Given that the pair of triangles is similar, find the length of the side labeled n.

The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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You know that "P" represents her total pay (in dollars) and "N" represents the number of copies of English is Fun Jane sales.

According to the information given in the exercise, Jane makes $110 for every copy of English is Fun, then you can set up the following expression for this:

Knowing that her base salary is $1500, you can conclude that her total pay "P" will be the sum of her base salary and the amount of money she makes for every copy she sells. Based on this, you can write the following equation relateion "P" to "N":

If Jane sales 29 copies of English is Fun, then:

Substituting this value into the equation and evaluating, you get:

The answers

- Equation:

- Solution:

Her total pay if she sells 29 copies of English is Fun, is $4690

The growth/decay rate of an exponential function can be found by taking the derivative of the function with respect to the independent variable.

K in terms of growth and decay?

The growth rate is represented by the constant k. When viewed in terms of exponential DECAY, it is NEGATIVE. The length of time since then is t. If the time information is provided as dates, you must convert it to the amount of time that has passed from the starting point.

Given the function f(x) = 5(1.34)^t, the derivative with respect to t is:

f'(x) = 5(1.34)^t * ln(1.34)

The derivative represents the instantaneous rate of change of the function, and it is also the growth/decay rate.

So the growth/decay rate of the function f(x) = 5(1.34)^t is 5ln(1.34) * (1.34)^t.

In this function, the growth/decay rate is directly proportional to the function value, and it is a constant times the function value. This means that the function is growing or decaying at a constant rate, the rate being 5ln(1.34) which is the coefficient of (1.34)^t.

This constant rate of change is the growth/decay rate. In this case it is a growth rate of 5ln(1.34) which is approximately 1.99.

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Answer:

8

Step-by-step explanation:

9*8 = 72 + 40 = 112

Answer:

40 + 9x ≥ 112.

9x ≥ 72.

Step-by-step explanation:

write the first equation shown above first, then subtract 40 from 40 and 40 from 112. when subtracting 40 from 40, do not use 0 later in the equation! 112 - 40 = 72. then write the second equation. divide 9x by 9 and divide 72 by 9. again, do not use 0 later on in the equation!!! 72 divided by 9 = 8. Matilda needs to work 8 hours in order to buy the dress. hope this helps! i will show a picture of my work below if that helps you understand better. <3

Greece is different from most other countries in southern Europe because its most popular religion is not Catholicism. Option B

Catholicism refers to the traditions, beliefs, and behaviors of the Catholic Church

Greece is predominantly an Orthodox Christian country, whereas most other countries in southern Europe, such as Italy, Spain, and Portugal, are predominantly Catholic.

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The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

>

>

>

Step-by-step explanation:

..

..................................................

Answer:

(a) 5.44 > 5.17

(b) 7.12 > 1.88

(C) 0.8 > 0.01

Step-by-step explanation:

hope this helps.

brainliest please

2,680 pounds of meat

Step-by-step explanation:

Combine the meat:

116 + 18 = 134

Multiple the total amount of pounds by the number of meatballs:

20 × 134 = 2,680

Answer = 2, 680 pounds are needed

The different group of 2 players that the coach can pick is 45 groups.

The selection of groups of 2 player can be done using the method of combination.

The different group of 2 players that the coach can pick from the 10 players is calculated as follows;

n = 10C2

\(n = \frac{10!}{(10-2)! 2!} = \frac{10 \times 9\times 8!}{8! \times 2} = 45\)

Thus, the different group of 2 players that the coach can pick is 45 groups.

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Answer:

45

Step-by-step explanation:

I hope this helps!

Answer:

1.32%

2.24%

3. 12%

4.35%

5. 6%

6. 30%

7. 65%

8. 200%

9. 125%

10. 300%

Help full?

Systems of Equations

Given the system:

It's required to graph and find the solutions of the system.

Solving the first equation for y:

We can see both equations are exactly the same, so there is only one equation and one line.

Let's give x some values and graph the line.

x = 0:

x = 2

With the points (0, 2) and (2, 1) we graph the line as follows.

Since the number of equations is greater than the number of unknowns, the system has infinitely many solutions. For example, (0, 2) and (2, 1) are solutions for the system.

Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.

In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.

Given,

Triangle W X Z is shown. On side ZX, an altitude is drawn at a right angle from point W to point Y. The angles ZWY and WXY are congruent.

ΔYWZ ~ ΔYXW

Angle XWZ is a right angle is true about Angle XWZ.

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Answer:Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.

Step-by-step explanation:

Got it right on edge

Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

let the other number be " n "

now, according to above condition :

therefore, the other number would be 23.

The domain and the range of the function are

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

The graph

The graph is a piecewise function

When combined gives an absolute function

The rule of a function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is greater than the constant term

In this case, it is 0

So, the range is y > 0

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Question

The graph represents the piecewise function:

f(x) =

What is the domain and range of the function

Answer:

Step-by-step explanation:

so any right triangle (or any triangle) is 180 degrees.

and a right angle is 90 degrees so i know one side. do you have a photo?

Answer:

Option B

Step-by-step explanation:

Use the formula

\(x = \frac{-b\±\sqrt{b^{2}-4ac } }{2a}\)

now input the values. In equation \(x^{2} - 5x + 7 = 0\), a = 1, b = -5 & c = 7

By taking positive sign we get,

\(x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}\)

⇒\(x = \frac{-(-5)+\sqrt{(-5)^{2}-4.1.7 } }{2.1}\)

⇒\(x = \frac{5+\sqrt{25-28 } }{2}\)

⇒\(x = \frac{5+\sqrt{-3 } }{2}\)

In the same way, by taking minus sign, we get \(x = \frac{5-\sqrt{-3 } }{2}\)

a) The confidence level of 99% means that we are 99% sure that the interval contains the true population proportion.

b) The 99% confidence interval for the population proportion is given as follows: (0.3145, 0.4055). It means that we are 99% sure that the true population proportion is between 0.3145 and 0.4055.

c) The 95% confidence interval would be narrower, as it would have a lower critical value, thus the margin of error would also be lower.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(\pi = 0.36, n = 739\)

The lower bound of the interval is given as follows:

0.36 - 2.575 x sqrt(0.36 x 0.64/739) = 0.3145.

The upper bound of the interval is given as follows:

0.36 + 2.575 x sqrt(0.36 x 0.64/739) = 0.4055.

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Answer: oh that's ava

Step-by-step explanation: ;w; I still don't know them-

Answer:

816

Step-by-step explanation:

also hazzy you can talk to me *hugs him* UwU dis ish toga btw

Answer:

C. c = 64 + 2w

Step-by-step explanation:

You're starting with 64 customers and you're gaining 2 for each week.

good luck, i hope this helps :)

Answer:

C. 64 + 2w

Step-by-step explanation:

Answer:

7.45

hope that answers ur question :D

The polynomial 11x⁵  + x⁴ - 4x³ - 5x² + 8 denotes the expression P - Q. The correct option is option A.

What is an expression?

A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression is (Math Operator, Number/Variable, Number/Variable)

Given polynomials are:

P = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5

Q = (2x² + 1) (4x² - 3)

Simplify the polynomial Q = (2x² + 1) (4x² - 3):

Q = (2x² + 1) (4x² - 3)

Q = 2x²(4x² - 3) + 1(4x² - 3)

Q = 8x⁴ - 6x² + 4x² - 3

Add like terms:

Q = 8x⁴ - 2x² - 3

Now calculate P + Q

P + Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 + 8x⁴ - 2x² - 3

Combine like terms:

P + Q = 11x⁵ + (9x⁴ + 8x⁴) - 4x³  + (- 7x² - 2x²) + 5 - 3

P + Q = 11x⁵ + 17x⁴ - 4x³ - 9x² + 2

Now calculate P - Q

P - Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 - (8x⁴ - 2x² - 3)

P - Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 - 8x⁴ + 2x² + 3

P - Q = 11x⁵  + (9x⁴ - 8x⁴) - 4x³ + (-7x² + 2x² )+ (5 + 3)

P - Q = 11x⁵  + x⁴ - 4x³ - 5x² + 8

Now calculate Q - P

Q - P =  8x⁴ - 2x² - 3 - (11x⁵  + 9x⁴ - 4x³ - 7x² + 5)

Q - P =  8x⁴ - 2x² - 3 - 11x⁵  - 9x⁴ + 4x³ + 7x² - 5

Combine like terms:

Q - P = - 11x⁵ + (8x⁴ - 9x⁴) + 4x³ + (- 2x² + 7x²) - 3 - 5

Q - P = - 11x⁵- x⁴ + 4x³ + 5x² - 8

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The question has three parts and the answer of first part is P(32/7, 47/7), the answer of second part is Q(3, 8) and the answer for third part is 72 mm².

