Answer:
The x-coordinate of the point changing at ¼cm/s
Step-by-step explanation:
Given
y = √(3 + x³)
Point (1,2)
Increment Rate = dy/dt = 3cm/s
To calculate how fast is the x-coordinate of the point changing at that instant?
First, we calculate dy/dx
if y = √(3 + x³)
dy/dx = 3x²/(2√(3 + x³))
At (x,y) = (1,2)
dy/dx = 3(1)²/(2√(3 + 1³))
dy/dx = 3/2√4
dy/dx = 3/(2*2)
dy/dx = ¾
Then we calculate dx/dt
dx/dt = dy/dt ÷ dy/dx
Where dy/dx = ¾ and dy/dt = 3
dx/dt = ¾ ÷ 3
dx/dt = ¾ * ⅓
dx/dt = ¼cm/s
The x-coordinate of the point changing at ¼cm/s
Answer:
1/1024.
Step-by-step explanation:
There are 3 odd numbers in the numbers from 1 to 6. So:
Probability (one toss is odd) = 3/6 = 1/2.
So the Probability ( 10 tosses are all odd) = (1/2)^10
= 1/1024.
Answer:
The experimental probability that terry will win their next game is 
Step-by-step explanation:
While theoretical probability is the ratio of the number of favourable outcomes to the total number of outcomes, the experimental probability is the ratio of number of times the event is occurring to the total number of trials of the experiment.
Out of 5 games jay wins 3
Now the experimental probability that terry will win their next game
= 1 - Probability of Jay winning the game----------------------(1)
Probability of Jay winning the game = 
=> 
----------------------------------------------------(2)
Substituting (2) in (1)
=> 1 -
=> 
=>
Just solve for , then substitute back into either expression and calculate either BC or AD. The other one is then the same amount.
The one about the square is the same thing except you don't care how the figure is named because all 4 sides are equal anyway. Just set the two expressions equal to one another and then solve for
Answer:
.12
Step-by-step explanation:
