Can I get help please!

Answer:

you betrayed me and i know that youll never feel srry

Step-by-step explanation:

The general solution to the given differential equation using the method of Variation of Parameters is y(x) = C1e^x + C2xe^x + C3x^2e^x + C4e^-x + 6x^2ln(x)e^x.

The method of Variation of Parameters is a technique used to find a particular solution to a non-homogeneous linear differential equation. In this method, we assume the particular solution has the form y_p(x) = u1(x)y1(x) + u2(x)y2(x) + u3(x)y3(x) + u4(x)y4(x), where y1, y2, y3, and y4 are linearly independent solutions of the corresponding homogeneous equation. We then solve for the functions u1(x), u2(x), u3(x), and u4(x) by substituting this form of y_p(x) into the differential equation and equating coefficients.

In this case, the corresponding homogeneous equation has four linearly independent solutions: e^x, xe^x, x^2e^x, and e^-x. Using these solutions, we can find the particular solution by solving for the functions u1(x), u2(x), u3(x), and u4(x). Finally, the general solution is obtained by adding the particular solution to the general solution of the homogeneous equation.

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Step-by-step explanation:

140/70=2 Therefore, 1 apple equals 2 percent

The remaining 30 percent times 2 equals 60

60 apples plus 140 apples equals 200 apples

Answer B

Answer:

200.

Step-by-step explanation:

70% is equivalent to 140

10 %  .............................. 140/7 = 20 apples

100% ................................. 10*20 = 200.

Answer:

The measure of an exterior angle = 125°

Hence, option A is correct.

Step-by-step explanation:

As the given triangle is a right-angled triangle ΔABC.

Given the angles

We know that the sum of angles in a triangle is 180°.

Thus,

m∠A + m∠B + m∠C = 180°

substituting m∠A = 35° and m∠C = 90° in the equation

35° + m∠B + 90° =  180°

125 + m∠B = 180°

subtract 125 from both sides

125 + m∠B - 125 = 180° - 125

m∠B = 55°

Thus, the measure of angle B is:

m∠B = 55°

As the exterior angle of the given triangle is adjacent to m∠B = 55°.

We know that the exterior angle of a triangle is equal to the sum of two opposite interior angles.

Here,

∠A and ∠C are two opposite interior angles of the exterior angle.

Thus,

The measure of an exterior angle is equal to the sum of two opposite interior angles.

as

so

Exterior angle = m∠A + m∠C

                        = 35° + 90°

                        = 125°

Thus, the measure of an exterior angle = 125°

Hence, option A is correct.

There are 62,891,499 different lottery tickets you can choose for a 7/47 lottery where order is not important, and numbers do not repeat.

Using a combination formula, we may extract the number of alternative arrangements from a set of objects or numbers. The combination formula, however, enables us to select a necessary item from a group of items.

To calculate the number of different lottery tickets you can choose for a 7/47 lottery, where order is not important and numbers do not repeat, we can use the concept of combinations.

In a 7/47 lottery, you need to choose 7 numbers out of 47 without considering their order and with no repetition. This can be calculated using the combination formula.

The combination formula is given by:

C(n, k) = n! / (k!(n-k)!)

Where n! represents the factorial of n, which is the product of all positive integers up to n.

In this case, we have n = 47 (the total number of available numbers) and k = 7 (the number of numbers to be chosen).

Plugging these values into the combination formula, we get:

C(47, 7) = 47! / (7!(47-7)!)

Simplifying this expression, we have:

C(47, 7) = 47! / (7! * 40!)

Since the numbers are quite large, it's more practical to use a calculator or a computer program to compute the factorial values and perform the division.

Using a calculator or a program, we find that C(47, 7) is equal to 62,891,499.

Therefore, there are 62,891,499 different lottery tickets you can choose for a 7/47 lottery where order is not important, and numbers do not repeat.

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The required probability for the parts which are examined for defects are ;

1. Probability of both the parts are good is equal to 0.375.

2. Probability represents exactly one part has major defect is 0.2333.

Here, we have,

Total number of parts to be examined for defects = 16

Number of good parts = 10

Number of parts with minor defects = 4

Number of parts with major defects = 2

Number of parts to be chosen at random without replacement = 2

Total number of outcomes = ¹⁶C₂

                                            = (16!) / ( 16 - 2 )!2!

                                            = 120

1. Probability of both the parts to be good

Number of favourable outcomes = ¹⁰C₂

                                                       = 10! / (8!)(2!)

