Find the general solution to the second order differential equation using the appropriate method of reduction of order: xy''- y' = x^2 e^x.

Step-by-step explanation:

(gof)(x) is basically g(f(x))

= 4 × (3x - 1)² + 9

= 4 × (9x² - 6x + 1) + 9

= 36x² - 24x + 4 + 9

= 36x² - 24x + 13

Answer:

55%

Step-by-step explanation:

We can infer a few things here and come to a logical conclusion.

$9 is not exactly half of 20 right?

So this tells us that our answer needs to be over 50% because a 50% discount would make the bookbag $10.

If we look at the answers only 1 of them is over 50% and that is 55%.

However, let's check our work

First we multiply 20 by .55 (when multiplying a percent we move the decimal over twice)

\((20) *(.55) = 11\)

We got 11 out of this, the next thing we do is subtract that 11 from the overall 20:

\(20-11= 9\)

Therefore we see that 55% is the answer!

Hope this helps!!

- Kay

Step-by-step explanation:

we see that 55% is the answer

Answer:

english pls

Step-by-step explanation:

The area of the sprinkled lawn is approximately 19.625 square meters.

The formula for the area of a circle is:

A = πr²

Where A is the area and r is the radius and π is constant pi ( 3.14 ).

If the sprinkler as a circle with a radius of 2.5 meters. The area that the sprinkler can cover is the area of this circle.

Here, the radius is 2.5 meters, so we can substitute that into the formula:

A = πr²

A = 3.14 × 2.5²

Area = 3.14 × 6.25

Area = 19.625 m²

Therefore, the area is 19.625 m²

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Answer:

156

Step-by-step explanation:

When the response to a variable is going to be ignored, it is coded as "missing". Correct option is D.

When conducting statistical analysis, it is common to encounter responses to variables that are not relevant to the research question or are missing. To properly handle these responses, they need to be coded appropriately.

This allows the statistical software to exclude these responses from analysis without deleting them entirely from the dataset.

It is important to handle missing responses properly as they can introduce bias into the results if not dealt with appropriately. The method for handling missing data depends on the amount and pattern of missing data.

Some techniques for handling missing data include imputation, where missing values are estimated based on other data points, and deletion, where missing data points are removed from the analysis entirely. Therefore, correct option is D.

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Answer:

a) Draw a line horizontally on 4 on the y axis

b)x=2,y=3

Two rays with a common endpoint form an angle. An angle is defined as a geometric figure formed by two rays that share a common endpoint. In other words, an angle is formed when two rays emanating from a common point, and this common point is known as the vertex.

The rays are the sides of the angle, and the angle is measured in degrees. Angles have different measures, ranging from 0 degrees to 360 degrees. The two rays that make up an angle are also called the sides or arms of the angle. The angle is measured in degrees, and the size of the angle depends on the distance between the two sides of the angle that meet at the vertex.

In geometry, an angle can be named in different ways, depending on the context in which it is being used. Angles are essential in mathematics, physics, and other scientific fields, where they are used to measure the rotation of an object, determine the direction of an object, and in other applications involving rays and lines. Two rays with a common endpoint form an angle.

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Answer:   5.423 × 10^-5

Answer:

a. -4

Step-by-step explanation:

plug in -1 into the x.

it will look like this: f(-1)= 1+5(-1)

solve.

1-5 is -4

Answer:

30

Step-by-step explanation:

for a chis-square goodness of fit test, if the number of categories is 6 and the test statistics is 8.4345, p value will be pchisq(8.4345,5)

To test a hypothesis' validity against actual data, a statistical calculation called a p-value is used. The probability of experiencing the results that were observed is calculated using a p-value, assuming that the null hypothesis is true. The p-value can be calculated by looking up the 8.4345 value in the Chi-Square distribution table with 5 degrees of freedom (6-1=5). The resulting p-value will depend on the significance level you choose.

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Answer:

Slope: 12/1

Y intercept: 50

Gregg saves 12 $ each week

Gregg's Father gave him 50$

In 12 weeks Gregg would have 194$

Y=50+12(12)

Y= 50+144

y= 194$

230=50+12x

-50 .  -50

180=12x

180/12 .  12/12

15=x

15 weeks to get 230$

Answer: 2

Step-by-step explanation: When we talk about rate change, we are talking about the slope!

The slope is 2x which means the rate change is rise 2 and run over 1.

If you can please give me a Brainliest, I only need 1 more to become an Ace, thank you!

1) Because \(\angle AOC\) is a central angle, the answer is 50 degrees.

2) By the inscribed angle theorem, the answer is 25 degrees.

Answer:

(I'll need a picture for more help, sorry... But I hope this helps...)

Step-by-step explanation:

Finding Slope from a Graph relies on knowing that Slope is a ratio between the difference in the y-values divided by the difference in the x-values. When finding the slope, you must first find the difference in y-values in the graph. To Find Slope from a Graph you find two points on the line. You then count how many spaces you have to go up by or down by. If you go up, the y-difference is positive and if you go down the y-difference is negative.You must then find the difference in the x-values in the graph.You use the same two points as when you found the y-difference, except this time you could how many spaces you go left or right. If you go right, the x-difference is positive and if you go down the x-difference is negative. The last step is to divide the difference in the y-values by the difference in the x-values. Anytime you Find a Slope from a Graph you must reduce the fraction if it can be reduced.

Answer:

5^6

Step-by-step explanation:

When dividing numbers with exponents that have the same base, you can subtract the exponents.

5^9-3 = 5^6

Answer:

The term is unit fractions.

Answer:

please give brainliest this was hard to type

x h(1/4x) (g)

-2 h(1/4•-2)=h(0) 3.75

0 h(1/4•0)=h(+1) 4

2 h(1/4•2)=h(+2) 4.25

4 h(1/4•4)=h(+3) 4.50

6 h(1/4•6)=h(+4) 4.75

Answer:

that means it would get bigger

Step-by-step explanation:

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

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Answer:

yes it is

Step-by-step explanation:

it is since there is a common ratio between each term

Answer:

6x² + 19x + 15

Step-by-step explanation:

2x(3x+5)+3(3x+5)

= (3x + 5) (2x + 3)

= 6x² + 9x + 10x + 15

= 6x² + 19x + 15

So, the answer is 6x² + 19x + 15

We can start by simplifying the left side of the equation using the distributive property:

2x(3x+5)+3(3x+5) = (2x)(3x) + (2x)(5) + (3)(3x) + (3)(5)

= 6x^2 + 10x + 9x + 15

= 6x^2 + 19x + 15

Now we can compare this expression with the right side of the equation, which is a polynomial in x with unknown coefficients a, b, and c:

ax^2 + bx + c

Since the two sides are equal, their corresponding coefficients must be equal as well. This gives us a system of three equations in three unknowns:

a = 6 (the coefficient of x^2)

b = 19 (the coefficient of x)

c = 15 (the constant term)

Therefore, the solution to the equation 2x(3x+5)+3(3x+5)=ax^2+bx+c is:

2x(3x+5)+3(3x+5) = 6x^2 + 19x + 15

Answer:

Below.

Step-by-step explanation:

Ok so since 71 +25 = 96. A line segment is 180 so 180-96= 84. Hope this is right little hard to see.

Answer:

Step-by-step explanation:

To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right. Here we multiplied the number 98.26 by 100 so we move 2 places to the right. 3. To multiply a decimal by 1000, move the decimal point in the multiplicant by three places to the right

To prove that τ and σ are multiplicative, we need to show that if m and n are relatively prime, then τ(mn) = τ(m)τ(n) and σ(mn) = σ(m)σ(n).

To prove τ(mn) = τ(m)τ(n), we can start by considering the prime factorization of m and n. Let's say m = p₁^a₁ * p₂^a₂ * ... * pₖ^aₖ and n = q₁^b₁ * q₂^b₂ * ... * qₙ^bₙ, where p₁, p₂, ..., pₖ and q₁, q₂, ..., qₙ are distinct prime numbers. Since m and n are relatively prime, none of their prime factors overlap.

Now, the divisors of mn are the numbers of the form p₁^x₁ * p₂^x₂ * ... * pₖ^xₖ * q₁^y₁ * q₂^y₂ * ... * qₙ^yₙ, where 0 ≤ xᵢ ≤ aᵢ and 0 ≤ yⱼ ≤ bⱼ. Thus, the number of divisors of mn, τ(mn), can be calculated by multiplying the number of divisors of m, τ(m), with the number of divisors of n, τ(n). Hence, τ(mn) = τ(m)τ(n).

To prove σ(mn) = σ(m)σ(n), we can again use the prime factorization of m and n. Similar to the previous proof, the sum of divisors of mn, σ(mn), can be calculated by multiplying the sum of divisors of m, σ(m), with the sum of divisors of n, σ(n). Hence, σ(mn) = σ(m)σ(n).

Therefore, we have proved that τ and σ are multiplicative when m and n are relatively prime.

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We have shown that both τ and σ are multiplicative functions, satisfying the properties τ(mn) = τ(m)τ(n) and σ(mn) = σ(m)σ(n) for relatively prime numbers m and n.

To prove that τ (the number of positive divisors) and σ (the sum of positive divisors) are multiplicative functions, we need to show that for any two relatively prime numbers, m and n, the following properties hold:

1. τ(mn) = τ(m)τ(n)

2. σ(mn) = σ(m)σ(n)

Let's start with property 1:

1. τ(mn) = τ(m)τ(n)

If m and n are relatively prime, it means that they do not share any prime factors. Therefore, the divisors of mn are formed by taking a divisor of m and a divisor of n. Each divisor of mn can be uniquely expressed as the product of a divisor of m and a divisor of n.

Since the number of divisors of mn is equal to the product of the number of divisors of m and the number of divisors of n, we can conclude that τ(mn) = τ(m)τ(n).

Now let's move on to property 2:

2. σ(mn) = σ(m)σ(n)

Similar to property 1, we can express the sum of divisors of mn as the sum of products, where each product is formed by taking a divisor of m and a divisor of n. Again, since m and n are relatively prime, their divisors are distinct.

Using the distributive property, we can expand the sum of products as the sum of two separate terms: one involving the divisors of m and another involving the divisors of n. The sum of divisors of mn is therefore equal to the product of the sum of divisors of m and the sum of divisors of n.

Hence, we can conclude that σ(mn) = σ(m)σ(n).

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