Given △XYZ with vertices X(2, 4), Y(6, 0), and Z(7, 2) what is its image after the composition
Translation: (x, y) → (x + 12, y + 4)
Translation: (x, y) → (x − 5, y − 9)

Cost price is also known as CP. cost price is the original price of an item. The cost is the total outlay required to produce a product or carry out a service. Cost price is used in establishing profitability in the following ways: Selling price (excluding tax) less cost results in the profit in money terms.

A "selling price" is the price that the seller gives. something that he/she wants or is offering to sell. The item has not been sold. yet. A "sale price" could be the price that was actually paid by a buyer

1.

she earns if she babysits 3 children for 4 hours= $63.

solution :

Given :

Latoya earns $1.75 an hour for each child she babysits

Total Number of babysitting hours for 3 child= 3x12=36 hours

let,

Total amount earned by Latoya: S

S= 36x1.75

S= $63

she earns if she babysits 3 children for 4 hours= $63.

2.

James's total after the discount = $108.75

Given :

his total before the discount is $145.20

receives a 25% discount on his purchases

Solution :

Buy price = MRP X DISCOUNT /100

Let the Buying price is c

c = 145x25/100

c = 145/4

c= $ 36.25

= MRP - DISCOUNT

Let James's total after the discount =  p

p= 145-36.25

p= $108.75

3.

paid back after the third week= 19.5

Given :

Kegan borrows $78 from his sister.

Time = 4 week

each week Payment = 78/4=19.5

paid back after the third week= 19.5

4.

Ashley spends at the grocery= $8.34

Solution :

a loaf of bread = $1.09,

a pound of turkey = $4.59,

2 cans of soup =2x$0.79 each=$ 1.58

4 oranges = $0.27 x4= $1.08

Ashley spend at the grocery= 1.09 + $4.59, +$ 1.58+ $1.08 =$ 8.34

Ashley spends at the grocery= $8.34

5.

joe ticket is less Jackie's by 236-227=  $9

Solution :

Jackie buys a one-way ticket to Nevada=$118

a one-way ticket back home=$118

Total = $118x2 =$236

But

Joe buys a round-trip ticket to Nevada for $227

joe ticket is less Jackie's by 236-227=  $9

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Answer: 56 inches

Step-by-step explanation:

a. 60+58+64+72=254 (Add the average of his family without including him)

a. 62x5=310 (The average times 5, cause there are 5 of them will get you the total number of inches)

b. 310-254=56 (Subtract the total number of the 5 of them with the 4 of them to find Bill's height)

you can check your answer by adding all their heights.

Information security and ethics is defined as an all encompassing term that refers to all activities needed to secure information and systems that support it in order to facilitate its ethical use

ETHICS:

Derived from the Greek word “ethos”, which means “way of living”, ethics is a branch of philosophy that is concerned with human conduct, more specifically the behaviour of individuals in society. Ethics examines the rational justification for our moral judgments; it studies what is morally right or wrong, just or unjust.

In a broader sense, ethics reflects on human beings and their interaction with nature and with other humans, on freedom, on responsibility and on justice. It can be said that in general, ethics is concerned with human independence when it focuses on the relationship that exists between humans and the world

This independence is the primary condition in ethical decision-making and in any objective analysis of the facts. Individuals demonstrate independence when, in a decision-making process, they choose to free themselves as much as possible from their conditioning. Insofar as this operation assumes a degree of lucidity that allows us to judge objectively and to decide what direction to take, it will be understood that making ethical decisions is difficult.

SECURITY:

Security for information technology (IT) refers to the methods, tools and personnel used to defend an organization's digital assets. The goal of IT security is to protect these assets, devices and services from being disrupted, stolen or exploited by unauthorized users, otherwise known as threat actors. These threats can be external or internal and malicious or accidental in both origin and nature.

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2√10/3 is irrational number

The term "rational number" refers to any number that can be stated as a fraction, as well as a positive, negative, or zero. If q is not equal to zero, it can be expressed as p/q.

The word "rational" is derived from the word "ratio," which is a fraction and really refers to a comparison of two or more values or integer numbers. It is the ratio of two integers, to put it simply.

Consider the rational integer 3/2. It denotes that the integer 3 is divided by the number 2.

Irrational numbers are those that are not rational in nature. Let's explain; irrational numbers can be expressed as decimals but not as fractions, hence they cannot be expressed as the ratio of two integers.

