AA'B'C' is dilated using a scale factor of with a center of dilation at vertex A'

to form A"B"C". What are the coordinates of A"B"C"? Show your work.

The **coordinates** of A"B"C" are as follows :

A = 1 1/2,3

B = 1 1/2,0

C = -4 1/2, 3.

What are coordinates?Using one or more numbers, or coordinates, a coordinate system in **geometry **establishes a unique way to locate points or other geometrical objects on a manifold, such** Euclidean space**. a group of numbers representing a **precise place**. On graphs, there are typically two numbers: the first one indicates the length along, and the second one indicates the length up or down. For instance, the value of the point (12,5) is 12 units. In general, **alphanumeric characters** are used to express GPS coordinates, which are a distinctive identifier of a certain geographic location on the **globe**. Points of intersection in a grid system are referred to as coordinates in this context. Typically, the **latitude** and **longitude** coordinates are used to represent GPS coordinates.

Five units up and along.

90degrees clockwise is x, y, y, -x.

A = 1,2

B = 1,0

C = -3, 2.

Times everything by 3/2 now.

A = 1 1/2,3

B = 1 1/2,0

C = -4 1/2, 3.

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Is it possible to perform two reflections of an object so that the final image is identical to the original image? If so, give an example. If not , explain your reasoning

**Answer:**

Yes, it is possible

**Step-by-step explanation:**

Take a function y= f(x). When it is reflected across the x-axis the x-coordinates do not change but the y coordinates become the negative of the pre-image

In other words reflection f'(x) of f(x) over the x-axis is y = -f(x)

If we reflect f'(x) over the x-axis then the resultant reflection is

f''(x) = -f'(x) = -(-f(x)) = f(x)

So we get the original image after two consecutive reflections along the x-axis

please help, please omg

**Answer:**

**Step-by-step explanation:**

I believe the equation would be 3(f-5)=60.

The answer to that equation would be:

3(f-5)-60

3f-5=60 ** Open parentheses**

3f=60+5 **Take 5 to the other side**

3f=65 **Add 60 and 5**

f=65/3 ** Divide the sum of 60 and 5 with 3**

f=21.6 Answer

Use normal approximation to estimate the probability of getting more than 52 girls in 100 births. Assume that boys and girls are equally likely.

The **probability **of getting more than 52 **girls **in 100 births is 0.3446

This is further explained below.

What is theGenerally, The ratio of **females **to **boys **per one hundred births is modeled here as:

[tex]\large X \sim Bin(n = 100, p = 0.5)[/tex]

Where

Bin shows binomial

n=sample size

p=sample proportion

The following is an approximation of this using the normal distribution:

[tex]\large X \sim N(\mu= np, \sigma^2 = np(1-p))\\\\\large X \sim N(\mu= 100*0.5 , \sigma^2 = 100*0.5*0.5)\\\\\large X \sim N(\mu= 50 , \sigma^2 = 25)\\\\\large X \sim N(\mu= 50 , \sigma = 5)[/tex]

In light of this, the formula for calculating the **probability **is as follows:

P(X > 52)

When we take into account the continuity correction factor, we obtain the following:

P(X > 52.5)

After transforming it into a regular variable according to the standards, the following is what we get:

P(Z > (52.5 - 50) / 5)

= P(Z > 0.5)

Taking this information from the usual **normal tables**, we get the following:

P(Z > 0.5) = 0.3085

in conclusion, the necessary probability in this scenario is 0.3085. It should be noted that we may do this without correcting the **continuity**, in which case:

P(X > 52)

[tex]= P(Z > (\frac{52 - 50}{ 5})[/tex]

= P(Z > 0.4)

= 0.3446

Hence, the necessary **probability **in this scenario is 0.3446.

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Please help me, it is important

**Answer:**

True

False

False

False

**Step-by-step explanation:**

1) a rhombus is a quadrilateral that has four equal sides. The angles do not have to be 90°, but if they are 90°, it would be a square.

2) Rhombus has all four sides equal A rectangle does not have to have all four side lengths equal.

3) A quadrilateral means that it is a four sides figure. A rectangle is a 4 sided figure will parallel sides and opposite sides of equal length.

4) Parallelograms mean that the opposite sides have to be equal. A rectangle is a parallelogram, but it does not have to be a square.

