The given curve is rotated about the y-axis. Find the area of the resulting surface.
y =
1
4
x2 =
1
2
ln(x), 4 ≤ x ≤ 5

The perimeter of the updated blueprint will be 24 times the sum of the original length and width.

If Ezra wants to multiply the dimensions of the stage by a certain percentage to make the image 12 times larger than the original, he needs to find out what percentage that is.

To do this, he can divide the desired size of the new stage by the original size of the stage, and then multiply by 100 to get the percentage increase. So, if the original blueprint dimensions are x by y, and he wants to make the image 12 times larger, the new dimensions will be 12x by 12y.

To find the percentage increase, he can use the following formula:

Percentage increase = [(new size - original size) / original size] x 100

In this case, the new size is 12 times the original size, so the formula becomes:

Percentage increase = [(12x * 12y - x * y) / (x * y)] x 100

Simplifying this expression gives:

Percentage increase = [(144xy - x * y) / (x * y)] x 100 = 14300%

Therefore, Ezra needs to multiply the dimensions of the stage by 14300% to make the image 12 times larger than the original blueprint.

To find the perimeter of the updated blueprint, he can use the formula for the perimeter of a rectangle, which is: Perimeter = 2(length + width)

In this case, the length and width have been multiplied by 12, so the new perimeter becomes:

Perimeter = 2(12x + 12y) = 24(x + y)

Therefore, the perimeter of the updated blueprint will be 24 times the sum of the original length and width.

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Answer:

c

Step-by-step explanation:

Pan tool do the data analyst use to select the area on the map representing Finland.    

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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Answer:

(-2,1)

Step-by-step explanation:

The solution is where the two equations/lines intersect, which is at (-2,1)

The given limit is,`lim_(n->∞) [3log(24n+9)−log∣6n^3−3n^2+3n−4∣]\(https://brainly.com/question/31860502?referrer=searchResults\)`We can solve the given limit using the properties of logarithmic functions and limits of exponential functions.

`Therefore, we can write,`lim_\((n- > ∞) [log(24n+9)^3 - log∣(6n^3−3n^2+3n−4)∣]\)`Now, we can use another property of logarithms.\(`log(a^b) = b log(a)`Therefore, we can write,`lim_(n- > ∞) [3log(24n+9) - log(6n^3−3n^2+3n−4)]``= lim_(n- > ∞) [log((24n+9)^3) - log(6n^3−3n^2+3n−4)]``= lim_(n- > ∞) log[((24n+9)^3)/(6n^3−3n^2+3n−4)]\)

`Now, we have to simplify the term inside the logarithm. Therefore, we write,\(`[(24n+9)^3/(6n^3−3n^2+3n−4)]``= [(24n+9)/(n)]^3 / [6 - 3/n + 3/n^2 - 4/n^3]`\)Taking the limit as \(`n → ∞`,\)

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A quantum computer is a type of computer that uses quantum mechanics.

Quantum computers use quantum mechanics, a branch of physics that deals with the behavior of matter and energy at the subatomic and quantum scale, to perform operations and solve problems.

Unlike classical computers, which use binary digits (bits) to represent and process information, quantum computers use quantum bits, or qubits, which can exist in multiple states at the same time, allowing for exponentially faster processing of complex computations and simulations. Quantum computers have the potential to revolutionize fields such as cryptography, drug discovery, and artificial intelligence.

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we have different side lengths and thus different angles anyhow, meaning is an Scalene triangle.

An Endure chosen randomly the likelihood of any battery lasting longer than 550 hours is 10.56%.

These steps are used to determine the Z score:

z = (x - μ)/σ

As mentioned in question-

x > 550 and μ = 500, σ = 40:

z = 550 - 500 / 40

z = 1.25

Obtain the p-value from normal distribution chart,

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Thus, an Endure chosen at random the likelihood of any battery lasting longer than 550 hours is 10.56%.

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You did not post enough information.

Step 1:

Re-state the given function.

Step 2:

We shall state the mathematical implication of the sine function at both minimum and maximum points.

At minimum point:

Step 3: We shall substitute the values in step 2 above in the given function.

We are only interested in the value at maximum point, so

Thus, the correct answer is 13 feet ( option D)

’creating a system linear equation, the number of possible gallons of gasoline that can be purchased is 60 gallons

Given the Parameters :

Hence, we have :

1170 + 2.80g = 1338

2.80g = 1338 - 1170

2.80g = 168

g = 168/2.80

g = 60

Therefore, only 60 gallons of gasoline can be purchased.

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Answer:

150

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

A prime factorization of a polynomial is one in which each factor cannot be factored further using integers. Here, we can remove a factor of 2 from each side to get ...

  2(x² +1) = 2(201)

The constant 201 can be further factored to primes:

  2(x² +1) = (2)(3)(67)

__

If the equation is written in standard form:

  2x² -400 = 0

again, a factor of 2 can be removed:

  2(x² -200) = 0

If the binomial constant were a perfect square, this could be factored further. It is not, so it can't.

The number of coins given to Amy, Ben, Carl and Debbie are 1, 3, 9 and 6.

Amy, Ben, Carl, and Debbie each have some coins. Ben has three times the number of coins that Amy has and a third of the number of coins that Carl has, and Debbie has two-thirds the number of coins that Carl has.

Let

a = Amy's coins

b = Ben's coins

c = Carl's coins

d = Debbie's coins

Therefore,

b = 3a

c = 3b

3d = 2c

The number of coins that Amy has, multiplied by the number of coins that Ben has, multiplied by the number of coins that Carl has, multiplied by the number of coins that Debbie has, is 162.

Therefore,

abcd = 162

Hence,

we need to write each variable in terms of one variable.

c = 3(3a) = 9a

3d = 2(9a) = 18a

d = 6a

Hence,

a  × 3a × 9a × 6a = 162

162a⁴ = 162

a = 1

Hence,

b = 3(1) = 3

c = 9(1) = 9

d = 6(1) = 6

Therefore, the number of coins given to Amy, Ben, Carl and Debbie are 1, 3, 9 and 6.

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

The sum of the exterior angle of the pentagon is 360 degrees.

The polygon above is a pentagon. A pentagon is a polygon with 5 sides.

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.

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Answer:

Review your notes, make flashcards, go back to your textbook and solve problems you haven't solved. Just keep doing practice problems

Answer:

poop

Step-by-step explanation:

asdasdasd

Answer:

114

Step-by-step explanation:

corresponding angles

congruent

By answering the presented question, we may conclude that As a result, equation a milkshake costs $3.50.

A math equation is a technique that links two assertions and denotes equivalence using the equals sign (=). In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For example, in the equation 3x + 5 = 14, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula may be used to understand the link between the two phrases written on either side of a letter. The logo and the programmed are usually interchangeable. As an example, 2x - 4 equals 2.

4x + 2y = 23.50 (equation 1) (equation 1)

8x + 6y = 56.50 (equation 2) (equation 2)

By dividing both sides by 2, we can simplify equation 2:

4x + 3y = 28.25 (equation 3) (equation 3)

We now have two equations and two unknowns. We can find x by deleting y:

4x + 2y = 23.50

4x + 3y = 28.25

We obtain the following when we subtract the first equation from the second:

y = 4.75

To solve for x, we may now plug y = 4.75 into equation 1 or equation 3. Let's look at equation 1:

4x + 2y = 23.50

When we substitute y = 4.75, we get:

4x + 2(4.75) = 23.50

Simplifying:

4x + 9.50 = 23.50

Taking 9.50 off both sides:

4x = 14

Divide all sides by four:

x = 3.50

As a result, a milkshake costs $3.50.

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Answer:

the answer is b. tangent

Step-by-step explanation:

The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right triangle is called the tangent of the angle.

The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

The tangent of the angle is

\(\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\)

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Answer: 2520 groups

Step-by-step explanation:

To calculate the number of groups that can be chosen with four SE students and three CPRE students, we need to consider the number of ways to select the students from each group separately.

