What is the value of y
x+y/2= 7
A) y = 9 - X
B) y = 3.5 - X
C) y = 5 - X
D) y = 14 - x

(a) The revenue function that would be obtained at a price p is R(x) = px = (480 - x)x = 480x - \(x^{2}\).

(b) The graph of the revenue function R(x) is a parabola that opens downward and has a vertex at (240, 115200).

(c) The price that will produce maximum revenue is $240.

(d) The maximum revenue is $115,200.

This question uses the theory of quadratic functions to find the revenue function R(x) and graph it, and the vertex formula to find the price that will produce maximum revenue and the maximum revenue.

(a) To find the revenue R(x) that would be obtained at a price p, we need to multiply the demand x by the price p.

The demand p is given by the equation p = 480 - x, so the revenue

     R(x) = px = (480 - x)x = 480x - x^2.

(b) To graph the revenue function R(x),

we can first plot the equation of the parabola

     R(x) = 480x - \(x^{2}\)

We can then plot the points (0, 0), (240, 115200), and (480, 0) and connect them to form the graph of the parabola.

(c) To find the price that will produce maximum revenue, we need to find the vertex of the parabola

            R(x) = 480x - \(x^{2}\)

To do this, we can use the formula for the x-coordinate of the vertex:

          x = -b/2a = -(480)/(2*480) = -1/2.

Therefore, the price that will produce maximum revenue is p = 480 + (-1/2) = 240.

(d) The maximum revenue is the y-coordinate of the vertex of the parabola

           R(x) = 480x - \(x^{2}\)

We can use the formula for the y-coordinate of the vertex:

          y = f(x) + \(b^{2}\)/4a = 480x - \(x^{2}\) + (480^2)/(4*480) = 115200.

Therefore, the maximum revenue is $115,200.

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Answer:

$31

Step-by-step explanation:

First, to find how much the total was after we coupon we have to multiply 32.20 by 0.10. when we do that we get 3.22. Since the coupon was a discount we subtract 3.22 from 32.20 to get 28.98. We then multiply 28.98 by 0,07 to find out how much the 7% tax is. When you do that you get 2.0286. Add that to 28.98 since the tax add to the price. When you do that your answer round up to $31.

Answer:

$31.01

Step-by-step explanation:

32.20 x .10=3.22 coupon

32.20-3.22=28.98 discounted bill

28.98 x.07= 2.03 tax and add that together

$31.01 total bill

Answer:

80*

Step-by-step explanation:

Angle x + 80* add up to the vertical angle of 160*

So, 160* = x + 80*

80* = x

Answer:

80°

Step-by-step explanation:

160 is vertically opposite the x and 80, which means they have the same value.  This makes x+80=160.

This can be solved to x=80.

Answer: the graph is incorrect

Step-by-step explanation:

The graph should be headed towards the left (the negative x side) because x is negative

Answer:

The graph is not correct, because it is a positive graph. It answers the equation y= x, and Franco said it was y= -x. His line would be negative, and this graph is positive.

Step-by-step explanation:

The volume of the sphere according to the question will be approximately 7232.752cm³.

What is a sphere?

A geometric shape with a sphere-like appearance. In three dimensions, the sphere is defined. The sphere is a three-dimensional solid with a volume and surface area.

What is the Volume of sphere?

A sphere is a perfectly round geometrical 3D object. The formula for its volume equals:

              Formulae of  Volume of sphere = (4/3) × π × r³

So according to the question:

                            r = 12cm(given)

Substitute in above formulae:

                    =(4/3)×3.14×12×12×12 cm³           [Here 4/3= 1.333, π=3.14,r=12]

                    = 1.333×3.14×12×12×12 cm³

      Volume of sphere will be =7232.752 cm³

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Answer:

  745

Step-by-step explanation:

You want the original number of books in the library if adding 298 children's books increased the fraction of children's books from 2/5 to 4/7.

We often like to work problems like this in terms of "ratio units." Here, we'll let x represent the number of books in a ratio unit. This means the number of children's books is originally 2x, and the total number of books is originally 5x. Then we have ...

  (2x +298)/(5x +298) = 4//7

Cross multiplying gives ...

  7(2x +298) = 4(5x +298)

  3(298) = 6x . . . . . . . . . . . . . subtract (14x+4(298))

  149 = x

  745 = 5x . . . . . . the original number of books in the library

There were 745 books in the library at first.