If we are given two points A(2, 8) and B(8, 5) and the segment joining the points is divided in the ratio 3:4 by a point P(x, y). The formula of finding the point P(x, y) will be expressed as

P(x, y) = [(mx₂ + nx₁)/m + n, (my₂ + ny₁)/m + n]

where (x₁, y₁) = (2, 8) and (x₂, y₂) = (8, 5) and m:n = 3:4

P(x, y) = [(3×8 + 4×2)/3 + 4,(3×5 + 4×8)/3 + 4]

P(x, y) = (32/7, 47/7) which is the required point.

Now, we need to find the coordinates of mid-point of the points C(2, 6) and D(4, 10). Let us assume that the mid point is Q(x, y) and the formula is expressed as

Q(x, y) = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Q(x, y) = [(2 + 4)/2, (6 + 10)/2]

Q(x, y) = (3, 8)

Now, we need to find the area for the shaded portion. We can find this by subtracting the area of triangle from the area of parallelogram.

The area of parallelogram = Base × Height

Area of parallelogram = 12mm × 8mm

Area of parallelogram = 96 mm²

The triangle is a right triangle and the base of triangle will be

Base = √(Hypotenuse)² - (Perpendicular)²

Base = √(100) - (64)

Base = 6 mm

Now, the area of triangle = 1/2(Base × Height)

Area of triangle = 1/2(6mm × 8mm)

Area of triangle = 24 mm²

Now the area of shaded region = Area of parallelogram - Area of Triangle

Area of shaded region = 96 mm² - 24 mm²

Area of Shaded region = 72 mm²

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Complete Question:

what point divides the directed line segment ab into a 3 4 ratio where  point a is located at 2 8 and point b is located at 8 5;what are the coordinates of the midpoint of cd where c 2 6 and d 4 10.what is the area of the shaded region 21 mm2 24 mm2

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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The sec 132 degrees 15 minutes in degrees is approximately -1.638 degrees.

The secant function, denoted as sec(x), is a trigonometric function that is defined as the reciprocal of the cosine function, cos(x).

In other words,

sec(x) = 1 / cos(x)

The secant function is defined for all values of x except for those where the cosine function is equal to zero, which corresponds to the values x = (2n+1)π/2 where n is an integer. At these points, the secant function is undefined.

To convert sec(132 degrees 15 minutes) to degrees, we first need to convert the angle to decimal degrees.

We know that 1 degree is equal to 60 minutes, so 15 minutes is equal to 15/60 = 0.25 degrees.

Therefore, the angle 132 degrees 15 minutes is equal to 132 + 0.25 = 132.25 degrees.

Now we can find the secant of this angle:

sec(132.25 degrees) = 1/cos(132.25 degrees) ≈ -1.638

So the answer is approximately -1.638 degrees.

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A lurking variable is is a variable that is not measured in the study. It is variable that greatly affects the results or the correlation in a graph.

Population of the city cannot be a variable because it has a definite or 1 measurement in a study which is cannot have different values

Amount of time it takes to get to work, this is also not a variable because this can be constant for each residents in the city

Age of residents, this data can be expressed as a range which is most likely to be a lurking variable. Because in each data of age, or in every age of the residents, there can be have different data of values for the graph.

So the answer is Age of residents

The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.

This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.

For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.

This question is using the percentage decrease theory. According to this theory,

you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.

Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).

Original - Current = Change

120,000 - 3200 = 116,800

Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)

Change / Original = Percentage Change

116,800 / 120,000 = 97%

Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)

Percentage Change x Original = Estimated Original

97% x 120,000 = 116,400

Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

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Answer:

Since it is asking for pages per hour, that is how the ratio (rate) needs to be written. Given 5.5 pages per 12 minutes, you need to convert minutes to hours before writing the ratio. Since there is 1 hour per 60 minutes, (12 minutes)(1 hour/60 minutes) = 12/60 hours = 0.2 hours.

Now that we have the time in hours, we can write the number of pages per hour. 'Per' in math means we are going to write a ratio: pages per hour = (5.5 pages)/(0.2 hour) = 5.5/0.2  pages per hour. Calculate the ratio using division and that is your answer.