What is the difference between comparing two things and contrasting two things?

Answer:

a) file annex

b) V(c) = π*x²*y

    A(x) = 2*π*x² + 32/x

    C(x) =  0,1695*x²  +  0,48 /x

     Domain C(x) = {x/ x >0}

d) C(min) = 0,64 $

    x = 1.123 in      radius of base

    y = 4,04 in      height of the can

Step-by-step explanation:

See annex file

Lets:

call x = radius of the base of the cylinder  and

y = the height of the cylinder

Then

Volume of the cylinder      ⇒    V(c) =  π*r²*h             ⇒V(c) = π*x²*y

And  y = V / ( π*x²)     ⇒   V = 16 / ( π*x²)

Area of cylinder  = lids area  +  lateral area

lids area = 2*π*x²  ⇒  lateral area = 2*π*x*y

lateral area =2*π*x [16/(π*x²) ]    ⇒   lateral area =  32/x

Then

A(x) = 2*π*x² + 32/x

Function cost C(x)

C(x) = 0.027 *  2*π*x²  +  0.015 * (32/x)

C(x) =  0,1695*x²  +  0,48 /x

Domain C(x) = {x/ x >0}

Now function cost:

C(x) =  0,1695*x²  +  0,48 /x

Taking derivative:

C´(x) =  2*0,1695*x  - 0.48/x²     C´(x)  =  0,339*x  -  0.48/x²

C´(x)  = 0            0.339*x³ - 0.48 = 0   x³ = 0.48/0.339   x³  = 1.42

x = 1.123 in

y = 16/πx²     ⇒  y = 4,04 in

C(min) = 0,64 $

The solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Given that company for largegroups charges a one time fee of $200 plus an additional $25 per person who goes on the tour.

Let's consider n be the number of people going on the tour.

Then the inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be;

200+25n ≥1650

To solve for n;

200+25n=1650

25n=1450

n=58

Hence, the solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.

Learn more about inequalities here:

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Answer:

200+25n=1650

n=58

Step-by-step explanation:

200+25n=1650

25n=1450

n=58

Answer:

d = -

Step-by-step explanation:

given

- 16y = da ( isolate d by dividing both sides by a )

= , that is

= d or

d = -

On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of and the range of f is the domain of .

Using this algorithm, you can find the inverse only in case C:

for m(x)=-7x:

1. y=-7x.

2. x=-7y.

3. y=-x/7.

4. .

5. The domain and the range of m(x) are all real numbers as well as the domain and the range of

Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.

Answer:

The sales tax is 8%

Explanation:

We are given that:

The price of the rocket is $24 and the sales tax is $1.92

To get the percentage of the sales tax, all we have to do is divide the sales tax by the price of the rocket and then multiply the quotient by 100 (to convert the ratio to percentage)

This is done as follows:

% of sales tax =

% of sales tax = %

Hope this helps :)