Six years ago, Lucia’s age was 1/3 the age she will be in 6 years. How old is Lucia now? Enter an integer.
1 answer:
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Let n be the total number of puffs. Now we can write:
Adding the fractional value of n, we get:
Simplifying and rearranging gives us:
Therefore we can simplify to get:
and finally
The fraction of the puff that are tuna is found from:
Adding the fractional value of n, we get:
Simplifying and rearranging gives us:
Therefore we can simplify to get:
and finally
The fraction of the puff that are tuna is found from:
Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²
Differentiating with respect to t
Since the car driving towards the intersection at 13 m/s.
so,
Now
= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.