solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x

Answers

Answer 1

Answer:

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer 2

Answer:x=π/6,11π/6

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6


Related Questions

WILL GIVE BRAINLIEST! How many possibilities of HELPS are there?

Answers

Answer:

8 helpd

Step-by-step explanation:

i know it iv had probability b4

Helppppppppppppppppppppppppppppppppppp

Answers

Answer:

acute.... ....... .. . ......

Correct answer is C. Acute angle

What is the consumer price index

Answers

Answer:

The Consumer Price Index (CPI) is a measure of the average change over time in the prices paid by urban consumers for a market basket of consumer goods and services.

Step-by-step explanation:

4. Celina babysat for 5 hours and earned $27. what's her pay per hour?​

Answers

Celina earns $5.4 per hour.


CYU/LP 15-1&2 SIMILAR FIGURES
5 of 7 5 of 7 Items


What is the common ratio(scale factor) of side AD to side WZ?
4/8
4/6
15/6
5/2

Answers

Answer:

Option 4

Step-by-step explanation:

Both the quadrilaterals are similar,

ABCD ~ WXYZ

Therefore, ratio of the corresponding sides will be constant in other words ratio of the corresponding sides will be common.

Scale factor = [tex]\frac{AD}{WZ}[/tex]

                    = [tex]\frac{15}{6}[/tex]

                    = [tex]\frac{5}{2}[/tex]

Therefore, option (4) will be the correct option.

An investigator wishes to estimate the mean number of flight hours of pilots who fly for regional airlines. Assuming that the standard deviation of the number of hours is 120 hours, the minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about

Answers

Answer:

The minimum sample size needed is 39.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assuming that the standard deviation of the number of hours is 120 hour

This means that [tex]\sigma = 120[/tex]

The minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about?

The minimum sample size needed is n.

n is found when [tex]M = 50[/tex]

So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]50 = 2.575\frac{120}{\sqrt{n}}[/tex]

[tex]50\sqrt{n} = 2.575*120[/tex]

[tex]\sqrt{n} = \frac{2.575*120}{50}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*120}{50})^2[/tex]

[tex]n = 38.19[/tex]

Rounding up

The minimum sample size needed is 39.

Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10 T. (1.9)
-10
(0, 0)
10
-101
O A. y=-*
O B. y= 18x
O C. y=9x
O D. y= -18x
1
X
O E. y = 5
O F. y=-9x
SUBMIT

Answers

The equation for the following line is E.

The equation of the line is y = 9x. The correct answer is C.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

the points of line are (1,9) and (0,0).

Now,

In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:

m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9

Then we can use the point-slope form with any of the given points. Let’s use (0, 0):

y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x

This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.

Therefore, the equation of the line will be y = 9x.

Learn more about equations here;

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make up a new animal that can do some incredible thing. write a short description of that animal and its special capability compared to it's size. write a proportion question regarding your size and what you could be

Answers

Answer:

Dragon, legendary monster usually conceived as a huge, bat-winged, fire-breathing, scaly lizard or snake with a barbed tail. The belief in these creatures apparently arose without the slightest knowledge on the part of the ancients of the gigantic, prehistoric, dragon-like reptiles

Learning Check Evaluate Algebraic Expressions Substitute for the given values. Then, solve using the order 2x + 10 when x = 5​

Answers

Answer:

20

Step-by-step explanation:

2(5)+10=20

[tex]\huge \colorbox{pink}{Mathematics}[/tex]

2x + 10 when x = 5

Solution

[tex]2x + 10 \\ = 2(5) + 10 \\ = 10 + 10 \\ = 20[/tex]

Answer: 20

Correct me if I'm wrong

I hope it helps ^_^

I NEED HELP ASAP PLEASEEEE!!!!! The total surface area of the triangular prism is

Answers

Answer:

560

Step-by-step explanation:

How many 1- foot rulers laid end to end would it take to equal 9 yards?

Answers

Answer: 27

Step-by-step explanation: hope this help

Simplest form of a3b3c a-3b-3c-1

Answers

Answer:

a-6b-6c-2

Step-by-step explanation:

For each function, find f(−x) and −f(x) and then determine whether it is even, odd, or neither. Justify your answer. f(x)=2x^2-7x+10

Answers

The function f(x) = 2x² - 7x + 10 is an odd function.

f(-x) = 2(-x)² - 7(-x) + 10

      = 2x² + 7x + 10

-f(x) = -[2x²- 7x + 10]

      = -2x² + 7x - 10

To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).

1. f(-x) = 2x² + 7x + 10

2. -f(x) = -2x² + 7x - 10

To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.

1. f(-x) = 2x² + 7x + 10

         = f(x) (not equal to -f(x))

Since f(-x) is not equal to -f(x), the function is not even.

Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.

2. -f(x) = -2x² + 7x - 10

        = -(2x² - 7x + 10)

        = -(f(x))

Since -f(x) is equal to -(f(x)), the function is odd.

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Why is 10^5/10^4 equal to 10^11? Explain or show your thinking

Answers

Answer:

It does not because if you solve the first equation you get 10 so it will not equal to 10^11

Step-by-step explanation:

What is the difference of the two expressions shown below (3/4X+2)-(1/4x+5). Explain why

A. 1/2x + 7

B. x + 7

C. 1/4X - 3

D.1/2x - 3

Answers

Answer:

D. 1/2x - 3

Step-by-step explanation:

(3/4x + 2) - (1/4x + 5) =3/4x - 1/4x + 2 - 5 = 2/4x - 3 = 1/2x - 3

Correct choice is D

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

Step-by-step explanation:

Find the future value and interest eared if $8906.54 is invested for 8 years at 5% compounded semiannually

Answers

Answer:

ummm yes 19293

Step-by-step explanation:

Write a rule to describe the transformation.
A(-2,-2), B(-3,2), C(-2,2), D(3,0)
A(-3,-3), B'(-4.5,3), C'(-3,3), D'(4.5,0)

Answers

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

What's The Strangest Thing In Your Refrigerator?

Answers

Answer:

a bottle of eye juice lol no explanation

Step-by-step explanation:

help me!!!!!!!!!!!!!
8/7 ( x - 100/220) + 4 ( x + 8/9) = 38

Answers

X = 53/3762 I’m guessing!

Question 3
Convert the following proportion score to a percentage: .3852

Answers

Answer:

The percentage score is 38.52%

Step-by-step explanation:

Conversion of a proportion to a percentage:

To convert from a proportion to a percentage, we multiply by 100%, that is, the decimal point is moved two positions to the right, and the percentage sign is placed in the number.

In this question:

Proportion .3852

0.3852*100% = 38.52%

The percentage score is 38.52%

Emily has a box shaped like a rectangular prism that is full of sugar cubes. Each sugar cube has a volume of 1 cubic centimeter. The top layer has a width of 6 cm and a length of 11 cm. There are 3 layers of sugar cubes.​

Answers

Answer:

198

Step-by-step explanation:

11x6=66x3=198

Hope this helps! :)

Joe's math homework took 20 minutes to complete. If Joe finished his homework at 8:40 P.M., what time did he start his homework?

Answers

He started at 8:20 PM
he started at 8:20pm

Use the Quadratic Formula to solve the equation x^2-15=2x

Answers

Answer:

x= -3

y= 5

Explanation:

Move the 2x to the left by subtracting it by itself

you should get x^2 -15 - 2x =0

That's it in standard form

Please please help please

Answers

Answer: 72 feet

Step-by-step explanation:

24 yards= 72 feet

72 feet bc that equals that

find the lateral surface area of the prism. geometry hw

Answers

Answer:

250

Step-by-step explanation:

Hello There!

The prism shown is a pentagonal prism

And we need to find the lateral surface area ( pretty much area of everything except for the bases.)

We can calculate the lateral surface area by using this formula

[tex]la=5ah[/tex]

where a (on the right hand side) equals the base edge length and h = height

(btw the 5 represents the number of sides)

so the base edge length of the shown figure is 5 and the height is 10

having found this information we plug it into the formula

[tex]la=5*5*10\\10*5=50\\50*5=250[/tex]

so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²

Microsoft wants to administer a satisfaction survey to its current customers. Using their customer​ database, the company randomly selects 50 customers and asks them about their level of satisfaction with the company. What type of sampling is​ used? A. Systematic B. Convenience C. Simple random D. Cluster E. Stratified

Answers

Answer:

Simple random

Step-by-step explanation:

There are various methods which may be employed when we intend to select a certain few from a larger group of subjects. The simple random sampling may be described as the most basic form of random sampling whereby a smaller group or subset is chosen from the larger population entirely by chance (each subject or member of the population has equal chances of being selected). A simple random sampling, the larger group isn't partitioned or subdivided prior to selection, the subsets are just selected as they are. In the scenario above, the database is the population and the 50 samples are selected directly from the database without splitting or prior partioning of the population data.

Use a calculator to find the natural logarithm, base e.

In 744.1

Answers

Answer:

6.612175434403215

Step-by-step explanation:

This one is quite easy to solve, depending on your calculator click shift over the log function and then natural log will pull up and then you just put in 744.1

Professor Gym conducts a study in which he determines that there is a correlation of​ +1.32 with 15 degrees of freedom between the speed of a dodge ball and the welt inflicted on the arm of the dodge ballers. He has now come to you for help with interpreting his results. What can you tell​ him?

Answers

Answer:

Formula

r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}

r = correlation coefficient

x_{i} = values of the x-variable in a sample

\bar{x} = mean of the values of the x-variable

y_{i} = values of the y-variable in a sample

\bar{y} = mean of the values of the y-variable

now try btw use a calcutator

The percentage of married couples who own a single family home is 33% for a given population. A financial analyst is interested in the impact that home mortgages have on a couple's finances. As the financial analyst sets up a study, they are curious about the impact of sample size. What is the standard error of the sampling distribution of sample proportions for samples of size n=200, n=300, and n=400? Round all answers to the nearest thousandths if applicable.

Answers

Answer:

For samples of size n=200, the standard error is of 0.033.

For samples of size n=300, the standard error is of 0.027.

For samples of size n=400, the standard error is of 0.024.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The percentage of married couples who own a single family home is 33% for a given population.

This means that [tex]p = 0.33[/tex]

Samples of 200:

[tex]s = \sqrt{\frac{0.33*0.67}{200}} = 0.033[/tex]

For samples of size n=200, the standard error is of 0.033.

Samples of 300:

[tex]s = \sqrt{\frac{0.33*0.67}{300}} = 0.027[/tex]

For samples of size n=300, the standard error is of 0.027.

Samples of 400:

[tex]s = \sqrt{\frac{0.33*0.67}{400}} = 0.024[/tex]

For samples of size n=400, the standard error is of 0.024.

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