Answer:
A) between 7:40 and 7:45
Step-by-step explanation:
Given,
The maximum time taken by her to walk to school = 15 minutes,
Since, the school starts on 8:00 AM,
Also, 15 minutes before 8:00 AM = 7:45 AM,
Thus, the maximum time at which she has to leave home = 7: 45 AM,
Hence, the reasonable estimate of the time she should leave home to get to school by 8:00 is between 7:40 and 7:45.
OPTION A would be correct.
Answer:
YZ = 18.4 in
Step-by-step explanation:
The midsegment YZ is half the length of the third side VX , then
YZ =
× 36.4 = 18.2
<h2><u>79 degrees</u> is the correct answer!</h2><h3></h3><h3>Line PU is <u>supplementary.</u></h3><h3>30 + 34 + 37 = 101</h3><h3>180 - 101 = <u>79</u></h3><h3><u /></h3><h3>I want to be marked "brainless."</h3><h3>I want to be a zombie.</h3><h3>lm-ao</h3><h3 /><h3><em>Please let me know if I am wrong.</em></h3>
Answer:

Step-by-step explanation:
Given

Required
Represent the diagonal as a function
Using Pythagoras theorem, the diagonal is:

Substitute x for Side


Take the square root of both sides

Split



Express as a function.

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.