Answer:
Check the explanation
Step-by-step explanation:
Since each and every one of the 4 hallways is equally likely then
Now, if he chooses H1 he escapes after 12 minutes then
If he chooses H2 then he wastes 10 minutes and then he is again in the same starting
position so he expects to escape in E(T) minutes, then
Analogously, if he chooses H3 then he wastes 40 minutes and then he is again in the same starting
position so he expects to escape in E(T) minutes, then
Therefore
So we have
Therefore he is expected to escape in 72 minutes
Answer:
x=3
Explanation:
Let's write an equation for the area of this figure.
This figure can be divided into 2 rectangles, a vertical and horizontal rectangle.
Area of rectangle= length× breadth
Area of vertical rectangle= 6x
Length of horizontal rectangle= (7 -x) cm
Area of horizontal rectangle= x(7-x)
Since total area= 30 cm^2,
6x+ x(7-x)= 30
6x +7x -x^2= 30 (expand)
-x^2 +13x-30= 0 (bring all terms to one side)
x^2 -13x +30= 0 (divide by -1)
(x -10)(x -3)= 0 (factorise)
x -10= 0 or x -3= 0
x= 10 or x= 3
(reject)
We reject x=10 since from the diagram, x cm is less than 6cm.
21−=2(2−)=2cos(−1)+2 sin(−1)
−1+2=−1(2)=−1(cos2+sin2)=cos2+ sin2
Is the above the correct way to write 21− and −1+2 in the form +? I wasn't sure if I could change Euler's formula to =cos()+sin(), where is a constant.
complex-numbers
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edited Mar 6 '17 at 4:38
Richard Ambler
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asked Mar 6 '17 at 3:34
14wml
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1 Answer
1
No. It is not true that =cos()+sin(). Notice that
1=1≠cos()+sin(),
for example consider this at =0.
As a hint for figuring this out, notice that
+=ln(+)
then recall your rules for logarithms to get this to the form (+)ln().
Subtract the exponents when the base number is the same.
2 - 7 = -5
So 9^-5 or 1/9^5.
Alternate interior: middle right (the numbers 1 and 2 are in between the two lines, and are on opposite sides of the slanted 'vertical' line
Alternate exterior: First one ( as stated for alternate, the 2 numbers are on opposite sides. both numbers have to be outside the 2 lines
Corresponding: bottom, and middle left ( these are on the same side ( all i know how to explain it as) )
None of these: top right ( literally, none of these)
hope this helps
