Answer:
112 lights
Step-by-step explanation:
The rule c=14f gives the number of lights, c, there are for each foot, f, of wire.
We need to find the number of light on 8 feet of wire.
Put f = 8 in the given rule equation
c = 14 × 8
= 112
Hence, there are 112 lights on 8 feet of wire.
The answer is 54 square units.
let the vertex in quadrant I be (x,y)
<span>then the vertex in quadratnt II is (-x,y) </span>
<span>base of the rectangle = 2x </span>
<span>height of the rectangle = y </span>
<span>Area = xy </span>
<span>= x(27 - x</span>²<span>) </span>
<span>= -x</span>³<span> + 27x </span>
<span>d(area)/dx = 3x</span>²<span> - 27 </span><span>= 0 for a maximum of area </span>
<span>3x</span>²<span> = 3 x 3</span>² = <span>27 </span>
<span>x</span>²<span> = 9 </span>
<span>x = ±3 </span>
<span>y = 27-9 = 18 </span>
So, the largest area = 3 x 18 = 54 square units
Answer:
The functions g and f are said to commute with each other if g ∘ f = f ∘ g. Commutativity is a special property, attained only by particular functions, and often in special circumstances. For example, |x| + 3 = |x + 3| only when x ≥ 0. ... The composition of one-to-one functions is always one-to-one.
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B. 50 degrees hope this helps
Answer: The answer is as follows:
Step-by-step explanation:
Given that,
S = {a,b,c)
(a) All the permutations of S are as follows:
= 3!
= 3 × 2 × 1
= 6
- (a,b,c), (a,c,b), (b,a,c), (b,c,a), (c,a,b), (c,b,a)
(b) All 2-combinations of S are as follows:
= 3