Suppose the number of CD players a retail chain is willing to sell per week at a price of dollars is given by the function
S(p) =[tex]\frac{70p}{1p+2}[/tex]
Find the supply and the instantaneous rate of change of the supply with respect to price when the price is 40 dollars.
S(40) = already got (66.677)
S'(40) = ?

Answer: Quadrant I

Step-by-step explanation:

By using the Pythagorean theorem, both the distance from A to M and the distance from B to M are approximately equal to 8.25 units.

Diameters are line segments whose endpoints lie on the same circumference and whose midpoint is the center of the circle associated to that circumference. In this problem we know the locations of the endpoints (points A and B) and a third point (point M) inside the diameter, and based on all this information we must determine the distances between points A and M and points B and M.

Each case can be found by using the Pythagorean theorem in the following form:

Points A and M

AM = √[[- 5 - (- 3)]² + [- 4 - (- 12)]²]

AM = 2√17

AM ≈  8.25

Points B and M

BM = √[[- 7 - (- 5)]² + [4 - (- 4)]²]

BM = 2√17

BM ≈ 8.25

To learn more on Pythagorean theorem: https://brainly.com/question/14930619

#SPJ1

Answer:

m-3  = g

  2

  OR

(m-3) ÷ 2 = g

Step-by-step explanation:

m = Maria

g = George

m = 2g + 3

We need g by itself

Since it is + 3 we can get rid it by doing -3 on both sides to end up with:

m-3=2g

To get rid of 2 we divide on both sides to end up with:

m-3  = g

  2

  OR

(m-3) ÷ 2 = g

Answer:

at the end of the day the temperature would be -26° F

3/4 of the time it takes Maria to do the same job by herself.

A time interval that is equivalent to 60 minutes and one-fourth of a mean solar or civil day.

(a)The situation from 3 to 9 on clock the hour hand turns through 1/2 gives 2/1 of revolution , clockwise.

(b)The situation 4 to 7 on the clock, the hour hand turns through 1/4 gives 4/1 of revolution, clockwise.

(c)The situation from 7 to 10 on the clock, the hour hand turns 1/4 gives 4/1 of revolution, clockwise.

(d) The situation from 12 to 9 on the clock, the hour hand turns 3/4 gives 4/3 of revolution, clockwise.

(e)The situation from 1 to 10 on the clock, the hour hand turns 3/4 gives 4/3 of revolution, clockwise.

(f)The situation from 6 to 3 on clock, the hour hand turns 1/4 gives 4/1 of revolution, clockwise.

1/2*3/2 = 3/4

use keep, flip, change.

Time is the series of events that take place over time, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.

Hence, 3/4 of the time it takes Maria to do the same job by herself.

To learn more about time and hour visit:

brainly.com/question/23365957

#SPJ1

Answer:          3/4 is the correct answer because when you solve they give you 3/4

The solution for v in the equation is v = -48

The equation is given as:

v over 6 minus 3 equals negative 11

Rewrite properly as

v/6 - 3 = -11

Add 3 to both sides

v/6 = -8

Multiply both sides by 6

v = -48

Hence, the solution for v in the equation is v = -48

Read more about equations at:

https://brainly.com/question/13763238

#SPJ1

Answer: the answer is v=48 hope this helps!!

Answer:

100

Step-by-step explanation:

We multiply by 100 because we need to move the decimal 2 places to get rid of it

I know this because 98.48*100=9848

Answer:

$1.78

Step-by-step explanation:

You need to multiply!
Do this: $6.14 x 0.29 = 1.7806 (using a calculator.)

Round to the nearest whole number/cent, which will give you $1.78. That is your answer!

Answer:

Answer to a)

f'(x) = 9 • (4x² + 2x + 3) ^8 • (4x + 2)

https://www.1728.org/chainrul.htm

(scroll to the bottom of that page.)

Step-by-step explanation:

Answer:

15,000 total, 4000 day 1, then 1000 for day 2 thru 12.

1. Let's solve for x.

x−2y−z=−6

Step 1: Add 2y to both sides.

x−2y−z+2y=−6+2y

x−z=2y−6

Step 2: Add z to both sides.

x−z+z=2y−6+z

x=2y+z−6

Let's solve for y.

x−2y−z=−6

Step 1: Add -x to both sides.

x−2y−z+−x=−6+−x

−2y−z=−x−6

Step 2: Add z to both sides.

−2y−z+z=−x−6+z

−2y=−x+z−6

Step 3: Divide both sides by -2.

−2y

−2

=

−x+z−6

−2

y=

1

2

x+

−1

2

z+3

Let's solve for z.

x−2y−z=−6

Step 1: Add -x to both sides.

x−2y−z+−x=−6+−x

−2y−z=−x−6

Step 2: Add 2y to both sides.

−2y−z+2y=−x−6+2y

−z=−x+2y−6

Step 3: Divide both sides by -1.

−z

−1

=

−x+2y−6

−1

z=x−2y+6

2.Let's solve for x.

−x+6y−3z=18

Step 1: Add -6y to both sides.

−x+6y−3z+−6y=18+−6y

−x−3z=−6y+18

Step 2: Add 3z to both sides.

−x−3z+3z=−6y+18+3z

−x=−6y+3z+18

Step 3: Divide both sides by -1.

−x

−1

=

−6y+3z+18

−1

x=6y−3z−18

Let's solve for y.

−x+6y−3z=18

Step 1: Add x to both sides.

−x+6y−3z+x=18+x

6y−3z=x+18

Step 2: Add 3z to both sides.

6y−3z+3z=x+18+3z

6y=x+3z+18

Step 3: Divide both sides by 6.

6y

6

=

x+3z+18

6

y=

1

6

x+

1

2

z+3

Let's solve for z.

−x+6y−3z=18

Step 1: Add x to both sides.

−x+6y−3z+x=18+x

6y−3z=x+18

Step 2: Add -6y to both sides.

6y−3z+−6y=x+18+−6y

−3z=x−6y+18

Step 3: Divide both sides by -3.

−3z

−3

=

x−6y+18

−3

z=

−1

3

x+2y−6

Let's solve for x.

2x−11y+5z=−33

Step 1: Add 11y to both sides.

2x−11y+5z+11y=−33+11y

2x+5z=11y−33

Step 2: Add -5z to both sides.

2x+5z+−5z=11y−33+−5z

2x=11y−5z−33

Step 3: Divide both sides by 2.

2x

2

=

11y−5z−33

2

x=

11

2

y+

−5

2

z+

−33

2

Let's solve for y.

2x−11y+5z=−33

Step 1: Add -2x to both sides.

2x−11y+5z+−2x=−33+−2x

−11y+5z=−2x−33

Step 2: Add -5z to both sides.

−11y+5z+−5z=−2x−33+−5z

−11y=−2x−5z−33

Step 3: Divide both sides by -11.

−11y

−11

=

−2x−5z−33

−11

y=

2

11

x+

5

11

z+3

Let's solve for z.

2x−11y+5z=−33

Step 1: Add -2x to both sides.

2x−11y+5z+−2x=−33+−2x

−11y+5z=−2x−33

Step 2: Add 11y to both sides.

−11y+5z+11y=−2x−33+11y

5z=−2x+11y−33

Step 3: Divide both sides by 5.

5z

5

=

−2x+11y−33

5

z=

−2

5

x+

11

5

y+

−33

5

the spaces r meant to be fractions

The amount of money on the gift card when Nevaeh received the card = y-intercept of the function = $30.

The starting value/y-intercept of any function is the initial value or the value of y when x is equal to 0.

In the given scenario, the starting value/y-intercept (b), is the amount of money that was on the gift card when Nevaeh received the card.

Given the following:

Rate of change (m) = -3

Find b, y-intercept by substituting a point, (3, 21) and m = -3 into y = mx + b:

21 = -3(3) + b

Add 9 to both sides

21 + 9 = -9 + b + 9

30 = b

b = 30

Therefore, the amount of money on the gift card when Nevaeh received the card = y-intercept of the function = $30.

Learn more about y-intercept of a function on:

https://brainly.com/question/22045441

#SPJ1

Answer: 20

Step-by-step explanation:

its divisible by 5 and it is not even

The length of pipes are 235 inch and 47 inch.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

length of pipe = 282 inch

as, One piece is five times the length of the other.

then the pipe is in 6 parts

So, length of each = 282/6 = 47 inch

and, then the length of pieces

=47 * 5

= 235 inches

Hence, the length of pipes are 235 inch and 47 inch.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ1

Answer:

54°

Step-by-step explanation:

Given BD bisects ∠ABC, which means it divided the angle into two equal parts, we can write the following equation to find the value of x, then the measure of ∠ABC:

9x = 8x + 3 subtract 8x from both sides

x = 3

The measure of ∠ABC = ∠ABD + ∠DBC

∠ABC = 9x + 8x + 3 add like terms

∠ABC = 17x + 3 replace x with 3

∠ABC = 17*3 + 3 and

∠ABC = 54°

The circle's center is on the x-axis.

