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4 years ago

Write an algebraic expression using n the sum of a number and 7

Mathematics

1 answer:

liubo4ka [24]4 years ago

6 0

Answer:

n+7

Step-by-step explanation:

When we have any unknown quantity, we can call it mostly x,y,z

so, here

Let take an unknown number = n

then

we need to do here " sum of a number and 7 in algebraic form"

so, it becomes

n + 7 (Answer)

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A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equati

lilavasa [31]

Answer:

The minimum average cost is $2.80 when 163 players are built

Step-by-step explanation:

Average Cost Function

We'll assume the given function as the total cost to produce x players, and NOT the average cost since that is a different definition, as shown below.

The cost C to produce x DVD/Blu- ray players is given by the equation

$C=0.03x^2-7x+800$

The Average Cost function is defined as

$\displaystyle\bar C=\frac{C}{x}$

$\displaystyle\bar C=\frac{0.03x^2-7x+800}{x}$

$\displaystyle\bar C=0.03x-7+\frac{800}{x}$

To find the extreme value of the average cost, we must take the first derivative of the function

$\displaystyle\bar C'=0.03-\frac{800}{x^2}$

Equating to 0

$\displaystyle 0.03-\frac{800}{x^2}=0$

Solving for x

$\displaystyle x=\sqrt{\frac{800}{0.03}}$

$x=163$

The second derivative is

$\displaystyle\bar C''=\frac{1600}{x^3}$

For x=163 the second derivative is positive, thus x=163 is a minimum value. Let's compute the minimum average cost

$\displaystyle\bar C(163)=0.03\cdot 163-7+\frac{800}{163}$

$\displaystyle\bar C(163)=2.80$

The minimum average cost is $2.80

5 0

3 years ago

What is the angle of 3:25?

Veronika [31]

The answer is 47.5.

The equation for this problem is:

60(H) + (M) divided by 2.
Plug the numbers of the time in the equation,

60(3) + (25) / 2

180 + 25 / 2 = 205/2

205/2 = 102.5 (Smaller Angle)

Then you calculate the angle between 12 and the Minute hand 25.

0m= 6M
0m = 6(25)
0m= 150

Final step is to subtract the hour angle by the minute angle.

H(102.5)-(150)= -47.5 or 47.5 degrees

Hope this helps,

kwrob

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4 years ago