Answer:
Option (E) 648
Step-by-step explanation:
the 3 digit number can be represented by the blanks as " _ _ _ "
Now,
we have 10 choices ( i.e 0,1,2,3,4,5,6,7,8,9) available for each place in the blank if no condition is applied.
For the hundreds digit, using the conditions given in the question, we have 8 choices left
as 1 and 0 cannot be included in the hundreds place.
for the tens place
we will have 9 choices left out of 10 ( as 1 choice is less because we cannot have same number as on the hundred place )
similarly, for the ones place we have 9 choices left out of 10 ( as 1 choice is less because we cannot have same number as on the tens place )
Therefore,
Total possibilities = 8 × 9 × 9 = 648
Hence,
Option (E) 648
have an arithmetic sequence here....to find the common difference, subtract the first term from the second term. 13 - 3 = 10...so basically, ur adding 10 to each number to get to the next number.
before we find s5, we r going to find a5...because we need a5 to use in the sum formula.....a5 is the fifth term, and it is 43
sn = (n (a1 + a5) / 2
s5 = (5 (3 + 43) / 2
s5 = (5 (46)) / 2
s5 = 230/2
s5 = 115 <===
or, for this particular problem, s5 is the sum of the first 5 terms.
3 + 13 + 23 + 33 + 43 = 115.....u can do it this way for s5...but if u were asked to find s20, I suggest using the formula.
Answer:
y = 3x -1
Step-by-step explanation:
When x goes up 2 units from 5 to 7, y goes up 6 units, from 14 to 20. That's 3 times as many units as the change in x.
When x goes up 4 units from 7 to 11, you goes up 12 units, from 30 to 32. That's 3 times as many units as the change in x.
So, the slope of the function is constant at 3. If y were 3x exactly, the output numbers would be 15, 21, 33, each of which is 1 higher than the actual output. Hence the output must be one less than 3x, or ...
y = 3x -1
Answer:
$10.44
Step-by-step explanation:
Answer:
14
Step-by-step explanation: