B The table represents the location of QRST before and after a reflection. Use the table to
answer 3-5.
3. Give a verbal description of the transformation.
PRE-IMAGE
Q(-9,-8)
R(-9, -2)
S(-4,-2)
T(-4,-8)
IMAGE
Q'(9,-8)
R(9,-2)
S(4, -2)
?
4. Which best represents the transformation algebraically?
a. (x, y) b. (-x, y) c. (-x, -y)
d. (x + 18, y)
5. Find the location of T

Answer:

x^2-4-8

Step-by-step explanation:

x^2-4(x+2)

x^2-4x-8

Construction of a wastewater treatment plant is expected to cost $3 million, and operational expenses are estimated separately.

A wastewater treatment plant is an essential infrastructure for companies to effectively treat and dispose of their wastewater in an environmentally responsible manner. The construction of such a plant involves significant costs, but it also offers long-term benefits.

The cost of constructing a wastewater treatment plant is estimated to be $3 million. This cost includes various components such as land acquisition, engineering and design, equipment installation, and construction labor. Additionally, there may be expenses related to obtaining necessary permits and complying with environmental regulations. Companies need to budget and allocate funds for these expenditures to ensure the successful implementation of the project.

Once the construction is completed, the operation and maintenance of the wastewater treatment plant will incur ongoing costs. These costs include energy consumption, chemical usage, labor for plant operation, routine maintenance, and compliance monitoring. It is crucial for the company to consider these operational expenses in their financial planning.

Investing in a wastewater treatment plant brings several benefits to the company. Firstly, it ensures compliance with environmental regulations, avoiding penalties and legal issues that may arise from improper wastewater disposal. Secondly, it helps protect the environment by treating the wastewater before it is discharged, reducing the negative impact on water bodies and ecosystems. Additionally, it can enhance the company's reputation as a responsible corporate citizen, demonstrating their commitment to sustainability and environmental stewardship.

In conclusion, while the construction of a wastewater treatment plant involves a significant initial investment of $3 million, it is a worthwhile endeavor for companies to effectively treat and dispose of their wastewater. The ongoing operation and maintenance costs are necessary to ensure the plant operates efficiently and meets environmental standards. The benefits of such a plant include regulatory compliance, environmental protection, and positive brand image.

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Answer:

315

Step-by-step explanation:

Where the above conditions exist,

The random variable T = L + C represents the total time it takes Lorelei and Chance to finish a randomly selected 3-layer wedding cake. Since L and C are independent and Normally distributed, T is also Normally distributed with mean:

Mu_T = Mu_L + Mu_C = 37 + 52 = 89

and variance:

Var(T) = Var(L) + Var(C) = 12^2 + 7^2 = 193

So the standard deviation of T is:

Sigma_T = sqrt(Var(T)) = sqrt(193) = 13.89

The shape of T is also Normally distributed, since it is a sum of two independent Normally distributed variables.

To find the probability that Lorelei and Chance finish a randomly selected 3-layer wedding cake in under 90 minutes, we need to calculate the z-score for this value and then find the corresponding probability from the z-table. The z-score is:

z = (90 - 89) / 13.89

= 0.072

From the z-table, we find that the probability of a Z-score less than or equal to 0.072 is 0.5287.

Therefore, the probability that Lorelei and Chance totally finish a randomly selected 3-layer wedding cake in under 90 minutes is 0.5287 or approximately 53%.

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hi

Step-by-step explanation:

Answer: If you are bored, try Khan Academy, or answer questions on brainly.

Answer:

16 + 104 = 120 square inches

Step-by-step explanation:

13 x 8 = 104

17 - 13 = 4

4 x 8 =32

32 divided by 2 is 16

so 16 +104 = 120

Answer:

4n + 6p + 3

Step-by-step explanation:

3n + 6p + 3+n​

In this equation, 3n + n are like terms. Adding 3n + n together gives 4n

4n + 6p + 3

Answer:

1.71539657854

Step-by-step explanation:

Order Of Operation — Also known as BODMAS says to solve Bracket first then Roots or Exponents, Divide, Multiply, Add and finally Subtract.