After the decimal point, irrational numbers have an infinite amount of non-repeating digits. Here's an illustration of an irrational number:

For instance, 8 = 2.828

MULTIPLYING THE TWO NUMBERS,

2/√18 x 2√5

= 2 /3√2 x 2√5

= 4√5/3√2

= 2√2 x √5 /3

= 2√10/3

rational number multiplied by an irrational number is always a irrational number.

Since √10 is a irrational number, therefore, 2√10/3 is irrational number.

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Answer:

I forgot the answer

Step-by-step explanation:

3.2*10^8, 1.2*10^8, 7*10^5, 5*10^3

We need to know how to solve quadratic equation for this problem. The solution of the equation is x=1 and x=10.

An equation that has a variable with maximum degree two is called a quadratic equation. A quadratic equation can be solved by factorization method. Factorization method is a method where we group the variables together to find common factors among them. The common factors give the solution of the equation. Since a quadratic equation has variable of degree two it has two solutions. The roots of a quadratic equation can be real and unequal, real and equal or imaginary. If we solve the given equation we get a quadratic equation.

[tex]\frac{1}{x} +\frac{1}{x-10} =\frac{x-9}{x-10} \\\frac{x-10+x}{x(x-10)} =\frac{x-9}{x-10} \\2x-10=x(x-9)\\2x-10=x^{2} -9x[/tex]

[tex]x^{2} -9x-2x+10=0\\x^{2} -11x+10=0\\x^{2} -10x-x+10=0\\x(x-10)-1(x-10)=0\\(x-1)(x-10)=0\\[/tex]

Therefore the solution of the equation is x=1 and x=10.

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The scores of two groups can be compared using coefficient of variation;

Coefficient of variation (C.V.) = (Standard Deviation/ Mean) × 100%;

For Data set 1;

Standard deviation = 3.6

Mean = 35.3

C.V. = (3.6/35.3) × 100%;

       = 10.19%

For Data set 2;

Standard deviation = 0.5

Mean = 34.1

C.V. = (0.5/34.1) × 100%;

       = 1.46%

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Here is what the student wrote (re-pasting for clarity)

C = 1.9 x 9.95

C = 18.91

C = $18.91

The error happens in the 1st line

Why? Because the 1.9 should be 1.09

The 1.9 represents a tax of 90% when we want a 9% tax instead

In other words, 9% = 9/100 = 0.09 while 90% = 90/100 = 0.9

-----------------

This is what the steps should look like

C = 1.09 x 9.95

C = 10.8455

C = 10.85

Don't forget to round to the nearest hundredth, aka nearest penny.

The total cost, after sales tax, is $10.85

A pilot flew a jet from City A to City B, a distance of 2000 mi. On the return trip, the average speed was 20% faster than the outbound speed. The round-trip took 9 h 10 min. What was the speed from City A to City B?

Answer: No

Step-by-step explanation:

No because its off by 1 point, -1/2, 0, 1/2

A linear pair , m∠7 = 58°, m∠6 = 122° are the measurement of each angle.

What is Linear Pair?

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.

Linear Pairs add up to equal 180°.

Step 1: Define

m∠6 + m∠7 = 180°

2m∠6 = 4m∠7 + 12

Step 2: Rewrite systems of equations

I will set m∠6 = x and m∠7 to y

x + y = 180°

2x = 4y + 12

Step 3: Rewrite 2nd equation

2x = 2(2y + 6)

x = 2y + 6

Step 4: Use Substitution

2y + 6 + y = 180

3y + 6 = 180

3y = 174

y = 58°

Step 5: Find x by plugging y back into an original equation

x + 58 = 180

x = 122°

Step 6: Rewrite

x = m∠6

y = m∠7

m∠6 = 122°

m∠7 = 58°

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Answer:2

Step-by-step explanation:

Answer:

[tex]\textsf{1.} \quad \dfrac{1}{5^5}[/tex]

[tex]\textsf{2.} \quad \dfrac{1}{5^7}[/tex]

[tex]\textsf{3.} \quad \dfrac{4^{21}}{5^{6}}[/tex]

[tex]\textsf{4.} \quad \left(2^6\right)^{-5}[/tex]

[tex]\textsf{5.} \quad \dfrac{1}{5^6}=\dfrac{1}{5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 }[/tex]

Step-by-step explanation:

Question 1

[tex]\textsf{Given}: \quad \dfrac{5^5}{5^8}[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies \dfrac{5^5}{5^8}=5^{(5-8)}=5^{-3}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies 5^{-3}=\dfrac{1}{5^3}[/tex]

--------------------------------------------------------------

Question 2

[tex]\textsf{Given}: \quad \dfrac{5^{-4}}{5^3}[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies \dfrac{5^{-4}}{5^3}=5^{(-4-3)}=5^{-7}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies 5^{-7}=\dfrac{1}{5^7}[/tex]

--------------------------------------------------------------

Question 3

[tex]\textsf{Given}: \quad \left(\dfrac{4^{7}}{5^2}\right)^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies \left(\dfrac{4^{7}}{5^2}\right)^3=\dfrac{4^{(7 \cdot 3)}}{5^{(2 \cdot 3)}}=\dfrac{4^{21}}{5^{6}}[/tex]

--------------------------------------------------------------

Question 4

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies \left(\dfrac{1}{5}\right)^2 \cdot\left(\dfrac{1}{5}\right)^6=\left(\dfrac{1}{5}\right)^{2+6}=\left(\dfrac{1}{5}\right)^8[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies \dfrac{9^3}{9^4}=9^{(3-4)}=9^{-1}=\dfrac{1}{9}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies 7^3 \cdot 7^8=7^{(3+8)}=7^{11}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies \left(2^6\right)^{-5}=2^{(6 \cdot -5)}=2^{-30}=\dfrac{1}{2^{30}}[/tex]

Therefore, the expression in which the exponents should be multiplied is (2⁶)⁻⁵.

--------------------------------------------------------------

Question 5

[tex]\textsf{Given}: \quad \left(5^3\right)^{-2}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies \left(5^3\right)^{-2}=5^{(3 \cdot -2)}=5^{-6}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies 5^{-6}=\dfrac{1}{5^6}=\dfrac{1}{5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 }[/tex]

The values of x are 3/ 2, 6 and 1/ 2 respectively.

Given the inequalities;

|x+2| < |x+1|

collect like terms

|x + x| < |1 + 2|

add like terms

|2x| < |3|

Make 'x' the subject

|x| < |3/ 2|

|x^2 + x -12| = x^2 +2x - 6

Take the absolute values of the expression

x² + x + 12 = x² + 2x - 6

collect like terms

x² - x² + x - 2x = -6 + 12

- x = 6

x = 6

|x-5|+|x+2|<8

Take absolute values

x + 5 + x + 2 < 8

collect like terms

2x + 7 < 8

2x < 8 - 7

Make 'x' the subject

x < 1/ 2

Thus, the values of x are 3/ 2, 6 and 1/ 2 respectively.

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The iv (insulin rate) rate should be 7 ml/hr.

Here,

Regular insulin is ordered iv at 7 units/hour.

The iv bag contains 100 units of regular insulin in 100ml of d5w.

We have to find the iv rate.

What is insulin rate?

Basal insulin rate is the rate at which an insulin pump provides small, “background” doses of fast-acting insulin.

Now,

Regular insulin is ordered iv at 7 units/hour.

The iv bag contains 100 units of regular insulin in 100ml of d5w.

The insulin rate in ml/hr = ( 7 units / 1 hr ) * (100 ml / 100 units) = 7 ml/hr

So, The iv (insulin rate) rate should be 7 ml/hr.

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Answer:

work is shown and pictured

Answer:

Step-by-step explanation:

It is asking for the "mode" which is the data element you see the most, therefore it is 2.

Answer:

option  3

Step-by-step explanation:

C: An expression that reads three times ten, plus four times one, plus five times one-tenth, plus six times one-hundredth, plus seven times one-thousandth

She ran 15 miles at a quicker speed based on the information supplied. See explanation below. This is a distance time problem.

The distances between the two "half" of the race are our unknowns here. We must assign them to variables - Alicia ran x miles in the first half of the race and y miles in the second.

Since the race is 21 miles in total, x and y together must add up to 21.

Hence,

x + y = 21

The speeds at which she raced and the total time involved are then given; we can link this to the distances using the speed and distance equation

d = st, or t = d/s.

