Determine the unit rate of the following. 9 yards of material for 5 dresses The unit rate isyd / dress (Type a whole number or a decimal.)​

The mean of the distribution is 3

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

According to the first graph,

Given the bar of observations as :

0, 5, 6, 3, 1, 1, 3, 6, 4, 1

Here the Sum of Observations = 30

And the total number of observations = 10

The mean of the distribution = 30/10

The mean of the distribution = 3

According to the second graph,

Given the bar of observations as :

0, 1, 3, 3, 9, 0, 9, 4, 4, 1

Here the Sum of Observations = 34

And the total number of observations = 10

The mean of the distribution = 34/10

The mean of the distribution = 3.4

The mean of the distribution = 4 (closest)

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Answer:

48 degrees

Step-by-step explanation:

the angle measure doesn't scale of shrink with the dilation of circles. the angle only just extends.

Answer:

x= 14.0 (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

f(g(1)) = - 2

Step-by-step explanation:

Find g(1) then use the value obtained to find f(x)

g(1) = 1 ← value of y when x = 1 (1, 1 ) , then

f(1) = - 2 ← value of y when x = 1 (1, - 2 )

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Answer:

0,2,4,6

Step-by-step explanation:

it adds 2 each time

Answer:

2.5

Step-by-step explanation:

you cut the diameter in half and it's 5 so do the math

h(x) = f(x)g(x) represents the product of two functions, combining their behaviors into a new function.

In mathematics, the expression h(x) = f(x)g(x) represents the product of two functions, f(x) and g(x). When evaluating h(x) for a given value of x, it involves multiplying the corresponding values of f(x) and g(x).

The product of two functions allows for the combination of their individual behaviors and characteristics. The resulting function, h(x), inherits properties from both f(x) and g(x). The behavior of h(x) will depend on the specific functions involved.

For example, if f(x) represents a linear function and g(x) represents an exponential function, their product h(x) = f(x)g(x) will exhibit a combined behavior reflecting both linearity and exponential growth. The specific form of the functions will determine the precise behavior of h(x) and its graph.

It is important to note that the product of two functions assumes that the functions are defined for the given values of x and that the multiplication operation is valid for the corresponding function values.

h(x) = f(x)g(x) represents the product of two functions, combining their behaviors to form a new function. The specific nature of h(x) depends on the characteristics of f(x) and g(x).

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Answer:

Use the given functions to step up and then simplify (x, -7).

Step-by-step explanation:

0 - 4 = -4

(x, -7) = -4

m = 3/2

Answer:

the answer would be X=-2

Answer:

Step-by-step explanation:

To find the x-intercept, we set y to zero and solve for x:

4y - 4x = 8

4(0) - 4x = 8

-4x = 8

x = -2

So the x-intercept is (-2, 0).

To find the y-intercept, we set x to zero and solve for y:

4y - 4x = 8

4y - 4(0) = 8

4y = 8

y = 2

So the y-intercept is (0, 2).

Therefore, the x-intercept is (-2, 0) and the y-intercept is (0, 2).

Answer:

0.0002

Step-by-step explanation:

4 decimal places means tenths, hundredths, thousandths, and ten thousandths places. If we count 4 decimal places, we come to 0.0002. The number next to it, 3, rounds down, so the answer should be 0.0002.

Given the system of equations:

• 5x - y = -28

• 6x - 5y = -45

Let's solve the system of equations using the addition and elimination method.

To solve, apply the following steps:

• Step 1.

Multiply each equation by the value that makes the coefficient of one variable opposite.

Multiply equation 1 by -5.

We have:

-5 (5x - y) = -5(-28) ==> -5(5x) -5(-y) = 140 ===> -25x + 5y = 140

• Step 2:

Add both equations:

-25x + 5y = 140

+ 6x - 5y = -45

__________________

-19x + 0 = 95

-19x = 95

• Step 3:

Divide both sides by -19:

• Step 4:

Substitute -5 for x in either of the equations.

5x - y = -28

5(-5) - y = -28

-25 - y = -28

Add 25 to both sides of the equation:

-25 + 25 - y = -28 + 25

-y = -3

Divide both sides by -1:

Therefore, the solution to the system of equations is:

x = -5, y = 3

ANSWER:

x = -5, y = 3

In point form:

(x, y) ==> (-5, 3)

A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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Step-by-step explanation:

8(-9 - 5 × 9) + 4 × (-9)

= 8( -14 × 9) + (- 36)

= 8( -126) - 36

= -1008 - 36

= -1044

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Answer:

1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)

2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

Step-by-step explanation:

Problem 1

\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)

Problem 2

\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)

Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)

The calculated bill for a person who uses 600kWh in a month is $80

From the question, we have the following parameters that can be used in our computation:

b(x) = 0.10x, x ≤ 200

b(x) = 0.15(x - 200) + 20, x > 200

For a person that uses 600kWh per month, we make use of the function

b(x) = 0.15(x - 200) + 20

This is because it is valid for x > 200

Substitute the known values in the above equation, so, we have the following representation

b(600) = 0.15(600 - 200) + 20

Evaluate

b(600) = 80

Hence, the bill for a person who uses 600kWh in a month is $80

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Answer:

y=3x-3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the other 3 options are all true.

the sum of all angles in a triangle is always 180°.

so, when T is 40°, that leaves 180-40 = 140° to the other 2 angles. in an isoceles triangle they must be equal to each other, so they are half of the remaining 140°, which is 70°.

and of course the 2 sides are equal (hence "isoceles").

The first step is to find the values of x and y. From the information given,

x is the cost of an adult ticket and y is the cost of a child ticket. The system of equations is shown below

3x + 5y = 50

x + 5y = 31

From the second equation,

x = 31 - 5y

We would substitute x = 31 - 5y into 3x + 5y = 50. We have

3(31 - 5y) + 5y = 50

By expanding the parentheses, we have

93 - 15y + 5y = 50

- 15y + 5y = 50 - 93

- 10y = - 43

Dividing both sides of the equation by - 10,

- 10y/- 10 = - 43/- 10

y = 4.3

Substituting y = 4.3 into x = 31 - 5y, we have

x = 31 - 5 * 4.3 = 31 - 21.5

x = 9.5

If an adult ticket costs $9.5, then the cost of 4 adult tickets is

4 x 9.5 = $38

Answer:

-1

Step-by-step explanation:

Assuming problem is: x->2 (x^3 -3x^2 +3)

Since the expression is continuous at x=2,

then the limit can be found just by evaluating the expression at x=2.

2^3-3(2)^2+3

8-3(4)+3

8-12+3

-4+3

-1

The ordered pair that solves the system of equation is (0, 0).

To solve this system, we can substitute the first equation into the second equation to eliminate y:

x = 2x

Solving for x, we get x = 0.

Substituting x = 0 into the first equation, we get y = 0.

Therefore, the ordered pair that solves the system is (0, 0).

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The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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The sum of the geometric series is 306. We can start by finding the first term and the common ratio of the geometric series.

The first term is 54, and to find the common ratio we divide any term by its previous term:

36 / 54 = 2/3

(2/3) * 54 = 36

128/27 / 36 = 4/3

So the common ratio is 2/3.

S = a * (1 - r^n) / (1 - r)

where S the sum of a geometric series with first term a,  common ratio r, and n terms is no. of terms.

We are given that there are seven terms in the sum, so n = 7.

Using the values we have:

S = 54 * (1 - (2/3)^7) / (1 - 2/3)

S = 54 * (1 - 128/2187) / (1/3)

S = 54 * (2059/2187) * 3

S = 306

Therefore, the sum of the geometric series is 306

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Answer:

Concept: Unit Measure

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

x=26-19

=7

Your answer is 7

Answer:

<E, <F, <G

Step-by-step explanation: