A 1 = 57, a 2 = 61, a 3 = 65 ( arithmetic sequence )
a n = a 1 + ( n - 1 ) d
a 2 = a 1 + d
61 = 57 + d
d = 61 - 57
d = 4
a 9 = 57 + 8 * 4 = 57 + 36 = 93
Answer: Her score on the 9th assessment will be 93 points.
Answer:
the limit does not exist
Step-by-step explanation:
As x approaches π/2 from below, tan(x) approaches +∞. A x approaches π/2 from above, tan(x) approaches -∞. These two limits are not the same, so the limit is said not to exist.
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For a limit to exist, it must be the same regardless of the direction of approach.
The second answer is correct.
Answer:
1) x= -36.
2) x = 0.
Step-by-step explanation:
1) Taking the 3rd power to both sides and using the following exponent law:

we get:

So this tells us that x = -36.
2) We can distribute the power inside every term. So the left side becomes:

Now, the trick here is to remember that
, so replacing 1 with
, which then gives us:
, telling us that 3x = 0 and thus, x = 0.
Answer:
it is possible to get something rational.
Step-by-step explanation:
This can't really be explained.