3. A small airplane flew 104 miles in 50
2 answers:
Answer: The airplane can fly 124.8 miles in 1 hour.
Step-by-step explanation: Given that a small airplane flew 104 miles in 50
minutes.
We are to find the number of miles that the airplane can fly in one hour.
We will be using the UNITARY method to solve the given problem.
We have
In hours, number of miles flew by the airplane = 104 miles.
So, in 1 hour, number of miles flew by the airplane is
Thus, the airplane can fly 124.8 miles in 1 hour.
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Answer:
<em>(D). (8, - 5) </em>
Step-by-step explanation:
Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)
Coordinates of the midpoint are ( ,
)
(x² - 10x + 25) + (y² + 2y + 1) = 25
(x - 5)² + (y + 1)² = 5²
(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)
5 = (2 + x) / 2 ⇒ x = 8
- 1 = (3 + y) / 2 ⇒ y = - 5
<em>(D). (8, - 5)</em>
Answer:
186655 geese
Step-by-step explanation:
In this question , the next generation is calculated by multiplying the current generation by 2.2. Let's do a simple math;
1st generation = 3
2nd generation= 3×2.2=6.6
3rd generation=6.6×2.2=14.52
4th generation=14.52×2.2=31.94
5th generation=31.94×2.2=70.28
6th generation= 70.28×2.2=154.61
7th generation=154.62×2.2=340.14
8th generation=340.14×2.2=748.31
9th generation=748.31×2.2=1646.28
10th generation=1646.28×2.2=3621.81
11th generation=3621.81×2.2=7967.98
12th generation=7967.98×2.2=17529.55
13th generation=17529.55×2.2=38565.0
14th generation=38565.0×2.2=84843.02
15th generation=84843.02×2.2=186654.64
=186655 geese
OR
If current generation is calculated as the previous generation multiplied by a factor then you should see that this is an exponential function.In this case
Original number of geese=3
Factor of multiplication is =2.2
Exponential function for first generation is =0
How? see here
So from the above you can derive an expression for 15th generation
You notice for 1st generation , the exponent is 0
For the 2nd generation the exponent is is 1
For the 3rd generation the exponent is 2
Thus for the nth generation the exponent will be n-1
Your expression for nth generation can now be;
For 15th generation