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3 years ago

Can someone help me?

Mathematics

1 answer:

miss Akunina [59]3 years ago

3 0

Answer:

Step-by-step explanation:

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HELP A FELLA OUT Please

Vanyuwa [196]

I'll write "x" instead theta.

sin x + 1 = cos(2x)

formula: cos(2x) = 1 - 2sin²x

sin x + 1 = 1 - 2sin²x

2sin²x + sin x = 0

sin x (2sin x + 1) = 0

sin x = 0 or sin x = -1/2

x1 = πk and x2 = -π/6 + 2πk and

x3 = 5π/6 + 2πk

for domain 0≤x<2π :

x1 = 0 (for k=0 in x1)

x2 = π (for k=1 in x1

x3 = 11π/6 (for k=1 in x2)

x4 = 5π/6 (for k=0 in x3).

k is an integral.

8 0

2 years ago

FP!<br> what is 50 + 20

meriva

50+20=70

Have a great day:)

4 0

2 years ago

Read 2 more answers

-2/9x+(-7/9y)+(-7/10x+(-2/3)

coldgirl [10]

Step-by-step explanation:

=-32-9 08 3X-97y

9- 2⋅ x+9- 7⋅ y+(1 0- 7⋅ x+3- 2)

5 0

2 years ago

1) For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

Gelneren [198K]

Answer:

Yes, "y" varies directly with "x".

The equation is: $y=1.375x$

Step-by-step explanation:

By definition, Direct variation equations have the following form:

$y=kx$

Where "k" is the Constant of variation.

If you solve for "k", the equation is:

$k=\frac{y}{x}$

Then, given the table provided in the exercise, you can know if "y" varies directly with "x" by finding the quotient of the correspoding values of "x" and "y":

- Dividing $y=11$ by $x=8$ you get:

$\frac{11}{8}=1.375$

- Divide $y=22$ by $x=16$ :

$\frac{22}{16}=1.375$

- Dividing $y=33$ by $x=24$ :

$\frac{33}{24}=1.375$

Since the quotient is constant, then "y" varies directly with "x" and the the Constant of variation is:

$k=1.375$

Therefore, the equation for the Direct variation is:

$y=1.375x$

8 0

3 years ago

According to the U.S. National Transportation Safety Board, the number of airline accidents by year from 1983 to 2006 were 23, 1

Lera25 [3.4K]

Answer:

$\bar X= 33.79167$

$s= 12.06497$

$SE= \frac{s}{\sqrt{n}}= \frac{12.06497}{\sqrt{24}}=2.463$

$Median= \frac{30+31}{2}= 30.5$

Step-by-step explanation:

For this case we have the following data:

23, 16, 21, 24, 34, 30, 28, 24, 26, 18, 23, 23, 36, 37, 49, 50, 51, 56, 46, 41, 54, 30, 40, and 31

We can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= 33.79167$

Then we can calculate the standard deviation with this formula:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s= 12.06497$

And the sample size for this case is n =24. We can calculate the standard error with this formula:

$SE= \frac{s}{\sqrt{n}}= \frac{12.06497}{\sqrt{24}}=2.463$

And the median for this case since the sample size is 24 first we need to sort the data on increasing order and we got:

16 18 21 23 23 23 24 24 26 28 30 30 31 34 36 37 40 41 46 49 50 51 54 56

And for this case the median would be the average from the position 12 and 13 and we got:

$Median= \frac{30+31}{2}= 30.5$

4 0

3 years ago

Can someone help me?​

Can someone help me?