Hello! What type of work is that so I can specifically know! :)
27.5 / 3.5 = 7.86; The average yearly snowfall was 7.86 inches.
Let,
f(x) = -2x+34
g(x) = (-x/3) - 10
h(x) = -|3x|
k(x) = (x-2)^2
This is a trial and error type of problem (aka "guess and check"). There are 24 combinations to try out for each problem, so it might take a while. It turns out that
g(h(k(f(15)))) = -6
f(k(g(h(8)))) = 2
So the order for part A should be: f, k, h, g
The order for part B should be: h, g, k f
note how I'm working from the right and moving left (working inside and moving out).
Here's proof of both claims
-----------------------------------------
Proof of Claim 1:
f(x) = -2x+34
f(15) = -2(15)+34
f(15) = 4
-----------------
k(x) = (x-2)^2
k(f(15)) = (f(15)-2)^2
k(f(15)) = (4-2)^2
k(f(15)) = 4
-----------------
h(x) = -|3x|
h(k(f(15))) = -|3*k(f(15))|
h(k(f(15))) = -|3*4|
h(k(f(15))) = -12
-----------------
g(x) = (-x/3) - 10
g(h(k(f(15))) ) = (-h(k(f(15))) /3) - 10
g(h(k(f(15))) ) = (-(-12) /3) - 10
g(h(k(f(15))) ) = -6
-----------------------------------------
Proof of Claim 2:
h(x) = -|3x|
h(8) = -|3*8|
h(8) = -24
---------------
g(x) = (-x/3) - 10
g(h(8)) = (-h(8)/3) - 10
g(h(8)) = (-(-24)/3) - 10
g(h(8)) = -2
---------------
k(x) = (x-2)^2
k(g(h(8))) = (g(h(8))-2)^2
k(g(h(8))) = (-2-2)^2
k(g(h(8))) = 16
---------------
f(x) = -2x+34
f(k(g(h(8))) ) = -2*(k(g(h(8))) )+34
f(k(g(h(8))) ) = -2*(16)+34
f(k(g(h(8))) ) = 2
Answer:73. 0
Step-by-step explanation:
Radius=8.02
Tita =130
Area of sector = tita/360 x πr^2
130/360 x 22/7 x (8.02) ^2
130/360 x 22/7 x64. 3204
= 72.99
To the nearest tenth = 73.0
Answer:
Probability that all winner are men = 0.0035 (Approx.)
Step-by-step explanation:
Given:
Number of women = 50
Number of men = 26
Total number winner = 5
Find:
Probability that all winner are men
Computation:
Total competitor = 50 + 26 = 76
Probability that all winner are men = 26/76 x 25/75 x 24/74 x 23/73 x 22/72
Probability that all winner are men = 7,893,600 / 2,216,980,800
Probability that all winner are men = 0.0035 (Approx.)
