Answer: 18
<u>Step-by-step explanation:</u>
3² * 3ⁿ = 3²⁰
3⁽²⁺ⁿ⁾ = 3²⁰
2 + n = 20
<u> -2 </u> <u> -2</u>
n = 18
<h3>Answer:</h3>
y = 28
<h3>Explanation:</h3>
The base angles of the isosceles triangle are congruent, so the sum of angles is ...
34° + 34° + 4y° = 180°
... 4y = 180 -68 . . . . . divide by °, subtract 68
... y = 112/4 = 28 . . . . divide by the coefficient of y
The value for y is 28.
_____
You have not asked about x in either figure.
<em>First figure</em>
Since the angles are congruent, the sides are congruent. Then ...
... 6x -3 = 5x
... x = 3 . . . . . . add 3-5x
<em>Second figure</em>
The base angles of the isosceles triangle are congruent, so
... 34° = (x -5)°
... 34+5 = x = 39 . . . . . . . divide by °, add 5.
Each friend would get 1/6 if the total amount of money they made that day.
<em>P.S. I'm sorry that I'm answering this late...</em>
Answer:
The conclusion is that the researcher was correct
Step-by-step explanation:
From the question we are told that
The sample size is 
The sample mean is 
The standard deviation is 
The significance level is 
The Null Hypothesis is 
The Alternative Hypothesis is 
The test statistic is mathematically represented as

Substituting values


Now the critical value for
is

This obtained from the critical value table
So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected
The conclusion is that the researcher was correct
Answer: 
Step-by-step explanation:
1. To solve this problem substitute the values of
and
into the function
and prove for the value
.
2. When
,
and
; this means that the graph of the function should cut in the axis
, if this does not happen, the values of
and
are not the right ones.
3. Then, we conclude that the correct option is the Option A:



4. You can see that the function cut the y-axis at -3.