Three units make up the circle's radius.

The radius of this circle corresponds to the radius of the circle whose equation is x2 + y2 = 9.

In accordance with the previous sentence, a Cartesian coordinate system in a plane is a coordinate system that uniquely identifies each point by a pair of numerical coordinates, which are the signed distances between two fixed perpendicular oriented lines to the point, measured in the same unit of length;

according to given statement;

Circle's standard equation is written as:

Centre is (-g, -f)

radius = √g²+f²-C

Given a circle whose equation is

Get the center of the circle

2gx = -2x

2g = -2

g = -1

Similarly, 2fy = 0

f = 0

Centre = (-(-1), 0) = (1, 0)

This shows that the center of the circle lies on the x-axis

r = radius = √g²+f²-C

radius = √1²+0²-(-8)

radius =√9 = 3 units

The radius of the circle is 3 units.

For the circle x² + y² = 9, the radius is expressed as:

r² = 9

r = 3 units

Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

to know more about x-axis visit,

https://brainly.com/question/1412104

#SPJ9

The solution to the inequality p + 3.6 > −5.8 is p ∈ (-9.4, ∞) the number line (B) represents the solution set to the inequality.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is:

p + 3.6 > −5.8

After simplification:

p > -5.8 - 3.6

p > -9.4

The number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.

After plotting on the number line:

p ∈ (-9.4, ∞)

Thus, the solution to the inequality p + 3.6 > −5.8 is p ∈ (-9.4, ∞) the number line (B) represents the solution set to the inequality.

Learn more about inequality here:

brainly.com/question/19491153

#SPJ5

Answer: A, I think,

Step-by-step explanation: I'm pretty sure its A because everyone said it's not B and I did the math to get - 9.4. Please let me know if I was wrong on this.

Hope this helps!

This questions have been solved in three steps showing the sequence of transformation that maps ∆ABC to ∆A''B''C''.

As per the question statement, we are supposed to describe in words a sequence of transformations that maps ∆ABC to ∆A''B''C''.

Before solving the question, we need to know about the coordinates of vertices of ∆ABC , which is as follows:  

[tex]A(-5,3)[/tex] , [tex]B(-2,3)[/tex] and [tex]C(-4,1)[/tex]

Now coordinates of vertices of ∆A''B''C'' are as follows:

[tex]A"(8,-2)[/tex] , [tex]B"(5,-2)[/tex] and  [tex]C"(7,0)[/tex]

Step 1: Shifting the ∆ABC four units vertically down so that the edge [tex]AB[/tex] lies on the [tex]x-axis[/tex]

Step 2: Shifting the ∆ABC ten units in horizontally right direction.

Step 3: Inverting the ∆ABC by [tex]180[/tex]° on the same axis

Step 4: Rotating the ∆ABC by  [tex]180[/tex]° hence the new  ∆A''B''C'' is mapped.

This question is a classic example to practice the coordinate geometry.

To learn more about coordinate geometry, click on the link given below:

https://brainly.com/question/18269861

#SPJ1

that is the solution and just writing so you can have the answer

The solution to the inequality expression is n < -9

The inequality expression is given as

4n - 6(n + 1) > 12

Open the bracket in the above inequality expression

4n - 6n - 6 > 12

Evaluate the like terms

-2n > 18

Divide both sides by -2

n < -9

Hence, the solution to the inequality expression is n < -9

Read more about inequality at

https://brainly.com/question/24372553

#SPJ1

The values of the variables in the linear equations are almost constant values.

According to the statement

We have to find that the values of the variables.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The given equations are:

1) r = -29+11

r = -18

2) x  =20-16

x  = 4

3) n = 7-1

n = 6

4) r = -153/9

r  = -17

5) m = -20/2

m = -10

6) m = 12+1

m = 13

7) x  = -13*4

x = -52

8) k = -30+18

k = -12

9) n = 32-15

n = 17

10) x  = -30+15

x = -15.

So, The values of the variables in the linear equations are almost constant values.

Learn more about linear equation here

https://brainly.com/question/4074386

#SPJ9

https://brainly.com/question/16148316Based on the given information option D i.e.  fourth two-way table represents the results of the survey .

A two way table is a way to display frequencies or relative frequencies for two categorical variables. One category is represented by rows and a second category is represented by columns.

