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Brilliant_brown [7]
3 years ago
8

An ancient Chinese candle clock tells the amount of time that has passed by the amount of wax that has been melted off the candl

e. Each candle is divided into 12 sections, marked 1 inch apart. It takes 4 hours for each candle to completely melt, after which a new candle is lit. If two candles have completely melted and one candle has melted 4 in, how many minutes have passed since the first candle was lit?
Mathematics
2 answers:
rjkz [21]3 years ago
8 0
Two candles=8 hours=8*60=480 minutes
4 inch is 4/12 of a candle, 4/12 of 4 hours=16/12=4/3 hours=80 minutes
so the total minutes are 480+80=560 
rosijanka [135]3 years ago
4 0

Answer:

480+80=560

If a colored candle and a white candle are burned at the same time for an hour, then the colored candle will burn faster, because it has more chemicals than the white candle.

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Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y = (8/x^2) + 4
rjkz [21]
Y=f(g(x))      and      y= \frac{8}{x^{2}}+4


our aim is to express f as a function of g, where g is a function itself, of x.

in the expression tex]y= \frac{8}{x^{2}}+4 [/tex] we may notice 2 functions:

the squaring x function, which may well be our g: g(x)= x^{2}

and the "8 divided by x, +4" function: f(x)= \frac{8}{x}+4


check : 

f(g(x))= \frac{8}{g(x)}+4

because whatever the input of f is, it divides it from 8, and adds 4 to the division. 

since, g(x)= x^{2}, 

f(g(x))= \frac{8}{g(x)}+4=\frac{8}{x^{2}}+4


Answer:

g(x)= x^{2}

f(x)= \frac{8}{x}+4
6 0
3 years ago
A dilation has center (0,0). Find the image of the point L(-4,0) for the scale factor 9.
Andreyy89

Answer:

L' = (-36, 0)

Step-by-step explanation:

If the point (x, y) is dilated by a scale factor of k about the center (0, 0), then its image is the point (kx, ky)

∵ A dilation has a center (0, 0)

∵ The point L is (-4, 0)

∴ x = -4 and y = 0

∵ The scale factor of dilation is 9

∴ k = 9

→ By using the rule above

∵ kx = 9(-4) = -36

∵ ky = 9(0) = 0

∵ The image of the point L is (kx, ky)

∴ L' = (kx, ky)

∴ L' = (-36, 0)

8 0
3 years ago
Alice had pounds of flour at the beginning of the week. at the end of the week, she had pounds. how much has she used?
tiny-mole [99]
3. 40 I believe is the answer.
8 0
3 years ago
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of miles/hour. The highwa
Readme [11.4K]

Answer:

the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour

Step-by-step explanation:

The computation of the standard deviation of the speeds of cars is shown below;

The z score for the top 1% is 2.326

So,

= (75 - 61) ÷ standard deviation = 2.326

Standard deviation is

= 14 ÷ 2.326

= 6.0 miles per hour

Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour

4 0
3 years ago
The price of 2 pears and 6 apples is $14. the price of 3 pears and 9 apples is $21. find the price for one pear and one apple
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if 2 pears and 6 apples is 14
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it's like your doubling the amount each time you add...

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4 years ago
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