the usual price of a printer was 28,000 at a computer fair it was sold at a discount of 30% what was the selling price of the printer​

Answer:

$67.59

Step-by-step explanation:

$9.99 + 6(12×$0.80)

$9.99 + 6($9.60)

$9.99 + $57.6

$67.59

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After 6 months of paying the subscription fee and buying 12 songs each month, Andrea will have spent a total of $67.59.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
To find the total cost of the songs,
= 12 songs × $0.80/song = $9.60

Then, the total cost of the subscription and the songs over 6 months:
= $9.99 + (6 × $9.60)
= $9.99 + $57.60
= $67.59.

So, after 6 months of paying the subscription fee and buying 12 songs each month, Andrea will have spent a total of $67.59.

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A disk with a radius of 0.1 m is spinning about its center with a constant angular speed of 10 rad/sec. The speed of the bug is equal to the tangential speed of a point on the rim of the disk, which can be given by: v = rωWhere:r = 0.1 m (the radius of the disk)ω = 10 rad/sec (the angular speed of the disk)Therefore, the speed of the bug is: v = rω= 0.1 m x 10 rad/sec= 1 m/s

The acceleration of the bug can be given by: a = rαWhere:α = α (angular acceleration)The angular acceleration is zero because the disk is spinning at a constant angular speed. Hence, the acceleration of the bug is zero or a = 0 m/s². Therefore, the correct option is option 2) 1 m/s and 0 m/s² (Disk spins at a constant speed).

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The composition of functions (f ∘ g)(x) can be found by substituting g(x) into f(x). In this case, (f ∘ g)(x) is equal to [(1 − 6x) − 1]^3, which simplifies to (-6x)^3 = -216x^3.

To find (f ∘ g)(x), we need to substitute g(x) into f(x) and simplify the expression. First, we substitute g(x) = 1 − 6x into f(x):

f(g(x)) = [(1 − 6x) − 1]^3.

Next, we simplify the expression inside the parentheses:

[(1 − 6x) − 1] = -6x.

Now, we substitute -6x back into the expression for f(g(x)):

f(g(x)) = (-6x)^3.

Simplifying further, we raise -6x to the power of 3:

(-6x)^3 = -216x^3.

Therefore, the composition of functions (f ∘ g)(x) is equal to -216x^3.

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A function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f is f(x) = 3x^4/4 + 729/4.

In the given question, we have to find a function f such that f'(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.

The given function is f'(x) = 3x^3.

No integrating on both side,

f(x) = \(\int3x^3dx\) + C

f(x) = 3x^4/4 + C

As given, the line 81x + y = 0 is tangent to the graph of f.

So, slope at point of tangent; f'(x) = -81

So, 3x^3 = -81

Divide by 3 on both side, we get

x^3 = -27

Taking cube root on both side, we get

x = -3

So putting the value of x in 81x + y = 0, we get

y = 243

Thus, f(x) passes through (-3, 243).

So, 243 = 3/4(81) + C

Multiply by 4 on both side, we get

972 = 243 + 4C

Subtract 243 on both side, we get

4C = 729

Divide by 4 on both side, we get

C = 729/4

So, f(x) = 3x^4/4 + 729/4

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Answer:

x=3

13x-5=1+11x

(ADD 5 TO BOTH SIDES)

13x-5+5=1+11x+5

SIMPLIFY

13x=11x+6

SUBTRACT 11x FROM BOTH SIDES

13x-11x=11x+6-11x

SIMPLIFY

2x=6

DIVIDE BOTH SIDES BY 2

2x/2 = 6/2

SIMPLIFY TO GET FINAL ANSWER

x=3

The area of the rectangle is 17 square units.

The area of a rectangle is the product between the two dimensions (length and width) of the rectangle.

Here we know that the vertices are:

A(-1, 9), B(0, 9), C(0, -8), D(-1, -8)

We can define the length as the side AB, which has a lenght:

L = (-1, 9) - (0, 9) = (-1 - 0, 9 - 9) = (-1, 0) ----> 1 unit.

And the width as BC, which has a length:

L = (0, 9) - (0, -8) = (0 - 0, 9 + 8) = (0, 17) ---> 17 units.

Then the area is:

A = (1 unit)*(17 units) = 17 square units.

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Answer:

I apologize, but it seems like your statement got cut off. Could you please provide the complete statement?

Step-by-step explanation:

please provide full statement for right ans

Answer:

-132

Step-by-step explanation:

hope it helps you out

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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Answer:

8 Tickets

Step-by-step explanation:

40 / 5 = 8

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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Answer: y intercept is -1

Step-by-step explanation:

The line intercepts at -1

The value of the expression R = x^2/y when y = 3.8 x 10^5 and x = 5.9 x 10^4 is 9.2 x 10^3

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

R = x^2/y

Where

y = 3.8 x 10^5

x = 5.9 x 10^4

Substitute y = 3.8 x 10^5 and x = 5.9 x 10^4 in the equation R = x^2/y

So, we have

R = (5.9 x 10^4)^2/3.8 x 10^5

Evaluate the exponent in the above equation

So, we have

R = 34.81 x 10^8/3.8 x 10^5

Evaluate the quotient in the above equation

So, we have

R = 9.16052631579 x 10^3

Approximate the above expression

So, we have

R = 9.2 x 10^3

Hence, the value of the expression R = x^2/y when y = 3.8 x 10^5 and x = 5.9 x 10^4 is 9.2 x 10^3

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Answer:

f(x) ≥ 0 over the interval [5, ∞).

( option A )

A valid prediction about the continuous function f(x) is the values of f(x) for x ≥ 5 are greater than or equal to zero. The correct answer is option A.

A function is continuous if its graph has no gaps or jumps. A function f(x) is said to be continuous at a point x=a if the limit of f(x) as x approaches a exists and equals f(a). A function on an interval is continuous if it is continuous at every point in that interval.

The table is given in the question as follows:

x: -5, -3, -1, 1, 3, 5, 7

f(x): 8, 4, 0, -2, -2, 0,4

Using the given values of x and f(x), we can make some observations about the behavior of the function f(x) over the given intervals:

Over the interval [5, ∞), f(x) is positive for all x, since all the values of f(x) for x ≥ 5 are greater than or equal to zero.

Therefore, option A is a valid prediction.

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The missing table is attached below.

The diagonal EG is a line of symmetry for rhombus EFGH

A rhombus is a quadrilateral with equal sides. Because opposite sides of a parallelogram are equal, a rhombus is a type of parallelogram in which all sides are equal.

Given rhombus EFGH

We have to prove that diagonal EG is a line of symmetry for rhombus EFGH

According to the property of the rhombus

Four sides of EFGH are equal

So EF = EH

FG =HG

Meanwhile EG =EG(common side)

So triangle EFG = triangle EHG

The diagonal EG is a line of symmetry for rhombus EFGH

Therefore the diagonal EG is a line of symmetry for rhombus EFGH

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Answer: 36

Step-by-step explanation: using long division you take 11 divide into 398 so first, 11 goes into 39, 3 times

you have 6 left, so keep the 6 and drop down the other 6

next 11 goes into 66, 6 times making it 396/11= 36  

hope this helps

Answer:

36

Step-by-step explanation:

396 divided by 11 is equal to 36

      36

11/\(\sqrt{396\\}\)

   - 33

      066

    -  66

         0

Answer:

Slope = - 2

Step-by-step explanation:

Given equation is,

y= - 2x

If x=1, y= -2.

If x=2, y= - 4

Take such few points and plot the graph (1, - 2), (2, - 4)........

Draw a straight line through the points.

For slope, compare the equation with slope intercept form, y=mx + c

Here, c=0 and m=-2

Hope this helps!!

The event is randomly selecting one card from a standard deck of 52 playing cards. We need to determine the number of outcomes in this event and whether it is a simple event or not.

In a standard deck of 52 playing cards, there are 4 suits (hearts, diamonds, clubs, spades) and each suit has 13 cards (Ace, 2-10, Jack, Queen, King). Therefore, there are 52 possible outcomes or cards to choose from in this event.
Now, let's determine if this event is a simple event or not. A simple event is an event that consists of a single outcome. In this case, since we are randomly selecting one card from the deck, the event of selecting a specific card (e.g., Ace of Hearts) would be a simple event because it has a single outcome. However, if the event is defined as selecting a card of a specific suit or a card of a specific rank (e.g., selecting a heart or selecting a King), then it would not be a simple event as there are multiple outcomes associated with that event.
When randomly selecting one card from a standard deck of 52 playing cards, there are 52 possible outcomes in the event. The event of selecting a specific card, like the Ace of Hearts, would be a simple event with a single outcome. However, events defined by selecting cards of a specific suit or rank would not be simple events as they have multiple outcomes.

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The period of the function is 1.57 s.

The amplitude of the function is 6.

The equation of the midline, y = 6 sin 4x + 0.

The general form of a sinusoidal function is y = A sin(Bx - C) + D,

where:

For the given function y = 6 sin 4x, we can see that:

A = 6 (the amplitude is the absolute value of the coefficient of the sine function)

B = 4 (the coefficient of x inside the sine function determines the period)

C = 0 (there is no horizontal shift)

D = 0 (there is no vertical shift, so the midline is the x-axis)

Therefore, the period T is given by:

T = 2π/B = 2π/4 = π/2 = 1.57 s

The midline is the x-axis, so its equation is y = 0.

The amplitude is A = 6.

Therefore, we can write the equation of the function in the general form as:

y = 6 sin 4x + 0

or

y = 6 sin(4x)

Note that since the midline is the x-axis and there is no vertical shift, the sine function will oscillate between -6 and 6.

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Answer:

6.3

Step-by-step explanation:

This is a right triangle, so in order to solve you can use the Pythagorean theorem; which is a² + b² = c² (The hypotenuse, or the longest side, equals C.  A and B equal the legs, or the shorter sides.)  So once you plug in the values, your equation should look like this:

3² + b² = 7²

Square each side, or in other words multiply it by itself.  

9 + b² = 49

Subtract 9 from both sides.  

b² = 40

Take the square root of 40 and your done!

b = 6.3

I hope this helped you!  :)

The equation of the line is represented from the point-slope form by:      y - 20= -3/2(x - 18).

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=6x+9. A line equation also can be represented by the point-slope form: \((y-y_1)=m(x-x_1)\)

m= the slope.

\((x_1,y_1)\)= the coordinate of a point.

For the given example: m=6 and b=9.

The question gives:

For writing the equation, you should find b from the standard form for the linear equation( y= mx+b) , the point (18,20) and the slope (m=-3/2). Then,

y=mx+b

20= -3/2*18+b

20= -3 *9 +b

20=-27 + b

b=20+27

b=47

Therefore,  in the standard form, you have: y=mx+b -> y= -3x/2+47. Converting this in the Point-Slope Formula, you have:

\((y-y_1)=m(x-x_1)\)

y - 20= -3/2(x - 18)

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Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

The road distance between Wrexham and Corwen can be found to be 21 miles

The miles in total that Elyas travelled to and from work each week would be 270 miles.

The road distance between Wrexham and Corwen can be found at the intersection between Wrexham and Corwen on the table which is 21 miles.

The miles between Mold and Oswestry by the same method would be 27 miles. This means that the total miles traveled by Elyas :

= 27 miles x 2 going and coming x 5 days a week

= 270 miles

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Answer:

Total cost: C(x) = 90,000 + 200x in dollars

C(100) = $110,000

This means that the total cost for the company when it produces 100 bikes would be $110,000

Step-by-step explanation:

First, you have a fixed cost, so you would start by setting C(x) to that:

C(x) = 90,000

Then, you have a cost of $200 PER bike that is made. The amount of bikes is represented by x. So you will have to multiply cost per bike by how many bikes are manufactured:

200x

Add this variable cost to the function underlined above.

C(x) = 90,000 + 200x

This is your function C(x).

Now for C(100), PLUG IN 100 for x:

C(100) = 90,000 + 200(100)

Multiply out:

C(100) = 90,000 + 20000

Then add these together to get the value:

C(100) = 110,000

This is the amount of money it would cost to make 110000 bikes, as interpreted above.

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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The mean, median, and mode for the monthly salary dataset is 1794, 1790, and 1940 respectively.

How to find the mean, median and mode of any dataset?

As there are 10 data in set, then mean is

\(Mean = \frac{Sum\ of\ Observations}{Number\ of\ Observations}\)

\(Mean = \frac{1940 + 1660 + 1860 + 2100 + 1720 + 1540 + 1760 + 1940 + 1820 + 1600}{10} \\\\Mean =\frac{17940}{10} \\\\Mean = 1794\)

Let's find the Median for the same after arranging in ascending order,

1540,1600,1660,1720,1760,1820,1860,1940,1940,2100

\(Median = \frac{Sum\ of\ the\ two\ mid\ values}{2}\)

\(Median = \frac{1760 + 1820}{2}\\\\Median = \frac{3580}{2}\\\\Median = 1790\)

And the mode is the data which occurs maximum times i.e. 1940 (occurs twice)

As the employee receives a 5% raise then mean, median and mode will increase by 5%.

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Answer:    164ft

(this is for the extra characters)

Answer:

C - $20.30

Step-by-step explanation:

-9.55 + (-10.75) = - 20.3

Answer:

K = -5.2

Step-by-step explanation:

I hope this helped