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.
It would be 7 because -3 times 5
1/18 is left. Thomas has 1/18 left of his book. How? What denominator can 9&6 relate to? 54? Sure, but it could be lower. How about 18? Ok. We have 18 because 9x2 and 6x3 both equal 18...
2/9 becomes 4/18 because 18 divided by 9 is 2. You multiply 2 with the two from 2/9.
1/6 becomes 3/18 because 18 divided by 6 is 3. You then multiply 3 with the one from 1/6.
Put it together and TA-DA... Your answer is 1/18
Petri dish A has 1080000000000000
Petri dish B has 270000000000
Petri dish a is greater by 1.07973E15
Hope that helped :)