2 years ago

A 11-inch candle burns down in 4 hours. At what rate does the candle burn, in inches per hour?

Mathematics

2 answers:

aliya0001 [1]2 years ago

8 0

2.75 inches per hour

11/4=2.75

fiasKO [112]2 years ago

6 0

Answer:

2 3/4 inches per hour.

Step-by-step explanation:

11/4

= 2 3/4 inches per hour.

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Water whose temperature is at 100∘C is left to cool in a room where the temperature is 60∘C. After 3 minutes, the water temperat

Tju [1.3M]

Answer:

21.68 minutes ≈ 21.7 minutes

Step-by-step explanation:

Given:

$T=60+40e^{kt}$

Initial temperature

T = 100°C

Final temperature = 60°C

Temperature after (t = 3 minutes) = 90°C

Now,

using the given equation

$T=60+40e^{kt}$

at T = 90°C and t = 3 minutes

$90=60+40e^{k(3)}$

$30=40e^{3k}$

$e^{3k}=\frac{3}{4}$

taking the natural log both sides, we get

3k = $\ln(\frac{3}{4})$

3k = -0.2876

k = -0.09589

Therefore,

substituting k in 1 for time at temperature, T = 65°C

$65=60+40e^{( -0.09589)t}$

$5=40e^{( -0.09589)t}$

$e^{( -0.09589)t}=\frac{5}{40}$

$e^{( -0.09589)t}=0.125$

taking the natural log both the sides, we get

( -0.09589)t = ln(0.125)

( -0.09589)t = -2.0794

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6 0

3 years ago

What is greater 1/4 or 0.4?

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1/4 in decimal form is 0.25, so 0.4 is definitely greater.

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3 years ago

A man is 6 feet 3 inches tall. The tip of his shadow touches a fire hydrant that is 13 feet 6 inches away. What is the angle of

Natalija [7]

well, since a foot is 12inches, 6' 3" will just be 6.25' and 13' 6" will be 13.5'.

Check the picture below.

Make sure your calculator is in Degree mode.

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2 years ago