Answer:
2^170
Step-by-step explanation:
(16 x 4^3 x 8^8)^ 5
- start by converting it all to a common base
(2^4 x 2^3 x 2^24)^5
- calculate the product, by adding all the powers
(2^34)^5
= 2^170
Answer:
-3
Step-by-step explanation:
1. rearrange so it's in the formula y=mx+C
2. y=-3x+5
y=mx+C
M=gradient
-3=m
gradient= -3
I'm guessing the function is

which, split into partial fractions, is equivalent to

Recall that for
we have

With some rearranging, we find

valid for
, or
, and

valid for
, or
.
So we have



Taken together, the power series for
can only converge for
, or
.
Answer:

Explanation:
The order of the letters naming the triangles is relevant. When it is said that <em>triangle ABC is similar to triangle MOP</em>, means that:
Therefore:
- ∡C = 102º (by substitution)
Now, you have two angles of triangle ABC and can find the third one:
- ∡B = 180º - 45º - 102º = 33º ← answer