Answer:
The answer to your question is: Japan
Step-by-step explanation:
Mobile cost in Spain = € 352.5
Mobile cost in Japan = ¥39856
Exchange rate = £1 = €1.41
£1 = ¥188
Cost of mobile in pounds
£ 1 ------------------ € 1.41
x ----------------- €352.5
x = (352.5 x 1) / 1.41
x= £250
£1 ------------------ ¥188
x ----------------- -¥ 39856
x = (39856 x 1) / 188
x = £212
Then, it was cheaper in Japan
I'm going to assume you meant to write fractions (because if
are all non-negative integers, the series would clearly diverge), so that



and so on.
a. If the pattern continues as above, we would have the general term

b. Note that we can write
as

The series diverges by comparison to the divergent series

The diagonals would be perpendicular (intersect at a 90* angle)
Answer:
160m/s
Step-by-step explanation:
The object can hit the ground when t = a; meaning that s(a) = s(t) = 0
So, 0 = -16a² + 400
16a² = 400
a² = 25
a = √25
a = 5 (positive 5 only because that's the only physical solution)
The instantaneous velocity is
v(a) = lim(t->a) [s(t) - s(a)]/[t-a)
Where s(t) = -16t² + 400
and s(a) = -16a² + 400
v(a) = Lim(t->a) [-16t² + 400 + 16a² - 400]/(t-a)
v(a) = Lim(t->a) (-16t² + 16a²)/(t-a)
v(a) = lim (t->a) -16(t² - a²)(t-a)
v(a) = -16lim t->a (t²-a²)(t-a)
v(a) = -16lim t->a (t-a)(t+a)/(t-a)
v(a) = -16lim t->a (t+a)
But a = t
So, we have
v(a) = -16lim t->a 2a
v(a) = -32lim t->a (a)
v(a) = -32 * 5
v(a) = -160
Velocity = 160m/s