Is infinity positive or negative?

Answer:

x=-2

Step-by-step explanation:

2x+7=-9-6x

add 6x on both sides

8x+7=-9

subtract 7 on both sides

8x=-16

x=-2

Answer:

x=-2

Step-by-step explanation:

Let me know if I need to explain but here is the answer cause i know you are in a rush.

Hello :D

To work this out you need to do:

36 + 42 = 78

$328.38/78 = $4.21

Sully earns $4.21 per door handle.

The differential equation y4 - 27y' = x2 + x in the form L (y) = g(x) is D(D - 3)(D^2 + 3D + 9)y = x^2 + x. So, the answer is option B.

Explanation:

The given differential equation is y4 - 27y' = x2 + x.

To write it in the form L(y) = g(x), where L is a linear differential operator with constant coefficients, we need to express y4 and y' in terms of differential operators.

We can write y4 as (D^4)y, where D is the differential operator d/dx.

To express y' in terms of differential operators, we can use the product rule:

y' = dy/dx = (D)(y)

Therefore, the given differential equation can be written as:

(D^4)y - 27(D)y = x^2 + x

Now, we need to factor the linear differential operator L = (D^4) - 27D.

We can factor out D from the second term:

L = D(D^3 - 27)

Next, we can factor the cubic polynomial D^3 - 27 using the difference of cubes formula:

D^3 - 27 = (D - 3)(D^2 + 3D + 9)

Therefore, we can express L as:

L = D(D - 3)(D^2 + 3D + 9)

Finally, we can write the differential equation in the desired form:

D(D - 3)(D^2 + 3D + 9)y = x^2 + x

So, the answer is option B.

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Given:

To Determine: The percentage with greater than 24mpg

Solution

To determine if the confidence interval contradicts the quality control manager's claim, we need more information about the confidence interval itself.

The provided statement indicates that all of the values in the confidence interval are "." which implies that the values are missing or not provided. Without knowing the specific values or the range of the confidence interval, we cannot draw a conclusion. However, based on the claim made by the quality control manager, if the lower limit of the confidence interval is less than the claimed value (less than 100% of customers experiencing interruption), then it would contradict the claim.

Conversely, if the lower limit of the confidence interval is greater than or equal to the claimed value, then it would support the claim. Without the actual values or the range of the confidence interval, we cannot determine if it contradicts the quality control manager's claim.

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Answer:

4/3x

Step-by-step explanation:

9514 1404 393

Answer:

  yes

Step-by-step explanation:

You can do this several ways. One is to divide the volume by the rate of filling to see if the time is less than 15 minutes. Another is to find the volume filled in 15 minutes and see if the hemisphere has less volume than that.

Volume of the hemisphere:

  V = 2/3πr³

  V = 2/3π(30 cm)³ ≈ 56,548.7 cm³

The time to fill it will be ...

  V = 56,548.7 cm³/(4000 cm³/min) ≈ 14.14 min

Yes, it takes less than 1/4 hour to fill the container.

Answer:

yes it takes less than 15 mins

Step-by-step explanation:

V ( hemisphere ) = \(\frac{1}{2}\) × \(\frac{4}{3}\) πr³ = \(\frac{2}{3}\) πr³ , then

V = \(\frac{2}{3}\) × π × 30³

   = \(\frac{2}{3}\) × π × 27000

   = 2π × 9000

   = 18000π

   ≈ 56548.7 cm³

Time to fill = \(\frac{56548.7}{4000}\) ≈ 14 minutes

Then it takes less than 15 minutes to fill the hemisphere

The process of finding the derivative of a function is called differentiation.

Differentiation is a fundamental concept in calculus that involves determining the rate at which a function changes with respect to its independent variable. It allows us to analyze the behavior of functions, such as finding slopes of curves, identifying critical points, and understanding the shape of graphs.

The derivative of a function represents the instantaneous rate of change of the function at any given point. It provides information about the slope of the tangent line to the graph of the function at a specific point.

The notation used to represent the derivative of a function f(x) with respect to x is f'(x) or dy/dx. The derivative can be interpreted as the limit of the difference quotient as the interval approaches zero, representing the infinitesimal change in the function.

By applying differentiation techniques, such as the power rule, product rule, chain rule, and others, we can find the derivative of a wide range of functions. Differentiation is a powerful tool used in various areas of mathematics, physics, engineering, economics, and other fields to analyze and solve problems involving rates of change.

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The expression x³+3x² is a cubic unit representation of the prism's volume.

Having 6 faces, 12 edges, and 8 vertices, a right rectangular prism is a three-dimensional object. Angles between the base and sides are right angles in a right rectangular prism. Rectangles make up each of the six faces.

We have provided that to:

In a right rectangular prism, the height is three units more than the base's length.

The square base has edges that are x units long.

How much volume does a rectangular prism have?

