Answer:
n = 133
Step-by-step explanation:
The sum of n terms of an arithmetic sequence is ...
Sn = n(2·a1 +d(n -1))/2
You want ...
n(10 +1/2(n -1))/2 > 5000 . . . . . filling in a1=5, d=1/2
(n^2 +19n)/4 > 5000 . . . . . . . . .simplify
n^2 +19n -20000 > 0 . . . . . . . write in standard form
We can solve this quadratic using the quadratic formula ...
n > (-19 +√(19^2 -4(1)(-20000)))/2 = (-19 +√80361)/2 ≈ 132.24
The least value of n such that the sum of n terms exceeds 5000 is ...
n = 133.
Answer:
Adriano is being scammed
Step-by-step explanation:
Tell Adriano to stop otw his Social Security number will be leaked
3x-6y=12
y=mx+b
-6y=-3x+12 <- divide by -6 to make y by itself
y=1/2x-2
The y-intercept is (0,-2)
x-intercept: put 0 in for y
0=1/2x-2
2=1/2x
x=4
(4,0)
Y intercept: (0,-2)
X-intercept (4,0)
Answer:
Step-by-step explanation:
you have that the average sped is given by the following formula:
The uncertainty formula for a division is given by:
(1)
Δv: uncertainty in speed
Δx: uncertainty in the distance = 0.9m
Δt: uncertainty in time = 0.7s
x: distance = 8.1m
t: time = 1.7s
You replace the values of all parameters in the equation (1):
Hence, the relation between the uncertainty in the average velocity is 0.426
