Identify the two x-values where the expression is undefined: *
x²+6x-27/x^2-81



-81
9
3
-3
81

The radius of the circle which is overlapping the square is 1.12.

The length of side of the square is 2. Let us say that the radius of the circle is R.

The circle and the square are overlapping on each other.

The area of the region that are outside the circle but inside the square are equal to the area of the region which are inside the circle but outside the square.

Let us name the area of the region that are outside the circle but inside the square as M.

Let us name the area of the region which are inside the circle but outside the square as N.

Let us say that the area that is common in both is C.

The area of the square is 4.

So, according to the question,

M + C = 4

And,

N + C = πR²

And we know, M = N,

So,

C - πR² = C - 4

R = 2/√π

R = 1.12.

So, the radius of the circle is 1.12

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By using tangent property of circle, it has been proved that [tex]\Delta[/tex] ABC is isosceles

What is tangent to a circle?

At first it is important to know about circle.

Circle is a two dimensional round figure in which every point of the circle maintains a fixed distance from a point known as the center. The fixed distance is called the radius of the circle.

The straight line which touches the circle at any point is known as the tangent to a circle.

Tangent property of circle is used here

[tex]\angle BAY = 72^{\circ}[/tex]

[tex]\angle ABC = 54^{\circ}[/tex]

[tex]\angle ACB = 72^{\circ}[/tex] [Angle in alternate segment are equal]

[tex]\angle BAC = 180 - (54 + 72)\\[/tex] [Sum of three angles of a triangle is 180°

          =   180 - 126

          =   54°

[tex]\Delta ABC[/tex] is isosceles

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Answer:

decimal form> -4.87577494

Exact form> -In(212)/In(3)

Answer:

if the root is 10 then the function is ²✓5

Systematic random sampling is the sampling method is the auditor using for each salesperson.

Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.

Given,

The sales force for a publishing company is constantly on the road trying to sell books. as a result, each salesperson accumulates many travel-related expenses that he or she charges to a company-issued credit card. to prevent fraud, management hires an outside company to audit a sample of these expenses. for each salesperson, the auditor prints out the credit card statements for the entire year, randomly chooses one of the first 20 expenses to examine, and then examines every 20th expense from that point on.

Systematic random sampling is the sampling method is the auditor using for each salesperson.

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The sum of the numbers they wrote on the piece of paper is 2,305,843,009,213,693,954

What is Pythagoras's theorem?

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle or in standard algebraic notation, a² + b² = c², is equal to the squares on the legs.

What is the sum of numbers?

The outcome or conclusion we arrive at when we add two or more integers is known as the sum. Addends are the numbers that are added.

Here, we calculate the sum of the given numbers

= (1³)^²⁰  +  (1³)²⁰  +  (2³)²⁰  +  (-2³)²⁰

= 2,305,843,009,213,693,954

Hence, the sum of the numbers they wrote on the piece of paper is 2,305,843,009,213,693,954.

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Answer:

hello\\

Step-by-step explanation:

If the matrix C = [tex]\left[\begin{array}{cc}-6&6\\-2&4\end{array}\right][/tex], then the determinant of the matrix |C| = -12

The given matrix is

C = [tex]\left[\begin{array}{cc}-6&6\\-2&4\end{array}\right][/tex]

The matrix is defined as the set of numbers that arranged in rows and columns to form a rectangular array. The numbers in the matrix are called the elements of the matrix.

Here we have to find the determinant of the matrix C

The determinant of the matrix is defined as the scalar value calculated for a given square matrix.

The determinant of C is represented by |C|

Then,

C = [tex]\left[\begin{array}{cc}-6&6\\-2&4\end{array}\right][/tex]

|C| = -6×4 - 6×-2

= -24 -(-12)

= -24 + 12

= -12

Hence, if the matrix C = [tex]\left[\begin{array}{cc}-6&6\\-2&4\end{array}\right][/tex], then the determinant of the matrix |C| = -12

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Answer:

slope=5/4 y intercept=-3/4

Step-by-step explanation:

put it into slope intercept form y=5/4x-3/4

pull out 5/4 as slope and -3/4 as y intercept

The area of the figure created by Brianna is  [tex]33\frac{3}{4}[/tex] square feet.

Explain area in mathematics.

Area is a mathematical concept that expresses the size of a region on a planar or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area or, it can be simply defined as the total amount of space occupied by a flat (2-D) surface or an object's shape.

Solution Explained:

A square with a side of 4 1/2 feet and two parallelograms with bases of 4 1/2 feet and heights of 1 1/2 feet make up the figure.

Therefore, the total area of the figure is
Area of Square + 2 X Area of Parallelogram
= (side)^2 + 2(b X h)
= (4 1/2)^2 + 2(4 1/2 X 1 1/2)
= 81/4 + 27/2    
=  135/4
= [tex]33\frac{3}{4}[/tex] square feet

Area of the figure is [tex]33\frac{3}{4}[/tex] square feet.

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Answer:

33

Step-by-step explanation:

evaluate f(- 3) by substituting x = - 3 into f(x)

f(- 3) = 3(- 3)² - (- 3) + 5 = 3(9) + 9 + 5 = 27 + 14 = 41

evaluate f(4) by substituting x = 4 into f(x)

f(4) = 3(4)² - 4 + 5 = 3(16) + 1 = 48 + 1 = 49

Then

2f(- 3) - f(4) = 2(41) - 49 = 82 - 49 = 33

Answer: 5

Step-by-step explanation: First we do (-4-(-7))^2 which is 9 and then

(8-4)^2 which is 16 so 9+16=25 and √25 = 5.

The range of the given function is y ≥ 0 which is option B.

From the graph:

Some points (-1,1),(-2,2),(0,0),(1,1),(2,2)

Range is defined as the set of y values or outputs.

range = 0,1,2,3 ......

Means range starts from zero to infinite(0 to all positive values.

so range = y ≥ 0

Therefore  range of the given function is y ≥ 0 which is option B.

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Answer:

Step-by-step explanation:

Dibuja una diagrama de cinta dividido en 3 y pinta 2 de los espacios

De nada :>

Answer:

[tex](x+5)^{2}+(y-7)^{2} =16[/tex]

Step-by-step explanation:

The Standard Form of Circle Equation whose Center is at ( h , k) and Radius of r is given by

[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]

So for our Question

we have ( h , k ) = ( -5 , 7 )  and r = 4

By substitution

[tex](x-(-5))^{2}+(y-7)^{2} =4^{2}[/tex]

Simplify [tex](x+5)^{2}+(y-7)^{2} =16[/tex]

The calculation that is not a way to find a fraction of 5/8 is:

1 - 0.125.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

The terms are classified as follows:

Hence the numeric value of the fraction 5/8 presented in this problem is given as follows:

5/8 = 0.625.

The calculation that is not a way to find the fraction of 5/8 is the only expression that has a different value than 5/8.

The expression with a different value is of:

1 - 0.125 = 0.875.

As the value of 0.875 is different than the value of 0.625 equivalent to the fraction of 5/8.

The complete problem is given by the image at the end of the answer.

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By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.

SSS Similarity Theorem: What is it?

The SSS similarity theorem is used to determine whether or not two triangles are similar.

The side-side-side, or SSS. According to this theorem, triangles are comparable if all three sides of one triangle are proportional to the three equivalent sides of another triangle.

The first triangle's sides in the example figure are 35, 20, and 20. The second triangle has sides x, 44, and 44.

So, according to the SSS similarity theorem,

x/35 = 44/20

x =44 *35 /20

x =77

By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.

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Answer:28

Step-by-step explanation:

its 4 cause i have done this

First, we isolate the variable on one side of the inequality by subtracting 15 from both sides:

15 - 2x - 15 ≤ 11 - 15

Simplifying the left side, we get:

-2x ≤ -4

Next, we divide both sides by -2. Since we are dividing by a negative number, we need to flip the inequality sign:

-2x/-2 ≥ -4/-2

Simplifying, we get:

x ≥ 2

Therefore, the solution to the inequality 15-2x ≤ 11 is x ≥ 2.

add me cuties

The number of people the elevator would carry more if all passengers were children would be = 148 extra people.

An elevator is defined as the machine that is being installed in tall buildings which helps to transport individuals either to slower level or a higher level of the building.

The number of adults the elevator can carry at a time = 28 adults.

The number of children the elevator can carry at a time = 30 children.

During the course of the day the total capacity of the elevator= 28 × 74 = 2,072.

The number of people the elevator would carry more if all the passengers where children would be;

30 × 74 = $2,220

2,220 - 2,072 = 148 extra people.

Therefore, the number of people the elevator would carry more if all passengers were children would be = 148 extra people.

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From the given table which represents the two system of linear function is given by y = -4x +10 and y = -3x +2 , the solution of the system of linear function is (x, y) = (8 , -22).

As given in the question,

Table which represents the system of linear function are as follow:

table 1:

x:      -4       -2        0       2

y:     26       18       10     2

table 2:

x:      -4       -2        0       2

y:     14       8         2      -4

For table1 :

System of linear function:

(x₁ , y₁) = (0,10)

(x₂ , y₂) = (2, 2)

Equation of linear function:

(y -y₁)/ (x-x₁) =(y₂ -y₁)/(x₂ -x₁)

⇒(y -10)/ (x-0) =(2-10)/(2-0)

⇒y-10 =-4(x)

⇒ y = -4x +10     __(1)

For table2 :

System of linear function:

(x₁ , y₁) = (0,2)

(x₂ , y₂) = (2, -4)

Equation of linear function:

(y -y₁)/ (x-x₁) =(y₂ -y₁)/(x₂ -x₁)

⇒(y -2)/ (x-0) =(-4-2)/(2-0)

⇒y-2 =-3(x)

⇒ y = -3x +2     __(2)

Solve system of linear function (1) and (2) we get,

-4x +10 = -3x +2

⇒4x -3x =10 -2

⇒x =8

⇒y = -4(8) +10

     = -22

(x, y) = (8 ,-22)

Therefore, from the given table which represents the two system of linear function is given by y = -4x +10 and y = -3x +2 , the solution of the system of linear function is (x, y) = (8 , -22).

