Y=2/3x+8
Y=1/2x+10
What is x?

Answer:

8

Step-by-step explanation:

To evaluate the expression for j = -2, we simply substitute -2 for j and simplify:

10l(-2)l - 12 = 10 * |-2| - 12 (Note that the absolute value of -2 is 2)

= 10 * 2 - 12

= 20 - 12

= 8

Therefore, the value of the expression 10lj| − 12 when j = -2 is 8.

sinθ = -0.9798 (rounded to two decimal places).

What is the Trigonometry ?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and the trigonometric functions that describe those relationships.

We can use the identity sin²θ + cos²θ = 1 to find sinθ, since we know cosθ:

sin²θ + cos²θ = 1

sin²θ + 0.2² = 1 (substituting cosθ = 0.2)

sin²θ = 0.96

Taking the square root of both sides, we get:

sinθ = ± 0.9798

Since θ is in the second quadrant, sinθ is negative.

Hence, sinθ = -0.9798 (rounded to two decimal places).

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The length of EF= 15 cm.

As, the question states that the triangles are similar; their ratios are also equal.

AC/DF = AB/DE - CB/EF

Plug in the values

12/10 = AB/DE = 18/EF

If we isolate EF,

EF = 180/12

EF= 15cm

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A quadratic equation can be solved by factoring if its coefficients are rational numbers and its discriminant, which is the expression under the square root in the quadratic formula, is a perfect square.

To determine if a quadratic equation can be solved by factoring, you must first ensure that its coefficients are rational numbers, meaning that they can be expressed as a ratio of two integers. Once you have confirmed this, you can calculate the discriminant of the quadratic equation, which is the expression b²-4ac, where a, b, and c are the coefficients of the quadratic equation in standard form.

If the discriminant is a perfect square, then the quadratic equation can be solved by factoring. If the discriminant is not a perfect square, then the quadratic equation cannot be solved by factoring using rational numbers, but may still be solvable using other methods, such as completing the square or the quadratic formula.

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Answer: Percent of the jerseys that did not sell is 27% (approx).

Step-by-step explanation: No. of jerseys sold = 225

No. of jerseys not sold =165

Thus, the percentage of jerseys sold = 165/225 *100 = 73.33333%

percentage of jerseys not sold = 100-73.33 = 26.67% =27%

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14 kilometers is approximately equal to 8.699 miles

The conversion factor from kilometers to miles is 0.621371.

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

So, to convert kilometers to miles you can multiply the number of kilometers by 0.621371.

The distance in kilometer = 14 kilometers

The distance in miles = conversion factor × The distance in kilometer

Substitute the values in the equation

The distance in miles = 14 × 0.621371

Multiply the numbers

=  8.699 miles (to three decimal places).

Therefore, the 14 km is 8.699 miles

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The length of the line segment AB is 38.6 m. The solution has been obtained by using trigonometry.

What is trigonometry?

The study of the sides, angles, and connections of the right-angle triangle falls under the umbrella of the branch of mathematics known as trigonometry.

We are given a right angled triangle, with angle ACB = 90° and angle CAB = 75°.

We know that cos theta = adjacent side/hypotenuse

So,

⇒cos θ = 10/x

Here, θ = 75°

So,

⇒cos 75° = 10/x

⇒x = 10/cos 75°

⇒x = 38.6

Hence, the length of the line segment AB is 38.6 m.

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Answer:

[tex]\frac{9(7-\sqrt{2}) }{47}[/tex]

Step-by-step explanation:

The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:

-6x + 15 < 10 – 5x, which can be simplified to x < 5

and

-6x – 5 < 10 – x, which can be simplified to -5x < 15, and then x > -3

Therefore, the correct options are:

x < 5

A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

LCM is the smallest number that is completely by the given numbers. It can be calculated using different techniques. LCM of 6 and 8 is found to be 24.

LCM of 6 and 8 means the smallest number that can be divisible by both 6 an 8. LCM can be calculated by three methods.

        Multiples of 6  are 6, 12, 18, 24, 30, 36.....

         Multiples of 8  are 8, 16, 24, 32.....

      The smallest common multiple or LCM is 24

        6 - 2×3

        8 - 2×2×2

LCM = 2×3×2×2 = 24

           2    |  6, 8                                                                                                                      

          2     |  3, 4

                    3, 2

LCM = 2×2×3×2 = 24

So the LCM of 6 and 8 is found to be 24 by all methods.

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86 inches are equivalent to 7.17 feet

To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):

86 inches ÷ 12 inches/foot = 7.17 feet

The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).

Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.

Inches and feet are often used to measure an object's height, breadth, and length in the United States.

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A relative frequency distribution for quantitative data identifies the proportion of observations that occur in each bin.

Relative frequency distribution is a type of frequency distribution that shows the proportion or percentage of observations that fall into each bin or class interval. It is calculated by dividing the frequency of each bin by the total number of observations. This allows us to compare the relative frequencies of different bins, and see how the data is distributed across the range of values.

For example, if we have 100 observations and 20 of them fall into the first bin, the relative frequency of the first bin would be 20/100 = 0.2 or 20%. This means that 20% of the observations fall into the first bin.

In summary, a relative frequency distribution for quantitative data identifies the proportion of observations that occur in each bin, allowing us to compare the relative frequencies of different bins and see how the data is distributed across the range of values.

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Jose invests money in an account paying a simple interest of 9% per year, he should multiply his current balance by 9% to find his total balance.

Simple Interest is a simple way for computing interest on a loan or principle amount. The notion of simple interest is used in many sectors, including banking, finance, and vehicles. The monthly interest is deducted first, followed by the principal amount, when you make a loan payment.

We have rate of interest as 9%

So, SI = PNR/100

SI = P x 1 x 9/100

SI = P x 9%.

Therefore, current balance should be multiplied by 9% .

Simple Interest (S.I.) is a way of determining the amount of interest for a given principle amount. You put that money to use for the reason you borrowed it in the first place. The money is then returned after you receive your following month's pocket money from your parents. This is how borrowing and lending operate in the real world.

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Answer:

1,188

Step-by-step explanation:

15x360=5,400

5,400-22%=4212

5,400-4,212=1,188

The correlation coefficient -0.32 which is negative and close to zero, we conclude that there is an inverse and weak correlation between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation

The correlation coefficient is a statistical measure of the strength of a linear relationship between two variables. Its values can range from -1 to 1.

Now, since the correlation coefficient between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation is -0.32.

Since the correlation coefficient is negative and close to zero, we conclude that there is an inverse and weak correlation between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation

So, there is an inverse and weak correlation between them.

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In C programming, an integer array is a collection of integer values identified by a unique index within the array.

In C programming language, a whole number exhibit is an information structure that holds a grouping of number qualities. A cluster is an assortment of components of similar information type, where every component is recognized by a one of a kind record or position inside the exhibit. Number exhibits in C are proclaimed utilizing a particular language structure, which incorporates the information type and the size of the exhibit. For instance, to pronounce a number cluster with ten components, you can utilize the accompanying linguistic structure:

int myArray[10];

Once announced, you can get to individual components of the cluster utilizing their record, what begins from 0. For instance, to dole out a worth of 5 to the main component of the exhibit, you can utilize the accompanying sentence structure:

myArray[0] = 5;

In general, whole number exhibits are a helpful device in C programming for putting away and controlling assortments of number qualities.

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The equation of line passes through the points (0, -3) and (4, -1) will be;

⇒ y = 1/2x - 3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, -3) and (4, -1)

Now,

Since, The equation of line passes through the points (0, -3) and (4, -1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - (-3)) / (4 - 0)

m = 2 / 4

m = 1/2

Thus, The equation of line with slope 1/2 is,

⇒ y - (-3) = 1/2 (x - 0)

⇒ y + 3 = 1/2x

⇒ y = 1/2x - 3

Therefore, The equation of line passes through the points ((0, -3) and

(4, -1) will be;

⇒ y = 1/2x - 3

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Answer:

Yes, by AA

Step-by-step explanation:

A triangle adds up to 180 degrees.

This means:

angle E = 180-53-60

angle E= 67 degrees

Angle E=Angle H

Angle C= Angle F

2 angles equaling to each other when comparing triangles means they are similar by AA.

Answer:

C. Yes by AA

Step-by-step explanation:

The triangles have the smae anlges, one is just smaller, but they are the same size.

Sorry I don't know good luck

Answer:

If r = 2 units and h = 13 units, what is the surface area of the cylinder shown above?

Step-by-step explanation:

You're welcome.

Answer:

18.00 cm

Step-by-step explanation:

This composite heart shape consists of two semi-circles and a rectangle.

[tex]r_{ssc}[/tex] = radius of small semi-circle

     = [tex]\frac{3 cm}{2}[/tex] = 1.5 cm

[tex]r_{bsc}[/tex] = radius of big semi-circle

     = [tex]\frac{4 cm}{2}[/tex] = 2 cm

Perimeter of this composite shape

= Perimeter of big semi-circle + Perimeter of small semi-circle + 2 outer sides of the rectangle

= [tex](\frac{2}{2} \pi r_{bsc} + \frac{2}{2} \pi r_{ssc} + 3 + 4)[/tex] cm

= [tex](\pi r_{bsc} + \pi r_{ssc} + 3 + 4)[/tex] cm

= [tex][\pi (2) + \pi (1.5) + 3 + 4][/tex] cm

= [tex](2\pi + 1.5\pi + 7)[/tex] cm

= [tex](3.5\pi + 7)[/tex] cm

= 17.995 cm

= 18.00 cm (Rounded to two decimal places)

Linda can choose any combination of three events that adds up to more than a kilometer but less than 1.5 kilometers

In order to find the best combination of events for Linda to sign up for to run a total of more than a kilometer but less than 1.5 kilometers, we must first determine the total distances of the individual events.

Depending on the events offered, Linda can choose three events that add up to more than a kilometer but less than 1.5 kilometers.

If Linda has the option of running the 100m, 200m, and 800m, she can satisfy her requirement of running more than a kilometer but less than 1.5 kilometers by choosing the 100m, 200m, and 800m.

This would add up to 1100m, which is slightly over a kilometer but below 1.5 kilometers.

Another option for Linda is to run the 100m, 400m, and 600m, which would add up to 1100m, once again satisfying her requirement.

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Answer:

The perimeter of the new space used for the playground is 108 feet.

The perimeter of the space used for the new playground is 150 feet.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

The current space is rectangular and has a length of 24 feet and a width of 26 feet.

and, the new space is 36 feet long.

let the width of new space is x.

Since, the two space are similar then the scale factor will be

= 36/24 = 1.5

So, the width of new space = 1.5 x 26 = 39 feet

Thus, the Perimeter of new space

= 2(l +w)

= 2 (36+ 39)

= 150 feet

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Answer: 1st 133

Step-by-step explanation: Hope this helps!

Clara’s wrapping paperweight friend is a conical shape with a slanted base.

Weight is a measure of the gravitational force that is object experience due to its mass weight is typically majority Newton's and all the formula of poet is mass it is an important factor in many activities such a sports exercise and even everyday task the amount of weight and absent carries affected it balance stability and momentum with is an important factor to consider when using mechanics.

It has a 3.14 π measurement and an area of 50.24 square centimeters. It weighs 125.6 grams. The conical shape of the paperweight gives it a unique look and allows it to stand easily on a flat surface. The slant base gives it a stylish look, as well as helping it to remain stable when placed on a flat surface. The paperweight is made from a durable material, making it perfect for use as a gift. The paperweight’s 3.14 π measurement and the 50.24 square centimeters area give it a unique and eye-catching look, making it a great gift for a friend. The paperweight is also lightweight at 125.6 grams, making it easy to transport and store. This makes it a great choice for wrapping and sending to a friend as a gift.

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Answer: Waffles: Total Number of Students is 21:56. Simplified it would be 3:8.

Step-by-step explanation:

First, you take the total number of students, which in this case is 56, and subtract it from the number of students who want the pancakes. The difference is 21. That is the number of students who want waffles.

The ratio is 21:56. It must be in that order. It is not the Total number of students: waffles, it is waffles: total number of students.

If it must be simplified, find the greatest common factor. In this problem, it is 7. So the simplified version is 3:8.

3x + 8 = 3x + x, which has one solution at x = 8 for the equation..

In arithmetic, a solution to the equation expresses can be substituted for the variable to provide a piece of real number information.

The equation is given as 3x+8=3x+ ____.

If 3x + 8 = 3x + 9 has no solution for the equation.

If 3x + 8 = 3x + 8 has infinite solutions for the equation.

If 3x + 8 = 3x + x is equal to 3x + 8 = 4x, which has one solution at x=8 for the equation.

Therefore, 3x + 8 = 3x + x, which has one solution at x = 8 for the equation.

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The question seems incomplete, the complete question would be as:

3x+8=3x+ ____

What value could you write in after 3x that would make the equation true for:

Group of answer choices

no values of x

[ Choose ]

all values of x

[ Choose ]

just one value of x

[ Choose ]

Answer: 49 napkins

Step-by-step explanation:

7 every 5

35/5=7

7*7

49

Answer: 25 napkin

Based on the given conditions, formulate: 35 x 5 divided by 7

35 x 5= 175/7= 25

We know that a statistical technique that allows a researcher to cluster such traits as being talkative, social, and adventurous with extroversion is known as the Factor analysis.

Factor analysis is most likely a statistical procedure that identifies clusters of related items also known as factors which are on a test; used to identify different dimensions of performance that underlie one's total score.

We can say that factor analysis is more like a technique which is used in mathematics for reducing a larger number into a smaller number.

In other words, its a method for reducing a large variable into a smaller variable factor also this technique takes out the maximum ordinary variance from all of the variables and then puts them in the common score.

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