Because she completed in two hours, the hours spent running the first and second parts must sum up to two hours, or:

x/8 + y/12 = 2

Two equations are sufficient to solve for two unknowns. We can approach this by multiplying the second equation by the LCM, 24

3x + 2y = 48

And rearrange the first to get y = 21 - x, which we can plug into the above. This gives us:

3x + 2(21 - x) = 48

3x + 42 - 2x = 48

x = 6

Use y = 21 - x again:

y = 21 - (6) = 15.

Recall that the question asks how long she ran at the faster speed - this would be the second half of the race, which we've labeled y, so 15 miles. But first, let's make sure our solution works.

Obviously, 15 + 6 = 21, thus the overall distance is correct.

In terms of time, 6 miles at 8 mph takes

6/8 =.75 hours = 45 minutes, whereas

15 miles at 12 mph takes 15/12 = 1.25 hours = 75 minutes.

As stated in the question, the total time to complete would be.

75 + 1.25 = 2 hours.

As a result, this solution is correct, as Alicia ran 15 miles at a quicker rate.

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Answer:

x divided by y - x/y

the product of two numbers - xy

x subtracted from y - y-x

the sum of two numbers is six - x+y=6

the product of two numbers is six - xy=6

x minus y - x-y

the sum of x and y - x+y

six times a number equals y - 6x=y

y divided by x - y divided by x

six less than a number is y - y=x-6

Step-by-step explanation:

Answer:

1805.38

Step-by-step explanation:

hope this helps

Answer:

its the second option

Step-by-step explanation:

u can search for the formula for a right trapezoid and then solve it

The standard deviation is a measure of a collection of values' variance or dispersion. The correct option is C, standard deviation.

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

Shifting data, by adding a constant to each data value, do not change the standard deviation. This is because the standard deviation is a measurement of how much a group of values varies or is dispersed.

Hence, the correct option is C, standard deviation.

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To simplify the indices expression x⁵y⁵z³, we can conclude that; A. bases are different, so this can't be done.

We want to simplify the indices given as;

x⁵y⁵z³

Now, we can see that the bases are different and as such it means they cannot be simplified using laws of indices on the exponents.

This is because when the bases are different, the expression cannot be factored with the exponents being added, subtracted, divided or multiplied.

Thus, we will conclude that the bases are different, so this can't be done.

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Answer:

12 to 8

Step-by-step explanation:

cuz i am smart pls mark me brainliest

The equation is 547.75 = 4.25a + 144 so the tape diagram in option D is the correct answer.

A mathematical equation that represents the relationship of two expressions on either side of the sign.

It has one or more variables and equal to symbol.

Example: 3x – 5 = 5

We have,

Time spent fixing the computer = 4.25 hours

Cost of parts = $144

Total cost = $547.75

Cost of labor per hour = a

Since the cost of labor per hour is 'a' cost of labor for 4.25 hours is:

= 4.25 x a

= 4.25a

We can write an equation as:

547.75 = 4.25a + 144

Thus the tape diagram in option D is the correct answer.

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Each part of the question is plotted on the number line as an image with the solution.

How are rational numbers represented on the number line?

(1)      [tex]\frac{-3}{8} , 1\frac{1}{5} = \frac{6}{5} = 1.2 , \frac{-3}{4}[/tex]  are plotted on the number line as an image with the solution.

(2) -13+15+(-8) = -6 is plotted on the number line as an image with the solution.

(3) [tex]\frac{3-(-14)}{7} = \frac{17}{7} = 2.429, \frac{-36+58}{-11} = -2[/tex] are plotted on the number line as an image with the solution.

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The expressions that are equal to a rational number are [(2/3)+(4/5)], [(√3) - (√3)], and [(√49)(√1)].

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The number of movies that would make the monthly cost equal is 4.

The total monthly cost is a function of the cost per month, total movies watched and the cost per movie.

The equations that represent the total cost of using the streaming sites would be in the form:

Total cost = cost per month + (number of movies watched x cost per movie)

Plan 1: $22 + ($x)

Plan 2: $14 + (3x)

When both plans have the same monthly cost, the two above equations would be equal

$22 + x =$14 + 3x

In order to determine the value of x, take the following steps:

Combine similar terms: $22 - $14 = 3x -x

Add similar terms together: $8 = 2x

Divide both sides of the equation by 2: $8 /$ 2 = x

x = 4

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