We know that
the garden is circular--------------> r=5 ft
Area1=pi*r²=pi*5²=78.50 ft²
path 2 feet by 2 feet square (good soil for the seeds)<span>
Area2=2*2=4 ft</span>²
<span>the probability that a seed will land in the 2 feet by 2 feet square=Area2/Area1
P=4/78.5=0.051 (5.1%)
the answer is 0.051 (5.1%)</span>
Choice c 24 glad to help explanation: 5 raised to second power is 25 and 25-3 to the zero power is one bc anything to the zero power is one so the answer is 24 25-1 is 24
Answer:
c. x ≈ 1.71, y ≈ 6.29, z ≈ 60.71
Step-by-step explanation:
You are at a bit of a disadvantage with this problem, because both the hint and the answer choices are incorrect.
The matrix equation is ...
![AX=B\\\\\left[\begin{array}{ccc}-1&1&0\\4&3&0\\1&-7&1\end{array}\right]\left[\begin{array}{c}x&y&z\end{array}\right]=\left[\begin{array}{c}8&12&15\end{array}\right]](https://tex.z-dn.net/?f=AX%3DB%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%261%260%5C%5C4%263%260%5C%5C1%26-7%261%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D8%2612%2615%5Cend%7Barray%7D%5Cright%5D)
Contrary to what the hint is telling you, the multiplication by the inverse must be on the left:
Using appropriate tools to compute the inverse, this becomes ...
![\left[\begin{array}{c}x&y&z\end{array}\right]=\dfrac{1}{7}\left[\begin{array}{ccc}-3&1&0\\4&1&0\\31&6&7\end{array}\right]\left[\begin{array}{c}8&12&15\end{array}\right]\\\\\left[\begin{array}{c}x&y&z\end{array}\right]=\dfrac{1}{7}\left[\begin{array}{c}-12&44&425\end{array}\right]\approx\left[\begin{array}{c}-1.714&6.286&60.714\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%3D%5Cdfrac%7B1%7D%7B7%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%261%260%5C%5C4%261%260%5C%5C31%266%267%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D8%2612%2615%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%3D%5Cdfrac%7B1%7D%7B7%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-12%2644%26425%5Cend%7Barray%7D%5Cright%5D%5Capprox%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-1.714%266.286%2660.714%5Cend%7Barray%7D%5Cright%5D)
The closest match is choice C.
I forgot but I used to know this one
1) function: P = 120 (1.0160)^t, t in years
2) weekly function
w = 52 * t = 52t
=> P(w) = 120 (1.016)^ (52w)
3) growth rate = d P(w) / dw
d P(w) / dw = 120 * 52 * [ 1.016 ^ (52w) ] = 6240 [(1.016) ^ (52w) ]
4) solution of the equation
Separate variables
d P(w) = [ 6240 (1.016) ^ (52w)] dw
integrate from w = 0 until w
P(w) - Po = 7599.84 e ^ (0.82514w)
P(w) = Po + 7599.84 e ^ (0.82514w)
