Line e has a slope of -4/9. Line f is parallel to line e. What is the slope of line f? Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer:

(6, 0)

Step-by-step explanation:

Answer:

Solution for 0.6x-12.3=7.4-1.9x equation: Simplifying

0.6x + -12.3 = 7.4 + -1.9x

Reorder the terms:

-12.3 + 0.6x = 7.4 + -1.9x

Solving

-12.3 + 0.6x = 7.4 + -1.9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.9x' to each side of the equation.

-12.3 + 0.6x + 1.9x = 7.4 + -1.9x + 1.9x

Combine like terms: 0.6x + 1.9x = 2.5x

-12.3 + 2.5x = 7.4 + -1.9x + 1.9x

Combine like terms: -1.9x + 1.9x = 0.0

-12.3 + 2.5x = 7.4 + 0.0

-12.3 + 2.5x = 7.4

Add '12.3' to each side of the equation.

-12.3 + 12.3 + 2.5x = 7.4 + 12.3

Combine like terms: -12.3 + 12.3 = 0.0

0.0 + 2.5x = 7.4 + 12.3

2.5x = 7.4 + 12.3

Combine like terms: 7.4 + 12.3 = 19.7

2.5x = 19.7

Divide each side by '2.5'.

x = 7.88

Simplifying

x = 7.88

Step-by-step explanation:

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Answer:

x = 7.88

Step-by-step explanation:

0.6x -12.3 = 7.4 -1.9x

2.5x -12.3 = 7.4

2.5x = 19.7

x = 7.88

The function which shows how much Jasmine earns (c) for working (h) hours is c-4.2h=0.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, One day, Jasmine earned $25.20 for 6 hours of work. Another day, she earned $16.80 for 4 hours of work.

Here, the coordinate points are (6, 25.20) and (4, 16.80)

Now, slope m=(16.80-25.20)/(4-6)

m= -8.4/(-2)

= 4.2

Jasmine earns (c) for working (h) hours

Let c=y and x=h

Substitute (x₀, y₀)=(6, 25.20)

(y-y₀)=m(x-x₀)

c-25.20=4.2(h-6)

c-25.20=4.2h-25.2

c-4.2h=0

Therefore, the function which shows how much Jasmine earns (c) for working (h) hours is c-4.2h=0.

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Answer:

I think its 5.6  

Step-by-step explanation:

Well I divided 28 by 5 and got 5.6.

Answer:

Step-by-step explanation:

Find angle U

180 - 42 - 62 = 76°

Find interior angle s

62° because it's an opposite angle

Find angle R

180 - 78 - 76 = 40°

no, the triangles are not similar, angles are different, so answer n° 4

The number line represents an inequality. The inequality is x  ≤ 1.

What is a number line?

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every number line point is considered to correspond to a real number and every real number to a number line point.

If a number line contains a close circle, then the number includes in the inequality.

If a number line contains an open circle, then the number does not include in the inequality.

In the graph, there is a close circle on 1.

The line represents all real numbers less than 1.

Since there is a close circle on 1, thus 1 include in the inequality.

The given variable is x.

The graph represents all real numbers less than or equal to 1.

The inequality is x ≤ 1.

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Answer:

9 hours.

Step-by-step explanation:

Ella earned $54 in total.

We know she makes $6 an hour, so we just divide 54/6 to find the amount of hours she babysat last week.

54/6 = 9 hours

Side note: You are obviously competent enough to make this question, so I am sure you can do the basic math too.

Answer: 9 hours.

Step-by-step explanation:

Divide 54 by 6. 54/6 = 9.

Any combination of rotations, reflections, and translations that maintain the size and shape of the original figure would be considered a series of transformations that would result in a congruent shape.

A congruent square would be produced, for instance, by rotating a square by 90 degrees and then reflecting it over a line of symmetry. A congruent triangle would also result from shifting a triangle to a different place on the plane while maintaining its orientation.

Transformation vital.

It is necessary to realign an institution's structures, cultures, and business models in order to establish a learning environment that significantly and fairly improves student results and educational value. This process can be described as transformation.

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The angle at the vertex of an isosceles triangle has a measure of 80 degrees.

According to the information provided:

A right triangle, also known as an isosceles triangle, is characterized by having two sides that are equal in length and an angle sum of 180 degrees.

8:5 is the ratio of the angle at the vertex to the angle at the base.

Let's say the angles come out to be 5x, 5x, and 8x.

To calculate the angle formed by the vertex, we can apply the formula as follows:

5x + 5x + 8x = 180°

18x = 180°

X = 10°

Thus, the vertex angle would be 8 x 10° = 80°

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Therefore , the solution to the given problem of slope intercept comes out to be y = 3/4x + 2 * 1/5.

The place where the the line slope intersects the y-axis is known as the intersection point. where, on a line or a curve, the una crosses that location. This is demonstrated by using y = changes in different as the formula for the single direction, where m denotes the slope while c denotes the y-intercept. In the intercepting form of the equation, the line's slope (m) the y-intercept (b) are indicated. Slope and y-intercept are, respectively, m and b for equations with the intercept form (y=mx+b). Additionally, certain equations might be modified to look like slope intercepts. When y=x is written as y=1x+0, for example, the slope and una become 1 and 0, respectively.

Here,

In this case, you must first set up your equation in the "Slope intercept" form.

6x=8y+10

Because your y should be alone, add 8y to each of your sides.

8y + 6x = 10

Since subtraction is the exact reverse of addition, multiply 6 times on both sides.

8y = 6x + 10

You will now divide both sides by 8. You will be alone yourself while completing this.

y= 6/8x + 10/8

Though you might leave it as is, you should probably simplify.

either y = 3/4x + 2 1/5 or y = 3/4x + 5/2

Therefore , the solution to the given problem of slope comes out to be

y = 3/4x + 2 * 1/5.

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The classroom has 50 girls. The solution was achieved by adding the ratio values (3+5) to get the total parts, dividing the total students by this value to find the value of each part, and then multiplying this by the number of parts for girls.

The subject of this question is a problem in Mathematics that deals with ratios and proportions. Specifically, the ratio of boys to girls in a classroom of students. The ratio given is 3:5, which means for every 3 boys, there are 5 girls. In a classroom with 80 students, we first need to calculate the total parts of this ratio by adding 3 (boys) and 5 (girls), which gives us a total of 8 parts. Having done that, we can now determine the value of a single part by dividing the total number of students (80) by the total parts (8). This gives us 10 students per part. To find out the number of girls, we multiply the number of parts for girls (5) by the number of students per part we computed (10), which equals 50. Therefore, in this classroom, there are 50 girls.

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(A) The optimal solution to this problem = 2.125

(B) If a technical breakthrough occurred that raised the profit per unit of X to $8, would this affect the optimal solution is, = 10.625

(C) Instead of an increase in the profit coefficient X to $ 8, suppose that profit was overestimated and should only have been $ 3 is, = 10.625

Given that,

The following LP problem:

Maximize profit = 5X + 6Y

Subject to 2X+Y= 120

2X+ 3Y = 240

X,Y= 0

Maximize C = 5X + 6Y

2X+Y= 120

2X+ 3Y = 240

and x = 0, y = 0

Plot the lines on graph,

2X+Y= 120

2X+ 3Y = 240

x = 0, y = 0

So, boundary points of feasible region are (0,1.7) , (2.125,0) and (0,0)

Substitute the points in  Maximize C

At  (0,1.7)

Maximize C = 5X + 6Y

C = 5(0) + 6(1.7)

C = 0 + 10.2

Maximize C = 10.2

At  (2.125,0)

Maximize C = 5(2.125) + 6(0)

Maximize C = 10.625

At   (0,0)

Maximize C = 5(0) + 6(0)

Maximize C = 0

So, Maximum value is attained at   (2.125,0)

So, the optimal value of x is 2.125

The optimal value of y is 0

The maximum value of the objective function is 10.625

There are several ways to calculate optimal solution; one of them, is by using graphs.

The optimal value of x is 2.125

The optimal value of y is: 0

The maximum value of the objective function is: 10.625

Therefore,

(A) The optimal solution to this problem = 2.125

(B) If a technical breakthrough occurred that raised the profit per unit of X to $8, would this affect the optimal solution is, = 10.625

(C) Instead of an increase in the profit coefficient X to $ 8, suppose that profit was overestimated and should only have been $ 3 is, = 10.625

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Answer:

Step-by-step explanation:it is 38

Answer:

No solution.

Step-by-step explanation:

2y-8=6x

y=3x+2

-----------

2(3x+2)-8=6x

6x+4-8=6x

6x-4=6x

6x-6x=4

0=4

The rectangle's area is 54 square centimeters, and its diameter is 30 centimeters. The rectangle's length is 9 centimeters.

An example of a quadrilateral is a rectangle, which has four vertices that are all 90 degrees apart and parallel sides that are equal to one another. As a result, it is sometimes referred to as an equiangular quadrilateral. The rectangle is a 2D shape with 4 sides, 4 corners, and 4 right angles. The length of each pair of the diagonal sides of a rectangle is equal, with one pair being longer than the other. If all the sides of a rectangle were the same size, the shape would be referred to as a square.

given

Area of a rectangle is defined as length times width, 

When we now swap l=9 and A=54, 

P=2l+2b,

 P=2(9)+2(6)=18+12=30cm, is the formula for the rectangle's perimeter.

The rectangle's area is 54 square centimeters, and its diameter is 30 centimeters. The rectangle's length is 9 centimeters.

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2D is "flat", using the horizontal and vertical (X and Y) dimensions, the image has only two dimensions and if turned to the side becomes a line. 3D adds the depth (Z) dimension. This third dimension allows for rotation and visualization from multiple perspectives.

2D transforms happen only on 2 or sometimes even 1 axis. For example if you are in a top orthographic view and rotate an object clockwise, you are usually only changing its rotation value in one axis (z axis in Blender, y in some other software).

In a perspective view, if you are able to use a gizmo to manipulate multiple axis you may be changing the rotation value on all three axes, this would be a 3D transformation.

You can shift an object on any of the three axis easily by grabbing the arrow and sliding the object, or you can move it to an entirely new set of coordinates, that's a 3D transformation.

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Answer:

1. No

2. No

3. Yes

4. No

Step-by-step explanation:

1. Because -6 is not higher than 13

2. 7 is not higher than 13

3. 14 is higher than 13

4. -21 is not higher than 13 it is a negative number

Answer: 5x

Step-by-step explanation:

If -3x is a negative and 8x is a positive, its the same as subtracting 3x from 8x, which equals 5x.

Answer:

[tex]5x[/tex]

Step-by-step explanation:

Using the distributive property which states that [tex]A(B+C) = AB + AC[/tex], the equation [tex]-3x + 8x[/tex] can be rewritten as [tex]x(-3+8)[/tex]. From here, we can evaluate the expression inside of the parentheses: [tex]-3 + 8 = 5[/tex], and then we can plug the simplified value inside of the parentheses back into the original expression: [tex]x(5)[/tex]. This can be rewritten as [tex]5x[/tex].

This process is known as combining like terms.

Here are the above steps listed out rather than in paragraph form:

[tex]-3x + 8x[/tex]

↓ undistribute [tex]x[/tex]

[tex]x(-3 + 8)[/tex]

↓ evaluate the value inside the parentheses

[tex]-3 + 8 = 8 - 3 = 5[/tex]

↓ plug that value back into the expression

[tex]x(5)[/tex]

↓ rewrite with the constant before the variable

[tex]5x[/tex]

Answer:

Greek mathematician Heron of Alexandria was the first to determine the area of a triangle with three sides. Instead of using the triangle's side lengths, he provided a method that could compute a triangle's area without the need to measure any angles or other distances.

Let ABC be a triangle with lengths AB = c, BC = a, and CA = b for each of its three sides.

Triangle ABC's semi-perimeter is equal to s = (a + b + c)/2.

When the lengths of a triangle's three sides are known, the area of the triangle may be calculated using Heron's formula. To use this method, we must first determine the triangle's perimeter, which is the total distance around the triangle and is determined by summing the lengths of its three sides. There are two crucial phases in Heron's formula.

The semi perimeter of the triangle = 7 + 25 + 24 = 28 cm

By using Heron's formula

area = [tex]\sqrt{28(28-25)(28-24)(28-7)} = 84 \ cm \x^{2}[/tex]

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The semi perimeter of the triangle = 7 + 25 + 24 = 28 cm

By using Heron's formula

area = [tex]\sqrt{28(28-25)(26-24)(28-7)}= 84\ cm^2[/tex]

Greek mathematician Heron of Alexandria was the first to determine the area of a triangle with three sides. Instead of using the triangle's side lengths, he provided a method that could compute a triangle's area without the need to measure any angles or other distances.

Let ABC be a triangle with lengths AB = c, BC = a, and CA = b for each of its three sides.

Triangle ABC's semi-perimeter is equal to s = (a + b + c)/2.

When the lengths of a triangle's three sides are known, the area of the triangle may be calculated using Heron's formula. To use this method, we must first determine the triangle's perimeter, which is the total distance around the triangle and is determined by summing the lengths of its three sides. There are two crucial phases in Heron's formula.

Add up the lengths of the triangle's three sides and divide the sum by two to determine its semi perimeter (half perimeter).

In the primary formula known as "Heron's Formula," enter the triangle's semi-perimeter value.

The semi perimeter of the triangle = 7 + 25 + 24 = 28 cm

By using Heron's formula

area = [tex]\sqrt{28(28-25)(26-24)(28-7)}= 84\ cm^2[/tex]

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Answer:

[tex] \sf \: a = 5[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of a.

The equation is,

→ 2 + a = 7

Then the value of a will be,

→ 2 + a = 7

→ a + 2 = 7

→ a = 7 - 2

→ [ a = 5 ]

Hence, the value of a is 5.

n to the power of 6, also written as n⁶, is a mathematical operation that raises the number n to the sixth power. This means that n is multiplied by itself six times.

For example, if n = 2, then n⁶ = 2 × 2 × 2 × 2 × 2 × 2 = 64.

Exponentiation is a mathematical operation that is used to represent repeated multiplication. The number that is being multiplied is called the base, and the number that represents how many times the base is being multiplied is called the exponent. In the case of n⁶, the base is n and the exponent is 6.

In general, when raising a number to a power, the result is the product of that number multiplied by itself the number of times represented by the exponent. For example, n³ = n × n × n and n⁴ = n × n × n × n.

In addition to being a mathematical operation, exponentiation also has practical applications in fields such as computer science, engineering, and physics.

For example, in computer science, exponentiation is used to perform fast computations, such as in the process of encryption and decryption. In engineering and physics, exponentiation is used to calculate rates of growth, such as in the case of compound interest and radioactive decay.

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Answer:

590

Step-by-step explanation:

2360_

_8+12

=2360_

_4

590

The statement that best compares the theoretical and experimental probability for a spin to land on blue is A. The theoretical probability of landing on blue is one fourth, and the experimental probability is 35%.

Theoretical probability is calculated by analyzing the total number of possible outcomes of an event and the number of favorable outcomes. Experimental probability, on the other hand, is calculated by conducting an experiment and observing the results.

This means that the theoretical probability of landing on blue is:

= Number of sections of blue / Number of total sections

= 1 / 4

The experimental probability of landing of blue is :

= Number of times blue is spun / Number of spins

= 7 / 20

= 35 %

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Answer: A 35%

Step-by-step explanation:

It is possible to construct a triangle whose sides are 10.2 cm 5.8 cm and 4.5 cm because the sum of two sides are smaller than third sides.

In the given question, we have to check that it is possible to construct a triangle whose sides are 10.2 cm 5.8 cm and 4.5 cm.

The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.

To check this we firstly add the 10.2 and 5.8

10.2 + 5.8 > 4.5

16 > 4.5

Now we add 10.2 and 4.5

10.2 + 4.5 > 5.8

14.7 > 5.8

Now we add 5.8 and 4.5

5.8 + 4.5 > 10.2

10.3 > 10.2

It is possible to construct a triangle whose sides are 10.2 cm 5.8 cm and 4.5 cm because the sum of two sides are smaller than third sides.

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We must factor the provided polynomial equation in order to obtain a linear and quadratic equation before we can discover the roots of the three-degree polynomial.

Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.

We must factorize the provided polynomial equation in order to obtain a linear and quadratic equation before we can discover the roots of the three-degree polynomial. The zeros of the three-degree polynomial are then easily ascertainable.

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Answer:

8 in each bag 32 total hoped this helped :)

Step-by-step explanation:

The expressions that could represent the amount Bo would pay for the game: 0.82B and  B - 0.18B

The correct options are: option (a) and option (e)

Given that the board game costs B dollars.

And the price is reduced by 18%.  

So, the discount percentage is 18%

i.e., the price is reduced by 0.18

To find out discount amount on  the board game, we multiply cost of the board game by discount percentage.

So, we get an expression for the discount amount = 0.18B

Now we calculate total price of the board game.

Subtract the discount amount from original price B

So, we get an expression for the total price of the board game.

B - 0.18B

As the  discount percentage is 18%, then the original percentage of pay is about 100 - 18 = 82%

i.e., total price of the board game would be 0.82B

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The complete question is:

Bo is buying a board game that usually costs BBB dollars. The game is on sale, and the price has been reduced by 18\%18%18, percent.Which of the following expressions could represent how much Bo pays for the game?

a) 0.82B

b) 1.18 B

c) B - 0.18

d) B - 18

e)  B - 0.18B

Very weak - or no association. -0.2 to – 0.4. Weak - association. -0.4 to -0.6. Moderate - association.

What Is a Correlation Coefficient?

A variable's movement in relation to another is described by the correlation coefficient. A score of 1 indicates a perfect positive correlation, with a positive correlation being one where both variables move in the same direction.

             While 0 indicates there is no linear correlation, a number of -1 indicates a complete negative correlation.

What statistical purposes does the correlation coefficient serve?

In conclusion, correlation coefficients are used to evaluate the strength and direction of linear correlations between two sets of variables. When both variables have a normal distribution, use Pearson's correlation coefficient; otherwise, use Spearman's correlation coefficient.

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Answer:

-6 7 2.62 20 54

Step-by-step explanation: