. Your friend claims that it is not possible to have a glide reflection if you have one translation followed by two reflections. Is your friend correct? Explain your reasoning.

Answer:

x = 4 + 3/2y

y = -8/3 + 2/3x

1. Finding X

2x-3y=8

2x=8+3y

x+4+3/2y

2. Finding Y

2x-3y=8

-3y=8-2x

y=-8/3+2/3x

Answer:

The expression 13x - 7 is equivalent to 13x + (-7). This is because the subtraction of a negative number is the same as the addition of a positive number.

For example, if we have the expression 13x - 7, we can rewrite it as 13x + (-7) as follows:

13x - 7 = 13x + (-7)

Therefore, the expression that is equivalent to 13x - 7 is 13x + (-7).

edit: It is the same as 13x + (-7)

The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

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Zelma is 28 years old and her son is 10 years old. We brought this conclusion with the help of algebra.

Let x = son's age now

Then, x+18 = Zelma's age now

x-1 = son's age one year ago

x+17 = Zelma's age one year ago

x+17 = 3(x-1)

x+17 = 3x-3

   2x = 20

     x = 10

Algebra is the study of variables and the rules for manipulating these variables in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation of variables as if they were numbers and is therefore essential in all applications of mathematics.

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Hey there!

Let's solve your equation step-by-step.

\(\fbox{9−7y(7)=6+5−3y−416}\)

Step 1: Simplify both sides of the equation.

\(\fbox{9−7y(7)=6+5−3y−416}\)

\(\fbox{9+−49y=6+5+−3y+−416}\)

\(\fbox{−49y+9=(−3y)+(6+5+−416)}\)(Combine Like Terms)

\(\fbox{−49y+9=−3y+−405}\)

\(\fbox{−49y+9=−3y−405}\)

Step 2: Add 3y to both sides.

\(\fbox{−49y+9+3y=−3y−405+3y}\)

\(\fbox{−46y+9=−405}\)

Step 3: Subtract 9 from both sides.

\(\fbox{−46y+9−9=−405−9}\)

\(\fbox{−46y=−414}\)

Step 4: Divide both sides by -46.

\(\fbox{−46y/−46 = −414/−46}\)

\(\fbox{y=9}\)

Answer:

\(\fbox{y=\fbox{9}}\)

By using multiplication, it can be calculated that

3 \(\times\) 9423 = 28269

What is multiplication of integers?

At first it is important to know about integers

Integers are those numbers which has no fractional part. Integer can be positive, negative and zero is also an integer.

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.

Here the given multiplication is 3 \(\times\) 9423

3 \(\times\) 9423 = 28269

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Mia, this is the solution to the exercise:

Let's recall the formula of the area of a rhombus:

• Area = (Diagonal 1 * Diagonal 2)/2

Now, let's also recall the formula of the area of a kite:

• Area = (Diagonal 1 * Diagonal 2)/2

Thus, the correct answers are:

• B. Kite

• D. Rhombus

Answer: 8

Step-by-step explanation: If we can define $ as k$, this would mean /frac32 would be K+($6). So, the answer is 8

To find the surface area of a regular pyramid, we need to use the formula: Surface Area = (1/2) × Perimeter of Base × Slant Height + Base Area. The surface area of the regular pyramid is 60 cm².

First, we need to find the perimeter of the base. Since the base of the pyramid is a regular polygon, we can use the formula:

Perimeter of Base = Number of Sides × Length of Each Side

The problem doesn't specify the number of sides of the base, so let's assume it is a square. In that case, the perimeter of the base would be:

Perimeter of Base = 4 × 6 cm = 24 cm

Next, we need to find the slant height of the pyramid. The slant height is the height of each triangular face. We can use the Pythagorean theorem to find it:

Slant Height = √(Height² + (1/2 Base Length)²)
Slant Height = √(2² + (1/2 6 cm)²)
Slant Height = √(4 + 9)
Slant Height = √13 cm

Now we can use the formula to find the surface area:

Surface Area = (1/2) × Perimeter of Base × Slant Height + Base Area
Surface Area = (1/2) × 24 cm × √13 cm + 6 cm × 6 cm
Surface Area = 12√13 cm² + 36 cm²
Surface Area = 12√13 cm² + 36 cm² ≈ 74.16 cm²

Therefore, the surface area of the regular pyramid is approximately 74.16 cm².

To find the surface area of a regular pyramid, we need to calculate the area of the base and the lateral faces. In the given information, the side length of the base is 6 cm and the slant height is 2 cm.

Step 1: Calculate the area of the base.
Since it's a regular pyramid, the base is a square. The area of a square is side^2.
Area of base = 6 cm * 6 cm = 36 cm².

