Maybe the answer is 1 x 3
Speed of the car is 45 km/h
Step-by-step explanation:
- Step 1: Find the distance traveled by the car in the first case.
Given that the speed of the car = 10 (t + 3) km/h
Time taken = 4 (t + 3) hours
Distance = Speed × Time
= 10 (t + 3) × 4 (t + 3) = 40(t + 3)² km
- Step 2: Equate the distance of 810 km with the distance that has been calculated above, since both are the same.
⇒ 810 = 40 (t + 3)²
⇒ (t + 3)² = 81/4
⇒ t + 3 = √81/4 = 9/2
⇒ t = 9/2 - 3 = 3/2 = 1.5
- Step 3: Find the speed of the car.
Speed = 10 (1.5 + 3) = 10 × 4.5 = 45 km/h
Answer:
2
Step-by-step explanation:
We are given that a decimal number d
d=0.12345678...
Where d is formed by writing in succession all the positive integers in increasing order after decimal point.
We have to find the 100th digit of d to the right of the decimal point.
Place of first digit 1 after decimal=Tenth
Place of second digit 2 after decimal=Hundredth
Place of third digit 3 after decimal=Thousandth
Therefore, 100th digit of d to the right of the decimal point=2
Power and chain rule (where the power rule kicks in because ):
Simplify the leading term as
Quotient rule:
Chain rule:
Put everything together and simplify:
55/5 = 11
11 - 7 = 4
Answer: 55