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A wooden cube of mahogany has a side length of 8 cm and a mass of 400 g.

What is the density of the cube?

Round to the nearest hundredth.

Volume = 8^3 = 512cm^3

density = mass/volume = 400/512 = 0.78125g/cm^3

Rounding to the nearest hundred makes little sense becuase the units that the answer should be in are not stated BUT

0.78 g/cm^3     may be what the question is after.

Trigonometry is, in my opinion, kind of annoying, and is where your problem has its base.

We need to take the sine of 12° to get the ratio of height to length. sin(12) = 0.207911690818

Multiply this by 5.3: 0.207911690818*5.3 = 1.1019319613354.

The upper end of the ramp is 1.1019319613354​ meters higher than the lower end.

Of course  this will not give the correct max and mins. It just gives the correct basic shape and the correct zeros.

My teacher asked this question, I apologize. The base of the triangular prism is going to be a rectangle.

(two to the power of three) to the power of three   =   512

two to the power of (three to the power of three)  = 134,217,728

Yes that is correct :)

 ∞ unlimited

What is the shape of the cross section of the triangular prism in each statement?

Your question does not state which side it is calling the base! Therefore there can be no definitive answers!

Whoever wrote this multiple choice question should be given a stern talking to. LOL

You need to specify whether you are calling the base a triangle or a rectangle.

Then you can answer these questions yourself.

If you post your answers someone will tell you if they are right. (I will if I see your post)

1. A triangular prism is sliced so the cross section is parallel to the base.

Options: circle, triangle, trapezoid, or rectangle 

2. A triangular prism is sliced so the cross section is perpendicular to the base.

Options: circle, triangle, trapezoid, or rectangle

Here are some pictures of some triangular prisms

2^3^3 = 512

134217728, I think, I'm not 100% sure but that is what i think

NVM

I got it

x = -3 is a zero of multiplicity 2, x = 0 is a zero of multiplicity 1 and x = 2 is a zero of multiplicity 2.

P(x) = -x(x + 3)2(x - 2)2 : polynomial with real zeros hence with lowest degree.

It looks like each number is 2 times the previous number.

5, 10, 20, 40, 80, 160

just type in 

5^10

or use the   x^y   button on the calculator

5^10 = 9765625

YEAH!

Hectiar is SUPER DUPER smart!See is profile's answers and you'll be BUSTED!

Run.

No playing tricks!

I am okay!How are you

#I only want the guest who posted this to reply.

Thanks, hectictar.....!!!!!

Also...since they gave us the points    (-1, 0)    and    (5, 0)

These are the roots

So we can say

y = a(x + 1)(x - 5)

And plug in the point (0,5) to find a.

5 = a(0 + 1)(0 - 5)

5 = a(-5)

-1 = a

So....

y = -(x + 1)(x - 5)

y = -(x² - 4x - 5)

y = -x² + 4x + 5

A parabola   contains the points (-1,0) , (0,5) , and (5,0) . Find the value 100a+10b+c .

It's obvious that  c  =  5

So

a(-1)^2  + b(-1)  + 5   =  0   →    a -  b  + 5  =  0  →   a - b   =  -5  →  a + 5  =  b   (1)

And

a(5)^2  + b(5)  +  5    =   0    →   25a + 5b  =  -5   →   5a  + b  =  -1     (2)

Sub  (1)  into (2)

5a + (a + 5)  =  -1

6a + 5  = -1      subtract  5 from both sides      

6a  =  -6

a  =  -1          and      a +  5  =  b  ....so......   -1 + 5  =  b   = 4

So  our function  is

y =  -1x^2  + 4x  +  5

So

100a  +  10b +  c  =

100 (-1)  + 10 (4)  + 5  =

-100 +  40  + 5   =

-100 +  45  =

-55

23x-3xy-9

The bucket must be rotated an angle of 180º   

23x - 7x + 4x   =

16x  + 4x   =  

20x

True....!!!!

I thought I was immune.....however....perhaps I need a booster.....