Brie bought a rug for her bedroom. The area of the rug measures 25 square feet. Her bedroom is ten feet wide and twelve feet long. Using the given measurements, what is the amount of her bedroom NOT covered by the rug

The inverse of a function is a function that "undoes" the original function. If f is a function and x is an element in the domain of f, then the inverse of f is denoted as f^-1(x) and is defined as the element in the domain of f such that f(f^-1(x)) = x.

The symbol "φ" (phi) is not a commonly used notation for any function. It is a Greek letter and can be used in different fields such as physics, mathematics, and engineering to represent different things depending on the context.

It is important to note that not all functions have inverses. A function has an inverse only if it is a bijective function, which is a function that is both injective and surjective, meaning that it maps every element of the domain to a unique element in the range and vice-versa.

So to find the inverse of a function, you have to first make sure that the function is bijective. If so, you can find the inverse function by switching the positions of x and y, then replacing y with f^-1(x) or x with f^-1(y) and solving for the new x or y.

To know more on inverse

https://brainly.com/question/2848580

#SPJ4

Answer:

[tex]r=\sqrt{\frac{3V}{\pi h} }[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3} \pi r^2h[/tex]

Lets solve for [tex]r[/tex].

Multiply both sides of the equation by 3.

[tex]3V=\pi r^2h[/tex]

Divide both sides of the equation by [tex]\pi h[/tex].

[tex]\frac{3V}{\pi h} =r^2[/tex]

Take the square root of both sides.

[tex]\sqrt{\frac{3V}{\pi h} } =r[/tex]

(A) The equation is:

$63[tex]x[/tex] = $1449 - $315

(B) The labor hours needed to complete the job was 18 hours.

(A) To find the number of labor hours needed to complete the job, we can set up an equation using the information given in the problem.

        $63[tex]x[/tex] = $1449 - $315

        [tex]x[/tex] = ($1134 / $63)

        [tex]x[/tex] = ($1134 / $63)

           = 18 hours

        18 hours × $63 = $1134

This confirms that 18 hours is the correct number of labor hours needed to complete the job.

Learn more about time equation here:

https://brainly.com/question/26469193

#SPJ4

Answer: (i) 0.234m

(ii) 8760000cm^2

Step-by-step explanation:

234÷1000=0.2234m

876x10^4=8760000cm^

The values of a, b, c and d are -5, -1, 3 and 5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is y=2x+1

Substitute (-3, a) in y=2x+1, we get

a=2(-3)+1

a=-6+1

a=-5

Substitute (-1, b) in y=2x+1, we get

b=2(-1)+1

b=-1

Substitute (1, c) in y=2x+1, we get

c=2(1)+1

c=3

Substitute (2, d) in y=2x+1, we get

d=2(2)+1

d=5

Therefore, the values of a, b, c and d are -5, -1, 3 and 5.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

Use the table to work out the values a, b, c and d.

      x        y=2x+1

     -3           a

     -2           -3

      -1           b

       0            1

       1            c

       2            d

Answer:

1/3 + 1/3 = (1+1)/3 = 2/3

1) 2/3

5/7 - 2/7 = (5-2)/7 = 3/7

2) 3/7

so all you have to do is add or sub the fractions together.

1/3 + 1/3 = 2/3

5/7 - 2/7 = 3/7

for the first box is 2/3

Second box is 3/7

GOODLUCK

The inequality representing p, the number of people who can go to the amusement park, is given as follows:

10.5p + 16.5 ≤ 90.

The inequality for this problem is build considering the linear cost function, defined in slope-intercept format as follows:

C(p) = mp + b.

In which the parameters are given as follows:

Parking is $16.50, and tickets cost $10.50 per person, hence the numeric values of the slope and the intercept are given as follows:

m = 10.50, b = 16.50.

Thus the cost function is given as follows:

C(p) = 10.5p + 16.5.

They have no more than $90 to spend on parking and admission, hence the inequality is defined as follows:

C(p) ≤ 90.

10.5p + 16.5 ≤ 90.

More can be learned about inequalities at https://brainly.com/question/9290436

#SPJ1

The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.

A quadratic polynomial in a single variable is x ax2+bx+c=0, which is a quadratic equation. a 0. The fact that this polynomial is of second order guarantees that it has at least one solution according to the Fundamental Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least one word in it has to be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the numerical coefficients or constants a, b, and c.

given

Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.

Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)

Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.

The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.

To know more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ4

Therefore, the slope of the line passing through the points (-3,4) and (2,-1) is -1

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. The term "line" may also be used to describe a line segment in daily life that contains two locations that serve as its endpoints.

A line's steepness may be determined by looking at its slope. The slope is computed mathematically as "rise over run" (change in y divided by change in x). Also, The slope of a line is known as "m", is the ratio of the change in the y-coordinate to the change in the x-coordinate of two points on the line.

To find the slope of a line passing through the points (-3,4) and (2,-1), we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, using the given points:

m = (-1 - 4) / (2 - (-3))

m = -5 / 5

m = -1

Therefore, the slope of the line passing through the points (-3,4) and (2,-1) is -1

To know more about the line visit:

https://brainly.com/question/30003330

#SPJ4

The residual value of coordinate is 0.24.

A residual is the discrepancy between a data point's actual value and the value predicted by a regression or trend line.

Trend lines provide the approximate shape of the data and display the general shape the data takes. The most precise trend lines are those that best suit the data.

Given equation y = 1.18x + 5.4

and coordinates (2, 8)

y at x = 2

y = 1.18x + 5.4

y = 1.18(2) + 5.4

y = 7.76

residual value = actual y axis value - predicted y axis value

residual value = 8 - 7.76 = 0.24

Hence the residual value is 0.24.

Learn more about residual;

https://brainly.com/question/13010508

#SPJ1

The time period it will take a principal of $25000 to grow int $28500 at a rate of 4% is approximately 3 years

Compound interest is the interest that is calculated on the initial principal and also on the accumulated interest of previous periods. It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest.

In the given question, our data is;

The formula is given as

A = P(1 + r/n)^nx

The given expression is

m(n) = 25000(1 + 0.04/ 2)^2n

m(n) = 28500

28500 = 25000(1 + 0.04 / 2)^2n

Solving for n,

n = 3.3

n ≈ 3

Learn more on compound interest here;

https://brainly.com/question/3989769

#SPJ1

When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

given

2500 guests are present when four-wheelers are available.

two wheelers, the number of guests is 1500,

making the total 2500 + 1500 = 4000.

70 percent of families will own four-wheelers, or 3000/4000/100.

30% of families will own two-wheelers, which equals 4000/100 * 30%, or 1200.

When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.

To know more about percentage visit:

https://brainly.com/question/29306119

#SPJ1

The value of r is 105 in this equation.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

In the quadratic formula, √r =[tex]\sqrt{b^{2}-4ac }[/tex]

Where a = 1, b = -9, and c = -6.

So √r = √(-9)² - 4(1)(-6)

√r = √81 -4(-6)

√r = √81 + 24

√r = √105

Hence, the value of r is 105 in this equation.

Learn more about quadratic equation , by the following link.

https://brainly.com/question/1214333

#SPJ4

If Hermione paid 98 coins and Luna paid 28 coins, Hermione paid for 672 Chocolate Frogs.

We can start the problem by using algebra. Let x be the number of Chocolate Frogs that Hermione paid for. Then we know that:

x + (2016 - x) = 2016 (the total number of Chocolate Frogs)

Also, we know that the cost of the Chocolate Frogs Hermione paid is 98 coins, and the cost of the Chocolate Frogs Luna paid is 28 coins. Let's assume the cost of each Chocolate Frog is y. Then we can write:

x * y = 98 and (2016 - x) * y = 28

Now we have a system of two equations with two variables (x and y). To find the value of x, we can use any method to solve the system of equations, such as substitution or elimination.

Using substitution, we can solve for y in the second equation and substitute it into the first equation:

(2016 - x) * y = 28

y = 28 / (2016 - x)

x * (28 / (2016 - x)) = 98

x * (28 / (2016 - x)) = 98

x = 98 * (2016 - x) / 28

Solving for x, we get:

x = 2016/3

So Hermione paid for 2016/3 = 672 Chocolate Frogs.

To learn more about algebra, visit:

brainly.com/question/19447945

#SPJ4

Answer:

Hermione paid for 1,568 frogs.

Step-by-step explanation:

First, do 98 + 28. That will give you 126. Then do 2,016 / 126. That gives you 16. 16 x 98 = 1568 frogs.

Let's do Luna's to check our work.

28 x 16 = 448 frogs. 448 + 1568 = 2,016. So, Hermione paid for 1,568 frogs.

Therefore , the solution of the given problem of equation comes out to be 1.39500 profit and 2.-400 loss.

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

For C no of cars

=> Profit = total earning in a month - Expense in a month

=> (25-6)C - (23500-6000)

=> P = 19C-17500

If 3000 cars serviced then,

=> Profit = 19(3000)-17500

=> Profit = 39500

If no of cars received in particular month is 900 then profit or loss

=>Profit = 19(900)-17500

=> Profit = -400

That is loss.

Therefore , the solution of the given problem of equation comes out to be 1.39500 profit and 2.-400 loss.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Therefore ,this maxima of the preceding problem is 2 ≥ 0 , which leads to x²+90=> f(x) ≥ 9 , indicating that there is no maxima.

The maxima & minima of the a function are its maximum and minimum points within or across a given range, and these points are collectively referred to as extrema in mathematical analysis. The highest value of the variable. The maximum amount, level, etc. The variable can only take a maximum of 2. Maximum refers to a peak (plural maxima). The lowest position is referred to as minimal (multiple minimum). Extremum is a phrase for the largest or least of anything (multi-extremum). Peaks (or minima) are used if there are better (or worse) sites available elsewhere but they are not nearby.

Here,

Given :

=> f(x) = x²+9 20

=> x²+9>0 and

=> f(x) 9,

maxima are not possible.

To know more about maxima visit:

brainly.com/question/29562544

#SPJ1

We can see here that the effect that the circled point will have on the y-intercept is: B. The y-intercept will decrease because the point pulls the least-squares regression line toward it.

In statistics, an intercept is the value of the dependent variable when the independent variable(s) is equal to zero. It is often represented by the symbol "b" in a linear equation.

For example, a simple linear equation has the form y = mx + b, where "y" is the dependent variable, "x" is the independent variable, "m" is the slope of the line, and "b" is the y-intercept. The y-intercept is the point where the line crosses the y-axis.

We see here that the answer above is the correct answer.

Learn more about intercept on https://brainly.com/question/24990033

#SPJ1

The correct option that tests the given claim on statistics is; D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.

Statistical research is defined as the rigorous development of improved or new statistical methods grounded in probability and statistical theory.

Statistical data analysis is basically a procedure that is used to perform various statistical operations.

Now, from the question, the claim is that In statistics, results are always reported with 100 % certainty.

Now, this claim needs to be examined because there is no perfect human being and as such since statistics is drawn from a lot of samples and groups, there is guaranteed to be some form of variability in responses or results as the case may be.

Therefore, we can say that is option D.

Read more about statistics research at; https://brainly.com/question/15703255

#SPJ1

The measure of ∠B is (x - 25)° = (27 - 25)° = 2°.

What are supplementary angles?

Supplementary angles are two angles that add up to 180 degrees. They are angles that when placed together will form a straight line. They are called "supplementary" because they "supplement" each other to form a straight angle.

When two angles are supplementary, their measures add up to 180 degrees. So, if ∠A and ∠B are supplementary, then:

m∠A + m∠B = 180

Given that m∠A = (7x - 11)° and m∠B = (x - 25)°, we can substitute these values into the equation:

(7x - 11)° + (x - 25)° = 180

Simplifying this equation by combining like terms:

8x - 36 = 180

Adding 36 to both sides:

8x = 216

Dividing both sides by 8:

x = 27

Hence, the measure of ∠B is (x - 25)° = (27 - 25)° = 2°.

To learn more about the supplementary angles, visit:

https://brainly.com/question/12919120

#SPJ4

The measure of ∠B is (x - 25)° = (27 - 25)° = 2°.

What are supplementary angles?

Supplementary angles are two angles that add up to 180 degrees. They are angles that when placed together will form a straight line. They are called "supplementary" because they "supplement" each other to form a straight angle.

When two angles are supplementary, their measures add up to 180 degrees. So, if ∠A and ∠B are supplementary, then:

m∠A + m∠B = 180

Given that m∠A = (7x - 11)° and m∠B = (x - 25)°, we can substitute these values into the equation:

(7x - 11)° + (x - 25)° = 180

Simplifying this equation by combining like terms:

8x - 36 = 180

Adding 36 to both sides:

8x = 216

Dividing both sides by 8:

x = 27

Hence, the measure of ∠B is (x - 25)° = (27 - 25)° = 2°.

To learn more about the supplementary angles, visit:

brainly.com/question/12919120

#SPJ4

The distance between two points in a plane is the length of the line segment connecting them. The formula d=((x2 - x1)2 + (y2 - y1)2) is frequently used to determine the separation between two points.

The length of the line segment bridging two locations in a plane is known as the distance between them. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points. This equation can be used to determine the separation between any two locations on an x-y plane or coordinate plane.

The length of the line segment is the distance between two points. Congruent segments are those that share the same length. By using a ruler to draw a line, we may determine how far apart two points are.

x,y = (-8,0) (-8,0)

or

x/y = -8/0

If there was an association between L and K, we would use x,y = 8,0.

Since the query reads "between point K and point L," the x,y relationship becomes "-8,0."

Therefore, the answer is -8,0.

To learn more about distance between point refer to:

https://brainly.com/question/23848540

#SPJ1

Answer:

Step-by-step explanation:

A. 2x = -6

    x = -3

 3 + y = 5

   y = 2

(-3, 2)

-9 - 2 = -11

 -11 = -11

3 + 2 = 5

5 = 5

B. 4x + 2y = 1

    6x + 4y = 1

-8x - 4y = -2

 6x + 4y = 1

-2x = -1

x = 1/2

4(1/2) + 2y = 1

2 + 2y = 1

2y = -1

y = -1/2

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

1 + 3 = 2 + 2

4 = 4

6(1/2) + 4(-1/2) = 1

3 - 2 = 1

1 = 1

C.

-x + 32y = -25

4x + 8y = 100

-4x + 128y = -100

136y = 0

y = 0

-x = -25

x = 25

(25, 0)

32(0) - 25= -25

-25= -25

5(25) = 100 + 25 - 8(0)

125 = 125

D.

3x + 2y = 6

4x + 5y = -20

-12x - 8y = -24

12x + 15y = -60

7y = -84

y = -12

2(-12) + 3x = 6

-24 + 3x = 6

3x = 30

x = 10

(10, -12)

2(-12) + 3(10) = 6

-24 + 30 = 6

6 = 6

4(10) + 5(-12) + 20 = 0

40 - 60 + 20 = 0

 -20 + 20 = 0

0 = 0

The inequality that shows the relationship between thier heights is; g < r or r > g

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

Now we have the following parameters that can be used in our computation:

Reese is taller than Gage.

Also, we have

Reeses's height = r

Gage's height = g

Since Reese is taller than Gage, then it means that

The value of r is greater than the value of g

So, we have the following inequality expression;

r > g

Also, we have;

g < r

Hence, the inequality is g < r

Read more about inequality at

brainly.com/question/25275758

#SPJ1

The angle between the 5cm and 7cm sides to the nearest degree should measure approximately 71 degrees.

To construct a triangle with sides 7cm, 5cm and 6cm, start by drawing a straight line of 7cm length using the ruler. Next, use the compasses to draw an arc from one end of the line, with a radius of 5cm. Then, draw another arc from the same point of the line, with a radius of 6cm. Where the arcs intersect, draw a straight line connecting them to complete the triangle.

To measure the size of the angle between the 5cm and 7cm sides, use the compasses to draw a small arc from the vertex of the angle, and measure the angle using the ruler. To ensure accuracy, divide the angle into smaller, easier-to-measure angles. Repeat the process until the angle is measured to the nearest degree. In this case, the angle between the sides of 5cm and 7cm is approximately 71 degrees.

Learn more about Angles here:

https://brainly.com/question/28293784

#SPJ4

Answer:

Step-by-step explanation: a=4, b=2.

Answer:

b = 39

Step-by-step explanation:

[tex]a-6=b[/tex]

if a = 45:

[tex]45-6=b\\39=b[/tex]

Hope this helps

Using the provided data, We should consider the mid-value for the number of students and take the average of percentage to find the estimate number, The answer is 168.

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is used to make decisions, predictions and gain knowledge from data. It involves using statistical methods to collect, summarize, and draw conclusions from data. It is used in various fields such as business, economics, social science, engineering, and medicine. It helps to make sense of complex data and make informed decisions.

In statistics, an estimate is a value that is calculated from a sample of data in order to approximate a population parameter. The most common examples of estimates are sample mean, sample proportion, sample standard deviation, and sample variance. These estimates are used to infer information about the population from which the sample was drawn. For example, an estimate of the population mean is calculated by taking the average of a sample of data and using that value to infer the value of the population mean.

mid-value of 500-600 = 550

average % = 30.5%

Athletes number = 30.5% of 550

=168

To learn more about estimates visit:

https://brainly.com/question/28338974

#SPJ4

Answer:

E

Step-by-step explanation:

Let

A = # of slices Alice got

B = # of slices Bob got

C = # of slices Charles got

D = # of slices Darwin got

First, write equations based on given information:

A = 0

B = 2C

5C = D

D = C + 8

5C = D -> D = 5C

Now that we have two equations for D, we can set them equal to each other:

5C = C + 8

4C = 8

C = 2

Now just plug in the rest:

A = 0

B = 2(2) = 4

C = 2

D = 2 + 8 = 10

Add all solutions together to get (E) 16 slices

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.

To know more about triangle, visit

brainly.com/question/2773823

#SPJ1

The area of the floor in the scale drawing is 60 inches².

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Actual rectangle:

Length = 24 feet

Width = 40 feet

Scale rectangle:

Length = 6 inches

Width = 40/4 = 10 inches

The area of the scaled rectangle.

= Length x Width

= 6 x 10

= 60 inches²

Thus,

The area of the scaled rectangle is 60 inches².

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ1

Answer:

Yes, it would be 225%.

Step-by-step explanation:

If 20/20= 100% you can evenly take out 200% because there is 45/20.

That leaves you with the 5/20.

5/20= 25%.

If we add those two percentages 200% + 25%= 225%.

I hope that made sense lol, have a great day!