Answer:
12
Step-by-step explanation:
There are 4 different digits to choose from. Since we want 2-digit number, we will see what digits can we put in place of 1st digit and what digit can we place in place of 2nd digit.
Hence, <u><em>how many digits (from 1,5,6 and 8) can be placed in the 1st digit of the number we want?</em></u>
Any one of the four digits (1,5,6, or 8).
Now, <em><u>How many digits (from 1,5,6 and 8) can be placed as the 2nd digit of the number we want?</u></em>
Any one of the THREE digits (since repetition is not allowed, we disregard the initial digit).
Thus the number of two-digit positive integers is 4 * 3 = 12
Answer:
Step-by-step explanation:
To find the volume of this solid, multiply the base area by the height:
V = (25 cm²)(4 cm) = 100 cm³
Answers:

========================================================
Explanation:

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

and so on. This process may take a while to reach 
There's a shortcut. The nth term of any arithmetic sequence is

We plug in
and simplify

Then we can plug in various positive whole numbers for n to find the corresponding
value. For example, plug in n = 2

which matches with the second term we found earlier. And,

---------------------
The notation
refers to the sum of the first ten terms 
We could use either the long way or the shortcut above to find all
through
. Then add those values up. Or we can take this shortcut below.

The sum of the first ten terms is -85
-----------------------
As a check for
, here are the first ten terms:
- t1 = 5
- t2 = 2
- t3 = -1
- t4 = -4
- t5 = -7
- t6 = -10
- t7 = -13
- t8 = -16
- t9 = -19
- t10 = -22
Then adding said terms gets us...
5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85
This confirms that
is correct.
Answer:
x = - 33
Step-by-step explanation:
Given
(x + 6) = - 18
Multiply both sides by 3 to clear the fraction
2(x + 6) = - 54 ( divide both sides by 2 )
x + 6 = - 27 ( subtract 6 from both sides )
x = - 33
Answer:
t ≤ 
Step-by-step explanation:
t−3−3t≥3t+6−3t
t−3≥6
-
−3+3≥6+3
t≥9
(
t) ≥
(9)
t ≤ 