Answer:
<h2><u>x = 21</u></h2>
Explanation:
x =
= <u>21</u> degree will be the answer.
{The sum of angle of opposite circumscribed quadrilateral in circle is 180°}
Answer:

Step-by-step explanation:
Total flavors Sammy initially had = x
Number of flavors Sammy throw away = y
After throwing away y flavors, the number of flavors Sammy will be left with = x - y
He needs to make 10-flavor bags from these (x - y) flavors. In order words he needs to chose 10 flavors for each bag from(x - y) flavors. The order of selection is not important here, so this is a problem of combinations. Also since we have to make selections or small groups, this also indicates that we have to use combinations.
So we need to make combinations of 10 flavors from a total of (x - y) flavors. This can be represented as 
The formula for combinations is:

Using the values in this formula, we get:

Answer:
- -28y^4 - 7y^3 + 62y^2 + 5y - 30
Step-by-step explanation:
<u>Opening the parenthesis and simplifying by combining like terms:</u>
- (6 - y - 4y^2)(-5 + 7y^2) =
- 6(-5) +6(7y^2) - y(-5) -y(7y^2) -4y^2(-5) -4y^2(7y^2) =
- -30 + 42y^2 + 5y - 7y^3 +20y^2 -28y^4 =
- -28y^4 - 7y^3 + 62y^2 + 5y - 30
Answer
option D
Step-by-step explanation:
The population of interest to the research is the set of all gun ownership status (yes/no) values for all adults in the country. Or all total adults in a country including those that own a gym or not. This is the population of interest. The sample is the 2550 individuals adults surveyed in the household telephone survey.
Answer:
$13,695.98
Step-by-step explanation:
We can use the continuous compound interest formula to solve:

<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First, lets change 8% into a decimal:
8% ->
-> 0.08
Now, lets plug in the values:


The account balance after 10 years will be $13,695.98