Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?

There are 53 classes in South Beach middle school

South beach middle school has 1,272 students

The students are divided into equal classes of 24 students each

Therefore the number of classes can be calculated by dividing the total population of the students in the school by 24

= 1272/24

= 58

Hence there are 58 classes in the school

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Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

The probability of Event A is 1/360 and the probability of Event B is 1/15.

For Event A, we can calculate the probability by considering the order in which the acts are scheduled.

There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.

Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.

Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.

Therefore, the total number of possible ways to schedule all 6 acts is:

6 x 5 x 4 x 3 x 2 x 1 = 720

Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.

There are 2 remaining acts, so there are 2 possible choices for the fifth act.

Only one act remains for the last slot.

Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:

1 x 1 x 1 x 1 x 2 x 1 = 2

Thus, the probability of Event A is:

P(A) = 2/720 = 1/360

For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.

There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.

Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.

Therefore, the total number of possible ways to schedule the first four acts is:

4 x 3 x 2 x 1 = 24

Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.

Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:

24 x 2 = 48

Thus, the probability of Event B is:

P(B) = 48/720 = 1/15

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Answer:

\(C = (2,-1)\)

Step-by-step explanation:

Given

\(A = (-5,-1)\)

\(B = (-5,3)\)

\(D = (2,3)\)

Required

The coordinate of the fourth point (C)

The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.

The coordinate of such rectangle can be represented as:

\(A = (x_1,y_1)\)

\(B = (x_1,y_2)\)

\(C = (x_2,y_1)\)

\(D = (x_2,y_2)\)

By comparing the general coordinates with the given coordinates, we have:

\(x_1 = -5\) --- see A and B

\(y_1 = -1\) --- see A and C

\(x_2 = 2\) ---- see C and D

\(y_2 = 3\) --- see B and D

So, we have:

\(C = (x_2,y_1)\)

\(C = (2,-1)\)

Answer is:

C. (2, -1)

Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

Answer:

you have not put the  full question

Step-by-step explanation:

Answer:

The question is incomplete

Answer:

Ten miles

Step-by-step explanation:

Use this inequality

20 + 3m = 5m

At 6 minutes the two airplanes will be at the same altitude and 16200 be will that altitude. When  An airplane is preparing to land at an airport. It is 34,200 feet above the ground and is descending at the rate of 3,000 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute.

A triangle's altitude is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.

Given

An airplane is preparing to land at an airport. It is 34,200 feet above the ground and is descending at the rate of 3,000 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute.

Altitude equation:

y = 34200 - 3000x

y = 2700x

2700x = 34200 - 3000x

2700x + 3000x = 34200

5700x = 34200

x = 6

For altitude,

y = 2700x

y = 2700(6)

y = 16200

At 6 minutes the two airplanes will be at the same altitude and 16200 be will that altitude.

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Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

Answer:

B

Step-by-step explanation:

First you will add them all up

6+4+10+2=22

Second find the black and green amount and add them together

4+10=14

Thirdly turn this into a fraction

14/22

Lastly simplify

14/11 / 2 = 7/11

Answer:

\(P(R\ or\ odd\ Numbered)=5/7\)

Step-by-step explanation:

From the question we are told that:

Number of Red Marble \(n_r=6\)

Number of Blue Marble \(n_b=8\)

Sample size \(n=n_r+n_b\)

\(n=6+8\)

\(n=14\)

And

No of red or Odd numbered \(x= 6+4 = 10\)

Generally the equation for  probability the marble is red or odd numbered. is mathematically given by

\(P(R or odd Numbered)=x/n\)

\(P(R or odd Numbered)=10/14\)

\(P(R\ or\ odd\ Numbered)=5/7\)

Using it's formula, it is found that the average rate of change in the interval \(\left(\pi, \frac{3\pi}{2}\right)\) is of \(-\frac{16}{\pi}\).

The average rate of change of a function is given by the change in the input divided by the change in the output.

In this problem, the points state that:

Hence the rate is given by:

\(r = \frac{-1 - 7}{\frac{3\pi}{2} - \pi} = -\frac{16}{\pi}\)

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Answer:

100 answer is correct

Step-by-step explanation:

2×10-3×-12+4×11

20+36+44

100 answer is correct

Step-by-step explanation:

2x-3y+4z

x=10

y=12

z=11

2(10)-3(-12)+4(11)

20+36+44

and the answer is 100

(made a lot of mistakes so edited answer!)

good day :)

Answer:

D

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

A simple method is to count the bumps or flex spots on the graph then add 1.

This will give you the smallest degree possible but the actual degree may be higher.  When asked for the smallest, you don't have to worry what the actual might be.  In addition, if you look at the ends of the lines, this can tell you if the degree is an odd or even number.  If the start of the line is going in the opposite direction of the end, then it is odd. Each of these polynomials are odd since the start and end are in opposite directions.

93.  Two bumps so the smallest degree is 3

94.  No real bumps but there is a flex spot and the line changes direction twice.  The line ends go in opposite directions so degree must be odd. So smallest degree is 3

95.  This one could be tough.  Flattened sections like the middle of this can have a smallest degree of 4 or more depending on how long it stays flat.  There are two bumps so without the flattened section the degree is 3 so far.  The degree must be odd since the lines trails off in opposite directions.  Because of the flatness of the middle I would say that section is a degree 4 so I'm guessing the smallest degree is 7.

96.  Two bumps so smallest degree is 3

Parameterize C by the two vector functions,

r(t) = (1 - t) (0, 0) + t (6, 0) = (6t, 0)

with 0 ≤ t ≤ 1, and

s(t) = (6 cos(t), 6 sin(t))

with 0 ≤ t ≤ π/2.

Then the line integral over C is equal to the sum of the line integrals over each path:

\(\displaystyle \int_C dS = \int_0^1 \|r'(t)\| \, dt + \int_0^{\frac{\pi}2} \|s'(t)\| \, dt\)

\(\displaystyle \int_C dS = \int_0^1 \sqrt{6^2 + 0^2} \, dt + \int_0^{\frac{\pi}2} \sqrt{(-6\sin(t))^2 + (6\cos(t))^2} \, dt\)

\(\displaystyle \int_C dS = 6 \int_0^1 dt + 6 \int_0^{\frac{\pi}2} dt\)

\(\displaystyle \int_C dS = 6 + \frac{6\pi}2 = \boxed{6+3\pi}\)

Answer:

the answer is 4x

Step-by-step explanation:

x×x+3x

x+3x

4x

The number of multiple-choice and short-answer questions on a test with 65 questions will be 40 and 25 respectively.

To determine the number of multiple-choice and short-answer questions on a test with 65 questions, we can set up a proportion based on the given ratio:

Multiple-choice questions : Short-answer questions = 8 : 5

Let x be the number of multiple-choice questions.

Let y be the number of short-answer questions.

Using the proportion, we can set up the following equation:

8/5 = x/y

8y = 5x

x = (8y)/5

Since the total number of questions on the test is 65, we have the equation:

x + y = 65

Substituting the expression for x from the previous equation:

(8y)/5 + y = 65

(8y + 5y)/5 = 65

13y/5 = 65

13y = 65 * 5

13y = 325

Dividing both sides by 13:

y = 325/13

y = 25

Substituting this value of y back into the equation x = (8y)/5:

x = (8 x 25)/5

x = 40

Therefore, there are 40 multiple-choice questions and 25 short-answer questions on the test with a total of 65 questions.

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Megan earned £158,900 before tax last year. Her total tax bill was £53,205, which was calculated by finding the tax on each part of her earnings within different tax brackets and adding them up.

A rate is a measure of how one quantity changes in relation to another quantity. It is usually expressed as a ratio of two different units, such as miles per hour or dollars per pound. Rates can be used to compare different values and to make predictions about future outcomes. Common examples of rates include interest rates, exchange rates, and tax rates.

To calculate Megan's tax bill, we need to find the tax on each part of her earnings that falls within the different tax brackets, and then add them up.

For the first £11,000 of Megan's earnings, there is no tax.

For the next £32,000 of Megan's earnings (from £11,001 to £43,000), the tax rate is 20%, so the tax on this portion of her earnings is:

0.2 x 32,000 = £6,400

For the next £107,000 of Megan's earnings (from £43,001 to £150,000), the tax rate is 40%, so the tax on this portion of her earnings is:

0.4 x 107,000 = £42,800

For the portion of Megan's earnings over £150,000, the tax rate is 45%, so the tax on this portion of her earnings is:

0.45 x 8,900 = £4,005

Therefore, Megan's total tax bill is:

£6,400 + £42,800 + £4,005 = £53,205

So, Megan paid £53,205 in total tax for the last year.

Therefore, Megan earned £158,900 before tax last year. Her total tax bill was £53,205, which was calculated by finding the tax on each part of her earnings within different tax brackets and adding them up.

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The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), and the coordinates of B is (-1, 1).

To find the coordinates of point B, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (A and B) can be found by averaging the corresponding coordinates.

Let's denote the coordinates of point A as (x1, y1) and the coordinates of point B as (x2, y2). The midpoint M is given as (-4, 2).

Using the midpoint formula, we can set up the following equations:

(x1 + x2) / 2 = -4

(y1 + y2) / 2 = 2

Substituting the coordinates of point A (-7, 3), we have:

(-7 + x2) / 2 = -4

(3 + y2) / 2 = 2

Simplifying the equations:

-7 + x2 = -8

3 + y2 = 4

Solving for x2 and y2:

x2 = -8 + 7 = -1

y2 = 4 - 3 = 1

Therefore, the coordinates of point B are (-1, 1).

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Answer:

2:3

Step-by-step explanation:

Ratio is indicated by :

Its dogs to cats, right so ratio is number of dogs:number of cats which is 2:3

Hope this helps plz mark brainliest if correct :D

Answer:

2:3

Step-by-step explanation:

2 is first and 3 is the second number so you put them in order

Answer: 42

Step-by-step explanation:

Complementary angles are angles in which the sums equal 90.

90 - 48 = 42.

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

Answer:

4.9 in

Step-by-step explanation:

6/11 = x/9

6/11 times 9 = x

x = 4.9

Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

Answer:

26

Step-by-step explanation:

When we subtract a negative it is like adding

(-16) - (-42)

(-16) + (42)

Re arranging the order

42 -16

26

Answer:

Step-by-step explanation:

The - 42 is going to give trouble.

Two minus signs multiplied together give a plus. In fact any number of even minus signs (2,4,6,8, 1000) multiplied together make a plus.

(-16) + 42 = 26

Answer: 70

Step-by-step explanation:

Diagonals of a rhombus bisect each other at right angles, so

\(x+20=90\\\\x=\boxed{70}\)