6 x 9 = 54
He has a total of 54 pages to grade.
54 - 12 = 42 pages
He still has to grade 42 pages.
Hope I helped!!
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:
Decimal: 0.23
Fraction: 23/100
Percent: 23%
Step-by-step explanation:
In this case, one whole is 100. This is because there are 100 little squares in the one big square.
The amount of shaded squares is 23.
This can be represented as the fraction 23/100. 23/100 is the same as 23 being divided by 100. 23 divided by 100 is 0.23 (our decimal). To find a percent, move the decimal point to the right 2 times. Our percent is 23%.
Answer:
10.5
Step-by-step explanation:
ΔXYZ is similar to ΔABC. So the corresponding sides are proportional:
XY / AB = XZ / AC = YZ / BC
We want to find length AB, so we can either use the first proportion:
7 / k = 3 / 4.5
Or we can use the second proportion:
7 / k = 6 / 9
Either way, we'll get the same answer. I'll use the second proportion. Cross multiplying:
6k = 63
Dividing:
k = 10.5