Answer:
1/5
Step-by-step explanation:
formula is y = kx
k is the constant of proportionality
when x is 5 y is 1
when x is 10 y is 2
so 1 = k * 5
so k = 1/5
1/5x+3/10=-4
1x/5+3/10=-4
1x/5+3/10=-4
x/5+3/10=-4
x=43/2
Answer:
Step-by-step explanation:
A binary string with 2n+1 number of zeros, then you can get a binary string with 2n(+1)+1 = 2n+3 number of zeros either by adding 2 zeros or 2 1's at any of the available 2n+2 positions. Way of making each of these two choices are (2n+2)22. So, basically if b2n+12n+1 is the number of binary string with 2n+1 zeros then your
b2n+32n+3 = 2 (2n+2)22 b2n+12n+1
your second case is basically the fact that if you have string of length n ending with zero than you can the string of length n+1 ending with zero by:
1. Either placing a 1 in available n places (because you can't place it at the end)
2. or by placing a zero in available n+1 places.
0 ϵ P
x ϵ P → 1x ϵ P , x1 ϵ P
x' ϵ P,x'' ϵ P → xx'x''ϵ P
Answer:
y = 0.5x + 4, or y = 1/2x + 4 (if you prefer fractions)
Step-by-step explanation:
y = mx + b (slope intercept form / standard form) ; m = 0.5 or 1/2, b = 4.
m = linear coefficient/slope(denoted by <u>a</u> in a 1 degree binomial)
b = constant coefficient / y-intercept (denoted by <u>b</u> in a 1 degree binomial)
to convert this equation into a standard form equation. You need to isolate y and leave the coefficients on the other side.
0.5x = y - 4
0.5x (+4) = y - 4 (+4)
0.5x + 4 = y
y = 0.5x + 4
The answer to this problem is 1,696 in2, because 53 x 32 is 1,696.
