Let's rewrite the binomial as:
Using the binomial expansion, we get:
For the 15th term, we want the term where r is equal to 14, because of the fact that the first term starts when r = 0. Thus, for the 15th term, we need to include the 0th or the first term of the binomial expansion.
Thus, the fifteenth term is:
Answer:
A line that represents a proportional relationship passes through the origin, so these data are directly proportional.
Step-by-step explanation:
Answer:
The answer is option b.
<h2>144π</h2>
Step-by-step explanation:
Surface area of a sphere is 4πr²
where r is the radius
diameter = radius / 2
<h3>
<u>For Big </u><u>sph</u><u>ere</u></h3>
radius = 15 / 2 = 7.5in
Surface area = 4π(7.5)²
= 225π
<h3><u>Small </u><u>sph</u><u>ere</u></h3>
radius = 9/2 = 4.5in
Surface area = 4π(4.5)²
= 81π
Difference of the surface areas is
Surface area of big sphere - surface area of small sphere
Which is
225π - 81π
<h3>= 144π</h3>
Hope this helps you.
4/6 is bigger because 4/8 would be 0.5 and 4/6 is 0.6
Given:
$1,750
Rate = $1 = CLP 496.50
Spent : 217,513 pesos
Rate = CLP 1 = VEF 0.1283
Spent : 38,422.19 bolivars
Rate = VEF 1 = PGY1063.95
Spent : 12,857,441.39 guarani
Rate = PYG 1 = $0.00002186
$1750 * CLP 496.50 = CLP 868,875
CLP 868,875 - 217,513 = CLP 651,362
CLP 651,362 * VEF 0.1283 = VEF 83,569.7446
VEF 83,569.7446 - 38,422.19 = VEF 45,147.5546
VEF 45,147.5546 * PYG 1063.95 = PYG 48,034,740.70
PYG 48,034,740.70 - 12,857,441.39 = PYG 35,177,299.30
PYG 35,177,299.30 * $0.00002186 = $768.976763 ⇒ $768.98