b + a) sq. units

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Answer:

20π m³

Step-by-step explanation:

Volume of cylinder = π r ² h

= π (2)² (5)

= (4)(5)π

= 20π m³

Step-by-step explanation:

28 dollars is the answer

To solve this problem, you can use the following formula for simple interest:

where P is the initial amount, r is the rate of interest in decimal form, and t is the time in years.

Substituting A=1920, r=0.08, t=6, and solving for P, you get:

Simplifying, you get:

Answer:

9 pounds

Step-by-step explanation:

you can use cross multiplication to find 10percent of 10 pounds, then subtract this from 10 pounds

Answer:

$46.64

Step-by-step explanation:

convert 6% to .06

multiply that by 44

you get 2.64.

add that to 44 to get a final ansewr of 46.64 dollers

The given vectors are: u = (20 + i, i, 2)v = (1 + i, 2, 41)The dot product of u and v is:u.v = (20 + i)(1 + i) + (i)(2) + (2)(41 - 1)= 20 + 20i + i + i² + 2i + 80= 101 + 22i

To find the imaginary part of u.v, we can simply extract the coefficient of i, which is 22. Hence, the imaginary part of u.v is 22. Therefore, the answer is rounded off to 22.00.

A quantity or phenomenon with two distinct properties is known as a vector. magnitude and course. The mathematical or geometrical representation of such a quantity is also referred to by this term. In nature, velocity, momentum, force, electromagnetic fields, and weight are all examples of vectors.

A movement from one point to another is described by a vector. Direction and magnitude (size) are both properties of a vector quantity. A scalar amount has just greatness. An arrow-labeled line segment can be used to represent a vector. The following describes a vector between two points A and B: A B → , or .

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Answer:

4 yd

Step-by-step explanation:

220/55

hope it helps

The required length of the hypotenuse of the triangle is √19.

To find the required length of the hypotenuse of the triangle:

Legs in the right triangle refer to the perpendicular and base.

Hypotenuse:

\(= \sqrt{perpendicular^{2}+base^{2} } \\= \sqrt{3^{2}+\sqrt{10^{2} } } \\=\sqrt{19}\)

Therefore, the required length of the hypotenuse of the triangle is √19.

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Answer:

12

Step-by-step explanation:

2+2+2+2+2+2=12

6×2=12

The graph of g is Transformation up 7 units.

what is Transformation?

A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.

solution:

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

g(x) = f(x) + k

Also, we have the value of k to be

k = 7

From the question, we can interpret g(x) = f(x) + k as f(x) is shifted up by k units

This means that

g(x) = f(x) + k

So, we have

g(x) = f(x) + 7

Hence, the transformation is (a) translated up 7 units

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So the total amount received by Sohail is 100 * y². To get the precise amount, we must first determine the value of x.

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

Let's call the number of days Sohail was in town and cleaned the house "y". Then we can write:

y = x - 8 (since he was out of town for 8 days)

And the amount he was promised per day is 10, so the total amount promised is:

10 * y = 10 * (x - 8)

At the end of the break, his mother decided to square the amount due to him, so the final amount he received is:

(10 * y)² = (10 * (x - 8))²

Expanding the square and simplifying, we get:

100 * y²= 100 * (x - 8)²

So the final amount Sohail received is 100 * y². To find the exact value, we need to know the value of x.

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Answer:

7:3

Step-by-step explanation:

If 70% of Earth's surface is water then 30% is land.

The correct option is -2. The range of function is found to be minimum is -2.

A function's global minimum is its lowest value across the entire function's range, whereas a localized minimum is its lowest value within a specific local area.

From the given graph of the function:

To get the lowest point of the range of the function, check the value where graph is turning.

This, shows the minima of the function which is -2 at x = 3.

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The complete question is attached-

Answer:

11

Step-by-step explanation:

lets suppose the number is x

twice the number would be 2x and 15 more than that will be

2x + 15

and this is equal to 37

2x + 15 = 37

2x = 37 - 15

2x = 22

x = 22/2

x = 11

We have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.

