The measure of ZJLM is 141°. The measure of ZJKL is 73⁰.
What is the measure of ZKJL?
Enter your answer in the box.
m/KJL=
K
L
M

Answer:12.64

Step-by-step explanation: Using the pythagorean therum, we can see that each side of ABCD is part of a triangle whose other legs are 4 and 1. This means that each side of ABCD squared is equal to 3 squared + 1 squared which means that each side squared is 10. So each side is equal to the square root of 10 which means each side is around 3.16. So the perimenter is around 3.16x4 = 12.64

On solving the provided question, we can say that this function f(x) = 2x - 4 => f(x) = 18 - 4 = 14

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

f(x) = 2x - 4

here, in this function f(x)

x = 9

so, f(9) = 2*9 - 4

f(x) = 18 - 4 = 14

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The possible values of x are;  8 > x

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

The given diagram is a triangle. From the diagram we can see that;

2x + 8 > 3x (according to the length)

Solve the resulting inequality;

2x + 8 > 3x

8 > 3x - 2x

8 > x

x> 0.5

Hence the possible values of x are  8 > x

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Answer:

9.323 units

Step-by-step explanation:

radius = 29.76

https://www,omnicalculator,com/math/height-of-cone

Answer: 15

Step-by-step explanation:

Quotient- the result of the division equation.

45/3=15

Answer:

827080

Step-by-step explanation:

caculator

Answer:

Answer in image

Step-by-step explanation:

Follow steps in image

-Hope this helped

Answer:

9r-7

Step-by-step explanation:

Given expression,

[tex]\dfrac{1}{3}( 12r +6r -21)[/tex]

Distribute ,

[tex] \dfrac{1}{3}(12r) +\dfrac{1}{3}(6r)+\dfrac{1}{3}(-21)\\[/tex]

simplify,

[tex]7r + 2r -7 [/tex]

Add like terms,

[tex] 9r -7 [/tex]

And we are done!

- Rishabh

Answer: An expression for 1/3 (12r + 6r - 21) would be :

(1/3) * (12r + 6r - 21)

It is the product of 1/3 and the sum of 12r, 6r and -21

or

(4r - 7)

It is the same as above but simplified by combining like terms 12r + 6r = 18r and then dividing by 3.

Step-by-step explanation:

If Rodrigo randomly selects one of his CDs, then the probability that it will be a pop CD is 1/18.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Rodrigo is organizing his CD collection.

The number of pop CDs are 5

The number of other CDs are 85.

If Rodrigo randomly selects one of his CDs we have to find the probability that it will be a pop CD

The total number of cd are 90.

The the probability that it will be a pop CD is 5/90 which is 1/18.

Hence, If Rodrigo randomly selects one of his CDs, then the probability that it will be a pop CD is 1/18.

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The population of the town at 2017 will be 5598 people.

The population of the town declines by 4% each year, meaning that the population decreases by 0.04 times the current population each year.

In order to find the population in 2017, we need to calculate the population for each year from 2007 to 2017 and multiply by (1-0.04)

The population for 2017 is:

10000*(1-0.04)^10 = 5597.6, which can be approximated to be either 5597 or 5598.

It is important to note that this calculation is based on the assumption that the population decline of 4% per year is a constant rate, if this rate changes it will affect the final population.

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The equation that describes the hanger is y = x + 1.b-This line will represent the equation y = x + 1.c. The equation for the first hanger is y = x + 1.

Equation is a mathematical statement that expresses the equality of two expressions by using symbols. It typically consists of an equals sign (=) and two expressions that are related by the equals sign. Equations are used to describe the relationship between different variables, such as the area of a circle or the speed of a moving object. Equations are also used to solve problems, to make predictions, or to reveal patterns or trends.

a. The equation that describes the hanger is y = x + 1. This equation states that the y-coordinate (height of the hanger) is always 1 unit greater than the x-coordinate (width of the hanger).

b. To find x, I will draw more hangers to represent each step of the process. For the first hanger, I will draw a line with a y-intercept of 1 and a slope of 1. This line will represent the equation y = x + 1.

For the second hanger, I will draw a line with a y-intercept of 1 and a slope of 2. This line will represent the equation y = 2x + 1.

For the third hanger, I will draw a line with a y-intercept of 1 and a slope of 3. This line will represent the equation y = 3x + 1.

The reason I chose to draw each hanger with a y-intercept of 1 is to represent the constant value of 1 in each equation. The slope of each hanger is increased by 1 from the previous hanger to represent the coefficient of x in each equation.

c. The equation for the first hanger is y = x + 1. This equation matches the hanger because the y-intercept is 1 and the slope is 1.

The equation for the second hanger is y = 2x + 1. This equation matches the hanger because the y-intercept is 1 and the slope is 2.

The equation for the third hanger is y = 3x + 1. This equation matches the hanger because the y-intercept is 1 and the slope is 3.

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f a₁/a₂ = b₁/b₂ = c₁/c₂ this system of linear equations have zero solutions.

Multiple equations in algebra are known as simultaneous equations or systems of equations, and they must be solved simultaneously (i.e., the answer must satisfy every equation in the system). For a system to have a singular solution, the number of equations and unknowns must be equal.

Systems of equations are used to solve problems when there are multiple unknowns and enough data to construct equations in those unknowns. In general, when there are n unknowns, we need enough knowledge to create an equation for each unknown.

We are aware that the equations,

a₁x + b₁y = c₁

a₂x + b₂y = c₂

if the equation a1/a2 = b1/b2 = c1/c2 is unsolvable.

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The quadratic equation -3x^2 + 17x - 20 can be factorized to get:

y = -3*(x - 4)*(x - 5/3)

Here we want to factorize the quadratic equation:

-3x^2 + 17x - 20

If the two roots are x = h and x = k, then we can rewrite that quadratic as:

-3*(x - h)*(x - k)

So we need to find the two roots for the quadratic equation, using the quadratic formula we will get:

[tex]x = \frac{-17 \pm \sqrt{17^2 - 4*(-3)*(-20)} }{2*-3} \\\\x = \frac{-17 \pm 7 }{-6} \\\\[/tex]

Then the two roots are:

x = (-17 - 7)/-6 = -24/-6 = 4

x = (-17 + 7)/-6 = -10/-6 = 5/3

Then the quadratic equation can be written as:

y = -3*(x - 4)*(x - 5/3)

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Answer:

−(3x−5)(x−4)

Step-by-step explanation:

Correct on Khan

The total number of numbers among the second one thousand natural numbers that are not multiples of any of the first three odd prime number is 1 + 1 + 1 - 1 - 1 + 1 = 2.

A natural number is not a multiple of the first three odd prime numbers (3, 5, 7) if and only if it is not divisible by any of them. There are 1000-999=1 number among the second one thousand natural numbers that is not divisible by 3. There are 1000-999=1 number among the second one thousand natural numbers that is not divisible by 5. There are 1000-999=1 number among the second one thousand natural numbers that is not divisible by 7. However, if a number is divisible by 3 and 5, it is also divisible by 15 and we have counted it twice. Similarly, if a number is divisible by 3 and 7, or 5 and 7, or all three, we have counted it thrice, twice and thrice respectively. Hence, the total number of numbers among the second one thousand natural numbers that are not multiples of any of the first three odd prime number is 1 + 1 + 1 - 1 - 1 + 1 = 2.

Therefore, The total number of numbers among the second one thousand natural numbers that are not multiples of any of the first three odd prime number is 1 + 1 + 1 - 1 - 1 + 1 = 2.

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The total number of numbers among the second one thousand natural numbers that are not multiples of any of the first three odd prime number is 1 + 1 + 1 - 1 - 1 + 1 = 2.

A natural number is not a multiple of the first three odd prime numbers (3, 5, 7) if and only if it is not divisible by any of them. There are 1000-999=1 number among the second one thousand natural numbers that is not divisible by 3. There are 1000-999=1 number among the second one thousand natural numbers that is not divisible by 5. There are 1000-999=1 number among the second one thousand natural numbers that is not divisible by 7. However, if a number is divisible by 3 and 5, it is also divisible by 15 and we have counted it twice. Similarly, if a number is divisible by 3 and 7, or 5 and 7, or all three, we have counted it thrice, twice and thrice respectively. Hence, the total number of numbers among the second one thousand natural numbers that are not multiples of any of the first three odd prime number is 1 + 1 + 1 - 1 - 1 + 1 = 2.

Therefore, The total number of numbers among the second one thousand natural numbers that are not multiples of any of the first three odd prime number is 1 + 1 + 1 - 1 - 1 + 1 = 2.

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Answer:

  25.1 square inches

Step-by-step explanation:

You want the area of a 1/8 slice of a 16-inch pizza.

The area of a circle is given by the formula ...

  A = πr²

where r represents the radius of the circle, half the diameter.

For the 16-inch diameter pizza, the radius is 8 inches, so the area of the whole pizza is ...

  A = π(8 in)² = 64π in²

The area of a slice will be 1/8 of this:

  slice area = 1/8(64π in²) = 8π in² ≈ 25.133 in²

The area of a slice of the pizza is about 25.1 square inches.

By calculating , with the subject of x  we get x = 4 + 5y / y + 3  as a final resultant .

What is subject of a formula?

Making x the subject of a formula means rearranging the formula so that we have a single x variable equal to the rest of it.

Making x subject of the formula is as follows:

x = 4 + 5y / y + 3

y = 4 - 3x ÷ x - 5

cross multiply

y(x - 5) = 4 - 3x

distribute the values on the left side

yx - 5y = 4 - 3x

add 3x to both sides of the equation

yx + 3x - 5y = 4 - 3x + 3x

yx + 3x - 5y = 4

add 5y to both sides

yx + 3x - 5y + 5y = 4 + 5y

yx + 3x  = 4 + 5y

factorise the left hand side

x(y + 3) = 4 + 5y

divide both sides by (y + 3)

Therefore,

x = 4 + 5y / y + 3

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The Pedro contains 1483 hits. and Ricky contains 1199 hits.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.

When two expressions in a variable (or variables) have the same value, the condition is said to be an equation. The equation's solution, or root, is the value of the variable for which the equation holds true. Even if the RHS and LHS are switched, an equation still holds true.

Equations can be classified as either conditional equations or identities. Any value of the variables results in an identity being true. Only certain values of the variables in a conditional equation result in truth. When two expressions are joined together by the equals sign ("="), the result is an equation.

Pedro had 284 more hits than Ricky.

Let Ricky had 'x' hits.

So, Pedro had x + 284 hits

Together Pedro and Ricky got 2682 base hits.

This can be modeled as:

[tex]$$\begin{aligned}& x+x+284=2682 \\& 2 x+284=2682 \\& 2 x=2682-284=2398 \\& \text { So, } x=2398 / 2=1199\end{aligned}$$[/tex]

Therefore, Ricky contains 1199 hits.

Pedro has = 1199 + 284 = 1483 hits.

Therefore, the Pedro contains 1483 hits.

The complete question is;

Together, teammates Pedro and Ricky got 2682 base hits last season. Pedro had 284 more hits than Ricky. How many hits did each player​ have?

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Answer:

1+6x

Step-by-step explanation:

Sum means addition and product means multiply

The only expression that has both is

1+ 6*x

1+6x

Answer:

2nd answer

Step-by-step explanation:

Before finding answer let us get to know about the meanings of words.

sum --> Addition

product --> Multiplication

Accordingly, we have to find the answer with addition & multiplication.

So, the only answer with these two characteristics is 2nd answer.

That is,

1 + 6x

Here, there is a sum between 1 and 6.

And there is a product between 6 and x.

Answer:67.5 degree

Step-by-step explanation:

So, the angle between hour hand and minute hand at 5:15. = 45/4 minute * 6 degree. = 67.5 degree.

Commission (Related to business mathematics) made by selling $7200 worth of stock is $288.

What is business mathematics ?

Business Math always deals with profit or loss. The cost of a product is fixed by taking into consideration it’s profit, margin, cash discount, trade discount, etc. Business mathematics is used by commercial companies to record and manage business works. Commercial businesses use math in departments of accounting, inventory management, marketing, sales forecasting and financial analysis.

The most important topics covered in Business Mathematics are:

Now,

Sales made= $7200

Commission=4%

Commission earned= 7200*4/100

                                  =72*4

Commission earned = $288

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Answer:

small tier serves 20;  large tier serve 42

Step-by-step explanation:

s = # guests a small tier serves

l = # guests a large tier serves

1)  3s + 2l = 144

2) 3s +  1 = 102   subtract equation (2) from equation (1)

     0 +  l =   42

l = 42     plug this into equation (2) to solve for s

3s + 42 = 102

3s = 60

s = 20  

The number of people served by the small tier is 20.

The number of people served by the large tier is 42.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

Small tier = S

Large tier = L

The first cake consists of 3 small tiers and 2 large tiers, which will serve a total of 144 guests.

This means,

3S + 2L = 144 ____(1)

The second one includes 3 small tiers and 1 large tier, which is enough servings for 102 guests.

This means,

3S + 1L = 102 _____(2)

Solve (1) and (2)

Using the elimination method.

  3S + 2L = 144

  3S + L = 102

(-)     (-)      (-)

       L = 144 - 102

       L = 42

Now,

L = 42 in (1)

3S + 2L = 144

3S + 2 x 42 = 144

3S + 84 = 144

3S = 144 - 84

3S = 60

S = 20

Thus,

The small tier serves 20 people.

The large tier serves 42 people.

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The solution of the equation is 5/3.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that,

The equation is,

⇒ 6x + 11 = 21

Now, Solving for x as;

6x + 11 = 21

6x = 10

x = 5/3

Hence, The value of x is 5/3.

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After taking the common, the factored form of [tex]27x^3+64[/tex] is [tex](3x+4)(9x^2-12x+16)[/tex].

In the given question, we have to find the factored form of [tex]27x^3+64[/tex].

The following is how we factor the GCF out of a polynomial:

(1) Find the expression's numbers' greatest common factor before analyzing each variable or expression separately to identify the GCF. Factor out the least power that arises if the variable or expression appears in every term.

(2) Write the GCF outside the parentheses and divide each term by the GCF inside the parentheses to factor out a GCF.

To solve this question we use the formula [tex](a^3+b^3) = (a+b)(a^2-ab+b^2)[/tex]

We can write [tex]27x^3+64[/tex] as

[tex]27x^3+64[/tex] = [tex](3x)^3-(4)^3[/tex]

[tex]27x^3+64[/tex] = [tex](3x+4)((3x)^2-3x\cdot4+(4)^2)[/tex]

[tex]27x^3+64[/tex] = [tex](3x+4)(9x^2-12x+16)[/tex]

Hence, the factor form of [tex]27x^3+64[/tex] is [tex](3x+4)(9x^2-12x+16)[/tex].

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The complete question is:

What is the factored form of [tex]27x^3-64[/tex]?

Answer:

C

Step-by-step explanation:

The answer is C. The total amount spent on car insurance didn't increase by a constant amount each month.

A linear relationship means that the relationship between two variables can be described by a straight line, with the rate of change being constant. In this case, the relationship between the number of months since Adele got her car and the total amount of money she had spent on car insurance is not linear. If the relationship was linear, we would expect the rate of increase to be constant, but in this case, the rate of increase is not constant. The car insurance cost 183 in the first month, 732 in 4 months, and 2196 in a year. That means 183 in 1 month, 549 in 4 months, and 1464 in a year. As we see, the rate of increase is not constant.

22 caps were collected by Ted and 18 caps were collected by Truman.

Two or more expressions with an Equal sign is called as Equation.

Given that  Ted collected three caps in April'

For Ted,  In April the number of caps collected = 3

In May the number of caps collected = 4

In June the number of caps collected = 0

In July the number of caps collected = 8

In August the number of caps collected = 3

In September the number of caps collected = 4

The total number of caps collected by Ted=3+4+8+3+4

=22 caps.

For Truman, In April the number of caps collected = 1

In May the number of caps collected = 7

In June the number of caps collected = 3

In July the number of caps collected = 0

In August the number of caps collected = 4

In September the number of caps collected = 3

The total number of caps collected by Truman = 1+7+3+4+3

=18

Hence, 22 caps were collected by Ted and 18 caps were collected by Truman.

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The right rectangular prism's volume is equal to 123.48 cubic inches.

In the presented problem, a right rectangular prism is filled with cubes that are 0.7 inch in side length.

If a rectangular prism has 60 cubes along its length, 3 cubes along its width, and 2 cubes along its height, we must determine the volume of the prism.

The rectangular prism's length would be,

l = 60 × 0.7

L=42 inches.

The rectangular prism's width would be,

w = 3 × 0.7

w = 2.1 in.

The rectangular prism's height would be,

h = 2 × 0.7

h=1.4 of an inch

Consequently, the rectangular prism's volume would be,

V = l × w × h

V = 42 × 2.1 × 1.4

123.48 cubic inches equals V.

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Note: The correct question would be as follow,

A rectangular prism is packed with cubes that have a side length of 0. 7 inches if a total of 60 cubes is used 3 cubes along the width, and 2 cubes along the height, what is the volume of the prism?

the domain is the x intercept

{1,2,3,5,7}

Since function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, the statement that could be true for g is: A. g(-13) = 20.

Based on the information provided in this scenario, the domain and range of this function g(x) in interval notation are as follows:

Domain = -20 ≤ x ≤ 5 or [-20, 5]

Range = -5 ≤ g(x) ≤ 45 or [-5, 45]

Function g(0) = 2 is simply a false statement because it was explicitly stated that g(0) = -2. Additionally, g(-4) = -11 is a false statement because it is outside the scope of the given range for this function.

Furthermore, the function g(7) = -1 is a false statement because it is not within the domain for the given function. However, we can logically deduce that the function g(-13) = 20 is a true statement because it is within the domain for the given function and it would produce an output that is within the scope of the given range for this function.

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Find the values at which the rational function is undefined before you can graph it.Any values that would result in a denominator of zero for a function are undefined.

f(x) Equals x in Example 1. (x - 3).

The graph of the function.

From the given graph , the vertical asymptote is at x=2

Lets find out the vertical asymptote of each function

To find out vertical asymptote we set the denominator =0

f(x) = 1/2x

2x = 0

x= 0

The second function has vertical asymptote at x=2

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