A two-way table is a way to organise data about two specific variables. This example shows a two-way table where the variables are gender and favourite sport. The table holds a lot of information.

Making two way tables

Step 1: Identify the variables.

Step 2: Determine the possible values of each variable.

Step 3: Set up the table.

Step 4: Fill in the frequencies.

On the basis of the given question

Total males = 49 , in which 30 prefer a music center and rest of the males (19) prefer computer center.

Total students = 100 , in which 44 students prefer a computer center and rest of the students (56) prefer music center.

There is no data given for females .

Therefore ,  on the provided data, option D, or the fourth two-way table, depicts the survey results.

To learn more about two-way table

https://brainly.com/question/16148316

#SPJ1

Based on the given information option D i.e.  fourth two-way table represents the results of the survey .

When displaying frequencies or relative frequencies for two categorical variables, a two-way table is used. Columns indicate the second category, whereas rows represent the first.

Data regarding two particular variables can be organized using a two-way table. The variables in this example's two-way table are gender and preferred sport. There is a lot of information in the table.

Creating round tables

First, determine the variables.

Step 2: Establish the range of possibilities for each variable.

3. Position the table.

Fill in the frequencies in Step 4.

Using the posed query as a guide

Total number of guys is 49, of which 30 prefer a music center and the remaining 19 a computer center.

100 pupils total, of whom 44 chose a computer center and the remaining (56 kids) a music center.

There is no information provided for women.

As a result, option D, or the fourth two-way table, shows the survey results based on the data provided.

Answer:

[tex]1+\cos x[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4cm}\underline{Trigonometric Identities}\\\\$\csc \theta=\dfrac{1}{\sin \theta}\\\\\\\cot \theta=\dfrac{\cos \theta}{\sin\theta}\\\\\\\cos^2 \theta + \sin^2 \theta = 1$\\\end{minipage}}[/tex]

[tex]\begin{aligned}\implies \dfrac{ \sin x}{ \csc x - \cot x} & = \dfrac{ \sin x}{\dfrac{1}{\sin x} - \dfrac{\cos x}{ \sin x}}\\\\& = \dfrac{ \sin x}{\dfrac{1 - \cos x}{\sin x}}\\\\& = \sin x \times \dfrac{\sin x}{1 - \cos x}\\\\& = \dfrac{\sin^2 x}{1-\cos x}\\\\& = \dfrac{1-\cos^2x}{1-\cos x}\\\\& = \dfrac{(1-\cos x)(1+ \cos x)}{1-\cos x}\\\\& = 1 + \cos x\end{aligned}[/tex]

The required total combinations there from choosing 2 different side dishes is 12.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

                                          French fries
Salad                                 Onion rings                                            Beans

Number of combinations = 3

                                            Beans
Salad                                 Onion rings                                       French fries

Number of combinations = 3

                                            Salad  
Beans                              Onion rings                                       French fries
Number of combinations = 3  

                                        Onion rings      
Beans                                 Salad                                       French fries
Number of combinations = 3

Total number of combinations = 12

Thus, the required total combinations there are from choosing 2 different side dishes is 12.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ1

Answer:

620

Step-by-step explanation:

617 rounded to the nearest ten = 620.

The number 617 when rounded to the nearest ten will be 620.

We examine the digit in the position of the one and decide whether it is closer to the previous ten or the next ten to round a number to the closest ten.

The digit in the ones place for the number 617 is 7. We round up to the next ten since 7 is bigger than or equal to 5, so we do.

The tens digit is raised by one and all the digits to its right are set to zero in order to round up to the following ten.

So, when we round 617 to the nearest tenth, we get 620.

More about the rounding of a number link is given below.

https://brainly.com/question/19031319

#SPJ6

Answer: 25 inches

Step-by-step explanation:

MB=BM

MB=15

MV=MB+BV

MV=15+10

MV=25 inches

The slope of the tangent line of the given graph of f(x) is found by the ratio of the rise to the run of the tangent line at x = -2, which gives;

The tangent to a curved graph at a point is given by a line that is perpendicular to the radius of the curve at that point.

The formula that gives the tangent is expressed as follows;

Examination of the graph gives;

The slope at the point x = -2 is positive

The maximum slope from x = -6.5 to x = -1.5 is approximately 3/2 = 1.5

Therefore;

The option that gives the estimate for the slope of the tangent line at x = -2 is therefore;

Learn more about the tangent to a curve here:

https://brainly.com/question/22426360

#SPJ1