Y=3x
It costs $3 per movie (x)
Answer:
clc%clears screen
clear all%clears history
close all%closes all files
p=250;
M=[];
for i=1:100000
re=0;
S=0;
while(S<=1)
S=S+rand;
re=re+100;
end
M(i)=re;
end
disp('Expected received money is');
mean(M)
disp('Since expcted is greater than what we pay. So, we will play')
Step-by-step explanation:
ANSWER
The graph shifts 5 units left and 3 units up.
EXPLANATION
The given functions are:

and

We want to transform f(x) so that, it coincide with the g(x).
The required transformation is

Let us see why this works.


The transformation f(x+5)+3 will shift f(x) 5 units left and 3 units up.
The third choice is correct.
Answer:
312π mm³
Step-by-step explanation:
Given:
Oblique cone height, h = 14 mm
radius of half sphere = base radius of cone, r = 6 mm
Recall the volume of 1/2 - sphere
= 1/2 x volume of sphere
= 1/2 x (4π/3) r³
= 1/2 x (4π/3) (6)³
= 144π
Also volume of an oblique cone =
=volume of a right cone
= (π/3) r²h
= (π/3) 6²(14)
=168π
Volume of composite figure = 144π + 168π = 312π mm³