Suppose the dollar cost of producing x video cameras is C(x) = 500x − 0.003x2 + 10−8x3. Estimate the marginal cost at production level x = 6500. (Round your answer to three decimal places.) $ Find the actual cost C(6501) − C(6500). (Round your answer to three decimal places.) $ Find the average cost per camera at x = 6500.

Answer:

y= 23/2

Step-by-step explanation:

Answer:

y = 76/3

Step-by-step explanation:

2 (6y + 7) = 152

 12y + 14 = 152

         -14      -14

        12y  = 152

          /12      /12

             y = 76/3

Answer:

S = 27/8

Step-by-step explanation:

We need to find the actual sum of \(1\dfrac{3}{4}+1\dfrac{5}{8}\).

We need to find how much Devid grew in two years.

\(1\dfrac{3}{4}=\dfrac{7}{4}\)

and

\(1\dfrac{5}{8}=\dfrac{13}{8}\)

Sum means,

\(S=\dfrac{7}{4}+\dfrac{13}{8}\\\\=\dfrac{7(2)+13}{8}\\\\=\dfrac{14+13}{8}\\\\=\dfrac{27}{8}\)

Hence, the answer is 27/8.

The mulch will cost the homeowner $49.

To find the cost of the mulch, we need to first find the volume of mulch required to cover the garden.

Using the formula for a circle:

Area of a half circle = (1/2) * π * r^2

Plugging in the values, we get:

Area of half circle = (1/2) * π * 6^2 = 56.55 square feet

We need to find the volume of mulch required to cover the garden with a 3 inch layer.

Volume of mulch = Area of half circle * Height of mulch

Volume of mulch = 56.55 * 0.25 = 14.14 cubic feet (rounded to two decimal places)

Finally, we can find the cost of the mulch by multiplying the volume by the cost per cubic foot:

Cost of mulch = Volume of mulch * Cost per cubic foot

Cost of mulch = 14.14 * 3.50 = $49 (rounded to the nearest dollar)

Therefore, the mulch will cost the homeowner $49.

Learn more about volume at https://brainly.com/question/27710307

#SPJ1

Answer:

I think n is -25 but im not sure

Step-by-step explanation:

Answer: John has an object suspended in the air. It has a mass of 50 kilograms and is 50 meters above the ground. Calculate the object's potential energy.

Step-by-step explanation:

Calculate the potential energy for a 2 kg basketball dropping from a height of 3.5 meters with a velocity of 9.8 m/sec².

Ordinal is the answer.

In the given statement is:
A scale that allows one to determine only if there is more, less, or an equal amount of the attribute in comparison to another observation is called a(n) ____ scale.

Ordinal Scale is the 2nd level of measurement that reports the ranking and ordering of the data without actually establishing the degree of variation between them. Ordinal level of measurement is the second of the four measurement scales. "Ordinal" indicates "Order".

Hence, The answer is Ordinal

Learn more about Ordinal Scale at:

https://brainly.com/question/15187147

#SPJ4

The area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10 is 174/3 units².

To find the area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10, we need to solve this problem in the following way:

Since the curves are already in the form of x = f(y), we need to use vertical strips to find the area.

So, the integral for the area of the region is given by:

A = ∫a b [x₂(y) - x₁(y)] dy

Here, x₂(y) = 10 - 2y² - 12y - 19/5 = - 2y² - 12y + 1/2 and x₁(y) = -4y - 10

So,

A = ∫(-3)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy + ∫(-2)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy

=> A = ∫(-3)⁻²[2y² + 8y - 19/2] dy + ∫(-2)⁻²[2y² + 8y - 19/2] dy

=> A = [(2/3)y³ + 4y² - (19/2)y]₋³ - [(2/3)y³ + 4y² - (19/2)y]₋² | from y = -3 to -2

=> A = [(2/3)(-2)³ + 4(-2)² - (19/2)(-2)] - [(2/3)(-3)³ + 4(-3)² - (19/2)(-3)]

=> A = 174/3

Hence, the area of the region enclosed by the curves is 174/3 units².

Know more about area here:

https://brainly.com/question/15122151

#SPJ11

The largest area of the rectangle is 2 square units.

