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sp2606 [1]
3 years ago
15

Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.

Mathematics
1 answer:
Natalija [7]3 years ago
5 0

Answer:

x=3 , x=-3

Step-by-step explanation:

e^{lnx^2} -9= 0

Add 9 on both sides

e^{lnx^2}=9

To remove base 'e' we take ln on both sides

ln e^{lnx^2}=ln9

lnx^2=ln(9)

Both sides have ln , so we make the terms equal

x^2=9

Take square root on both sides

x=+-3

x=3 , x=-3

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A newsletter publisher believes that below 68% of their readers own a Rolls Royce. Step 1 of 1 :State the null and alternative h
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The null hypothesis is p = 0.68 while the alternative hypothesis will be that it's below that is p < 0.68.

First, let us understand the Null and Alternative hypotheses:

The null hypothesis is simply to predict that there is no effect of the relationship between the variables.

The alternative hypothesis is to state the research prediction of a relationship or effect. In this case, the newsletter publisher believes that below 68% of their readers own a Rolls Royce.

The null hypothesis is that the proportion of readers who own a Rolls Royce is equal to 0.68.

Null hypotheses = H₀: p = 0.68

The alternate hypothesis is that the proportion of readers who own a Rolls Royce is below 0.68.

Alternate hypotheses = H₁: p < 0.68.

Thus, the null hypothesis is p = 0.68 while the alternative hypothesis will be that it's below that is p < 0.68.

To learn more about the Null and Alternative hypotheses visit:

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4 0
1 year ago
The population P of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population
user100 [1]

Answer:

Option D:

\frac{dP}{dt} = kP(2400 - P)

Step-by-step explanation:

Differential equation:

For the population in function of the time, is:

\frac{dP}{dt}

The population P of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population and the difference between the rabbit population and the carrying capacity of the population

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This means that the differential equation is kP(size of the population multiplied by the constant) multiplied by 2400 - P(difference between the population and the carrying capacity). So

\frac{dP}{dt} = kP(2400 - P)

So the answer is given by option D.

8 0
2 years ago
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