identify the domain of the graphed function

[-3,6)
(-3,-1)U(-1,2)U(2,6)
(-3,2)U(2,6]
[-3,-1)U(-1,6)

The metric system is an international system of measurement that uses the base unit of the meter to measure length or distance. The meter is defined as the length of the path traveled by light in a vacuum during a specific fraction of a second.

It is an essential unit of the International System of Units (SI) and is used to measure distance, length, height, and width in most countries worldwide.

The meter is equivalent to approximately 39.37 inches, making it a longer unit of measurement than the inch, which is used in the imperial system of measurement. The metric system is based on a decimal system, which makes it easier to convert between units of length. For instance, one kilometer (km) is equal to 1,000 meters, and one centimeter (cm) is equal to 0.01 meters.

The metric system is widely used in science, industry, and daily life. It is the standard system of measurement used in most countries worldwide, except for the United States, which primarily uses the imperial system of measurement. However, it is essential to understand the metric system, as it is becoming increasingly popular in many fields and is a fundamental part of global communication.

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The required cycle-time is approximately 57.6 seconds.

To find the required cycle time, we need to divide the total available time by the number of units to be produced.

Total available time: 16 hours = 16 * 60 minutes = 960 minutes = 960 * 60 seconds = 57,600 seconds

Number of units to be produced: 1,000 units

Required cycle time: Total available time / Number of units

Cycle time = 57,600 seconds / 1,000 units

Cycle time ≈ 57.6 seconds

Therefore, the required cycle time is approximately 57.6 seconds.

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P(80 < X < 125) = 0.9525 - 0.0918

P(80 < X < 125) = 0.8607

This means that approximately 86.07% of people have IQ scores between 80 and 125.

To answer this question, we need to calculate the standardized score (also known as z-score) for both 80 and 125:

z-score for 80: (80-100)/15 = -1.33

z-score for 125: (125-100)/15 = 1.67

Once we have the z-scores, we can use a standard normal distribution table or calculator to find the proportion of scores between them. Alternatively, we can use the following formula:

P(80 < X < 125) = P(Z < 1.67) - P(Z < -1.33)

Using a standard normal distribution table or calculator, we can find that P(Z < 1.67) is approximately 0.9525 and P(Z < -1.33) is approximately 0.0918.

Therefore:

P(80 < X < 125) = 0.9525 - 0.0918

P(80 < X < 125) = 0.8607

This means that approximately 86.07% of people have IQ scores between 80 and 125.

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Answer:

  47 therms

Step-by-step explanation:

A $78.40 gas bill has a $22 monthly connection fee and charges of $1.20 per therm. You want to know the number of therms being charged.

Let t represent the number of therms at $1.20 each. The gas bill chargest are ...

  1.20t +22 = 78.40

Subtracting 22 gives ...

  1.20t = 56.40

Dividing by 1.20 tells the number of therms:

  t = 56.40/1.20 = 47

The company used 47 therms.

Answer:

29

Step-by-step explanation:

19+(5+5)=19+10=29

The solution of the mathematical expression (19 + 5) + 5 will be 29.

What is Associative property?

In the associative property, when two or more than two numbers are added or multiply then the result will be remains same.

Given that;

The mathematical expression is;

⇒ (19 + 5) + 5

Since, In the associative property, when two or more than two numbers are added then the result will be remains same.

Hence, Solve the mathematical expression by using associative property as;

The mathematical expression is;

⇒ (19 + 5) + 5

Solve as;

⇒ 19 + (5 + 5)

⇒ 19 + 10

⇒ 29

Thus, By using associative property of real numbers we get the solution of the expression (19 + 5) + 5 will be 29.

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Answer:

A) x > 7

Step-by-step explanation:

Since it's more than, the inequality would be >

Since it's >, that means it's an open circle

So,

x > 7

Answer

the answer is 10

Step-by-step explanation

The candle that will burn out first is the yellow candle rather than the blue candle.

Blue candle:

1/4 inch per hour or 0.25 inches per hour

8 / 0.25 = 32 hours to completely burn out

Yellow candle:

1/2 inch per hour or 0.5 inches per hour

12 / 0.5 = 24 hours

If the blue candle is lit 6 hours before the yellow candle then:

Blue candle: 32 - 6 = 26 hours left

Yellow candle: 24 hours left

This means the yellow candle will burn out first.

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Answer:

(3.2 × 10²) times as large

Step-by-step explanation:

First, set up an equation:

(8 × 10³) ÷ (4 × 10²)

Using the laws of exponents, we know that when two exponents with the same base are being divided by each other, the exponents subtract from each other:

(8 × 4) × (10³⁻²) = (32 × 10¹)

Move the decimal one space to the left, which increases the exponent by 1:

(3.2 × 10²)

Hope this helps!

The camber on a certain car is measured to be;

But, the maximum acceptable camber for the car is;

Thus, the measured camber is within the limit if only it is less or equal to the maximum acceptable camber.

