Integrated math 2 NEED HELP ASAP

Answer:

There are 44 jackets and 12 coats.

Step-by-step explanation:

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The mean, median, and mode are:

Mean = 10

Median = 8

Mode = 8

To find the mean, median, and mode of the given set of numbers: 5, 8, 18, 1, 14, 6, 8, 13, 8, 19, we can perform the following calculations:

Mean: The mean is calculated by summing up all the numbers and dividing by the total count of numbers.

Mean = (5 + 8 + 18 + 1 + 14 + 6 + 8 + 13 + 8 + 19) / 10

= 100 / 10

= 10

Therefore, the mean is 10.

Median: The median is the middle value when the numbers are arranged in ascending order. If there are an odd number of values, the median is the middle number. If there are an even number of values, the median is the average of the two middle numbers.

Arranging the numbers in ascending order: 1, 5, 6, 8, 8, 8, 13, 14, 18, 19

Since there are 10 numbers, the median is the average of the two middle numbers, which are the 5th and 6th numbers:

Median = (8 + 8) / 2

= 16 / 2

= 8

Therefore, the median is 8.

Mode: The mode is the number(s) that appear(s) most frequently in the set.

In this case, the number 8 appears three times, which is more than any other number.

Therefore, the mode is 8.

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The equation of the line that passes through the point (6, 7) and is parallel to the line 2x - 3y = 9 is y = 2x/3+3.

According to the question,

We have the following information:

Point through which line is passing = (6,7)

Equation of the line:

2x-3y = 9

We will convert this equation into slope-intercept form:

-3y = 9-2x

3y = 2x-9

Dividing by 3 on both the sides:

y = 2x/3-3

Slope of the line = 2/3

We know that the following formula is used to find the equation of the line:

y-y' = m(x-x')

(y-7) = 2/3(x-6)

y-7 = 2x/3-4

y = 2x/3-4+7

y = 2x/3+3

Hence, the equation of the line that passes through the point (6, 7) and is parallel to the line 2x - 3y = 9 is y = 2x/3+3.

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Based on the given information, the amount of capital this year (K1) could be something less than 25 (option c).

To determine the amount of capital this year based on the given information, we can use the investment and depreciation rates.

Let's denote the amount of capital this year as K1.

According to the information provided:

People invest 55% of income, but we don't have any information about income. Therefore, we cannot determine the exact investment amount.

10% of capital depreciates. Based on this, the capital at the beginning of this year (K1) can be calculated as follows:

K1 = K - 0.1K

= 0.9K

Since we know that the capital last year was equal to 25, we substitute K = 25 into the equation above:

K1 = 0.9 * 25

= 22.5

Therefore, based on the given information, the amount of capital this year (K1) could be something less than 25 (option c).

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Salary = a + b(Year)

A recent study on basketball players examined a number of variables, including the variable years, which refers to the number of years they have been playing basketball, and the variable salary, which refers to the average salary of each player. What is the regression line for predicting salary from years? A regression line is used to predict a dependent variable's value based on the independent variable's value. In the example given, the dependent variable is the average salary of basketball players, whereas the independent variable is the number of years they have been playing basketball. The regression line equation can be expressed as follows:Salary = a + b(Year)In the equation above, a is the y-intercept, which refers to the point where the regression line crosses the y-axis, and b is the slope of the regression line. b represents the amount by which the dependent variable (Salary) changes when the independent variable (Year) increases by one unit. If we know the values of a and b, we can use the regression line to predict a player's salary based on the number of years they have been playing basketball. Therefore, the regression line for predicting salary from years can be expressed as follows: Salary = a + b(Year)

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To solve the equation 4cos^2(x)tan(x) - 2tan(x) = 0 on the interval [0°, 360°), we can use algebraic manipulations and trigonometric identities. Let's simplify the equation step by step:

Start with the given equation: 4cos^2(x)tan(x) - 2tan(x) = 0.