What is NOT another name for line qA) line RLB) line LQC) line LGD) line RG

In the given figure, RL, LG and RG are line segments, which are portions of a line q connecting two endpoints.

Therefore, RL, LG and RG a are another name of line q.

LQ is not another name of line q.

So, option **B **is correct.

What integer would represent a withdrawal of $170?

The withdrawal of $170 can be represented as -$170.

Since **withdrawal **results in a **deduction** of the money from the total amount, Hence, it will be represented as a **negative value**.

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Can someone help me solve this please? Karen Gaines invested $14,000 in a money market account with an interest rate of 1.75% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment on a new house. How much did Karen withdraw from the account?

Answer:

Given that,

Karen Gaines invested $14,000 in a money market account with an interest rate of 1.75% compounded semiannually.

Six years later, Karen withdrew the full amount to put toward the down payment on a new house.

To find the amount withdraw.

we know that, formula for finding amount of compound interest as,

[tex]A=P(1+\frac{r}{100})^n[/tex]where P is the principal, nis the number of years, r is the rate of interest per annum.

Given that, interest rate of 1.75% compounded semiannually, therefore number of years is 6x2=12 years.

Substitute the values we get,

[tex]A=14000\times(1+\frac{1.75}{100})^{12}[/tex][tex]=14000(1.0175)^{12^{}}[/tex][tex]=14000(1.2314)[/tex][tex]=17240.15[/tex]Karen withdraws** $17,240.15 from the account.**

-10=5/7(-7)+b

Solve for B

**Answer: b = -5**

**Step-by-step explanation:**

-10 = 5/7 (-7) +b

-10 = -5 + b

-5 = b

Bananas are priced at $0.39 per pound. If Harvey buys 7 pounds of bananas, whatwill he expect to pay?

**Answer:**

**He is expected to pay $2.73**

**Explanation:**

We can solve this, by adding 0.39 7 times:

[tex]2\text{ }pounds\text{ }of\text{ }bananas:0.39+0.39=0.78[/tex][tex]3\text{ }pounds\text{ }of\text{ }bananas:0.78+0.39=1.17[/tex][tex]4\text{ }pounds\text{ }of\text{ }bananas:1.17+0.39=1.56[/tex][tex]5\text{ }pounds\text{ }of\text{ }bananas:1.56+0.39=1.95[/tex][tex]6\text{ }pounds\text{ }of\text{ }bananas:1.95+0.39=2.34[/tex][tex]7\text{ }pounds\text{ }of\text{ }bananas:2.34+0.39=2.73[/tex]Thus, 7 pound of bananas cost $2.73

A side of the triangle below has been

extended to form an exterior angle of 64°.

Find the value of x.

16⁰

Answer:

X =

64°

xº

The measure of the **interior angle **x is 48°.

A triangle is a three-sided** closed-plane** figure formed by joining three noncolinear points.

We know that **sum **of all the interior angles of a triangle is 180°.

The measure of an exterior angle of a triangle is equal to the sum of the two **opposite** interior angles.

Given, An **exterior **angle that measures 64° and two opposite interior angle measuring 16° and x°.

∴ x° + 16° = 64°.

x = (64 - 16)°.

x = 48°.

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Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought.

Using the **graph**, where the **vertical axis** represents ounces of food and **horizontal axis** represents the days bag was bought,

a. It took 24 days for the cat food to be 16 ounces

b. The weight of the bag before it was opened is 56 ounces,.

How to solve graphs?The **graph** represents the number of ounces of cat food that were left in the bag and the days it was bought.

The **vertical axis** represents the ounces of cat food bought while the **horizontal axis **represents the days since the bag was bought.

Therefore, according to the **graph**, the days the bag takes to contain 16ounces of cat food can be calculated as follows:

According to the y-axis, the ounces of cat food reduces as the days goes by.

If you trace 16 ounces of cat food to the horizontal side, it shows it took 24 days for the cat food to be 16 ounces.

The amount the bag weigh before it was open should be on zero's days.

Therefore, the amount of bag is 56 ounces before it was opened.

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What kind of transformation converts the graph of f(x)=3x+9 into the graph of g(x)=3x–10?

The **transformation **of the **functions **from f(x) to g(x) is translate 7 units right and 2 units up

The equations of the **functions** are given as

f(x) = 3x + 9

g(x) = 3x - 10

Let the **translations **from f(x) to g(x) be h and k

So, we have

g(x) = f(x + h) + k

This gives

f(x + h) = 3(x + h) + 9 + k

Open the brackets

f(x + h) = 3x + 3h + 9 + k

Substitute f(x + h) = 3x + 3h + 9 + k in g(x) = f(x + h) + k

g(x) = 3x + 3h + 9 + k

This means that

3x + 3h + 9 + k = 3x - 10

Evaluate the like terms

3h + 9 + k = - 10

This gives

3h + k = - 19

Express -19 as -21 + 2

3h + k = -21 + 2

Express 21 as 3 * 7

3h + k = -3 * 7 + 2

By comparison, we have

h = -7 and k = 2

This means that the **transformation **is 7 units right and 2 units up

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Another music store rents trombones for $30 per month plus a yearly fee of $48. Which deal is better? Should Maria change her rental plan? Part A: Maria needs a trombone for only 12 months. Renting the trombone costs $34 per month. She can buy the trombone for $495. Should she buy or rent the trombone? Explain. How much does she pay? dont have to answer part a but u can if u want i only put it there so u can see it all, thank you friend: )

**Answer:**

Yearly fee of $48 is better

**Step-by-step explanation:**

It is obvious. We know that a year have 12 months so if we compare between the $30 per months deal (which is $360 a year when we multiple it with 12) and the $48 a year deal, the difference is $312 which is a lott.

If Maria only want to use it for a month then its fine but if she want to use it more than 1 month, she definitely should choose the no 2 deal because if she even only rent it for 2 months using the no 1 deal ($30+$30=$60), the no 2 deal ($48) is far more better with a $12 difference.

Part A: Just like the top we know that its costs $34 per month and we need to know how much it would costs for 12 months/a year. So we just have to multiple it with 12=$408. Now which is better $495 or $408? Of course its $408 right? Maria could save $87 with renting the trombone than buying the trombone.

12. Luis bought stock at $83.60. The next day, the price changed by -4 3/4 What

was the final stock price?

The** final **stock price will be **equal **to $87.57.

**Percentage **may be defined as a form of expressing a number as a fraction of **hundred.** To find the percentage of a number we divide the number by the total amount and then **multiply **the answer with hundred. We have the initial value of stock price as $83.60, and the stock price changed by 4.75%. Now, if we find 4.75% 0f $83.60 we get

(4.75/100) × $83.60 = $3.97 which is the change occurring in price. We add this amount in the **initial amount** and we get $83.60 + $3.97 = $87.57. If we look at the initial and final amount of stock, we see that Luis benefitted from the stock as he **gained** an amount of $3.97.

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The graph shows a linear relationship between x and y. What is the rate of change of y with respect to x for this function?

A) 2

B) -2

C) -1/2

D) 1/2

**Answer:**

A

**Step-by-step explanation:**

the slope of the line is a measure of the rate of change.

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line

m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

the rate of change of y with respect to x is 2

**Answer:**

A) 2

**Step-by-step explanation:**

Rise over run,

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]

-2 will be [tex]x_{1}[/tex] and -3 will be [tex]y_{1}[/tex]

2 will be [tex]x_{2}[/tex] and 5 will be [tex]y_{2}[/tex]

It doesn't matter which order you place the points, for [tex]x_{1}[/tex], or [tex]x_{2}[/tex] but [tex]x_{1}[/tex] and and [tex]y_{1}[/tex] must be one point while [tex]x_{2}[/tex] and [tex]y_{2}[/tex] must be one point.

Then, we replace the values to find:

[tex]\frac{5-(-3)}{2-(-2)}[/tex]

We then simplify this expression to [tex]\frac{8}{4} = 2[/tex]

Therefore, our slope for this function is 2

WHAT IS THIS ANSWER I NEED HELP PLSSS :(

**Answer:**

6.9

**Step-by-step explanation:**

6 4/5 in decimal form is 6.8.

6.9 is higher than 6.8 but lower than 7.

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

………..………………….hhhhhhhhhhhhg

…………………….poooooooooooooooooooo

Find the missing number so that the equation has no solutions.

-4x - 15 = X-7

**Answer:4 and 3**

**Step-by-step explanation:**

2. Given the perimeter of the figure is 35 km,

Find the missing side length.

X

9 km

4 km

3 km

12 km

**Answer:**

x = 7 km

**Step-by-step explanation:**

Perimeter of a polygon is P = sum of the sides of a polygon

In this figure we are given all the sides except one designated as x and the perimeter

We can add up all the sides and solve for x

Sum of sides = 4 + 3 + 12 + 9 + x

Perimeter = 35

=> 4 + 3 + 12 + 9 + **x **= 35

=> 28 + **x** = 35

=> **x** = 35 - 38 = 7

I'm not sure how to answer this.

X is 97

This is because angles that are diagonal to each other are equal.

Since both lines are parallel, they are equal.

Part b)

Alternate angles (alternate angles are diagonal angles on different lines, which explains the situation above)

This is because angles that are diagonal to each other are equal.

Since both lines are parallel, they are equal.

Part b)

Alternate angles (alternate angles are diagonal angles on different lines, which explains the situation above)

Please help! Attachment is above

I can’t figure out 6 and 10

The **solution** of m for question 6 and the value of z for question 10 does not exist.

According to the question,

We have the following information,

6) 1/3 + 2m/3 = 2m/3-2/3

Now, moving the terms with the same **variables** in one side:

2m/3-2m/3+1/3 = -2/3

Now, when 2m/3 is subtracted from 2m/3 then we have no variable left.

So, the solution of this equation does not **exist**.

10) 2.5(2z+5) = 5(z+2.5)

Now, multiplying the numbers outside the bracket into bracket:

5z+12.5 = 5z+12.5

Moving the terms with the same variables on one side:

5z-5z+12.5 = 12.5

Now, when 5z is **subtracted** from5z then we have no variable left.

So, the solution of this equation does not exist.

Hence, the solutions of the equation 6 and equation 10 does not exist.

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Imagine that 1 in 5 individuals is allergic to peanuts. A peanut allergy test gives a positive result 10% of the time. If someone has a peanut allergy, the test will give a positive result 40% of the time. What is the probability that you have a peanut allergy if the test result is positive?.

The **probability** that you have a **peanut allergy** given a positive test result is 50%.

To find the **probability** that you have a peanut allergy given a positive test result, we can use **Bayes' theorem**.

Let's define the following events:

A: You have a peanut **allergy**.

B: The test result is **positive**.

We are given the following **probabilities**:

P(A) = 1/5 = 0.2 (1 in 5 individuals is **allergic** to peanuts).

P(B|A) = 0.4 (if you have a **peanut allergy**, the test will give a positive result 40% of the time).

P(B|not A) = 0.1 (if you don't have a **peanut allergy**, the test will give a **positive result** 10% of the time).

We want to find P(A|B), which is the **probability** that you have a peanut allergy given a positive **test result**.

**Bayes' theorem** states:

P(A|B) = (P(B|A) × P(A)) / P(B)

Now, let's calculate P(B):

P(B) = P(B|A) × P(A) + P(B|not A) × P(not A)

P(not A) is the **probability** of not having a **peanut allergy**, which is equal to 1 - P(A):

P(not A) = 1 - P(A) = 1 - 0.2 = 0.8

Now, we can calculate P(B):

P(B) = (0.4 × 0.2) + (0.1 × 0.8) = 0.08 + 0.08

= 0.16

Now, let's calculate P(A|B) using** Bayes' theorem**:

P(A|B) = (P(B|A) × P(A)) / P(B)

P(A|B) = (0.4 × 0.2) / 0.16

P(A|B) = 0.08 / 0.16

P(A|B) = 0.5

Therefore, the **probability** that you have a **peanut allergy** given a positive test result is 50%.

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A teacher makes Hawaiian popcorn

for the 26 students in her class by adding 1 batch of

Hawaiian popcorn seasoning to 13 cups of popcorn.

Each student gets 2 cups of popcorn. How many

batches of seasoning does the teacher use?

The **number** of seasoning batches required by the teacher is 4.

Given, there are 26 students in a class.

The teacher is adding 1 batch of hawaiian popcorn seasoning to 13 cups of popcorn.

Each **student **gets 2 cups of popcorn.

If 26 students are getting 2 cups of popcorn, then the** total cups** required by the students will be :

26×2

= 52 cups.

Now, one batch of seasoning is consumed by 13 cups.

how many batches of seasoning will be required for 52 cups = ?

⇒ 13 cups + 13 cups + 13 cups + 13 cups = 52 cups

Hence 4 batches of seasoning is required for 26 students to get two cups each popcorn with seasoning.

Therefore** 4 batches** of seasoning the teacher used.

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Consider the first five terms of the following sequence

-5, -10, -20, -40, -80, ...

If the sequence defines a function, what is a reasonable domain and range of the function?

PLS HELP!!

A reasonable **domain** and **range** of the **function** is as follows:

A **domain** can be defined as the set of all real numbers for which a particular** function** is defined. This ultimately implies that, a **domain** is the set of all possible input numerical values (numbers) to a **function** and the **domain** of a graph comprises all the input numerical values which are shown on the x-axis.

By critically observing the given sequence, we can reasonably and logically deduce that it follows the following **function** rule:

f(x) = -5(2)^{x - 1}

When x = 1, we have:

f(x) = -5(2)^{1 - 1}

f(x) = -5(2)^{0}

f(x) = -5

When x = 2, we have:

f(x) = -5(2)^{2 - 1}

f(x) = -5(2)^{1}

f(x) = -10

When x = 3, we have:

f(x) = -5(2)^{3 - 1}

f(x) = -5(2)^{2}

f(x) = -5(4)

f(x) = -20

When x = 4, we have:

f(x) = -5(2)^{4 - 1}

f(x) = -5(2)^{3}

f(x) = -5(8)

f(x) = -40

When x = 5, we have:

f(x) = -5(2)^{5 - 1}

f(x) = -5(2)^{4}

f(x) = -5(16)

f(x) = -80

Therefore, a reasonable **domain** and **range** of the function is given by:

Domain is equal to {1, 2, 3, 4, 5, ....}

Range is equal to {-5, -10, -20, -40, -80, ....}

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Evaluate the expression picture attached 50 POINTS

**Answer:...**

**Step-by-step explanation:**

Write a rule of reflection

???????

**Answer:**

(x, y) to (-y,-x)

**Step-by-step explanation:**

You have to find the reflection which is the opposite so the opposite of x is -x the opposite of y is -y!

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish, given this equation?

A. From the starting position of 7 meters below sea level, the fish is descending 3 meters per second.

B. From the starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

C. From the starting position of 3 meters below sea level, the fish is descending 7 meters per second.

D. From the starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

The statement that best describes the depth of the fish based on the given **equation** is: C. From the starting position of 3 meters below sea level, the fish is descending 7 meters per second.

A negative slope implies a negative constant rate of a** linear equation**. In slope-intercept form, the **linear equation** is expressed as y = mx + b, where the constant rate is represented as "m", while the starting value is represented as "b".

In the given scenario, the **equation** y = -7x - 3 models the depth, y, the fish swims below the sea level at x number of seconds.

This implies that:

The starting value (b) = -3, represents the starting position of the fish, which is 3 meters below the sea level.

-7 is the constant rate of the **linear equation**, which is the rate at which the fish is descending below the sea level, which is: 7 meters per second. The best statement is therefore: C.

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A candy store sells lollipops and the money they collect is shown in the graph. x=number of lollipops y=cost Select the true statement. 2 Select one: O Each lollipop costs $1.50 O Each lollipop costs $0.75 2 4 O Each lollipop costs $0.25 Each lollipop costs $1.00

X is the number of lillipops

y is the cost

the first point on the graph is **1 unit **away from origin through x axis and **0.75 unit **unit away from origin through y axis

so, **x = 1 , y =0.75**

The second coordinate is **2 unit **away from origin through x axis and **1.5 unit **away from origin through y axis

**Answer: 0.75**

**Step-by-step explanation:**

Note the graph of an athletes performance after finishing a triathlon the X axis measures time in hours and the Y axis measures distance in kilometers first she swam, then biked, and then She finished the race with a run the data states she ran four times as fast as she swam and she biked twice as fast as she ran based on the graph choose the statement below that is false

From the graph, the athlete spent 2 hours biking (from hour 1 to hour 3)

And, the athlete spent 3 hours running (from hour 3 to hour 6)

Then,** the athlete spent equal amounts of time biking and running is false**

does anyone know what to put on these boxes?

**Answer:**

answer c=3p in different ways.

**Step-by-step explanation:**

so the first one I think you put muliplys of 3..annd the second one you put a graph of 3

hat is the value of ?The solution is
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