Answer:
The hypotenuse is square root of 65
Step-by-step explanation:
a^2 + b^2 = c^2
legs of the right triangle are a and b. Just substitute 4 for a and 7 for b and solve.
4^2+7^2=16+49=65
c^2=65
Find the square root of both sides to get
c=the square root of 65
(C,D) is 5 units
(E,F) is 4 units
(A,B) is 6units
(G,H) is 3 units
1. There
are 10, 000 combinations, you have 10 choices for the four digit and there are
10 x 10 x 10 x 10 which is 4-digit combination from 1-9. This is called combinations;
the calculation comes out to 10^4.
Answer:
3/5
Step-by-step explanation:
1/10+1/20=3/5
Answer:
Option B.
Step-by-step explanation:
Option A.
f(x) = 
Derivative of the given function,
f'(x) = 
= ![(0.5)^x[\text{ln}(0.5)]](https://tex.z-dn.net/?f=%280.5%29%5Ex%5B%5Ctext%7Bln%7D%280.5%29%5D)
= 
Since derivative of the function is negative, the given function is decreasing.
Option B. f(x) = 
f'(x) = 
= ![(5)^x[\text{ln}(5)]](https://tex.z-dn.net/?f=%285%29%5Ex%5B%5Ctext%7Bln%7D%285%29%5D)
= 
Since derivative is positive, given function is increasing.
Option C. f(x) = 
f'(x) = 
= 
= 
Since derivative is negative, given function is decreasing.
Option D. f(x) = 
f'(x) = ![-15^{-x}[\text{ln}(15)]](https://tex.z-dn.net/?f=-15%5E%7B-x%7D%5B%5Ctext%7Bln%7D%2815%29%5D)
= 
Since derivative is negative, given function is decreasing.
Option (B) is the answer.