9514 1404 393
Answer:
p = 3/4n +3
Step-by-step explanation:
Expressing the given equation in terms of powers of 3, we have ...
(27^(n+3))/(81^(p-1)) = 3
(3^3)^(n+3)/(3^4)^(p-1) = 3^1 . . . . as powers of 3
3(n +3) -4(p -1) = 1 . . . . . . . . . . . . log base 3 (or, equate exponents)
3n +9 -4p +4 = 1 . . . . . . . . . . . . . eliminate parentheses
3n +12 = 4p . . . . . . . . . . . . . . . . add 4p -1
p = 3/4n +3 . . . . . . . . . . divide by 4
Answer:

Step-by-step explanation:
Given that,
Length of cube = l = 3x + 2 units
<h3><u>Base Area:</u></h3>
![= l \times l\\\\= (3x+2)(3x+2)\\\\= 3x(3x+2)+2(3x+2)\\\\= 9x^2+6x+6x+4\\\\= 9x^2+12x+4 \ units^2\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%3D%20l%20%5Ctimes%20l%5C%5C%5C%5C%3D%20%283x%2B2%29%283x%2B2%29%5C%5C%5C%5C%3D%203x%283x%2B2%29%2B2%283x%2B2%29%5C%5C%5C%5C%3D%209x%5E2%2B6x%2B6x%2B4%5C%5C%5C%5C%3D%209x%5E2%2B12x%2B4%20%5C%20units%5E2%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Answer:
It equals 72
Step-by-step explanation:
24 x 24 x 24 = 72
Answer:
7 and 5
Step-by-step explanation:
7+5=12 and 7-5=2
Answer:
x
Step-by-step explanation:
We need to solve this equation by graphing. We need to find what roots will make our equation equal zero. This is the same as drawing a line

and see what points intercepts both graphs.
According to the graph above, one root are between 0 and 0.5 and the other are between 4 and 4.5.
We can find it actual value by solving it


Apply Quadratic Formula, we get

and

Which gives us approximately
x=4.27 and 0.23