<span>So we wan't to convert the temperature from Celsius scale to fahrenheit scale. The method fot that is this: First, 0 degrees Celsius or the starting point of Celsius scale is 32 degrees Fahrenheit. And the magnitude of a degree Fahrenheit is 1.8 times greater than the magnitude of a degree Celsius, or: 1F=1.8F. So now we can construct a function that will give us temperature in degrees Fahrenheit: T(F)=1.8T(C) + 32. We have T(C)= 40, and after we put that in our function we get: T(F)= 1.8*40 + 32 = 72 + 32 = 104 F. So 40 degrees Celsius is 104 degrees Fahrenheit. </span>
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
Answer:
1.59 change
Step-by-step explanation:
2.78*2=5.56
5.56+2.85=8.41
10.00-8.41=1.59
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Check the picture below.
keeping in mind that a cube is just a rectangular prism with all equal sides.