__

Additional comment

If we let x represent the original number of library books, then the arithmetic involves more fractions. You would have an equation like ...

  2/5x +298 = 4/7(x +298)

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Answer:

The domain is \(D_C = [0,\infty)\)

The range is: \(R_C = [20,\infty)\)

Step-by-step explanation:

Domain and range of a function:

The domain of a function are the values that the input assumes, while the range are the values that the output assumes.

In this question:

\(C(m) = 0.05m + 20\)

m is the input, which is the number of phone calls, which can be any number between 0 and infinite. So

The domain is \(D_C = [0,\infty)\)

When the input is m = 0, the value of C(0) = 20. As m increases, so does C(m). This means that:

The range is: \(R_C = [20,\infty)\)

Answer:

Option 1  because

domain: m is Greater than or equal to zero

range: C is greater than or equal to twenty

Step-by-step explanation:

The (C) cost of the bill is always going to start at twenty and be higher depending on how many (m) minutes were used.

Edg2021

Answer:

ask your teacher so you can get better grades

Answer:

The probability that one marble drawn at random is not blue is 70%

Answer:

IF the values are same....................

Answer:

IF the values are same....................

Step-by-step explanation:

IF the values are same....................

Answer:

wheres the diagram???

Step-by-step explanation:

Answer:

D. a vertical shift of 2 and a phase shift of pie/ 2

Step-by-step explanation:

The correct answer is:  
     [A]:  " ∡2 is supplementary to ∡3 " .

___________________

The other answer choices given—which are correct statements—only prove that " a || b " {that is:  "Line A" is parallel to "Line B".}

___________________

The volume of the solid obtained by rotating about the x-axis the region enclosed by the curves is 32π/5 cubic units.

In this problem, we are asked to find the volume of a solid obtained by rotating a region enclosed by curves about the x-axis. We will use integration to calculate the volume.

First, let's sketch the region and the solid we need to find the volume of.

The region is enclosed by the curves

=> y = 16 /(x² + 16), y = 0, x = 0, and x = 4.

When we rotate this region about the x-axis, we get a solid with a hole in the center, shaped like a donut.

To find the volume of this solid, we can use the method of cylindrical shells.

We start by taking a thin strip of the region, parallel to the y-axis, and of width dy. This strip has height y, and we rotate it about the x-axis to get a cylindrical shell of thickness dy and radius x.

The volume of this cylindrical shell is given by the formula V = 2πxy dy, where x is the distance from the y-axis to the edge of the shell.

To express x in terms of y, we can solve for x in the equation

y = 16 /(x² + 16).

y(x² + 16) = 16

x² = 16/y - 16

x = √(16/y - 16)

Now we can substitute x into the formula for V to get:

V = 2πx(16/(x² + 16)) dy

\(= 2\pi(16/y - 16)^{1/2}(16/y) dy \\\\= 32\pi(y - y^{3/2}) dy\)

To find the total volume, we integrate this expression from y = 0 to y = 1 (since the maximum value of y is 16/16 = 1):

\(\int_0^1 32\pi(y - y{(3/2)}) dy = 32\pi/5\)

Therefore, the volume of the solid obtained by rotating the region about the x-axis is 32π/5 cubic units.

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Answer:

10 pounds for $4.99

Step-by-step explanation:

If you multiply the 5 pounds for 2.69 by 2, you would get 10 pounds of hamburger for 5.38 which is more than 4.99

To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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Answer: B. The exact frequency for each category on the scale of measurement

Step-by-step explanation: The main difference between a grouped table and regular frequency distribution exists in the fact that ; grouped table takes in a defined range of (X) values, that is takes more than one individual value per group and takes the frequency of all scores or values in the group, hence giving the frequency of the scores in the interval rather than the frequency of each individual score. On the other hand, the regular frequency distribution treats values or scores individually and then takes the frequency of each score. This way a regular frequency distribution enables us to know the exact number or distribution of each individual score.

The information in a regular frequency distribution table that is not available from a grouped table is (b) the exact frequency for each category on the scale of measurement

There are several similarities between a regular frequency table, and a grouped frequency table.

However, both frequency tables have a major difference.

This difference is in the frequency of the data they represent

While a regular frequency table shows the exact frequency of each data element, a grouped frequency table cannot show the exact frequency of each data element.

Hence, the true option is (b)

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The scale factor is: 1.8

because of :

\(\frac{36}{20}=1.8\\ \\\\\frac{25.2}{14}=1.8\)

Answer:

I CANT SEE WHAT IT SAYS

Step-by-step explanation:

Answer:

The second option

Step-by-step explanation:

The square root of a function could be smaller than 3, so the function could evaluate to less than 0, but the other 3 don't have any points smaller than 0. Therefore, the only possible option is the 2nd one.

Also, if you try to evaluate it in x = 0, which is sqrt(0)-3 = -3, the only option that satisfies that would be the second one.

I hope this helped.

The second option is the graph of y = √x-3.

Here, we have,

The square root of a function could be smaller than 3,

so the function could evaluate to less than 0, but the other 3 don't have any points smaller than 0.

Therefore, the only possible option is the 2nd one.

The graph of y = √(x) - 3 represents a square root function that is shifted vertically downward by 3 units.

The square root function itself is a curve that starts at the point (0, 0) and gradually increases as x increases.

By subtracting 3 from the square root function, the entire graph is shifted downward by 3 units.

This means that the new y-values of the graph are 3 units less than the corresponding y-values of the square root function.

Also, if you try to evaluate it in x = 0, which is √(0)-3 = -3,

the only option that satisfies that would be the second one.

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The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3

To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:

Since for all x > 0, we have:

Thus, by the limit comparison test:

converges if and only if converges.

We can evaluate  using the power rule of integration:

where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:

∫(1/x^4) dx from 1 to infinity = lim as b → infinity

=>

=> 0 - (-1/3)

=> 1/3

Since the integral  dx converges by comparison to a convergent integral, and its value is 1/3.

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Note: The full question is

Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1

Answer:

The answer is 19,000

Step-by-step explanation:

18,792 you round to the thousand which is 8 and the number after is 7 which is above 5 so the 8 turns into a 9

Answer:

19000

Step-by-step explanation:

18,792

Rounding to the nearest thousand

The 8 is in the thousands place

We look at the number in the hundreds place, 7

It is 5 or higher so we will round the 8 up to 9 and everything else to the right will become zeros

18,792 becomes 19000

Answer:

sold 120 chocolate bars

sold 140 peanut butter bars

Step-by-step explanation:

x = peanut butter bars

y = chocolate bars

x + y = 260, total lbs

0.25x + 0.30y = 71, money

solve double variable equation

multiply -4 on both sides for 2nd equation

-x + -1.2y = -284

add both equations together

-0.2y = -24

y = 120

x = 260 - 120

x = 140

sold 120 chocolate bars

sold 140 peanut butter bars

\(\huge \bf༆ Answer ༄\)

Let's use Unitary method to solve the question ~

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:4 \: mm \rightarrow20 \: miles\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:1 \: mm \rightarrow(20 \div 4) \: miles\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:1 \: mm \rightarrow5 \: miles\)

Therefore, 1 mm corresponds to 5 mile according to the map.

so, correct choice is ~

\(\overbrace{  \underbrace{\underline{ \boxed{ \sf A }}}}\)

Answer:

1/4

expalation: 0.25 = 25/100 = 1/4

Answer:

105cm squared

Step-by-step explanation:

I put my answer here before, but somehow it got deleted, so I'm typing it again.

A square-based pyramid is made up of one square and four triangles.

We know that one side of the square is 5cm. And since all four sides of the square are the same, we know that the base is 5 x 5.

5 x 5 = 25

Therefore, the area of the base is 25cm squared.

Now, we need to find the area of one triangle. To find the area of a triangle, we multiply the base by the height, then halve it. We know that base of the triangle is 5cm as it shares a side with the square. We also know that the height of the triangle is 8cm.

5 x 8 = 40

40 / 2 = 20

Therefore, the area of one triangle is 20cm squared.

But wait! There are 4 triangles, not just one. Which means we have to multiply the area of one triangle by 4.

4 x 20 = 80

Add everything together:

25 + 80 = 105

Therefore, the total surface area of the square-based pyramid is 105cm squared.

Answer:

B

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180° , so

∠ c + 56° + 38° = 180°

∠ c + 94° = 180° ( subtract 94° from both sides )

∠ c = 86°