After a rotation, A(–3, 4) maps to A'(4, 3), B(4, –5) maps to B'(–5, –4), and C(1, 6) maps to C'(6, –1). Which rule describes the rotation?

Answer:

- 4.9t + 22t= 1.5 is the answer

Answer: a=4 or a= −3, so you can use anyone of the answers.

Step-by-step explanation:

Solve Absolute Value.

|2a−1|=7

We know either 2a−1= 7or 2a−1 = −7

2a−1=7(Possibility 1)

2a−1+1=7+1(Add 1 to both sides)

2a=8

[tex]\frac{2a}{2} = \frac{8}{2}[/tex] (Divide both sides by 2)

a=4

OR,

2a−1=−7 (Possibility 2)

2a−1+1= −7+1 (Add 1 to both sides)

2a= −6

[tex]\frac{2a}{2} =\frac{-6}{2}[/tex] (Divide both sides by 2)

a= −3

Therefor the answers are a=4 or a= −3

* Hopefully this helps:) Mark me the brainliest:)!!

Answer:

4/63

Step-by-step explanation:

The probability of first choosing a blue golf ball and then a pink golf ball, without replacement, from the pocket is 4/63.

The question asks for the probability of selecting a blue golf ball and then a pink golf ball from a pocket that contains 15 white, 8 pink, 3 yellow, and 10 blue golf balls, without replacement. To solve this, we need to find the probabilities of each event happening sequentially and then multiply them.

Firstly, the probability of choosing a blue ball initially is 10 out of the total number of balls (15 white + 8 pink + 3 yellow + 10 blue), which gives us 36.

Therefore, the probability is 10/36 or 5/18. Once a blue ball has been chosen, it is not replaced, so the total count of balls is reduced by one, making it 35, and the count of blue balls is now 9.

Secondly, with the blue ball removed, we now calculate the probability of choosing a pink ball. There would still be 8 pink balls, so the probability of now choosing a pink ball is 8 out of the remaining 35 balls. This gives us the probability of 8/35.

To find the overall probability of both events happening in sequence (first a blue ball, then a pink ball), we multiply the individual probabilities: (5/18) × (8/35) = 40/630, which can be simplified to 4/63.

Answer:

The correct answer option is 192.

Step-by-step explanation:

We are given the results of a random survey about the preferred service for streaming movies.

We are to find the number of people we would expect to prefer Company B.

Number of people using service B = 32

Total number of people = 125

Number of people expected to prefer Company B = [tex] \frac{32}{125} \times 7 5 0 [/tex] = 192

Answer: Option A

192 people[

Step-by-step explanation:

From the participation survey

[tex]n =75+32+18=125[/tex] people

Among these 125 people, only 32 preferred the company B

Now assuming that this sample is representative of the total population, then the probability that a randomly selected person prefers company B is:

[tex]P =\frac{X_B}{n}[/tex]

Where

[tex]X_B=32[/tex]

[tex]n=125[/tex]

[tex]P =\frac{32}{125}[/tex]

[tex]P =0.256[/tex]

Finally, the expected number of people who prefer company B is:

[tex]E = P * m[/tex]

Where m is the number of people in the total population. [tex]m = 750[/tex]

[tex]E=0.256*750[/tex]

[tex]E=192\ people[/tex]

Answer:

50 miles per hour

Step-by-step explanation:

Hello!! The answer is 11x/22z

Your Welcome

11x/22z is the answer because the reciprocal just means you flip the fraction so the top is on on the bottom and vise versa

For this case we make a rule of three:

[tex]\frac {1} {3}[/tex] jar ---------------> [tex]\frac {3} {8}[/tex] pizza

x -----------------------------------------> 1 pizza

Where the variable "x" represents the amount of sauce jars to make a pizza.

[tex]x = \frac {1 * \frac {1} {3}} {\frac {3} {8}}\\x = \frac {8} {9}[/tex]

So, you need [tex]\frac {8} {9}[/tex] jars of sauce to make a pizza.

Answer:

[tex]\frac {8} {9}[/tex]

Answer:

Final answer is [tex]\frac{8}{9}[/tex] of a jar.

Step-by-step explanation:

Given that Archie used 1/3 of a jar of tomato sauce to make 3/8 of a pizza. Now we need to find about how many jars of tomato sauce will Archie need to make one whole pizza.

We can setup ratio of sauce and pizza to easily solve that problem.

Let amount of sauce needed to make 1 pizza = x

then ratio will be :

[tex]\frac{sauce}{pizza}=\frac{x}{1}=\frac{\frac{1}{3}}{\frac{3}{8}}[/tex]

[tex]\frac{x}{1}=\frac{\frac{1}{3}}{\frac{3}{8}}[/tex]

[tex]x=\frac{\frac{1}{3}}{\frac{3}{8}}[/tex]

[tex]x=\frac{1}{3}\cdot\frac{8}{3}[/tex]

[tex]x=\frac{8}{9}[/tex]

Hence final answer is [tex]\frac{8}{9}[/tex] of a jar.

Answer:

A) Obtuse.

Step-by-step explanation:

Angles of value between  90 and 180 degrees are called obtuse.

Answer:

obtuse

Step-by-step explanation:

because an obtuse angle is any angle from 91°-180°

Answer:

D,1

Step-by-step explanation:

look at the wavelengths

Answer: For plato user the correct answer is C

Step-by-step explanation:

Just took the test and got it correct

Answer:

It's the last choice.

Step-by-step explanation:

| n | ≤ 2  represents the distance between n and 0 that is less than or equal to 2.  The dots on the 2 and -2 are black because the equal sign is part of the inequality.

Note the vertical lines about the n mean the absolute value of n - the positive distance between  n and 0, which has a maximum of 2 either side of the 0.

The correct number line shows the solution for |n| ≤ 2 is shown in Option D.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

Inequality is,

⇒ | n | ≤ 2

Now, We can simplify as;

⇒ | n | ≤ 2

This gives,

⇒ n ≤ 2

⇒ - n ≤ 2

⇒ n ≥ - 2

Hence, The solution is belong in [- 2, 2].

Which shown in Option D.

So, The correct number line shows the solution for |n| ≤ 2 is shown in Option D.

Learn more about the inequality visit:

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Answer:

I believe the answer is C. Point

Step-by-step explanation:

Hope my answer has helped you!

Answer:

The correct answer is option C - point

Step-by-step explanation:

The definition of an angle uses the undefined term : POINT

An angle has two rays that share a common endpoint.

This common point is also referred to as the vertex.

Angles that meet at 90 degrees are called right angles.

Angles that are less than 90 degrees are called acute angles.

Angles that are exactly 180 degrees are called straight angles.

Answer:

The measure of angle LMW is

[tex]m\angle LMW=67\°[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc MW

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m\angle MLK=\frac{1}{2}[arc\ MW+arc\ WK][/tex]

substitute the given values

[tex]65\°=\frac{1}{2}[arc\ MW+68\°]\\ 130\°=[arc\ MW+68\°]\\ arc\ MW=130\°-68\°=62\°[/tex]

step 2

Find the measure of arc LK

we know that

[tex]arc\ LM+arc\ MW+arc\ WK+arc\ LK=360\°[/tex] -----> by complete circle

substitute the given values

[tex]164\°+62\°+68\°+arc\ LK=360\°\\ 294\°+arc\ LK=360\°\\ arc\ LK=360\°-294\°=66\°[/tex]

step 3

Find the measure of angle LMW

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m\angle LMW=\frac{1}{2}[arc\ LK+arc\ WK][/tex]

substitute the given values

[tex]m\angle LMW=\frac{1}{2}[66\°+68\°]=67\°[/tex]

Answer:

No solution

Step-by-step explanation:

Anyone of the values of x satisfies the equation. We can see it even calculating with basic math. If x is 0, then -41 -2(0) + 61 = -24

-41 +61 =-24

20 = -24 is incorrect

If x is -6, then -41 -2(-6) =-24

-41+12=-24

-29 = -24 incorrect.

If x is 6, then -41-2(6) + 61 = -24

-41-12+61 = -24

-53 + 61 = -24

8 = -24 is incorrect.

So it has no solution.

Answer:

1. y=0.35x+35

2. If 979 minutes are used, the total cost will be $377.65 dollars.

Step-by-step explanation:

1. Let $x be the flat monthly fee and $y be the amount of money paid per minute used on the phone.

If a customer uses 210 minutes, the monthly cost will be $108.5, thus

[tex]x+210y=108.5[/tex]

If the customer uses 620 minutes, the monthly cost will be $252, then

[tex]x+620y=252[/tex]

Subtract from the second equation the first one:

[tex]x+620y-(x+210y)=252-108.5\\ \\x+620y-x-210y=143.5\\ \\410y=143.5\\ \\y=0.35[/tex]

Substitute it into the first equation

[tex]x+210\cdot 0.35=108.5\\ \\x=108.5-73.5\\ \\x=35[/tex]

We get the flat fee is $35 and the amount of money per minure used is $0.35. So, the equation of the function is

[tex]y=35+0.35x,[/tex]

where x is the number of monthly minutes used and y is the total monthly of the NextFell plan.

2. When x=979, then

[tex]y=35+0.35\cdot 979=377.65[/tex]

Answer:

V = 18 pi unit ^3

Step-by-step explanation:

Volume of a cylinder is given by

V = pi r^2 h

where r is the radius and h is the height

V = pi * (3)^2 *2

V = pi *9(2)

V = 18 pi unit ^3

The volume of a cylinder is

(Pi) x (radius squared) x (height) .

Using this, you can FIND the volume of any cylinder, even when you don't know it. This one is 18 pi cubic units.

Answer:

31

Step-by-step explanation:

An entire amount is 100% of the amount.

50% is half of 100%, so 50% means the same as half.

Half of 62 is the same as 62/2 = 31

Answer: 31

Generally you would need to do a [tex]\frac{part}{whole}[/tex] proportion but there is a shorter way to do just the specific question. If you would like to know how to do the proportion version let me know

Since it asks for 50% of 62 it means that it's looking for half of 62, so all you have to do is divide 62 by 2 which is...

62/2 = 31

31 is 50% of 62

Hope this helped!

Answer: A=2

Explanation:

1: c=25

2: 2a=20

3: 1 a=20

Answer:

Maybe a C if the grade is summative

Step-by-step explanation:

F's are not hard to raise, you're gonna need more than 2 A's to get a "passing grade." Try extra credit!

Step-by-step explanation:

ΔADG - NO (it's an equilateral triangle)

ΔAFH - NO (it's an equilateral triangle)

ΔBCH - NO (it's an equilateral triangle)

ΔBEH - NO (it's an equilateral triangle)

ΔBFG - YES

ΔCDG - YES

ΔEFG - YES

ΔDFG - NO (it's an equilateral triangle)

All equilateral triangles have the sides equal a√2 (a - length of edge).

ΔBFG has sides a, a√2 and a√3.

From Inverse Pythagorean Theorem:

a² + (a√2)² = (a√3)²

a² + 2a² = 3a²

3a² = 3a²     CORRECT :)

ΔCDG and ΔEFG have sides a, a and a√2.

From Inverse Pythagorean Theorem:

a² + a² = (a√2)²

2a² = 2a²        CORRECT :)

Answer:

3.3 hours

Step-by-step explanation:

10/3≈3.3

Answer:

You just have to divide 10 by 3 since John takes 10 hours to paint the fence

it would take 3.3 hours for john and his friends to finish painting the fence

Step-by-step explanation:

Answer:

option D is correct.

Step-by-step explanation:

The real number y=a is the root of the polynomial f(y) if and only if

f(a) =0

So, when we see a graph of the polynomial, the x-intercepts are the real roots of the graph f(y)

We can find x-intercept of graph, by looking at the graph and finding out points that touch the x-axis on the graph.

In the graph given the points -6 and 2 touch the x-axis of the graph, So these are the real roots of the graph.

So, option D is correct.

Answer:

14.2 is the diameter.

Step-by-step explanation:

The radius squared = 52.

What you have given is the general equation of the circle with a center at (2,-3) and a radius of sqrt(52)

You can break the 52 down.

sqrt(52) = sqrt(4 * 13) = 2 sqrt(13). Notice that 4 is a perfect square.

d = 2*radius.

d = 2(2 sqrt(13) )

d = 4 sqrt(13)

That is the diameter. You want it to the nearest 1/10

d = 14.222 but it is to the nearest 1/10

d = 14.2

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

We have the equation:

[tex]y-4=5(x-2)[/tex]

Therefore

m = 5

(x₁, y₁) = (2, 4)

Answer:B The slope is 5 and (2,5) is on the line

Step-by-step explanation:

.

Answer:

5/28 (Decimal: 0.178571)

Step-by-step explanation:

(−2/7) (5/−8)

= −2/7 (5/−8)

=−2/7 (−5/8)= 5/28

Answer:

35,38,41,44,47,50,....

Step-by-step explanation:

n ∈N means that n is an element of Natural numbers

Natural numbers are whole non-negative numbers

n ≥ 1, means that n = 1, 2, 3, 4, 5, 6,........

tn = 32 + 3n

the first term t1 = 32 + 3(1)

                            32 + 3 = 35

the second term t2 = 32 + 3(2)

                                   32 + 6 = 38

the third term t3 = 32 + 3(3)

                              32 + 9 = 41

Answer:

360 km

Step-by-step explanation:

we know that

The scale of the map is

1:1,500,000

That means

1 cm on a map ------> represent 1.500.000 cm in the actual

or

1 cm on a map ------> represent 15,000 m in the actual

or

1 cm on a map ------> represent 15 km in the actual

therefore

In this problem

24 cm on a map-------> represent 24*15=360 km actually

The actual length of the river Severn is 360 kilometers.

To determine the actual length of the river Severn, we need to apply the map scale to the map length. The scale given is 1:1,500,000, which means that 1 unit of measurement on the map corresponds to 1,500,000 of the same units in reality.

The map length of the river Severn is given as 24 cm. To find the actual length, we multiply the map length by the scale factor:

[tex]\[ \text{Actual length} = \text{Map length} \times \text{Scale factor} \] \[ \text{Actual length} = 24 \, \text{cm} \times 1,500,000 \][/tex]

Since the scale is in centimeters to kilometers, we need to convert the map length from centimeters to kilometers before multiplying by the scale factor. There are 100,000 centimeters in a kilometer, so:

[tex]\[ 24 \, \text{cm} = \frac{24}{100,000} \, \text{km} \] \[ 24 \, \text{cm} = 0.00024 \, \text{km} \][/tex]

Now, we multiply this by the scale factor:

[tex]\[ \text{Actual length} = 0.00024 \, \text{km} \times 1,500,000 \] \[ \text{Actual length} = 360 \, \text{km} \][/tex]

Therefore, the actual length of the river Severn is 360 kilometers.

Answer:

Step-by-step explanation:

5t=41

The equation to determine the cost, c, of each zoo ticket when five zoo tickets cost a total of $41 is 'c = $41 / 5'.

To find the cost of each zoo ticket, we need to divide the total cost of all the tickets by the number of people. Given that 5 people's zoo tickets cost a total of $41, we can set up the equation for this situation like this:

c = $41 / 5

Here, 'c' represents the cost of each zoo ticket in dollars. The equation suggests that when you divide the total cost ($41) by the total number of tickets (5), you get the cost of each individual ticket (c).

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Answer:

-6.42

Step-by-step explanation:

looked it up swwaa

Step-by-step explanation:

2y² = 13y

2y² − 13y = 0

y (2y − 13) = 0

y = 0, y = 13/2

It can be tempting to divide by y at the beginning, but if you do, you lose one of the solutions.  Instead, move everything to one side and factor.

The solutions to the equation 2y²=13y are y = 0 and y = 6.5. This is achieved by setting up the equation to zero, factoring it out and applying the zero product property.

To solve the provided equation, 2y²=13y, you'll need to set the equation to zero by moving all the terms to one side: 2y² - 13y = 0. This becomes a quadratic equation in the form ax² + bx + c = 0.

Factor the equation by taking out a common factor of 'y', yielding y(2y - 13) = 0. According to the zero product property, if a product is zero then at least one of the factors must be zero. This means that y = 0 or 2y - 13 = 0. Solving the second equation gives y = 6.5.

So, the solutions of the equation are y = 0 and y = 6.5.

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Answer:

The graph is shifted 3 units to the left

Step-by-step explanation:

Answer:

The parent graph will shift 3 units to the right.

Step-by-step explanation:

We are given that there is this parent graph with the equation [tex] y = | x | [/tex] and if we graph [tex] y = | x + 3 | [/tex], what are the changes that will be made to the parent graph to get this.

Since there is addition of 3 units in x, therefore the parent graph will shift 3 units to the right side.