Then, we would convert the measured camber to degree, we have;

CORRECT ANSWER:

B. No, the measured value of the camber is;

Answer:

If all the sides of the triangle are different, its scalene or else it could ne obtuse not sureee

Answer: 78 I think.. maybe .... ummm yeah I think so

Step-by-step explanation:

Answer:

5 weeks

Step-by-step explanation:

Substract 319.5 (the amount he has to save) to the amount he has already saved, which is 21.95. Now the constant amount of change is 63 dollars each week so divided it by that. So the equation should be (319.5-21.95) and divide all that by 63 to get 4.72 or rounded to the nearest number, is 5.

Answer:

x = 5

Step-by-step explanation:

ratio of sides in a 30-60-90 triangle is  1: \(\sqrt{3}\) : 2

to find 'x' for the triangle shown, divide the hypotenuse by 2

10/2 = 5

By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)

This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)

This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).

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Answer:

Step-by-step explanation:

Answer:

The answer is 888,889,013,321

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

The partial derivative of the utility function \(U(x_1, x_2)\) with respect to \(x_1\) is \(a * x_1^{(a-1)} * x_2^{(1-a)}\), and the partial derivative with respect to \(x_2\) is \((1-a) * x_1^a * x_2^{(-a)}.\)

The utility function  \(U(x_1, x_2)\) represents a consumer's satisfaction or preference for two consumption goods, \(x_1\) and \(x_2\). The partial derivatives provide insights into how the utility function changes as we vary the quantities of the goods.

To calculate the partial derivative with respect to \(x_1\), we differentiate the utility function with respect to \(x_1\) while treating \(x_2\) as a constant. The result is \(a * x_1^{(a-1)} * x_2^{(1-a)}\). This derivative captures the impact of changes in \(x_1\) on the overall utility, taking into account the relative importance of \(x_1\)(determined by the parameter a) and the quantity of \(x_2\).

Similarly, to find the partial derivative with respect to \(x_2\), we differentiate the utility function with respect to \(x_2\) while treating \(x_1\)as a constant. The resulting derivative is \((1-a) * x_1^a * x_2^{(-a)}.\). This derivative shows how changes in \(x_2\) affect the overall utility, considering the relative weight of \(x_2\) (given by 1-a) and the quantity of \(x_1\).

In summary, the partial derivatives provide information about the sensitivity of the utility function to changes in the quantities of the consumption goods, allowing us to understand the consumer's preferences and decision-making.

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Answer:

8%/100×500=$40

Kathleen pays $40 sales tax

Answer:

(-1, 7)

Step-by-step explanation:

Step 1 - Make the two equations equal the same:

3x + y = 4

2x + y = 5

Add 1 to the first equation:

3x + y + 1 = 5

2x + y = 5

3x + y + 1 = 2x + y

Step 2 - Subtract 2x from both sides to isolate y:

3x + y + 1 = 2x + y

3x - 2x + y + 1 = 2x - 2x + y

x + y + 1 = y

Step 3 - Subtract y from both sides:

x + y + 1 = y

x + y - y + 1 = y - y

x + 1 = 0

x = -1

Step 4 - Plug known variable back into the first equation:

3x + y = 4

3(-1) + y = 4

-3 + y = 4

Step 5 - Add 3 to both sides to isolate the y:

-3 + y = 4

-3 + 3 + y = 4 + 3

y = 7

Meaning the two coordinates  are:

x = -1

y = 7

Or:

(-1, 7)

Hope this helps!

Graph both equations

We use the graphical way to solve it

Solution is

Option A

Answer:

x=$3

Step-by-step explanation:

2x+5=3x+2

-2 from both sides

2x+3=3x

-2x from both sides

3=x

Answer:

The mean length is 3 ft

while the median length is 2.5 ft

Step-by-step explanation:

The mean length is the sum of the lengths divided by the count of the lengths.

Mathematically, that is;

(2 + 3 + 6 + 1.5 + 4.5 + 1)/6 = 18/6 = 3 ft

To calculate the median length, we first need to rearrange the lengths in increasing order

1, 1.5, 2, 3, 4.5, 6

Now, looking at these lengths, the middle lengths are 2ft and 3ft

we can add both together and divide by 2

That would be (2+3)/2 = 5/2 = 2.5 ft

Answer:

Step-by-step explanation:

Given the lengths of the pieces of lumber that a carpenter has as shown;

2 ft, 3 ft, 6 ft, 1.5 ft, 4.5 ft, 1 ft

3) The mean length is expressed as the ratio of the sum total of the lengths to the total amount of pieces of lumber given.

Mathematically; Mean (\(\overline x\)) = \(\frac{\sum Xi}{N}\)

Xi is the individual length

N is the total amount of pieces of lumber = 6pieces

\(\overline x = \frac{2+3+6+1.5+4.5+1}{6} \\\overline x = \frac{18}{6} \\\overline x = 3ft\)

4) Median is the value at the middle of the given lengths after rearrangement. Rearrangement can either be ascending or descending.

Rearranging the data in ascending order we have;

1ft, 1.5ft, 2ft, 3ft, 4.5ft, 6ft

The two lengths at the middle are 2ft and 3ft. Taking the average of the two values since we cannot have 2 median values.

