write a rule for a translation 3 units right and 5 units down followed by a reflection of y=x

Answers

Answer 1

We swap the x- and y-coordinates of the translated point, and then shift the x-coordinate 3 units to the right and the y-coordinate 5 units down.

The formula for translating 3 units right and 5 units down if we start at a position (x, y) is:

(x, y) → (x + 3, y - 5)

In other words, we multiply the x-coordinate by 3 and the y-coordinate by 5.

We switch the point's x- and y-coordinates in order to reflect the generated image across the line y = x. Finally, the rule is:

(x, y) → (y - 5, x + 3)

This entails switching the x- and y-coordinates of the translated point, followed by a 3 unit rightward and a 5 unit downward translation.

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Related Questions

how to convert milliliters to ul

Answers

We can convert milliliters to microliters by using the formula 1 milliliters = 10⁻³ microliters.

A milliliters (mL) is the unit of volume. One microliters (uL) is also a unit of volume but is it a smaller unit.

We know, Milli is corresponding to 10⁻³.

So, we can write the relation by using the concept of unit conversion.

10⁻³ milliliters = one microliters.

Now, for example, if we have 2 microliters, then it will be equal to 2 x 10⁻³ milliliters .

So, now we have to standard formula and we can use it to find the value of the time in microliters to milliliters and milliliters to microliters.

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Find an equivalent ratio in simplest terms: 22:60

Answers

Answer:

11:30

Step-by-step explanation:

The ratio is 22:60

We simplify by 2 and get

11:30

We can't simplify any more, so the answer is 11:30.

A new dam being built has the shape of a trapezoid.
The length of the base at the bottom of the dam is 2 times the height.
The length of the base at the top of the dam is 1/5 times the height
minus 30 feet.

a. Write an expression to find the area of the trapezoidal cross
section of the dam.

b. If the height of the dam is 180 feet, find the area
of this cross section.

Answers

The area of the trapezoidal cross section of the dam when the height is 180 feet is 33,030 square feet.

What is Quadrilateral?

A quadrilateral is a four-sided polygon, having four edges and four corners.

Let's h be the height of the trapezoid.

The length of the bottom base is 2 times "h", or 2h.

The length of the top base is 1/5 times "h", or h/5, minus 30 feet, which we can write as (h/5) - 30.

Area of a trapezoid = (1/2) × (length of bottom base + length of top base) × height.

The expression for the area of the trapezoidal cross section of the dam is:

(1/2) × (2h + (h/5 - 30)) × h

If the height of the dam is 180 feet, we can plug that value into the expression we just wrote to find the area:

Area = (1/2) × (2(180) + ((180/5) - 30)) × 180

Area = (1/2) × (360 + (36 - 30)) × 180

Area = (1/2) × (360 + 6) × 180

Area = (1/2) × 366 × 180

Area = 33,030 square feet

Therefore, the area of the trapezoidal cross section of the dam when the height is 180 feet is 33,030 square feet.

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College students are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they take one or more online courses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied x 0 1 2 3 PX) 0.106 0.352 0.394 0.148 1 UA Yes, the table shows a probability distribution B. No, the random variable x is categorical instead of numerical C. No, the numerical values of the random variable x are not associated with probabilities, ID No, not every probability is between 0 and 1 inclusive. E. No, the sum of all the probabilities is not equal to 1 Find the mean of the random varlable Select the correct choice below and, if necessary, fill in the answer box to complete your choice - students (Round to one decimal place as needed.) 8. The table does not show a probability distribution. Find the standard deviation of the random variable x. Select the correct choice below and, if necessary, fit in the answer box to complete your choice O OA students (Round to one decimal place as needed.) B. The table does not show a probability distribution, Time Remaining: 03:24:26 Next Statcrunch

Answers

The variance is 0.745

The  standard deviation is 0.863

What is Probability?

A probability is a number that describes how likely an event is to occur in science. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The probability of an event increasing as its likelihood increases

How to solve

X is a random variable and is the number of in the group of three who do online course.

The probability distribution is given below:

x        P(X=x)

0       0.108

1        0.355

2       0.395

3      0.142

A summation of this is 0.108 + 0.355 + 0.395 + 0.142

= 1

Since it is equals to 1, the distribution is a probability distribution.

To find the mean,

0(0.108) + (1) (0.355) + (2) (0.395) + (3)(0.0.142)

= 1.571 students

Approx

1.6 students

The variance is

3.213 - 2.468 = 0.745

The standard deviation is \sqrt0.745 = 0.863

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How to convert teaspoons to ounces

Answers

To convert teaspoons to ounces divide the ingredient or material's volume times its density by 5.751669.

Divide the volume times the density of the substance or material by 5.751669 to convert a teaspoon measurement to an ounce.

Hence, the volume in ounces is calculated by multiplying the teaspoons by the component or material's density and dividing the result by 5.751669.

ounces = teaspoons × ingredient density / 5.751669

One-third of a tablespoon's volume is represented by a teaspoon. Although a teaspoon is roughly equivalent to 4.9 millilitres, on nutrition labels, a teaspoon is actually equal to 5 millilitres.

The teaspoon is a common volume measurement in the US. Teaspoons can be written as tsp, although they can also be spelled as t, ts, or tspn.

One ounce is equal to 1/16 of a pound in terms of mass/weight. The troy ounce, which is equivalent to 1/12 of a troy pound, should not be confused with the common ounce.

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Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow.MarketWeekly Gross Revenue($100s)Television Advertising($100s)Newspaper Advertising($100s)Mobile101.351.5Shreveport51.933Jackson74.841.5Birmingham126.24.34.3Little Rock137.83.64Biloxi101.43.52.3New Orleans237.858.4Baton Rouge219.66.95.8(a)Use the data to develop an estimated regression with the amount of television advertising as the independent variable.Let x represent the amount of television advertising.If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)= + xTest for a significant relationship between television advertising and weekly gross revenue at the 0.05 level of significance. What is the interpretation of this relationship?The input in the box below will not be graded, but may be reviewed and considered by your instructor.(b)How much of the variation in the sample values of weekly gross revenue does the model in part (a) explain?If required, round your answer to two decimal places.%(c)Use the data to develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables.Let x1 represent the amount of television advertising.Let x2 represent the amount of newspaper advertising.If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)= + x1 + x2Is the overall regression statistically significant at the 0.05 level of significance? If so, then test whether each of the regression parameters β0, β1, and β2 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable?The input in the box below will not be graded, but may be reviewed and considered by your instructor.(d)How much of the variation in the sample values of weekly gross revenue does the model in part (c) explain?If required, round your answer to two decimal places.%(e)Given the results in part (a) and part (c), what should your next step be? Explain.The input in the box below will not be graded, but may be reviewed and considered by your instructor.(f)What are the managerial implications of these results?The input in the box below will not be graded, but may be reviewed and considered by your instructor.

Answers

The results of the regression analysis indicate that television and newspaper advertising are both important in driving weekly gross revenue. This means that the owners of Dixie Showtime can use the results of the regression analysis to make informed decisions about their advertising budgets in order to maximize their weekly gross revenue.

The results of part (a) and part (c) indicate that advertising plays a significant role in the weekly gross revenue of Dixie Showtime Movie Theaters, Inc. The results of the regression analysis indicate that television and newspaper advertising are both important in driving weekly gross revenue. This means that the owners of Dixie Showtime can use the results of the regression analysis to make informed decisions about their advertising budgets in order to maximize their weekly gross revenue. They can allocate their advertising budget based on the amount of impact each form of advertising has on their weekly gross revenue. Additionally, the owners can use the results of the regression analysis to determine the amount of weekly gross revenue they will generate based on their chosen advertising budget.

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Solve the inequality. Give the solution set in both interval and graph forms; -8≤x+1<15

Answers

The solution of the inequality is:

-9 ≤ x < 14

And the graph can be seen on the image at the end.

How to solve the inequality?

Here we want to solve the inequality:

-8 ≤ x + 1 < 15

To solve this, we need to isolate the variable, if we subtract 1 un all the parts we will get.

-8 - 1 ≤ x< 15 - 1

-9 ≤ x < 14

To graph this we need to draw a closed circle at x = -9 and a line that extends to the right, until it ends at an open cirlce at x = 14.

The graph is below.

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Find the value of x pls

Answers

Step-by-step explanation:

180-(20+x+40)

=180-(60+x)

x=180-60

=120

The perimeter of a regular hexagon is 90 feet.

What is the area of the hexagon?

Enter your answer rounded to the nearest tenth in the box.

Answers

Answer: 584.6

Step-by-step explanation: I just took the test

i need help look at the picture for the equation

Answers

The coordinate of the vertex A' after a reflection over the y-axis is equal to A'(3, 4).

What is a reflection?

In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of triangle ABC, the coordinates of A' in triangle A'B'C' include the following:

(x, y)                               →              (-x, y)

Coordinate A = (-3, 4)   →  Coordinate A' = (-(-3), 4) = (3, 4).

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5. A population of bumble bees starts at 20 bees in the spring. Every week, the
population of bumble bees triples. Write the geometric sequence formula and
find the number of bees after 32 weeks. Show all of your work.

Answers

After 32 weeks, the population of bumble bees will be 6.77315 x 10¹⁴ bees.

Solving for the population of bumble bees after 32 weeks:

The population of bumble bees triples every week, so the common ratio is 3. The starting population is 20 bees.

The formula for a geometric sequence is:

a_n = a_1 * rⁿ⁻¹

where,

a_n = the nth term in the sequence

a_1 = the first term

r = the common ratio

n = the number of terms.

Using this formula, we can find the number of bees after 32 weeks:

a_32 = 20 * 3³²⁻¹

a_32 = 20 * 3³¹

a_32 = 6.773150 × 10¹⁴

Therefore, after 32 weeks, the population of bumble bees will be approximately 6.77315 x 10¹⁴ bees.

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Hyo can type 200 words in 5 minutes. How long would it take Hyo to type a 500-word paper?

Answers

Answer: fifteen minutes

Please, Help me with this question

Answers

If (4+2i) - (a+5i) = 9-3i, find the value of a = (-5)

A test for a disease will show accurate results 97% of the time. A testing company selects 3 random individuals that are known to have the disease.

a. What is the probability that only one of the individuals will test accurately?
b. what is the probability that none of the individuals test accurately?
c. what is the probability that at least two individuals test accurately?

Answers

Answer:

individuals will test accurately?

b. what is the probability that none of the individuals test accurately?

c. what is the probability that at least two individuals test accurately?

hey hottie

❣️❣️❣️

PLEASE HELP ME IM SO CONFUSED WERE SUPPOSED TO USE THE PYTHAGOREAN THEOREM

Answers

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.


According to the definition, the Pythagoras Theorem formula is given as:

Hypotenuse^2 = Perpendicular^2 + Base^2
c^2 = a^2 + b^2
The side opposite to the right angle (90°) is the longest side (known as Hypotenuse) because the side opposite to the greatest angle is the longest.

As for part B

225 =x^2+ y^2

Give the rest of them a try



How do you find the Cholesky decomposition of identity matrix

Answers

The Cholesky decomposition of the identity matrix is simply the identity matrix itself

The Cholesky decomposition of the identity matrix is simply the identity matrix itself. To see why this is the case, recall that the Cholesky decomposition of a matrix A is a lower-triangular matrix L such that

A = LL^T.

When A is the identity matrix I, we have I = LL^T.

Since L is lower-triangular, its transpose L^T is upper-triangular. Therefore, the only way for LL^T to be the identity matrix I is for L to also be the identity matrix I.

In summary, the Cholesky decomposition of the identity matrix I is I itself.

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a recipe for a pie calls for 2/4 cup of blackberries and 1/3 cup of raspberries. what is the total amount of berries needed for the recipe
Urgent!

Answers

Therefore, 10/12 cups of fruit are required for the dish, which can be expressed as 5/6 cups.

