Well I'm assuming that you want me to simplify the fraction 40/6. Since 40 can go into 6 multiple times, this fraction is going to be a mixed number.
40/6 in simplest form is 6 2/3. Hope I helped!
A phase shift is defined as the a<span>mount of x by which sinusoid is shifted to the left or right.
And yes, </span><span>every sine function be expressed as a phase shifted cosine function:
</span>
sin(t)=cos(90-t)
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Answer: A popcorn costs $9
Step-by-step explanation:
Let popcorn be represented by p
Let drinks be represented by d.
Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. This will be: p + 3d = 36.75
Sebastian spends a totally of $138.00 on 3 bags of popcorn and 12 drinks. This will be: 3p + 12d= 138
p + 3d = 36.75 ........... i
3p + 12d = 138 ............ ii
Multiply equation i by 3
Multiply equation ii by 1
3p + 9d = 110.25 ....... iii
3p + 12d = 138 ............ iv
Subtract equation iv from iii
-3d = -27.75
3d = 27.75
Divide both side by 3
d = 9.25
A drink cost $9.25
From equation i
p + 3d = 36.75
P + 3(9.25) = 36.75
P + 27.75 = 36.75
P= 36.75 - 27.75
P= $9
A popcorn cost $9
11^2x11^2=x^2
121+121=x^2
242=x^2
Radical 242 = radical x^2
Full solved answer is 15.56
Answer:
The expected value of the lottery is $80
Step-by-step explanation:
To get the expected value, we have to multiply each outcome by its probability
Then we proceed to add up all of these to get the expected value of the lottery
we have this as ;;
125(0.2) + 100(0.3) + 50(0.5)
= 25 + 30 + 25 = $80
