Select all of the following transformations that would map ΔCDE to ΔTSR. a reflection over the y-axis a reflection over the line x=5.5 a translation of (x, y)→(x+6, y) a rotation of 90° counterclockwise about the point (5.5, 0) a reflection over the line x=4, and a translation of (x, y)→(x+3, y)

Remember that a segment that connects two points A and B is written as:

AB

Now, assuming that in this case the points B, D, and C are collinear, we can see that C is between B and D.

With this, we can find that BC = 10

Then we can write:

BD = BC + CD

And we know that:

BD = 14

CD = 4

we can replace thest two in the above equation to get:

14 = BC + 4

14 - 4 = BC

10 = BC

We just found that the value of the segment BC is 10.

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Answer:

statement- 3 and 4 are supplements

Reason- m1+m2=m3+m4

Step-by-step explanation:

the radius (r) is 36 inches, the circumference of the circle is C = 2pi r,

or C = 2pi(36 inches) = 72pi inches.

The crease is \($x = \sqrt{15}\text{ cm}$\) long.

Let $x$ be the length of the crease. Then, the visible white area is a triangle with base of length $x$ and height of \($x\sqrt2$.\) The visible black area is also a triangle with the same base and height. Therefore, we have the equation

\($\frac{x^2\sqrt2}{2} = \frac{15}{2}$\)

Solving for $x$, we get

\(x^2=\sqrt{15}\)

Therefore, the crease is \($x = \sqrt{15}\text{ cm}$\) long.

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The mode is 18, the mean is 16.75, and the median is 17.

We have,

Mode:

The mode is the value that appears most frequently in the dataset.

In this case, the mode is 18 because it appears three times, which is more than any other value.

Mean:

The mean is calculated by summing up all the values and dividing by the number of values.

Sum of the values = 18 + 8 + 14 + 23 + 18 + 19 + 18 + 16 = 134

Number of values = 8

Mean = Sum of values / Number of values = 134 / 8 = 16.75

Median:

The median is the middle value when the data is arranged in ascending order.

Arranging the data in ascending order: 8, 14, 16, 18, 18, 18, 19, 23

There are eight values, so the median is the average of the two middle values, which are 16 and 18.

Median = (16 + 18) / 2 = 34 / 2 = 17

Therefore,

The mode is 18, the mean is 16.75, and the median is 17.

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Answer:

2y

Step-by-step explanation:

Answer:

\(2y\)

Step-by-step explanation:

\((x+y)-(x-y)\)

\((x+y)-x+y\) <-- Remember to distribute -1 in the parentheses!

\(x+y-x+y\)

\(2y\)

Answer:

D)

Step-by-step explanation:

In slope-intercept form in order to find the perpendicular equation you change the sign and find its reciprocal.

So in the equation y= -3x+1, the opposite sign of - is + and the opposite of 3 is 1/3

Answer:

She lives in the Southern Hemisphere.

Step-by-step explanation:

When rotating the point D (4, −2) 180° around the origin, the coordinates of the resulting point, D' is (-4, 2).

Rotation of a point that involves 180 degree rotation about a another point is similar to a reflection over the "another point"

Hence we use the method of determining the coordinates of reflection of images to calculate the image of the rotation for this particular situation.

Calculation of rotation coordinates is done as follows

say preimage X(a, b) = image X' (-a, -b)

Hence point D (4, -2) = point D' (-4, 2)

changing of the signs of both coordinates when is about the origin.

The coordinate that will change sign will vary depending on the points or coordinate that is reflected over

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Options

Answer:

(B) DE, EF, and DF are all different lengths, and the slopes of DE and EF opposite reciprocals.

Step-by-step explanation:

Given a triangle DEF

To prove that it is a right scalene triangle, we must show that two of its sides are perpendicular. This is done by showing that the slopes of two adjacent sides are opposite reciprocals.

In a scalene triangle, no side length is equal to another. Therefore, all the sides  DE, EF, and DF are not equal in length.

The correct option is B.

Answer:

B. DE, EF, and DF are all different lengths, and the slopes of DE and EF opposite reciprocals.

Step-by-step explanation:

I took the test and the answer was B

Answer:

4,261.4 engines

Step-by-step explanation:

To find the number of engines that minimize the unit cost, we need to find the minimum value of the function C(x) given by:

C(x) = (Cx - 0.6x)/(2156x + 16664)

where C is a constant representing the fixed costs of manufacturing the engines.

To find the minimum, we need to take the derivative of C(x) with respect to x and set it equal to zero:

C'(x) = (2156Cx - 0.6x(2156 + 16664)) / (2156x + 16664)^2 = 0

Simplifying the equation, we get:

2156Cx - 0.6x(2156 + 16664) = 0

2156Cx = 0.6x(2156 + 16664)

C = 0.6(2156 + 16664)/2156 = 2.2

So the unit cost is minimized when C = 2.2. Substituting this value back into the original equation, we get:

C(x) = (2.2x - 0.6x)/(2156x + 16664)

Simplifying, we get:

C(x) = (1.6x)/(2156x + 16664)

To find the number of engines that minimize the unit cost, we need to find the value of x that makes C(x) as small as possible. We can do this by finding the value of x that makes the derivative of C(x) equal to zero:

C'(x) = (1.6(2156x + 16664) - 2156(1.6x)) / (2156x + 16664)^2 = 0

Simplifying the equation, we get:

1.6(2156x + 16664) - 2156(1.6x) = 0

688x = 2,933,824

x = 4,261.4

Therefore, the number of engines that minimize the unit cost is approximately 4,261.4

Hope this helps!

Answer:

so this uses proportions.

you need to find the side BF which is proportional to the side BF.

You do:

9/6=x/42

and cross multiply

9*42=6*x

378=6x

divide by 6 on both sides

x=63

the answer is 63

Answer:

These are similar triangles.

By changing the length of the base of the corresponding triangle, the 3 interior angles of this triangle remain equal to the original

Therefore, if these triangles are similar, their corresponding sides must give equal ratios to each other:

This means that BF/FE = BC/CD=FC/ED

The total length of line segment BD=BC+CD; BC=6, CD=42; BD=6+42, BD=48

BE=BF+FE; BE=9+?

if BF/FE=BC/CD then 9/BE=6/42; 6/42=3/21 or 1/7. 9/BE=1/7; 1/7=9/BE

1x9=9, 7x9=63

63=BE

Step-by-step explanation:

Answer:

Point 1: (2, 1)

Point 2: (5, 6)

Step-by-step explanation:

In order to graph the line, we need to know where to start. Luckily, we have our first point given. (2, 1)

Point 1: (2, 1)

A trick I know to find point 2 is:

1. rise up the y-axis by 5 points then move to the right 3

or

2.           (2, 1)

          + (3, 5)

            ----------

Point 2:  (5, 6)

I hope this helps!

Answer:

y= 5/3x + -7/3

Step-by-step explanation:

plug in the values into y-mx+b

1=5/3 (2) + b

solve for b

Answer:

Brainliest are appreciated. :D

Step-by-step explanation:

Moe will work for 8.25 weeks while Larry will work for 14 weeks.

Answer:

39200

Step-by-step explanation:

Revenue = number of cameras * cost

R(m) = N(m) * C(m)

        = (50m+600) * (4m^2-15m+45)

The months since may is June July August September = 4 months

R(4) = (50*4+600) * (4*4^2-15*4+45)

        (200+600) * (64-60+45)

           800*49

                39200

Answer:

39,200

Step-by-step explanation:

September is 4 months after may, so m = 4

No. of cameras:

N(4)=50(4)+600 = 800

Cost per camera:

C(4)=4(4²)-15(4)+45 = 49

Total cost:

N × C

800 × 49

39200

the answer is 808.2 ft squared

She can select one freshman and one sophomore in 72 ways.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Phyllis who wants to select one freshman and one sophomore to attend a conference. She teaches 8 freshman and 9 sophomores

Total number of possible combinations are -

C[8,1] x C[9,1]

8!/(7! x 1!) x 9!/(8! x 1!)

8 x 9

72

Therefore, she can select one freshman and one sophomore in 72 ways.

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Answer: 50 inches ÷ 5 inches = 10 tiles

Step-by-step explanation:

1 foot = 12 inches

2 foot = 24 inches

3 foot = 36 inches

4 foot = 48 inches

5 foot = 60 inches

Plus the 2 inches = 50 inches in total

50 inches ÷ 5 inches = 10 squares

Answer:

\(\boldsymbol{2.5}\)

Step-by-step explanation:

Hi student! Let me help you out on this question.

____________

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

 When rounding numbers, it's important that you remember these two rules:

  \(\boldsymbol{3.51=== > 3.5}\) (Rounded to 1 D.P.)

     2. If the digit you are asked to round is followed by a digit

          greater than or equal to 5, you round up. An example is given

             below.

\(\boldsymbol{6.25=== > 6.3}\)

\(\boldsymbol{2.16=== > 2.2}\)

                                     ↪

Now that we know these two rules, let's round the given number.

\(\boldsymbol{2.51=== > ?}\)

The digit we are asked to round to (5) is followed by a number less than 5.

\(\sf{\therefore,\:we\:round\:down.}\)

Thus,

\(\boldsymbol{2.51=== > \not? \:2.5}\). Which is our answer.

Hope that this helped you out! Have a nice day ahead.

Best Wishes!

◈◈-Greetings!-◆◆

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

___________________

In the two functions as the value of V(x) increases, the value of W(x) also increases.

The value of functions, V(x) and W(x) is determined as follows;

for h(-2, 1/4); the value of the functions is calculated as follows;

v(x) = 2ˣ ⁺ ³ = 2⁻²⁺³ = 2¹ = 2

w(x) = 2ˣ ⁻ ³ = 2⁻²⁻³ = 2⁻⁵ = 1/32

for h(-1, 1/2); the value of the functions is calculated as follows;

v(x) = 2ˣ ⁺ ³ = 2² = 4

w(x) = 2ˣ ⁻ ³ = 2⁻⁴ = 1/16

for h(0, 1); the value of the functions is calculated as follows;

v(x) = 2ˣ ⁺ ³ = 2³ = 8

w(x) = 2ˣ ⁻ ³ = 2⁻³ = 1/8

for h(1, 2); the value of the functions is calculated as follows;

v(x) = 2ˣ ⁺ ³ = 2⁴ = 16

w(x) = 2ˣ ⁻ ³ = 2⁻² = 1/4

for h(2, 4); the value of the functions is calculated as follows;

v(x) = 2ˣ ⁺ ³ = 2⁵ = 32

w(x) = 2ˣ ⁻ ³ = 2⁻¹ = 1/2

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Answer:

Value of x = 12 unit

Step-by-step explanation:

Given:

tw = 3x+5

wx = 10

tx = 5x-9

Find:

Value of x

Computation:

tw + wx = tx

3x + 5 + 10 = 5x - 9

3x + 15 = 5x - 9

2x = 24

x = 12

Value of x = 12 unit

Morning Smiles earned a 5% commission and $45,000 in additional selling costs by selling 8,000 coffee makers for $100 each. Admin costs came to $47,50 total cost: $612,500.

For a total of $612,500, the Morning Smiles Coffee Company sold 8,000 stoneware french press coffee machines in March. Each coffee maker cost $100 to purchase. Two other types of selling costs were incurred by the business: commissions equivalent to 5% of the sale price and additional selling costs totaling $45,000. The overall cost of administration was $47,500. By multiplying the $100 sales price by the 8,000 coffee makers that were sold, or $800,000, the entire cost of sales was determined. The commission of $40,000 and the overall selling charges of $45,000 (5% of $800,000) were then subtracted from the total cost of sales to yield a final cost of $612,500.

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Hey! I believe this is the answer you're looking for:

https://brainly.com/question/16663256

Step-by-step explanation:

The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover.

This is written as:

\begin{gathered}V \propto A\\V=kA,$ where k is the constant of proportionality\end{gathered}

(a)5 liters of paint can cover a wall with an area of 75 square feet.

V=5 liters, A=75 square feet.

Substitution into V=kA

5=75k

k=5/75

\text{Constant of proportionality, k}=\dfrac{1}{15}Constant of proportionality, k=151

(b)Substitution of k=\dfrac{1}{15}k=151 into V=kA

The equation relating V and A is:

V=\frac{1}{15}AV=151A

(c)If A=180 Square feet

Volume of paint needed,

\begin{gathered}V=\frac{1}{15} X 180\\=12$ liters\end{gathered}

We have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.

If you are running a regression with 19 input variables and want to choose a model including a subset of those variables, there would be a total of 524,288 possible regression models that can be formed.

To determine the number of possible regression models, we need to consider the power set of the input variables. The power set of a set includes all possible subsets that can be formed from the original set, including the empty set and the set itself. In this case, the power set would represent all the possible combinations of including or excluding the 19 input variables in the regression model.

The number of elements in the power set can be calculated by raising 2 to the power of the number of input variables. Since we have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.

It's important to note that while there are a large number of possible regression models, not all of them may be meaningful or useful in practice. Selecting the most appropriate subset of variables for a regression model typically involves considerations such as statistical significance, correlation analysis , domain knowledge, and model evaluation techniques to identify the most predictive and relevant variables for the specific problem at hand.

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Answer:

-8

Step-by-step explanation:

when you substitute -8 for b it is -4(-8)+3=35

-4(-8) is 32 and 32+3=35

Boom.

also btw need help give brainliest

Answer:

-8

Explanation:

Move all terms that don't contain b to the right side and solve. Hope this helps :)

Answer:

John is 20 years old.

Step-by-step explanation:

Given the second mean is 18, it is equal to the first mean age plus John's unknown age. The sum is also divided by 2 because there are 2 values in the sum (1. John's age and 2. the mean, 16 yrs old).

Set up an equation: \(\frac{x+16}{2}=18\)

multiply both sides by 2: \(x+16=36\)

simplify: \(x=20\)

Answer:

Step-by-step explanation:

On a number line, -2 appears to the right of -5, and therefore -2 is warmer than -5.  (Answer A)

The difference between -2 and -5 is -2 - (-5) = 5 - 2 = 3 degrees C  (Answer B)

In other words, -2 is 3 degrees C warmer than -5 degrees C.

Answer:

21%

Step-by-step explanation:

So we have to use percent change

The formula is subtracted/original multiply 100=percent change

so she added a $5.04 tip

5.04/24=0.21, then multiplied by 100=21

so she tipped 21%

.25

Step-by-step explanation:

probability can be difficult to answer because of the overlap with possibility and chances etc etc... lower level classes will typically take the answer .25 while higher-level classes may prefer the answer .5

Therefore, the probability of observing tails on the first flip and heads on the second flip is 0.25 or 1/4.

When flipping a fair coin twice, the outcome of each flip is independent of the other. The probability of observing tails on the first flip is 1/2 (0.5), and the probability of observing heads on the second flip is also 1/2 (0.5).

To find the probability of both events occurring, we multiply the probabilities together:

P(tails on first flip and heads on second flip) = P(tails on first flip) * P(heads on second flip) = 0.5 * 0.5 = 0.25.

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