1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Artemon [7]
2 years ago
9

Please help!! 15 points!!

Mathematics
2 answers:
Shkiper50 [21]2 years ago
6 0

Here's the solution in attachment :

vampirchik [111]2 years ago
3 0

- 1 =  - 3 - 4 \cos(4θ +  \frac{2\pi}{3} )  \\  - 1 + 4 \cos(4θ +  \frac{2\pi}{3} )  =  - 3 \\ 4 \cos(4θ +  \frac{2\pi}{3} )  =  - 3 + 1 \\ 4 \cos(4θ  + \frac{2\pi}{3} )  =  - 2 \\  \cos(4θ  + \frac{2\pi}{3} )  =  -  \frac{1}{2}  \\  \cos(4θ +  \frac{2\pi}{3} )  =  -  \frac{1}{2}  \\  \cos(2\pi - (4θ +  \frac{2\pi}{3} ))  =  -  \frac{1}{2}  \\ 4θ +  \frac{2\pi}{3}  = arccos( -  \frac{1}{2} ) \\  \cos( \frac{4\pi}{3}  - 4θ)  =  -  \frac{1}{2}

You might be interested in
Round 82.265 to the nearest whole number.
Zinaida [17]
83.................................

7 0
3 years ago
Given the function f(x) = 0.65x + 117, what<br> s the x-value of the zero?
swat32

Answer:

x = -180

Step-by-step explanation:

0 = 0.65x + 117

-117 = 65x/100

cross-multiply to solve for 'x':

65x = -11700

x = -11700/65

x = -180

8 0
2 years ago
Plsssss helppppppp because I am v confused​
Allisa [31]
The simplified version of this expression is 110g^4h^16v^6. first, remove the parenthesis. the expression becomes 10g^3h^8v^6 times 11gh^8. then, calculate the product.
4 0
2 years ago
Need ASAP plz help!! These are the numbers you use. <br>15 27 28 31 34 42 52
Dahasolnce [82]

im sorry but did you ever get the answer?


6 0
2 years ago
A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.
denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let \mu = <u><em>population mean light bulb life.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 500 hours      {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, H_A : \mu < 500 hours     {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                           T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean bulb life = 490 hours

           σ = population standard deviation = 50 hours

           n = sample of light bulbs = 100

So, <u><em>the test statistics</em></u>  =  \frac{490-500}{\frac{50}{\sqrt{100} } }

                                     =  -2

The value of z test statistics is -2.

<u>Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.</u>

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis.</u>

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0
3 years ago
Other questions:
  • Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?
    5·1 answer
  • Find the domain of the expression: <br><br> the square root of x+8
    15·2 answers
  • Help please pronto!!! Please ignore my handwriting and the lighting!!!
    10·1 answer
  • Other than airfare and ground travel, what are some other expenses to consider while travelling?
    10·2 answers
  • Solve the equation for x. x-3/4=12
    12·2 answers
  • You can write ratio in three different ways​
    14·1 answer
  • PLEASE HELP PLEASE SHOW WORK<br> PUT 15 YEARS OLD <br><br><br><br> P.S I'M NOT 15
    14·1 answer
  • the area of a circle is 81 pi m^2. what is the circumference, in meters? express your answer in terms of pi.
    12·1 answer
  • need help nooooooooooooow what is 12349898 x 989888989-123876 i just made that up but if you can solve is u are awesome
    8·2 answers
  • Evaluate the expression for x = 2 and y = - 7.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!