Factor out the common term tan(x): tan(x)(4cos^2(x) - 2) = 0.

Set each factor equal to zero and solve separately:

a) tan(x) = 0:

Since tan(x) is zero at x = 0°, 180°, and 360°, we have x = 0°, 180°, 360° as solutions.

b) 4cos^2(x) - 2 = 0:

Add 2 to both sides: 4cos^2(x) = 2.

Divide by 4: cos^2(x) = 1/2.

Take the square root: cos(x) = ±√(1/2).

To find the values of x in the interval [0°, 360°), we need to consider both the positive and negative square root:

cos(x) = √(1/2):

x = 45°, 315° (since cos(45°) = cos(315°) = 1/√2)

cos(x) = -√(1/2):

x = 135°, 225° (since cos(135°) = cos(225°) = -1/√2)

Therefore, the solutions to the equation 4cos^2(x)tan(x) - 2tan(x) = 0 on the interval [0°, 360°) are: x = 0°, 45°, 135°, 180°, 225°, 315°, and 360°.

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Answer:

X = 3

3 x 3 x 3 = 27

27 - 3 =24

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The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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An inscribed angle is formed by two chords of a circle that intersect at a vertex located on the circle.

The angle itself is formed by the two sides of the angle, which are the line segments connecting the vertex to the endpoints of the chords. The property that makes inscribed angles interesting is that the measure of an inscribed angle is half the measure of the intercepted arc on the circle.

This relationship holds true for any inscribed angle in a circle, making it a useful concept in geometry for solving problems involving angles, arcs, and circles.

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Answer:

The Answer would be OD) Dividing both sides of Equation A by-3 gives x + 7 = -8.

Step-by-step explanation:

Simplify by dividing both sides by negative 3 so -3(x+7)/-3 would be x+7 and 24/-3 would be -8,

Thus, OD) is the answer.

The statement that explains this is true would be OD) Dividing both sides of Equation A by-3 gives x + 7 = -8.

It is given that Mai says x is a number that makes Equation A true and also a number that makes Equation B true.

• Equation A: -3 (x + 7) = 24

• Equation B: x + 7 = -8

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Simplify the Equation A by dividing both sides by negative 3;

so -3(x+7)/-3 would be;

x+7 = 24/-3

Then x + 7 = -8

x= -8 + 7

x = -1

Therefore, The statement that explains this is true would be OD) Dividing both sides of Equation A by-3 gives x + 7 = -8.

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Answer:

c. 35

Step-by-step explanation:

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

Answer:

35

Step-by-step explanation:

Just did test

Functions y=x and y=x-3 are related in a way that each output for y=x–3 is 3  units more than the corresponding output for y=x.

Their graphs are related in a way that the graph of y=x–3 is the graph of y=x translated down 3 units

A function will defines one variable in terms of the other. Functions y=x means that y will vary directly to whatever value x takes.

When the graph of function y=x is drawn, then it is a straight line through the origin.

Now, functions y=x and y=x-3 are closely related. The graphs of the two are almost the same, the only difference is that every point on  function y=x has been lowered by 3 to be function y=x-3.

Hence, the output for y=x-3 is 3 units more than the output of y=x, and the graph of function y=x is translated down by 3 units to get function y=x-3

The graphs for functions y=x and y=x-3 are shown below:

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Answer:y=3x-2

Step-by-step explanation:

Answer:

---

Step-by-step explanation:

W=2x²+9x-7

L=x²-9

2(3x²+9x-16)

6x²+18x-32

The bold is the perimeter.

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Answer:

The measure of the missing angle is 61

Step-by-step explanation:

Using the Consecutive Interior Angles theorem, you know that the angles are supplementary (meaning both angles combine to a 180* plane). Using that logic, you may subtract 119 from 180, and you get a 61* angle.

The 12-ounce bag costs $5.16 is better bag than 9-ounce bag costs $4.14.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

A 12-ounce bag costs $5.16 while a 9-ounce bag costs $4.14.

According to given question we have

A 12-ounce bag costs $5.16 means

12-ounce=$5.16

1 -ounce=$5.16 /12

1 -ounce=0.43 $

Another bag is

9-ounce bag costs $4.14 means

9-ounce= $4.14

1 -ounce=$4.14/9

1 -ounce=0.46 $

So,  12-ounce bag costs $5.16 is better than 9-ounce bag costs $4.14.

Therefore, the 12-ounce bag costs $5.16 is better bag than 9-ounce bag costs $4.14.

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Based on the given information and relationships in the diagram, the three true relationships are:

□AACF AECF by HL

DACBF ACDF by SSS

ACFD AEFD by SSS

Given the information Geometry in the question and assuming appropriate triangle arrangements, the possible true statements based on congruence postulates might include: ∆ACF≅∆ECF by HL, ∆ACB≅∆DFC by SSS, and ∆BFA≅∆DFE by SAS.

The provided question appears to pertain to geometric proofs, specifically in relation to triangles and the principles of congruency. Without a proper diagram, it's somewhat difficult to clarify, but based on the clues given, we can touch on some general principles.

Given that ZBCD is a right angle, BC=DC, DF=BF, FA = FE, the most applicable congruence postulates could be Hypotenuse-Leg (HL), Side-Side-Side (SSS), or Side-Angle-Side (SAS). These are all used to prove that triangles are congruent.

So, if we presume the statements to be: ∆ACF≅∆ECF by HL, ∆ACB≅∆DFC by SSS, and ∆BFA≅∆DFE by SAS, these could possibly be correct given the appropriate conditions in the diagram.

Remember: HL can only be applied in right triangles whereas SSS and SAS can be applied without the right angle requirement. All require the triangles to share at least one side or angle.

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Answer:

x = 15

Step-by-step explanation:

x+10=4x−35

x+10−4x=4x−35−4x

−3x+10−10=−35−10

−3x=−45

x = 15

Answer:

8 feet and 7 inches

Step-by-step explanation:

1 foot = 12 inches

8x12 = 96

96+7=103

Answer:

8 feet and 7 inches

Step-by-step explanation:

1 foot = 12 inches

8x12 = 96

103-96=7

The polynomial function is the product of two different linear factors, (x-2) and (x+3)^2, which means that we have two different roots, x=2 and x=-3

A polynomial function is a function that can be written as constants and n is the degree of the polynomial. The polynomial function y = (x − 2)(x + 3)² is a quadratic function because it has an \(x^{2}\) term.

The roots of a polynomial function are the values of x that make the function equal to zero. In other words, they are the solutions to the equation y = 0.

The polynomial function y = (x − 2)(x + 3)² can be factored as (x-2)(x+3)(x+3), which means that we have three different linear factors, (x-2), (x+3), and (x+3) . Each linear factor corresponds to one root of the polynomial.

So the polynomial function y = (x − 2)(x + 3)² has 2 distinct roots. The correct answer is C.

Alternatively, we can also see that the polynomial function is the product of two different linear factors, (x-2) and \((x+3)^{2}\), which means that we have two different roots, x=2 and x=-3.

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7/8 is greater than 7/12

Answer: 5..6 in.

Step-by-step explanation:

Given

Hypotenuse of isosceles triangle is 8 inches

In isosceles triangle two sides are equal

Suppose the other side is x

Using Pythagoras we can write

\(\Rightarrow x^2+x^2=8^2\\\Rightarrow 2x^2=64\\\Rightarrow x^2=32\\\Rightarrow x=4\sqrt{2}\approx 5.6\ in.\)

Therefore, the lengths of the legs is 5.6 inches

The x-coordinates are -4 and 0.

Answer:

the range is 18.5

Step-by-step explanation:

14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 22, 22, 22, 23, 24, 25, 26, 27.

Then take 1 off of the back and then take one from the front. (continue this until you find your answer)

If I am wrong feel free to yell at me and report me.