The difference between the cups of sugar is 1/6, hence you have enough sugar.
<h3>Difference and sum of fractions</h3>
Fractions are written as a ratio of two integers, For instance, a/b is a fraction where a and b are integers.
According to the question, a recipe calls for 2 1/2 cups of sugar. If have 2 2/3 cups of sugar;
Difference of cups of sugar = 2 2/3 - 2 1/2
Convert to improper fraction
Difference = 8/3 - 5/2
Difference = 16-15/6
Difference = 1/6
Since the difference between the cups of sugar is 1/6, hence you have enough sugar.
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Answer:
−7k^4−11k^2+6
Step-by-step explanation:
−4k^4+14+3k^2−3k^4−14k^2−8
(−4k^4+−3k^4)+(3k^2+−14k^2)+(14+−8)
−7k^4−11k^2+6
...
Answer:
B
Step-by-step explanation:
The differences in the terms of f(x) are + 3, + 5, + 7
Since the differences are not constant the relationship is not linear
Note the differences in the differences are + 2, + 2,
The second differences are constant indicating a quadratic relationship
Note the relationship between x and f(x)
x = 1 → 1² = 1 ← require to add 5, that is 1 + 5 = 6 ← value of f(x)
x = 2 → 2² = 4 ← require to add 5, that is 4 + 5 = 9 ← value of f(x)
x = 3 → 3² = 9 ← require to add 5, that is 9 + 5 = 14 ← value of f(x)
x = 4 → 4² = 16 ← require to add 5, that is 16 + 5 = 21 ← value of f(x)
Thus f(x) = x² + 5 → B
Answer:
5/12
Step-by-step explanation:
You want the tangent of angle F in right triangle FGH with sides FG=24, GH=10, and FH=26.
<h3>Tangent</h3>
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and the sides of a right triangle. The TOA part of this tells you ...
Tangent = Opposite/Adjacent
<h3>Application</h3>
The side opposite angle F is GH = 10.
The side adjacent to angle F is FG = 24.
Then the tangent is ...
tan(F) = GH/FG = 10/24
tan(F) = 5/12 . . . . . reduced to lowest terms