y=A + Cexp(-0.5x^2) is the general solution of the DEQ: y' + xy = 72x. Determine A. Is the DEQ separable, exact, 1st-order linear, Bernouli?

The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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Answer:

D & F

Step-by-step explanation:

(Explanation in picture(graph))

Answer:

no

when you enter the point into the equation and solve, it does not work

Answer:

NO

Step-by-step explanation:

Answer:we are not your servers to that i should solve this problems

Step-by-step explanation:

Answer:

I have no idea? the first is 11 the second is 5 the three is 11 again the last 2 are 1

Step-by-step explanation:

According to the question 1.) False - 3 × 5 matrix columns can be linearly independent. 2.) True , 3.) True , 4.) True , 5.) True , 6.) True - 3 × 2 matrix transformation not one-to-one.

1.) True. If the set of columns of a 3 × 5 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.

2.) False. The effect of a linear transformation on the columns of the n × n identity matrix only determines the image of the standard basis vectors. It does not completely determine the entire transformation.

3.) False. If each row of matrix A has a pivot, it means that the rows of A are linearly independent, not linearly dependent.

4.) True. If A has a pivot in each row, it means that the rows of A are linearly independent, and the linear transformation T : Rn → Rm represented by A is one-to-one.

5.) True. Similar to statement 1, if the set of columns of a 5 × 3 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.

6.) True. If A is a 3 × 2 matrix, it means that the transformation x → Ax maps from R2 to R3. Since the dimensions of the domain and codomain are different, the transformation cannot be one-to-one.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x=61 -> Figure A

x=27 -> Figure B

x=12 -> Figure C

Step-by-step explanation:

For A:

x=61 because the line going through the shape cuts in angle into 2 congruent angles

For B:

The corner adds up to 90 because it a rectangle, and rectangles only have right angles.

So: 2x+10+x-1=90

Solve.

3x+9=90

3x=81

x=27

For C:

The two given angles should add up to 90.

4x+10+2x+8=90

Solve.

6x+18=90

6x=72

x=12

Answer:The answer is C

Step-by-step explanation:

The least surface area of the closed cylinder is 42π, and the corresponding height is 20.

To determine the least surface area of a closed cylinder with volume 20π, we need to minimize the surface area function. The surface area of a closed cylinder consists of two circular bases and a lateral surface area.

Let's denote the radius of the circular base as r and the height of the cylinder as h.

The volume of the cylinder is given by V = πr^2h, and we are given that V = 20π. Therefore, we can write:

πr^2h = 20π

Simplifying the equation, we have:

r^2h = 20

To find the least surface area, we need to minimize the surface area function S(r, h) = 2πr^2 + 2πrh.

Using the equation r^2h = 20, we can express the surface area in terms of a single variable h:

S(h) = 2πr^2 + 2πrh = 2π(20/h) + 2πrh = 40π/h + 2πrh

To minimize S(h), we take the derivative with respect to h and set it equal to zero:

dS/dh = -40π/h^2 + 2πr = 0

Simplifying, we have:

-40π/h^2 + 2πr = 0

Solving for r, we get:

r = 20/h

Substituting this value of r back into the equation r^2h = 20, we have:

(20/h)^2h = 20

Simplifying, we get:

400/h = 20

h = 400/20 = 20

Therefore, the corresponding height is h = 20.

Substituting this value of h into the equation r = 20/h, we get:

r = 20/20 = 1

So, the radius of the circular base is r = 1.

To find the least surface area, we can substitute these values of r and h into the surface area function:

S(h) = 40π/h + 2πrh = 40π/20 + 2π(1)(20) = 2π + 40π = 42π

Therefore, the least surface area of the closed cylinder is 42π, and the corresponding height is 20.

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\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation:}\)

\(\text{3x = 120}^\circ\)

\(\huge\textbf{Simplifying:}\)

\(\text{3x = 120}^\circ\)

\(\huge\textbf{Divide \boxed{\bf 3} to both sides:}\)

\(\rm{\dfrac{3x}{3} = \dfrac{120}{3}}\)

\(\huge\textbf{Simplify it:}\)

\(\rm{x = \dfrac{120}{3}}\)

\(\rm{x = 40}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{x =}\frak{40}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

A

Step-by-step explanation:  The lines are only intersecting with each other once

Answer:

A) 1 solution; consistent and independent

Step-by-step explanation:

on the graph the line only intersects once so there is only 1 solution and if 2 graphs have at least 1 solution it is considered consistent and if it has only one solution then it is independent.

Hopes this helps please mark brainliest

Answer:

Scale factor = 4

Step-by-step explanation:

Scale factor = \(\frac{\text{Dimension of the larger (Image) triangle}}{\text{Dimension of the smaller (Preimage) triangle}}\)

From the given triangle,

Length of one side of the larger triangle = 8 units

Length of the corresponding side of the smaller triangle = 2 units

By substituting the values in the formula of scale factor,

Scale factor = \(\frac{8}{2}\)

Scale factor = 4

The correct test statistic for this hypothesis test is 3.21 or 0.2617

To determine the appropriate test statistic for this hypothesis test, we need to first state the null and alternative hypotheses.

In this case, the null hypothesis is that the population mean height of adult women is equal to 63 inches, while the alternative hypothesis is that the population mean height is greater than 63 inches.

Next, we can use the formula for a t-test to calculate the test statistic:

t = (sample mean - hypothesized mean)/(sample standard deviation/sqrt(sample size))

Plugging in the given values, we get:

t = (64.2 - 63)/(2.9√40) = 3.21 or 0.2617

Therefore, the correct test statistic for this hypothesis test is 3.21. or 0.2617

To determine whether this test statistic is statistically significant, we would need to compare it to a critical value from the t-distribution with 39 degrees of freedom (since we have a sample size of 40 and are estimating one parameter, the population mean). If the test statistic is greater than the critical value, we can reject the null hypothesis and conclude that the population mean height of adult women is greater than 63 inches at a given level of significance.

In summary, the correct test statistic for this hypothesis test is 3.21. To determine whether this test statistic is statistically significant, we would need to compare it to a critical value from the t-distribution with 39 degrees of freedom.

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The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

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The attributes of the function f(x) = (3x - 4) / (x^3 - 16x) are:

Vertical asymptotes at x = -4, x = 0, and x = 4

Horizontal asymptote at y = 3

Domain: (-∞, -4) ∪ (-4, 0) ∪ (0, 4) ∪ (4, ∞)

Zero at x = 4/3

Undefined y-intercept

Let's find the attributes for the correct function:

f(x) = (3x - 4) / (x^3 - 16x)

Vertical Asymptotes:

Vertical asymptotes occur when the denominator of a rational function becomes zero. In this case, the denominator is x^3 - 16x. To find the vertical asymptotes, we need to solve the equation x^3 - 16x = 0.

Factoring out x, we have:

x(x^2 - 16) = 0

Setting each factor equal to zero:

x = 0 (Vertical asymptote at x = 0)

x^2 - 16 = 0

x^2 = 16

x = ±4 (Vertical asymptotes at x = -4 and x = 4)

Therefore, the function has vertical asymptotes at x = -4, x = 0, and x = 4.

Horizontal Asymptote:

To determine the horizontal asymptote, we examine the behavior of the function as x approaches positive or negative infinity. In this case, since the degree of the numerator is equal to the degree of the denominator, we look at the ratio of the leading coefficients.

The leading coefficient of the numerator is 3, and the leading coefficient of the denominator is 1. Therefore, the horizontal asymptote is y = 3/1 = 3.

So, the function has a horizontal asymptote at y = 3.

Domain:

The domain of the function includes all real numbers except for the values that make the denominator zero. In this case, we found that the denominator has vertical asymptotes at x = -4, x = 0, and x = 4. So, the domain is all real numbers except for x = -4, x = 0, and x = 4. In interval notation, the domain is (-∞, -4) ∪ (-4, 0) ∪ (0, 4) ∪ (4, ∞).

Zeroes:

To find the zeros of the function, we set the numerator equal to zero and solve for x:

3x - 4 = 0

3x = 4

x = 4/3

Therefore, the function has a zero at x = 4/3.

Y-Intercept:

The y-intercept is the value of the function when x = 0. Plugging x = 0 into the function, we have:

f(0) = (3(0) - 4) / (0^3 - 16(0))

= -4 / 0

= Undefined

Therefore, the function does not have a defined y-intercept.

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Answer:

J

Step-by-step explanation:

assuming the 2 is a squared s a*a is a2 2*a*-b is -2ab

and -b* -b is b2

Answer:

15/17

Step-by-step explanation:

Remember SOH- CAH - TOA

Answer:

19%

Step-by-step explanation:

If you mulityply by 1.19 you are giving a result of 119%, thus you either multiply by 1.19 or divide first by 100 and then multiply by 119.

The height of the recycling bin in centimeters is 125 cm.

Since the recycling bin is shaped like a right rectangular prism, the volume of the recycle bin is the volume of a rectangular prism. So, volume of recycle bin, V = lwh where l = length of recycle bin = 60 cm, w = width of recycle bin = 40 cm and h = height of recycle bin.

Since we require the height of the recycle bin, making h subject of the formula, we have

h = V/lw

Since V = 300000 cm³, substituting the values of the variables into the equation, we have

h = V/lw

h = 300000 cm³/(60 cm × 40 cm)

h = 300000 cm³/(2400 cm²)

h = 125 cm

So, the height of the recycling bin in centimeters is 125 cm.

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They used 33/100 of their money on equipment which means if they have a budget of 900 dollars they used...

900*33/100=9*33=297 dollars on equipment.

The equation of the other line is y = x + 1.

Equation of a line in slope intercept form can be written as y = mx + c, where m is the slope and c is the y intercept.

Given a line,

y = -3x + 5

Another line has a slope of 1. Let the slope intercept form of the equation be,

y = 1x + c

Given that graphs of two equations intersect has y- coordinate 2.

Let the x coordinate of the intersecting point be x.

Then the point (x, 2) passes through both lines y = -3x + 5 and y = 1x + c.

When substituting (x, 2) in y = -3x + 5,

2 = -3x + 5

-3x = -3

x = 1

So the intersecting point is (1, 2).

Substituting (1, 2) in y = 1x + c,

2 = 1 + c

c = 1

So the equation of the other line is y = x + 1.

Hence y = x + 1 is the equation of the other line.

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Answer:

y = 4x + 2

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

3(-10.5)

Step-by-step explanation:

Answer:

3(-10.5)

Step-by-step explanation:

Answer:

-5 > x

Step-by-step explanation:

3x-11 > 7x+9

-20 > 4x

-5 > x

Given the value of aₙ=-1 and the value of a₁, we can list the first five terms of aₙ by using the relation: aₙ = a₁ + (n-1)dwhere a₁ = 92 and d = -7, therefore;a₅ = 92 + (5-1)(-7)= 92 - 28= 64a₄ = 92 + (4-1)(-7)= 92 - 21= 71a₃ = 92 + (3-1)(-7)= 92 - 14= 78a₂ = 92 + (2-1)(-7)= 92 - 7= 85a₁ = 92 + (1-1)(-7)= 92  Therefore, the first five terms of aₙ are {85, 78, 71, 64, -1}.

Then, we can use the formula aₙ = a₁ + (n-1)d to find the value of the n-th term. In this problem, we are given the value of aₙ=-1, but we need to find the value of a₁.To do that, we use the hint given in the problem: aₙ = a₁ + (n-1)dwhere aₙ = -1 and d = -7, therefore;

-1 = a₁ + (n-1)(-7)= a₁ - 7n + 7

Solving for a₁, we get:a₁ = 7n + 6Now, we have two pieces of information: a₁ = 7n+6 and aₙ = -1Using a₁ = 7n+6, we can list the first five terms of aₙ as follows:a₁ = 7(1) + 6 = 13a₂ = 7(2) + 6 = 20a₃ = 7(3) + 6 = 27a₄ = 7(4) + 6 = 34a₅ = 7(5) + 6 = 41However, these are not the correct values of the first five terms because we were not given the correct value of a₁.

We can use the formula aₙ = a₁ + (n-1)d again to find the correct value of a₁:aₙ = a₁ + (n-1)d-1 = a₁ + (n-1)(-7)a₁ = -1 + 7n - 7a₁ = 7n - 8

Now, we can use a₁ = 7n-8 and d = -7 to find the correct values of the first five terms of

aₙ:a₁ = 7(1) - 8 = -1a₂ = 7(2) - 8 - 1 = -8a₃ = 7(3) - 8 - 2(-7) = -1a₄ = 7(4) - 8 - 3(-7) = 6a₅ = 7(5) - 8 - 4(-7) = 13

Therefore, the first five terms of aₙ are { -1, -8, -1, 6, 13}.

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The correct option is B. 1/2 m + 4 = 20 and D. 4 = 20 – 1/2 m , which are the equations that can be used to find the number of students in Bryan’s homeroom.

A linear equation is one that has that highest degree of 1 possible.

The question is-

The majority of the pupils in Bryan's homeroom—four individuals—have tickets to the school play.

Tickets are held by 20 students.

So, linear equation forms.

B/2+4 =20

B/2 = 20-4 = 16

B/2 = 16

B = 16(2) = 32

Thus, number of students in Bryan’s homeroom is found as 32.

Equation used: B. 1/2 m + 4 = 20 and D. 4 = 20 – 1/2 m

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The correct question is-

Four more than half of the students in Bryan’s homeroom have tickets to attend the school’s musical. 20 students have tickets. Select all the equations that can be used to find the number of students in Bryan’s homeroom.

A. 4 – 1/2 m = 20

B. 1/2 m + 4 = 20

C. 1/2 m – 4 = 20

D. 4 = 20 – 1/2 m

E. 20 + 12 m = 4

For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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