If you are running a regression with 19 input variables and want to choose a model including a subset of those variables, there would be a total of 524,288 possible regression models that can be formed.

To determine the number of possible regression models, we need to consider the power set of the input variables. The power set of a set includes all possible subsets that can be formed from the original set, including the empty set and the set itself. In this case, the power set would represent all the possible combinations of including or excluding the 19 input variables in the regression model.

The number of elements in the power set can be calculated by raising 2 to the power of the number of input variables. Since we have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.

It's important to note that while there are a large number of possible regression models, not all of them may be meaningful or useful in practice. Selecting the most appropriate subset of variables for a regression model typically involves considerations such as statistical significance, correlation analysis , domain knowledge, and model evaluation techniques to identify the most predictive and relevant variables for the specific problem at hand.

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Given:

\((3x+7)^2\) is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when \((3x+7)^2\) is subtracted from 3.

So, the resulted polynomial can be written as:

\(P(x)=3-(3x+7)^2\)

On simplification, we get

\(P(x)=3-((3x)^2+2(3x)(7)+(7)^2)\)               \([\because (a+b)^2=a^2+2ab+b^2]\)

\(P(x)=3-(9x^2+42x+49)\)

\(P(x)=3-9x^2-42x-49\)

\(P(x)=-9x^2-42x-46\)

Therefore, the resulted polynomial in standard form is \(-9x^2-42x-46\).

The relation R on the set (1, 2, 3, 4) can be represented by an arrow diagram and a matrix. The arrow diagram visually depicts the connections between the elements.

To represent the relation R on the set (1, 2, 3, 4) using an arrow diagram, we draw a directed arrow from each element in the set to the element it is related to. For example, we draw an arrow from 1 to 3 and 4, an arrow from 2 to 1, an arrow from 3 to 2 and 4, and an arrow from 4 to 2. The resulting arrow diagram shows the connections between the elements in the relation.

The matrix representation of a relation uses a table to show the presence or absence of connections between elements. For the relation R on the set (1, 2, 3, 4), we create a 4x4 matrix where the rows and columns correspond to the elements of the set. We fill in the matrix with 1s to indicate that there is a connection between the respective elements and 0s otherwise. In this case, the matrix would be:

| 0 0 1 1 |

| 1 0 0 0 |

| 0 1 0 1 |

| 0 1 0 0 |

In the matrix, a 1 in the i-th row and j-th column indicates that the element i is related to the element j. For example, the entry in the first row and third column is 1, indicating that 1 is related to 3.

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Answer:

False.

Step-by-step explanation:

First, find a common denominator between 1/5 and 9/10. Both share a common denominator of 10. Note that what you do to the denominator, you must do to the numerator:

\(\frac{1}{5} * \frac{2}{2} = \frac{2}{10}\)

Add 2/10 with 9/10:

\(\frac{2}{10} + \frac{9}{10} = \frac{11}{10}\)

It is noteworthy that the sum of the two fractions is already greater than 1, and therefore cannot be equal to 10 parts of 15 whole. However, if you were to continue and finish the steps to find the same denominator, you will obtain:

\(\frac{11}{10} * \frac{3}{3} = \frac{33}{30}\\ \frac{10}{15} * \frac{2}{2} = \frac{20}{30} \\\\\frac{33}{30} \neq \frac{20}{30} \therefore \frac{11}{10} \neq \frac{10}{15}\)

Your friend is not correct.

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Answer:

The answer is $2.38 I think

Step-by-step explanation:

10- 2.86 = 7.14

7.14/3 = $2.38

Answer:

D. Make the column wider

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

doing math to get the right answer your welcome

Answer: As we know that, Probability of an event =Number of favourable cases Number of total cases, We get, probability of choosing a prime number from 1 to 20 =820=25. Therefore, we get the probability of choosing a prime number from 1 to 20 as 25or 0.4.