6. Which equation or inequality represents the following description? & Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.
A. 8(2n) < 76 - 12
B. 8n + 2 = 12n - 76
C. 8(n + 2) > 76 - 12n
D. 8(2n) = 76 – 12n​

Answers

Answer 1

Answer:C it’s bc it says at least 12 time the number subtracted from 76

Step-by-step explanation:

If it’s wrong sry if your gonna be mean to me just work it by your self don’t use brainly


Related Questions

evaluate the fermi function for an energy KT above the fermi energy. find the temperature at which there is a 1% probability that a state,

Answers

Complete Question

Evaluate the Fermi function for an energy kT above the Fermi energy. Find the temperature at which there is a 1% probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron.

Answer:

a

The Fermi function for the energy KT is  \(F(E_o) = 0.2689\)

b

The temperature is  \(T_k = 1261 \ K\)

Step-by-step explanation:

From the question we are told that

   The energy considered is  \(E = 0.5 eV\)

Generally the Fermi  function is mathematically represented as

       \(F(E_o) = \frac{1}{e^{\frac{[E_o - E_F]}{KT} } + 1 }\)

    Here K is the Boltzmann constant with value \(k = 1.380649 *10^{-23} J/K\)

            \(E_F\)  is the Fermi energy

            \(E_o\)  is the initial energy level which is mathematically represented as

     \(E_o = E_F + KT\)

So

     \(F(E_o) = \frac{1}{e^{\frac{[[E_F + KT] - E_F]}{KT} } + 1}\)

=>   \(F(E_o) = \frac{1}{e^{\frac{KT}{KT} } + 1}\)

=>   \(F(E_o) = \frac{1}{e^{ 1 } + 1}\)

=>   \(F(E_o) = 0.2689\)

Generally the probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron is mathematically represented by the  Fermi  function as

     \(F(E_k) = \frac{1}{e^{\frac{[E_k - E_F]}{KT_k} } + 1 } = 0.01\)

Here\(E_k\) is that energy level that is  0.5 ev above the Fermi energy  \(E_k = 0.5 eV + E_F\)

=>   \(F(E_k) = \frac{1}{e^{\frac{[[0.50 eV + E_F] - E_F]}{KT_k} } + 1 } = 0.01\)

=>   \(\frac{1}{e^{\frac{0.50 eV ]}{KT_k} } + 1 } = 0.01\)

=>   \(1 = 0.01 * e^{\frac{0.50 eV ]}{KT_k} } + 0.01\)

=>   \(0.99 = 0.01 * e^{\frac{0.50 eV ]}{KT_k} }\)

=>   \(e^{\frac{0.50 eV ]}{KT_k} } = 99\)

Taking natural  log of both sides

=>   \(\frac{0.50 eV }{KT_k} } =4.5951\)

=>    \(0.50 eV =4.5951 * K * T_k\)

Note eV is electron volt and the equivalence in Joule is     \(eV = 1.60 *10^{-19} \ J\)

So

     \(0.50 * 1.60 *10^{-19 } =4.5951 * 1.380649 *10^{-23} * T_k\)

=>   \(T_k = 1261 \ K\)

The country of Scotstats requires the people in their country to have license tags on their
car such that the first 3 characters are English letters but no letter may repeat. The last 3
characters must each be a number 0 - 9 and again no numbers can be repeated. How
many license tags are possible?

Answers

The licenses have space for 6 characters.

We need to note that there are 26 alphabets and 10 numbers to pick from.

So, for the first character, any of the 26 alphabets can take this spot.

For the second character, 25 alphabets are now available for that space. (Since repetition is not allowed)

For the third character, 24 alphabets are available for that.

For the fourth character, any of the 10 numbers can take up that spot.

For the fifth character, only 9 numbers can take this spot now. (No repetition rule too)

For the sixth character, 8 numbers can take that spot.

So, mathematically, the number of license tags possible will be

\(\bold{26 \times 25 \times 24 \times 10 \times 9 \times 8 = \underline{11,232,000} \ possible \ license \ tags}\)

Answer:

11,232,000

Step-by-step explanation:

26 choices for the first letter.

25 choices left for the second letter (can't repeat letters)

24 choices left for the third letter

26 x 25 x 24 = 15,600 = possible first 3 characters.

10 choices for the first number

9 choices left for the second number (can't repeat numbers)

8 choices left for the third number

10 x 9 x 8 = 720 = possible last 3 characters.

chatgpt

One pound of candies costs $3.50.
a) How much will we have to pay for 3 lb?
b)How much will we have to pay for 4.5 lb?
c)How many pound of candies can be bought for $7?
d)How many pound of candies can be bought for $10.50?

Answers

Answer:

a). $10.50

b). $15.75

c). 2 POUNDS

d). 3 POUNDS

Step-by-step explanation:

Answer of  option (a)=$10.50 , (b)=$15.75 , (c)=2 pound , (d)=3 pound.

What is cost?

Cost is an amount to be spent to buy something or obtain something.

Given that,

The cost for one pound of candies is $3.50,

(a)  The coast For 3 pounds of candies = 3.50×3=10.50

(b) The coast For 4.5 pounds of candies = 3.50×4.50=15.75

(c) For $3.50 ,1 pound candies can be bought, so for $7 , 2 pound candies can be bought (Since 3.50×2=7)

(d) For 3.50 , 1 pound candies can be bought, so for $10.50 , 3 pound candies can be bought (Since 3.50×2=7)

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10. John has taken many science tests. His scores are shown below.
What is the range of his test scores?
X
X
X
X
X
79 80 81
X
X X
x x
X
82
X
X X
83
84
85

Answers

Answer: 6

Step-by-step explanation:

85-79=6

Answer:

6

Step-by-step explanation:

85-79=6

Do it for me, please

Do it for me, please

Answers

(5×28)+(2×23)+(3×3)

.................

Ron is a huge golfer and he is interested in purchasing a new brand of golf balls that claim to extend his driving
range. Ron sets up an experiment where he will test these new golf balls against the current golf balls he uses to
see if his driving distance had increased. He will hit an SRS of 30 new golf balls and record the average range
and then will hit an SRS of 30 current golf balls and record the average range. He will then compare the
averages to see if there is a difference between the two true distances.

11) What type of study is being conducted by Ron and, of the following, which is the appropriate t-
interval for inference?
(A) A completely randomized design and a t-interval for a difference between means for independent samples
(B) A completely randomized design and a t-interval for a mean difference
(C) A matched-pairs design and a t-interval for a difference between means for independent samples
(D) A matched-pairs design and a t-interval for a mean difference
(E) An observational study and a t-interval for a difference between means for independent samples

12) The following is a table of his results.
New Golf Balls
Old Golf Balls
¿(yards)
203.5
197 4
S, (yards)
5.6
10.3
We set up our hypothesis to see if there is a significant difference in mean driving distance between the new
golf balls and the old golf balls. Based on our data, what is the appropriate t-statistic?
(A) 1.01
(B) 1.55
(C) 1.98
(D 2.85
(E) 3.33
13) Which of the following is a true statement about the study being conducted by Ron?
(A) Because this is an experiment, the random condition was violated due to no random assignment.
(B) Because this is an experiment, the fact that an SRS of balls was taken is insignificant.
(C) The central limit theorem tells us that the sampling distribution of driving distance for each of the individual
samples of balls will be approximately normal.
(D) The central limit theorem tells us that as long as our sample size is above 30, the population distribution
will be approximately normal.
(E) The results of this study will be meaningless because it was not double-blind

Answers

11)  (A) a t-interval for a difference between means for independent samples.

12) the appropriate t-statistic is (C) 1.98.

13) option (c)

What is the central limit theorem?

The central limit theorem is a principle in probability theory that states that the distribution of sample means will eventually approximate a normal distribution as the sample size becomes larger.

11) The type of study being conducted by Ron is a completely randomized design, where he randomly assigns the two types of golf balls (new and current) to two separate groups and then compares the mean driving distances between the two groups.

The appropriate t-interval for inference is (A) a t-interval for a difference between means for independent samples.

12) To test the hypothesis of whether there is a significant difference in mean driving distance between the new golf balls and the old golf balls, we need to calculate the appropriate t-statistic.

The formula for the t-statistic for a difference between means for independent samples is:

\(t = (x_1 - x_2) / [s1^2/n1 + s_2^2/n_2]^{0.5}\)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes for the two groups.

Using the given data, we have:

x1 = 203.5 yards, x2 = 197.4 yards

s1 = 5.6 yards, s2 = 10.3 yards

n1 = n2 = 30

Substituting these values into the formula, we get:

\(t = (203.5 - 197.4) / [(5.6)^2/30 + 10.3^2/30]^{0.5} = 1.98\)

Therefore, the appropriate t-statistic is (C) 1.98.

13) The correct statement about the study being conducted by Ron is (C) The central limit theorem tells us that the sampling distribution of driving distance for each of the individual samples of balls will be approximately normal.

Hence, The answers to the question:
11)  (A) a t-interval for a difference between means for independent samples.

12) the appropriate t-statistic is (C) 1.98.

13) option (c)

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Answer: c

Step-by-step explanation:

Find the coordinates of the vertices of each figure after the given transformation.
dilation of 2.5 about the origin
Q(-1,-1), R(-2, 1), S(0, 2), T(2,0)

Find the coordinates of the vertices of each figure after the given transformation.dilation of 2.5 about

Answers

Step-by-step explanation:

Q(-1,-1), R(-2, 1), S(0, 2), T(2,0)

after dilation, all the numbers should be multiplied by 2.5.

so, the correct answer is d.

Q'(-2.5 ,-2.5), R'(-5, 2.5), S'(0, 5), T'(5,0)

Show how you can use the basic fact 5x8=40 to determine the product of 5x800.

Answers

We can use the property of Multiplication  5x8=40 to determine the product of 5x800, which is 4000.

To find the product of 5x800 using the basic fact 5x8=40, we can use the property of multiplication that states that multiplying a number by 10 increases its value by one place value. Therefore, we can rewrite 800 as 80x10 and multiply it by 5 as shown below:

5x800 = 5x(80x10)   (replacing 800 with 80x10)

     = (5x80)x10   (associative property of multiplication)

     = 400x10      (using the basic fact 5x8=40)

     = 4000

Thus, we can use the basic fact 5x8=40 to determine the product of 5x800, which is 4000.

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Read this excerpt from Fever 1793.

Andrew Brown's print shop smelled of ink and grease and the sweat of muscular apprentices carrying trays of lead type from the composing table to the printing press. When I was a child, Mr. Brown let me pick out letters and set them in the form. It had been a thrill seeing my words in print.

The printer issued no invitation to me that morning. He was deep in conversation with Mr. Carris as we entered.

Readers understand Andrew Brown's feelings based on his

direct statements
unusual actions.
work habits.
attitude toward others.

Answers

Answer: The answer is (B) unusual actions

Step-by-step explanation:

I took the test on edge and got it right and all so the person above me is correct, have a wonderful day. And good luck with your test. (✿◡‿◡)

Reading the excerpt allows a reader to understand what Andrew Brown is feeling thanks to his unusual actions.

How can the reader infer Andrew Brown's feelings?

The speaker in the excerpt talked about how Andrew Brown would usually offer to allow him to pick out letters and arrange them in a form.

On this day, Andrew Brown did not offer the speaker that courtesy which was unusual. This shows that Andrew Brown is not his usual self.

In conclusion, option B is correct.

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The answer to a subtraction problem​

Answers

Answer:

The answer in a subtraction problem is called the difference.

Step-by-step explanation:

Hi there!

The answer to a subtraction problem is called rest or difference while the top thats being subtracted is called the minuend and the middle one is called the subtrahend.

Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)

Answers

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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(m-3)/(7)=(m)/(m+8) Solve the proportion.

Answers

Answer: m=6, m=-4

Step-by-step explanation:

To solve this proportion, we have to cross multiply.

\(\frac{m-3}{7} =\frac{m}{m+8}\)

\((m-3)(m+8)=7m\)

Now that we have cross multiplied, we actually need to FOIL the left side to expand the equation.

\(m^2+8m-3m-24=7m\)

Combine like terms.

\(m^2+5m-24=7m\)

We can move all terms to one side and then solve for m.

\(m^2-2m-24=0\)

We can actually factor this to:

\((m-6)(m+4)=0\)

We set each factor equal to 0 to find m.

m-6=0

m=6

m+4=0

m=-4

F(-2) for f(x) =5•3^x

Answers

Answer:

5/9

Step-by-step explanation:

f(x) =5•3^x

Let f = -2

f(2) =5•3^-2

     = 5 * 1/ 3^2

     = 5 * 1/9

     = 5/9

Step-by-step explanation:

F(-2) for f(x) =5•3^x

Then, replace x by - 2

F(-2)=5•3^-2 (RULE= 3^-2 = 1/3^2)

\( = 5. \frac{1}{ {3}^{2} } \)

\( = 5 . \frac{1}{9} \)

\( = \frac{5}{9} \)

Hope this helps..have a great day!

Can anyone help me I don’t know what to do

Can anyone help me I dont know what to do

Answers

Answer:

y=8

Step-by-step explanation:

5=-3+y

move the term

-y= -3-5

then calculate the difference

-y= -8

then change the signs

y=8

Answer:

5=-3+y

5=y-3

+3 +3 (add 3 on both sides) *where 5 and -3 are located at*

8=y would be your answer

Step-by-step explanation:

i just explained lol

Selling price = 400, Profit=35

Answers

Answer:

So you sold it at 435 dollors because it costed 400 and you made a 35 dollor profit.

Step-by-step explanation:

A boy is playing a ball in a garden surrounded by a wall 2.5 m high and kicks the ball vertically up from a height of 0.4 m with a speed of 14 m/s . For how long is the ball above the height of the wall.

Answers

Answer:

2.5 sec

Step-by-step explanation:

Height of wall = 2.5 m

initial speed of ball = 14 m/s

height from which ball is kicked = 0.4 m

we calculate the speed of the ball at the height that matches the wall first

height that matches wall = 2.5 - 0.4 = 2.1 m

using  =  + 2as

where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)

=  + 2(-9.81 x 2.1)

= 196 - 41.202

= 154.8

v =  = 12.44 m/s

this is the velocity of the ball at exactly the point where the wall ends.

At the maximum height, the speed of the ball becomes zero

therefore,

u = 12.44 m/s

v = 0 m/s

a = -9.81 m/s^2

t = ?

using V = U + at

0 = 12.44 - 9.81t

-12.44 = -9.81

t = -12.44/-9.81

t = 1.27 s

the maximum height the ball reaches will be gotten with

=  + 2as

a = -9.81 m/s^2

0 =  + 2(-9.81s)

0 = 196 - 19.62s

s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.

height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m

we calculate for the time taken for the ball to travel down this height

a = 9.81 m/s^2 (positive in downwards movement)

u = 0

s = 7.49 m

using s = ut + a

7.49 = (0 x t) +  (9.81 x  )

7.49 = 0 + 4.9

 = 7.49/4.9 = 1.53

t =  = 1.23 sec

Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec

If a mother is 20 years old when her baby is born how old will she be when she is twice as old as her child

Answers

Answer:

40.

Step-by-step explanation:

How do you solve for extraneous solutions? When solving |2p+3|=11?

Answers

Given the equation:

\(|2p+3|=11\)

Using the properties of the absolute

hi i love you! <3
So does God and everyone else

Answers

Answer:

thanks

u to

Step-by-step explanation:

Need to find the Step by step how to do this problem?

Need to find the Step by step how to do this problem?

Answers

Answer:

y=10x+125

Step-by-step explanation:

rise over run, so y goes up by 10 each time and x goes up by one each time so that's your X, your b is where it starts at zero so if you did -1 for x you get zero but you have to do that with the y also so 135-10=125, 125 is where your y starts and that's your b

Last year, sally had a gross profit margin of 68% in her hair salon. Her gross profit was $32,508. 63. How much did sally make in net sales last year? a. $16,398. 06 b. $22,105. 87 c. $35,610. 25 d. $47,806. 81 please select the best answer from the choices provided a b c d.

Answers

The net sales made by Sally last year was $47,806. 81. Therefore option D is the correct answer.

The formula in order to calculate gross profit margin is ,

Gross profit margin = (gross profit / net sales) x 100%

As is is mentioned that Sally's gross profit margin was 68%, and her gross profit was $32,508.63. Then let's suppose that her net sales was y. Then we can write that:

68% = ($32,508.63 / y) x 100%

Now let's multiply both sides by y and dividing by 100%, we get:

0.68y = $32,508.63

On dividing the both sides of the equation by 0.68, we will get,

y = $47,806.81

Hence, Sally's net sales of the last year is calculated to be $47,806.81.

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Find The Value of X
A. 10
B. 14
C. 9
D. 16

Find The Value of XA. 10B. 14C. 9D. 16

Answers

Answer:

10

Step-by-step explanation:

8-6=2 so you would do 12-2

What is (2/3 x 3/5) - (3/4 x 1/6)

Answers

Answer:

2/3×3/5=2/3. 3/4×1/6=1/8

2/3-1/8=11/40

Answer:

\( \boxed{ \frac{11}{40} }\)

Step-by-step explanation:

\(( \frac{2}{3} \times \frac{3}{5} ) - ( \frac{3}{4} \times \frac{1}{6} )\)

Reduce the numbers with Greatest common factor 3

⇒\( \mathsf{(2 \times \frac{1}{5} ) - ( \frac{1}{4} \times \frac{1}{2} )}\)

Calculate the product

⇒\( \mathsf{( \frac{2}{5} )- ( \frac{1}{4} \times \frac{1}{2}) }\)

Subtract the fractions

⇒\( \mathsf{ \frac{2 \times 8 - 1 \times 5}{40} }\)

⇒\( \mathsf{ \frac{16 - 5}{40} }\)

⇒\( \mathsf{ \frac{11}{40} }\)

Hope I helped!

Best regards!

The variables x and y are related proportionally. When x = 8, y = 20. Find y when x = 80.

Answers

Answer:

y = 200

Step-by-step explanation:

Use the equation y = kx, where k is a constant.

Plug in the given x and y values, then solve for k:

y = kx

20 = k(8)

2.5 = k

Then, plug in k and the given x value, and find y:

y = 2.5x

y = 2.5(80)

y = 200

So, y = 200 when x = 80

During a storm, a tree breaks 7 feet above the ground and falls to form a right triangle. If the top of the tree rests 23 feet from the base of the tree, approximately how tall was the tree before the storm? Multiple choice question. cross out A) 31 feet cross out B) 29 feet cross out C) 24 feet cross out D) 22 feet Tools are not currently accessible

Answers

Answer:

We can solve this problem using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs (the sides adjacent to the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle).

Let's let "h" be the height of the tree before it broke, and "x" be the distance from the base of the tree to where it broke. Then, we can set up the following equation using the Pythagorean theorem:

h^2 = x^2 + (h-7)^2

We also know that the top of the tree rests 23 feet from the base of the tree, so we can set up another equation:

x + 23 = h

Now we have two equations with two unknowns, which we can solve simultaneously. Rearranging the second equation, we get:

x = h - 23

Substituting this into the first equation, we get:

h^2 = (h-23)^2 + (h-7)^2

Expanding the squares and simplifying, we get:

0 = -46h + 552

Solving for h, we get:

h = 12

Therefore, the height of the tree before it broke was approximately 12 feet. Since none of the answer choices match this result, we cannot cross out any of the choices.

need help with geometry

need help with geometry

Answers

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Which overlapping triangles are congruent by ASA?

Which overlapping triangles are congruent by ASA?

Answers

The overlapping triangles which are congruent by ASA are ΔEBC and ΔADC which is therefore denoted as option C.

What is a Congruent triangle?

This is a scenario in which all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Taking ΔEBC and ΔADC, we have the following below:

∠B=∠D (90°)

CB= CD (Given)

∠BCE=∠ACD( Common)

Therefore, by ASA we can deduce that,

Δ EBC ≅ΔADC.

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Find the measure of the missing angle.

Find the measure of the missing angle.

Answers

Answer:

You see that 73 degrees and angle 'a' must add up to be = to 180 degrees since both angles form that straaight line on the left. So 180 degrees - 73 = 107 degrees which is measure of angle 'a'

Step-by-step explanation:

Answer:

107°

Step-by-step explanation:

The two angles below form a linear pair.

They are characterized by forming a sum of 180°, which is the standard angle measure of any line.

⇒ a + 73° = 180°

⇒ a = 107°

Please can someone who knows the right answer help me? From a group of 5 boys and 3 girls, a boy and a girl will be selected to attend a conference. In how many ways can the select be made?

Answers

The selection can be made in 15 different ways, taking into account the distinct combinations of a boy and a girl from the given group of 5 boys and 3 girls.

To determine the number of ways a boy and a girl can be selected from a group of 5 boys and 3 girls to attend a conference, we can use the concept of combinations.

The number of ways to choose one boy from 5 boys is 5C1, which is equal to 5. Similarly, the number of ways to choose one girl from 3 girls is 3C1, which is equal to 3.

To select one boy and one girl, we need to multiply the number of ways to choose a boy and a girl together. Using the multiplication principle, we multiply the number of choices for each category: 5C1 * 3C1 = 5 * 3 = 15.

Therefore, there are 15 ways to select a boy and a girl from the given group to attend the conference.

Each combination represents a unique pair consisting of one boy and one girl. For example, if the boys are labeled as B1, B2, B3, B4, and B5, and the girls are labeled as G1, G2, and G3, the possible pairs could be (B1, G1), (B1, G2), (B1, G3), (B2, G1), (B2, G2), and so on, up to (B5, G3).

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In the figure shown,trapezoid RSTU has vertices R(1,3),S(4,3),T(3,1),and U(2,1).
Draw the image RSTU after a dilation with a scale factor of 2,followed by a translation of 2 units down.Label the vertices EFGH

In the figure shown,trapezoid RSTU has vertices R(1,3),S(4,3),T(3,1),and U(2,1).Draw the image RSTU after

Answers

Answer:

To perform a dilation with a scale factor of 2, we multiply the x and y coordinates of each vertex by 2.

R(1,3) becomes R'(2,6)

S(4,3) becomes S'(8,6)

T(3,1) becomes T'(6,2)

U(2,1) becomes U'(4,2)

To perform a translation of 2 units down, we subtract 2 from the y-coordinates of each vertex.

R'(2,6) becomes E(2,4)

S'(8,6) becomes F(8,4)

T'(6,2) becomes G(6,0)

U'(4,2) becomes H(4,0)

So, the image of trapezoid RSTU after a dilation with a scale factor of 2, followed by a translation of 2 units down is trapezoid EFGH, with vertices E(2,4), F(8,4), G(6,0), and H(4,0).

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