Volume of the rectangular prism = width × length × height

V =  W × L × H   ....................(1)

We've indicated that the

bigger by three than the base's length, h

and  the length of the base is x:

Hence,

               H = X +3

          Length of the base = X

           Width = X

Adding the values l h and w to the formula (1) yields,

V = W × L × H

= X × X × (X+3)

= (X²) × (X+3)

= X³ + 3X³

Consequently, the phrase

               X³ + 3X³

represents, in cubic units, the prism's volume.

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Answer:

the answer would be a % because of the divisibility rule

Answer:

Solve the equation 119 = n - 66 and the options are: a. 53, b.186, c. -185, d. 185

solution :

From these we can get is;

119 = n – 66

=> n = 119 + 66

=> n = 185

So option d ) 185 is the correct answer

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Disclaimer: the question was given incomplete on the portal. Here is the Complete Question.

Question: Solve the equation 119 = n - 66 and the options are: a. 53, b.186, c. -185, d. 185

We get that the value of n is option (d) 185 for the equation n - 66 = 119.

We are given an equation:

n - 66 = 119.

An equation is an expression that has an equality sign in between.

For example: 3 x + 3 y = 6 or 7 x + 5 y = 9

We have to solve the equation to find the value of n.

First, we will add 66 to both the sides of the equation.

n - 66 + 66 = 119 + 66 .

Now simplifying the expression, we get that:

n = 119 + 66

Solving the expression to get the value of n:

n = 185

So, option (d) 185 is correct.

Therefore, we get that the value of n is option (d) 185

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The Master Theorem is a powerful tool for solving divide-and-conquer recurrences. It provides a way to quickly determine the asymptotic behavior of algorithms by analyzing their running time.

Case 1 of the Master Theorem applies to algorithms that split the problem into smaller subproblems of equal size and combine their solutions in constant time. In this case, the running time can be expressed as T(n) = aT(n/b) + f(n), where a is the number of subproblems, b is the size of each subproblem, and f(n) is the time to combine the subproblem solutions. The solution to this recurrence is T(n) = Θ(nlogba) if f(n) = Θ(nlogka) for some constant k < log(ba).

Case 2 of the Master Theorem applies to algorithms that split the problem into smaller subproblems of equal size and combine their solutions in linear time. In this case, the running time can be expressed as T(n) = aT(n/b) + f(n), where a is the number of subproblems, b is the size of each subproblem, and f(n) is the time to combine the subproblem solutions. The solution to this recurrence is T(n) = Θ(nlogba logn) if f(n) = Θ(nlogba) .

If the recurrence cannot be expressed in either of these forms, then the Master Theorem does not apply. In this case, other techniques such as substitution or recursion trees may be used to solve the recurrence.

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We can be 90% confident that the true average number of sick days for an employee who is 28 years old falls between 4.31 and 9.85 days per year, based on the provided data

First, we can plug in the value of 28 for Age in the regression line equation to get the estimated average number of sick days for an employee who is 28 years old:

Next, we can use the standard error to calculate the margin of error for a 90% confidence interval:

Finally, we can construct the confidence interval by adding and subtracting the margin of error from the estimated average number of sick days:

Confidence interval = 7.079032 ± 2.767462 = (4.31157, 9.84649)

Therefore, we can be 90% confident that the true average number of sick days for an employee who is 28 years old falls between 4.31 and 9.85 days per year, based on the provided data.

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Complete Question:

The estimated regression line and the standard error are given. Sick Days=14.310162−0.2369(Age) se=1.682207 Find the 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 28. Round your answer to two decimal places.

Employee 1 2 3 4 5 6 7 8 9 10

Age 30 50 40 55 30 28 60 25 30 45

Sick Days 7 4 3 2 9 10 0 8 5 2.

Answer:
look at the image and give me brainliest k thx

Step-by-step explanation:

Answer:

Step-by-step explanation:

7,2 is viable

The measure of the side KL for quadrilateral KLMN will be 65.45.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

For the two objects to be similar the ratio of the two corresponding sides of one shape is equal to the ratio of the two corresponding sides of another shape.

Given that the two quadrilaterals GHIJ and KLMN are similar and the given sides are GH = 15 and GJ = 11. For KLMN the side NK = 48.

The side KL will be calculated as below,

KL = ( 48 x 15 ) / 11

Kl = 65.45

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Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

∴ The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = \(\frac{11x}{3}\) = \(\frac{11}{3}\)x

∴ The share of John is larger by $50

→ That means the difference between his shares is 50

∵ \(\frac{11}{3}\)x - 2x = 50

∴ \(\frac{5}{3}\)x = 50

→ Divide both sides by \(\frac{5}{3}\)

∴ x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

∴ The total sum of the money is $330

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(82, −96) and (87, −86)

We have

\(m = \frac{ - 86 - - 96}{87 - 82} = \frac{ - 86 + 96}{5} = \frac{10}{5} = 2 \\ \)

We have the final answer as

Hope this helps you

Answer:

the volume is 288 squared cm

Step-by-step explanation:

t - 7

hope it helps...!!!

