9514 1404 393
Answer:
20 2/3 miles
Step-by-step explanation:
Altogether Jamal hiked 1 + 1 9/11 times the length of the first trail:
(2 9/11)(7 1/3) = (31/11)(22/3) = 62/3 = 20 2/3
Jamal hiked 20 2/3 miles.
If order mattered, then there would be 6*5*4*3 = 30*12 = 360 different ways to form the committee. However, no single member outranks the other. Each member has equal ranking. So order does not matter.
Since order does not matter, we must consider all of the ways to arrange a single group of 4 people. That is 4! = 4*3*2*1 = 24 ways. We overcount by a factor of 24 when order doesn't matter which is why we divide the previous result (360) by 24 to get 360/24 = 15
Answer: 15
Note: you can use the combination formula n C r = (n!)/(r!*(n-r)!) with n = 6 and r = 4 to get the same answer
Answer:
3
Step-by-step explanation:
to find side length of squares take square root of areas
first square side length: 9
second square side length: 6
difference between 9 and 6 is subtraction, 9-6=3
Answer:
The third option is correct



Step-by-step explanation:
Exponential function
The exponential function is usually expressed as

If both C and k are positive, then f is increasing in all of its domain. Same happens if both are negative. They all have one point in common: (0,C)
The graph shows three functions, all increasing and in all of them (given the options for the answer) have C=1 and k=1, so the equation for each one is

When x=1, f(1)=r lets us know the value of r
From the graph we can see that the value of r is the greatest for h(x). The next value of r is that one for g(x). Finally, f(x) has the smallest r. That means that

We only need to check the options to order h,g,f from greatest to lowest. Since (10/3)=3.3, (9/8)=1.12, (7/4)=1.75 then
h(x) must have 
g(x) must have 
f(x) must have 
So the third option is correct


