Answer:
1/9
Step-by-step explanation:
There are three places and three people.
Times them together for the total outcomes:
1/3 x 1/3= 1/9
A taco costs $5
This is because there was no difference in the cost except for $5. The only item added was one taco. Drinks cost $2 each.
To approximate the measure of angle D, we will need to use the inverse cosine function on our calculator. All calculators vary, so I am not sure where you would find the button for it on your calculator. However, I know many calculators have it so you click the second button, then cos.
cos(D) = 0.33
D = cos^-1 (0.33)
D = 70.7 degrees
Hope this helps!! :)
Answer:
We have the functions:
f(x) = IxI + 1
g(x) = 1/x^3.
Now, we know that the composite functions do not permute.
How we can prove this?
First, two composite functions are commutative if:
f(g(x)) = g(f(x))
Well, you could use brute force (just replace the values and see if the composite functions are commutative or not)
But i will use a more elegant way.
We can notice two things:
g(x) has a discontinuity at x = 0.
so:
f(g(x)) = I 1/x^3 I + 1
still has a discontinuty at x = 0, but:
g(f(x)) = 1/( IxI + 1)^3
here the denominator is IxI + 1, is never equal to zero.
So now we do not have a discontinuity.
Then the composite functions can not be commutative.
Answer:
1.5 mph
Step-by-step explanation:
The speed in the still water = 6.5 mph.
The speed of the current = x mph.
1. Two friends traveled with current for 3 hours. The speed with the current is 6.5 + x mph, so they traveled 
miles.
2. Two friends traveled against the current for 4 hours and 48 minutes that is 
hours. The speed against the current is 6.5 - x mph, so they traveled 
miles.
They traveled the same distance with the current and against the current, hence,
Solve this equation:
