Jason is planning to replace carpet in the utility room of his house the length of the room is 8 feet and the width of the room is 7 feet how many square feet of carpet does jason need

Answer:

Can you attach the figure?

Step-by-step explanation:

so,  -11-\(\sqrt{2}\)i and 3 + 4i are roots of polynomial function f(x) so 11 + \(\sqrt{2}\)i and

3 - 4i are roots of f(x)  

Therefore, option D is correct

Polynomial function:

A polynomial function, in general, is also stated as a polynomial or polynomial expression, defined by its degree. The degree of any polynomial is the highest power present in it.

given that

Patricia is studying a polynomial function f(x). three given roots of f(x) are

-11-\(\sqrt{2}\)i , 3 + 4i and 10 . Patricia concludes that f(x) must be a polynomial with degree 4.

so -11-\(\sqrt{2}\)i and 3 + 4i are roots of polynomial function f(x) so 11 + \(\sqrt{2}\)i and

3 - 4i are roots of f(x)  

Therefore, option D is correct

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The value of z from the triangle is z = 31.3785

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the first triangle be represented as ABC

Now , the triangle inscribed inside ABC is ADC , where CD is perpendicular to the line AB

Now , the measure of BC = 27

The measure of BD = 16

And , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , the measure of CD = √ ( BC )² - ( BD )²

On simplifying , we get

The measure of CD = √ ( 27 )² - ( 16 )²

The measure of CD = √ ( 729 - 256 )

The measure of CD = 21.7485

From the trigonometric relations .

sin ( 45 )° = ( z - 16 ) / CD

0.7071068 = ( z - 16 ) / 21.7485

Multiply by 21.7485 , we get

z - 16 = 15.3785

Adding 16 on both sides , we get

z = 31.3785

Hence , the measure of z of triangle is 31.3785

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Answer:

$75.3

Step-by-step explanation:

(7.80x7)+(6.90x3)

=54.6+20.7

=$75.3

The amount of simple interest on the installment plan for the computer is $144.

We have,

To calculate the amount of simple interest on a one-year installment plan for a computer that costs $2400 with a 6% interest rate, we can use the formula:

Simple Interest = Principal x Rate x Time

Where:

Principal = $2400 (the cost of the computer)

Rate = 6% (6/100 expressed as a decimal)

Time = 1 year

Plugging in,

Simple Interest = $2400 x 0.06 x 1

= $144

Therefore,

The amount of simple interest on the installment plan for the computer is $144.

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Answer:

\(\huge\boxed{\sf x = -100}\)

Step-by-step explanation:

\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)

EXPLANATION:

-We must first find the value of x in the given equation for AC=4y-48.

-After obtaining the value we must add the value of AD = 18

The exercise is as follows:

Now we must replace the value in the equation; is as follows:

The translation is as shown in the figure in option B

Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.

The transformation required ahs the rule defined as

Applying the rule arrives the image in option B

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The given statement "Of the range, the interquartile range, and the variance, the interquartile range is least influenced by an outlying value in the data set." is False

Range: It is the difference between the minimum and maximum values of data. It is affected by the presence of outliers.

Interquartile range: It is the difference between the third quartile and the first quartile of data.

Variance:

Variance = \(\frac{\Sigma(x_{i} - \bar{x})^{2}}{n}\)

where xi are data points,  \(\bar{x}\) is the mean and n is the number of observations. It is a measure of the spread of the data. It is affected by the presence of outliers as they increase the variation in the data.

Hence, the given statement is false.

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The present ages of the father and son are 36 and 9, respectively.

The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. To find the present ages of the father and son, we can set up a system of equations.

Let's denote the present ages of the father as "F" and the present age of the son as "S".

From the information given, we have two equations:

Equation 1: F + S = 45 (The sum of their ages is 45)
Equation 2: (F - 5)(S - 5) = 4(F - 5) (Five years ago, the product of their ages was four times the father's age at that time)

To solve this system of equations, we can use substitution or elimination method.

Let's solve it using the substitution method:

From Equation 1, we can express F in terms of S: F = 45 - S

Now, substitute F in Equation 2 with 45 - S:

(45 - S - 5)(S - 5) = 4(45 - S - 5)

Simplify the equation:

(40 - S)(S - 5) = 4(40 - S)

Expand and simplify:

40S - 5S - 200 + 25 = 160 - 4S

Combine like terms:

35S - 175 = 160 - 4S

Add 4S to both sides:

35S + 4S - 175 = 160

Combine like terms:

39S - 175 = 160

Add 175 to both sides:

39S = 335

Divide both sides by 39:

S = 335/39

Simplify:

S ≈ 8.59

Since age cannot be in decimal places, we can approximate the son's age to the nearest whole number:

S ≈ 9

Now, substitute S = 9 into Equation 1 to find the father's age:

F + 9 = 45

Subtract 9 from both sides:

F = 45 - 9

F = 36

Therefore, the present ages of the father and son are 36 and 9, respectively.

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Answer:

curved lines

Step-by-step explanation:

because a linear persctive is a straight line or perspective where in which a curved line isnt

Answer:

Undefined

Step-by-step explanation:

Use the formula y2-y1/x2-x1

3-9/-5-(-5)

-6/0

Any number with a denominator of 0 is undefined

Answer:

9. Find AB. * In the diagram, AC-24√√2 and BC-24√√2. Find AB. Write your answer in simplest form. A

Answer:

the answer is B

Step-by-step explanation:

B is not a function it is a chart

(goin off off what i was told in middle school)

Answer:

To find the area of a square, multiply the 2 sides by each other (all sides are equal)

S=14×14=196

196m^2

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

Answer:

The answer is B. coefficient.

Step-by-step explanation:

Hope this helps! ^^

The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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The volume of the cylindrical solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^x and the line x = ln 9 about the line x = ln 9 is approximately 19.251 cubic units.

To find the volume of the solid generated by revolving, we can use the method of cylindrical shells.

Consider a vertical strip of thickness dx at a distance x from the line x = ln 9. Revolving this strip about the line x = ln 9 will generate a cylindrical shell of radius (ln 9 - x) and height e^x. The volume of this cylindrical shell is given by:

dV = 2π (ln 9 - x) e^x dx

To find the total volume of the solid, we need to integrate dV over the range of x that defines the region of interest. Since the region is bounded by the coordinate axes, we can integrate from x = 0 to x = ln 9. Thus, the total volume of the solid is:

V = ∫0^ln9 2π (ln 9 - x) e^x dx

Using integration by parts, we can evaluate this integral as:

V = 2π [x e^x - e^x] from x = 0 to x = ln 9

V = 2π [(ln 9)(9/e) - (1/e)]

Therefore, the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^x and the line x = ln 9 about the line x = ln 9 is approximately 19.251 cubic units.

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Answer:

2x+y=-10

Step-by-step explanation:

Answer:

7,13,31,85,247......

Step-by-step explanation:

\(a_n =3^n + 4\)

        \(\sf a_1=3^1 + 4 = 3 + 4 = 7\\\\a_2 = 3^2 + 4 = 9 + 4 = 13\\\\a_3 = 3^3 + 4 = 27 + 4 = 31\\\\a_4 = 3^4 + 4 = 81 + 4 = 85\\\\a_5 = 3^5 + 4 = 243 + 4 = 247\)

Answer:

Step-by-step explanation:

Inside

By using percentage, it can be calculated that

Percentage decrease in the screen time for Lora  = 40 %

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example 9% means \(\frac{9}{100}\). Here 9 is expressed as a fraction of 100

Here, Percentage decrease will be calculated

Screen time for Lora last week = 840 minutes

Screen time for Lora this week = 504 minutes

Decrease in screen time for Lora = (840 - 504) minutes

                                                        = 336 minutes

Percentage decrease in the screen time for Lora = \(\frac{336}{840}\times 100\) = 40 %

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9514 1404 393

Answer:

  (b)  Congruent Figures

Step-by-step explanation:

Reflections, rotations, and translations are called "rigid transformations" because they do not change the size or shape of the figure. The image is always congruent to the original.

On the other hand, dilations change the size of the figure, so the image is not congruent with the original.

Rigid transformations result in congruent figures.

Answer:

5

Step-by-step explanation:

Input the given values of p and q into the expression and solve:

\(\frac{p+q}{3}\)

\(\frac{9+6}{3}\)

9 + 6 = 15

\(\frac{15}{3} = 5\)

The value of the expression is 5.

The volume of the canister is 339.1 cubic inches.

The volume of a cylinder is calculated by using the formula V=πr²h, where r is the radius of the cylinder and h is the height of the cylinder.

The radius of the cylinder is half of the diameter, so the radius of the canister is 3 inches.

Using the formula, we can calculate the volume of the canister as follows:

V = π×3²×12

V = 108×3.14

V = 339.1 cubic inches

Therefore, the volume of the canister is 339.1 cubic inches.

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Answer:

values of x and y is (4, -2), (0, 0) and (2, 10)

Step-by-step explanation:

\( - 5 = > 45 \\ - 4 = > 28 \\ - 3 = > 15 \\ - 2 = > 6 \\ - 1 = > 1 \\ 0 = > 0 \\ 1 = > 3 \\ 2 = > 10 \\ 3 = > 21\)

The value of x is given as follows:

x = 62º.

We have two secants in this problem, and point C is the intersection of the two secants, hence the angle measure of x is half the difference between the angle measure of the largest arc by the angle measure of the smallest arc.

The arc angles are given as follows:

23º and 147º.

Hence we can obtain the measure of x as follows:

x = 0.5 x (147 - 23)

x = 62º.

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