Step-by-step explanation:
Seven lakh and seventy thousand.
This is your answer.
Answer:
The slope is -2/3.
Step-by-step explanation
Let m represent the slope.
m= rise/run= y2-y1/x2-x1
-1 - (-3)/0-3
2/-3
-2/3
Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
Answer:
(5,12)
Step-by-step explanation:
because 18-13=5 and 20-8=12
Answer:
Mean: 49
Median: 41
Mode: 45
Range: 70
Step-by-step explanation:
To find the mean: add up all the numbers, then divide by how many numbers there are.
To find the median:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
To find the mode: The mode of a data set is the number that occurs most frequently in the set.
To find the range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