However, while solving an equation we need to multiply before subtraction isn't always necessary.

For Example :-

Here we need to solve the brackets first and in order to solve the brackets we need to subtract before multiplying.

As we know (12 - 6 = 6) so,

➔ 3 + 2 × 6

➔ 3 + 12

➔ 15

In the equation above, we subtracted 6 from 12 before multiplying 2 with it that was because (12 - 6) were inside brackets.

Taking Another Example :-

Solving Brackets first, (1 + 2 = 3)

➔ 10 - 6 ÷ 3

➔ 10 - 2

➔ 8

In the second example, we added 1 & 2 before dividing 6 by it that was because (1 + 2) were inside brackets.

Thus,

Following Order Of Operation (BODMAS) doesn't always means to multiply before subtraction, we can Subtract first if the number to be subtracted is inside Brackets.

\(\begin{gathered}\begin{gathered}\: \begin{gathered}\begin{gathered} \footnotesize{\boxed{\boxed{\begin{array}{cc} \\ \\ \bf{ \: \: \: B = Bracket \: \: \: } \\ \\ \bf{ \: \: \: O = Order \: \: \: } \\ \\ \bf{ \: \: \: D = Divide \: \: \: } \\ \\ \bf{ \: \: \: M = Multiply \: \: \: } \\ \\ \bf{ \: \: \: A = Add \: \: \: } \\ \\ \bf{ \: \: \: S = Subtract \: \: \: } \\ \\ \: \end{array}}}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\)

\(\bf{\pmb{\underline{\rule{170pt}{5pt}}}}\)

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Answer:

MJK=90

MJL=63

JLK=63

KML=27

MNL=126

Step-by-step explanation:

If this is a perfect rectangle, then I should be correct:

Each angle of a rectangle is 90 degrees, so MJK is 90

Since we know angle KJL is 27, and MJK is 90, just subtract them to get 63.

Angle JLK should be equal to angle MJL so it is also 63

Angle KML should be equal to angle KJL so it would also be 27

And finally, angle JKN should be 27 so 27+27=54. And since all angles of a triangle add up to 180, you can get angle MNL by subtracting 180-54 to get 126 because angle MNL and JNK/KNJ are equal to each other

To multiply a square root by a square root and a whole number, you can use the distributive property of multiplication

Given data ,

Let the numbers be represented by the expression A

Now , the value of A is

A = √2 × 3√5

First, you can simplify each square root:

√2 = 1.4142 (rounded to 4 decimal places)

3√5 = 5.1962 (rounded to 4 decimal places)

Next, you can multiply the two simplified square roots and the whole number:

√2 × 3√5 = 1.4142 × 5.1962 × 3

= 22.3607 × 3

= 67.0821

Hence , the expression is A = √2 × 3√5 = 67.0821

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Answer:

62 miles per hour/62 mph

Step-by-step explanation:

Shania drives at a CONSTANT rate, which means in the 5 hours it took her to drive, each hour she drove the same amount.

So we need to do 310 miles in 5 hours, which is:

310/5

Solving this, we get:

62

The answer is 62 miles per hour.

Happy learning!

Answer:

62 mph.

Step-by-step explanation:

If it took her 5 hours to drive 310 miles. You would divide 310 by 5. You would get 62. Because she drove at a constant rate, she did not slow down or go faster. It is 62 mph.

Answer:

a) 1.24 g/ml

b) 2.4%

Step-by-step explanation:

density = mass/volume

volume of sample = 28.4 - 15 = 13.4mL

density = 13.4/10.8

=1.24 g/ml

percent error

1.27 - 1.24 = 0.03

0.03/1.24 *100% = 2.4% error

Answer:

11x2+6x

Step-by-step explanation:

Answer: its either 21x^2 +2x or 11x^2-6x Im not sure which one is solved correctly :/

Step-by-step explanation:

8x^2+4x-6x^2+2+7x^2-2x

21x^2 +2x

or

(8x^2+4x-6x2)2+7x^2-2x

-12x^2+8x+16x^2+7x^2-2x

11x^2-6x

Given the inverse demand function p = 100 - 20q for toasters and a price of $35, we can find the consumer surplus.

