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I never tried to be rude to Geno. I never said that I would take all the credit. You could have said that I forgot to thank Geno.

12 m x 60 m = 720m^2

720 m²   x   1ft /.3048m  x  1ft / .3048 m   = ~ 7750 ft²

7750 ft²  / 200ft²/ gal =......... gal

pi r² h            r = 6 in      h = 12 in

Hello there! I had the same question and here are two answers, now I am not that good at explaning it but here we go.

1. Answer- 12

My reasoning- because if you draw a digram might help.

2. Answer 289/30

My reasoning- I give up on how to explane this one... I am srry if my explnations arnt good but I know that the answers are ok I think... 

Hope this helps! 

Thank you!

I would treat that calculator with caution.

You need to understand significant figures.

Say I said. This piece of timber is 2.5 metres long and I want that expressed to 4 significant figures.

I put it in your Sig fig calc and I get  2.500 m

This is incorrect.  2.5 has 2 significant figures, it cannot be written to 4 significant figures.  The question is nonsense.

A nonsense answer is given to a nonsense question.

Try these

\(f(0)=\\ f(1)=\\ f(2)=\\ f(2\frac{1}{2})=\\ f(3)=\\ f(3\frac{1}{3})=\\ f(3\frac{2}{3})=\\ f(4)=\\ f(4\frac{1}{4})=\\ f(4\frac{2}{4})=\\ f(4\frac{3}{4})=\\ f(5)=\\ f(5\frac{1}{5})=\\ etc\)

Try some values in between.

Can you see what is happening?

Hello,

I was a math teacher. My first priority was always to teach students tricks about math.

What answers do you have for b and c first.

OR what have you done to try and solve them?

I do not want to do all the work without you demonstrating that you are learning.

could you help me with part d? 

thank you!

I have not seen a question like this before but this looks kind of like a step broken parabola to me.

As x increases so does f(x) but it happens in steps. 

part a)

If x=1 then f(1)=1 

If x=2 then f(2)=4

If x=1.99 then f(x) = floor of 1.99*1 = 1  this will be true of any x value between 1 and 2

so

for   \(1\le x<2\qquad f(x)=1\)

likewise

for  \(0\le x<1\qquad f(x)=0\)

I have not really through much further than that but that gives you a good start for your own thought process. 

Please be careful, it is tricky.  Try drawing the graph to help you.

I'm going for a walk. You can show me what you have done when I get back if you want to. I'll be happy to help more.

For your example question, you have the right answer, but the wrong reason.

10+4-2 = 12

Because you have counted 10 and 20 twice.

10000/2=5000

10000/5=2000

10000/10=1000

5000+2000-1000 = 6000

Definitely 6000    

What real value of t produces the smallest value of the quadratic t^2 -9t - 36?

Hello Guest!

\(\color{BrickRed}f(t)=t^2 -9t - 36\\ \frac{f(t)}{dt}=2t-9\\ 2t-9=0\\ 2t=9\)

\(t=4.5\)

\(V_{smallest}\ of\ (t^2 -9t - 36)\\ =4.5^2-9\cdot4.5-36\\ \)

\(V_{smallest}=-56.25\)

The smallest value of the quadratic \(t^2 -9t - 36\) is -56.25.

  !
 

I am sorry, I did not look very far in Mathway and did not realize there was cost involved.

this is the first video. See if it works now 

i think the answer is 4

5040. Since in order for it to be real, in the quadractic formula, b^2-4ac>0.

Here 225-32c>0. 225>32c. 225/32>c.

225/32>7 and <8 so the answer should be 7!.

7!=5040.

10cm square = 10 x10 = 100 cm^{2     (I think that is what you meant by 10 cm square)}

^{pi r^2 = hole area = 3.14}

^{1/2 of the paper would be   50 cm2}

^{50/3.14 =50/3.14 = 15.9235668789808917   or 16 holes}

x^2-3x+1

x^2 -3x +2.25      - 2.25 +1

(x-1.5)² -1.25              b = -1.5    c= -1.25    b+c =..........

R= 289 / 30