Given that number of rabbits on January 1 = 150
We have to find some equation that can be used to find the number of rabbits after x years.
Given that the population of rabbits on a large island doubles every year.
So number of rabbits in 2nd year = 150*2
number of rabbits in 3rd year = 150*2*2=
number of rabbits in 4th year = 150*2*2*2=
In same way
number of rabbits in xth year = 150*2*2...=
In the xth year, population should be 4800
Hence the required equatino is
Question isn't asking for the value of x, so there is no need to solve this equation.
Hence final answer is .
Answer:
$525
Step-by-step explanation:
72%x=378
0.72x=378
378/.72=525
Answer: (1, 2)
Concept:
There are three general ways to solve systems of equations:
- Elimination
- Substitution
- Graphing
Since the question has specific requirements, we are going to use <u>elimination</u>
Solve:
<u>Given expressions</u>
x + 5y = 11
-x + 4y = 7
<u>Add both equations together to elimination [x] variable</u>
(x + 5y) + (-x + 4y) = 11 + 7
x - x + 5y + 4y = 18
9y = 18
<u>Divide 9 on both sides</u>
9y / 9 = 18 / 9
<u>Find the x value</u>
x + 5y = 11 ⇔ <em>Given equation</em>
x + 5(2) = 11 ⇔ <em>Substitute values of y</em>
x + 10 = 11 ⇔ <em>Simplify by multiplication</em>
x + 10 - 10 = 11 - 10 ⇔ <em>Subtract 10 on both sides</em>
Hope this helps!! :)
Please let me know if you have any questions
Answer:
11.17 ft
Step-by-step explanation:
Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.
Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by
L = Δθ/360 × 2πr where Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ = -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.
Substituting r and Δθ into L, we have
L = -80°/360° × 2π(8 ft)
= -8/36 × 16π ft
= -32π/9 ft
= -100.53/9 ft
= -11.17 ft
Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft
The answer is A (3, 6)
plug it in: a of n(3) = (a of 2 which is 6)squared minus a of 2 which is 6.
you get: an(3)=36 minus 6 which equals 30
then plug it in for a of 4:
a of n(4) is 870=(a of 3 which is 30)squared minus a of three which is 30
so you get: 870=900 minus 30
that gives you the answer of 870=870 so answer #1 is correct