                                                       = 45

Required Probability = 45 / 120

                                  = 0.375

2. Probability of exactly one major defect

Number of favourable outcomes= ²C₁ × ¹⁴C₁

                                                     = 2 × 14

                                                     = 28

Required Probability = 28/ 120

                                  = 0.2333

Therefore, the probability of both are good is 0.375 and probability of exactly one major defect is 0.2333.

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The above question is incomplete, the complete question is:

'16 parts are examined for defects. It is found that 10 are good, 4 have minor defects, and 2 have major defects. Two parts are chosen at random from the 16 without replacement; that is; the first part chosen is not returned to the mix before the second part is chosen:

1. What is the probability that both parts are good?

2. What is the probability that exactly one part has major defect?'

Therefore, the given integral is ∫x csc (2x) cot (2x) dx= (1/2)[x csc(x) - ln|csc(x) + cot(x)|] + C.

Given expression : ∫x csc (2x) cot (2x) dx

To integrate this, we can substitute u = 2x so that du/dx = 2dx.

Then dx = du/2.

Making this substitution gives :

∫x csc (2x) cot (2x) dx

= ∫(1/2)u csc (u) cot (u) du

Integrating this expression by parts, taking u = csc(u) and dv = (1/2)u cot (u)du will result in :

∫x csc (2x) cot (2x) dx

= (1/2)[x csc(x) - ln|csc(x) + cot(x)|] + C

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The correct answer is C. 14.  Ages are consecutive even integers, which means that V is an even number and T is the next even number after V.

Let's call Victoria's age "V" and Tyee's age "T". Since Victoria is older than Tyee, we know that V > T.
Since the product of their ages is 80, we can write an equation:
V x T = 80
We can substitute T with V + 2 (since T is the next even number after V):
V x (V + 2) = 80
Expanding the equation, we get:
V^2 + 2V = 80
Rearranging, we get a quadratic equation:
V^2 + 2V - 80 = 0

To solve this problem, we need to use algebra to set up an equation and then solve for the variable. The given information tells us that Victoria is older than Tyee, and their ages are consecutive even integers. Let's call Victoria's age "V" and Tyee's age "T".
Since Victoria is older than Tyee, we know that V > T. We also know that their ages are consecutive even integers, which means that V is an even number and T is the next even number after V. We can express this relationship as:
V = T + 2
This still doesn't work, so we need to try the next lower even integer value for T (which is 8):
16 x 8 = 128 (not equal to 80)
This doesn't work either, so we need to try a smaller even integer value for V (which is 14):
14 x 12 = 168 (not equal to 80)
We can see that this also doesn't work, so we need to try the next lower even integer value for T (which is 10):
14 x 10 = 140 (not equal to 80)
This is closer, but still not equal to 80. So, we need to try the next lower even integer value for T (which is 8):
14 x 8 = 112 (not equal to 80)
This works! So, V = 14 and T = 8. Therefore, Victoria is 14 years old (which is the larger of the two consecutive even integers).

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Answer:

-5

Step-by-step explanation:

We can see two points that the line intersects:

(0,2) and (1,-3)

‘From that we can find the slope:

\(\frac{y_2-y_1}{x_2-x_1} = \frac{-3-2}{1-0} = \frac{-5}{1} = -5\)

So, A.

:)

Answer:

-5

Step-by-step explanation:

Fast and loose: it's a negative number, since the line is decreasing, and it's decreasing faster than the diagonal of the II-IV quadrant (y=-x) so it's a number less than -1. Slope it's thus -5 or close to it.

More rigorous: start counting the squares. A slope of \(\frac ab\) tells you that every time you move vertically by a squares, you moved horizontally by b squares. Here to advance from 0 to 1 you went down from 2 to -3, ie you subtracted 5. Slope is -5

The correct option is (a). basic statistical tests the technique is likely to discover a value that is 10x larger than the next highest value in a dataset of 500,000 records is basic statistical tests.

Statistical assessments are utilized in speculation trying out. They may be used to: decide whether a predictor variable has a statistically substantial relationship with an outcome variable. estimate the distinction between or more groups.

Two main statistical techniques are used in data analysis: descriptive facts, which summarize records of the usage of indexes along with suggestions and median and every other is inferential facts, which draw conclusions from records of the usage of statistical assessments including pupil's t-take look at.

In fact, there are foremost kinds of assessments: parametric and non-parametric. each sort of assessment is used to make inferences about a populace based on a sample. The difference between the 2 styles of tests lies within the assumptions that they make about the records.

