Answer:
The answer is "26179.4".
Step-by-step explanation:
Assume year 2000 as t, that is t =0.
Formula:
Where,
for doubling time,
Given value:
when year is 2000, t=0 so, year is 2100 year as t = 100.
5(2f+3)+7. please simplify
2 answers:
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25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path. This can be obtained by considering this as a right angled triangle.
<h3>How fast is the tip of his shadow moving?</h3>Let x be the length between man and the pole, y be the distance between the tip of the shadow and the pole.
Then y - x will be the length between the man and the tip of the shadow.
Since two triangles are similar, we can write
⇒15(y-x) = 6y
15 y - 15 x = 6y
9y = 15x
y = 15/9 x
y = 5/3 x
Differentiate both sides
dy/dt = 5/3 dx/dt
dy/dt is the speed of the tip of the shadow, dx/dt is the speed of the man.
Given that dx/dt = 5 ft/s
Thus dy/dt = (5/3)×5 ft/s
dy/dt = 25/3 ft/s
Hence 25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path.
Learn more about similar triangles here:
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ANSWER
EXPLANATION
To find the average weight per bushel, we add all the three weight and divide by 3.
We convert all the mixed numbers to improper fraction to obtain,
The least common denominator for the fractions in the numerator is 8.
This implies that,
This simplifies to
This gives us,
EXPLANATION
To find the average weight per bushel, we add all the three weight and divide by 3.
We convert all the mixed numbers to improper fraction to obtain,
The least common denominator for the fractions in the numerator is 8.
This implies that,
This simplifies to
This gives us,