What percent of 112 is 21?

According to the table, the values of g(x) are 2 units lower than the corresponding values of f(x).

Translation of functions

When a function is transferred without undergoing any form or rotation changes, it has been "translated." A function may be translated both horizontally and vertically.

According to the question;

The table that illustrates function g(x) is; when the function f(x) is shifted vertically down by 2 units to obtain function g

x = 0, 1, 2, 3

g(x) = -2, 0, 6, 24

By shifting the function f vertically down by 2 units, the function g(x) is produced.

Note that the relationship between the functions g and f is as follows:

g(x) = f(x) -2

Therefore, as seen in the above table, the values of g(x) are 2 units fewer than the corresponding values of f(x).

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Answer:

a. 3 heures

b. 3 km

Step-by-step explanation:

a. Pour parcourir 18 km, un randonneur met 18 km / 6 km/h = 3 heures.

b. Pour parcourir une distance en 30 minutes, la vitesse est de 18 km / 3 heures = 6 km/h, donc la distance parcourue en 30 minutes est 6 km/h * 30 min / 60 min = 3 km.

When travelling at 70 mph over a road with a sinusoidal surface, an automobile crosses its peak 1.9556 times every second.

The relation between rectangle side angles and the lengths is examined in the mathematics branch known as trigonometry. The application of geometries in astronomical study gave rise to the county's first appearance in the Hellenistic era, roughly in the third centuries BC. Exact approaches mathematics concentrate on certain right triangle and how they could be applied to calculations. In trigonometry, there are six well-known trigonometric expressions. They are known by their various names and acronyms: sine, cosine, parallel, cotangent, cotangent, and cosecant (csc). The features of all geometric forms are studied in geometry.

given

first convert 40 miles per hour (mph) into feet per second (fps):

1 mile is equal to 5280 feet, and a speed of 40 miles per second is equal to 3600/405280, or 58.6667 feet per second.

Second, determine how many times per second the car will pass a bump:

The vehicle crosses a sinusoidal road with a period of 30 feet, where

P = 30 feet frequency

speed/P = 30/58.667 = 1.9556 times per second.

When travelling at 70 mph over a road with a sinusoidal surface, an automobile crosses its peak 1.9556 times every second.

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Answer:

Rotation

Step-by-step explanation:

Answer: Rotation

Step-by-step explanation:

rotation by 180 degrees is (x,y) => (-x,-y)

Looking at some of the points on A like (-1,-1) we can see B has a point on (1,1) and (-6,-2) B has a point on (6,2) and so on

Pedro ha reunido 25.000.000$ antes de pensar en prestar con el banco. Al finalizar los 10 años, Carlos pagará 37.800.000$.

Esto significa que tendrá que pagar 35.000.000$ en total al banco, los cuales se dividirían en cuotas mensuales de 315.000$ durante los 10 años.

Es importante tener en cuenta que con el paso del tiempo, los precios de los materiales de construcción pueden variar, lo que significa que el costo total de la casa puede aumentar o disminuir. Por lo tanto, es importante contar con un presupuesto realista para la construcción. Además, se recomienda controlar el progreso de la construcción para asegurarse de que los costos no se salgan de control.

Pedro has collected $25,000,000 before thinking about lending with the bank. At the end of the 10 years, Carlos will pay $37,800,000. This means that he will have to pay $35,000,000 in total to the bank, which would be divided into monthly installments of $315,000 over the 10 years.

It is important to keep in mind that over time, the prices of construction materials may change, which means that the total cost of the house may increase or decrease. Therefore, it is important to have a realistic budget for construction. In addition, it is recommended to monitor the progress of the construction to ensure that costs do not get out of control.

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Therefore , rounding to the nearest fraction whole number, we would expect about 1696 visitors to purchase exactly one costume next week.

An whole can be represented by any set of related sums or fractions. In standard English, a percentage is used to represent the quantity of a specific size. 8, 3/4. Also wholes are fractions. Numbers are expressed in mathematics using the ratio of it's own portion to the bottom. These fractions are all made up of basic numbers. Due to variances in actual percentage calculations, numerators, and numerators, a difficult fraction contains a fraction.

Here,

Out of 112 visitors to the website (9 + 95 + 8), 95 purchased exactly one costume.

So the proportion of visitors who purchased exactly one costume is:

95/112 ≈ 0.848

To estimate how many visitors out of 2000 would purchase exactly one costume, we can multiply the proportion by 2000:

0.848 x 2000 ≈ 1696

Rounding to the nearest whole number, we would expect about 1696 visitors to purchase exactly one costume next week.

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The equivalent equations are:

52 = 8n + 4

4(2n + 1) = 5

4 = 52 – 8n

n = 6

Options A, B, C, and E are the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 5 is an equation.

