Find the solution of cos^2xsinx-3sinx=0

Answers

Answer 1

Answer: $\cos^2 x\sin x-3\sin x=0\n\n \sin x\cdot (\cos^2 x-3)=0\n\n \begin{array}{rcl} \sin x=0&~\text{ or }~&\cos^2 x - 3=0\n\n \sin x=0&~\text{ or }~&\cos^2 x=3\n\n \sin x=0&~\text{ or }~&\cos x=\pm √(3) \end{array}$

Since $|\cos x|\le 1,$ the 2nd equation has no solutions for x. So

$\sin x=0\n\n x=k\pi~~~~\text{where }k\text{ is an integer.}$

Solution: $S=\{x:~x=k\pi,~k\in\mathbb{Z}\}$

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The sum of 15 and two times a number 29 what is the the number?

Answers

Let the number = x

It would be: 2x+15 = 29

2x = 14

x = 7

What is the mean for the following set of numbers? 66,85,98

Answers

Hello There!

Mean: Average number in a set of data.

STEP 1: Add up all the numbers in the set of data. In this case, we would add

66 + 85 + 98 = 249

STEP 2: Divide the sum by the number of digits you added. We would divide 249 "sum of numbers" by 3 "number of digits" and would get a quotient of 83.

-The mean for this set of data is 83-

83; add all the numbers,divide that by 3

f the sample size n=25, the sample mean = 10 and the sample standard deviation s=6, create the 90% confidence interval for the population mean and interpret it. A. The confidence interval is [7.52 ,12.48] and 90% of the population values fall in this interval. B. The confidence interval is [7.52 ,12.48] and there is a 90% chance that the population mean has a value that falls within this interval. C.The confidence interval is [7.95 ,12.05] and there is a 90% chance that the population mean has a value that falls within this interval. D. The confidence interval is [7.95 ,12.05] and 90% of the population values lie within this interval.

Answers

Answer:

(s/√n) is the standard error of the sample mean. If the sample size n=25, the sample mean = 10 and the sample standard deviation s=6, create the 90% confidence interval for the population mean and interpret it. A. The confidence interval is [7.52 ,12.48] and 90% of the population values fall in this interval.

If trigonometry is based on right triangles, how can we sensibly consider trigonometric ratios of angles greater than a right angle?

Answers

Sorry for the bad comment :(

In the exponential growth formula, P= (Psubscript0) (r) ^t , t represents...(A) the initial population
(B) the population after time
(C) the rate of increase
(D) the time

Answers

Answer:

It's D.

Step-by-step explanation:

D. The t s the time where t = 0 corresponds to the initial population.

A pool is being drained at a constant rate. The amount of water is a function of the number of minutes the pool has been draining, as shown in the table. Write an equation in slope-intercept form that represents the function. Then find the water in the pool after two and a half hours. Time (mi) 12--------20------50
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