Problem 1: [10 pts] Solve the following differential equation using integrating factor: xy' - y = x^2 e^x

Answer:

the 4th one down hope this helps

Answer:

3s+4=28

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer B

since for all real positive r,  r^x >0

The unique function who give a negative answer is f(x)=-3* 2^x

The required Finn swims at a speed of 1.6 m/s.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Speed = distance/time

As mentioned in the question Finn is swimming at a constant speed.
So,
Speed (6, 9.6) = Speed (14, 22.4) = Spee (22, 35.2)
9.6/6 = 22.4/14 = 35.2/22
1.6 m/s = 1.6 m/s = 1.6 m/s

Thus, the required, Finn swim with speed of 1.6 m/s.

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Billy's total annual health insurance premium is $4,712.54. Then the correct option is D.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Billy’s employer pays for 65% of his annual health insurance premium.

Billy has the rest deducted in equal amounts from his paycheck.

If billy has $105.73 withheld from his paychecks twice each month.

His employer contributes towards his health insurance on an annual basis.

To get the amount of his employer to contribute towards his health insurance on an annual basis will be

105.73 × 24 = 2537.52

The next step is to calculate Billy's total annual health insurance premium will be

\(\rm Health \ insurance \ premium = \dfrac{2537.52 * 0.65}{0.35}\\\\Health \ insurance \ premium = 4712.54\)

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Answer:

5.996958255702616 or 18.84 pie

Step-by-step explanation:

The only binomial factor of f(x)=x^4-33x^2-28x+60 is (x-3).

To find which binomial is a factor of f(x)=x^4-33x^2-28x+60, we can use the factor theorem which states that if (x-a) is a factor of a polynomial f(x), then f(a)=0.

Therefore, we can try to find a value of x that makes f(x) equal to 0 and use that to determine the binomial factor.

Using synthetic division or long division, we can find that x=3 is a zero of the polynomial f(x), which means that (x-3) is a factor.

To find the other factor, we can divide the polynomial f(x) by (x-3) using long division or synthetic division. Doing this, we get:

x^3 + 3x^2 - 24x - 20

Now, we can use the same process to find if there are any more binomial factors. However, in this case, we cannot factor the polynomial x^3 + 3x^2 - 24x - 20 using binomials with integer coefficients.

Therefore, the only binomial factor of f(x)=x^4-33x^2-28x+60 is (x-3).

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Answer: 1.5 gallons

Step-by-step explanation:

(1/2) of a 2oz tube covers 0.25ft^2.  Make this into a conversion factor:

1 oz/0.25ft^2

4oz/ft^2

They have a 48 ft^2 mural.  Assuming no mistakes in painting, they will need:

(48 ft^2)*(1 oz/0.25ft^2) = 192 oz  [Note how the ft^2 units cancel]

There are 128oz/gallon.  Make this a conversion factor:

(gallon/128oz)

Convert 192 oz to gallons:  (192 oz)*(gallon/128oz) = 1.5 gallons

Answer:

0.4

Step-by-step explanation:

1-0.6=0.4???????????????

Answer:

The sales associate earns $13 a suit and $8 for a pair of shoes.

Step-by-step explanation:

Answer:

(x - 6)(x + 1)

Step-by-step explanation:

Given

x² - 5x - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 5)

The factors are - 6 and + 1 , since

- 6 × 1 = - 6 and - 6 + 1 = - 5, thus

x² - 5x - 6 = (x - 6)(x + 1) ← in factored form

Answer:

(x+1) (x-6)

Step-by-step explanation:

factorice la expresion

x^2 + x - 6x- 6

x(x + 1) -6(x + 1)

la solucion es:

(x + 1) (x - 6)

A sequence of transformations that moves square PQRS to square TUVW consists of a rotation and a dilation.

To move square PQRS to square TUVW, we can follow these steps:

1. Perform a rotation of square PQRS by 90 degrees counterclockwise around point P. This will bring side QR to coincide with side TU.

2. Perform a dilation with a scale factor of 2, centered at point T. This will expand the size of square PQRS to match the size of square TUVW.

By applying these two transformations in sequence, square PQRS will be transformed into square TUVW. The rotation ensures that the corresponding sides of the squares align, and the dilation ensures that the sizes of the squares match.

It's important to note that the sequence of transformations described here is specific to the given problem and may vary for different transformations or shapes.

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The O(n)-time algorithm visits each node exactly once and increments the depth value by 1 for each level of the tree.

One way to compute the depth of all the nodes of a tree T in O(n)-time is by performing a depth-first search (DFS) traversal of the tree, starting at the root node.

During the traversal, we keep track of the current depth of the node being visited. For each node, we assign the current depth to its depth attribute and recursively visit all its children nodes, incrementing the depth value by 1.

We start the algorithm by calling DFS(root, 0), where root is the root node of the tree and 0 is the initial depth.

