Draw a rotation of segment CD 189 degrees around point D.

Answer:

m=4\(\frac{1}{12\\}\)

Step-by-step explanation:

Basic math

Pretty easy

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The simplified expression of the complex number 6! - 3! is another complex number 6i(1 - 0.5)

The complex number expression is given a:

6! - 3!

Factor out i from the expression

6! - 3! = i(6 - 3)

Factor out 6 from the expression

6! - 3! = 6i(1 - 0.5)

The above means that the simplified expression of the complex number 6! - 3! is 6i(1 - 0.5)

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Step-by-step explanation:

use the formula:

\(v = u + at\)

v = 30 [final velocity]

u = 10 [initial velocity]

a = 2 [acceleration]

solve for t [time]

They will meet after 13.2 minutes and Emilio has walked 0.98 miles when Lynda picks him up

Total distance from Emilio and Lynda live = 10 miles

Time taken to walk the distance = \(2\frac{1}{4}\) hours

Convert the mixed fraction to simple fraction

\(2\frac{1}{4}\) hours = 2.25 hours

Speed = Distance / Time

Speed while walking = 10 / 2.25

= 4.44 miles per hour

Time taken to drive = 15 minutes = 15/60

= 0.25 hours

Speed = 10 / 0.25

= 40 miles per hours

Relative speed = 40 + 4.44

= 44.44 miles per hour

The time taken = 10 / 44.44

= 0.22 hours

= 13.2 minutes

The distance that Emilio walked = Speed × Time

= 4.44 × 0.22

= 0.98 miles

Hence, they will meet after 13.2 minutes and Emilio has walked 0.98 miles when Lynda picks him up

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From the computation of the equation, it can be deduced that the change in water level will be -7.955 centimeters.

Since we're given the information that over 18.5 days, a pool's water level changed by an average of −0.43 centimeter each day, therefore, the total change in the water level will be gotten by multiplying the figures given.

Therefore, this will be:

= 18.5 × -0.43

= -7.955

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Answer:b

Step-by-step explanation:I took it

Answer:

its B...

Step-by-step explanation:

Hope this helps!

The given equation y = 3x + 45 in form ax+by=c is 3x - y = - 45.

So,  y=3x+45 into ax+by=c form:

Therefore, the given equation in form ax+by=c is 3x - y = - 45.

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A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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Answer:

Let us set up a ratio to find the relationship between side lengths of the two triangles.

25:10

5:2

We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.

So, if XZ is 6, let's place it into the ratio and find what "x" is.

5(3) : 2(3)

15 : 6

x = 15

Answer:

a. solution

Area = 50 m^2

Area of square = l^2

or, 50 m^2 = l^2

or, √50m^2 = l

or, 5√2 m= l

Hence, The exact length of the playground is 5√2 m.

During the morning rush hour, there are 6,400 junior and high school students, 3,400 adults, and 5,800 senior citizens riding the subway.

Let's assume the number of junior and high school students riding the subway during the morning rush hour is J, the number of adults is A, and the number of senior citizens is S.

From the given information, we can set up a system of equations based on the number of riders and the revenue generated.

Equation 1: J + A + S = 15,600 (total number of riders)

Equation 2: 1.04J + 2.20A + 1.04S = 32,464 (revenue equation with original ticket prices)

Equation 3: 1.24J + 2.60A + 1.04S = 38,264 (revenue equation with new ticket prices)

We can start by subtracting Equation 2 from Equation 3 to eliminate the J and S terms:

0.2J + 0.4A = 3,800

Next, we can multiply Equation 1 by 0.2 and subtract it from the above equation to eliminate the J term:

0.4A - 0.2J - 0.2A = 3,800 - 3,120

0.2A = 680

A = 680 / 0.2 = 3,400

Now, we can substitute the value of A back into Equation 1 to find the values of J and S:

J + 3,400 + S = 15,600

J + S = 15,600 - 3,400

J + S = 12,200

We have two equations with two variables (J + S = 12,200 and 1.04J + 1.04S = 12,264). By solving these equations simultaneously, we find J = 6,400 and S = 5,800.

Therefore, during the morning rush hour, there are 6,400 junior and high school students, 3,400 adults, and 5,800 senior citizens riding the subway.

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To find the number of subway riders in each category, we set up a system of equations based on the total number of passengers and the total revenue. Solving this system will give us the number of junior and high school students, adults, and senior citizens. The number of riders doesn't change with the increase of ticket prices.

To solve this problem, we set up a system of equations based on the information given in the question.

Let's denote the number of junior and high school students as J, adults as A, and senior citizens as S. We know that there's total of 15,600 passengers, so:

J + A + S = 15,600

We also know that the total revenue was $32,464. Given the ticket prices for each group, we can write:

$1.04J + $2.20A + $1.04S = $32,464

Solving this system of equations (possibly with the help of a calculator or computer software), we can find the number of riders in each category.

The number of riders for each category would only change if the number of riders changes, not the price of the tickets, so when the prices increase, the number of riders remains the same.

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Answer:

11 seconds

Step-by-step explanation:

\( - 16 {t}^{2} + 1936 = 0\)

\( - 16 {t}^{2} = - 1936\)

\( {t}^{2} = 121\)

\(t = 11\)

Answer: 225

Step-by-step explanation:

Create a ratio part/whole for radians = part/whole for degrees

\(\frac{\frac{5\pi }{4} }{2\pi } = \frac{x}{360}\)      Keep change flip because you are dividing fractions for left side

\(\frac{5\pi }{4} (\frac{1}{2\pi }\)) = \(\frac{x}{360}\)

\(\frac{5}{8} (\frac{360}{1} ) =x\)

x = 225

At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:

100 meters / 47.52 seconds = 25 meters / x seconds

where x is the unknown time for one lap in the 25-meter pool.

To solve for x, we can cross-multiply:

100 meters * x seconds = 47.52 seconds * 25 meters

100x = 1188

Dividing both sides by 100, we get:

x = 11.88 seconds

Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

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If the series JK has 12 2 I J K 30, the value of JK is 720

In order to find the value of JK, multiply the given values all through and then generate the answer in a simplified manner

JK=(12)(2)(30)

Multiply all the figures

JK = 12 X 2 X 30

JK = 720

Therefore, the correct answer is as given above. It can be concluded that the value of JK is 720 as a result of the multiplication.

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Answer:

Area of Parallelogram Using Diagonals ; Using Base and Height, A = b × h ; Using Trigonometry, A = ab sin (x) ; Using Diagonals, A = ½ × d1 × d2 .....

Using Diagonals: A = ½ × d1 × d2 sin (y)

Using Base and Height: A = b × h

Using Trigonometry: A = ab sin (x)

Yes, that's correct. The Pareto Chart also called bar charts, named after Vilfredo Pareto, is a graphical tool used in quality control and continuous improvement methodologies such as Six Sigma to help identify the most significant causes of problems.

In a Pareto Chart, the bars are arranged in descending order of height, with the most frequently occurring cause appearing first on the left. This allows you to quickly see which issues are the most pressing and require the most attention. By focusing on the most impactful causes, organizations can achieve the greatest improvement in their processes.

A bar chart gives a visual representation of the information.

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Therefore, a point c satisfying the conclusion of the Mean Value Theorem for f(x) = x⁻³ on the interval [1, 8] is approximately x = 2.3608.

In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. A function is often represented as an equation or a graph. It is a fundamental concept in mathematics and plays a crucial role in many areas, including calculus, algebra, and geometry. Functions are used to model real-world phenomena and solve problems in various fields, such as physics, engineering, economics, and more.

Here,

By the Mean Value Theorem, there exists a point c in the open interval (1, 8) such that:

f'(c) = [f(8) - f(1)] / (8 - 1)

where f'(x) is the derivative of f(x).

First, let's find the derivative of f(x):

f(x) = x⁻³

f'(x) = -3x⁻⁴

Now, substitute the values into the Mean Value Theorem equation:

-3c⁻⁴ = [8⁻³ - 1⁻³] / (8 - 1)

Simplify the right-hand side:

-3c⁻⁴ = (1/512) - (1/1)

-3c⁻⁴ = -511/512

Solve for c:

c⁻⁴ = (511/512) / 3

c⁻⁴ = 511/1536

c = \((511/1536)^{\frac{1}{4} }\)

c ≈ 2.3608

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Answer:

x=−1/2y+9

Step-by-step explanation:

Step 1: Flip the equation.

−2x+18=y

Step 2: Add -18 to both sides.

−2x+18+−18=y+−18

−2x=y−18

Step 3: Divide both sides by -2.

−2x/−2=y−18/−2

Answer:

the answer of it is 35.75

Step-by-step explanation:

Answer: What is The Question

Step-by-step explanation:

You Forgot To add The Picture

Answer:

In this case, you should check the x-intercept (y = 0).

=> (x-3)(x+4) = 0

=> Two x-intercept at x = 3 and x = -4

C, D are  not right, because there is no two x-intercepts.

A is not correct, because both of x-intercepts are less than 0.

=> Option B is correct.

Hope this helps!

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An undefined value is any number which makes the denominator equal 0.

-4 is the only number that equals 0 when it is added to 4

-4 is the correct answer.

Answer:

7 x 3 .

Step-by-step explanation:

Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√49x7 f - 1 ( x ) = 49 x 3 7 is the inverse of f(x)=7x3 f ( x )

The inverse function is y= (x-3)/7

An expression which defines the relationship between two variables (one independent and one dependent variable).

The independent variable is the variable being controlled in the problem, and the dependent variable is the variable that changes with the change of independent variable.

A function that undoes the original function is called the inverse function.

To find the inverse function of a given function,

In the problem,  

y=7x+3

To find the inverse

x = 7y + 3    ( interchanging the variables )

Now finding the value of y,

⇒ x - 3 = 7y

⇒ y = (x-3)/7

This is the inverse function.

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Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.

The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.

An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.

However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.

In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.

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Answer:

1) List the coordinates ΔABC

2) State the rule of dilation

3) Apply the rule:

Ans: A´(6,6) B´(12,18)C´(18,6)

-----------------------------

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have a great day!!

Answer:

A(6,6) B(12,18)C (18,6)

Step-by-step explanation:

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It is given that Dodi has two cups of liquid starch

2 cups =16 fluid ounces

1 container  can hold 6 fluid ounces

We are required to find that how many containers are required

1 container contains 6 ounces

Hence 16 ounces will be contained in 3 containers

Hence Dodi will required 3 containers.

Disclaimer:

The question is incomplete and jumbled

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Step-by-step explanation:

6 cm, 22 cm, 10 cm

7 cm, 25 cm, 11 cm

cm, 22 cm, 11 cm

Answer:

3 lengths that could be the lengths of a triangle are 3; 4; and 5.

Step-by-step explanation:

To determine whether three lengths could be the sides of a triangle, you add two sides together to see if the sum is greater than the length of the last side. If this process is true for all three trials, then the lengths can be the sides of a triangle. If not, then it cannot be. In this case, 3 + 4 = 7 which is greater than 5, 3 + 5 = 8 which is greater than 4, and 4 + 5 = 9 which is greater than 3, so the lengths 3; 4; and 5 can be the lengths of a triangle.