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Readme [11.4K]
3 years ago
15

Examine the function f(x)=x+(3/x). Find the point on the curve at which the tangent lines pass through the point (1, 1).

Mathematics
1 answer:
vazorg [7]3 years ago
6 0
Base on the function that you give and the data that are given. The point on the curve at which the tangent lines pass through the point (1,1). Base on my calculation and through my analyzations i came up with an answer of <span>-2x+3 = x+3/x</span>
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I need help with this problem please!
kramer

Answer:

585m³

Step-by-step explanation:

Multiply all of the numbers together

13 × 5 × 9 = 585

5 0
3 years ago
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex
amm1812

Answer:

6546 students would need to be sampled.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

This means that n = 200, \pi = \frac{118}{200} = 0.59

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

If the dean wanted to estimate the proportion of all students receiving financial aid to within 1% with 90% reliability, how many students would need to be sampled?

n students would need to be sampled, and n is found when M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 1.645\sqrt{\frac{0.59*0.41}{n}}

0.01\sqrt{n} = 1.645\sqrt{0.59*0.41}

\sqrt{n} = \frac{1.645\sqrt{0.59*0.41}}{0.01}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.59*0.41}}{0.01})^2

n = 6545.9

Rounding up:

6546 students would need to be sampled.

3 0
3 years ago
Round the number 296,386,482 to the nearest million
adelina 88 [10]
297,000,000 is your answer.
3 0
3 years ago
Read 2 more answers
A store prices tapes by raising the wholesale price 50% and adding 25 cents .What must a tape's wholesale price be if the tape s
Andre45 [30]

Let's call the store value as s and the wholesale price as w. A store prices tapes by raising the wholesale price 50%(0.5 in decimals) and adding 25 cents, writing this as an equation, we have

s(w)=w+0.5w+0.25

If we invert the equation we're going to find the the wholesale price as a function of the store price.

\begin{gathered} s=w+0.5w+0.25 \\ s=1.5w+0.25 \\ s-0.25=1.5w \\ w(s)=\frac{s-0.25}{1.5} \end{gathered}

Now, to find the wholesale price if the sales price is $1.99, we just need to evaluate s = 1.99 on the function we created.

w(1.99)=\frac{1.99-0.25}{1.5}=1.16

The wholesale price is $1.16.

5 0
1 year ago
The number of students who passed on the math exam was three-fourths of the total number of students who failed.
Alexxandr [17]

Answer:

one quarter of the total number of students will be those who failed their exam.

Step-by-step explanation:

Three - fourths = those who passed the exam

one quarter will be those who failed their exam

From the total number of the students.

Let's make an example

40 students who take the exam.

3 over 4 students from the total number of 40 take the exam and the result is passed and it mean 30 students passed in the exam.

1 over 4 students take the exam and the result is failed and it mean 10 students failed in the exam.

4 minus 3 over 4 will get the answer 1 over 4.

Use 1 over 4 to multiple with the total number of the students and that how you will get the answer for those who failed in their exam.

4 0
3 years ago
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