The algorithm visits each node once and increase the value by 1 for each level. Therefore, the time complexity is O(n), where n is the number of nodes in the tree.

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The area of delivery of Zippy's Pizza given by a radius of delivery is a

circular area.

Reasons:

Direction of Empire Street = East to west

Direction of route 26 = North to south

Location of Zippy's Pizza parlor on route 26 = 3 miles south of Empire street

The radius of the area Zippy makes delivery = 4 miles

Question One:

Required: Equation for the radius of delivery

Solution:

The equation of a circle is (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

Where the center of the circle is at the origin, we have;

(h, k) = (0, 0)

Therefore, the equation that represents the radius of delivery for Zippy's Pizza is  is; (x - 0)² + (y - 0)² = r²

x² + y² = r²

The radius r = 4, the equation is therefore;

Second Question;

The equation that represents Empire street with Zippy's Pizza at the origin is y = 3

Therefore at the maximum distance east and west, along Empire street, we have;

x² + 3² = 4²

x² = 4² - 3² = 5

x = ±√5

The distance east and west along Empire street where one can still receive pizza are; √5 miles west and √5 east from Route 26

The maximum distances from route 26 a person can live on Empire street and receive pizza are;

Question Three;

The location of Little Cubs Field = 2 miles west and 4 miles north from Zippy's

The coordinates of Little Cubs Field relative to Zippy at the origin is therefore;

Little Cubs Field coordinates = (-2, 4)

The distance between Little Cub's Field and Zippy, d = √((-2)² + 4²) = 2·√5 miles

Question Four;

The distance between Little Cubs Field and the radius of delivery is given as follows;

D = d - r = 4 - 2·√5

The distance between Little Cubs Field and the radius of delivery is D = 2·(2 - √5) miles.

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The change in the radius, if the area is increased by a factor of x, is √(x(1,809.56)/π)

The area of a circle is A = πr², where A is the area, r is the radius, and π is a mathematical constant approximately equal to 3.14159.

To find the new radius if the area is increased by a factor of x, use the following steps:

Find the original area of the circle A = πr²

A = 3.14159 x 24²

A = 1,809.56 square inches

Find the new area of the circle if it is increased by a factor of x New area = x(1,809.56)

Solve for the new radius using the new area

New area = πr²x (1,809.56) = πr²

Divide both sides by π x (1,809.56)/π = r²

Take the square root of both sides√(x(1,809.56)/π) = r

Therefore, the change in the radius if the area is increased by a factor of x is √(x(1,809.56)/π), which is the new radius.

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The statement is true. Simple random sampling is a method of selecting a sample from a larger population in which every member of the population has an equal chance of being selected for the sample.

This method is associated with a high degree of generalizability because it ensures that the sample is representative of the population. When a sample is representative of the population, the findings from the sample can be generalized to the entire population with a high level of confidence.

Simple random sampling is considered to be one of the most reliable and unbiased methods of sampling, making it a popular choice in many research studies.

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Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

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The full question:

ratio analysis can be made more meaningful in all the following ways except by?

Answer:

a= 3/

Step-by-step explanation:

2/3a-1/6=1/3

2/3a=1/3+1/6

2/3a=1/2

a=1/2×3/

a=3/

Answer:

57/8

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The answer is

y = .613x + 4.142

this function has answer of d

Answer:

the first option..

Step-by-step explanation:

substitute the x values in the table for "x" in the equation and solve

Answer:

8x + 2y = 10  ==>  y = -4x + 5

12x - 3y = -25​  ==>  y = 4x + 25/3

Step-by-step explanation:

8x + 2y = 10  ==> solve for y

2y = 10 - 8x  ==> subtract 8x on both sides

(2y = 10 - 8x) / 2 ==> divide the equation by 2 to make 2y into y

y = 5 - 4x  ==> simplify

y = -4x + 5  ==> put the equation in y=mx+b form

12x - 3y = -25​  ==> solve for y

12x = -25 + 3y  ==> make y positive by adding 3y on both sides

12x + 25 = 3y ==> add 25 on both sides to isolate y

(3y = 12x + 25) / 3  ==> divide the equation by 3 to make 3y into y

y = 4x + 25/3 ==> simplify

The factor in the Salk vaccine experiment is the type of injection, which is the independent variable that was manipulated in the experiment to determine its effect on the dependent variable, which is the presence or absence of polio.

The factor in the Salk vaccine experiment is the type of injection, which is either the vaccine or the placebo. This is the independent variable, which is the factor that is being manipulated in the experiment to determine its effect on the dependent variable, which is the presence or absence of polio.

The students were randomly assigned to either the vaccine or placebo injection group, which is an important aspect of the experiment to control for any potential confounding variables. This randomization helps to ensure that any observed differences between the vaccine and placebo groups are due to the type of injection received and not due to any other factors, such as differences in age, gender, or health status.

