Answer: 362,880
Step-by-step explanation: At first glance of the question, it doesn't seem that the order matters, which would make it a question of how many combinations there are. The simple way to look at it is that there are 9 trees and he's planting 8, leaving out 1. Since there are 9 possible trees to leave out, there are 9 possible combinations of which 8 trees to plant.
The formula would be 9!/([9-8]!*8!) = 9
If the question is indeed asking for permutations (order matters), since you are choosing 8 out of 9 the formula would be 9!/(9-8)! = 9!/1! = 9! = 362,880
Answer:
independent: day number; dependent: hours of daylight
d(t) = 12.133 +2.883sin(2π(t-80)/365.25)
1.79 fewer hours on Feb 10
Step-by-step explanation:
a) The independent variable is the day number of the year (t), and the dependent variable is daylight hours (d).
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b) The average value of the sinusoidal function for daylight hours is given as 12 hours, 8 minutes, about 12.133 hours. The amplitude of the function is given as 2 hours 53 minutes, about 2.883 hours. Without too much error, we can assume the year length is 365.25 days, so that is the period of the function,
March 21 is day 80 of the year, so that will be the horizontal offset of the function. Putting these values into the form ...
d(t) = (average value) +(amplitude)sin(2π/(period)·(t -offset days))
d(t) = 12.133 +2.883sin(2π(t-80)/365.25)
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c) d(41) = 10.34, so February 10 will have ...
12.13 -10.34 = 1.79
hours less daylight.
9514 1404 393
Answer:
-3/5
Step-by-step explanation:
The slope can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
Using the values from the marked points, we have ...
m = (-2 -1)/(2 -(-3)) = -3/5 . . . . it is negative
100 meters in a hectometers
So basically 1hectameter=100 meters
240hm=240(100)=24,000 meters
Hello there! I can help you! So we are decreasing a price by 12% and then doing it again by 5%. We would pay 88% of the original price and then 95% of that sale price. To execute this better, let's make a real-world situation. Say that Mariana wants to buy a new pair of shoes that originally costed $100. The store has a tag for 12% off and then an additional 5% discount at the counter. How much would she pay for the shoes? What total discount does she get? Let's start by multiplying 100 by 88%. 100 * 88% (0.88) is 88. That's the first part. Now, we multiply that number by 95% to find the price at the counter. 88 * 95% (0.95) is 83.6. That's the price with both discounts. Mariana would pay $83.60 for the shoes, but what about the percent discount total? Let's subtract that price from 100 and see what we get. 100 - 83.6 is 16.4. Percents are parts of 100, so we don't need to do anymore simplifying. There. The total amount of discount is 16.4%.