We have a right angled isosceles triangle with hypotenuse 4 units.

so its base will be equal to the perpendicular  , let it be B

So we know ,

B² + P² = H²

2B² = H²

B²  = 16/2

B = 2√2

So base is equal to perpendicular = 2√2 units

Now let consider a rectangle inside the triangle with length 2x and the width y , and the area will become

A = 2xy  ....(1)

we see from the figure the length of the perpendicular AD drawn on the hypotenuse is

BD² + AD² = AB²

AD² = AB² - BD²

      = 8 - 4

AD² = 4

AD = 2 units

Now we see triangle ABD and AEG are similar to each other , So

AD/BD = AG/GE

2/2 = 2-y/x

therefore

x = 2-y

put this value in eqn (1)

A = 2(2-y)y

A = 4y - 2y²

Now to maximize the area we take the derivative of the equation and then put it equal to zero

∴ 4 - 4y = 0

y = 1

∴ x = 2-y = 2-1 = 1 units

So area will be maximum when length and width are 1 units each.

therefore , largest area (A) of the rectangle is  = 2xy = 2 square units.

Learn more about Area maximization here :

https://brainly.com/question/28821169

#SPJ4

________________________________

________________________________

Answer:

x=4/5

Step-by-step explanation:

The total number of gold and blue squares are 18 and 13 respectively.

Here, we are given that Megan is making a quilt from squares of material.

The quilt has 9 rows and each row has 6 squares.

There are 4 corner squares in the quilt which will be white. Around 1 corner square there will be 3 squares that share a side with the white square.

Thus, there will be a total of 12 gold square around the 4 corner squares.

Further, there are two center squares in the middle row that are white.

Around these 2 center white squares there will be 6 squares that share a side with them. Hence, these 6 square will also be gold.

Therefore, the total number of gold squares will be-

6 + 12

= 18

Now, the white squares = 4 + 6 = 10

and gold squares = 18

and the total number of squares = 9 × 6 = 54

Thus, the number of remaining squares = 54 - 18 - 10

= 26

Out of these remaining 26 squares half will be blue and half pink.

Thus, the number of blue squares will be-

26/2

= 13

Hence, we find that the total number of gold and blue squares are 18 and 13 respectively.

Learn more about squares here-

https://brainly.com/question/25092270

#SPJ4

7384(x)748 (8967-888)

Answer: \((x,y) \to (4x,4y)\) which is choice (3)

======================================================

Explanation:

The general transformation of \((x,y) \to (kx,ky)\) describes a dilation with scale factor k. If k is not equal to 1, then the resulting image will not be the same size as the preimage.

In this case, k = 4. This means that the resulting image has its side lengths 4 times greater compared to the preimage side lengths. For example, if a side length is 5 units long in the preimage, then its corresponding length in the image is 5*4 = 20 units long.

If this is enlargement applied to all sides, then the perimeter also goes up by the same scale factor (since the perimeter is the sum of all exterior sides). The image perimeter will be four times that of the preimage perimeter.

In summary, if you apply a dilation (where k is not equal to 1), then the perimeter will change. If k > 1, then the perimeter gets larger. If 0 < k < 1, then the perimeter will shrink.

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

Extra info:

Therefore, the coefficients of the quotient are [2, -8, 42, 0] and the constant term is -328.

One of the four fundamental arithmetic processes, or how numbers are combined to create new numbers, is division. The additional processes are multiplication, addition, and subtraction. What is long division? Long division is a common division method in mathematics that can be easily performed by hand and is appropriate for dividing multi-digit Hindu-Arabic numerals (Positional notation). It divides a division issue into several simpler steps.The dividend is divided by the divisor, as is the case in all division problems, and the quotient is the final result. It makes it possible to conduct calculations involving arbitrary large numbers by following a set of easy steps. When the divisor has only one number, short division, the condensed version of long division.

by the question.

We can use long division to divide. \(x^{4} + 2x^{3} -8x-160\) by \(x + 4\):

   \(2x^2- 8x + 42\)

   ----------------------

\(x + 4 | 2x^3 + 0x^2 - 8x - 160\)

      \(2x^3 + 8x^2\)

       --------------

           \(-8x^2 - 8x\)

            \(-8x^2 - 32x\)

             ------------

                    \(42x - 160\)

                  \(42x + 168\)

                      ----------

                              \(-328\)

\(x + 2x^{3} -8x-160 = (x + 4)(2x^2 - 8x + 42) - 328\)

So, the quotient is \(2x^2 - 8x + 42\)and the remainder is -328.

To know more about long division:

https://brainly.com/question/28824872

#SPJ1

Answer: 7 miles/h and 1 miles/h

Step-by-step explanation:

With the speed of current = x + 1

Against the speed of current = x - 1

ATQ

4(x-1) = 3(x+1)

4x-4 = 3x+3

4x - 3x = 3+4

x = 7

Speed of boat = 7miles/h

Current of river = 1 miles/h

please click thanks and mark brainliest if you like :)

Answer:

Hello,

Boat speed=7 miles/h

Current speed = 1 mile/h

Step-by-step explanation:

I am going to try to explain.

Let say V the speed of the boot (V like vitesse in french)

Let say v the speed of the current.

distance=24 miles

\(\left\{\begin{array}{ccc}V-v&=&\dfrac{24}{4} \\V+v&=&\dfrac{24}{3} \\\end{array}\right.\\\\\left\{\begin{array}{ccc}V-v&=&6 \\V+v&=&8 \\\end{array}\right.\\\\Adding\ the\ 2\ equations\ and\ substracting\ them \\\\\\\left\{\begin{array}{ccc}2V&=&14 \\2v&=&2 \\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}V&=&7 \\v&=&1 \\\end{array}\right.\\\\\)

Boat speed=7 miles/h

Current speed = 1 mile/h

Answer:

A=l×w×h

Step-by-step explanation:

5×5×6×7

1050. or if we add 4 in the solution part 2400

Answer:

-6

Step-by-step explanation:

She added a negative number with a positive number

Answer:

-6

Step-by-step explanation:

-3.3+(-2.7)= -3.3-2.7 = -6

Maureen probably did 3.3-2.7 instead of -3.3-2.7.

Hope this helps!!!

Answer: everyone, its A

Step-by-step explanation: whoever says D, can you become Pinocchio because you are such a liar

Using mean and mean absolute deviation, the average size of seventh- grade class is larger but varies less than that of kindergarten class.

Mean is "the sum of data value is divided by number of value".

Mean absolute deviation of a data set is "the average distance between each data point and the mean."

According to the question,

Mean of kindergarten = 19

Mean absolute deviation of kindergarten = 1.6

Mean of seventh grade class = 29

Mean absolute deviation of  seventh grade class = 0.8

Hence, using mean and mean absolute deviation, the average size of seventh- grade class is larger but varies less than that of kindergarten class.  

Learn more about mean here

https://brainly.com/question/10172714

#SPJ2

A total of 12,000 dollars is made from the sale of 300 books at a price of $40 each. 25 fewer books are sold for every $5 increase in price.      R(x)=(40+5x)(300−25x) R ( x ) = ( 40 + 5 x ) ( 300 − 25 x )

Assumed in this instance is , At a price of 40 dollars apiece, \($(300)(40 \$)=12,000 \$$\) books generate $300 in revenue. The result is that 25 fewer books are sold if we raise the price of each book by $5. That's \($(300-25 x)$\). Due to the fact that the price always rises by five times more than the number of books, the cost is \($(40+5 x)$\).

\($R=(300-25 x) \cdot(40+5 x)$\)

\($R=12000+6000 x-1000 x-125 x^2$\\$R=-125 x^2+5000 x+12000$\\$R=125 x^2-5000 x-12000$\)

The revenue R is expressed as a function of the number x as it approaches 5. R(x)=(40+5x)(30025x) is the necessary revenue function. R(x) = (40 + 5 x)(300 25 x) is the necessary revenue function.

To learn more about revenue refer to :

https://brainly.com/question/2263738

#SPJ4

The result is (x+3) (3x²+4) after factorizing the polynomial.

What is Grouping methods?

The process of rearrangement of algebraic expression depending on the presence of like term is called grouping method.

The process in how we rearrange an algebraic expression by grouping the like terms together with the help of parathesis.

Given. 3x³+9x²+4x+12

By factorizing 3x²(x+3) +4(x+3)

                         (x+3) (3x²+4)

Hence, we get (x+3) and (3x²+4)

to know more about factorization visit:

https://brainly.com/question/14067703

#SPJ1

The trend line is a good fit for the data.

The trend line is a good fit for the data because about half of the points lie above the line and half lie below the line. In addition, the points lie close to the line. The scatter plot is a graphical representation of the data where the values of two variables are plotted on a coordinate plane. In general, if a scatter plot shows a positive correlation between the variables, a trend line can be drawn to help represent the relationship.A trend line is a straight line that is used to represent the general trend of the data in a scatter plot.

The line is drawn such that the number of points above the line is equal to the number of points below the line. This helps to indicate the direction of the relationship between the two variables plotted on the coordinate plane. The closer the data points are to the trend line, the better the fit of the line. So, it can be concluded that the trend line is a good fit for the data.

Learn more about Graphic here,3. Give an example of a visual or graphic representation of information that has

more impact than an explanation of the ...

https://brainly.com/question/28350999

#SPJ11

Using sine rule, the value of angle K is  81.89°

The sine rule, also known as the law of sines, is a mathematical relationship that relates the lengths of the sides of a triangle to the sines of its opposite angles. It can be used to find the unknown sides or angles of a triangle when certain information is given.

The sine rule states:

a/sin(A) = b/sin(B) = c/sin(C)

In this problem, applying sine rule, we can find the unknown angle.

k / sin K = j / sin J

Substituting the values into the formula;

6/sin k = 4.9/sin 54

sin K = 6 sin 54 / 4.9

K = 81.89°

Learn more on sine rule here;

https://brainly.com/question/30401249

#SPJ1

Answer:

26

Step-by-step explanation:

Define the variables:

Given information:

Create an inequality from the defined variables and the given information:

⇒ 2(2n + 2n + 2) > 94

Solve the inequality:

⇒ 2(4n + 2) > 94

⇒ 8n + 4 > 94

⇒ 8n > 90

⇒ n > 11.25

Therefore:

As 2n and 2n+2 are even numbers:

Therefore, the smallest possible value of the larger number is 26.

Answer:

(i)  The sum of 6 and x . Just add 6 and x

     Expression: 6 + x

(ii) 3 more than a number y. Add 3 to y.

    Expression: 3 + y

(iii) One third of a number x. Multiply (1/3) and x.

     Expression: \(\sf\dfrac{1}{3}x\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

(iv) One-half of the sum of number x and y. First add x and y & then multiply the result by (1/2).

        Expression: \(\sf \dfrac{1}{2}(x+y)=\dfrac{x+y}{2}\)

(v) Number y less than a number 7. Subtract 7 from y.

Expression: y - 7

(vi) 7 taken away from x. Subtract 7 from x.

  Expression: x - 7

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

(vii) 2 less than the quotient of x and y. First divide x by y and from the result subtract 2.

Expression: \(\sf\dfrac{x}{y}-2\)

(viii) 4 times x taken away from one third of y.

      4 times x  = 4 *x = 4x. subtract 4x from (1/3)y

     Expression:  \(\sf \dfrac{1}{3}y-4x\)

(ix) Quotient of x by 3 is multiplied by y. Divide x by 3 and multiply the result by y.

  Expression: \(\sf \dfrac{x}{3}*y\)

To calculate the duration of the shift, you need to subtract the clock-in time from the clock-out time.

In this case, the shift worker clocked in at 1730 hours (5:30 PM) and clocked out at 0330 hours (3:30 AM). However, since the clock is based on a 24-hour format, it's necessary to consider that the clock-out time of 0330 hours actually refers to the next day.

To calculate the duration of the shift, you can perform the following steps:

1. Calculate the duration until midnight (0000 hours) on the same day:

  - The time between 1730 hours and 0000 hours is 6 hours and 30 minutes (1730 - 0000 = 6:30 PM to 12:00 AM).

2. Calculate the duration from midnight (0000 hours) to the clock-out time:

  - The time between 0000 hours and 0330 hours is 3 hours and 30 minutes (12:00 AM to 3:30 AM).

3. Add the durations from step 1 and step 2 to find the total duration of the shift:

  - 6 hours and 30 minutes + 3 hours and 30 minutes = 10 hours.

Therefore, the duration of the shift was 10 hours.

Answer:

x = 4

Step-by-step explanation:

RT = RS + ST

RT = 36

RS + ST = 36

6x + 1  + x + 7 = 36

6x + x + 1 + 7 = 36  {Combine like terms}

7x + 8 = 36   {Subtract 8 from both sides}

7x + 8 - 8 = 36 - 8

7x = 28   {Divide both sides by 7}

7x/7 = 28/7

x = 4

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

For more references on divisions, click;

https://brainly.com/question/21416852

#SPJ2

Answer:

20 days

Step-by-step explanation:

The next common number is 20

Answer:

d

Step-by-step explanation:

CAFDYahi Sahi answer hai bhai

Answer:

sorry

Step-by-step explanation:

i don't understand your question