Question 3 (20 points) Consider the differential equation xy" + 3xy' – 3y = 3x2 – 2x3. (a) Verify that yı = x and y2 = x-3 are solutions of xy" + 3xy' – 3y = 0. (b) Use the method of variation of parameters to solve the differential equation. -

Answer: It would be 1.7 × 10^2.

Step-by-step explanation:

A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

A rate is known as the quantity measured with respect to another measured quantity. It refers to the comparison of a part to a whole.

It is also the measure of a part with respect to a whole or a proportion.

Therefore, a comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

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To function effectively, a subtotal row must contain at least one aggregate function, which performs calculations on a group of values and produces a single, concise result that conveys the relevant information.

A subtotal row is an essential tool for data analysis in spreadsheets, allowing for easy organization and summarization of large datasets.

A subtotal row is a crucial element in organizing and analyzing data within spreadsheets, as it allows users to break down information into manageable sections. To achieve this, a subtotal row must contain at least one aggregate function. Aggregate functions perform calculations on a group of values, generating a single result that summarizes the data.
Examples of common aggregate functions include SUM, AVERAGE, COUNT, MIN, and MAX. These functions facilitate various mathematical operations, such as summing up values, finding the average, counting the number of instances, identifying the smallest value, and determining the largest value, respectively.
In practice, when creating a subtotal row in a spreadsheet, users typically sort the data by the desired category first. Then, they apply the appropriate aggregate function(s) to generate the desired summary statistics for each subset of data. This enables users to quickly gain insights into the data trends and make informed decisions based on the summarized information.

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Answer:

48 square feet.

Step-by-step explanation:

Answer:48 sq ft

Step-by-step explanation:

i got it right on e d g e n u i t y

i hate people when they say have a good day! on here so…. have a bad day!

Answer:to question 1:55

Step-by-step explanation: area of purple 10 * 8=80 and then we subtract the area of the circle which is 25 so 80 minus 25=55

I did this like 3 weeks ago in 7 grade advance maths.

Answer:

16 is the answer hope i helped!

Step-by-step explanation:

Answer:

i think it c

:D

Step-by-step explanation:

Answer:

The rule for divisibility by 9 works because numbers are written in base 10.

Step-by-step explanation:

Answer:

  V = x(8 -2x)(10 -2x) = 4x³ -36x² +80x

Step-by-step explanation:

You want an equation for the volume (V) in terms of x, the side length of the square corner removed from an 8" by 10" piece of cardboard. After the square is removed, the cardboard is folded to make an open-top box.

The depth of the box is the x dimension of the flap left after the corner is removed.

The side flap in the 8" direction will have a remaining dimension of (8 -2x) inches.

The side flap in the 10" direction will have a remaining dimension of (10-2x) inches.

Then the bottom area is (8 -2x)(10 -2x).

The volume is the product of the depth and the area of the bottom of the box:

  V = x(8 -2x)(10 -2x)

This can be expanded to the cubic ...

  V = 4x(4 -x)(5 -x) = 4x(x² -9x +20)

  V = 4x³ -36x² +80x

__

Additional comment

The volume is maximized when x = 3-(√21)/3 ≈  1.472 inches.

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The true statement about the function is that (c) the domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

The complete question is added at the end of this solution

From the complete question, we have the following equation

f(x) = g(x)/h(x)

The above equation means that

The function f(x) is the quotient of the functions g(x) and h(x)

For the function f(x) to have real values, the function h(x) must not equal 0

i.e. h(x) ≠ 0

This is so because

A number or an expression divided by 0 is not a real number

Hence, the true statement is that the domain of f(x) consists of all values of x where h(x) does not equal 0.

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Complete question

which of the following statements is true about a rational function of the form where g and h are polynomial functions?

A. If the rational function has a removable discontinuity, then it cannot have a vertical asymptote. g(x)

B. The rational function f(x) h(x) will have a removable discontinuity at x = a if g(a) = 0. g(x)

C. The domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

D. If the rational function has a removable discontinuity, then it cannot have a horizontal asymptote.

There are 86 treats did Sidney buy in all.

We have to given that;

Sidney bought some treats for her puppy.

And, She bought 5 packs of crunchy treats and 7 bags of soft treats.

Since, There were 6 crunchy treats in each pack and 8 soft treats in each bag.

Hence, Total crunchy treats in 5 packs are,

= 5 x 6

= 30

And, Total soft treats in 7 bags are,

= 8 x 7

= 56

Therefore, Total number of treats did Sidney buy in all is,

⇒ 56 + 30

⇒ 86

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Answer:

square and cube

square- 8

cube- 4

Answer:

C) square and cube

Step-by-step explanation:

Square: 4×4×4×4=64

Cube: 8×8=64

Can I please have Brainliest?

Answer:

Renee would have to sell 750 food processors for both companies to pay her the same amount. Also, if Renee expects to sell less than 750 food processors she should accept Puree Processors offer but if she expects to sell more than 750 food processors, she should accept Pro Process Processors offer.

Step-by-step explanation:

In order to determine the number of food processors Renee would have to sell for both companies to pay her the same amount, you can write an expression in which the salary at  Pro Process Processors is equal to the salary at Puree Processors, which can be expressed as:

15,000+25x=18,000+21x

Now, you can solve for x that represents the number of food processors:

15,000+25x=18,000+21x

25x-21x=18,000-15,000

4x=3,000

x=3,000/4

x=750

According to this, Renee would have to sell 750 food processors for both companies to pay her the same amount. Also, if Renee expects to sell less than 750 food processors she should accept Puree Processors offer but if she expects to sell more than 750 food processors, she should accept Pro Process Processors offer.

The ΔH values associated with the dissolution of lithium chloride that are exothermic involve the release of heat energy. When a substance dissolves in a solvent, it can either release heat (exothermic) or absorb heat (endothermic).

Here are the steps to determine if the dissolution of lithium chloride is exothermic:

1. Look for the chemical equation that represents the dissolution of lithium chloride. In this case, it would be:

LiCl(s) → Li+(aq) + Cl-(aq)

2. Examine the enthalpy change (ΔH) associated with this chemical equation. If the ΔH value is negative, it indicates an exothermic process, meaning that heat is released during the dissolution. If the ΔH value is positive, it indicates an endothermic process, meaning that heat is absorbed during the dissolution.

So, to identify the exothermic ΔH values associated with the dissolution of lithium chloride, you need to find experiments or reliable sources that provide the enthalpy change values for this reaction.

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Answer: 854.5

Step-by-step explanation:

I got it wrong so it gave me the explanation

The distance between A and B is 853.75

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: Height = 111 feet

Tan 5° = 111/base ⇒ base = 1268

Tan 15°=111/base-AB ⇒base-AB=414.25

                                             AB=853.75

Hence, The distance between A and B is 853.75

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Answer:

y = 8

x = 3

Step-by-step explanation:

5x+y=23

3x+y=17

cancel out the Xs

 15x + 3y = 69

-15x - 5y = -85

-2y = -16

y = 8

Plug in 8 for the Y in any of the equations it doesn't matter

3x + y = 17

3x + 8 = 17

3x = 9

x = 3

hope this helps

The p-value for the test of the claims is roughly 0.004.

To test the claim of the bulb patron, we can use a thesis test with the following null and indispensable suppositions.

We can use the binomial distribution to calculate the probability of observing 1050 or further imperfect bulbs out of,000 if the imperfect rate is 0.01 or lower. This probability is the p-value of the test.

To calculate the p-value, we need to use the binomial distribution and find the probability of observing 1050 or further imperfect bulbs out of,000 if the imperfect rate is 0.01 or lower. Using a binomial calculator or statistical software, we can find that the probability of observing 1050 or further imperfect bulbs is roughly 0.004.

Since this p-value is lower than the significant position of 0.05, we can reject the null thesis and conclude that the imperfect rate of the bulbs is more advanced than 0.01.

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The back-to-back stemplot, it appears that women study more than men (or at least claim that they do).

To compare the study habits of men and women, we can create a back-to-back stemplot. This type of plot allows us to compare the distribution of data between the two samples.

First, we need to gather data on the study hours for both men and women. Let's say we collected data from a sample of 50 men and 50 women.

Next, we can construct the stemplot by listing the stems (tens digit) for both samples in ascending order, followed by the leaves (units digit) for each group.

For example, let's say the study hours for men range from 10 to 50, and for women range from 15 to 55. The back-to-back stemplot would look like this:

Men:
1 | 0 0 1 2 3 3 4 4 5
2 | 1 1 1 1 2 3 3 3 3 4 5

Women:
1 | 5 5 5 5 6 6 7 7 7 7 7
2 | 1 1 1 2 2 2 3 4 4 5 5

From the stemplot, we can observe the distribution of study hours for both men and women. We can see that women generally have a higher number of study hours compared to men.

However, it is important to note that this is based on the collected data and may not represent the entire population.

Based on the back-to-back stemplot, it appears that women study more than men (or at least claim that they do).

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To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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Answer:

1.6 or 1(rounded to the nearest whole)

Step-by-step explanation:

Benjamin can string popcorn at a rate of 24:15 where 24 is the amount of popcorn kernels and 15 is the number of minutes. To find the rate of one minute we can divide 15 by both sides to get the rate.

\(24/15:15/15\)

\(1.6:1\)

As you can see by divided it you can get one minute, so 1.6 popcorn kernel, if you wanted to round it would be 1 popcorn kernel.

Answer:

1.6

Step-by-step explain:

Divide the numbers and then that's the answer I believe.

Shortest distance from the point (2, 0, -3) to the plane x + y + z = 1 is √3 units.

To find the shortest distance between a point and a plane, we can use the formula:

distance = |ax + by + cz + d| / √(a² + b² + c²)

where a, b, and c are the coefficients of the plane's equation, d is the constant term, and (x, y, z) is the coordinates of the point.

In this case, the plane is x + y + z = 1, so a = 1, b = 1, c = 1, and d = -1. The point is (2, 0, -3), so x = 2, y = 0, and z = -3. Plugging in these values, we get:

distance = |1(2) + 1(0) + 1(-3) - 1| / √(1² + 1² + 1²)

= 3 / √3

= √3

Therefore, the shortest distance from the point (2, 0, -3) to the plane x + y + z = 1 is √3 units.

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Answer:

Factored completely is: 3x^2 (x+3)(x-2)

according to your question - probs (x-2), no other choice

Step-by-step explanation:

have fun friend & have a good day friend :)

Answer:

0.22 grams per cm^3 is your answer, Hopes this helps

Step-by-step explanation:

50x10x30=15000 Cm^3

3300/15000= 0.22 g/cm^3

Step-by-step explanation:

= (-6x + 6) + (-3x - 7)

= (-6 - 3)x + (6 - 7)

= -9x - 1

Answer:

5  5/8

Step-by-step explanation:

6 3/8 - 6/8

The denominators are the same, so we borrow from the 6

Borrw 1 in the form 8/8

6 + 8/8 +3/8 - 6/8

5 11/8 - 6/8

5  5/8

Answer:

see image

Step-by-step explanation:

see image. Simplify each expression, then put them in order from smallest to biggest and put them on the numberline. See image.

Answer:

15

Step-by-step explanation:

Let's call the mystery number x.

\(14\cdot 15\cdot x=3150 \\\\210x=3150 \\\\x=3150/210=15\)

Hope this helps!

The equation that represents the third number is x × 15 × 14 = 3150. Then the third number is 15.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The product of three numbers is 3150. Two of the number are 14 and 15.

Let 'x' be the unknown number. Then the equation is given as,

x × 15 × 14 = 3150

Simplify the equation, then we have

x × 15 × 14 = 3150

210x = 3150

x = 3150 / 210

x = 15

The equation that represents the third number is x × 15 × 14 = 3150. Then the third number is 15.

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Answer: ?

Step-by-step explanation: Is that the whole question? I don't really understand the question.

Answer:

17coins

Step-by-step explanation:

cuz 10 × y = 170

170 ÷ 10 = y

17 = y

Answer:

(-2,3)

Step-by-step explanation:

I used Desmos to input these 2 equations and then locate the point(s) at which they intersect.  Since these are both linear, there will be either 1 solution or none at all, but in this case, there is one solution, and it is at the point (-2,3) which is where the 2 graphs intersect.