1.) Which one of these shapes is not like the others? Explain what makes it different b
representing each width and height pair with a ratio.

Using Gaussian elimination, the solution to the given system of equations is:

x = 5, y = -11, z = 3.

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

The system is composed by these following equations:

For Gaussian elimination, the first step is building the augmented matrix of the system, for which which:

Hence the augmented matrix of the system is:

[tex]\left[\begin{array}{cccc}2&-1&4&33\\1&2&-3&-26\\-5&-3&5&23\end{array}\right][/tex]

Then, we need to make the coefficient of x zero in the second and third rows, which is a step to find the solution in an easier way, hence these following row operations are applied:

Then:

[tex]\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&-11&30&211\end{array}\right][/tex]

Now we need to make the coefficient of y on the third row zero, which will make it possible for us to solve for z hence the following row operation is applied:

R3 -> 11R2 + 5R3.

Then:

[tex]\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&0&40&120\end{array}\right][/tex]

Starting at the third row and moving up, we have that:

Hence the solution to the given system of equations is:

x = 5, y = -11, z = 3.

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The value of f(8) is -4.

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.

For example, 4x + 5x - 1 is a polynomial.

We can consider the polynomial to be:

f(x) = x - 12 so that when we divided by x - 8 we get a remainder of -4.

i.e

(x - 12) / (x-8)

x - 8 ) x - 12 ( 1

          x - 8          [ (x - 8) x 1 = x - 8 ]

              -4           [ we change the sign of the coefficient ]

                            [ x - 8 becomes (-x + 8) ]              

                            [ x gets canceled and -12 + 8 = -4 ]

We see that the quotient is 1 and the remainder is -4.

Now,

We can  use this polynomial f(x) = x - 12.

f(8) = 8 - 12 = -4

We can also directly say that the value of f(8) is -4 because the remainder is given as -4.

Thus,

The value of f(8) is -4.

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The equation that represents the quotient of a number x, and five is half the difference of a number and four is    [tex]\frac{x}{5}=\frac{1}{2}(x-4)[/tex]

Given,

The number = x

When you divide a number with another number the result is called the quotient

The quotient of a number x and five = [tex]\frac{x}{5}[/tex]

Difference of a number and four = x-4

Half the difference of a number and four = [tex]\frac{1}{2}(x-4)[/tex]

Here the quotient of a number x and five is half the difference of a number and four, the equation will be

[tex]\frac{x}{5}=\frac{1}{2}(x-4)[/tex]

Hence, the equation that represents the quotient of a number x, and five is half the difference of a number and four is    [tex]\frac{x}{5}=\frac{1}{2}(x-4)[/tex]

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A copy of the polygon using scale factor of 1/3 is 3 units

A closed, two-dimensional polygon in mathematics is a shape with straight line segments. It does not have three dimensions. A polygon has flat surfaces throughout. A polygon must have three sides at a minimum. Only at its terminal must each side of a line segment cross another line segment. We can quickly determine the geometry of a polygon based on how many sides it has.

Given that,

The original  value is 9

So, the copy of the poly is 1/3

So, the copy of polygon is 9×1/3 is 3

Therefore, the copy of the polygon is 3.

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If each unit on the map's grid represents 30 meters and Kampp 150 is in Dra Abul Naga, which is about 1,900 meters east and 250 meters south of distance from Tutankhamen's tomb,then we have to add approximately 64 units to the x axis to include Dra Abul Naga.

Given that each unit on the map's grid represents 30 meters and Kampp 150 is in Dra Abul Naga, which is about 1,900 meters east and 250 meters south of Tutankhamen's tomb.

We are required to find the number of units to be added to x axis that are needed to include Dra Abul Naga.

1 unit=30 meters

Distance in east lie on x axis=1900

Number of units to be added on x axis=1900/30

=63.33

It is equal to 64 units approximately.

Hence if each unit on the map grid represents 30 meters and Kampp 150 is in Dra Abul Naga, which is about 1,900 meters east and 250 meters south of Tutankhamen's tomb,then we have to add approximately 64 units to the x axis to include Dra Abul Naga.

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To include Dra Abul Naga, 63.33 units and 8.33 units must be added to the x-axis and y-axis, respectively.

A single unit on the map;'s grid represents 30 meters.

Kampp 150 in Dra Abul is 1900 meters east and 250 meters south of Tutankhamun's tomb.

The distance in the east or x-axis is 1900 meters.

Therefore, the number of units to be added to the x-axis will be:

= 1900 meter ÷ 30 meters

= 63.33 units

Similarly, the distance on the y-axis is 250 meters.

Therefore, the number of units that are needed to be added will be:

= 250 meter / 30 meters

= 8.33 units

Hence, the units that need to be added to the x-axis and y-axis to include Dra Abul Naga is 63.33 units and 8.33 units respectively.

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Answer: Cooking time depends on the temperature due to the heat and how long it will stay in the oven or on the stove

Step-by-step explanation: let's say if you cook salmon at 400 degrees for an hour it will change if you do it as 500 degrees the time can be prolonged or shorten depending on the temperature

It is true that the function k(x)= logc x represents a vertical stretch or compression of g.

So,

Then,

Therefore, it is true that the function k(x)= logc x represents a vertical stretch or compression of g.

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Answer:

5cm.

Step-by-step explanation:

All squares have the same length in sides. A square has four sides all of the same length, if one is 5cm the others are aswell. 5cmx4 sides=20cm

The correct option is (H) c=√e/m.

The solution for mass energy equivalence formula e=m c² for the value of c is c = √e/m.

An equation deduced from Einstein's Special Theory of Relativity that expresses the correlation between the mass & energy of mass objects.

Some key features related to the mass energy equivalence are-

As per the given question, the expression is;

=> e = m c²

=> c² = e/m

Now, taking square root of both sides.

=> c=√e/m

Therefore, the value of the c derived from the mass energy equivalence formula e=m c² is  c=√e/m.

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A triangular prism is 1/2 the volume of a rectangular prism with the same dimensions. V = BH (Base x Width) of a triangular its 1/2BHThe base is 10 x 5, 50 is the base.The height is 6, and that would be 300 / 2 since it's triangular so its 150 inches squared for one. Since there are 2.The total volume is 300 inches squared.

The probability that the teacher selected at random will watch television and recommend it to the learners is 8/38

Given details in this question are as follows :

the probability that the teacher watches television and sees the commercial between the hours of 15:00 and 06:00 is 4 /13.

let the probability that the teacher watches television and sees the commercial between the hours of 15:00 and 06:00 be x

if a teacher sees the commercial then the probability that the teacher recommends it to the learners is 26/38.

let the  teacher sees the commercial then the probability that the teacher recommends it to the learners is y

Dependent events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.

it is clear that both events are dependent events.

the product of the probability will be our answer

P(x and y ) = probability of x * probability of y

=4/13*26/38

= 8/38

The probability that the teacher selected at random will watch television and recommend it to the learners is 8/38.

Probability is a type of ratio where we compare how many times an outcome can occur compared to all possible outcomes.

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Answer:

127˚

Step-by-step explanation:

180-53=127

supplementary angles

Answer:  he is 115 metters above sea level

Step-by-step explanation:

The line segments in case 2 and case 4 has a bisector.

We are given 4 different sets of line segments.

We need to tell which of them has a bisector.

Now, for the case 1:

We can see that is divided in two parts of lengths 21 units and 19 units which are not equal.

So, it does not has a bisector.

Now, for the case 2:

We can see that is divided in two parts of lengths 20 units and 20 units which are equal.

So, it has a bisector.

Now, for the case 3:

We can see that is divided in two parts of lengths 10 units and 30 units which are not equal.

So, it does not has a bisector.

Now, for the case 4:

We can see that is divided in two parts of lengths 20 units and 20 units which are equal.

So, it has a bisector.

Therefore, the line segments in case 2 and case 4 has a bisector.

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Answer:

Step-by-step explanation: When solving the perimeter for a quadrilateral you will add up all the sides and the all sides are the same so when you figure out the number from one side you will figure the rest of it.  I think that one of the sides is 10 I'm not really sure but you you should the little square outside the shape and it should give you the answer to it.

I don't know if it is 10 or not and also the formula is P=a+b+c+d

Hope this advice helps :D

Answer:

a)  y = -441.105 + 0.2232x

b)  2043

Step-by-step explanation:

Correlation measures how closely two variables are linked.

If two variables are correlated, you can draw a line of best fit on the scatter plot.

Plot the points from the table where:

(See attached graph).

We can see that the points lie close to a straight line. Therefore, a line of best fit with a positive slope can be drawn, since the two variables are positively correlated.

Linear regression is a method for finding the equation of a line of best fit on a scatter plot.

The regression line of y on x:

[tex]y = a + bx[/tex]

where a = y-intercept and b = slope

We cannot find the y-intercept from inspection of the scatter plot (attached) since we would need to extend the x-axis to thousands of years.

Therefore, to find the regression equation, use a graphing calculator:

[tex]y=-441.105+0.2232x[/tex]

To find the approximate year the movie ticket price will reach $15, substitute y = 15 into the equation and solve for x:

[tex]\implies -441.105+0.2232x=15[/tex]

[tex]\implies 0.2232x=456.105[/tex]

[tex]\implies x=2043.481...[/tex]

Therefore, the approximate year the movie ticket price will reach $15 is during 2043.

Note:

For this problem, we have used the line of best fit (regression line) to predict a value of that is outside the range of the original data. When using values outside the range to predict corresponding values, this is called extrapolation. These predictions can be unreliable because there is no evidence that the relationship described by the regression line is true for all values of x. Therefore, caution should be applied in these cases.

Answer:

500 possibles

Step-by-step explanation:

First number   2      <==== one choice

Second number 10 choices  ( 0 - 9 )

Third number 10 choices   ( 0 - 9)

Fourth number 5 choices ( 1,3,5,7,9 )

1 x 10 x 10 x 5 = 500 possibles

Answer:

390,211 adults lives in the city

Step-by-step explanation:

Simple equation

since 538,381 were the total amount of both children and adults then 148,170 was the amount of children in the population therefore we will write our equation like this in order to find adults

➟ TP - TC = TA

where,

➟ 538,381 - 148,170 = TA

Calculate

➟ TA = 390,211

∴ 390,211 adults lives in the city

Answer:

(7.5,3)

Step-by-step explanation:

(  (x_1 + x_2)/2, (y_1 + y_2)/2  ) <--Midpoint formula

(5,5) and (10,1) are where you take the x and y values from. The x_1 and y_1 values come from (5,5) and x_2 and y_2 from (10,1).

this gives you (  (5+10)/2, (5+1)/2  )

=( 15/2, 6/2 )

=(15/2, 3)

= or (7.5, 3)

Both bold answers equal the same thing, just depends on if your teacher is asking for it in mixed number form or decimal form.

By the way, I realize it's confusing so the _ is just to show that the following number would be subscript (brainly won't let me show it, so I suggest searching it online if you are still confused..)

Hope this helps!

Answer:

D.) 68 ft²

Step-by-step explanation:

8×(10-2) + 2×2

8×8 + 4

64 + 4

68 ft²

A solution that is real in its nature is called the real solution of that equation.

X + 5 = 0

We can solve the above equation as,

X + 5 = 0

X = -5

Now, if we plug the value of X into the equation,

X + 5 = 0

-5 + 5 = 0

0 = 0

The solution is real and is true for this equation.

While the solution of an algebraic expression solution is imaginary if it is the square root of a negative number. It involves the imaginary unit iota.

The complete solution of the expression is given below in the picture.

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The amount that Roxana has left is $7560.

Total Amount = $12000

She spent 12% on meat and 25% on vegetables.

Therefore, the amount left will be:

= (100 - 12% - 25%) × 12000

= 63% × 12000

= 63/100 × 12000

= 0.63 × 12000

= $7560

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The appropriate matching of the expression will be:

5.2 × 10 = 52

5.2 × 10² = 520

5.2 × 10³ = 5200

5.2 × 10^-1 = 0.52

It should be noted that the information illustrated is simply about the power on the numbers. This was illustrated on the information.

In this case, it should be noted that the thing to f is to multiply the numbers or count the number of zeros and illustrate on the numbers.

Therefore, the appropriate matching of the expression will be:

5.2 × 10 = 52

5.2 × 10² = 520

5.2 × 10³ = 5200

5.2 × 10^-¹ = 0.52

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The value of the expression 3√63 +√28 is 5√7 or 13.228.

A number is a fundamental mathematical unit. For counting, measuring, and comparing quantities, we utilize numbers. A set of symbols, or numerals, used to represent numbers is known as a number system.

A square root is a factor of a number that yields the original number when multiplied by itself.

Consider the expression 3√63 +√28,

Let's assume x = 3√63 +√28

Now,

63 = 3 × 21 = 3 × 3 × 7

28 = 2 × 14 = 2 × 2 × 7

Therefore,

x = 3√63 +√28

x = √ [ 3 × 3 × 7 ] + √ [ 2 × 2 × 7 ]

x = ( √ 3² ) × ( √7 ) + ( √2² ) × √7

x = 3√7 + 2√7

x = ( √7 ) × [ 3 + 2 ]

x = ( √7 ) × 5

x = 5√7

x = 5 × 2.6457

x = 13.228

Hence, the value of 3√63 +√28 is equal to 13.228.

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The equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The points are given as

(-4, 2) and (12, 6)

Calculate the slope of the points using

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

So, we have

m = (6 - 2)/(12 + 4)

Evaluate

m = 0.25

The equation is then calculated as

y = m(x - x1) + y1

Where

(x1, y1) = (-4, 2)

So, we have

y = 0.25(x + 4) + 2

Expand

y = 0.25x + 1 + 2

Evaluate

y = 0.25x + 3

Hence, the equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3

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Step-by-step explanation: I hope this helps.

Answer:

Answer:

1. 4

2. 65

3. 4

4. 53

5. 14

Answer:

1.: 4 songs

2.: 65 dollars

3.: 4 cookies

4.: 53 cards

5.: 14 degrees

Step-by-step explanation:

1.: Split 40 songs evenly between 10 days. 40 divided by 10 equals 4.

2.: 160, the needed amount, minus 95, the amount already had, equals 65. 95+65=160.

3.: Split 32 cookies evenly between 8 people. 32 divided by 8 is 4.

4.: 200-147=53, so 147+53=200.

5.: -11-14=-25. Subtracting from a negative increases its absolute value, but it remains negative.

The time it would take Amal to run 1 mile if he maintains the pace is 12 minutes

From the question, we are to determine how long it would take Amal to run 1 mile

From the given information,

Amal can run 1\8 mile in 1 1\2 minutes.

First, we will calculate Amal's speed

Using the formula,

Speed = Distance/ Time

Then,

Amal's speed = 1/8 ÷ 1 1/2

Amal's speed = 1/8 ÷ 3/2

Amal's speed = 1/8 × 2/3

Amal's speed =1/12 miles/minute

Now, we will determine how long it would take him to run 1 mile

Time = Distance/ Speed

Time = 1 ÷ 1/12

Time = 1 × 12/1

Time = 12 minutes

Hence, the time it would take Amal to run 1 mile if he maintains the pace is 12 minutes

Here is the complete question:

Amal can run 1\8 mile in 1 1\2 minutes. If Amal can maintain that pace, how long will it take him to run 1 mile.

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Answer:

if 312four + 52p = 96 find the value of p

Answer: 4, 28, 12, 20

Step-by-step explanation:

Let the numbers be x, 7x, 3x, 5x.

Then, because of their mean,

[tex]\frac{x+7x+3x+5x}{4}=16\\\\16x=64\\\\x=4[/tex]

So, the numbers are 4, 28, 12, 20.