1.56%<span> 1/8 of the original source (25 counts) remains at 3:00pm. This means that the </span>half-life<span> is 1 hour. Continue to find the fraction at 6:00pm.</span>
We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)
Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))
If you simplify this, you get:
0+cos(x)/0-sin(x)
Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)
Answer:
4 times
Step-by-step explanation:
1 quart is equivalent to 32 fluid ounces.
If each eruption consumes 8 fluid ounces of vinegar. Assuming that the amount of vinegar required per eruption is constant, the number of times Tanvi can make her volcano erupt is:

Tanvi can make her volcano erupt 4 times with 1 quart of vinegar.
Answer:
1400 miles
Step-by-step explanation:
Speed is the time rate of change of distance. It is the ratio of distance to time and is given by the equation:

plane averaged 400 mph on a trip going east, but only 280 mph on the return trip.
The time spent (t₁) in going east is given by:

The time spent (t₂) in going east is given by:

The total time (t) = t₁ + t₂
t = t₁ + t₂ = 8.5 hours

Therefore the one way distance is 1400 miles