The direct variation that can be established using the given parameters is that, the time it takes between seeing the lightning and hearing the thunder is directly related to the speed.
However, it can also be established that the time described above is inversely proportional to the distance. This can be written as,
t = k/d
We substitute the given expression for each of the known terms. t is time, s, and d is distance, 3s.
s = k/3s
The k written in the equation is the constant of proportionality.
You have the correct answer. It is choice B) -1/4
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Explanation:
This is because we're adding -1/4 to each term to get the next one. In other words, we're subtracting 1/4 from each term to get the next one.
- term2 = term1+(d) = 1/2 + (-1/4) = 1/2 - 1/4 = 2/4 - 1/4 = 1/4
- term3 = term2+(d) = 1/4 + (-1/4) = 1/4 - 1/4 = 0
- term4 = term3+(d) = 0 + (-1/4) = 0 - 1/4 = -1/4
- term5 = term4+(d) = -1/4 + (-1/4) = -2/4 = -1/2
and so on.
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To find the common difference, all we have to do is subtract any term from its previous one.
For example:
d = (term2) - (term1)
d = (1/4) - (1/2)
d = (1/4) - (2/4)
d = (1-2)/4
d = -1/4
The order of subtraction matters, so we cannot say d = term1-term2.
Answer:
245 tiles
Step-by-step explanation:
1 meter = 100 cm
Area of bathroom = 3.5m x 2.8m = 350x280 = 9800 cm²
Area of each tile = 20cm x 20cm = 400 cm²
Total number of tiles required = 9800/400 = 245
<u>Note</u>
Strictly speaking we have to find out how many tiles can be fitted in the length and breadth of the bathroom. Since the bathroom is 350 cm wide, we can fit 350/20cm = 17.5 tiles. However, there is no concept of 1/2 tile so the question has an ambiguity. along the width, we can fit 280/10 = 14 tiles
17.5 x 14 = 245 but if the question is reworded to how many tiles do we need to purchase to floor the bathroom it would be 18 x 14 = 252
F(x) = 6(9)^x
f(1/2) = 6(9)^(1/2)
f(1/2) = 6(9)^(0.5)
f(1/2) = 6*(9^0.5) 9^0.5 = √9 = +3 or -3.
f(1/2) = 6*3 = 18 or 6*-3 = -18
f(1/2) = 18 or -18
Hope this helps.
