Answer:
1. 600 watts
2. 35640 J
3. 55%
4. 20 J
5. The cost of running the fire is 8p.
Step-by-step explanation:
1. Energy = 36 000 J , t = 1 minute = 60 seconds
Power = 
= 
= 600 watts
2. Power = 
⇒ work done = Power × time
= 99 × 360
= 35640 J
3. Efficiency = (Output / Input) × 100
= 
× 100
= 55%
4. Work done = Force × distance
= 5 × 4
= 20 J
5. Given that 1 KWh cost 2p, Power = 4 KW and time = 4 hours.
Power =
Energy = Power × time
= 4 × 4
= 16 KWh
The cost of running the fire = 
= 8p
The number of tweets that's will be needed to send to get at least 48 people will be at least 9 tweets.
Let the number of tweets be represented by x.
Therefore, based on the information given, the equation to solve the question will be:
12 + (4 × x) ≥ 48
12 + 4x ≥ 48
Collect like terms.
4x ≥ 48 - 12
4x ≥ 36
x ≥ 36/4
x ≥ 9
Therefore, 9 or more tweets will be needed.
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Answer:
it very simple actually, just do it what its saying from any point it wont really matter youll still get it right
Step-by-step explanation:
Answer:
- p = -3
- v: (4, -1)
- f: (4, -4)
- d: y = 2
Step-by-step explanation:
The equation ...
(x -h)² = 4p(y -k)
is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.
The vertex for equation ...
(x -4)² = -12(y +1)
is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.
_____
<em>Additional comment</em>
As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.
You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.
The formula for this is
A = P(1 + r/100)^n where P = initial investment, r = compound interest as per cent, and n = number of years.
so here we have
A = 12000(1 + 1.5/100) ^ 2 = 12000 * 1.015^2 = £12,362.70
