40 POINTS! Use the following figure to answer BOTH parts the question.

(a) Describe in words a sequence of transformations that maps ∆ABC to ∆A''B''C''.

(b) Write an ordered-pair rule for each transformation in the sequence.

Answer: 37 Notebooks

Step-by-step explanation:

Set up and inequality equation where x is the unknown amount of notebooks Mr. Richmond can purchase.

1.60x less than or equal to $60.

Inverse Operations 60/1.60 = 37.5

But, round down, since you can't buy half a notebook so;

Mr. Richmond can purchase 37 notebooks.

Answer:

10000/p.

Step-by-step explanation:

r = pq/100

pq = 100r

q = 100r/p

As a percentage of r:

we have P = q * 100/r

P = 100r/p * 100/r

   = 10,000r / rp

   = 10000/p

Answer: 0/5

Step-by-step explanation:

Answer:

1/6 I used a calculator

Step-by-step explanation:

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

Answer:

48

Step-by-step explanation:

3/4 becomes 0.75 in decimal form

36/0.75=48

The solution of 36 divided by 3/4 in simplest form is,

⇒ 48

We have to given that,

To simplify 36 divided by 3/4 in simplest form.

It can be written as,

⇒ 36 ÷ (3/4)

⇒ 36 × 4/3

⇒ 12 × 4

⇒ 48

Therefore, The solution of 36 divided by 3/4 in simplest form is,

⇒ 48

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Answer:

If d meaning mile it will be 20x13

The ending balance of retained earnings for Sultan Inc. as at December 31, 2021 is $40,100

What is the retained earnings at the end of 2020?

The retained earnings at the end of 2020 is the net earnings for 2020 minus the dividends paid in 2020 , in other words, the 2020 ending balance of retained earnings are computed as shown  below:

retained earnings for 2020=$31,000-$14,200

retained earnings for 2020=$16,800

However, we need to determine additional retained earnings in 2021 which is also ascertained as net earnings minus dividends paid

additional retained earnings in 2021=$42,000-$18,700

additional retained earnings in 2021=$23,300

the ending balance of retained earnings for Sultan Inc. as at December 31, 2021=2021 balance of retained earnings+ additional retained earnings in 2021

the ending balance of retained earnings for Sultan Inc. as at December 31, 2021=$16,800+$23,300

the ending balance of retained earnings for Sultan Inc. as at December 31, 2021=$40,100

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c=26

d=31

You can church my answer by substituting them in and finding the inner two missing angles. per triangle all three angles should add up to 180.

Answer:

(5, 1)

Step-by-step explanation:

-4+6-1=1.

The nuts left with Pablo after using 840 g of nuts to make 7 packets is 392 g.

We are given that:

Pablo has

Cashew nuts = 638 g

Peanuts = 594 g

He now has mixed the nuts.

Total amount of nuts will be calculated by using addition.

Total amount of nuts = T = 638 g + 594 g

T = 1232 g

He has made a total of 7 packets and in each packet, he has put 120 g of nuts.

Total nuts used = 7 × 120 g = 840 g

Nuts left with Pablo = 1232 g - 840 g

Nuts left = 392 g

Therefore, we get that the nuts left with Pablo after using 840 g of nuts to make 7 packets is 392 g.

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1. Finding the first five numbers in each sequence is as follows:

2. The ordered pairs with the corresponding terms of the sequences are (0, 0), (2, 4), (4, 8), (6, 12), (8, 10), and (10, 20).

3. For the graph, I cannot draw one for you, but Sequence 1 will be on the Y-axis, starting with zero, and Sequence 2 on the X-axis.

The line intercepts will subsequently meet at (2, 4), (4, 8), (6, 12), (8, 10), and (10, 20).

A sequence is an ordered pattern of numbers or objects.

The length of a sequence describes the number of elements.

Pattern rule for Sequence 1: Start with zero and add 2

Pattern rule for Sequence 2: Start with zero and add 4

Sequence 1:   0   2 (0 + 2)    4 (2 + 2)   6 (4 + 2)    8 (6 + 2)    10 (8 + 2)

Sequence 2:  0   4 (0 + 4)    8 (4 + 4)   12 (8 + 4)  16 (12 + 4)  20 (16 + 4)

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The correct option regarding whether the graph distorts the data is:

B. Yes, because the graph incorrectly uses objects of volume to represent the data.

When we are showing absolute amounts of two or more data-sets, the correct representation should be of graphs like histograms or bar graphs.

For this problem, the objective is to show the daily oil consumption in two countries, and they are shown as the volumes of a cylinder, which gives the idea that the amount in country A is considerable more than 4 times country B, that is, distorting the data.

Conversely, a bar graph or a histogram would show the right ratio between these two amounts.

Hence the correct option is:

B. Yes, because the graph incorrectly uses objects of volume to represent the data.

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Answer:

  exterior

Step-by-step explanation:

You want to know if (3, 2) is an interior or exterior point of the circle defined by (x -5)² +(y +3)² = 25.

We can find the square of the distance of the point from the center of the circle using the equation for the circle.

  (x -5)² +(y +3)² = r²

  (3 -5)² +(2 +3)² = 4 +25 = 29 > 25 . . . . use (x, y) = (3, 2) in the equation

The point is farther away from the center than points that are on the circle. The point (3, 2) is an exterior point.

The product of a complex number and a real number represented on the complex plane is 6 - 12i

Complex number is a number expressed in the form a + ib

where

a is the real part

b is the imaginary part

Given the complex and real number as shown;

3(2−4i)

Using the distributive law;

3(2) - 3(4i)

6 - 12i

Hence the product of a complex number and a real number represented on the complex plane is 6 - 12i

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Answer: 25/18 ==> C

Step-by-step explanation:

5/6 divided by 3/5=

5/6 / 3/5 =

5/6 * 5/3 =      ==> dividing by a number is the same as multiplying by its reciprocal

5*5/(6*3)=25/18 ==> C

The length of the line segment PS will be 35 units when PR is 24 units and RS is 11 units.

We are given the length of two line segments as:

PR = 24 units

RS = 11 units

Now, we need to find the length of PS.

We will use the operation of addition here as PS will be equal to the sum of PR and RS. Addition refers to the basic operation of mathematics that is used to simplify and evaluate an expression or an equation.

So, we get that:

PS = PR + RS

Substituting the values, we get that:

PS = 24 units + 11 units

PS = 35 units

Therefore, we get that, the length of the line segment PS will be 35 units when PR is 24 units and RS is 11 units.

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The intervals that represent the number line is c) {[tex]x|-8\leq x < 3[/tex]}

Which intervals are included in the number line?

It is a means of expressing subsets of the real number line. The numbers between any two particular provided numbers are referred to as an interval. For instance, the interval containing 0, 5, and all other integers between 0 and 5 is the set of values x satisfying [tex]0\leq x\leq 5[/tex].

Numbers from [tex]x=-8[/tex] (inclusive because the circle is closed) to [tex]x=3[/tex](exclusive because the circle is closed) make up the painted range.

Hence,{ [tex]x|-8\leq x < 3[/tex]}

Therefore, the intervals that represent the number line is

c){[tex]x|-8\leq x < 3[/tex]}

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Answer:

c

Step-by-step explanation:

2 spaces after the decimal

Answer:

0

Step-by-step explanation:

forgotten sorry

The value of the given equation the value of x : (3 , -10)

Definitions: A quadratic equation is a second-order polynomial equation in some kind of a single variable x ax2+bx+c=0. Because it is a second-order polynomial problem, the fundamental theorem of fundamental algebra guarantees therefore it has at least one solution.

the student haven't solved the equation properly he has not expanded the equation:

According to the given data:

The given equation is f(x) = (x - 3)² - 10

(x - 3)² - 10 = 0

this could be expand and write as:

x² + 9 -6x - 10 = 0

x² -6x -1 = 0

The vertex of an up-down facing parabola of the form y=ax^2+bx+c is Xv.

The parabola params are:

a=1, b=-6, c=-1

[tex]\:x_v=-\frac{b}{2a}[/tex]

[tex]x_v=-\frac{(-6)}{2 \cdot 1}[/tex]

Xv = 3

Putting x = 3 to get the value of y

we get:

y = -10

(3 , -10)

The value of the given equation the value of x : (3 , -10)

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The expression is simplified to x = 10/ a

Subject of formula is defined as a variable which is expressed in terms of other variables involved in a given formula or expression.

Given the expression;

2 - ax = -8

Let's make 'x' the subject of formula

collect like terms

-ax = -8 - 2

Subtract like terms

-ax = - 10

Divide both sides by -a

-ax/ -a = - 10/-a

Find the ratio

x = 10/ a

Thus, the expression is simplified to x = 10/ a

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729.1  is the total capacity in gallows of a rectangular tank .

What is rectangle?

1 Foot height  can store  =  200 ltrs

Height of tank = 5 m = 500/30.48 = 16.4 ft

Total Capacity = 200 * 16.4 =3280.8 ltr

There were  several gallons in use. One gallons  is roughly =  4.5 ltr

Hence the  capacity in  gallon  = 3280.8/4.5 = 729.1

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Answer:

Answer: A ray starts from a point and goes to infinity. A line has no end points. A line segment has two endpoints. A line segment connects both endpoints.

Step-by-step explanation:

did this explain it

Answer:

23 doesn't equal 2

Step-by-step explanation:

Answer:

it is already lowest terms

Step-by-step explanation:

The values of the set functions after the matching are:

So, we have D = {x | x is a whole number}.

Similiarly, E = {x | x is a perfect square < 100}.

Similarly, F = {x | x is an even number between 10 and 20}.

Now, D∩E = The common values from sets D and E.

D∩F = F

Now, D∩(E∩F) = {16}.

DU(E∩F) = D ( This means all whole numbers)

D∩(EUF) = {1,,4,9,12.14,16,18,35,36,47,64,81}

Therefore, the values after the matching are:

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The value is XY : QR = 1 : 3

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

Given: Δ PQR, Point X and Y are on sides PQ and PR,

         XY || QR

In Δ PQR

∠PXY = ∠PQR   ( Corresponding angles )

∠PYX = ∠PRQ    ( Corresponding angles )

Now,  In ΔPQR and ΔAXY

∠P = ∠P  ( common )

∠PXY = ∠PQR   ( given )

∠PYX = ∠PRQ    ( given )

ΔPQR ~ ΔAXY by AAA similarity Criteria.

We get,

PX/ XQ = PY/PR = XY/QR

PX/ XQ = PY/PR = 1/2

PQ = 1 + 2 = 3

PX/ PQ=1/3

hence, the ratio is XY : QR = 1 : 3

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