Step 2: Calculate the area of one lateral face.
The lateral faces are triangles, with the base being the side length of the square base (6 cm) and the height being the slant height (2 cm). The area of a triangle is 0.5 * base * height.
Area of one lateral face = 0.5 * 6 cm * 2 cm = 6 cm².

Step 3: Calculate the total area of the lateral faces.
Since it's a regular pyramid, there are 4 lateral faces. Multiply the area of one lateral face by 4.
Total area of lateral faces = 4 * 6 cm² = 24 cm².

Step 4: Add the area of the base and the total area of the lateral faces.
Surface area = Area of base + Total area of lateral faces
Surface area = 36 cm² + 24 cm² = 60 cm².

The surface area of the regular pyramid is 60 cm².

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Answer:

y=3x-7

Step-by-step explanation:

Choose 2 points.

(3, 2) and (4, 5)

Use slope formula.

y2-y1/x2-x1

5-2/4-3=

=3/1=3

Slope is 3.

The y-intercept is when x is 0. The y-intercept was already given. It is -7.

Y-intercept is -7.

Now you can use the slope-intercept formula.

y=mx+b

m=slope=3

b=y-intercept=-7

y=3x-7

Hope this helps!

Please mark as brainliest if correct!

Answer:

1.6×10^-12..............

Answer:

Step-by-step explanation:

12-23=-11

negative 11

Answer:

-11

Step-by-step explanation:

23 - 12 = 11

if you switch them around you get -11

Answer:

10 grams

Step-by-step explanation:

15/5  = 3 half lives

80/2³ = 10 grams

Answer:

1273

Step-by-step explanation:

C) the answer on edg is C.

Answer:

(0.5, 8.5)

Step-by-step explanation:

use this formula ((x1+x2/2), (y1+y2/2)) if you use desmos graphing calculator and you type this formula in, all you have to do it put in the correct numbers and you get your midpoint.

Hope this helped :)

The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)

We have given that, the points (−5,13) and (6,4)

We have to determine the midpoints

((x1+x2/2), (y1+y2/2))

x1=-5,x2=6,y1=13 and y2=4

-5+6/2=1/2=0.5

and next is,

13+4/2=17/2=8.5

The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)

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The equation of the line tangent to the graph of y = cos(x) at x = π/2 is y = -x + π/2. The correct option is C. y = -x + π/2.

To find the equation of the line tangent to the graph of y = cos(x) at x = π/2, we need to find the derivative of the function and evaluate it at x = π/2. The derivative of y = cos(x) is given by dy/dx = -sin(x).

Now, let's evaluate the derivative at x = π/2:

dy/dx = -sin(π/2) = -1

The derivative gives us the slope of the tangent line at x = π/2. Therefore, the slope of the tangent line is -1.

Now, we have the slope of the tangent line and the point (π/2, cos(π/2)) on the line. Using the point-slope form of a line, y - y1 = m(x - x1), where (x1, y1) is a point on the line, we can write the equation of the tangent line:

y - cos(π/2) = -1(x - π/2)

Since cos(π/2) = 0, the equation simplifies to:

y = -x + π/2

Therefore, the equation of the line tangent to the graph of y = cos(x) at x = π/2 is y = -x + π/2.

Hence, the correct option is C. y = -x + π/2.

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The relationship is non-existent and positive about the plot in terms of the relationships between the two variables.

A scatter plot is a graph that compares two different sets of data by plotting them as points on a graph. A scatter plot is utilized to investigate the degree of correlation between two different data sets. The points' placement on a scatter plot implies a correlation between the two data sets that can be classified as positive, negative, or non-existent.

The following statements are true about the plot in terms of the relationships between the two variables:There is no association between music and living spaces.Therefore, the answer is: non-existent.The majority of students who play an instrument live off-campus.Therefore, the answer is: Positive.There is no association between the Northside and playing an instrument.Therefore, the answer is: Non-existent.

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The solution of the system of equations using Cramer's rule is x = 37/39 and y = 9/39.

The solution of the system of equations using Cramer's rule is calculated as follows;

The given equations are as follows;

9x - 2y = -9

-3x - 8y = 1

The determinant of the coefficient matrix is calculated as;

D = [9      -2]

      [-3     -8]

D = -8(9) - (-3 x - 2)

D = -72 - 6 = -78

The x coefficient is calculated as;

Dx = [-2      -9]

       [ -8       1]

Dx = -2(1) - (-8 x -9)

Dx = -2 - 72 = -74

The y coefficient is calculated as;

Dy = [9      -9]

       [ -3       1]

Dy = 9(1) - (-3 x -9)

Dy = 9 - 27 = -18

The x and y values is calculated as;

x = Dx/D  = -74/-78 = 74/78 = 37/39

y = Dy/D = -18/-78 = 18/78 = 9/39

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The expected number of radiation induced cancers according to the linear no threshold model of cancer induction is 500

Radiation is defined as the energy that comes from a source and travels through space at the speed of light.

Here we have given that 1,000,000 people are exposed to 10 msv and here we need to find the  the expected number of radiation induced cancers according to the linear no threshold model of cancer induction.

As we all know that the amount of dose depends on the type of x-ray examination. A CT examination with an effective dose of 10 milli Sieverts

And it may be associated with an increase in the possibility of fatal cancer of approximately 1 chance in 2000.

therefore, here we have the total number as 1,000,000

Then the expected number if calculated as,

=> 1,000,000/2000

=> 500

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(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x

(b) The domain of V in interval notation is 0<x<5,

(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773

(d) The maximum volume of the box is 192.421 cm^2.

In the given question,

A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.

(a) We have to express the volume V of the box as a function of x.

If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.

So V = x(10-2x) (20-2x)

V = x(10(20-2x)-2x(20-2x))

V = x(200-20x-40x+4x^2)

V = x ( 200 - 60 x + 4x^2)

V = 4x^3-60x^2+200x

(b) Now we have to give the domain of V in interval notation.

Since the lengths must all be positive,

10-2x > 0 ≥ x < 5 and x> 0

So 0 < x < 5

(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.

We take the derivative of V:

V'(x) = 12x^2-120x+200

Taking V'(x)=0

0 = 4 (3x^2-30x+50)

3x^2-30x+50=0

Now using the quadratic formula:

x=\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

From the equationl a=3, b=-30, c=50

Putting the value

x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)

x= \(\frac{30\pm\sqrt{900-600}}{6}\)

x= \(\frac{30\pm\sqrt{300}}{6}\)

x= \(\frac{30\pm17.321}{6}\)

Since x<5,

So x= \(\frac{30-17.321}{6}\)

x= 2.113

So H = 2.113, W = 5.773, L= 15.773.

d) Now we have to find the maximum volume of the box.

V = HWL

V= 2.113*5.773*15.773

V = 192.421 cm^3

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Answer:

B, 36

Because, a composite number has factors

The others are prime

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

y = -5x + 22 is the equation of our parallel line

Step-by-step explanation:

remember a parallel line will have the same slope.

So let's begin by using the equation above and substituting the points.

\(y = - 5x + b \\ - 8 = - 5(6) + b \\ - 8 = - 30 + b \\ 30 - 8 = b \\ b = 22\)

therefore our parallel line would be

\(y = - 5x + 22\)

Answer:

18,000,000

Step-by-step explanation:

h

lol, easy 00 times 60000 is 18,000,000

The sum of the residuals and what it tells us about the line of best fit is that: −1.06; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

Next, we would determine the predicted values as follows:

At point (4, 6), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(4) − 0.76.

Predicted value, y = 5.08

At point (6, 7), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(6) − 0.76.

Predicted value, y = 8.

At point (7, 8), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(7) − 0.76.

Predicted value, y = 9.46.

At point (9, 13), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(9) − 0.76.

Predicted value, y = 12.38.

At point (10, 14), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(10) − 0.76.

Predicted value, y = 13.84

At point (11, 15), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(11) − 0.76.

Predicted value, y = 15.3.

Now, we can calculate the sum of the residuals as follows:

Sum of the residuals = Sum of actual values - Sum of predicted values

Sum of the residuals = (6 + 7 + 8 + 13 + 14 + 15) - (5.08 + 8 + 9.46 + 12.38 + 13.84 + 15.3)

Sum of the residuals = 63 - 64.06

Sum of the residuals = -1.06.

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Answer:

-1.06

Step-by-step explanation:

i took the test :)

the probability that she will correctly answer

A) 10 questions = 0

b) 9 questions =  0.00003

c) 8  questions =  0.00039

d) 7 questions =0.00309

e) 6 questions = 0.01622

f) 5 questions = 0.0584

Here  the total number of  question is 5+3+2= 10, and every question has four possible answers, for this problem, we will be  using the binomial distribution, the formula  is :

\(C_{n,k}\)\(p^{k}\)\(q^{n-k}\) ,here C is the  combination,  p is the probability of success and q is the probability of having the success

for the given situation :

the p = 1/ 4 whereas, q=3/4

here n =10

now  for different values of  k  which is  the number of successes,  we substitute the know values in the formula, and we get

P(k=10) = 0

P(k=9) = 0.00003

P(k=8) = 0.00039

(P=7)= 0.00309

(P=6)=0.01622

(P=5)= 0.0584

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