Answer:
0.102 s
Step-by-step explanation:
Given the following :
Initial speed (u) = 1 m/s
How long does it take the bean bag to reach maximum height?
At maximum height, the final velocity v = 0
Acceleration due to gravity g = - ve (upward motion) =? - 9. 8m/s²
Using the relation:
v = u + gt
0 = 1 - 9.8t
9.8t = 1
t = 1 / 9.8
t = 0.102 s
Answer:
y = 3x + 30
Step-by-step explanation:
This is what the table should look like.
Number of Bars Sold (x) Total Earnings (dollars) (y)
0 30
1 33
2 36
3 39
When x = 0, y = 30. The point (0, 30) is the y-intercept.
As x goes up by 1, from 0 to 1, from 1 to 2, from 2 to 3, y goes up by 3, from 30 to 33, from 33 to 36, from 36 to 39.
A change of 1 in x results in a change of 3 in y.
That is a slope of 3 since
slope = (change in y)/(change in x)
The equation of a line in slope-intercept form is
y = mx + b
We have m = 3 and b = 30, so the equation is
y = 3x + 30
Answer: 3x + 30
9514 1404 393
Answer:
2π
Step-by-step explanation:
The first peak is shown at x=π/2. The next peak is shown at x=5π/2. The difference in x-values between repeating parts of the graph is ...
5π/2 -π/2 = 4π/2 = 2π
The period of the function shown is 2π.
Answer:
4 units
Step-by-step explanation:
In triangle DEF, DK is the angle bisector of angle EDF.
<u>Angle bisector theorem</u> states that if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides.
Hence,
Thus,
When more offspring than can survive are produced, it is called overproduction. Variation among these offspring exists. The offspring with variations more suited to their environments will be more likely to survive.
