Can someone explain what I also have to do?

Yes, the ratio can be represented in the points or decimal form.

As given in the question,

Let us consider two number 2 and 5 to represent in the ratio form 2 : 5.

Therefore, it is possible to represents the ratio of any number in the points or in the decimal form.

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Using the triangle midsegment theorem,

[tex]4x-4=2(x+3) \implies 4x-4=2x+6 \implies x=5 \\ \\ \therefore HJ=8, JE=4[/tex]

Answer:

HJ = 8

JE = 4

Step-by-step explanation:

Theorem:

In a triangle, a segment that has as endpoints the midpoints of two sides is parallel and half the length of the third side.

Segment HJ has as endpoints points H and J which are midpoints of two sides of triangle EFG, so the length of segment HJ is half the length of the third side, segment FG.

HJ = (1/2)FG

x + 3 = (1/2)(4x - 4)

x + 3 = 2x - 2

5 = x

x = 5

HJ = x + 3 = 5 + 3 = 8

JE = x - 1 = 5 - 1 = 4

The expression with four terms is A. a + 2b – 3c + 5f

Algebraic expression can be defined as an expression that is comprised of terms, variables, coefficients, constants and factors.

They are also composed of mathematical or arithmetic operations, such as;

A term can be described as a number, a product or a variable made up of  two or more variables or product of a number and a variable.

From the information given, we have that;

a + 2b - 3c + 5f

The terms are given as;

a

2b

-3c

5f

Hence, the terms are four

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Yes, the following equation √3x^2 - 2x + 1/2 = 0 is a quadratic equation.

A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.

The variable x is raised to the power of 2 (squared) in this equation, which gives the equation its name "quadratic", which comes from the Latin word "quadratum" meaning square.

Quadratic equations can have two solutions, known as roots or zeros, which can be found by using the quadratic formula: x = (-b ± √(b^2-4ac))/2a.

The solutions of a quadratic equation can also be found by factoring the equation or by completing the square method.

Quadratic equations are used in many areas of mathematics  The equation √3x^2 - 2x + 1/2 = 0 is a quadratic equation because it has a variable x with the highest degree of 2 in it.

In conclusion, the equation √3x^2 - 2x + 1/2 = 0 is a quadratic equation.

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Using percentage, 200 students like to see soccer offered, 100 would like to see basketball offered, 100 would like to see baseball offered.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics.

It's 100 * 20 / 100 = 20% ! In this circumstance, percentages are useful. When describing a change from one % to another, we use percentage points. The difference between 10% and 12% is two percentage points (or 20 percent).

Given,

Total students = 400,

50% of students said they would like to see soccer offered,

25% said they would like to see basketball offered, and

25% said that they would like to see baseball offered.

⇒ 50/100 × 400 = 200 students said they would like to see soccer offered,

⇒ 25/100 × 400 = 100 would like to see basketball offered,

⇒ 25/100 × 400 = 100 would like to see baseball offered.

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The Total cost of an adult admission to the ballet is $32 and total cost of admission to the ballet is $196. 00 for 2 adults and 4 children.

We have, The total cost of admission to the ballet for two adults and 4 children

= $196.00

Let the total cost of admission to the ballet for one adult and one children be "$x" and "$y" respectively.

Total cost of admission to the ballet for 2 adults = $2x

Total cost of admission to the ballet for 4 children = $4y

So, The total cost of admission to the ballet for two adults and 4 children

= $( 2x + 4y ) = $196.00

i.e., 2x + 4y = 196

=> x + 2y = 93 ---(1)

Now, An adult admission is $14 more than a child.

So, $x = $14 + $y or x = 14 + y --(2)

We have to solve the two linear equations (1) and (2) using simple Substituation method,

Substituting the value of x from equation (2) into equation (1) ,

14 + y + 2y = 93

=> 14 + 3y = 93

=> 3y = 93 - 14 = 79

=> y = 18

from equation (2), x = 14 + 18 = 32

Hence, the cost of admission for an adult is $32.

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The solution is 2.74.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

9.59 - 6.85

=2.74

Hence, the solution is 2.74.

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No, you cannot prove triangles similar by SSA. The Side-Side-Angle (SSA) postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are similar.

However, this postulate is only sufficient in some cases. To prove triangle similarity, the Side-Side-Side (SSS) postulate, which states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are similar, must be used.

The Side-Side-Angle (SSA) postulate is not sufficient to prove triangle similarity; instead, the Side-Side-Side (SSS) postulate must be used, which states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are similar.

No, you cannot prove triangles similar by SSA. The Side-Side-Angle (SSA) postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are similar.

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The number of people prefer comedy movie be 34 then 75 persons will prefer comedy movies.

A ratio that compares a part to a whole is known as a percentage. Two integers that each represent a component of a whole are compared to determine their proportion. In essence, a proportion asserts the equality of two fractions, despite the difference in magnitude.

The difference between a % and a proportion is that a percentage always has 100 as the denominator and is defined as the relationship or equivalence between two ratios or fractions. Fractions can be used to express proportions and percentages. It's a percentage out of 100.

The given table : super hero sci fi comedy drama romance

[tex]$$\begin{array}{lllll}63 & 24 & 34 & 20 & 17\end{array}$$[/tex]

From the table, the number of people prefer comedy movie = 34

The total number of people surveyed: 63+24+34+20+17=158

Now, the probability of people preferring comedy movie is given by :-

Number of comedy movies [tex]$=\frac{34}{158}$$[/tex]

Based on these findings, it is estimated that, out of 350 respondents, the following number would prefer comedy films:

[tex]$\frac{34}{158} \times 350=75.3164556962 \approx 75$$[/tex]

Therefore, 75 persons will prefer comedy movies.

The complete question is:

The table shows the results of a random survey of people about their favorite movie genres.

super hero sci fi comedy drama romance

63 24 34 20 17

Based on these results, if 350 people are asked about their favorite movie genres, how many people will prefer comedy movies?

Enter your answer to the nearest whole number in the box.

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A company would use a marketing return on investment analysis tool to justify how its advertising dollars are being spent and to utilize its collection of consumer data.

A company would use a marketing ROI analysis tool to justify the effectiveness of its advertising dollars and to make data-driven decisions. It calculates the return on investment for each marketing campaign and compares them to determine which campaigns are generating the most revenue.

Additionally, this tool can analyze consumer data, such as purchasing habits and demographics, to inform marketing strategies and target specific consumer groups. This way, it helps the company to maximize their marketing spend and make decisions based on data insights.

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The multiplicative inverse of 2/-9 is -9/2.

The multiplicative inverse of a number is a number that, when multiplied by the original number, will give a result of 1. In other words, it is the reciprocal of a number.

To get the reciprocal of a fraction, you need to flip the fraction (numerator and denominator)

A multiplicative inverse or reciprocal for a number x, denoted by 1/x.

So the reciprocal of 2/-9 is -9/2.

This is the multiplicative inverse of 2/-9.

Note that if a number is negative when we take the reciprocal, the sign changes and the reciprocal of a negative number is also negative.

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A line's equation is written as y - y(1) = m(x - x(1)), where y(1) is the Y-axis coordinate, m is the slope, and x(1) is the X-axis coordinate.

How to determine a line's equation from two points:

1. Use the slope formula to determine the slope.

2. To find the y-intercept, use the slope and one of the points (b).

3. The x and y in your equation y = mx + b can be replaced by one of your points, and the m can be replaced by the slope you just determined. The only variable remaining is b in such case. To solve for b, use the same methods you would to solve for a variable.

4. You may obtain the equation for a line by plugging in the values of m and b into the slope-intercept form of a line (y = mx + b).

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An equation of a line AC with the given coordinates is 3x+11y+34=0.

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y₁) = m(x - x₁)

where, (x, y) is a random point on the line and m is the slope of the line.

Given that, ΔABC with the coordinates A(-4, -2), B(4, 4), and C(18, -8).

Here, the slope of AC is A(-4, -2) and C(18, -8)

So slope m=(-8+2)/(18+4)

m= -6/22

m= -3/11

Substitute m=-3/11 and (x₁, y₁)=A(-4, -2) in (y - y₁) = m(x - x₁), we get

(y+2)=-3/11 (x+4)

11y+22=-3x-12

3x+11y+34=0

Therefore, an equation of a line AC with the given coordinates is 3x+11y+34=0.

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After the transformation of vertical compression , horizontal shift and reflection as mentioned the transformed equation is given by :

y = (-1/7)(x+ 8)³ .

As given in the question,

Given equation is :

y = x³

When the transformation is done as vertical compression with factor 1/7 it is equal to :

y = ( 1/7 )x³

Now Transformed by horizontal shift of 8 units to the left

y = ( 1 /7)( x + 8 )³

Reflection across the x -axis is given by :

y = - ( 1 /7)( x + 8 )³

Therefore, after the transformation of vertical compression , horizontal shift , and the reflection the required equation is :

y = ( 1 /7)( x + 8 )³.

The above question is incomplete, the complete question is :

What is the equation of y=x^3 with the given transformations?

Vertical compression by a factor of 1/7 ,horizontal shift 8 units to the left, reflection across the x axis.

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The solutions of the quadratic equation x2 7x 4/7 0 are x = 3/7

The solutions of the quadratic equation x2 7x 4/7 0 can be found using the Quadratic Formula. The Quadratic Formula is written as x = -b ± √(b2 - 4ac) / 2a. In this equation, ‘a’ is the coefficient of x2, ‘b’ is the coefficient of x, and ‘c’ is the constant. In this case, ‘a’ is equal to 1, ‘b’ is equal to 7 and ‘c’ is equal to 4/7. Using this information, the Quadratic Formula can be written as x = -7 ± √(72 - 4(1)(4/7)) / 2(1). This simplifies to x = -7 ± √(49 - 16/7) / 2. This can be further simplified to x = -7 ± √(49 - 16/7) / 2. Finally, the equation can be solved to give the two solutions of the equation which are x = 3/7 and x = 2. Thus, the solutions of the quadratic equation x2 7x 4/7 0 are x = 3/7

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percentage of pages read from 100%. Therefore, Olivia has not read 42.86% of the pages.

40/70 = x/100

x = 57.14%

Part B

42.86%

The remaining pages that Olivia has not read can be calculated by subtracting the percentage of pages read from 100%.

100% - 57.14% = 42.86%

Olivia has read 40 pages of a 70-page book, 60 pages of an 85-page book, and 43 pages of a 65-page book. By using a proportion to represent the percent of pages that Olivia has read, it was determined that she has read 57.14% of the pages. This means that there is still 42.86% of the pages that she has not read. This can be calculated by subtracting the percentage of pages read from 100%. Therefore, Olivia has not read 42.86% of the pages.

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If the temparetre at 12 : 30 a.m is T°F

The tempareture at 2: 30 a.m is (T - 1)°F.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" sign in it.

Equations can be divided into three categories based on their degree. The three categories of mathematical equations are as follows:

Linear Equations

Quadratic Equations

Cubic Equations

The time difference is 2 : 30 am from 12 : 30 am = 2 hrs = 120 mins

It is mentioned that after every half hour or 30 mins the temperature decreses by .25° F

So total decrese in tempareture after 2 hrs is (120 * 0.25)/30 = 1° F

If the temparetre at 12 : 30 a.m is T°F

The tempareture at 2: 30 a.m is (T - 1)°F.

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Answer:

(8x-20)+(10x-11)=43

8x-20+10x-11=43

8x+10x-32=43

18x=75

x=37/9

MKL=116/9

JKL=271/9

Hope this helped! :)

The combinations that are possible if all 4 characters should not be same are 6552.

Lets for now we remove the restriction part and see how many possibilities are there if any number can be picked at random.

First digit can be between 1 to 9

Second digit can be between 1 to 9

Third digit can be between 1 to 9

Fourth digit can be between 1 to 9

So the total number of possibilities will be 9 * 9 * 9 * 9 = 6561

now, let's take into account the restriction, since all 4 digits cannot be the same, so we need to terminate:

1111

2222

3333

4444

5555

6666

7777

8888

9999

That is total of 9 numbers.

So after subtracting 9 number from 6561 we get

6561 - 9 = 6552.

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination.

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A dish calling for 1 3/10 cups of onions, 2 cups of spinach, and 4 12 cups of tomatoes requires 4.55 cups of vegetables.

Any number of equal parts or fractions can be used to represent a whole. In standard English, the quantity of a certain size is stated as a fraction. 8, 3/4. Wholes include fractions. In mathematics, numbers are stated as the numerator to denominator ratio. Each of them can be expressed as an integer in simple fractions. True fractions have different denominators and numerators. A fraction is a sum that is a portion of a whole. By breaking the whole up into smaller parts, you can assess it. For instance, 12 is used to denote half of a full number or item.

given

for 2 cups of spinach, 4 12 cups of tomatoes, and 1 3/10 cup each of onions.

Therefore, 91/20 = 4.55 cups of vegetables,

which is 1 3/10 + 2 + 4 1/2 = 13/10 + 2 + 9/4

A dish calling for 1 3/10 cups of onions, 2 cups of spinach, and 4 12 cups of tomatoes requires 4.55 cups of vegetables.

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Answer:

Step-by-step explanation:

y=1 x+3

Answer:

0.5625:1

Step-by-step explanation:

unit rate has a denominator of 1

The three quadratic formulas:

1) Standard form:  y = ax² + bx + c, a ≠ 0

2) Factored Form: y = (x - r₁)(x - r₂)

3) Vertex Form: y = a(x - h)² + k

We know that the quadratic equations are nothing but the polynomial equations of degree 2.

The general form of quadratic equation in one variable of type f(x) = ax² + bx + c , where a, b and c are real numbers with a ≠ 0

Here, the coefficient 'a' is called the leading coefficient and 'c'

is called the absolute term or constant term of f(x).

The values of that satisfy the quadratic equation are known as the roots of the quadratic equation.

The three quadratic formulas are:

1) Standard form: A quadratic equation of the form y = ax² + bx + c, a ≠ 0

2)  Factored Form: y = (x - r₁)(x - r₂), where r1, r2 are non zero real numbers.

3) Vertex Form: y = a(x - h)² + k, where a, h and k are real numbers.

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The product that represents the area of the model will be A. 1/2 × 3/4

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

Based on the information, it should be noted that we have a model with 8 boxes that are illustrated.

In this situation, the area of the model will be:

= 4/8 × 3/4

= 1/2 × 3/4

= 3/8.

The correct option is A.

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A: The domain, range and x-intercept of the function g(x) is x>3, [-∞ < f(x) < ∞] and (19,0) respectively.

B: The vertical asymptote for g(x) is x=3.

C: The interval where the graph of g(x) is positive x=3 and the end-behaviour is not deduced.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The given function is g(x)=-log_4(x-3)+2.

The domain of a function is the set of input or argument values for which the function is real and defined.

The domain of the function is x>3.

The set of values of the dependent variable for which a function is defined is the range.

The range of the function is -∞ < f(x) < ∞.

Plug y=0 into the equation and solve the resulting equation 0=−ln(x−3)/ln(4)+2 for x.

The x-intercept is obtained as (19,0).

Line y=L is a horizontal asymptote of the function y=f(x), if either limx→∞f(x)=L or limx→−∞f(x)=L, and L is finite.

Calculate the limits:

limx→∞(−ln(x−3)/ln(4)+2)=−∞

limx→−∞(−ln(x−3)/ln(4)+2)=−∞

Thus, there are no horizontal asymptotes.

In the graph it can be seen that the line is starting to curve at x=3 so the vertical asymptotes is x=3 and at this point the graph is positive.

Since, the function g(x) is not a polynomial end behaviour cannot be deduced.

Therefore, the range, domain, x-intercept and asymptotes are found.

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Laying in her family's takeout order cost $50, she paid the 4% sales tax and included a $2 temperature tip, making the final price $52.

Prior to taxes, the cost was $50.00. The sales tax was $2.00. Price total, including tax: $52.00 .Guidelines for calculating the final cost given the initial sum and a tax or markup rate. Think about the starting sum first. Multiply the rate by the initial sum to determine the tax or markup. Add the tax or markup to the initial sum to get the whole cost.

In order to calculate the average total cost, the total cost of production is divided by the total amount paid in money. The total-cost formula is a simple and user-friendly process that works by dividing the total cost of production by the quantity of goods produced. Total cost is the collective term for the cost of production as a whole, which includes both fixed and variable costs.

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Answer:

(-4,-2)

Step-by-step explanation:

Since this is substitution, replace the y in the first equation with the one from the bottom.

x+4y=-12

-3x-14=y

x+4(-3x-14)=-12

Now you will solve the problem.

x+4(-3x-14)=-12

Distribute the 4

x-12x-56=-12

put the x's together

-11x-56=-12

add 56 to each side

-11x-56=-12

     +56  +56

-11x=44

divide by -11

-11x=44

/-11  /-11

x=-4

Now, plug that x into one of the equations.I will do the top one because it is easy.

x+4y=-12

substitute x

(-4)+4y=-12

Now, solve the equation

-4+4y=-12

Add 4 to both sides

-4+4y=-12

+4       +4

4y=-8

Divide by 4 to both sides

4y=-8

/4   /4

y=-2

Your answer is a ordered pair, so use the format (x,y) to answer

(-4, -2)

Jacey is looking at coins in a change jar that contains only dimes and quarters. the number of dimes in the jar is 15.

Let q be the number of quarters and d the number of the dimes.

We know that Jackey has 8 more quarters than dimes, so : q = d + 8

We know also that the total amount of money in the jar is $7.25. Since 1 dime = 1$/10 and 1 quarter = 1$/4, then :

d/10 + q/4=7.25

Which means that we need to solve the system of equations:

q=d+8

d/10 + q/4 =7.25

Let's substitute the value of q from the first equation into the second equation:

d/10 + (d+8)/4=7.25

if we multiply all terms by 40, we will get :

4d+10d +80=290

which means : 14d + 80 = 290

By subtracting 80 from both sides, we have :

14d=210

and finally, by dividing both sides by 14, we get :

d=15

The answer is : Jackey has 15  dimes

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