During the school year, all students were observed for evidence of polio, which is the dependent variable. The purpose of the experiment was to determine whether the vaccine was effective in preventing polio, so the presence or absence of polio is the outcome measure that was used to evaluate the effectiveness of the vaccine.

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Answer:

Formula 1 Racing

Step-by-step explanation:

a) When selecting 9 spheres at random with substitution, the probability of selecting 1 Blue, 3 white, 2 green, and 3 red can be calculated as follows:

The probability of selecting 1 Blue is (2/17), the probability of selecting 3 white is\((3/17)^3\), the probability of selecting 2 green is \((5/17)^2\), and the probability of selecting 3 red is \((7/17)^3\). Since these events are independent, we can multiply these probabilities together to get the overall probability:

\(P(1 Blue, 3 white, 2 green, 3 red) = (2/17) * (3/17)^3 * (5/17)^2 * (7/17)^3\)

b) When selecting 9 spheres at random without substitution, the probability calculation is slightly different. After each selection, the total number of spheres decreases by one. The probability of each subsequent selection depends on the previous selections. To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes at each step.

The probability of selecting 1 Blue without replacement is (2/17), the probability of selecting 3 white without replacement is (\(3/16) * (2/15) * (1/14)\), the probability of selecting 2 green without replacement is\((5/13) * (4/12)\), and the probability of selecting 3 red without replacement is\((7/11) * (6/10) * (5/9)\). Again, we multiply these probabilities together to get the overall probability.

\(P(1 Blue, 3 white, 2 green, 3 red) = (2/17) * (3/16) * (2/15) * (1/14) * (5/13) * (4/12) * (7/11) * (6/10) * (5/9)\)

These calculations give the probabilities of selecting the specified combination of spheres under the given conditions of substitution and without substitution.

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Probabilities are used to determine the chances of an event.

The probability that both selections are boys is 0.1667

The given parameters are:

boys= 35

girls= 50

total= 85

Since two are chosen to sing a duet, then the selection is without replacement.

So, the probability that both selections are boys is

p=boys/ total * boys-1/ total -1

This gives

p= 0.4118*0.4048

Hence, the probability that both selections are boys is 0.1667

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The solutions to the equation y/ (y- 4) - 4/ (y + 4) = 32/ y are approximately 30.948, 4.627 and -3.575.

The given equation is y/ (y- 4) - 4/ (y + 4) = 32/ y

Let us simplify the left hand side (LHS) :

Make the denominator same to (y - 4)(y + 4)

y/ (y- 4) - 4/ (y + 4) = (y/ (y- 4))×((y + 4)/(y + 4)) - (4/ (y + 4))×((y - 4)/(y - 4))

y/ (y- 4) - 4/ (y + 4) = ( y(y + 4) - 4(y - 4))/ (y - 4)(y + 4)

y/ (y- 4) - 4/ (y + 4) = (y² + 4y - 4y + 16)/ (y² - 16)

y/ (y- 4) - 4/ (y + 4) = (y² + 16)/ (y² - 16)

Now plugging this simplified version in LHS

(y² + 16)/ (y² - 16) = 32/ y

y(y² + 16) = 32(y² - 16)

y³ - 32y² + 16y + 32×16 = 0

The solutions are approximately 30.948, 4.627 and -3.575.

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Answer:

(I attached an image of the graphed lines)

Step-by-step explanation:

First, we need to graph the original function:

Next, we need to find the inverse of the function and graph that as well:

For a survey with 95% of the community of favouring in success of an event, the probability that the number favoring the substation is exactly 42 is equal to 0.0024.

We have in recent survey, 95% of the community favored for building a police substation in their nearby. Total number of choose citizens = 50

That is total possible outcomes = 50

Let X be an event for number of citizens favored for building a police substation in their nearby.

Probability that who favored for building a police substation in their nearby, P( X) = 95% = 0.95

That is Probability of success, p = 0.95

So, probability of failure, q = 1 - p = 1 - 0.95 = 0.05

We have to probability that the number favoring the substation is exactly 42, P( X = 42). Using the binomial distribution formula, P( X = x) = ⁿCₓ pˣ (1-p)⁽ⁿ⁻ˣ⁾

P( X = 42) = ⁵⁰C₄₂ (0.95)⁴²( 0.05)⁸

= 0.0024

Hence, required probability value is 0.0024.

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Answer:

Step-by-step explanation:

Let s represent the speed of the bus.

From the information given, the bus needs to cover a distance of 240 km in less than 5 hours. The formula for calculating the speed of the bus, s is expressed as

Speed, s = distance covered by the bus/ time taken to cover the distance

Therefore,

Speed, s = 240/5 = 48 km/hr

A higher speed would ensure the bus covers the distance in less than 5 hours. Therefore, the inequality that represents the speed (s) of the bus would be

s ≥ 48

Answer:

Table c mate

Step-by-step explanation: