what function is defined by the set of ordered pairs (-2,-5),(-1,-8),(0,-9),(1,-8),(2,-5)

Answer:

x = 38.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opposite/ adjacent

tan x = 8/10

Take the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (8/10)

x = tan ^-1 (8/10)

x =38.65980825

To the nearest tenth

x = 38.7

Answer:

38.7

Step-by-step explanation:

Let's say the new crew of painters can paint the small apartment in x hours, and the experienced crew can paint the small apartment in y hours. Let the time taken by the new crew of painters to paint the small apartment be N hours, and the time taken by the experienced crew be E hours.

We are supposed to find the time it takes for both crews to paint the apartment together.

Step 1: Find the work rate of each crew.
The new crew's work rate is 1/N (apartments painted per hour).
The experienced crew's work rate is 1/E (apartments painted per hour).

Step 2: Calculate the combined work rate of both crews.
Combined work rate = New crew's work rate + Experienced crew's work rate
Combined work rate = (1/N) + (1/E)

Step 3: Find the time it takes for both crews to paint the apartment together.
Let T be the time it takes for both crews to paint the apartment together. Their combined work rate can be expressed as the reciprocal of T.

1/T = (1/N) + (1/E)

Step 4: Solve for T.
T = 1 / [(1/N) + (1/E)]

So, it takes T hours to paint the apartment when the two crews work together. Once you know the specific values of N and E, you can plug them into the equation and solve for T to find the solution.

To learn more about reciprocal : brainly.com/question/18634761

#SPJ11

30 boxes of popcorn and 20 free DVD rentals were given away.

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

let a variable represent the number of the highest-cost item (boxes of popcorn). If that is p, then the number of DVD rentals is (53-p) and the total cost is ...

 2p +(50 -p) = 80

 p = 80 -50 = 30 . . . . . . . boxes of popcorn

50-p= (50 -30) = 20 . . . DVD rentals

To learn more about the solution of an equation from the given link

https://brainly.com/question/22688504

#SPJ1

y-intercept is at 5.

from y = mx+b

m is the slope

b is the y-intercept.

The profit function for the company is Profit = (19x - 7x) - 105,000. When the company produces and sells 7500 book covers, the profit earned is $99,000. When the company produces and sells 8750 book covers, the profit earned is $152,500.

A. Profit = (19x - 7x) - 105,000

B. Profit = (19(7500) - 7(7500)) - 105,000 = $99,000

C. Profit = (19(8750) - 7(8750)) - 105,000 = $152,500

D. Profit = (19(11835) - 7(11835)) - 105,000 = $229,495

A. The profit for the company for a single book cover is the difference between the selling price and the production cost. The selling price is $19 and the production cost is $7. The difference is $12. The company's fixed cost is $105,000, so the profit function is Profit = (19x - 7x) - 105,000.

B. To find the profit earned by the company when it produces and sells 7500 book covers, substitute 7500 for x in the profit function. Profit = (19(7500) - 7(7500)) - 105,000 = $99,000.

C. To find the profit earned by the company when it produces and sells 8750 book covers, substitute 8750 for x in the profit function. Profit = (19(8750) - 7(8750)) - 105,000 = $152,500.

D. To find the profit earned by the company when it produces and sells 11,835 book covers, substitute 11,835 for x in the profit function. Profit = (19(11835) - 7(11835)) - 105,000 = $229,495.

The profit function for the company is Profit = (19x - 7x) - 105,000. When the company produces and sells 7500 book covers, the profit earned is $99,000. When the company produces and sells 8750 book covers, the profit earned is $152,500. When the company produces and sells 11,835 book covers, the profit earned is $229,495.

learn more about function here

https://brainly.com/question/12431044

#SPJ4

Answer:

27

Step-by-step explanation:

Answer: Volume is calculated by lenght x width x height ,so you would say 6 x 4 x 4. Which is   96 cubic units !!!

Step-by-step explanation:

The amount I can predict a catfish with a length of 32 inches would weigh is 28in.

Let say the fraction is = yx + b

m = \(\frac{20-4}{23-20}\)

= 6/3

=2

Note also that 4= 2 x 20 x b

Make b the subject of the formula and it will be=

B= -36

Therefore, the function will be:

Y= 2x - 36

If x = 32

Then  y = 2. 32 - 36

=28

Therefore, the amount I can predict a catfish with a length of 32 inches would weigh is 28in.

Learn more about inches from

https://brainly.com/question/25518104

#SPJ1

Answer:

8

Step-by-step explanation:

The required slope of the line passing through the points (1, 15), and (4, 21) is m = 2.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Points are ((1, 15), and (4, 21)

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

m = 21 - 15  / 4 - 1
m = 6/3
m = 2

Thus, the slope of the line passing through the points (1, 15), and (4, 21) is m = 2.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ1

The 3 types of solutions to a system of linear equations are Unique Solution, No Solution and Infinitely Many Solutions.

In the given question we have to find the 3 types of solutions to a system of linear equations.

The 3 types of solutions to a system of linear equations are:

(1) Unique Solution: There is only one solution to a linear equation including one variable. The one and only position at which LHS and RHS are similar on substitution is the unique solution of a linear equation.

(2) No Solution: The system of linear equations has no solution if the graphs of the linear equations are parallel. There is no point in this situation when no lines cross one another.

(3) Infinitely Many Solutions: There are infinite solutions to a 2 linear equation. There is a set of infinite solution points for the linear equation system when each equation's L.H.S changes to its R.H.S

To learn more about system of linear equations link is here

brainly.com/question/19549073

#SPJ4

The area of a circle with a circumference that equals the perimeter of the square is 9.62 units².

What is circle ?

the side measurements of the square is 2.75 units.

the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.

2.75 × 4 = 11

Let's use the formula for finding radius given the circumference.

\(Radius = \frac{circumference}{2\pi }\)

the circumference because our circumference is 11 units.

Radius = \(\frac{11}{2pi }\)

put π = 3.14 * 2

radius =  11 / 2 * 3.14

radius = 11/  6.28 ⇒ 1.75

the area of the circle = \(\pi r^{2}\)

area = 3.14 * (1.75)²  ⇒9.61325

Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.

9.61325 = 9. 62

Therefore, the area of the circle is 9.62 units².

Learn more about circle

brainly.com/question/3683465

#SPJ4

Answer:

75%*x-5=58.33%

Step-by-step explanation:

Answer:

5^-4

1/-625

Step-by-step explanation:

5^3 x 5^-7

They have the same base is 5, which means we just need to add the root, so 3 + (-7) = -4, so the answer is 5^-4

5^ -4

5 times 5 times 5 times 5 = -625

Because it is a negative exponent, means it is a fraction. So, the answer is

1/ -625

Answer:

3.5

Step-by-step explanation:

Look at the .5's closely if you take the 2.5 measurement info and then there is a little bit left that may be another .5 measurement.

Answer:

2x+y=8

x=3 y=2

2x+y=4

x=1.5 y=1

Step-by-step explanation:

I dont have a step by step answer but i hope this helps!

The value of the expression n² + 26n + 88 is equivalent to negative 4 and negative 22.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is n² + 26n + 88

Put that expression to get the solution

          n² + 26n + 88 = 0

 n² + 22n + 4n + 88 = 0

n(n + 22) + 4(n + 22) = 0

          (n + 4)(n + 22) = 0

The value of n is negative 4 and negative 22.

More about the factorization link is given below.

https://brainly.com/question/6810544

Data visualization is important because option (a) 90% of the information transmitted to the brain is visual.

Data visualization is important because the human brain is wired to process visual information more efficiently than text or numbers. Research shows that about 90% of the information transmitted to the brain is visual, and we can process visual information much faster than text.

Therefore, data visualization is an effective way to represent complex data in a way that is easy to understand and analyze. It allows us to identify patterns, trends, and outliers that might be difficult to detect in raw data.

Therefore, the correct option is (a) 90% of the information transmitted to the brain is visual.

Learn more about Data visualization here

brainly.com/question/30328164

#SPJ4

The given question is incomplete, the complete question is:

Data visualization is important because: a) 90% of the information transmitted to the brain is visual b) None of these are correct c) People can synthesize data better than visual representation d) Everybody likes chart and graphs

Answer:

\(\mathrm{C.\:}25\)

Step-by-step explanation:

Notice how each congruent square is divided into four equal parts. Since each square has four parts and there are four squares, there are \(16\) of these parts in total. Because each of these parts make up \(\frac{1}{4}\) of each square, all parts are equal. Therefore, you can count the total number of shaded parts to get your percentage.

The top left and bottom right both have one part shaded each for a total of \(2\) parts.

The top right and bottom left have \(0.5\) and \(1.5\) parts shaded, respectively, for a total of \(2\) parts.

Therefore, in total, there are \(2+2=4\) parts shaded out of \(16\) total parts.

Thus, the percentage of the total area that is shaded is:

\(\frac{4}{16}=\frac{1}{4}=\fbox{$25\%$}\).

The evaluation of  f(-1) given the quadratic equation f(x)=(x-2)^2 + 3 gives 12

Given the quadratic equation f(x)=(x-2)^2 + 3. To evaluate to f(-1), we will substitute x = -1 into the equation:

Since f(x)=(x-2)^2 + 3

Therefore  f(-1) = (-1 - 2)^2 + 3

                       = (-3)^2 + 3

                       = 9 + 3 = 12

Therefore, the value of c is 12. This shows the concept of functions and equations.

Learn more about  quadratic equation on:

https://brainly.com/question/15738885

#SPJ1

A parking sign is in the shape of a square. The area in square centimeters, is given by the equation: l^(2)=400 The length, l, of one side of the sign is  20 centimeters.

The equation l^2 = 400 represents the relationship between the length of one side of the square (l) and its area. To find the length of one side, we need to solve for l. In this case, we can take the square root of both sides of the equation to isolate l.

Taking the square root of 400, we get l = √400 = 20.

Therefore, the length of one side of the parking sign is 20 centimeters.

By substituting the value of l back into the equation, we can verify that it satisfies the equation: (20)^2 = 400, which is true.

Hence, the length of one side of the square parking sign is 20 centimeters.

Visit here to learn more about equation:

brainly.com/question/29174899

#SPJ11

Answer:

Step-by-step explanation:

Add 7x-2 to both sides and collect terms.

  2x +2 -6x +7x -2 > -4 -7x +7x -2

  3x > -6

  x > -2 . . . . . . . divide by 3

__

Solve these one at a time, and form the union of the answers.

  1 +7n ≤ 15 . . . .given

  7n ≤ 14 . . . . . . subtract 1

  n ≤ 2 . . . . . . . divide by 7

__

  -2n -2 ≤ -18 . . . given

  -2n ≤ -16 . . . . . add 2

  n ≥ 8 . . . . . . . . divide by -2

The solution is n ≤ -2 or n ≥ 8.

The number of people attending affects how much food is prepared for a catered event. The number of people attending is the explanatory variable in this scenario.

One kind of independent variable is an explanatory variable. Both words are frequently used interchangeably. This is the variable that changes as we change it or watch it change. In other words, it is a factor that a researcher has changed in an experiment.

In the given situation, the number of people attending is an explanatory variable and the amount of food prepared is a dependent variable. As the number of people attending increases, the amount of food prepared also increases. This means the effect of one variable alters the effect of another variable. The change of one variable is called an independent variable while the change that occurs because of the independent variable is a dependent variable.

Therefore, the required answer is the number of people attending.

To know more about independent variables:

https://brainly.com/question/1479694

#SPJ4

The function represented by the table is: \(Y = (1/2)^X\).This is an example of an exponential function.

An algebraic function is a function created by applying the operation of addition, subtraction, multiplication, division, and extracting the nth root

To determine the type of function represented by the table, we can look at the pattern of the values of X and Y.

As we can see from the table, as X increases by 1, Y is divided by 2. This means that the relationship between X and Y is not linear but rather exponential. Specifically, the function is of the form Y = \(a(1/2)^X,\) where a is a constant.

To find the value of a, we can use one of the points in the table. Let's use the first point, (-4, 16):

16 = \(a(1/2)^(-4)\)

Multiplying both sides by\((1/2)^(-4)\):

\(16 * (1/2)^4\) = a

a = 16 * (1/16) = 1

Therefore, the function represented by the table is:

\(Y = (1/2)^X\)

This is an example of an exponential function.

Learn more about Root here

https://brainly.com/question/16932620

#SPJ1

Answer:

Step-by-step explanation:p

a/p = 65

p = a/65 ≅ 0.015a

The vertex form of the give quadratic equation is f(x) = (x+1)² + 2

The standard vertex form of a quadratic equation is expressed as

y = a(x -h)² + k

where (h, k) is the vertex

Given the quadratic equation

f(x) = x^2 + 2x + 3

Complete the question

f(x) = (x^2+2x) + 3

f(x) = (x^2+2x+1)-1 + 3

f(x) = (x+1)² + 2

Hence the vertex form of the give quadratic equation is f(x) = (x+1)² + 2

Learn more on vertex form of an equation here: https://brainly.com/question/17987697

#SPJ1

Answer:

Step-by-step explanation:

To find the lower, middle, and higher quartiles of the given data set, we need to first order the data from lowest to highest:

5, 6, 7, 8, 9, 10, 12, 14, 15, 17, 18, 19

The total number of values in the set is 12, so the middle value (or the median) will be the average of the 6th and 7th values:

Median = (9 + 10) / 2 = 9.5

To find the lower quartile (Q1), we take the median of the lower half of the data set, which includes the first six values:

Lower half: 5, 6, 7, 8, 9, 10

Q1 = median of the lower half = (7 + 8) / 2 = 7.5

To find the higher quartile (Q3), we take the median of the upper half of the data set, which includes the last six values:

Upper half: 12, 14, 15, 17, 18, 19

Q3 = median of the upper half = (15 + 17) / 2 = 16

Therefore, the lower quartile is 7.5, the middle quartile is 9.5, and the higher quartile is 16.

Answer:

C and D

Step-by-step explanation:

Hope this Helped! Please tell me if I'm wrong!

The situations that describe a quantity that changes in an exponential manner relative to the other quantity are,

A. The value of a printer decreases in value by 15% each year.

E. The amount of money in Devonte's savings account in it he earns 3.5% interest each year.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

The situations that describe a quantity that changes in an exponential manner relative to the other quantity are,

The value of a printer decreases in value by 15% each year,

It is an exponentially decaying function.

Suppose the first year it decayed to 85% of it's original value, next year it will decay 15% of 85% of its value.

The amount of money in Devonte's savings account it he earns 3.5% interest each year.

Suppose he earned 3.5% for $100, which is 103.5, next year he will earn

3.5% on $103.5, an exponentially growing function.

learn more about exponential functions here :

https://brainly.com/question/26977013

#SPJ2

The required answer is  e. Approximately 5% of people have BMIs that are classified as overweight. - This statement is true as less than 5% of people have BMIs that are classified as overweight.

Body mass index (BMI) is the ratio of a person's body weight to volume. Extreme high values are associated with obesity, and extreme low values are associated with malnutrition. The Centers for Disease Control (CDC) uses percentiles to categorize the weight status of individuals. The CDC uses the table below to classify children from ages 2 to 20.

The true statement among the following statements is:Approximately 5% of people have BMIs that are classified as overweight.

We have the following options:

a. Approximately 85% of people have BMIs that are classified as overweight. - This statement is false as only 18.5% to 24.9% of people have BMIs that are classified as healthy weight. Thus, less than 85% of people have BMIs that are classified as overweight.

b. Approximately 10% of people have BMIs that are classified as overweight. - This statement is false as more than 30% of people have BMIs that are classified as overweight.

c. More than twice as many people are classified as obese than as underweight. - This statement may be true, but it cannot be determined from the information given in the table.

d. Approximately 95% of people have BMIs  that are classified as overweight. - This statement is false as less than 95% of people have BMIs that are classified as overweight.

e. Approximately 5% of people have BMIs that are classified as overweight. - This statement is true as less than 5% of people have BMIs that are classified as overweight.

Learn more about BMIs here https://brainly.com/question/32255368

#SPJ11

Answer:

The student didn't fully factorize out the terms to the least factor. He only collected some like terms but there was still more to collect and that's why the Teacher didn't give him full credit

Step-by-step explanation:

The original polynomial is;

4x²y^(5) - 8xy³

Now, if we want to completely factor this properly, we have to do it to the barest minimum.

Thus;

4xy³ is common to both terms so we can bring them out;

4xy³(xy² - 2)

Now this complete factorization is different from the one the student gave which is 2xy³(2xy³ - 4)

Thus, the student at best has factorized but only partly as it has not been reduced to the least of like terms.