All categories

3 years ago

If p varies inversely with q, and p = 2 when q = 1, find theequation that relates p and q.

Mathematics

1 answer:

NeTakaya3 years ago

3 0

Answer:

p = $\frac{2}{q}$

Step-by-step explanation:

Given that p varies inversely with q then the equation relating them is

p = $\frac{k}{q}$ ← k is the constant of variation

To find k use the condition p = 2 when q = 1, thus

k = pq = 2 × 1 = 2

p = $\frac{2}{q}$ ← equation of variation

You might be interested in

Ruby is making three tablecloths. He has 10 yards of fabric. How many yards of fabric will he use to make each tablecloth?

Ray Of Light [21]

If he will be making each tablecloth of equal size, then they will be 3 1/3 yards each, also could be shown as 10 feet, because 10 ÷ 3 = 3 1/3.
Hope this helps!

6 0

3 years ago

Read 2 more answers

If Sarah is planning a trip to an amusement park, and 410 people are going, how many buses are needed to transport everyone if 4

ladessa [460]

Answer: <u>11.</u>

Step-by-step explanation: All you'd have to do in order to achieve this answer is by dividing 410 by 40 which gives you the answer of 10.25. In order to fit everyone they'll need a rounded number of buses; equalling 11.

3 0

3 years ago

Read 2 more answers

Let x²y +ay² = b be an Implicitly defined function, where a and b are fixed Constants; find dy/dx

geniusboy [140]

The value of the differential with respect to x is -xy/x²+ay

<h3>Implicit differentiation</h3>

Given the following function

x²y +ay² = b

We are to differentiate implicitly with respect to x

x²dy/dx + 2xy + 2aydy/dx = 0

(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay

Hence the value of the differential with respect to x is -xy/x²+ay

Learn more on implicit differentiation here: brainly.com/question/25081524

#SPJ1

3 0

2 years ago

Put the following equation of a line into slope-intercept form, simplifying all fractions.

svetoff [14.1K]

The answer of your question is 4x +6y = - 5

5 0

3 years ago

Evelyn wants to estimate the percentage of people who own a tablet computer she surveys 150 indvidals and finds that 120 own a t

igomit [66]

Answer:

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

Step-by-step explanation:

Confidence interval for the proportion of people who own a tablet:

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 150, \pi = \frac{120}{150} = 0.8$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.576$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.7159$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.8841$

Percentage:

Multiply the proportion by 100.

0.7159*100 = 71.59%

0.8841*100 = 88.41%

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

8 0

3 years ago

If p varies inversely with q, and p = 2 when q = 1, find theequation that relates p and q.​

If p varies inversely with q, and p = 2 when q = 1, find theequation that relates p and q.