Algebra

How far is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s

Tomtit [17]

825 meters away
i think bit too sure

7 0

3 years ago

Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body

PIT_PIT [208]

Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

(c) The amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

$1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720$

(a)

Compute the 5-hour decay factor as follows:

$5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042$

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

$1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720$

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)<em>ⁿ</em>

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

$A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112$

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

4 0

3 years ago

M+3=5:m=? please give me explained

storchak [24]

Answer: M = 2

Step-by-step explanation:

Given equation: m+3=5

You need to isolate m so you can find its value. Subtract 3 from the left side, and do the same to the right side. Subtracting 3 from 5 as well makes the number become 2 on the right side of the equation. Therefore, m=2.

A rule you should always remember is when you have a value on each side of the equal sign, whatever form of addition, subtraction, multiplication, or division should be done to the other side as well.

6 0

3 years ago

The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run

Kay [80]

(27 mi/hr) x (1 hr / 60 min) = (27/60) (mi/min) = 0.45 mile/minute

Using the same kind of calculation, we can see
that the world record times for other distances
correspond to:

200 meters    23.31 mph
400 meters    20.72 mph
800 meters    17.73 mph
1000 meters    16.95 mph
1500 meters 16.29 mph
1 mile (1,609 meters) 16.13 mph
2,000 meters    15.71 mph
10,000 meters    14.18 mph
30,000 meters    12.89 mph
Marathon (42,195 meters) 13.10 mph

Except for that one figure at the end, for the marathon,
which I can't explain yet and I'll need to investigate further,
it's pretty obvious that a human being, whether running for
his life or for a gold medal, can't keep up the pace indefinitely.

8 0

3 years ago

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Please answer the question in the picture

taurus [48]

Answer. 15ft can not be painted because 1 gallon= 4 quarts and 4 quarts cant get 15ft u will need 15 gallons=60 quarts

Step-by-step explanation:

4 0

3 years ago

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