Answer:
Step-by-step explanation:
What is the average speed of a biker if she biked 4 1/4 of a mile in 25 minutes?
-----------------
rate = distance/time
-----
rate = (17/4)/(25/60) = (17/4)(60/25) = (17*3/5) = 51/5 = 10.2 mph
----------------
Volume of the cylinder is 480 cm³ (rounded off to the nearest tenth)
Step-by-step explanation:
- Step 1: Find volume of the cylinder when radius = 4 cm and height = 9.5 cm
Volume = πr²h = 3.14 × 4² × 9.5
= 3.14 × 16 × 9.5 = 477.28 cm³ ≈ 480 cm³
Although the number of new wildflowers is decreasing, the total number of flowers is increasing every year (assuming flowers aren't dying or otherwise being removed). Every year, 25% of the number of new flowers from the previous year are added.
The sigma notation would be:
∑ (from n=1 to ∞) 4800 * (1/4)ⁿ , where n is the year.
Remember that this notation should give us the sum of all new flowers from year 1 to infinite, and the values of new flowers for each year should match those given in the table for years 1, 2, and 3
This means the total number of flowers equals:
Year 1: 4800 * 1/4 = 1200 ]
+
Year 2: 4800 * (1/4)² = 300
+
Year 3: 4800 * (1/4)³ = 75
+
Year 4: 4800 * (1/4)⁴ = 18.75 = ~19 (we can't have a part of a flower)
+
Year 5: 4800 * (1/4)⁵ = 4.68 = ~ 5
+
Year 6: 4800 * (1/4)⁶ = 1.17 = ~1
And so on. As you can see, it in the years that follow the number of flowers added approaches zero. Thus, we can approximate the infinite sum of new flowers using just Years 1-6:
1200 + 300 + 75 + 19 + 5 + 1 = 1,600
I’m pretty sure it would be 372.22