We have,

A.

52 = 8n + 4

8n = 52 - 4

8n = 48

n = 6

B.

4(2n + 1) = 52

8n + 4 = 52

8n = 52 - 4

8n = 48

n = 6

C.

4 = 52 – 8n

8n = 52 - 4

8n = 48

n = 6

D.

4n = 48

n = 12

E.

n = 6

Thus,

The equivalent equations are:

52 = 8n + 4, 4(2n + 1) = 5, 4 = 52 – 8n, and n = 6.

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There were 100 adult tickets sold.

When solving a system of equations with two unknowns, one of the techniques to find the unknown values is the substitution method. In this method, one equation is substituted to the other equation to achieve a final equation that contains only one of the unknowns. The value remaining unknown can be derived directly from the final equation. By substituting the first value to one of the original equations, the other unknown may be derived.

Let A be the number of adult tickets sold and S be the number of student tickets sold.

The total tickets sold is 275.

A + S = 275_________(Eq. 1)

Also, the total sales is $1025.

5A + 3S = 1,025_______(Eq. 2)

From the Equation 1

S = 275 - A     [Subtract A from both sides]

Using this value of S, substitute S in the second equation.

5A + 3(275 - A) = 1,025

5A + 825 - 3A = 1,025

2A = 200 [Subtract both sides 825]

A = 100   [Divide both sides by 2]

Hence, There were 100 adult tickets sold.

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The value of equation is -3.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given;

T-5/t-3=t-3/t+3+1/t-3

Now

T-5/t-3=t-3/t+4/t-3

-5t=-2t+9

-3t=9

t=-3

Therefore, the answer of the equation will be -3.

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Answer:

For the inequality [tex]x \leq 3[/tex], there were no pictures so I created my own number line, check the picture:

Hope it helps! <3

Step-by-step explanation:

The measures of both pairs of opposite sides are equal in length using the properties of rotations.

What is rotation?

In mathematics, a rotation is a transformation that spins a shape around an immovable object.

We are given that M is the midpoint of the diagonals.  

Since, M is the midpoint of the diagonals, so, VM = MQ and TM = MN.

Since T and N are equidistant from M, and the measure of ∠TMN = 180°, So, r(180°, M)(T) = N

Similarly, r(180°, M)(V) = Q  

We can rotate every point on TV in this same way.

So,  r(180°, M)(TV) = QN

Similarly, r(180°, M)(TQ) = VN  

Since, the rotations are rigid motions and they preserve distance, so, TV=QN and TQ=VN.

Hence, the measures of both pairs of opposite sides are equal in length.

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In the question, the figure is missing which is attached below

The value changes from 5/4 to 3/8 , then the percent of change from 5/4 to 3/8 is a 60% increase. So, the value change from 5/4 to 3/8 increases in percentage.

To determine whether the percent of change is an increase or a decrease, you need to calculate the difference between the old value and the new value as a percentage of the old value.

The old value is 5/4 and the new value is 3/8. To calculate the difference, you subtract the new value from the old value: 5/4 - 3/8 = 5/4 - 3/8 = 15/32.

Next, you need to express the difference as a percentage of the old value. To do this, you divide the difference by the old value and multiply by 100%. That gives you (15/32) / (5/4) * 100% = 60%.

Since the result is a positive percentage, it means that the percent of change is an increase. So, the percent of change from 5/4 to 3/8 is a 60% increase.

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The correct answer is option D: Chen read for less time because an hour a day for 7 days is equal to 210 minutes.

To determine the correct answer, we need to use the unitary method. This method involves converting the units of measurement into a common unit and then comparing them.

In this case, we need to convert hours into minutes to compare the reading time of Sierra and Chen.

An hour is equal to 60 minutes. Therefore, 1 hour a day for 7 days is equal to

=> 60 minutes * 7 days = 420 minutes.

However, we need to divide this number by 2 because Chen only read for half an hour a day. Hence, Chen read for 210 minutes

=> (420 minutes / 2).

Now that we have both the reading times in minutes, we can compare them. Sierra read for 220 minutes while Chen read for 210 minutes. As 220 > 210, it is clear that Sierra read for more time.

In conclusion, option D is the correct answer as Chen read for less time because an hour a day for 7 days is equal to 210 minutes. The unitary method is useful in comparing measurements with different units and it provides us with accurate results.

Complete Question:

Sierra read for 220 minutes in 1week. Chen read for an hour a day for 7 days. Which explanation is correct?

A. Sierra read for more time because 220 is greater than

B. Sierra read for less time because minutes are less than hours.

C. They read for the same amount of time because 1 week is equal to 7 days.

D. Chen read for less time because an hour a day for 7 days is equal to 210 minutes.

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Answer: 1,000 to 40,300

Step-by-step explanation:  Every major league stadium will let in fans to start the season, but capacities vary, ranging from just over 1,000 to 40,300.

Answer: - negative

Step-by-step explanation:

The number 41 has a negative sign and it is greater than 39.

Answer:

The number of daisies in the garden is 25 x 60% = 15 flowers.

Step-by-step explanation:

The solution for the number of daisies in the garden is found by multiplying the total number of flowers by the proportion that are daisies.

25 flowers * 60% daisies = 15 daisies

So, there are 15 daisies in the garden.

The situation that can be modeled by a linear function is:

An amusement park allows 50 people every 30 minutes

Option 3 is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A linear function is a function in the form of f(x) = mx + c.

Now,

1)

The population of bacteria triples every day.

This can be written as a function,

f(x) = M x [tex]3^x[/tex]

Where M is the initial number of bacteria and x is the number of days.

This is an exponential function.

2)

The value of cell phones depreciates at a rate of 3.5% each year.

This can be written as a function,

f(x) = M x [tex]96.5^x[/tex]

Where M is the initial value and x is the number of years.

This is an exponential function.

3)

An amusement park allows 50 people every 30 minutes.

This can be written as a function,

f(x) = 50x

Where x is the number of times of 30 minutes.

This is a linear function.

4)

A baseball tournament eliminates half of its teams after each round.

This can be written as a function,

f(x) = M x [tex](1/2)^x[/tex]

Where x is the number of rounds.

This is an exponential function.

Thus,

An amusement park allows 50 people every 30 minutes can be modeled by a linear function.

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An equation, in slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza is y = 1.35 x + 15.

As per the data given:

A local restaurant charges $15 for a jumbo size cheese pizza.

Each of the additional topping costs $1.35.

Here we have to determine an equation, in the slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza.

Considering y as the cost of pizza and x be the amount of topping added.

Cost of a pizza with toppings

y = 1.35 x + 15

The equation for the slope-intercept form is y = mx + c

m will be the slope of the equation.

Here, the slope of the equation is 1.35

The Y-intercept is equivalent to the price of the base pizza i.e. 15

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Answer:

10.39

Step-by-step explanation:

In a 30-60-90 right triangle, the ratio of the three sides are
√3 : 1 : 2

The longest side is, of course, the hypotenuse

In general, if the hypotenuse is a, The side opposite the 30° angle is a/2 and the side opposite the 60° angle is a(√3/2)

Given a = 12, y = 12/2 = 6

x =  ( √3/2) x 12 = 10.39

Answer:

The situation that can be represented by the sum 5.25 ÷ (-1.35) is:

C. Before heating a solution, a scientist measured its temperature to be 5.25 *F. The scientist stopped heating the solution after 1.35 hours. The sum represents the final temperature of the solution.

Answer:

[tex] \sf \: x = 6[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ 4x + 10 = 34

Then the value of x will be,

→ 4x + 10 = 34

→ 4x = 34 - 10

→ 4x = 24

→ x = 24 ÷ 4

→ [ x = 6 ]

Hence, the value of x is 6.

The denominators for 1/4 and 7/10 are B) 20 and E) 40.

1/4 , the denominator is 4.

7/10, the denominator is 10.

We are looking for in the multiple choice, which number can be divided into 4 and 10. Namely the numbers 20 and 40.

To prove:

20, divided by 4 is 5 and divided by 10 is 2.

40, divided by 4 is 10 and divided by 10 is 4.

Then the correct answer is 20 and 40.

As we know that in fractions are divided into two parts, namely the quantifier (located above the dividing line) and the denominator (located below the dividing line.

The quantifier is the number or value that will be divided by the number or denominator value. Meanwhile, the denominator is the number or value that is the number's divisor or the quantifier value.

Your question is incomplete but most probably your full question was:

Select all the common denominators for

1/4 and 7/10.

A 10

B. 20

C. 24

D. 32

E. 40

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Answer:

Step-by-step explanation:

WX length = Square root 13                                                                                             Slope of WX=-2/3 or -2 divided by 3                                                                  YZ length= Square root 13                                                                                  Slope for YZ= 2 divided by -3 or 2/-3                                                                              Part C should be A since parallel means that they have the same slope and they are congruent side lengths so, hopefully im right? Theorem 7.12 proves it

Answer: To determine if a set of dimensions is possible for the container, we need to check if it satisfies both the inequality h > 0.3r^2 and the two constraints.

A) radius = 21 inches, height = 21 inches:

The inequality h > 0.3r^2 is satisfied (21 > 0.3 * 21^2).

The height must be no more than 15 inches greater than the radius (21 - 21 <= 15), which is satisfied.

The area of the base must be at least 36pi square inches (pi * r^2 >= 36pi), which is not satisfied (pi * 21^2 < 36pi).

So, option A is not a possible set of dimensions.

B) radius = 8 inches, height = 21 inches:

The inequality h > 0.3r^2 is satisfied (21 > 0.3 * 8^2).

The height must be no more than 15 inches greater than the radius (21 - 8 <= 15), which is satisfied.

The area of the base must be at least 36pi square inches (pi * r^2 >= 36pi), which is satisfied (pi * 8^2 >= 36pi).

So, option B is a possible set of dimensions.

C) radius = 7 inches, height = 23 inches:

The inequality h > 0.3r^2 is satisfied (23 > 0.3 * 7^2).

The height must be no more than 15 inches greater than the radius (23 - 7 <= 15), which is satisfied.

The area of the base must be at least 36pi square inches (pi * r^2 >= 36pi), which is not satisfied (pi * 7^2 < 36pi).

So, option C is not a possible set of dimensions.

D) radius = 9 inches, height = 18 inches:

The inequality h > 0.3r^2 is not satisfied (18 <= 0.3 * 9^2).

The height must be no more than 15 inches greater than the radius (18 - 9 <= 15), which is not satisfied.

So, option D is not a possible set of dimensions.

Therefore, the only possible set of dimensions is B) radius = 8 inches, height = 21 inches.

Step-by-step explanation:

Answer:

11:34 AM

Step-by-step explanation:

To find out the start time of the water fight, we need to subtract the total time it took from the end time.

End time: 1:08 P.M.

Total time: 1 hour and 13 minutes for water balloons + 21 minutes for hoses = 1 hour and 34 minutes

So, we subtract 1 hour and 34 minutes from 1:08 P.M.

1 hour before 1:08 P.M. is 12:08 P.M.

34 minutes before 12:08 P.M. is 11:34 A.M.

Therefore, the water fight started at 11:34 A.M.

Answer:

50288419716939937510.... and so on.

Pi is a never ending number, so it goes on and on forever.

Step-by-step explanation:

Hope it helps! =D

Answer: Let's call the hourly rate for regular work as "r" and the hourly rate for overtime work as "o".

From the information given, we know that 80 hours of regular work earned Andrew 80 * r = $920.65.

And we also know that 5 hours of overtime work earned him 5 * o = $109.80.

So, combining the two amounts, we have:

80 * r + 5 * o = $1030.45

Now, we can substitute the first equation into the second:

80 * r + 5 * o = $1030.45

80 * r = $920.65

80 * r + 5 * o = $1030.45

5 * o = $1030.45 - $920.65

5 * o = $109.80

Finally, we can solve for the hourly rate of overtime work:

o = $109.80 / 5

o = $21.96/hour

Step-by-step explanation:

In this particular study, Selection bias, Response bias, non response bias and Self-selection bias may exist.

There are several biases that may exist in the study:

1. Selection bias: By only calling people whose names were randomly sampled from the phone book, the study may not accurately represent the population of the state as a whole. Mobile phones and unlisted numbers, which may represent a significant portion of the population, are not included in phone books and therefore not included in the sample.

2. Response bias: The study only includes people who answered the phone when the senator's office called. This means that the sample only represents people who were available and willing to participate in the study. People who were not available or unwilling to participate may have different opinions, which would introduce a response bias.

3. Nonresponse bias: People who did not answer the phone when the senator's office called may have different opinions than those who answered. This nonresponse bias can result in an overestimation or underestimation of the true population values.

4. Self-selection bias: By only calling people who answered the phone, the study may only represent those who are interested in politics or are more likely to participate in political surveys. This self-selection bias can result in an overestimation or underestimation of the true population values.

These biases can lead to inaccurate results and conclusions. To reduce these biases, it's important to use a representative sample of the population and to make sure that the sample is selected in a way that minimizes bias

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One element within an experiment that allows you to increase the level of certainty in your results and account for random events is the use of a control group.

Level of certainty refers to the degree of confidence or assurance that one has in the accuracy of a particular result, decision, or conclusion. In scientific research, the level of certainty is often expressed as a probability or as a confidence interval, which provides a range of values that are expected to contain the true value with a certain degree of confidence. A higher level of certainty indicates a greater level of confidence that the result is correct, while a lower level of certainty indicates more uncertainty or ambiguity. Factors that can affect the level of certainty in an experiment or measurement include the quality of the data, the size of the sample, the accuracy of the methods used, and the presence of random or systematic errors.

By having a control group, you can compare the results of the experiment against a baseline and isolate any changes caused by the independent variable. Additionally, using a large sample size and repeating the experiment multiple times can also help increase the level of certainty and account for random events.

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