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Answer:

Step-by-step explanation:

\(\begin{bmatrix}-2x+5y=8\\ 2x+2y=3\end{bmatrix}\\\\2x+2y=3\\+\\\underline{-2x+5y=8}\\7y=11\\\\\begin{bmatrix}-2x+5y=8\\ 7y=11\end{bmatrix}\\\\Solve\:7y=11\:for\:y\: \:, y= \frac{11}{7} \\\\\mathrm{For\:}-2x+5y=8\mathrm{\:plug\:in\:}y=\frac{11}{7}\\\\Solve\:-2x+5 \frac{11}{7}=8\:for\:x\:,x= -\frac{1}{14}\\\\x=-\frac{1}{14},\:y=\frac{11}{7}\)

Explanation:

This is a constant vertical line on x = -1

Answer:

The graph is:

The value of log 10 is 1 while the value of log 1.2 is y + x - 1.

A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number. Logarithms even describe how humans instinctively think about numbers.

The value of log 10 = 1 (this is a standard law), it cannot be further broken down

log 1.2 = log (12/10)

log 1.2 = log 12 - log 10

log 1.2 = log (3 x 4) - log 10

log 1.2 = log 3 + log 4 - log 10

but log 3 = y

log 4 = x

and log 10 = 1

Substituting the values

log 1.2 = log 3 + log 4 - log 10

log 1.2 = y + x - 1

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Answer:

see explanation

Step-by-step explanation:

(8x - 75) and (5x) are vertically opposite angles and are congruent , then

8x - 75 = 5x ( subtract 5x from both sides )

3x - 75 = 0 ( add 75 to both sides )

3x = 75 ( divide both sides by 3 )

x = 25

Then

5x = 5(25) = 125°

8x - 75 = 8(25) - 75 = 200 - 75 = 125°

Answer: (5x)°=(8x-75)°=125°

Step-by-step explanation:

Property of vertical angles: vertical angles are equal

Hence,

\((8x-75)^0=(5x)^0\\(8x)^0-75^0=(5x)^0\\(8x)^0-75^0-(5x)^0=(5x)^0-(5x)^0\\(3x)^0-75^0=0\\(3x)^0-75^0+75^0=0+75^0\\(3x)^0=75^0\\\)

Divide both parts of the equation by 3 :

\(x^0=25^0\\(5x)^0=(5*25)^0\\(5x)^0=125^0\)

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3(ab^2)^2}{6a^3b^{-3}}\implies \cfrac{3}{6}\cdot \cfrac{(ab^2)^2}{a^3b^{-3}}\implies \cfrac{1}{2}\cdot \cfrac{(a^2b^4)}{a^3b^{-3}}\implies \cfrac{1}{2}\cdot \cfrac{b^4 b^3}{a^{-2}a^3} \\\\\\ \cfrac{1}{2}\cdot \cfrac{b^{4+3}}{a^{-2+3}}\implies \cfrac{1}{2}\cdot\cfrac{b^7}{a^1}\implies \cfrac{b^7}{2a}\)

Answer:

-25b + 30y + 5

Step-by-step explanation:

I hope this helps!

The domain of the function exists \($(-\infty, \infty)$\) range be \($[0, \infty]$\).

The components of a function are its Domain and Range. In contrast to a function's range, which is the set of all potential outputs, a function's domain is the set of all possible inputs.

All x-values, or inputs, and all y-values, or outputs, make up a function's domain and range, respectively. When viewing a graph, the domain consists of all of the graph's values from left to right. The graph's entire range, from the bottom to the top, is the range.

By listing all of the values in the column that corresponds to the input values on a mapping diagram, the domain of the function may be identified.

In general, the domain of any polynomial is \($(-\infty, \infty)$\).

The range of a positive polynomial \($y=x^a$\) where a is even is \($[0, \infty]$\).

Therefore, the domain exists \($(-\infty, \infty)$\)

Range exists \($[0, \infty]$\).

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The square has a 48 centimeter perimeter.

To find the perimeter of the square, we need to calculate its side length. The area of a rectangle is given by its length multiplied by its width, so we can use the given measurements of the rectangle to calculate its area: 25 cm x 16 cm = 400 cm². The area of a square is given by the square of its side length, so we can use the area of the rectangle to calculate the side length of the square: √400 cm² = 20 cm.

Thus, the perimeter of the square is equal to 4 times its side length, or 4 x 20 cm = 80 cm.

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Overall, the testing facility concluded that the brush tee would be a better option for golfers looking to improve their drives.

An independent golf equipment testing facility compared the difference in the performance of golf balls hit off a brush tee to those hit off a 4 yards more tee. A'Air Force One DFX driver was used to hit the balls, with an average swing speed of 100 miles per hour. The testing facility wanted to determine which tee would perform better and whether it would be beneficial to golfers to switch to a different tee.

The two different types of tees were the brush tee and the 4 Yards More tee. The brush tee is designed with bristles that allow the ball to be suspended in the air, minimizing contact between the tee and the ball. This design is meant to reduce spin and allow for longer and straighter drives. On the other hand, the 4 Yards More tee is designed to be more durable than traditional wooden tees, and its design is meant to create less friction between the tee and the ball, allowing for longer drives.

The testing results showed that the brush tee was able to create longer and straighter drives than the 4 Yards More tee. This is likely due to the brush tee's design, which allows for less contact with the ball, minimizing spin and creating longer and straighter drives.

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Cost price is the total amount paid for the jacket while the selling price is the amount they are sold. The expression for her total earning willbe t(d) = hd - jp

Cost price is the total amount paid for the jacket while the selling price is the amount they are sold.

Total earning = Selling price  - Cost price

If Dafna makes sport jackets and she is paid d dollars per hour, plus a piece rate of p dollars for each jacket.

Cost price = hd

x is the number of hour

Selling price = jp

total earning = hd - jp

Hence the expression for her total earning willbe t(d) = hd - jp

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Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

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Answer:

2500 cm

Step-by-step explanation:

1 meter = 100 cm

25m x 100 = 2500 cm

Answer:

25cm is equal to 2500 cm because 1 m is 100 cm

Step-by-step explanation:

Please, may i have brainly? i need 4 more!

Answer:

X=20

Step-by-step explanation:

3x=2x+20

X=20

the width of the cooler is approximately 18 inches,To find the width of the cooler, we can use the formula for the volume of a rectangular prism:

Volume = Length × Width × Height

Given:
Volume = 7200 in³
Length = 32 in
Height = 12 1/2 in

Let's substitute the given values into the formula and solve for the width:

7200 = 32 × Width × 12.5

To isolate the width, divide both sides of the equation by (32 × 12.5):

Width = 7200 / (32 × 12.5)

Width ≈ 18

Therefore, the width of the cooler is approximately 18 inches, not 120 as mentioned in the question.

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Answer: 4 apples 10 banana

Step-by-step explanation: 4 apples is 4 dollars + 1/2 of 10 which is 5 = 9

to figure this out I start out adding 1 apple and 1 banana to each side starting with 0 apples and 6 bananas until I got to 9 dollars worth of fruit

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

-5x-8.14 is the correct answer

Step-by-step explanation:

First distribute the terms

12x - 1.7 - 17x  -6.7 =

Then add/subtract similar terms

12x - 17x = -5x

-1.7 -6.7 = -8.14

so it's -5x -8.14

:)

Answer: -5x-8.4

Step-by-step explanation:

\(\left(12x-1.7\right)-\left(17x+6.7\right)\)

remove the parentheses

\(12x-1.7-17x-6.7\)

Simplify

Group like terms

\(12x-17x-1.7-6.7\)

Add

\(12x-17x=-5x=\)

\(-5x-1.7-6.7\)

Subtract

\(-1.7-6.7=-8.4\)

= \(-5x-8.4\)

Answer:

The chance of getting a sample  proportion of 70% or greater is 0.026.

Step-by-step explanation:

We are given that a poll shows that 50% of students play sports .

A random sample of 20 students showed that  70% of them play sports.

Let \(\hat p\) = sample proportion of students who play sports

The z-score probability distribution for the sample proportion is given by;

                           Z  =  \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\)  ~ N(0,1)

where, \(\hat p\) = sample proportion of students who play sports = 70%

           p = population proportion of students who play sports = 50%

           n = sample of students = 20

Now, the chance of getting a sample  proportion of 70% or greater is given by = P(\(\hat p\) \(\geq\) 70%)

   P(\(\hat p\) \(\geq\) 70%) = P( \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) \(\geq\) \(\frac{0.70-0.50}{\sqrt{\frac{0.70(1-0.70)}{20} } }\) ) = P(Z \(\geq\) 1.95) = 1 - P(Z < 1.95)

                                                                 = 1 - 0.97441 = 0.026

The above probability is calculated by looking at the value of x = 1.95 in the z-table which has an area of 0.97441.

Hence, the chance of getting a sample  proportion of 70% or greater is 0.026.