Step-by-step explanation:
you would do 3 ÷ .99 and then when you get the answer from that you would multiply it by 5.
Answer:
0
Step-by-step explanation:
If ∑aₙ converges, then lim(n→∞)aₙ = 0.
Using ratio test, we can determine if the series converges:
If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.
If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.
lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) / (100ⁿ / n!)|
lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) × (n! / 100ⁿ)|
lim(n→∞) |(100 / (n+1)|
0 < 1
The series converges. Therefore, lim(n→∞)aₙ = 0.
Answer:
The correct answer is Dale is absolutely wrong.
Step-by-step explanation:
When the cake was complete, it had 360°. When the cake is divided into four halves each half now has 90° each.
Three person including Dale is about to eat the one fourth of the cake, divided among them equally.
Thus each friend gets
° = 30° of cake each.
But Dale claims that each piece of cake has an angle measure if 45°, which is a contradiction as each piece is supposed to to be equal.
Thus Dale is WRONG.
The expression that is equivalent to √1,120y is: 4√70y.
<h3>What are Equivalent Expressions?</h3>
Expressions are said to be equivalent when the value of one is the same as the value of the other when evaluated or simplified.
Given the expression, √1,120y, we can simplify as shown below:
√(16 × 70 × y)
= 4√70y
Thus, 4√70y is equivalent to √1,120y .
Learn more about equivalent expressions on:
brainly.com/question/22365614
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Answer:

Step-by-step explanation:
Because we have to rewrite this equation in the format
, we have to divide, or factor to find basic terms,
Expanding the value of k(x), we have
. We see that each term can be divisible by 4, so we can factor out 4 to get

Now, we have two different terms getting multiplied. We can separate the two to get 
Because we are multiplying 4 by the other term, this is represented by 
Now, we can just set f(x) and g(x) to these functions:

Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.
Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).