Answer:
0.375 litres
Step-by-step explanation:
Given that:
Total amount of lemonade held by pitcher = 3 litres
Number of people in which lemonade is to be given equally = 8
Amount of Lemonade received by each person will be:
Total amount of lemonade / number of persons
3 litres / 8
= 0.375 litres
Each person receives 0.375 litres of lemonade
⇒ x - 6 = 2x + 26
⇒ x = -32
⇒ This Equation has One Solution
So, It matches with A in Column B
2. 2 + 6x - 7 = 8 + 2x - 10 + 4x
⇒ 6x - 5 = 6x - 2
As, They are Equations of Parallel Lines. They never meet each other.
⇒ This Equation has No Solution
⇒ So, It matches with B in Column B
3. 15x + 25 = 15x + 10
As, They are Equations of Parallel Lines. They never meet each other.
⇒ This Equation has No Solution
⇒ So, It matches with B in Column B
4. 16 + 8x = 4(2x + 4)
⇒ 16 + 8x = 16 + 8x
As, Both Equations are Same. They Represent the Same Line.
⇒ This Equation has Infinite Number of Solutions
⇒ So, It matches with C in Column B
The domain (input values) of the cosine function is all negative and positive angle measures.
Let the function be f(x) = cos(x)
The domain of cos(x) is -∞ < x < ∞
The range is -1 ≤ f(x) ≤ 1
Hence, domain of cos(x) is all (+) and (-) angle measures.
Same goes with sine function as well
For function f(x) = sin(x)
The domain is -∞ < x < ∞ and range -1 ≤ f(x) ≤ 1
However for f(x) = tan(x) the same is not applicable.
Compare the volume formulas for the prism and the pyramid:
Prism: (base)(height)
Pyramid: (1/3)(base)(height)
Thus, if the volume of the prism is 66 cu in, the vol. of the triangular pyramid is (1/3)(66 cu in) = 22 cu in.
Answer:
The first option is correct