The number of ways to choose four SE students from the nine available is given by the combination formula, denoted as "9 choose 4" or C(9, 4), and can be calculated as:

C(9, 4) = 9! / (4! * (9 - 4)!) = 9! / (4! * 5!) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1) = 126

Similarly, the number of ways to choose three CPRE students from the six available is:

C(6, 3) = 6! / (3! * (6 - 3)!) = 6! / (3! * 3!) = (6 * 5 * 4) / (3 * 2 * 1) = 20

To determine the total number of groups, we multiply the number of choices for SE students and CPRE students:

Total number of groups = C(9, 4) * C(6, 3) = 126 * 20 = 2520

Therefore, there are 2520 different groups of seven students that can be chosen, consisting of four SE students and three CPRE students.

Answer:

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

Average speed equation:

Substitute 350 for d and 5.15 for t:

The average speed must be approximately 68 km per hour.

A sinusoidal function can be used to model the height because, the

height is given by the function; \(\underline{h = 13 \cdot sin \left(2\cdot t )\right) + 24}\)

The time the cart takes to complete a full rotation = 2 seconds

The location of the center of the ride above the ground = 24 feet

The cart in the observation is cart X

Required:

The reason why a sinusoidal function can be used to model the height of

the cart X above the ground.

Solution:

In the diagram from a similar question, the radius is given as 13 feet

The height at a particular time depends on the angle of rotation which

depends on the time of rotation.

A sinusoidal function can be presented as follows;

\(y = \mathbf{A \cdot sin \left(\dfrac{2 \cdot \pi}{B} \cdot (x - C )\right) + D}\)

Where;

y = h = The height

A = The radius = 13

C = 0

\(The \ \mathbf{period}, \ T = 2 = \dfrac{2 \cdot \pi}{B}\)

x = t = The time in seconds

D = 24

Which gives;

\(h = \mathbf{13 \cdot sin \left(2\cdot t )\right) + 24}\)

Therefore, the height can be modelled using the following sinusoidal

function; \(\underline{h = 13 \cdot sin \left(2\cdot t )\right) + 24}\)

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There are 678 ways to stack the 6 books on the shelf if the math books cannot be next to each other.

To solve this problem, we can use the principle of inclusion-exclusion. We start by considering the total number of ways to arrange the 6 books on the shelf, which is 6! = 720. However, this includes arrangements where the math books are next to each other, so we need to subtract these cases.

There are 2 ways to choose which math book will be on the left, and 4! = 24 ways to arrange the remaining 4 books, for a total of 224 = 48 arrangements where the math books are next to each other. However, this overcounts arrangements where the math books are next to each other and there is another math book on either side, so we need to add these cases back in.

There is only 1 way to arrange the 3 math books in this case, and 3! = 6 ways to arrange the remaining 3 books, for a total of 16 = 6 arrangements where the math books are next to each other and there is another math book on either side.

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The recursive function that returns the nth fibonacci number is stated as follows -

The recursive function will be -

def fibonacci (n):

if n <= 1:

return n

else:

return fibonacci(n - 1)

To use this function, users must write it as follows-

print(fibonacci(6)) where the generated output will be 8. The answer is provided by calculating the average of (n - 1)th and (n - 2)th numbers to get he nth fibonacci number. The methodology is utilizes owing to presence of 0 and 1 in the beginning.

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The complete question is -

Fibonacci In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, characterized by the fact that every number after the first two is the sum of the two preceding ones: 0, 1, 1, 2, , 5, 8, 13, ... Write a recursive function that returns the nth fibonacci number.

No, the explanation is not correct.The phrase "statistically significant at the a = 0.05 level" refers to the result of a statistical hypothesis test. It indicates that the observed data is unlikely to have occurred by chance alone if the null hypothesis is true, assuming a significance level of 0.05.

The student's explanation incorrectly states that the phrase "statistically significant at the a = 0.05 level" means that the probability that the null hypothesis is true is less than 0.05. However, in hypothesis testing, the significance b(α) represents the threshold used to make a decision about rejecting or failing to reject the null hypothesis. It is not a direct measure of the probability that the null hypothesis is true or false. The phrase indicates that the observed data is unlikely to have occurred by chance alone if the null hypothesis is true, assuming a significance level of 0.05.

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