I need to know what this answer is

Please help! what is the polar equation r = -5 theta in parametric form?<br><br> thank you!

Rudiy27

Use these equations when converting polar equations to parametric equations:

$x=r\cos\theta$

$y=r\sin\theta$

We know that $r=5\theta$ , so substitute that into both equations for x and y.

$x=5\theta\cos\theta$

$y=5\theta\sin\theta$

Now, replace $\theta$ with any variable that you want to represent the parametric equations in. I'll use the standard variable, $t$

$x=5t\cos t$

$y=5t\sin t$

Thus, $r=5\theta$ represented in parametric form is:

$(x,y)=(5t\cos t, 5t \sin t)$

Let me know if you need any clarifications, thanks!

~ Padoru

4 0

3 years ago

A paint store sells exterior paint for $35.75 a gallon and paint rollers for $6.00 each. Write an equation in standard form for

VLD [36.1K]

The total price for the gallons of paint will be 35.75p

The total price for the rollers will be 6r

So the equation if the customer have 190 will be
price for gallons of paint + price for rollers = 190
35.75p + 6r = 190
<em>(This is the equation)</em>

3 0

3 years ago

Find the interest due on &1,400 at 9% for 270 days

Dimas [21]

Answer:
Interest = $93.205

Explanation:
Interest can be calculated as follows:
I = Prt
where:
I is the interest we want to canlculate
P is the principle amount = $1400
r is the interest rate in decimal = 9% = 0.09
t is the time in years = 270/365

Substitute with the givens in the above equation to get the value of the interest as follows:
I = 1400 * 0.09 * (270/365)
I = $93.205

Hope this helps :)

6 0

4 years ago

Suppose that a local TV station conducts a survey of a random sample of 120 registered voters in order to predict the winner of

forsale [732]

Answer:

a) The 99% CI for the true proportion of voters who prefer the Republican candidate is (0.3658, 0.6001). This means that we are 99% sure that the true population proportion of all voters who prefer the Republican candidate is (0.3658, 0.6001).

b) The upper bound of the confidence interval is above 0.5 = 50%, which meas that the candidate can be confidence of victory.

Step-by-step explanation:

Question a:

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 $1 - \frac{\alpha}{2}$ .

Sample of 120 registered voters in order to predict the winner of a local election. The Democrat candidate was favored by 62 of the respondents.

So 120 - 62 = 58 favored the Republican candidate, so:

$n = 120, \pi = \frac{58}{120} = 0.4833$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a p-value of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4833 - 2.575\sqrt{\frac{0.4833*0.5167}{120}} = 0.3658$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4833 + 2.575\sqrt{\frac{0.4833*0.5167}{120}} = 0.6001$

The 99% CI for the true proportion of voters who prefer the Republican candidate is (0.3658, 0.6001). This means that we are 99% sure that the true population proportion of all voters who prefer the Republican candidate is (0.3658, 0.6001).

b. If a candidate needs a simple majority of the votes to win the election, can the Republican candidate be confident of victory? Justify your response with an appropriate statistical argument.

The upper bound of the confidence interval is above 0.5 = 50%, which meas that the candidate can be confidence of victory.

8 0

3 years ago

5u-2u=..................................................

MAVERICK [17]

It will be 3u good luck

8 0

3 years ago