Answer:
Choice D). 
is correct.
Step-by-step explanation:
Given function graph is sinusoidal so let's compare with formula 
We know that amplitude is the height from the center line to the peak (or to the trough). From graph we can see that height from the center line to the peak is 20
So amplitude A=20
In that formula, period is given by 
From graph we see that period is 
So both must be equal
cross multiplying them gives
B=4
Clearly there is no shift so C and D are 0
Now plug these values into formula
Hence choice D is correct.
Answer:
13,8%
Step-by-step explanation:
There are six employees and six cheks, so there are 36 (6x6) possible combinations so if we need to measure the probability that five of them receive the exact check is only one for each one of them over the 36 possibilities, so 1/36 for one plus 1/36 the second and so on. 5/36 = 13,8%.
Answer:
D. 
Step-by-step explanation:
We are asked to find the GCF of 
.
Since we know that GCF of two numbers is the greatest number that is a factor of both of them.
First of all we will GCF of 44 and 121.
Factors of 44 are: 1, 2, 4, 11, 22, 44.
Factors of 121 are: 1, 11, 11, 121.
We can see that greatest common factor of 44 and 121 is 11.
Now let us find GCF of 
.
Factors of 
are: 
Factors of 
are: 
We can see that greatest common factor of is 
.
Now let us find GCF of 
.
Factors of 
are: 
Factors of 
are:
We can see that greatest common factor of is 
.
Upon combining our all GCFs we will get,
Therefore, GCF of is and option D is the correct choice.
Answer:
$42.88
Step-by-step explanation:
Let's create a proportion using the following setup:
cost/pounds=cost/pounds
We know that it costs $20.42 for a 10 pound turkey.
$20.42/10 pounds= cost/pounds
We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.
$20.42/ 10 pounds= $x/ 21 pounds
20.42/10=x/21
We want to find x, by getting x by itself.
x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.
21*(20.42/10)=(x/21)*21
21* 20.42/10=x
21*2.042=x
42.882=x
Round to the nearest cent, or hundredth.
42.88=x
x= $42.88
A 21 pound turkey costs $42.88
For this case we have:
Polynomial 1: 
Polynomial 2: 
Sorting the polynomials:
Polynomial 1: 
Polynomial 2:
Adding term to term (similar) we have:
Answer:
