Write rules for the composition of translations.

The factors of the expression 3xy/4 are 3/4, -1, x and y.

According to the question,

We have the following expression:

3xy/4

Now, we know that when we say factors of an expression then it means that we are talking about numbers or variables which can divide the given expression.

(For example, the factors of 24xy are 24 and the factors of 24 which are 1,2,4,6 including the two variables x and y.)

So, in this case, we will separate each number and variable to find the factors of the given expression:

3/4, x and y and -1

Hence, the factors of the expression 3xy/4 are 3/4, -1, x and y.

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To find f(4) you substitute the x in the given equation for 4:

Answer:

-1, 1, and 2

Step-by-step explanation:

[tex]x^3 - 2x^2 - x+2=0 \\ \\ x^2(x-2)-(x-2)=0 \\ \\ (x^2-1)(x-2)=0 \\ \\ (x-1)(x+1)(x-2)=0 \\ \\ x=-1, 1, 2[/tex]

Check the picture below.

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

This problem comes straight from a standardized test given in New York in 2014.

The height of the water increasing at a rate of 0.05 m/min

The Volume of a cylinder is

[tex]V = \pi r^{2}h[/tex]

where r is the radius and h is the height of the cylinder.

Given that the radius r of cylinder is 5m and the water is filled at the rate of 4 [tex]m^{3} /min[/tex]

[tex]V = 25\pi h[/tex]             ...(1)

Now, differentiating (1) with respect to time t,

[tex]\frac{dV}{dt} = 25\pi \frac{dh}{dt}[/tex]

Substituting the value of    [tex]\frac{dV}{dt}[/tex]

4 = [tex]25\pi \frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt}[/tex] = [tex]\frac{4}{25\pi }[/tex]

[tex]\frac{dh}{dt}[/tex] = 0.05 m/min

Hence, the water is increasing at the rate of 0.05 m/min

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Points which would fall on the line produced by the point-slope form equation y - 3=1/2(x - 7) when graphed are as follow:

c. (1,0)

d. (3, 1)

As given,

Equation of given line

y - 3=1/2(x - 7)

Points which would fall on the line produced by the point-slope form:

a.(0,1)

x=0

y-3=1/2(0-7)

⇒ y=-1/2

b.(1,-1)

x=1

y-3=1/2(1-7)

⇒y=0

c.(1,0)

x=1

y-3=1/2(1-7)

⇒y=0

Required point

d.(3,1)

x=3

y-3=1/2(3-7)

⇒y=1

Required point

Therefore, points which would fall on line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed are as follow:

c. (1,0)

d. (3, 1)

The complete question is :

Which of the following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed?

a. (0,1)      b. ( 1,-1)       c. (1,0)       d. (3,1)

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Given that 1kg=2.2 pound, also there is 14 pounds in 1 stone

There are 9 stones totally,so totally 9 stones will have 405 pounds

To convert into kilogram to should divide pounds by 2.2

Thus 183.705 is the required answer.

Solution

- The ordered list from the least to the greatest is:

- Thus, using the arrangement of the numbers, we can rearrange using the letters.

O, N, L, P, M

Final Answer

O, N, L, P, M (OPTION C)

Answer:

20 miles

Step-by-step explanation:

If it is two miles each way, then he rides a total of 4 miles every day.

Multiply 4 by 5

4 x 5 = 20

20 miles

Answer:

20 miles

Step-by-step explanation:

he always goes to school and comes back, to that means each day where he goes to school he rides 4 miles each time.

if he does this for 5 days you can write the following:

4*5 = 20 or if you haven't learned multiplication you can think of it like this:

4+4+4+4+4= 20

For 1 cup of blue paint, 1/4 cups of black paint is needed

The given parameters are

8 cups of blue paint needed for 2 cups of black paint

This means that

8 cups of blue paint needed = 2 cups of black paint

Divide both sides of the equation by 8

So, we have the following equation

8/8 cups of blue paint needed = 2/8 cups of black paint

Evaluate the quotient

So, we have the following equation

1 cup of blue paint needed = 1/4 cups of black paint

Hence, the amount of black paint is 1/4

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Here, we want to solve find the value of the expression

We start by opening up the brackets and then, we bring together like terms

We have this as;

The proportion of the generated values that fall inside the range of each histogram bar is used to compute the vertical scale. The standard deviation is an indicator of how much the values in the data set typically deviate from the mean.

It always displays the median and the middle 50% of the data. For data displayed in histograms, a similar spread measurement is helpful. The term for it is the standard deviation. The standard deviation is an indicator of how much the values in the data set typically deviate from the mean.

The proportion of the generated values that fall inside the range of each histogram bar is used to compute the vertical scale. The sum of the bar heights is therefore one. Only discrete variables (right), where the histogram heights now total to unity, are suitable for relative frequency analysis.

A measurement of how far points deviate from the mean is the standard deviation. The first histogram includes fewer points that are close to the mean and more points that are distant from the mean (scores of 0, 1, 9, and 10). (scores of 4, 5 and 6). As a result, its standard deviation will be higher.

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Tickets were sold for a program at a college .It cost $4 for general admission or $3 with a student ID.

Let

number of people that used student ID = x

number of people that used the general admission cost = y

108 used the student ID ticket while 73 used the general admission ticket .

Step-by-step explanation:

probabilities are always

desired cases / totally possible cases

24 cans in total, 4 of them are diet, therefore 20 of them are regular.

2 cans are picked.

for the first can

the probability to pick a diet can is

4/24 = 1/6

the probability to pick a regular is

20/24 = 5/6

a)

to pick 2 diets, the first one has to be diet.

that leaves 23 cans with 3 being diet.

so, the probability for the second can being diet too is

3/23.

as combined event the probability to pull 2 diet cans is

1/6 × 3/23 = 1/2 × 1/23 = 1/46 = 0.02173913...

≈ 0.0217

b)

now the same for picking 2 regular cans.

the first one has to be regular :

5/6

that leaves for the second one 23 cans and 19 of them regular

19/23

combined this gives the probability

5/6 × 19/23 = 95/138 = 0.688405797...

≈ 0.6884

this is not unusual.

what would be considered "usual" or "unusual" ?

c)

one of them is diet, and one of them is regular.

the simple answer ?

it is the only other option, when the cans are not of the same type. it is the opposite of the sum of a) and b).

so, it is

1 - 0.688405797... - 0.02173913 = 0.289855072...

≈ 0.2899

but what to do, if we want to calculate it directly ?

it is the case that either

1. the first can is diet and the second can is regular,

or

2. the first can is regular and the second can is diet.

case 1.

the first can is diet = 1/6

leaving 23 cans with 20 being regular

the second can being regular = 20/23

together

1/6 × 20/23 = 1/3 × 10/23 = 10/69 = 0.144927536...

case 2.

the first can is regular = 5/6

leaving 23 cans with 4 diets.

the second can being diet = 4/23

together

5/6 × 4/23 = 5/3 × 2/23 = 10/69 = 0.144927536...

in an "exclusive or" situation we can add the probabilities.

so, the probability of having exactly one can diet and exactly one can regular is

0.144927536... + 0.144927536... = 0.289855072...

≈ 0.2899

we were correct in the first place !

Given:

The amount of vinegar that melody used for a recipe can be written as a whole number.

So, we will check the options to find which one represents a whole number

The whole number does not contain numbers after the decimal point and also the denominator will be 1

So, the answer is option D) 12/3 = 4

SOLUTION

Note that for an inequality to be graphed with an open circle the inequality sign must be either less than or greater than

Therefore the inequalities are:

The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

[tex]\hat{p} = \frac{x}{n}[/tex]

Where:

In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:

Standard deviation (SD) = √(p(1 - p)/n)

Substituting the given parameters into the formula, we have;

Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)

Standard deviation (SD) = √(0.37(0.63)/1,600)

Standard deviation (SD) = √(0.2331)/1,600)

Standard deviation (SD) = √0.0001457

Standard deviation (SD) = 0.0121.

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Given:

Cone with diameter of 14 ft, and height of 4 ft.

First, determine the radius of the cone, by dividing the diameter by 2.