In arithmetic, what is a fraction?

An element of a whole is a portion. The number is represented mathematically as a fraction, where the numerator and denominator are split. Both are numbers in a straightforward fraction. A fraction appears in the sum or base of a complicated fraction. The numerator of a perfect proportion is smaller than the denominator.

Based on the given conditions, formulate: [tex]\frac{2}{4} +\frac{1}{3}[/tex]

Cross out the common factor: [tex]\frac{1}{2}+\frac{1}{3}[/tex]

Rewrite fractions using the Least Common Denominator: [tex]\frac{3+2}{6}[/tex]

Calculate the sum or difference: [tex]\frac{5}{6}[/tex]

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What is the dividend divided by the price?

Answers

The dividend divided by the price is the Dividend yield. The ratio of a company's annual dividend to its stock price.

Dividend Yield:

Dividend yield is expressed as a percentage and is a financial ratio (dividend/price) that indicates how much a company pays in annual dividends as a share price. The reciprocal of the dividend yield is total dividends/net income, which is the dividend payout ratio.

The dividend yield is an estimate of the dividend yield of a stock investment. Assuming dividends don't rise or fall, yields rise when stock prices fall. Conversely, when stock prices rise, they fall. Dividend yields vary with share price, so stocks that are rapidly declining in value may seem unusually high dividend yields.

The formula for dividend yield is as follows:

Dividend Yield = Annual Dividends Per Share/ Price Per Share

​The dividend yield can be calculated based on the financial statements for the past year. This is permitted during the first few months after the company's annual report is issued. However, the more time has passed since the release of the annual report, the less relevant this data is to investors. Alternatively, investors may add the last 4 quarter dividends to reflect dividend data for the last 12 months. It is acceptable to use the dividend numbers that follow, but yields may be too high or too low if the dividend has been recently cut or raised.

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2 more than 3 lots of a number is equivalent to 8 lots of the number.

Answers

If 2 more than 3 lots of a number is equivalent to 8 lots of the number, then the number is 2/5

Let's call the unknown number "x".

According to the problem statement, "2 more than 3 lots of a number" can be written as:

3x + 2

And "8 lots of the number" can be written as:

8x

The problem states that these two expressions are equivalent, so we can set them equal to each other

The equation will be

3x + 2 = 8x

Now we can solve for x:

3x + 2 = 8x

Move 8x to left hand side of the equation

-5x = -2

x = 2/5

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In the garden, the ratio of roses to daisies is 2:5. There are 40 roses. How many daisies are there?

Answers

The ratio of roses to daisies is 2:5. If there are 40 roses, then there are 100 daisies.

In the garden, the ratio of roses to daisies is 2:5. This means that for every 2 roses, there are 5 daisies. We can use this information to find the number of daisies when there are 40 roses.

Set up a proportion using the given ratio and the number of roses.
   2/5 = 40/x

Cross multiply to solve for x, we get:
   2 * x = 5 * 40

Then, simplify the expression:
2x = 200

Divide both sides by 2 to isolate x.
x = 100

Therefore, there are 100 daisies in the garden when there are 40 roses.

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Answer:

Step-by-step explanation:

there 2:6

Please help me solve this problem ASAP

Answers

Answer:

In the triangle we are given Angle A,B andC

a) To find the value of x we will say

angle A + angle B + angle C = 180(sum of angles in triangle add up to 180)

35 + 52 + 3(x+2) = 180

87 + 3x + 6 = 180

3x + 93 = 180

3x = 180 - 93

3x = 87

x = 29

b) To find the measure for angle C we need to substitute the value of x

angle c = 3(x+2)

= 3(29+2)

= 3(31)

= 93

What is total surplus in a market equal to?

Answers

From the given information, total surplus in a market is equal to the sum of consumer surplus and producer surplus.

Consumer surplus is the difference between the highest price a consumer is willing to pay for a good or service (the "reservation price") and the actual price they pay. Producer surplus is the difference between the lowest price a producer is willing to accept for goods or services and the actual price they receive.

When a market is in equilibrium, the price and quantity are such that the quantity demanded equals the quantity supplied. At this point, total surplus is maximized, since all trades that benefit both consumers and producers have taken place. The total surplus represents the net benefit to society from the production and consumption of the good or service in the market.

In other words, total surplus is the sum of the gains from trade that accrue to consumers and producers in the market, and it represents the difference between the value that buyers and sellers place on the good or service and the resources that were actually used to produce it.

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how to convert ml in liter

Answers

The conversion from mililitres to litre will be done using the relation between the two, where 1 liter has 1000 mililitres.

Firstly know the abbreviations. In this question, ml represents mililitres. Now, The mentioned problem is from unit conversion. As we know the relation, that one litre contains 1000 milliliters of any fluid. So, this is the method of conversion from mililitres to litre.

We can understand given conversion through example. Let us say Zainab has a bottle of 2000 mililitres. Now how many litres of liquid can this bottle contain?

1000 mililitres is present in 1 liter

So, 2000 mililitres will contain = 2000/1000

Performing division

2,000 mililitres will contain 2 litre liquid.

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Make Sense and Persevere Gabriela is selling
friendship bracelets for a school fundraiser.
After the first day, she has 234 bracelets
left. After the second day, she has 222 left.
Assuming the sales pattern continues and
it is an arithmetic sequence, how many
bracelets will Gabriela have left to sell after
the fifth day?

Answers

Answer:

Given that 234 tickets remain after the first day, then a 1 = 234 a_1=234 a1​=234. So, Grabriela will have 186 bracelets \text{\color{#c34632}{186 bracelets}} 186 bracelets left to sell after the fifth day.

Find the length of CYT given that m/CAT=128° and CA =10 in Circle A.
3.14 in your calculation and round to the nearest tenth.

Answers

The length of arc CYT is solved to get

= 40.12

How to solve for length of arc

Length of arc CYT is calculated using the formula for length of arc

= theta / 360 * 2πR

From the problem, we have that

theta = 360 - 128 = 230

R = radius = CA = 10

π = 3.14sds

plugging in the values we have

= 230 / 360 * 2 * 3.14 * 10

= 23/36 * 20 * 3.14

= 40.1222

= 40.12 (to the nearest tenth)

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PLS HELP ME OUT I CAN'T FIGURE IT OUT

Answers

Answer:

B. Vertical angles

Step-by-step explanation:

Greetings!!

Vertical angles are angles that are opposite of each other when two lines cross. Vertical angles are. congruent, meaning that they have the same angle measure. For example, angle 1 and angle 3 are vertical angles.

Also look at the image attached above

Hope it helps!!!!

What are the steps you take to find the área of a compound figure?

How do you show your work when finding area of compound figure?

Answers

Answer:

1. Divide the compound figure into parts whose areas can be calculated. These parts must be simple shapes such are rectangles, triangle, circles, etc. for which there is a formula, and the dimensions (length, width, height, radius, etc.) must be shown or can be calculated.

2. Calculate the area of each part.

3. Add all areas together.

What is the discount for a retail price of $892 and a discount rate of 12%

Answers

Just do 892* 0.12
Which 0.12= 12%
Final answer: 107.04

How do you find a vector with two points?

Answers

Answer: To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

Step-by-step explanation:

How do I find the x intercept of (If possible show me the steps thank you!)

f(x) = -x^2 + 8x + 6

Answers

The two x-intercepts of the quadratic function are:

x = 8.69

x =  -0.69

How to find the x-intercepts of the quadratic function?

Here we want to find the x-intercepts of the function:

f(x) = -x^2 + 8x + 6

Then we need to solve:

0 =  -x^2 + 8x + 6

Using the quadratic formula we will get the solutions:

[tex]x = \frac{-8 \pm \sqrt{8^2 - 4*(-1)*6} }{2*-1} \\\\x = \frac{-8 \pm 9.38 }{-2}[/tex]

Then the two solutions are:

x = (-8 - 9.38)/-2 = 8.69

x = (-8 + 9.38)/-2 = -0.69

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