Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Answer:
58240
Step-by-step explanation:
1425 ------ 45600
1820 ------ x
1425*x = 1425x
45600*1820 = 82992000
1425x = 82992000
82992000/1425 = x
58240 = x
Answer:
y + 0.5 = 3(x - 2)
y + 0.5 = 3x - 6
y = 3x - 6.5
Step-by-step explanation:
Answer:
rate of change = 1.5 dollars per mile
Step-by-step explanation:
cost for travelling 1 mile = 3.75
cost 2 miles = 5.25
cost 3 miles = 6.75
cost 4 miles = 8.25
Answer:
1225π
Step-by-step explanation:
The question concerns the volume of the cylinder.
The formula of the volume is:
, where r is the radius and h is the height.
Plugging the given numbers into the formula, we find that:

The result - 1225π shows that the cylinder can be filled fully with that given amount.