9514 1404 393
Answer:
n + 5 > 11
Step-by-step explanation:
When 5 is added to a number n, the expression representing that sum is ...
5 + n
When that is greater than 11, the expression representing that comparison is ...
5 + n > 11
To solve this problem, we must assume that the man
undergoes constant acceleration as he goes down the river (therefore no other forces
must act on him except gravity). Therefore we can use the formula below to
calculate for the duration of his fall:
y = y0 + v0 t + 0.5 a t^2
where y is the distance and y0 = 0 since we set the
reference point at the bridge, v0 is the initial velocity and is also equal to
v0 = 0 since the man started from rest, therefore the equation becomes:
y = 0 + 0 t + 0.5 a t^2
y = 0.5 a t^2
Rewriting in terms of t:
t^2 = 2 y / a
t = sqrt (2y / a)
a is acceleration due to gravity = 9.8 m/s^2
t = sqrt [2 * 23 / 9.8]
t = 2.17 s
Therefore the jump last only about 2.17 seconds.
The slope of the line is 6, meaning that you can eliminate A,C. Since the point slope formula is y-y1=m(x-x1) you just need to see if the points are correct.
B. (3,9)
D. (1,-3)
While these do contain one point, substitute the coordinates to see which contain both.
B.
(1,-3): -3-9=6(1-3): -12=-12
(3,9): 9-9=6(9-3): 0= 6(6)
D.
(1,-3): -3+3=6(1-1): 0=6(0); 0=0
(3,9): 9+3=6(3-1): 12=6(2): 12=12
D is correct since the coordinate are on the line.
Answer:
The sum of first 50 terms is 3425.
Step-by-step explanation:
Let the first tem of A.P be 'a' and it's common difference be 'd'
Thus the 16th term of the A.P is given by
Now we know that the sum of first 'n' terms of the A.P is given by
![S_n=\frac{n}{2}[2a+(n-1)d]\\\\5=\frac{5}{2}[2a+4d]\\\\1=a+2d..........(ii)](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%5C%5C%5C%5C5%3D%5Cfrac%7B5%7D%7B2%7D%5B2a%2B4d%5D%5C%5C%5C%5C1%3Da%2B2d..........%28ii%29)
Solving equation 'i' and 'ii' simultaneously we get
Thus 
Thus the sum of first 50 terms euals
![S_{50}=\frac{50}{2}[2\times -5+(50-1)3]\\\\S_{50}=3425.](https://tex.z-dn.net/?f=S_%7B50%7D%3D%5Cfrac%7B50%7D%7B2%7D%5B2%5Ctimes%20-5%2B%2850-1%293%5D%5C%5C%5C%5CS_%7B50%7D%3D3425.)
