Answer: 2.66 × 10⁻¹³
<u>Step-by-step explanation:</u>
First, use the decay formula 
where
- A is the final amount (amount left)
- A₀ is the initial amount (amount you started with)
- k is the rate of decay (you need to solve for this)
- t is the time
Given:
- A = 1/2(300) = 150
- A₀ = 300
- k = unknown
- t = 28.8
Next, input the k-value and the new t-value to solve for A.
- A = unknown
- A₀ = 300
- k = -0.0240676
- t = 1440
Answer:
541.7 (m2)
Step-by-step explanation:
Applying the sine theorem:
WV/sin(X) = XV/sin(W)
=> WV = XV*sin(X)/sin(W) = 37*sin(50)/sin(63) = 31.81
Angle V = 180 - X - W = 180 - 50 - 63 = 67
Denote WH is a height of the triangle VWX, H lies on XV
=> WH = WV*sin(V) = 31.81*sin(67) = 29.28
=> Area of triangle VWX is calculated by:
S = side*height/2 = XV*WH/2 = 37*29.28/2 = 541.7 (m2)
Answer:
what year was his trip? I can figure it out I just need the year
Step-by-step explanation:
Answer:
y=-2x-2
Step-by-step explanation:
Slope: -4-2/1-(-2)=-6/3=-2
Equation: y=-2x+b
Substitute: 2=-2(-2)+b
2=4+b
b=-2
Therefore, y=-2x-2
I hope this helped and have a good rest of your day!
Answer:
5/4k^2
Step-by-step explanation:
P=5\dfrac{k}{6}\times \dfrac{3}{2k^3}.
We will be using the following property of exponents:
\dfrac{a^x}{a^y}=a^{x-y}.
We have
P\\\\\\=5\dfrac{k}{6}\times\dfrac{3}{2k^3}\\\\\\=\dfrac{5}{6}\times\dfrac{3}{2}k^{1-3}\\\\\\=\dfrac{5}{4}k^{-2}=\dfrac{5}{4k^2}.
Thus, the required product is \dfrac{5}{4k^2}.
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