Answer:
1,000 different combinations are possible
Step-by-step explanation:
Because if youre lock ckntained 3 single digit numbers it would have to be 0-9 so each digit would have 10 options so there would be 1,000 different combinations that are possible.
6.4*10=64
6.4*2=12.8*10*1/2=64
Answer:
Dimensions: 0.4 by 3.2 by 1.2
Step-by-step explanation:
I'm assuming here that we are cutting out squares out of each of the metal's corners:
Let x = the length of each cut-out square,
Each base (of the desired net square folded) is 4-2x, and 2-2x respectively,
Volume = x(4-2x)(2-2x)
= 4x^3 - 12x + 8x
Now we take the derivative:
We equate to 0 (0 for max volume), and solve using the quadratic formula:
So we approximate the side lengths to be 1.6 and 0.4 respectively. But when we plug in 1.6 for x, we get the volume as negative. Therefore x has to be 0.4.
Side lengths: 0.4, 4-2(0.4) => 3.2, 2-2(0.4) => 1.2
4 1/3
Hope this helped :)
The explanation:
3 goes into 13 4 times. So 4 is your whole number.
You have 1 number left over so that is your numerator.
Your denominator does not change.
You can not simplify any more. <span />
Answer:
Step-by-step explanation:
f(x) = 65536(b)^x
Find b by substituting a point. (1, 16384)
16384 = 65536(b)^1
b=0.25
Thus,
f(x) = 65536(1/4)^x
Plug in 6,
f(8) = 1