Unit analysis is a method used to convert from one unit of measure to another. In a unit analysis problem, we place measurements into fraction form, build a product of fractions, and eliminate unwanted units. The steps for performing a unit analysis are as follows: Determine what conversion facts are needed
Clarissa jumped 2 3/8 below the qualifying height, while Anika jumped 1 5/6 above.
To solve, note that Clarissa's is - 2 3/8, while Anika's is 1 5/6, and that Anika is more
Subtract
1 5/6 - (-2 3/8)
Change each into improper fraction
1 5/6 = 6/6 + 5/6 = 11/6
2 3/8 = 16/8 + 3/8 = 19/8
11/6 - (-19/8)
Note that two negatives = one positive
11/6 + 19/8
Find common denominators. In this case, use 24
11/6(4/4) = 44/24
19/8(3/3) = 57/24
Combine like terms
44/24 + 57/24 = 101/24
Simplify
101/24 = 4 5/24
4 5/24 inches is how much higher Anika's jump was compared to Clarissa's.
hope this helps
Answer:
A) 40 + d
B) 45 days
Step-by-step explanation:
A)
total cost = (cost of the air conditioner itself) + (money charged per day)*(days)
cost of air conditioner itself = $40
money charged per day = $1
days = d
40 + 1*d
= 40 + d
B)
total cost = 40 + d
total cost = $85
85 = 40 + d
45 = d
Time used the air conditioner for 45 days.
Answer: x < 12
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Answer:
converges
Step-by-step explanation:
the individual fraction terms go against 0 with larger and larger n.
and therefore the sum converges.
the numerator of the fractions stays constant (4) but the denominator (bottom) of the fraction increases more and more with investing n (it does not matter that it uses roots, compared to the constant 4 they too grow immensely large with large n).
the limit of a/infinity is defined as 0.