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Since we are only concerned about the first 7 students....ignore the other 5

7 P 7 = 5040 ways

Thank you!!!

Lol! Thx

12!= 12*11*10*9*8*7*6*5*4*3*2*1= 479001600 ways?

I think that is the answer but I am not sure...(srry if it's wrong)

Thank you so much! That makes way more sence now! Thank you!

We can make a variable a to be his age.

36+a = 2.5a
36 = 1.5a
24= a

proof: 2.5*24 = 60 = 24+36

Does that help?

What do you need to know?

The volume of the cylinder less the volume of the prism =

    pi r^2 h  -  (4 x 4 x 6)    yd³

   pi (10²)(6)   - 96   yd³

3^(14^159) mod 10^10 =.........9058119681 - The last digit is 1

thank you!

i mean 7 / 25 sorry

A father is four times the age of his son who is x years old. And in 30 years the son will be half the age of his father. How old is the father?

Hello Guest!

\( x+30= \frac{1}{2}(4x+30)\\ x+30=2x+15\\ x=30-15\)

\(x=15\)

 \(The\ father\ is\ 4\times 15\ years=\ 60\ years\ old.\)

  !

Let's assign variables to each side length of the prism. Let's call them \(a\), \(b\), and \(c\).

We know the area of three of the faces, so let's write equations for that. 

\(ab = 48\)

\(ac = 49\)

\(bc = 50\)

Now, let's multiply all our equations together. We get

\(a^2b^2c^c = 117600\).

Since we want to find the volume of the prism, we have to find \(abc\), so let's square root both sides of our equation.

\(abc=140\sqrt6\)

We want to round to the nearest whole number, so our answer is \(\boxed{343}\).

If it took the train 3 seconds to disappear into the tunnel travelling at 100 km/h, that means it travelled its length in 3 seconds. So, its length is simply: its speed x time it disappeared into the tunnel: Or: 100 km/h * 3/3600 =0.083333..... =1 / 12 km - Length of the train.

Solve for t:
6^(3 t - 1) = 36^(t - 3)

Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):
log(6) (3 t - 1) = log(36) (t - 3)

Expand out terms of the left hand side:
3 log(6) t - log(6) = log(36) (t - 3)

Expand out terms of the right hand side:
3 log(6) t - log(6) = log(36) t - 3 log(36)

Subtract t log(36) - log(6) from both sides:
(3 log(6) - log(36)) t = log(6) - 3 log(36)

Divide both sides by 3 log(6) - log(36):

t = (log(6) - 3 log(36))/(3 log(6) - log(36)) = - 5

Don't need any more help, time for the test is finished already

Please, not again !

I think so. That is the entire question for me. BTW its multiple-choice, so the answers are 15,12,20. then 25,15,20. 20,15,12. and 15,20,25

three pieces of wood?

After week 5, the record is 2 wins and 13 losses.

After week 6, the record is 4 wins and 14 losses.

After week 7, the record is 6 wins and 15 losses.

If we keep going with this pattern, then after 37 weeks, there will be 66 wins and 44 losses, so the percentage win is 66/(66 + 44) = 60%.

So the answer is 37.

wow thank you!

l x w x h =  v

1.1 l  x 1.1 w  x 1.1 h  =  1.1³  l x w x h  = 1.1³  v

(1.1³  - 1)/1  x 100%  = ~~ 33 %