Write the interval notation for a set of all real numbers that are greater than 2 and less than or equal to 8. i have to show work too

Answer: #2 that's an absolute anser i am not sure if there are more or if this is just a multiple choice question

Step-by-step explanation:

'I hope my answer helps you'

Question: y = 3cos[6(x-4)] - 5

Answer: 3

Step-by-step explanation:

The reason for this is in order to find amplitude, it's always the number before "cos" or "sin". Also, the "[6(x-4)]" was just a distraction to throw you off

Here's a trick to find everything; amplitude, period, phase sift, etc.:

      y = A sin(B(x + C)) + D

* amplitude is A

* period is 2π/B

* phase shift is C (positive is to the left)

* vertical shift is D

Answer:

X = -3.1

Step-by-step explanation:

Answer:

the answer is x= -3.1

Step-by-step explanation:

proof its the right answer

The possible values of n are 1 and 2, as there can be two non-integer positive numbers whose product is equal to 12. Option B is correct.

All the possible ways to express 12 as a product of three positive numbers:

1 x 2 x 6

1 x 3 x 4

To identify which products have two non-integer factors.

From the above list, we see that only the first product, 1 x 2 x 6, has two non-integer factors (2 and 6).

From the  following complete list of the possible values of n if the product of 3 positive numbers is equal to 12 and 3 positive numbers of n are not integers then answer is option (b) 1, 2.

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The amount received after 3 years for a $4500 investment in a 3-year CD with an APY of 2.6% is approximately $4860.

In order to calculate the amount received after 3 years for a $4500 investment in a 3-year CD with an APY (Annual Percentage Yield) of 2.6%, we use the formula for compound-interest, which is : A = P × (1 + r)ⁿ,

In this case, we have : A = Amount received after 3-years,

P = Principal amount (initial-investment) = $4500,

r = Interest-rate = 2.6% = 0.26, n = Number of years = 3 years,

Substituting the values,

We get,

A = $4500 × (1 + 0.026)³,

A = $4500 × (1.026)³,

A ≈ $4860.

Therefore, the amount received after 3-years is $4860.

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The given question is incomplete, the complete question is

A sum of ​$4500 is invested in a 3​-Year CD With an APY of 2.6​%, Find the amount received after 3 year.

The top right graph could show the arrow's height above the ground over time.

The initial and the final height are both at eye level, which is the reference height, that is, a height of zero.

This means that the beginning and at the end of the graph, it is touching the x-axis, hence either the top right or bottom left graphs are correct.

The trajectory of the arrow is in the format of a concave down parabola, hitting it's maximum height and then coming back down to eye leve.

Hence the top right graph could show the arrow's height above the ground over time.

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So, if you have a pressure measurement of 1 bar, multiplying it by 100 gives you 100 kilopascals.

Converting between different units of pressure, such as bars and kilopascals, is a common task in physics, engineering, and many other fields.

Here's a more detailed explanation: One bar is equivalent to 100 kilopascals (kPa). This means that if you have a pressure measurement in bars, you can convert it to kilopascals by multiplying it by 100.

It's important to note that the conversion factor of 100 is constant, so any value in bars can be easily converted to kilopascals by multiplying by 100.

For example,

if you have a pressure measurement of 2 bars, multiplying it by 100 gives you 200 kilopascals. And if you have a pressure measurement of 0.5 bars, multiplying it by 100 gives you 50 kilopascals.

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Answer:

n=21000.

Step-by-step explanation:

$3.60

Answer:

3.31

Step-by-step explanation:

sqr 10 = 3.16

3/20 = .15

3.16+ .15

3.31

Answer:

Step-by-step explanation:

Linear Equations produce straight lines when graphed.

Linear Function is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.

Answer:

•A linear function is defined as a function that has either one or two variables without exponents.

•A linear function is a polynomial function whose graph gives a straight line. The linear function formula is of the form. y=f(x)=mx+c.

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a variable. This variable is always single power form. A simple example of a linear equation with only one variable, x, may be written in the form: ax + b = 0, where a and b are constants and a ≠ 0.

Answer:

-17

Step-by-step explanation:

1w= -17

(1)(-17)=

-17

Answer:

-17

Step-by-step explanation:

in this situations, we normally divide both sides by the number next to the unknown.

1w is the same as saying w

so,

w = -17

The degrees of freedom for the error source of variation is:  df = 30 - 3 = 27 To calculate the degrees of freedom for the treatment source of variation in an ANOVA table, we need to use the formula:

df (degrees of freedom) = number of groups - 1

In this case, the number of groups is equal to the number of processes, which is 3. Therefore, the degrees of freedom for the treatment source of variation is:

df = 3 - 1 = 2

This means that we have 2 degrees of freedom for the variation among the three processes. These degrees of freedom will be used to calculate the F-statistic, which is a measure of the variability between the means of the different groups (in this case, the processes).

It's worth noting that the other source of variation in an ANOVA table is the error or residual variation, which represents the variation within the groups or samples. The degrees of freedom for this source of variation are calculated using the formula:

df = total sample size - number of groups

In this case, the total sample size is 30 (the sum of the sample sizes for each process), and the number of groups is 3. Therefore, the degrees of freedom for the error source of variation is:

df = 30 - 3 = 27

This means that we have 27 degrees of freedom for the variation within the samples.

Overall, the ANOVA table provides information about how much of the variation in the data can be explained by the treatment (process) and how much is due to random error. By comparing the F-statistic to a critical value based on the degrees of freedom and a chosen significance level, we can determine whether there is a significant difference between the means of the different processes.

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The given function is:

y = 2x + 1(x - 2)

The first derivative of y with respect to x is:

dy/dx = 2x + 1

Using the above equation, let's find the value of x when y = 3:3

= 2x + 1(x - 2)3

= 2x + x - 23

= 3x - 2x1

= x

Substituting x = 1 in dy/dx:

dy/dx = 2(1) + 1

= 3

Therefore, the gradient of the tangent to the curve y = 2x + 1(x - 2) at the point where y = 3 is 3.

The normal line to the curve at (1, 3) is perpendicular to the tangent line and passes through the point (1, 3). Let the equation of the normal be y = mx + b.

Substitute the point (1, 3):

3 = m(1) + bb

= 3 - m

So, the equation of the normal is: y = mx + (3 - m)

Substitute the value of the gradient (m = -1/3) that we found earlier:

y = (-1/3)x + (3 + 1/3)y

= (-1/3)x + 10/3

Thus, the equation of the normal to the curve at (1, 3) is

y = (-1/3)x + 10/3.

The parametric equations of a curve are given by

x = -2 cos θ + 2 and

y = 2 sin θ + 3.

To find dy/dx, differentiate both equations with respect to θ:

dx/dθ = 2 sin θdy/dθ

= 2 cos θ

Then, divide dy/dθ by dx/dθ to get dy/dx:

dy/dx = (2 cos θ)/(2 sin θ)dy/dx

= cot θ

When θ = 3,

dy/dx = cot 3

Hence, the value of dy/dx at θ = 3 is cot 3.

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All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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Point C is tangent to the circle and will be a right angle which is 90 degrees.

The three inside angles of a triangle need to equal 180.

X = 180-90-64 = 26

X = 26 degrees

The mean of the given set is 3.54, the median is 4, and the mode is 2, which appears most frequently.

To find the mean, median, and mode of the given set of numbers: 5, 4, 2, 1, 6, 5, 3, 2, 4, 2, 5, 5, 2, we can follow these steps:

Mean:

The mean is calculated by adding up all the numbers in the set and dividing by the total count. Adding up the numbers, we get:

5 + 4 + 2 + 1 + 6 + 5 + 3 + 2 + 4 + 2 + 5 + 5 + 2 = 46

Dividing by the count (13 in this case), we find the mean:

Mean = 46 / 13 = 3.54 (rounded to the hundredth place)

Median:

To find the median, we arrange the numbers in ascending order:

1, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 6

The median is the middle number in the set. Since there are 13 numbers, the middle number is the 7th number, which is 4.

Median = 4

Mode:

The mode is the number(s) that appear most frequently in the set. In this case, the number 2 appears most frequently (4 times), making it the mode.

Mode = 2

Therefore, the mean is 3.54, the median is 4, and the mode is 2.

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f(x) is not continuous at x = 3.

To determine if f(x) is continuous at x = 3, we need to check if the following three conditions are satisfied:

Let's first check if f(3) is defined. From the given equation, we have:

f(3) = 3 - 2 = 1

So, f(3) is defined.

Next, we need to check if the limit of f(x) as x approaches 3 exists. To do this, we need to evaluate the left and right limits of f(x) as x approaches 3:

Limit from the left side:

\(\lim_{x \to 3^- } (3-x^2)\)

= 3 - 3^2 = -6

Limit from the right side:

\(\lim_{x \to 3^- } \frac{x-3}{x-1}\)

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

Since the left and right limits are not equal, the limit of f(x) as x approaches 3 does not exist.

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To solve these problems, we'll use the provided formulas of mass and volume and calculations. The substance is most likely to be Gold.

1. Mass of the cylinder:

The volume of a cylinder is given by the formula: V = πr^2h

V = π(3.80 cm)^2 × 22.0 cm

V ≈ 64.53 cm^3

Mass (m) = Volume (V) × Density (D)

m = 64.53 cm^3 × 19.3 g/cm^3 ≈ 1246.62 g

Therefore, the mass of the cylinder is approximately 1246.62 grams. None of the provided options matches this value.

2. Density of a cube:

Density (D) is defined as the mass (m) divided by the volume (V): D = m/V

Volume of a cube is given by: V = L × W × H

Density (D) = 153 g / 42.88 cm^3 ≈ 3.57 g/cm^3Therefore, the density of the cube is approximately 3.57 g/cm^3. None of the provided options matches this value.

3. Density of an object:

Converting mass to grams: 4350 mg = 4.35 g

Density (D) = 4.35 g / 2.68 cm^3 ≈ 1.62 g/cm^3

Therefore, the density of the object is approximately 1.62 g/cm^3. None of the provided options matches this value.

4. Identifying the substance based on density:

- Lead: Density ≈ 11.3 g/cm^3

- Iron: Density ≈ 7.87 g/cm^3

- Aluminum: Density ≈ 2.70 g/cm^3

- Gold: Density ≈ 19.3 g/cm^3

- Copper: Density ≈ 8.96 g/cm^3

Among the provided options, the substance most likely to be based on the known density values is Gold, as its density closely matches the given value of 18.3 g/cm^3.

So, the substance is most likely to be Gold.

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In the given system of linear inequalities,

Solutions: (1, 0), (-2, 5)

Non-solutions: (2, 0), (0, 1)

To graph the system of linear inequalities, we will plot the boundary lines for each inequality and shade the appropriate regions based on the given inequalities.

1. Graphing the inequality y < −x + 3:

To graph y < −x + 3, we first draw the line y = −x + 3. This line has a slope of -1 and a y-intercept of 3. We can plot two points on this line, for example, (0, 3) and (3, 0), and draw a dashed line passing through these points. Since y is less than −x + 3, we shade the region below the line.

2. Graphing the inequality y ≥ 2x − 1:

To graph y ≥ 2x − 1, we first draw the line y = 2x − 1. This line has a slope of 2 and a y-intercept of -1. We can plot two points on this line, for example, (0, -1) and (1, 1), and draw a solid line passing through these points. Since y is greater than or equal to 2x − 1, we shade the region above the line.

Now let's find two ordered pairs that are solutions and two that are not solutions.

Ordered pairs that are solutions:

- (1, 0): This point satisfies both inequalities. Plugging in the values, we get y = -1 and y ≥ 1, which are both true.

- (-2, 5): This point satisfies both inequalities. Plugging in the values, we get y = 7 and y ≥ 3, which are both true.

Ordered pairs that are not solutions:

- (2, 0): This point does not satisfy the first inequality y < −x + 3 since 0 is not less than -2 + 3.

- (0, 1): This point does not satisfy the second inequality y ≥ 2x − 1 since 1 is not greater than or equal to -1.

By graphing the system of linear inequalities and examining the solutions and non-solutions, we have:

Solutions: (1, 0), (-2, 5)

Non-solutions: (2, 0), (0, 1)

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Answer:

48

Step-by-step explanation:

72 is full time.

To find 2/3, we can just multiply them.

72 * 2/3 = 144/3 = 48

Answer:

(280+7) ÷ (7+7)

Step-by-step explanation:

hopefully this helps ya

The equation that is equal to 287 ÷ 7 is (280 + 7) ÷ (7 + 7). The correct option is C.

An equation is a statement in mathematics that shows that two expressions are equal. It has two sides that are separated by an equal sign.

To find the value of 287 ÷ 7, we can use the following methods:

We can simplify 287 ÷ 7 as follows:

287 ÷ 7 = 280 ÷ 7 + 7 ÷ 7

Note that 7 ÷ 7 simplifies to 1, so we have:

287 ÷ 7 = 280 ÷ 7 + 1

Therefore, the answer is C. (280 + 7) ÷ (7 + 7) = 287 ÷ 14 = 20.5.

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If the distribution is symmetric and doesn't have significant outliers, the mean can be a good estimate.

If the distribution is skewed or has outliers, the median may be more appropriate.

The mode is useful for identifying the most common values in distributions with multiple peaks or discrete data.

The common measures of central tendency and the types of distributions they are typically suited for:

Mean: To calculate the mean, you add up all the values and then divide the sum by the total number of values.

It is most appropriate for symmetric distributions without significant outliers.

If the distribution is approximately symmetric, the mean provides a good estimate of the central value.

Median: When arranging data in either ascending or descending order, the median corresponds to the middle value.

It is suitable for distributions with outliers or skewed distributions. The median is a robust measure and is not affected by extreme values.

Mode: In a distribution, the mode represents the value that occurs most frequently.

It is useful for distributions with multiple peaks or discrete data.

The mode can be helpful when identifying the most common value(s) or the peak(s) in the distribution.

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Answer:

Lines parallel to this line will have a slope of -1

Step-by-step explanation:

y = -x + 7

This line is in slope intercept form

y = mx+b where m is the slope

The slope is -1

Parallel lines have the same slope

Lines parallel to this line will have a slope of -1

Answer:

-1

Step-by-step explanation:

Parallel lines have the same slope

The equation y = -x + 7 has a slope of -1 meaning that a line parallel to it would also have a slope of -1

To solve this problem...

First factor out an x. The goal is to find the zeros of the polynomial. In order to do that, you must simplify the equation so that it is in a format that is easiest to factor. Following the quadratic format of ax² + bx + c, you can find the zeros. By factoring out an x, the equation will follow the quadratic format.

Your equation should now look like this:

F(x) = x ( x² + x - 6)

Now, set your equation to zero:

0 = x ( x² + x - 6)

To make this easier, separate the x from the rest of the process:

0 = x (here, you have one of your zeros!)

0 = x² + x - 6

Now, you have to factor!

Using this format, figure out what two values can be foiled out into the original equation.

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0 = (x + 3) (x - 2)

Now that you have your zeros, set them both equal to zero and solve for x.

0 = x +3, x = -3

0 = x -2, x= 2

Your zeros are 0, 2 and -3, your answer is B

Answer:

There can be infinetly many numbers including negative and positive number which add up to 31.

Example

31 -1 1

31 -2 2……

But if your question ask for sum of 3 positive integers which give 31, then you can compile following code in C++.

Answer:

-135, -134, -133

Step-by-step explanation:

Hi there!

Let x be equal to the first integer in the set of three consecutive integers.

Let x+1 and x+2 be the consecutive integers.

We're given that they have a sum of -402.

We can construct an equation:

\((x)+(x+1)+(x+2)=-402\)

Combine like terms:

\(x+x+1+x+2=-402\\x+x+x+1+2=-402\\3x+3=-402\\3x=-405\\x=-135\)

Therefore the first integer is -135.

The next two consecutive integers after -135 is -134 and -133.

Therefore, the three consecutive integers are -135, -134 and -133.

I hope this helps!

Generally, the NEC® permits a fuse to carry 80 percent of its rating when it supplies a load that is not operated continuously. The correct option is b.

According to the National Electrical Code (NEC), a fuse is generally permitted to carry up to 80% of its rating when supplying a load that is not operated continuously. This provision is based on safety considerations and is intended to prevent the fuse from tripping prematurely during temporary or intermittent overloads.

Allowing a fuse to carry up to 80% of its rating ensures that it can handle short-term surges in current without blowing. This is important because many electrical devices and appliances draw higher currents when they are first turned on or during certain operations. Allowing the fuse to handle these temporary overloads helps avoid unnecessary interruptions in power supply.

By limiting the fuse to 80% of its rating, the NEC provides a safety margin. This margin accounts for factors such as variations in load characteristics, ambient temperature, and other operating conditions that may affect the actual current flowing through the fuse.

In summary, the NEC permits a fuse to carry up to 80% of its rating for non-continuous loads to accommodate temporary overloads while maintaining safety and reliability in electrical systems. Hence, b is the correct option.

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Answer:

work is shown and pictured