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2 years ago

Find the difference

Mathematics

1 answer:

Makovka662 [10]2 years ago

7 0

Answer:

-5n^2 +2n +5

Step-by-step explanation:

( -4n^2 +2n) - (n^2 -5)

Distribute the minus sign

( -4n^2 +2n) - n^2 +5

Combine like terms

-5n^2 +2n +5

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a rectangle is made by joining two squares adjacent to each other as shown below. if one squared has an area of 144 squared cent

liberstina [14]

Answer:

Hello! After reading your question I have deduced that the correct answer is 288² cm.

Step-by-step explanation:

The way I came to this conclusion was as follows:

Firstly:

If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.

This is because all four sides of a square have to be equal.

Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.

Thus both of the squares are going to be the same size, so they will have the same area.

Secondly:

If the area of one square is 144² cm then the area of the other square should also be 144² cm.

Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.

I hope this helped!

3 0

2 years ago

How would I do the steps to solve this?

allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

$R(p) = -10p^2+800p$

Taking derivative wrt p

$\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\$

Now putting R'(p) = 0

$-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40$

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

$R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000$

The maximum revenue is 16000 dollars (at p = 40)

3 0

2 years ago

A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 mc015-1.jpg of sand. Jared says that the

exis [7]

The correct answer is C. So, lets go first to the equations that determine the volume of these solids. For the cylinder, that is simple; pi*r*r*h where r is the radius, h is the height and pi is the constant 3.14. For the cone, it is not easy to derive but one gets that the formula is: $\frac{ \pi*r^2*h}{3}$ .

We notice thus that $V_{cyl}=\pi*r^2*h=3V_{cone}$ . That holds irrespective of their radius or height; we only need to know that the heights and radii of the two objects are the same. Now, we have thus that:
$\frac{V_{Cyl}}{V_{Cone} } =1/3$ .

We can check if this holds for Jared's statement; 1178/4712=0.25=1/4. So, it does not hold and thus Jared's statement is incorrect.

6 0

3 years ago

Read 2 more answers

Find the Volumes?<br> I need help with both of these, please!!!

Arada [10]

Answer:

1. 36

2. 5390

Step-by-step explanation:

1. V=1wh/3

4 x 3 x 9 = 108

108/3 = 36

2. V=lwh/3

22 x 21 x 35 = 16170

16170/3 = 5390

4 0

2 years ago

Read 2 more answers

14/53= what is the answer

alex41 [277]

Answer:

are you looking for a mixed number if so its 2 4/5

Step-by-step explanation:

3 0

2 years ago