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Answer:

D

Step-by-step explanation:

trust

Answer:

-.5

Step-by-step explanation:

u=2+-2.5=.5

Answer:

y = -4x

b. y = -20.

Step-by-step explanation:

y = kx

-8 = 2k

k = -8/2

k = -4

y = -4x

y = kx

y = -4 × 5

y = -20

The new odds that the box picked is a special one is 4

Since, there are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.

We will have this hypothesis:

The box the blue marble was picked from is the special box.

Prior confidence we had:

Ratio of special boxes to non special boxes=1:3

Now P(blue &special)=1/2, given that a box is selected from the special box, there is 1/2 chance that it is blue

And P(blue & not special)=1/8, given that a box is selected from a non-special box, there is 1/8 chance that it is blue

According to  Baye's factor ,we get:

P(B & S)/P(B & NS)=(1/2)/(1/8)

                               =4

Thus, 4 is the new odds that the box picked is the special one.

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There are 24,024 different ways to choose a President, Vice President, Treasurer, and Secretary from a group of 14 students.

Permutation is the arrangement of objects in a specific order. It is the number of different ways in which a set of objects can be arranged in a specific order. The formula to calculate permutation is:

[tex]P(n, r) = n! / (n - r)![/tex]

Permutations are commonly used in mathematics, science, and engineering, and are useful for solving problems that involve counting the number of possible arrangements of objects or events.

We can use the formula for permutations to find the number of ways to choose the four officers from a group of 14 students.

The number of permutations of n objects taken r at a time is given by:

[tex]^nP_r = n! / (n - r)![/tex]

where n! denotes n factorial, which is the product of all positive integers up to n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

In this case, we want to choose 4 students from a group of 14, and the order in which they are chosen matters (since we are electing them to specific positions). So we have:

n = 14

r = 4

The number of ways to choose the four officers is therefore:

[tex]^1^4P_4 = 14! / (14 - 4)! = 14 \times 13 \times 12 \times 11 = 24,024[/tex]

Therefore, there are 24,024 different ways to choose a President, Vice President, Treasurer, and Secretary from a group of 14 students.

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P(-4,-1) are the coordinates of circumcentre of the triangle

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of that particular triangle intersect.

Let A(-5,-4), B(3,-4), C(-1,6) be the vertices of the given △ABC.

Let P(x,y) be the circumcentre of △ABC. Then,

PA = PB = PC

Also, PA² = PB² = PC²

PA² = PB²

(x-(-5))² + (y-(-4))² = (x-3)² + (y-(-4))²

(x+5)² + (y+4)² = (x-3)² + (y+4)²

x²+10x+25 + y²+8y+16 = x²-6x+9 + y²+8y+16

10x-6x = 9-25

4x = -16

x = -16/4 = -4

Also, PB² = PC²

(x-3)² + (y+4)² = (x+1)² + (y-6)²

x²-6x+9 + y²+8y+16 = x²+2x+1 + y²-12y+36

-6x-2x+8y+12y = 37-9-16

-8y+20y = 12

-2x+5y = 3 .......(1)

put x= -4 into (1):

-2(-4)+5y = 3

8+5y = 3

5y = 3-8

5y = -5

y = -1

Therefore, the coordinates of circumcentre of △ABC are P(-4,-1)

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If Otis made [tex]1\frac{3}{5}[/tex]  cups of oatmeal and he put 2/3 cup of oatmeal into each bowl, then he made 12/5 bowls of oatmeal

Total quantity of oatmeal that Otis made = [tex]1\frac{3}{5}[/tex]  cups of oatmeal

Convert mixed fraction to simple fraction

[tex]1\frac{3}{5}[/tex]  cups = 8/5 cups

The quantity of oatmeal in each bowls =  2/3  cup of oatmeal

Then the number of bowls of oatmeal that he made = Total quantity of oatmeal that Otis made ÷ The quantity of oatmeal in each bowls

Substitute the values in the equation

The number of bowls of oatmeal that he made = 8/5 ÷ 2/3

= 8/5 × 3/2

= 12/5 bowls

Hence, if Otis made [tex]1\frac{3}{5}[/tex]  cups of oatmeal and he put 2/3 cup of oatmeal into each bowl, then he made 12/5 bowls of oatmeal

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