Answer:

The rule for this question should be an=10*(-3)^(n-1)

Step-by-step explanation:

Because 10, -30, 90, and -270 divide (for example -30/10, 90/-30 and -270/90 which means the ratio equals -3) To find the ratio, you must divide by its previous term.

Then, the equation for the ratio would be a1 (first term in the sequence) multiplied by the ratio, then to the power of the number subtracted by 1. an=a1*r^(n-1) This is the formula to find the nth term of a geometric sequence.

Hope this helped!

The university grew at an average percentage rate of approximately 15.36% per year.

1. In order to find the average percentage growth rate, we will use the formula for geometric mean growth rate:
Growth Rate = ((Ending Value / Starting Value)^(1 / Number of Years)) - 1
2. In this case, the starting value is 1,200 students, the ending value is 5,200 students, and the number of years is 10.
Growth Rate = ((5,200 / 1,200)^(1 / 10)) - 1
3. Calculate the values:
Growth Rate = (4.3333^(1 / 10)) - 1
Growth Rate = 1.1536 - 1
Growth Rate = 0.1536
4. Convert the decimal to a percentage:
Growth Rate = 0.1536 * 100 = 15.36%

Hence, Based on the geometric mean, the local university grew at an average percentage rate of approximately 15.36% per year over the 10-year period.

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The speed of the wave is √(V² - 1) and the direction of propagation is ∂ψ / ∂z / ∂ψ / ∂t = 1/v.

The function given is; ψ(z,t) = ((z - vt)² + 1) / A

where A is a constant

To show that the function is a solution of the differential wave equation;

Firstly we can differentiate the given function partially to obtain the value of wave equation as shown below;

∂²ψ/∂t² = A(V² - 1)(2z² - 2vzt + v²t² + 1) / A²...1

∂²ψ/∂z² = A(2) / A = 2...2

The wave equation is given by: ∂²u / ∂t² = v² (∂²u / ∂x²)

Comparing equation (1) and (2) with wave equation, we get;

v² = (V² - 1)...3

(∂²ψ / ∂z²) = (∂²ψ / ∂t²) / v² = (A(V² - 1)(2z² - 2vzt + v²t² + 1) / A²) / (V² - 1)...4

The speed of the wave, v = √(V² - 1)...5

From equation 5, we can find the speed of the wave.

The direction of propagation can be obtained by calculating the gradient of the function given:

∂ψ / ∂z = 2(z - vt) (-1)...6∂ψ / ∂t = 2(z - vt) (-v)...7

The direction of propagation is given by the ratio of (6) and (7) as:

∂ψ / ∂z / ∂ψ / ∂t = 1/v...8

From the above discussion, we have;

v = √(V² - 1)...5

∂ψ / ∂z / ∂ψ / ∂t = 1/v...8

Therefore, the speed of the wave is √(V² - 1) and the direction of propagation is ∂ψ / ∂z / ∂ψ / ∂t = 1/v.

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Answer:

Aaron will win the bet if they continue to increase their deliveries at the same rate.

Step-by-step explanation:

Isaac started out delivering twice as much as Aaron did on his fourth week. By week 4, Isaac had delivered a total of 250 pizzas, while Aaron had only delivered 45. However, Aaron's output is doubling each week, while Isaac is only delivering 7 more each week. During week 5, Aaron will deliver 48 pizzas, and Isaac will deliver 80. During week 6, Aaron will deliver 96 pizzas, and Isaac will deliver 87. During week 7, Aaron will deliver 192 pizzas, and Isaac will deliver 94.

Step-by-step explanation:

Explanation is in the attachment

hope it is helpful to you

Answer:

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hope it helps...

have a great day!!

(1) Probability that exactly 2 are issues issue of Popular Science is 0.3894.

(2) Probability that you choose the December 1st issue of Sports Illustrated is 0.1071.

(1)Exactly 2 issues of Popular Science are chosen out of 4 magazines.

The December 1st issue of Sports Illustrated is chosen out of 4 magazines.

Probability that exactly 2 issues of Popular Science are chosen out of 4 magazines.

From the given data:Total number of magazines = 8 + 7 + 3 = 18There are 8 issues of Popular Science, and we have to choose 2 of them. This can be done in 8C2 ways.

There are 10 magazines (18 – 2) from which we can choose 2 magazines. This can be done in 10C2 ways.Therefore, the required probability is: P(exactly 2 are issues of Popular Science) = 8C2 × 10C2 / 18C4 = 0.3894

(2) Probability that the December 1st issue of Sports Illustrated is chosen out of 4 magazines.

From the given data:Total number of magazines = 8 + 7 + 3 = 18

There is only one December 1st issue of Sports Illustrated.There are 17 magazines (18 – 1) from which we can choose 3 magazines.

This can be done in 17C3 ways.Therefore, the required probability is: P(the December 1st issue of Sports Illustrated is chosen) = 1/17 = 0.1071.

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