Median = 2+3/2

median = 2.5ft

Answer:

0.064

Step-by-step explanation:

If 0.64 is ten times as much as something, then the thing you're looking for is 10 times as small as 0.64, meaning you need to divide 0.64 by 10. Doing so will give you 0.064.

I don't know ask your family for help

Step-by-step explanation:

Answer:

Multiply 2 by 9, and then 2 by 11, and add it up all together. 18+22=40

Step-by-step explanation:

If the standard deviation is 12,000 dollars for four electricians, then the standard deviation for the sampling distribution of the sample mean is 6000 dollars.

The standard deviation of the sampling distribution of the sample mean, is also known as the standard error of the mean,

The standard deviation is be calculated using the formula,

⇒ standard-error of mean is = σ/√n,

Where σ = population standard deviation and n = sample size,

In this case, σ = 12,000 dollars and n = 4.

Substituting these values into the standard deviation formula, we get,

⇒ "standard-error" of mean = 12000/√4 = 6,000 dollars.

Therefore, the standard deviation for the sampling distribution of the sample mean is 6,000 dollars.

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The given question is incomplete, the complete question is

Suppose that, on average, electricians earn approximately μ = 54,000 dollars per year in the United States. Assume that the distribution for electrician's yearly earnings is normally distributed and that the standard deviation is σ = 12,000 dollars. Given a sample of four electricians,

What is the standard deviation for the sampling distribution of the sample mean?

It will take approximately 37.5 minutes for the waiter to set all 30 tables in the dining room.

We know that the waiter takes 10 minutes to set 8 tables. Let's use "T" to represent the time it will take to set all the tables in the dining room.

Based on the given proportion:

10 minutes / 8 tables = T minutes / 30 tables

To find T, we can cross-multiply and solve for T:

8T = 10 minutes * 30 tables

8T = 300 minutes

T = 300 minutes / 8

T = 37.5 minutes

Therefore, it will take approximately 37.5 minutes for the waiter to set all 30 tables in the dining room.

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The standard error of the mean is approximately 0.79 (rounded to two decimal places).

Define standard error ?

The standard error is a statistical term that measures the variability of a sample mean or an estimate of a population parameter from its true value. It is the standard deviation of the sampling distribution of the mean. In simpler terms, the standard error measures how much the sample mean varies from the true population mean. A smaller standard error indicates that the sample mean is more likely to be representative of the population mean, while a larger standard error suggests that the sample mean may not be as reliable.

The formula for the standard error of the mean is:

\(SE = \frac{\sigma }{\sqrt{n}}\)

Where σ is the population standard deviation and n is the sample size.

Substituting the given values:

\(SE =\frac{5}{\sqrt{40}}\)

SE ≈ 0.79

Therefore, the standard error of the mean is approximately 0.79 (rounded to two decimal places).

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The measure of variability that should never be used alone to reach conclusions regarding the variance of a distribution is the range.

The range only considers the difference between the maximum and minimum values in a dataset and does not take into account the distribution or dispersion of the data between these extreme values. Therefore, relying solely on the range to assess variance would not provide a comprehensive understanding of the distribution's spread and may lead to misleading conclusions.

It is recommended to use other measures of variability, such as standard deviation or interquartile range, in conjunction with the range to gain a more accurate representation of the variance.

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Answer:

A relation is defined as the collection of inputs and outputs which are related to each other in some way. In case, if each input in relation has accurately one output, then the relation is called a function.

Based on the given relation, we found that it is not a function because it has repeating x-values. Remember, for a relation to be a function, each input (x-value) must correspond to exactly one output (y-value).

To determine if a relation is a function, you need to check if each input (x-value) corresponds to exactly one output (y-value). You can use the following steps:

1. Identify the given relation as a set of ordered pairs, where each ordered pair represents an input-output pair.

2. Check if there are any repeating x-values in the relation. If there are no repeating x-values, move to the next step. If there are repeating x-values, the relation is not a function.

3. For each unique x-value, check if there is only one corresponding y-value. If there is exactly one y-value for each x-value, then the relation is a function. If there is more than one y-value for any x-value, then the relation is not a function.

Let's consider an example relation: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 1: Identify the relation as a set of ordered pairs: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 2: Check for repeating x-values. In our example, we have a repeating x-value of 2. Therefore, the relation is not a function.

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To determine the line symmetry of your figure (C), examine the shape and try to identify if it can be divided into mirror-image halves using any of these lines. If so, that will be the type of line symmetry it has. If not, choose "none of the above."

1. Vertical line symmetry: A figure has vertical line symmetry when it can be divided into two equal halves by a vertical line, and the halves are mirror images of each other.

2. Horizontal line symmetry: A figure has horizontal line symmetry when it can be divided into two equal halves by a horizontal line, and the halves are mirror images of each other.

3. Diagonal line symmetry: A figure has diagonal line symmetry when it can be divided into two equal halves by a diagonal line, and the halves are mirror images of each other.

4. None of the above: If the figure cannot be divided into equal halves by any line (vertical, horizontal, or diagonal) and have mirror-image halves, then it does not have any line symmetry.

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