Given:
x and y are both differentiable functions of t.
To find:
The value of 
.
Solution:
We have,
...(i)
At x=-1,
Divide both sides by 3.
Taking cube root on both sides.
So, y=2 at x=-1.
Differentiate (i) with respect to t.
Putting x=-1, y=2 and 
, we get
Divide both sides by -8.
Therefore, the value of is 36.
Answer:
the answer is 87
Step-by-step explanation:
Answer:
Probability[Prime number] = 1/3
Step-by-step explanation:
Given:
Total number between 13 to 21;
13, 14, 15, 16, 17, 18, 19, 20, 21
Find:
Probability[Prime number]
Computation;
Total number between 13 to 21 = 9
Total number of prime number;
13, 17 ,19
Total number of prime number = 3
Probability pf event = Number of favorable output / Total output
Probability[Prime number] = Total number of prime number / Total number between 13 to 21
Probability[Prime number] = 3 / 9
Probability[Prime number] = 1/3
Answer:
$48.15
Step-by-step explanation:
Take 45 and multiply it by 0.07 and you get 3.15. Add that number to 45 and you get 48.15 as your answer
Answer:
The oldest age of Olivia’s sister can be 11 years.
Step-by-step explanation:
Given: Olivia’s sister’s age is x years.
To write: inequality that can be used to represent the given situation.
As Olivia is 6 years older than her sister,
Olivia's age 
As the sum of their ages is no more than 28 years,
So, the oldest age of Olivia’s sister can be 11 years.
