Mathematics College

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Answer 1

Trapezium T is reflected across line x = 3 to form trapezium U and reflected across line x = 7 to form tralpelzium V

The figure is attached

What is reflection over a line

Reflection across a line is a geometric transformation which mirrors a point, shape or figure exactly across a pre-defined plane known as the Line of Reflection.

In other words, the size and general outline are kept in tact while orientations are adjusted. Furthermore, each corresponding point on either side of the Line of Reflection is found to be equidistant from the said axis and lies along a perpendicular line.

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Part A:
List the three different types of visuals we use to organize all the possible outcomes in a sample space
1
2
3.

Part B:
Leena is arranging 3 different books in a row on a shelf. A detective story (D), a mystery story (M), and a comic book (C)
1. Pick one of the three types of visuals you listed in Part A to create a sample space for the arrangement of all possible outcomes for arranging the 3 books on a shelf. (1 point)
Fill in the Blank I will choose to create a
for this scenario
2. Create your visual either by hand or using technology

Answers

The three different types of visuals we use to organize all the possible outcomes in a sample space are:

Tree DiagramsTablesVenn Diagrams

How to explain the information

For the second part of the question, select one of the three styles of graphical representation you listed in Part A to make a sample space for all probable results for putting the 3 books on a rack.

The table will show every feasible end result for setting up the 3 books on a rack.

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Al had ____ Pennie’s initially

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AI initially had 786,432 pennies.

We have,

Let P be the initial number of pennies AI had.

According to the problem:

AI gives 3/8 of P pennies to Bev.

Bev gives 3/8 of what she got from AI to Carl.

Carl gives 3/8 of what he got from Bev to Dani.

Set up an equation to solve for P.

Let's start by finding how many pennies Dani gets from Carl:

Carl gives 3/8 of what he got from Bev to Dani, so Dani gets:

(3/8) x (3/8) x (3/8) x P pennies from Carl.

Next, let's find how many pennies Carl gets from Bev:

Bev gives 3/8 of what she got from AI to Carl,

So Carl gets (3/8) x (3/8) x P pennies from Bev.

Now we can substitute this expression for the number of pennies Carl gets from Bev into the expression for the number of pennies Dani gets from Carl:

Dani gets (3/8) x (3/8) x (3/8) x P pennies from Carl = (3/8) x (3/8) x (3/8) x (3/8) x P pennies from Bev =  (3/8) x (3/8) x (3/8) x (3/8) x (3/8) x P pennies from AI.

We know that Dani gets 378 pennies, so we can set this expression equal to 378 and solve for P:

(3/8) x (3/8) x (3/8) x (3/8) x (3/8) x P = 378

Simplifying this expression:

P = 378 x (8/3) x (8/3) x (8/3) x (8/3) x (8/3)

P = 786,432

Therefore,

AI initially had 786,432 pennies.

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Hitzu Company sold a copier (that costs $6,500) for $13,000 cash with a two-year parts warranty to a customer on August 16 of Year 1. Hitzu expects warranty costs to be 4% of dollar sales. It records warranty expense with an adjusting entry on December 31. On January 5 of Year 2, the copier requires on-site repairs that are completed the same day. The repairs cost $121 for materials taken from the parts inventory. These are the only repairs required in Year 2 for this copier.

1. How much warranty expense does the company report for this copier in Year 1?
2. How much is the estimated warranty liability for this copier as of December 31 of Year 1?
3. How much is the estimated warranty liability for this copier as of December 31 of Year 2?
4. Prepare journal entries to record (a) the copier’s sale; (b) the adjustment to recognize the warranty expense on December 31 of Year 1; and (c) the repairs that occur on January 5 of Year 2.

Answers

The warranty expense that the company report for this copier in Year 1 is $650.

The estimated warranty liability for this copier as of December 31 of Year 1 is $650

The estimated warranty liability for this copier as of December 31 of Year 2 is $556

How to calculate the value

The warranty expense that the company report for this copier in Year 1 is:

= 13000 × 5%

= $650.

Also, the estimated warranty liability for this copier as of December 31 of Year 2 is $556

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A civil patrol unit of 15 members includes 4 officers. In how many ways can 3 members be selected for a search and rescue mission such that at least 1 officer is included?

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Step-by-step explanation:

There are 4 ways to select an officer

   multiply this by the number of ways to select  2 others from the 15

4  *   15 C 2 = 4 *  15!/(2!13!)  = 420 ways to select

The translation (x - 5,y + 11) is applied to a triangle. Maryanne makes a conjecture about the perimeter of the image of the triangle, tests the conjecture, and finds that it is true. What could have been her conjecture?

Answers

Answer: Maryanne's conjecture could have been that the perimeter of the image of the triangle will be the same as the perimeter of the original triangle.

Step-by-step explanation:

I have to add this problem

5/8+2/8

giving 10 points:)

Answers

The addition of the given fraction expression is 7/8.

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.

When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.

In this case, both fractions have a denominator of 8, so we can add their numerators:

5/8 + 2/8 = (5 + 2)/8 = 7/8

Thus, the sum of 5/8 and 2/8 is 7/8.

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The sum of three consecutive integers is 108. What are the integers?​

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Answer:

Step-by-step explanation:

hello :

let : x ,x+1 ,x+2   three consecutive integers

x +x+1 +x+2 = 108

3x =105

x = 105/3

x = 35

35  ,  36  , 37

14. A clothing store has a cost of producing t-shirts at $4.50 per unit. The store also has a
monthly rent charge of $500. The store sells each t-shirt for $12.00 each.

Write an equation to model the store's profits each month:

Answers

Answer:

there gonna have to buy 120 to pay the rent

Use the numbers in the multiplication equation 28 times 1/7 = 4 to write a division equation involving divison by a fraction

Answers

Changing the multiplication sign to a division sign, we will have 28 ÷ 7

Multiplication and division rule :-

Given the product of 28 and 1/7, we are to write a division equation involving division by a fraction.

Given,

28 * 1/7 = 4

Changing the multiplication sign to a division sign, we will have:

28 * 1/7 = 28/7

This can also be written as 28 ÷ 7

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