Rectangle ABCD is similar to rectangle LMNO Which series of transformations correctly maps rectangle ABCD to rectangle LMNO?

Answer:

15

Step-by-step explanation:

70% of the total strength of class = 35

therefore 100% of the strength of class ( total student in grade 5) = 35/70*100 = 50.

So out of 50 students  35 students want the basket ball court in the school to be renovated. This means there are 50-35 = 15 students who do not want the basket ball court in the school to be renovated

The glass panel measures 24 inches in width by 20 inches in length. The window has perimeter an 8-foot outside frame. The x value is 1 inches.

Given that,

Windows A wooden frame that is x inches wide is placed around a rectangular pane of glass to create a window.

The glass panel measures 24 inches in width by 20 inches in length. The window has perimeter an 8-foot outside frame.

We have to find the x value.

We can say that

perimeter=2(length + breath)

First convert perimeter into inches

1 feet =12 inches

8 feet =96 inches

Now,

96=2((20+2x)+(24+2x))

96=2(4x+44)

96=8x+88

8x=96-88

8x=8

x=1

Therefore, the x value is 1 inches.

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Answer:

Step-by-step explanation:

the degree of 8^8t

16777216t : the degree of the mnonmial is 1, because the degree of the variable is 1

Answer: 21

Step-by-step explanation: at the bottom it said "Y-intercepts have an x value of 0." and when we look at the numbers, y is at 21 when x is at 0.

Answers:

So the solution is (x,y) = (4, -1)

=============================================================

Work Shown:

6x + 7y = 17

6x + 7( y ) = 17

6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11

6x - 21x + 77 = 17

-15x = 17-77

-15x = -60

x = -60/(-15)

x = 4

We'll use this x value to find y

y = -3x+11

y = -3(4)+11 ... replace x with 4

y = -12+11

y = -1

We have  x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)

------------------------

To check the solution, we plug x = 4 and y = -1 into each equation

Plugging the values into the first equation leads to...

y = -3x+11

-1 = -3(4)+11

-1 = -1

This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.

We'll need to verify the second equation as well.

6x + 7y = 17

6(4) + 7(-1) = 17

24 - 7 = 17

17 = 17

We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.

Answer:

Step-by-step explanation:

7/8 can be expressed as 6/8 in three ways:

Cross-multiplication: Multiplying both the numerator and denominator of 7/8 by the same number such that the numerator becomes 6.

7/8 = (7 x (8/6)) / 8 = 6/6

Simplifying the fraction: Dividing both the numerator and denominator by the greatest common factor.

7/8 = (7 ÷ 1) / (8 ÷ 1) = 7/8

Decimal representation: Converting the fraction to a decimal and then rounding to the nearest whole number.

7/8 = 0.875 which is approximately equal to 6/8.

The given statement "In one scene in 8 1/2, Guido steps onto an elevator that takes on the characteristics of a confession booth" is True.

What is 8 1/2?8 1/2 is an Italian drama movie which was released in the year 1963. It was directed by Federico Fellini. The movie is widely recognized as a highly influential classic of world cinema. The story is about a renowned filmmaker named Guido Anselmi. He is in the middle of making a film but is struggling to come up with a plot for it. In one scene of the movie, Guido steps onto an elevator that takes on the characteristics of a confession booth.MAIN ANS:True, In one scene in 8 1/2, Guido steps onto an elevator that takes on the characteristics of a confession booth.The elevator in 8 1/2 takes on the characteristics of a confession booth as a result of its setting and characters. The elevator setting in the film emphasizes that Guido is in a confessional box and is confessing his sins. It was a unique way of depicting Guido's guilt. The way the elevator shook and rattled, making him feel like he was in a confessional box, was symbolic of how he felt. It was as if he was being taken to a higher power who was listening to him.

The scene emphasizes the religious imagery in the movie. It allows us to gain insight into Guido's psyche and the struggles he was having. The religious imagery in the movie suggests that Guido is trying to connect with a higher power to overcome his guilt. The scene also shows the extent to which he is willing to go to gain clarity.

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The correct statement is

Option(A). The average weight of the new offensive line is 304.

Average:

The ratio of the sum of the observation and the number of observations in a particular set is the mean value or average of the data.

=> Average = [Sum of observations ]/ Number of observations

=> Sum of observation = Average × Number of observations

Here we have

The average weight for the five starting offensive linemen of the Charlotte Panthers is 300 pounds.  

The heaviest starter gets injured and his replacement weighs 20 pounds more than the injured starter.

By the given formulas

Total weight of the 5 linemen = 5 × 300 = 1500

Given that the heaviest starter was replaced with a stater who weighs 20 pounds more than the injured starter

After replacement, the total weight of 5 linemen = 1500 + 20 = 1520  

The average weight of the 5 line men = [1520]/5 = 304  

Therefore,

The correct statement is

Option(A). The average weight of the new offensive line is 304.

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Answer:

B

Step-by-step explanation:

Just did it

Answer:

b

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

The friends have the bus from 5:00 PM to 3:00 AM, so:

3 + 18 − 5 = 15 − 5 = 10 hours.

The cost of renting the bus will be:

$300 + $18 × 10 = $300 + $180 = $480.

The thirty-six students will contribute $12 each for a total of:

$12 × 36 = $432.

So Mr. Jones will pay:

$480 − $432 = $48.

Hope this helped :)

The integers that are closest to the number in the middle in the inequality x < √82 < y are x = 9 and y = 11.

To find the integers x and y that satisfy the inequality x < √82 < y, we need to find the two integers that are closest to the square root of 82.

First, we know that the perfect square that is less than 82 is 81, which is equal to 9². Therefore, we can say that 9 < √82.

Next, we need to find the next closest integer to the square root of 82. To do this, we can calculate the square of 10 and the square of 11, which are 100 and 121, respectively. Since 82 is closer to 81 than to 100, we can say that √82 < 10.5.

Therefore, x = 9 and y = 11 are the integers that satisfy the inequality x < √82 < y.

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The question is -

Complete the following statement. Use the integers that are closest to the number in the middle. x < √82 < y, find x and y.

Answer:

222! thats your answer!

Step-by-step explanation:

Using the above conditions ; If m ∠LOM = m ∠JKI,  if m ∠MON = m ∠IKH it is proved below that m ∠LON = m ∠HKJ as are congruent angles.

An angle is known to be Congruent if its angles do have equal measure."

Note that question, In the said figure of the angles (image attached),

m ∠LOM = m ∠JKI  (congruent angles)              taken as 1      

m ∠MON = m ∠IKH  (congruent angles)             taken as 2  

The one should sum up both the side angle  of m ∠MON in (1) we obtain;

m ∠LOM + m ∠MON = m ∠JKI + m ∠MON

Then one should replace angle  m ∠MON = m ∠IKH from (eqn. 2)  on right hand side and then it will be:

m ∠LOM + m ∠MON = m ∠JKI + m ∠IKH      taken as (3)

Then:

m ∠LOM + m ∠MON = m ∠LON  ( M is said to be the interior point of ∠LON)    taken as (4)

Since m ∠JKI + m ∠IKH = m ∠HKJ  ( I is said to be the interior point of ∠HKJ)            taken as number (5)

Using Number (3) , (4) and (5)  in the image attached, we obtained:

m ∠LON = m ∠HKJ  (Congruent angles)

Therefore, Using the above conditions ; If m ∠LOM = m ∠JKI,  if m ∠MON = m ∠IKH it is proved below that m ∠LON = m ∠HKJ as are congruent angles.

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Answer:

The number of times a variable appears in a date set is called a constant.

The coordinates of the image of the triangle ABC after the dilation with center (0,0) and a scale factor of 1/2 are:

A' = (1/2 * x₁, 1/2 * y₁)

B' = (1/2 * x₂, 1/2 * y₂)

C' = (1/2 * x₃, 1/2 * y₃)

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

To find the image of triangle ABC after a dilation with center (0,0) and a scale factor of 1/2, we need to multiply the coordinates of each vertex by the scale factor.

Let's suppose that the coordinates of the vertices of the original triangle ABC are:

A = (x₁, y₁)

B = (x₂, y₂)

C = (x₃, y₃)

Then, the coordinates of the image of A, B, and C after the dilation are:

A' = (1/2 * x₁, 1/2 * y₁)

B' = (1/2 * x₂, 1/2 * y₂)

C' = (1/2 * x₃, 1/2 * y₃)

Therefore, the coordinates of the image of the triangle ABC after the dilation with center (0,0) and a scale factor of 1/2 are:

A' = (1/2 * x₁, 1/2 * y₁)

B' = (1/2 * x₂, 1/2 * y₂)

C' = (1/2 * x₃, 1/2 * y₃)

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a0 is the regression term that describes the constant or intercept in the linear regression equation.

In a simple linear regression model, the equation takes the form of y = a0 + a1x + e1, where y is the dependent variable (or response variable), x is the independent variable (or predictor variable), a0 is the intercept or constant term, a1 is the coefficient of the independent variable, and e1 is the error term.

The intercept term, a0, represents the value of the dependent variable when the independent variable is zero. For example, in a linear regression model that predicts salary based on years of experience, the intercept would represent the starting salary for someone with zero years of experience. The intercept is an important component of the regression equation because it allows us to make predictions for values of x that are outside the range of our observed data.

The coefficient, a1, represents the change in the dependent variable for each one-unit increase in the independent variable. In the salary example, the coefficient would represent the average increase in salary for each additional year of experience.

Both the intercept and coefficient are estimated from the data using methods such as least squares regression. Once these values are estimated, we can use them to make predictions for new values of x.

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Answer:

x^33   y^0       x is to the 33   y is to the 0

Step-by-step explanation:

Answer:

^33

y^0

Step-by-step explanation:

First simplify x^8y/x^-39

Which then gets you

x^47 y^-26'/x^14 y^-5 y^-21

Then you simplify x^47/x^14

Which gets you

x^33 y^26/y^-5 v^-21

Then simplify y^-26/y^-5

Which gets you afterwards

x^33/y^21 y^-21

Then you just simplify the numbers that are left x^33/y^21 y^-21

Then you get

X^33

(and since x^33 equals y^0 then)

Y^0

Hope this helped!

Answer:

undefined

Step-by-step explanation:

( -4, 6) & (-4, -2)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-2 - 6) / (-4 -  (-4))

Simplify the parentheses.

= (-8) / (-4 + 4)

= (-8) / (0)

Simplify the fraction.

-8/0

= undefined

This slope is undefined because you cannot divide a number by 0. These points also fall on a vertical line, which has an undefined slope.

Hope this helps!

To evaluate the integral ∬R (2x + 3y)² dA over the given region R, which is the triangle with vertices at (-5, 0), (0, 5), and (5, 0), we need to set up the integral using appropriate bounds.

Since R is a triangular region, we can express the bounds of the integral in terms of x and y as follows:

For y, the lower bound is 0, and the upper bound is determined by the line connecting the points (-5, 0) and (5, 0). The equation of this line is y = 0, which gives us the upper bound for y.

For x, the lower bound is determined by the line connecting the points (-5, 0) and (0, 5), which has the equation x = -y - 5. The upper bound is determined by the line connecting the points (0, 5) and (5, 0), which has the equation x = y + 5.

Therefore, the integral can be set up as follows:

∬R (2x + 3y)² dA = ∫₀⁵ ∫_{-y-5}^{y+5} (2x + 3y)² dx dy

Now, we can evaluate the integral using these bounds:

∬R (2x + 3y)² dA = ∫₀⁵ ∫_{-y-5}^{y+5} (2x + 3y)² dx dy

                    = ∫₀⁵ [ (2/3)(2x + 3y)³ ]_{-y-5}^{y+5} dy

                    = ∫₀⁵ [ (2/3)((2(y + 5) + 3y)³ - (2(-y - 5) + 3y)³) ] dy

                    = ∫₀⁵ [ (2/3)(5 + 5y)³ - (-5 - 5y)³ ] dy

Evaluating this integral will require further calculation and simplification. Please note that providing the exact answer requires performing the necessary algebraic manipulations.

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The function that describes the data in the table is y = 2x + 3. The given table represents a set of points (x, y), where the value of x is given in the first row and the value of y is given in the second row.

To find the function that describes the data in the table, we need to observe the pattern in the data. We can notice that the value of y is always 3 more than twice the value of x. In other words, y = 2x + 3.

We can also verify this by substituting the values of x in the given equation and checking if we get the corresponding values of y. For example, when x = 0, y = 2(0) + 3 = 3, which matches the first value of y in the table. Similarly, when x = 2, y = 2(2) + 3 = 7, which matches with the third value of y in the table.

Therefore, the function that describes the data in the table is y = 2x + 3.

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Answer:

a)  \(AE=4\sqrt{3}\)

b) \(A_s=16(4\sqrt{3}-\pi)\ cm^2\)

Step-by-step explanation:

Lines in a Circle

(a)

Points AEO form a right triangle, which hypotenuse is the radius of the larger circle (8 cm) and one of its legs is the radius of the smaller circle (4 cm).

Thus, the distance AE is calculated by using the Pythagora's Theorem:

\(AE^2=8^2-4^2\)

\(AE^2=64-16=48\)

\(AE=\sqrt{48}\)

Since 48=16*3:

\(AE=\sqrt{16}\sqrt{3}\)

\(\boxed{AE=4\sqrt{3}}\)

(b)

The shaded area is the area of the rectangle ABCD minus the area of the smaller circle:

\(A_s=A_r-A_c\)

The rectangle has a length of twice AE:

\(L=8\sqrt{3}\ cm\)

And a width equal to the diameter of the smaller circle:

\(W=8\ cm\)

The area of the rectangle is:

\(A_r=8\sqrt{3}\ cm*8\ cm\)

\(A_r=64\sqrt{3}\ cm^2\)

The area of the smaller circle is:

\(A_c=\pi\ r^2\)

\(A_c=\pi\ 4^2\ cm^2\)

\(A_c=16\pi\ cm^2\)

Thus, the shaded area is:

\(A_s=(64\sqrt{3}-16\pi)\ cm^2\)

Factoring:

\(\boxed{A_s=16(4\sqrt{3}-\pi)\ cm^2}\)

a. the length of AE is: 6.9 cm

b. the shaded area is: 60.13 sq. cm.

Recall:

a. Find AE:

Considering right triangle AOE, apply the Pythagorean Theorem to find AE, given that,

EO = 4 cm

AO = 8 cm

Thus:

AE = √(AO² - EO²)

AE = √(8² - 4²)

AE = 6.9 cm

b. Shaded Area = Area of rectangle - area of circle

Area of rectangle = length × width = 2(6.9) × 2(4) = 110.4 sq. cm

Area of circle = π(4)² = 50.27 sq. cm

Shaded Area = 110.4 - 50.27 = 60.13 sq. cm.

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Answer:

The width would be 8 inches

Step-by-step explanation:

50% of 16 is 8

Answer:

3x

Step-by-step explanation:

6 + 3(x-2)

6 + (3x -6)

6 + 3x -6

6-6 + 3x

3x

Answer: 3x

Step-by-step explanation: distribute 6 + 3(x - 2)

                                                               6 + 3x - 6

subtract the numbers 6 + 3x - 6 = 3x

Answer:

54

Step-by-step explanation:

a. The probability is 4/10 or 0.4.

b. The combination formula: C(10, 5) = 252.

c. C(6, 3) = 20.

d. C(4, 2) = 6.

e. The probability is 120/252 ≈ 0.4762.

a. To calculate the probability that the person drawing the names is a Democrat, we divide the number of Democrats (4) by the total number of council members (10). Therefore, the probability is 4/10 or 0.4.

b. When there are no restrictions on the composition of the committee, we can calculate the number of ways it can be formed using combinations. Since there are 10 council members and we need to choose 5, the number of ways the committee can be formed is given by the combination formula: C(10, 5) = 252.

c. To determine the number of ways to choose 3 Republicans, we calculate the combination of 6 Republicans taken 3 at a time: C(6, 3) = 20.

d. Similarly, to calculate the number of ways to choose 2 Democrats, we use the combination formula with the 4 Democrats: C(4, 2) = 6.

e. To find the probability of selecting 3 Republicans and 2 Democrats, we need to calculate the total number of favorable outcomes and divide it by the total number of possible outcomes. The number of ways to select 3 Republicans from 6 and 2 Democrats from 4 is given by the product of their respective combinations: C(6, 3) * C(4, 2) = 20 * 6 = 120. The total number of possible outcomes is C(10, 5) = 252. Therefore, the probability is 120/252 ≈ 0.4762.

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Answer:

Did we mention that he's 13 years old?

Step-by-step explanation:

because he inspire alot of people by driving a racecar 80 mph that is fast for a kid at his age.

Answer:

Did we mention that he's 13 years old?

Step-by-step explanation:

Did this in middle school 1 year ago it right

Answer:

A; -8

Step-by-step explanation:

Well, the cube root of 512 is just 8, and because the root is an odd number, we can allow negative numbers as the answer instead of imaginary numbers. Therefore the real cube root of -512 is just -8

Answer:

x = 1/2

Step-by-step explanation:

28x + 1 = 32x - 1 <== subtract 28x from both sides

-28x      -28x

1 = 4x - 1 <== add 1 to both sides

+ 1      + 1

2 = 4x <== divide both sides by 4 to isolate the variable

/4   /4

1/2 = x

Hope this helps!

\( \Large{\boxed{\sf x = \dfrac{1}{2} }} \)

\( \\ \)

Given equation:

\( \sf 28x + 1 = 32x - 1 \)

\( \\ \)

Subtract 28x from each side :

\( \sf 28x + 1 - 28x = 32x - 1 - 28x \\ \\ \sf 1 = 4x - 1 \)

\( \\ \)

Add 1 to both sides:

\( \sf 1 + 1 = 4x \\ \\ \sf 2 = 4x \)

\( \\ \)

Divide both sides by 4:

\( \sf \dfrac{2}{4} = \dfrac{4x}{4} \\ \\ \\ \boxed{\boxed{\sf x = \dfrac{1}{2} }} \)

\( \\ \\ \)

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