Convert 4/19 to a decimal​

The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.

The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.

The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.

Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.

Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.

Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.

Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.

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I will put it in standard form,

5a + 2r = 12

It becomes

5a + 2r - 12 = 0

Answer:

Step-by-step explanation:

55/66

The domain and range of the functions, Domain includes all possible inputs and range includes all possible outputs , are-

1.  f(x) = 4x-3

Domain - all real numbers or

Range - all real numbers

2. G(x) = | 1-2x |

Domain- all real numbers

Range - All real numbers≥ 0

3. f(x) = x²-2x+1 / x-1

this can be simplified as ( x-1)²/(x-1) = x-1

Domain - all real numbers

Range- all real numbers

4. f(x) = {x-1 if x<3,

             2x+1 if x ≥3 }

Domain - all real numbers

Range - All real numbers

5. y = \(\sqrt{4-x}\)

Domain - All real numbers <4

Range - all real numbers ≥0

Mathematical functions are analogous to vending (soda) machine operations. When you put in a certain amount of money, you can choose from a variety of sodas. Similarly, when we use functions, we enter different numbers and get new numbers as a result. The primary characteristics of functions are domain and range. A soda can be purchased with quarters or one-dollar bills. If you put in pennies, the machine will not give you any soda flavor. As a result, the domain represents the inputs available here, which are quarters and one-dollar bills. A cheeseburger will not be served from a soda machine, no matter how much you pay. Thus, the range represents the possible outputs we can have here, i.e., the

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Answer:6^21

Step-by-step explanation:

Answer:

x = 96

Step-by-step explanation:

\(log_b \ x = \frac{2}{3}log_b \ 27 + 3log_b \ 2 - log_b \ 3 + \frac{2}{3}log_b \ 64 - log_b \ 4\)

         \(=\frac{2}{3}log_b \ 27 + 3log_b \ 2 + \frac{2}{3}log_b \ 64 -(log_b \ 3 + log_b \ 4) \\\\=(log_b \ (27)^{\frac{2}{3}} + log_b \ 2^3 + log_b \ (64)^{\frac{2}{3}}) -(log_b \ 3 + log_b \ 4) \\\\=log_b \ ( (27)^{\frac{2}{3}} \cdot 2^3 \cdot (64)^{\frac{2}{3}}) -log_b \ (3 \cdot 4) \\\\=log_b \ \frac{( (27)^{\frac{2}{3}} \cdot 2^3 \cdot (64)^{\frac{2}{3}})}{ (3 \cdot 4)} \\\\=log_b (\frac{9 \times 8 \times 16}{3 \times 4})\\\\=log_b (3 \times 8 \times 4)\\\\=log_b \ 96\)

Therefore, x = 96

Answer:

2 1/2

Step-by-step explanation:

6/4=3/2=1 1/2

Answer:

6/4= 3/2

so you now divide 2 by the 3 which will give you;

1.5

Answer: 4/33

Step-by-step explanation:

just divide

Answer:

The answer is 4/33.

Step-by-step explanation:

to get this you just have to divide.

you're welcome.

More than once a week: 0.11

Once a week: 0.51

Every other week: 0.26

Every three weeks: 0.05

Less often than every three weeks: 0.07

To make a relative frequency distribution, follow these steps:

Count the number of occurrences of each category in the data. In this case, 11% of the 251 participants responded "more than once a week", so the number of occurrences for this category is 0.11 * 251 = 27.61 (rounded to 28). Similarly, 51% of the participants responded "once a week", so the number of occurrences for this category is 0.51 * 251 = 127.51 (rounded to 128). And so on for the other categories.

Divide the number of occurrences for each category by the total number of participants. In this case, the total number of participants is 251, so the relative frequency for "more than once a week" is 28 / 251 = 0.11. The relative frequency for "once a week" is 128 / 251 = 0.51. And so on for the other categories.

And that's it! These are the relative frequencies for each category in the data.

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Answer:

A

Step-by-step explanation:

If you sub in all the values, you get [1+5][2(-1)-1]. Now combine like terms. 1+5 is 6 and 2*-1-1=-3. 6*-3=-18 so the answer is A.

Answer:

63° is the answer according to me

The value of measure of angle F is,

⇒ ∠ F = 63°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Triangle ABC and DEF are congruent.

Hence, Their corresponding angles are same.

So, We get;

⇒ ∠ A = ∠X

⇒ ∠B = ∠Y

⇒ ∠C = ∠Z

Here, ∠C = 63°

Hence, The value of measure of angle F is,

⇒ ∠ F = 63°

Thus, The value of measure of angle F is,

⇒ ∠ F = 63°

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Standard deviation does not mean independent events.

No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.

Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.

Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.

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Answer:

-5x + 13y - 6z

Step-by-step explanation:

The value of x is -1 which makes the model true

The equation from the given model will be 5x+6=1

We have to find the value of x

5x+6=1

Subtract 6 from both sides

5x=-5

Divide both sides by 5

x=-1

Hence, the value of x is -1 which makes the model true

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35 is a reasonable prediction of the number of times he will select 2 yellow socks?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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Answer:

Use the distributive property to get 4c-12=8

Divide both sides by 4 to get c-3=2

Step-by-step explanation:

The decimal calculation for Arturo's is 18.97, Bonnie's is 20.51, Courtney's is 31.42, Dawson's is 35.00.

Measurement is the process of assigning a numerical value to a physical quantity, such as length, weight, temperature, or time. Measurements are used to quantify and compare different aspects of the world around us, and they play a crucial role in many areas of science, engineering, and everyday life.

Measurements can be made using a variety of tools and techniques, ranging from simple rulers and scales to sophisticated scientific instruments. The accuracy and precision of a measurement depend on many factors, including the quality of the measuring instrument, the skill of the person making the measurement, and the conditions under which the measurement is taken.

In order for measurements to be meaningful and useful, they must be expressed in units that are well-defined and universally accepted. The International System of Units (SI) is the most widely used system of units in the world, and it is based on seven fundamental units of measurement, including the meter for length, the kilogram for mass, the second for time, and the kelvin for temperature.

Student           Measurement (yards)    Decimal Calculation

Arturo           6√28                            18.97

Bonnie           8√17                            20.51

Courtney   10π                            31.42

Dawson           3.5√100                    35.00

To calculate the decimals, we can use a calculator to evaluate the square roots and π, and then multiply by the given constant factor, and round the result to the nearest hundredth yard.

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The complete question is:

Answer:

290^4

Step-by-step explanation:

Hdjfjc

The preceding statement suggests that simple interest equals $4.38

Simple annual interest of borrowing-related interest that is computed using only the initial principal and a constant interest rate. Compounding, in which borrowers wind up paying tax on principle plus interest that increases over a few of payment periods, is not a part of it. The original is multiplied by time, rate of return, and time period to determine simple interest.

Due to it,

P = $39

R = 0.0625%

T = 180 days

Now, Simple Interest = P*R*T/100

Simple Interest = 39 * 0.0625 * 180/100

Simple Interest = 2.92

Therefore, Simple Interest is $4.38

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Answer:

The function f(x) = 275-55x represents the amount of money Bradley still owes.

Step-by-step explanation:

Given that:

Amount Bradley owes = $275

Amount Bradley pays each week = $55

Let,

x be the number of weeks.

We will subtract the amount paid every weeks from the total amount, where x is the number of weeks. The function will be given by;

f(x) = 275 - 55x

Hence,

The function f(x) = 275-55x represents the amount of money Bradley still owes.

The number of Caroline's textbook is 8

A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math. If you've ever taken a math class, you've probably solved a word problem.

Represent the Notebook bought by Bert as q

q = p-5

p-2= 2q

p = 2q +2

substitute 2q +2

q = 2q+2-5

2q-q = 3

q = 3

substitute 3 for q

3 = p-5

p = 5+3

p= 8

Therefore Caroline's number of notebook is 8

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Answer:

The answer is Zack garden

The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

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