Let the angle of elevation is x and the height of the rocket from the ground is y
tanx = y/15
by differentiating both sides with respect to T
sec²x·dx/dt = (dy/dt)/15
at y = 30 , the hypotenuse of the triangle = 15√5
sec²x=(15√5/15)²=5
5 dx/dt = 11/15
dx/dt = 11/75 rad/sec
First the y-intercept would increase. The magnitude of the slope of the trendline would decrease as compared to the slope with all the years in them. The slope would still be increasing. And there would still be a positive correlation.
<u>Answer:</u>
The probability of selecting such number =
<u>Explanation:</u>
4-digit numbers start from 1000 and ends at 9999
So, there are 9000 4-digit numbers present
There are 90 palindrome numbers (which reads the same forward and backward) present between 1000-9999. They are 1001; 1111; 1221; 1331; ... 1001; 1111; 1221; 1331; ... to 9669; 9779; 9889; 9999; 9669; 9779; 9889; 9999
Therefore, the probability of selecting such number =
2700 (1-4%) 5. population by 2020 would be 2201
Number of dog food packages bought by Byron is 300
Step-by-step explanation:
- Step 1: Given number of bird food packages = b. Find the number of packages for the other animal foods.
Number of hamster food packages = b.
Number of dog food packages = 4b
Number of cat food packages = 1/2 of 4b = 2b
Total food packages = 600
⇒ b + b + 4b + 2b = 600
⇒ 8b = 600
⇒ b = 600/8 = 75
- Step 2: Calculate the amount of dog food
∴ 4b = 4 × 75 = 300
