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.
Answer:
Step-by-step explanation:
How to find x²
Answer:
-35/40, -3/8, 81, 81.125
Step-by-step explanation:
(a) Allow me to guide you on this one. Sketch a cone shape. At the circular base of the cone, sketch a straight line across through the middle which will be your diameter(most preferably where the slant height meet the circular base). Label it 24 m. From the apex of the cone, drop a straight line which is perpendicular to the diameter meeting it in the middle. Label that line 16 m. Label the line slanting from the top to the bottom x.
(b) The slant height of the roof is 20 m.
x^{2} =12^{2} + 16^{2} =144 + 256
x^{2} =400
x=
√400
x=20m
Answer:
P = 0.9893
Step-by-step explanation:
The mean weight of the babies born is 4088 and a variance of 55696
This is a sampling question with sample size, n = 128
To find the probability that the mean weight 4088 is greater than 4132
Therefore, probability is given as
P = 4088/4132
P = 0.9893
