Answer:
(sqrt(7))/3 or decimal 0.8819171036881968635005385845464201419034197276941500601227781530...
Step-by-step explanation:
Simplify the following:
(sqrt(14))/(sqrt(18))
Hint: | Simplify radicals.
sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):
(sqrt(14))/(3 sqrt(2))
Hint: | Multiply numerator and denominator of (sqrt(14))/(3 sqrt(2)) by sqrt(2).
Rationalize the denominator. (sqrt(14))/(3 sqrt(2)) = (sqrt(14))/(3 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(14) sqrt(2))/(3×2):
(sqrt(14) sqrt(2))/(3×2)
Hint: | Multiply 3 and 2 together.
3×2 = 6:
(sqrt(14) sqrt(2))/6
Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(14) sqrt(2).
sqrt(14) sqrt(2) = sqrt(14×2):
(sqrt(14×2))/6
Hint: | Multiply 14 and 2 together.
14×2 = 28:
(sqrt(28))/6
Hint: | Simplify radicals.
sqrt(28) = sqrt(2^2×7) = 2 sqrt(7):
(2 sqrt(7))/6
Hint: | In (2 sqrt(7))/6, divide 6 in the denominator by 2 in the numerator.
2/6 = 2/(2×3) = 1/3:
Answer: (sqrt(7))/3
Answer:
cups
Step-by-step explanation:
Incomplete question.
See attachment for line plot
Required
Total cups drank in 10 days
The number of x at the top of each dataset represent the frequency (i.e. number of cups) drank on that day.
To get the total, we simply multiply this frequency by the accompanying dataset.
So, we have:
Express fractions as improper fraction
Evaluate each product
Take LCM
Answer:
C. 7/8 days
Step-by-step explanation:
