The complement of set M is ______.

Answer:

All points on line CD are equidistant from A and B

Step-by-step explanation:

Given that point A is the center of circle A and point B is the center of circle B,  and the circumference of circle A passes through the center of circle B which is point B and vice versa.

Therefore we have;

The radius of circle A = The radius of circle B

Which gives;

The distance of the point C to the center A is equal to the distance of the point C to the center B

Similarly, the distance of the point D to the center A is equal to the distance of the point D to the center B

So also the distances of all points on the line from the center A  is equal to the distances of all points on the line from the center B.

Answer:

= 41.32N  

To find N amount

You find the kg weight then times it by 10 then divide that amount by 1/2

So that 180pounds = 81.6466 x 10kg

x10 = 816.466

81.6466 / 2 = 40.8233

sin(30) = 40.8233/T

T =  40.8233/sin (30) =  N / sin(30) = Tension = calculator = -41.3178070464 = 41.32 N

Answer:

y = -4/5x - 5

Step-by-step explanation:

4x + 5y = 45

we need to write it in slope intercept form, so:

5y = -4x + 45

y = -4/5x + 45/5

y = -4/5x + 9

The line is parallel so the slope will be -4/5x, point ( -5 -1 )

y = mx + b

-1 = -4/5(-5)+b

-1 = 4 + b

-1 - 4 = b

-5 = b

y = -4/5x - 5

Answer:

2 is 4/21

3 is 2 1/9

Step-by-step explanation:

Sry if I got it wrong

Answer:

D. -17.5 Hope this helps. Pls give me brainliest :)

the mean of the sampling distribution for the avocados will also be 6 oz.

The mean of the sampling distribution for this population can be determined by the same mean as the population mean. In this case, the mean of the population of avocados is given as 6 oz. The sampling distribution refers to the distribution of sample means taken from the population.

According to the central limit theorem, when sampling from a population, regardless of its underlying distribution, the sampling distribution of the sample means will be approximately normally distributed, centered around the population mean. Thus, the mean of the sampling distribution will be equal to the population mean.

Therefore, in this scenario, the mean of the sampling distribution for the avocados will also be 6 oz. This implies that, on average, the mean weight of the samples drawn from the population will be 6 oz, reflecting the central tendency of the population.

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Complete question is below

A farmstand sells avocados. The population of avocados is normally distributed with a mean of 6 oz and standard deviation of 1 oz. What is the mean of the sampling distribution for this population?

Answer: 72

Step-by-step explanation:

First, multiply the amount of tires and vehicles by 3, because that would make it 2 people and 1 Hour. then, multiply the amount of people by 2. Since we have twice the people, we have twice the tires and vehicles.

The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.

To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:

S(n) = 70000(1.2)

S(n) = 84000

The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)

S(1) = 84000

The percent increase of her salary is: S(n) = 70000(1.2)n

S(n) - S(n-1) / S(n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = 20%

Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.

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Answer:

D. 4

Step-by-step explanation:

Let's look at all the options first. All of the options are below 7 and 10, hence we can deduce that it is not the hypotenuse. Looking at 7 and 10, we see that 10 is the larger number, and hence we know that 10 is the hypotenuse.

Hence, as the other two sides added up in a triangle must be larger than the hypotenuse, the only available option is 4, since 4 + 7 = 11 > 10.

Hope this helped!

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Let us first do the stretch factor of 2

and then, we have to translate 3 units to the left

So we get that

The value of x when y = 14 is 8.4

y, varies directly as x. Therefore,

y ∝ x

Therefore,

y = kx

where

Therefore,

10 = 6k

k = 10 / 6

k = 5 / 3

Hence, when y = 14

y = kx

14 = 5 / 3 x

cross multiply

42 = 5x

x = 42 / 5

x = 8.4

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Using a t-distribution table or calculator, we get the t-score and are 98% positive that the interval (32.126, 53.874) includes the genuine population mean amount the medicine would drop a typical patient's systolic blood pressure to.

We must create a confidence interval for the population mean decrease in systolic blood pressure in order to calculate how much the medicine will reduce a typical patient's systolic blood pressure with a 98% confidence level.

CI = x t /2 * (s / n)

where x is the sample mean, s is the sample standard deviation, n is the sample size, t /2 is the t-score for the desired degree of confidence, and is the significance level (1 - confidence level).

With the supplied variables plugged in, we obtain:

CI = 43 t0.01/2 * (11 / 10)

The t-score at a 98% confidence level and 9 degrees of freedom (n-1) are roughly 2.821, according to a t-distribution table or calculator.

We obtain the following number by substituting it:

CI = 43 2.821 * (11 / 10) = (32.126, 53.874)

As a result, we have a 98% confidence that the interval (32.126, 53.874) contains the actual population mean amount that the medication would reduce the systolic blood pressure of an average patient.

The following requirements must be met for the interval to be valid:

1. The sample is a straightforward random sample taken from the population.

2. For the Central Limit Theorem to be applicable, either the population is normally distributed or the sample size is sufficient (n > 30).

3. A fair estimate of the population standard deviation is the sample standard deviation (which is assumed to be unknown).

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(a) Probability of A is 1/3.

To find the probability of event A, which is the event that x is less than 0, we divide the length of the interval where x is less than 0 by the length of the whole interval (which is 3).

The probability of A is 1/3.

Probability of B is 1/3.

Event B is defined as the event that |x - 0.5| is less than 0.5. To visualize this, consider the number line. |x - 0.5| represents the distance from x to 0.5. Thus, B is the interval between 0 and 1.

The probability of B is also 1/3.

Probability of A∩B is 1/3.

Since B is a subset of A (i.e., every x in B is also in A), the intersection of A and B is equal to B.

The probability of A∩B is the same as the probability of B, which is 1/3.

Probability of A∩C is 5/12.

Event C is defined as the event that x is greater than 0.75. A∩C represents the interval between 0.75 and 2.

The probability of A∩C is 1.25/3 or 5/12.

(b) Probability of A∪B is 2/3

The union A∪B represents the interval between -1 and 1.

The probability of A∪B is 2/3.

Probability of A∪C is 7/12

The union A∪C represents the whole interval except the interval from -1 to 0.75.

The probability of A∪C is 7/12.

Probability of A∪B∪C is 5/6

A∪B∪C represents the whole interval except the interval from -0.5 to 0.75.

The probability of A∪B∪C is 5/6.

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the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

Let x be the side length of the square cut from each corner of the tin sheet. Then the dimensions of the base of the box will be (10-2x) by (10-2x), and the height of the box will be x. Thus, the volume of the box is given by:

V = (10-2x)^2 * x = 4x^3 - 40x^2 + 100x

To maximize V, we take the derivative of this expression and set it equal to zero:

dV/dx = 12x^2 - 80x + 100 = 0

Solving for x using the quadratic formula, we get:

xx = (80 ± sqrt(80^2 - 4*12*100))/24 ≈ 1.74, 5.76

The solution x = 1.74 is extraneous, since it would result in negative dimensions for the box. Thus, the optimal size of the square to be cut from each corner is x = 5.76 inches.

The dimensions of the box with the largest volume are:

Length = Width = 10 - 2x = 10 - 2(5.76) ≈ 3.48 inches

Height = x = 5.76 inches

Therefore, the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

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Answer:

No solution

Step-by-step explanation:

As 6x on lhs and 2×3x on the rhs are equal and cancel each other

eigenvalues of this transformation are:

- λ = 0

- λ = 1

To find the eigenvalues of the given transformation T, we need to solve the equation T(v) = λv, where v is a non-zero vector and λ is the eigenvalue.

Let's consider the transformation T(a, b, c) = (0, a, b) and assume that (a, b, c) is an eigenvector with eigenvalue λ.

Substituting these values into the equation T(v) = λv, we get:

(0, a, b) = λ(a, b, c)

This leads to the following equations:

0 = λa

a = λb

b = λc

From the first equation, we can see that either λ = 0 or a = 0. However, since we are looking for non-zero eigenvectors, λ cannot be 0.

Now, from the second equation, if a = λb and a ≠ 0, then λ = 1.

Finally, from the third equation, if b = λc and b ≠ 0, then λ = 1.

Therefore, the eigenvalues of the given transformation T are λ = 0 and λ = 1.

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$3,000 in an account that earns 4% compound interest after 6 years.

\(p = 3000\)

\(r = 4\)

\(t = 6years\)

\(interest = \frac{prt}{100} \)

\( = \frac{3000 \times 6 \times 4}{100} \)

\( = 720\)

therefore, $720 is the current amount of interest.

Answer:

Give the person above me brainliest plz

Step-by-step explanation:

To solve the initial value problem dy/dx = cos(tx), y(0) = 1, we can integrate both sides of the equation with respect to x.

∫ dy = ∫ cos(tx) dx

Integrating, we get y = (1/t) * sin(tx) + C, where C is the constant of integration.

To find the value of C, we substitute the initial condition y(0) = 1 into the equation:

1 = (1/0) * sin(0) + C

Since sin(0) = 0, the equation simplifies to:

1 = 0 + C

Therefore, the value of C is 1.

So, the constant value of C is +1 (option a).

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Answer:

y = -7

Step-by-step explanation:

It has a slope of zero (it is just a straight,infinite line)

And it passes through the point (5,-7) because it is continuous and infinite

The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

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Answer:

the correct answer is 9/28

Answer:

9/28

Step-by-step explanation:

I hope this helps!

Answer:

5 steps

Step-by-step explanation:

Turn 5/4s into 10/8s and it becomes really easy

The number of steps Erin could paint if he has 5/4 parts of paint, and she needs 2/8 of paint for each stair step, is 5.

It is a basic operation of mathematics in which you divide a number into smaller parts.

Given:

Erin has 5/4 quarts of paint,

2/8 of paint for each stair-step,

Calculate the number of steps painted as shown below,

Number of steps = total paint / paint required for each step

Number of steps = 5/4 / 2/8

Number of steps =

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The values of r are : r = [-1 ± √3]/4 and the function y = e^{rx} satisfies the given differential equation for these values.

Given differential equation is : 2y" + y' - y = 0

We need to find for what values of r, the function y = e^{rx} satisfies the given differential equation.

Given differential equation is : 2y" + y' - y = 0

Let y = e^{rx} , theny' = re^{rx} and y" = r²e^{rx}

Put these values in the given differential equation2y" + y' - y = 02(r²e^{rx}) + r(e^{rx}) - e^{rx} = 0

Divide throughout by e^{rx} to get the characteristic equation2r² + r - 1 = 0

Solving the above quadratic equation using the quadratic formula, we get the roots as

r = [-1 ± √3]/4

If r = [-1 + √3]/4, then

y = e^{rx} = e^{[-1 + √3]x/4} satisfies the given differential equation.

If r = [-1 - √3]/4, then

y = e^{rx} = e^{[-1 - √3]x/4} satisfies the given differential equation.

Hence, the values of r are : r = [-1 ± √3]/4 and the function y = e^{rx} satisfies the given differential equation for these values.

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Answer:

Ascending- 10%, 0.2, 1/4, 30%

Descending- 30%, 1/4, 0.2, 10%

Step-by-step explanation:

0.2 = 2/10 = 4/20

1/4 = 5/20

30% = 30/100 = 6/20

10% = 10/100 = 2/20

Ascending

-2/20, 4/20, 5/20, 6/20

- 10%, 0.2, 1/4, 30%

Descending

- 6/20, 5/20, 4/20, 2/20

- 30%, 1/4, 0.2, 10%

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

m=2x−ye2x

Move all terms that don't contain

x to the right side and solve.

x=4−2m

Answer:

  y ≈ 60.6 units

Step-by-step explanation:

Given a triangle with angles 18° and 117°, and sides 21 opposite 18° and y opposite 117°, you want to know the value of y.

The law of sines tells you the ratios of side length to the sine of the opposite angle are the same for all side/angle pairs in the triangle.

  y/sin(117°) = 21/sin(18°)

  y = 21·sin(117°)/sin(18°) ≈ 60.55

The value of y is about 60.6 units.

The area of the parallelogram is 140 cm².

A parallelogram is a quadrilateral having two pairs of parallel sides (a four-sided polygon). This indicates that opposing sides of a parallelogram are parallel, and opposite angles have the same size.

Given :

Base of parallelogram = 10 cm

Height of parallelogram = 14 cm

Area of Parallelogram = B × H  

Area = 10 × 14

Area = 140 cm²

Area of parallelogram is 140 cm².

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The complete question is:

Answer and Step-by-step explanation:

The point will be (7, 10).

#teamtrees #WAP (Water And Plant)

The image of the point M is M' = (10, 7) as shown in the graph below.

One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.

As per the given data:

Coordinates of point M = (-10, -7)

Rotation to be given = 180° (counter - clockwise)

For drawing the image of point M (-10, -7):

Step 1: Create a line connecting the origin to the point M (-10, -7) and extending across the third and first quadrants.

Step 2: Modify the x and y coordinates signs to reflect the 180° rotation, then mark the point in the first quadrant.

The image of the point M is M' = (10, 7) as shown in the graph below.

Hence, the image of the point M is M' = (10, 7).

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