3x *15
possibly idk why im on this site XD
140 pages
1/3 of 300 is 100pages
20% of 200 (remaining pages) is 40
100 + 40 = 140
Answer:
Add the exponents
Step-by-step explanation:
Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers.
EX:
x multiplied by x^5=x^6
Answer:
648
Step-by-step explanation:
Running this in Python, with the code as follows,
import math
cur_numbers = [0] * 3
num = 0
for i in range(100, 1000):
cur_numbers[2] = i % 10
i = math.floor(i/10)
cur_numbers[1] = i % 10
i = math.floor(i/10)
cur_numbers[0] = i % 10
if(len(set(cur_numbers)) == 3):
num += 1
print(cur_numbers)
print(num), we get 648 as our answer.
Another way to solve this is as follows:
There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have
9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648
Dy/dx = (dy/dt) / (dx/dt)
dy/dt = 2bt
dx/dt = 3at^2
therefore dy/dx = 2bt/3at^2
dy/dx = 2b/3at
