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Nataly [62]
2 years ago
5

What is sin -1(1/2) if the terminal side of 0 is located in quadrant 1.

Mathematics
1 answer:
kotykmax [81]2 years ago
4 0

Answer:

30

Step-by-step explanation:

\sin^{-1}(\theta) is going to output a number in between \frac{-\pi}{2} and \frac{\pi}{2}.

Luckily you are looking for \theta in the 1st quadrant which is contained in the given interval above, so the answer just comes down to what the calculator returns from entering \sin^{-1}(\frac{1}{2}) in your calculator.

You may also use the unit circle.  sine value refers to the y-coordinate on there.

So you are looking for when the y-coordinate is 1/2 in the fist quadrant which is at 30 degrees.

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The daily profit P ​(in thousands of​ dollars) from the sale of televisions is a function of the number x of televisions sold ​(
scZoUnD [109]

Answer:

The break-even sales amounts​ is 36 or 224.

Step-by-step explanation:

Consider the provided function.

P= -5x^2 + 13x - 4

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts​.

the​ break-even sales amounts​ is the sales amounts that result in no profit or​ loss.

That means substitute P=0 and solve for x.

-5x^2 + 13x - 4=0

5x^2-13x+4=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a=4, b=-13 and c=4 in above formula.

x_{1,\:2}=\frac{-\left(-13\right)\pm \sqrt{\left(-13\right)^2-4\cdot \:5\cdot \:4}}{2\cdot \:5}

x_{1,\:2}=\frac{13\pm\sqrt{169-80}}{10}

x_{1,\:2}=\frac{13\pm\sqrt{89}}{10}

x=\frac{13+\sqrt{89}}{10},\:x=\frac{13-\sqrt{89}}{10}\\x\approx2.243, \ or\ x\approx 0.357

Therefore, the break-even sales amounts​ is 36 or 224.

7 0
3 years ago
Ter 1: Solving Simple Equation Solve x +5 = 8.​
Andru [333]

Answer:

3

Step-by-step explanation:

Step 1:

x + 5 = 8

Step 2:

x = 8 - 5

Answer:

x = 3

Hope This Helps :)

3 0
3 years ago
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ahrayia [7]

Answer:

32.55

Step-by-step explanation:

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3 years ago
What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 En
marusya05 [52]

Answer:

-2  1/2

Explanation :

took the test on ed

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2 years ago
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Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, w
Savatey [412]

Answer:

a. y= 130x + 350 + \epsilon

b. The symbol y-bar represents the average price of hotels in the area

Step-by-step explanation:

a. The regression line equation is given by:

y=\alpha x + \beta + \epsilon

Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,

\alpha = 130 y \beta = 350  Obtaining:

y= 130x + 350 + \epsilon.

b.  In a simple linear regression model the value of y-bar represents the average of all values ​​of y observed. Thus, since y represents the prices of the hotels, then y-bar is the average price of hotels in the area.

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2 years ago
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