First, we'll find the quantity demanded at the given price:

35 = 100 - 20q
20q = 100 - 35
q = (100 - 35) / 20
q = 65 / 20
q = 3.25

Now, to find the consumer surplus, we'll use the formula:

Consumer Surplus = (1/2) × Base × Height

The base represents the quantity (q = 3.25) and the height is the difference between the maximum willingness to pay (p = 100) and the actual price (p = 35).

Consumer Surplus = (1/2) × 3.25 × (100 - 35)
Consumer Surplus = 0.5 × 3.25 × 65
Consumer Surplus = 105.625

So, the consumer surplus is $105.63 when rounded to two decimal places.

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Jennifer has 48 nickels, which means she has 144 quarters.

Let's call the number of nickels Jennifer has "n".

Since Jennifer has three more dimes than nickels, she has n + 3 dimes.

And since she has three times as many quarters as nickels, she has 3n quarters.

We can start by figuring out the total value of the nickels and dimes in terms of cents:

n * 5 cents + (n + 3) * 10 cents = 750 cents

Expanding the right side of the equation and solving for n:

5n + 10n + 30 cents = 750 cents

15n + 30 cents = 750 cents

15n = 720 cents

n = 48

So Jennifer has 48 nickels, which means she has 3 * 48 = 144 quarters.

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The statement that correctly rounds the GPA to the hundredth position is b. newgpa = round(gpa, 2).

Rounding to the hundredth position means keeping only two decimal places. To do this in Python, we use the round() function with a second argument of 2, which specifies the number of decimal places to keep. Therefore, the correct statement is b. newgpa = round(gpa, 2).

It's important to understand what each of the answer choices means to see why b is the correct option. Option a. newgpa = round(gpa, 100) would round the GPA to the nearest multiple of 100, which is not what we want. Option c. newgpa = round(gpa, .01) and d. newgpa = round(gpa, '$.01') are invalid statements because the second argument of the round() function must be an integer, not a string or float. Therefore, the only valid option is b. newgpa = round(gpa, 2), which rounds the GPA to two decimal places.

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In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance  statistic is computed.

What is Analysis of variance ?

What are some instances where ANOVA has been applied?

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Aaron's taxable income is negative (-$10,100), it means that he does not have any taxable income.

To determine the amount of taxable income for Aaron Rentz in 2020, we need to consider his wages, interest income, and any deductions or credits he may be eligible for.

From the given information, Aaron has $900 of wages and $1,400 of interest income.

In 2020, the standard deduction for a single individual was $12,400. Since Aaron is a qualifying child of his parents, he may not be able to claim his own personal exemption.

To calculate Aaron's taxable income, we subtract the standard deduction from his total income:

Taxable Income = Total Income - Standard Deduction

Taxable Income = $900 + $1,400 - $12,400

Taxable Income = $2,300 - $12,400

Taxable Income = -$10,100

Since Aaron's taxable income is negative (-$10,100), it means that he does not have any taxable income.

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The given expression is of the form y=mx+c. Comparing, we get the slope as 7.

The direction and steepness of a line are represented numerically by the slope or gradient of the line. It provides the ratio of how much y rises when x rises by a particular amount. The general form is therefore y=mx+c, where c represents the y-intercept and m represents the slope. This form gives the slope-intercept form.

Given the expression is  y=7x+3. Comparing this expression with the general form we get, slope or gradient as 7 and y-intercept as 3. Therefore, the required answer is 7.  

The complete question -

What is the gradient of the line y=7x+3?

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By mathematical induction, the formula holds for all positive integers n, and the Tower of Hanoi game with n discs can be solved with a minimum of 2n - 1 steps.

Explain:

I will use mathematical induction to show that the equation I derived in answer 1 holds for the bare minimum of movements needed to solve the Tower of Hanoi game for any specific number of discs.

Let's first review the formula:

Code's minimal motion count is 2n - 1, where n is the total number of discs.

