Pls give me the answer.

The integrating factor is \(e^(0.1t^2)\), and the solution is y = (30/e) * ∫(\(t^2\) * \(e^(-0.1s^2)\) ds) + 6/e. The solution is guaranteed to be unique on the interval (-∞, ∞).

a) The integrating factor is\(e^(t^3/3)\). The solution is y = \((-1/2)e^(-t^3/3) - t^2 + 1\). The solution is guaranteed to have a unique solution for t < infinity.

b) The integrating factor is e^(2t). The solution is y =\(1/2(e^(2t)(t+3) + 5e^(5t) - e^(2t))\). The solution is guaranteed to have a unique solution for t < infinity.

c) The integrating factor is\(t^(-2)\). The solution is y = \((1/t) + ((sin(t)/t^2) - cos(t)/t)\). The solution is guaranteed to have a unique solution for 0 < t < pi.

d) The integrating factor is\(e^\)(-2ln(t+1)). The solution is y = \((3/2t) + (1/2t^2) + (1/2t^2)(t+1)^2\). The solution is guaranteed to have a unique solution for 0 < t < infinity.

e) The integrating factor is \(e^(t^2/10)\). The solution is y =\((50/3)(e^(t^2/10) - e^(0.1t^2))/t^2 + 6\). The solution is guaranteed to have a unique solution for t < infinity.

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The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

I am not exactly sure but it is around 170p

Step-by-step explanation:

Answer:

$76

Step-by-step explanation:

Therefore , the solution of the given problem of equation  comes out to be 454 adult tickets and 733 student tickets were sold.

The formula y=mx+b is used to produce a simple regression curve. The slope is B, and the y-intercept is m. Despite the fact that the previous line represents distinct components, the phrase "math equation blending several variables" is frequently used to describe it. In bivariate linear equations, there are just two variables. Application problems involving linear equations have no known solutions. Y=mx+b, usually known as mx+b, presents an easy-to-understand set of equations.

Here,

Let x be the number of adult tickets sold, and y be the number of student tickets sold.

The total number of tickets sold is 1,187: x + y = 1187.

The total amount of money collected is $3,003: 5x + 1y = 3003.

We can use the first equation to solve for x in terms of y: x = 1187 - y.

Substituting this expression for x into the second equation, we get:

5(1187 - y) + y = 3003

Simplifying and solving for y, we get:

5935 - 4y = 3003

-4y = -2932

y = 733

So 733 student tickets were sold. To find the number of adult tickets sold, we can use either of the original equations. Let's use x + y = 1187:

x + 733 = 1187

x = 454

So 454 adult tickets were sold.

Therefore, 454 adult tickets and 733 student tickets were sold.

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Answer:

Step-by-step explanation:

18x + -2x = 16x in other words 18x - 2x = 16x

Answer:

0.57

Step-by-step explanation:

57 / 100 = 0.57

You need to divide the percent by 100

The coordinates of the triangle after the translation are given as follows:

R'(0, 5), S'(7, 8), T'(0, -1).

The four translation rules are defined as follows:

The figure is translated 4 units right and 3 units up, hence the rule is given as follows:

(x, y) -> (x + 4, y + 3).

The original coordinates are given as follows:

R(-4,2), S(3,5) and T(-4,-4).

Hence the translated coordinates are given as follows:

R'(0, 5), S'(7, 8), T'(0, -1).

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The common number in both sets will be 18. And the row labeled 6 is the multiplication of the row labeled 3 with 2.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A multiplication table.

In the row labeled 3, the numbers 9, 12, 15, 18, and 21 are highlighted.

In the row labeled 6, the numbers 18, 24, 30, 36, and 42 are highlighted.

Look at the highlighted portions in rows 3 and 6.

The common number in both sets will be 18.

The row labeled 6 is the multiplication of the row labeled 3 with 2.

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Answer: the person above is wrong

its 3, 4, 5, 6, and 7

Answer:

I believe it should be rounded to 11, if not decimal would be 10.88

Step-by-step explanation:

49 divided by 9 equals 5.44 which is the amount times the 49cm^2 triangle is compared to the 9cm^2. So then the side is 2cm, multiply by the amount times bigger the other triangle is which would be 10.88. Hopefully I'm not wrong:)

Answer:

The answer is 4 and 2/3 cm²

Step-by-step explanation:

Take the square root of 49 and 9 and you'll get 7 and 3 since the scale factor is the large area over the small area.

The large area would be √49 cm²

The small area would be √9 cm²

  7          x cm

------ =  ----------, cross multiply

  3         2 cm

7 × 2 = 3 × x

14 = 3x

x = 14/3, x = 4 and 2/3

Answer:

Length= 19

Width=16

Step-by-step explanation:

(16x2)+(19x2)=70

38+32=70

The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer:

Step-by-step explanation:

From the question, we are told that to find the sum of the two values 319 + 579, but we are to first convert this two numbers to nearest 10 before estimating the sum.

Step 1: Converting 319 and 579 to nearest 10

To convert to nearest tgen means we are to have just one zero at the end of the number. To do this we will check if the last digit of the value is more than 5, if it is we will round up the value preceding the last number by adding 1 to it but if the last digit of the value is not up to 5,  will round not  up the value preceding the last number.

For 319 to nearest 10 is 320 while 579 to nearest 10 is 580. Note that the last value which is 9 is more than 1, hence the reason for the approximation.

Step 2: Taking the sum of the numbers approximated;

320 + 580

= 900

Sum of the numbers without rounding up is 319+579 = 898

The estimate of the real figure (900) when compared to the actual answer (898) is reasonable because the difference in both value is 2 which is not too significant.

A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.

Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.

Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.

Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.

We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.

The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.

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Answer:

1/5x

Step-by-step explanation:

1/5x

Answer:

vh1235u1 ja ja bujhte parlam na re bon Jovi to the answer to the angle the

The equation to show the perimeter of the rectangle is P = 2(2w + 5)

From the question, we have the following parameters that can be used in our computation:

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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The difference between the observed and expected number of late departures is statistically significant, we need to perform a binomial test by calculating the probability of observing 16 or more late departures out of 300 flights assuming the null hypothesis is true. If the resulting p-value is less than 0.05, we can conclude that the difference is statistically significant.

Based on the given information, an airline with a 95% on-time departure rate has 16 out of 300 flights with late departures. The question asks whether the difference between what occurred (16 late departures) and what you would expect by chance is statistically significant.
To determine if the difference is statistically significant, we need to conduct a hypothesis test. In this case, we can use a binomial test since we are dealing with two possible outcomes: on-time departure or late departure.
The null hypothesis (H0) assumes that the observed number of late departures is equal to what would be expected by chance. The alternative hypothesis (Ha) assumes that there is a significant difference between the observed and expected values.
In this case, the expected number of late departures can be calculated by multiplying the total number of flights (300) by the expected on-time departure rate (95%). This gives us an expected value of 300 * 0.05 = 15.
To perform the binomial test, we can calculate the probability of observing 16 or more late departures out of 300 flights, assuming the null hypothesis is true. This probability can be calculated using the binomial probability formula or by using statistical software.
If the resulting probability (also known as the p-value) is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the difference between what occurred and what would be expected by chance is statistically significant. Otherwise, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the difference is not statistically significant.
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Answer:

i think the fourth one is equvilent ratio

Step-by-step explanation:

Answer:

The 90% confidence interval is  \( 0.0097 <  p_1 -p_2 < 0.0773 \)

Step-by-step explanation:

From the question we are told that

   The first  sample size is \(n_1 =  620\)

    The number of chips that failed is  k = 125

   The second sample size is \(n_2  =  820\)

    The number of chips that fail is  \(u  = 130\)

Generally the confidence level is  90% , hence the level of significance is  

    \(\alpha =  (100 - 90)\% \)

=>  \(\alpha = 0.10 \)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.645\)

Generally the first sample proportion is  

       \(\r p _1 =  \frac{125}{620}\)

=>     \(\r p _1 = 0.202\)

Generally the second  sample proportion is  

       \(\r p _1 =  \frac{130}{820}\)

=>     \(\r p _1 = 0.1585\)

Generally the standard error is mathematically represented as

\(SE =  \sqrt{\frac{\r p_1 (1 - \r  p_1)}{n_1} +\frac{\r p_2 (1 - \r  p_2)}{n_2}  }\)    

=> \(SE =  \sqrt{\frac{0.202(1 - 0.202)}{620} +\frac{0.1585 (1 - 0.1585)}{820}  }\)  

=>  \(SE = 0.0206\)  

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } * SE\)

=>     \(E = 1.645 * 0.0206\)

=>    \(E =0.0338\)

Generally 95% confidence interval is mathematically represented as  

      \((\r p_1 -\r p_2) -E <  p_1 - p_2 <  (\r p_1 -\r p_2) +E \)

=>    \((0.202 -0.1585) -0.0338 <  p_1 - p_2 < (0.202 -0.1585) +0.0338 \)

=>    \( 0.0097 <  p_1 - p_2 < 0.0773 \)

1. The difference in the distance of Jupiter from the sun than Mercury will be 4.816.

2. The difference in the distance of Neptune from the sun than Mars will be

3. The greatest distance between Earth and Uranus is Uranus.

4. The greatest distance between Venus and Saturn is Saturn

From the information, the average distance from the sun to each planets have been given. The difference in the distance of Jupiter from the sun than Mercury will be:

= 5.203 - 0.387

= 4.816

The difference in the distance of Jupiter from the sun than Mars will be:

= 30.07 - 1.524

= 28.546

The greatest distance between Earth and Uranus is Uranus and the greatest distance between Venus and Saturn is that of Saturn.

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Answer: 30kg

Step-by-step explanation:

100% = 60kg

50% = 100% /2

60kg(100%)/2 = 30kg(50%)

Answer:

Step-by-step explanation:

Proportion:

60 kg  -   100%

X kg - 50%

X = 60·50% / 100% = 30 kg

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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31.4 is your answer :)

The calculated value of k on the line is 9

From the question, we have the following parameters that can be used in our computation:

XZ is the perpendicular bisector of segment WY

This means that

WX = XY

substitute the known values in the above equation, so, we have the following representation

3k - 4 = 2k + 5

So, we have

3k - 2k = 4 + 5

Evaluate

k = 9

Hence, the value of k is 9

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Answer:

8/12

Step-by-step explanation:

Answer: (4/5) + (1/7) = (33/35)

Step-by-step explanation:

(4/5) + (1/7) = {(28+5)/35} = 33/35

Answer:

+95/12

Step-by-step explanation:

1 2/3 = 5/3

4 3/4 = 19/4

-5/3 x -19/4

+95/12

The Ratio of the boy's allowance to his sister's is 5 : 4.

The new Ratio is 1 : 10000.

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