3/4(3z+6) - 1/4(5z - 24)
1 answer:
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It takes 8.35 hours for the size of the sample to double
Step-by-step explanation:
The form of the continuous exponential growth model is
, where
- A is the new value
- P is the initial value
- r is the rate of growth or decay in decimal
- t is the time
∵ The growth rate is 8.3%
∴ r = 8.3 ÷ 100 = 0.083
∵ The size of the sample will doubled in t hours
∴ A = 2 P
Use the formula of the contentious exponential growth above
∵
- Divide both sides by P
∴
- Insert ㏑ in both sides
∴
- Remember because ㏑(e) = 1
∴
- Divide both sides by 0.083
∴
∴ t = 8.35 hours to the nearest hundredth
It takes 8.35 hours for the size of the sample to double
Learn more:
You can learn more about the logarithmic function in brainly.com/question/1447265
#LearnwithBrainly
On top: (-2)³ = -2 × -2 × -2 = -8
(x²)³ = x^6 (the exponents multiply)
and of course, (y)³ = y³
On the bottom: (xy²z)² = x² y^4 z²
(-yz)² = y²z²
Multiplying these together, the exponents add and we get x² y^6 z^4.
So, your reasoning is correct for what you have so far.
Your next step would be cancelling shared factors from the top and bottom.
Just like with regular fractions, if the numerator and denominator are divisible by the same number, you can divide them by it to simplify. (ex: 4/6 = 2/3)
Well, x^6 and x^2 are both divisible by x^2, right?
We can also cancel the y^3.
It might help to visualise the factors like this:
Once you've cancelled out x² and y³ from each, you're left with