Now that we have the radius, substitute π = 3, r = 7 ft, and h = 4 ft to the formula of the volume of the cone.

The solution of a system is the point where the lines described by the equations of the system intersect, If a system has no solution, it is said to be inconsistent, In this case, both lines have the same slope (-3/2) which means that they are parallel each other, then they will never intersect, and the system has no solution and is inconsistent

The total money would Caleb have to pay for his family if he were to buy 5 snacks for everybody to share is;

We are told that the cost of each movie ticket is $13. Now, if he buys one movie ticket for his 3 kids, then total he would pay for the 3 kids and himself is;

13 * 4 = $52

Now, an assortment of snacks available to purchase for $3.50 each. Thus, if Caleb buys 5 snacks, then it means that;

Cost of the 5 snacks = 3.5 * 15 = $16.5

Total paid = $52 + $16.5

= $67.5

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Answer:

4 to the 9th power :D

Step-by-step explanation:

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The vertex and range of this absolute value function is: Vertex (0, 4), Range: {y | 0 ≤ y < ∞}.

An absolute value function can be defined as a type of function that consist of an algebraic expression, which is placed within absolute value symbols.

Mathematically, the standard form of the equation for an absolute value function is given by:

y = a|x - h| +k.

Where:

h and k are the vertex of the graph.

Furthermore, an absolute value function is defined by this piecewise rule, especially based on its input:

In conclusion, the vertex or turning point of this absolute value function in the table above is at (0, 4).

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Answer:

Vertex (0, 4), Range: {y | 0 ≤ y < ∞}.

Step-by-step explanation:

In order to determine which equation represents the boundary, replace the values of the coordinates of the given points, into the choices for the equations, and then verify if the left hand side matches with the right hand side.

For points (35,0) and (5,0) you have:

x = 35

y = 0

x = 5

y = 0

Then, for the first answer choice we have:

As you can notice, the equation matches for values of x and y.

Then, there is no necessary to verify for the other choices.

Hence, the equation (x - 20)^2 + y^2 = 225 represents the boundary that the sprinkler covers.

Naomi bought 4 puzzles and she spend total $21.91

The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.

Given that : A toy store is having a sale on puzzles. For each puzzle, Naomi buys she gets 75% off of a second puzzle. The original price of each puzzle is $16.50. Naomi bought 4 puzzles

Naomi first puzzle price is $16.50

she get 75% off on as second puzzle

=[tex]16.50(\frac{75}{100} )[/tex]

=12.375

=16.50 - 12.375

= 4.125

So , second puzzle price is 4.124

=[tex]4.125(\frac{75}{100} )[/tex]

=3.09

= 4.125 - 3.09

=1.03

So , third puzzle price is 1.03

=[tex]1.03(\frac{75}{100} )[/tex]

=0.7725

=0.2575

So ,fourth puzzle price is 16.50+4.124+1.03+ 0.2575

=21.91

Total naomi spend 0.2575

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we have 60 balloons

black balloons are =4/12*60

and that is =20 black balloons

red balloons= 3/12*60=5*3=15

the rest are white

white balloons= 60- 20 black-15 red=25 white balloons

The simplified expression of the fraction expression is (b) One group of 4/6, with 1/6 remaining.

The fraction expression is given as

ten StartFraction 1 Over 12 EndFraction bars.

Rewrite the fraction properly

So, we have

Ten 1/12 bars

This can be represented as

10 * 1/12

Rewrite 10 as 10/1

So, we have the following equation

10 * 1/12 = 10/1 * 1/12

Evaluate the products of the numerator

So, we have the following equation

10 * 1/12 = 1/1 * 10/12

Evaluate the products of the denominator

So, we have the following equation

10 * 1/12 = 10/12

Simplify the fraction

10 * 1/12 = 5/6

Split the fraction

10 * 1/12 = 4/6 + 1/6

This means that, the result is

Quotient = 4/6 and remainder = 1/6

Hence, the true statement about the fraction is (b)

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Complete question

Which did you include in your response? Check all that apply?

Use ten 1/12 bars.

The ratio of boxes to the circles is 7: 10

To find how many Costco employees are, we can use the formula of