Answer:
56
Step-by-step explanation:
solve expression using pemdas
(shown in image attached)
Given a series, the ratio test implies finding the following limit:
If r<1 then the series converges, if r>1 the series diverges and if r=1 the test is inconclusive and we can't assure if the series converges or diverges. So let's see the terms in this limit:
Then the limit is:
We can simplify the expressions inside the absolute value:
Since none of the terms inside the absolute value can be negative we can write this with out it:
Now let's re-writte n/(n+1):
Then the limit we have to find is:
Note that the limit of 1/n when n tends to infinite is 0 so we get:
So from the test ratio r=0.4 and the series converges. Then the answer is the second option.
Hi! Hope this helps, and if it does, please mark brainliest!
Answer:
y = 43 and x = 90
Step-by-step explanation:
We know that a triangle is 180 degrees (each side equals 180 since they are their own triangles) We will focus on the left triangle. Since x is a right angle, it is 90 degrees. Since there is a slash across the two sides of the main triangle, that means both sides are equal. This means that the bottom left angle, the one above b, is equal to 47 degrees. That means we know two angles out of 3. For the sake of simplicity, the bottom left angle, the one above b, is point z. So point z is 47, and x is 90, added they are 137. Subtract that from 180, you will get 43. 43 is y.
To simplify the given radical form, we must recall some properties of exponents as shown below.
1. 1/x⁻ⁿ = xⁿ
2. x¹/² = √x
Now, going back to 1/x⁻³/⁶, we have
1/x⁻³/⁶ = x³/⁶
x³/⁶ = x¹/²
x¹/² = √x
Using the properties provided, we have a simplified form of √x.
<span>Answer: √x</span>
The answers are
a) the domain is all real numbers
d) the input to an exponential function is the exponent
e) the base represents the multiplicative rate of change
hope this helps :)