Base case: The least number of moves needed is 21 - 1 = 1, which corresponds with the formula when there is only one disc and we can move it from the beginning peg to the ending peg with just one move.

Step one of induction: Assume that the formula is valid for n=k, where k is a positive integer. If so, then 2k - 1 moves are the absolute least needed to solve the Tower of Hanoi game using k discs. We must demonstrate that the formula also applies to n=k+1, i.e., that 2(k+1) - 1 movements are all that are needed to solve the Tower of Hanoi game with k+1 discs.

We can divide the issue into three steps to move k+1 discs from the starting peg to the ending peg:

Step 1: Using the ending peg as a spare, move k discs from the beginning peg to the spare peg.

Step 2: Transfer the final disc from the beginning to the finish peg.

Step 3: Using the beginning peg as a spare, move the k discs from the spare peg to the ending peg.

According to the inductive hypothesis, Step 1 and Step 3 both necessitate a minimum of 2k - 1 moves. The least amount of moves necessary to complete the procedure is one for Step 2, making a total of:

scss

Duplicate the formula-conforming code 2k - 1 + 1 + 2k - 1 = 2(k+1) - 1.

As a result, by mathematical induction, the formula is true for all positive integers n, and 2n - 1 movements are all that are needed to solve the Tower of Hanoi game with n discs.

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The unknown angle x in the triangle is 80 degrees

From the question, we have the following parameters that can be used in our computation:

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

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The length of the line segment using the percentage are as follows:

25% length = 1 cm

50% length  = 2cm

100% length = 4 cm

75% length = 3 cm

The line segment 8 cm is 200% . This means it is double of 100%.

Therefore the length can be calculated using the percentage as follows;

100% length = 8 / 2 = 4 cm

Hence,

75% length = 75 / 100 × 4 = 3 cm

Hence,

25% length = 25 / 100 × 4 = 1 cm

50% length = 50 / 100 × 4 = 2cm

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The solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

As per data the system of linear equations,

\(\[ \left\{\begin{array}{c} x+2 y+3 z=9 \\ 2 x-y+z=8 \\ 3 x-z=3 \end{array}\right. \] 1)\)

Write the system in the matrix form \(\( A . X=B \)\)

We know that the matrix form of the system of linear equations is as follows.

\(\[A. X = B\]\)

Where

\(\[A=\begin{pmatrix} 1 & 2 & 3 \\ 2 & -1 & 1 \\ 3 & 0 & -1 \end{pmatrix}\[X=\begin{pmatrix} x \\ y \\ z \end{pmatrix}\]\)

and

\(\[B=\begin{pmatrix} 9 \\ 8 \\ 3 \end{pmatrix}\]2)\)

To solve the system, we can use row reduction method.

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 2 & -1 & 1 & 8 \\ 3 & 0 & -1 & 3 \end{pmatrix}\]\)

Applying the elementary row operations

\(\[R_{2}\to R_{2}-2R_{1}\]\)

and

\(\[R_{3}\to R_{3}-3R_{1}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & -6 & -10 & -24 \end{pmatrix}\]\)

Now applying the elementary row operations

\(\[R_{3}\to R_{3}-(6/5)R_{2}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & 0 & -1 & -2 \end{pmatrix}\]\)

Now, we need to apply back substitution method. Using the third row, we can get the value of z as z = 2.

Now, using the second row,

\(\[-5y - 5z = -10\]\\\-5y - 5(2) = -10\]\)

Solving this equation, we get y = 0.

Finally, using the first row, we can get the value of x as

\(\[x + 2y + 3z = 9\]\\x = 3\]\)

Hence, the solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

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Answer:

B because the 3 interior angles of any triangle adds up to 180 degrees.

Step-by-step explanation:

Answer:

w = 0.9

Step-by-step explanation:

What I did is I subtracted 2.7 from 3.7 bc it was the least number and that gave me 1 so that left me with 0.43 = w - 0.47. Then I added 0.47 to 0.43 and that gives me 0.9 which would be the answer

If you don't understand how I got it I can try to explain a little better, but hopefully, you understand:)