I need help with this math question:Solve. Sin^2x-Sinx=0

I got 0,90,180,270 and 360 degrees. Anyone know if that's right

Answers

Answer 1

Answer: $\n sin^2(x)-sin(x)=0 \n sinx(sinx-1)=0 \n \n sinx=0 \n x= \pi k~~k \in Z \n x=0 \n \n sin(x)-1=0 \n sin(x)=1 \n x= ( \pi )/(2) +2 \pi k~~k \in Z$

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Find the solution to the following equation by transforming it into a perfect square trinomial.x2 – 12x = 13

   {46, 55}
       {–1, 13}
       {–15, 27}
       {–21, 33}

Answers

$x^(2) -12x=13\ \ \ \Leftrightarrow\ \ \ x^2-2\cdot x\cdot 6+6^2-6^2=13\n\n \Leftrightarrow\ \ \ (x-6)^2=13+36\ \ \ \Leftrightarrow\ \ \ (x-6)^2=49\ \ \ \Leftrightarrow\ \ \ (x-6)^2=7^2\n\nx-6=7\ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x-6=-7\n\nx=13\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-1\n\nAns.\ x\in \{-1,\ 13\}$

x² -12x = 13 way to obtain 36 > (-12/2)² = 36
x² -12x + 36 =13 +36 since we add 36 to the left,we must also add 36 to the right
(x-6)² = 49
x-6 = 7
x = 7 + 6 = 13 or -7 + 6 = -1
x = -1 or 13

One of the three economic questions deals with deciding

Answers

One of the three economic questions deals with deciding what goods and services must be produced from available resources.

Here are the Three Main Economic Questions
1) Who consumes the goods and services produced in society?
2) What goods and services must be produced in society?
3) How should goods and services be produced in society?

These questions are very important because it deals on how available resources are allocated to produce essential goods and services demanded by consumer

One of the three economic questions deals with deciding what to produce.

One of the three fundamental economic questions deals with deciding what to produce. These three questions are at the core of economics and are often referred to as the "Three Economic Questions." They are:

1. What to produce: This question relates to the allocation of resources and decisions about what goods and services should be produced in an economy. It involves determining which products are in demand and should be prioritized.

2. How to produce: This question concerns the methods and technologies used to produce goods and services. It involves choices about production processes, technology, and resource allocation.

3. For whom to produce: This question focuses on the distribution of goods and services among the members of society. It addresses issues of equity and fairness, as it pertains to who gets access to the produced goods and services.

These three questions are central to the field of economics and are critical in understanding how societies allocate resources, make production decisions, and distribute the resulting output. The answers to these questions can vary depending on economic systems, government policies, and societal values.

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Complete Question:

One of the three economic questions deals with deciding ____________.

How far is the star away from the earth in AU?

Answers

Final answer:

The average distance between a star and Earth is typically measured in astronomical units (AU), which is the average distance between Earth and the Sun. To calculate the distance in AU, divide the star's distance in kilometers or miles by the average distance between Earth and the Sun.

Explanation:

The average distance from the Earth to a star is typically measured in astronomical units (AU). An astronomical unit is defined as the average distance between the Earth and the Sun, which is about 149.6 million kilometers or 93 million miles.

To calculate the distance to a star in AU, you need to determine the star's distance in kilometers or miles and then convert it to AU. For example, if a star is 900 million kilometers away, you divide that distance by the average distance between the Earth and the Sun to get the distance in AU. In this case, the star would be approximately 6 AU away from Earth.

It's important to note that the distances between stars and Earth are incredibly vast, so even a distance of a few AU is still very far.

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7a – b = 15a, for a does anyone have a clue what this is

Answers

welp its kinda easy you are trying to get b so 7a-7a 15a-7a equals 8a

Im new here, Could anyone help me

Log (10-4x) = log (10-3x)

Answers

$D:\n10-4x > 0\ \wedge\ 10-3x > 0\n-4x > -10\ \vee\ -3x > -10\n\nx < (10)/(4)\ \wedge\ x < (10)/(3)\n\nx < 2(1)/(2)\ \wedge\ x < 3(1)/(3)\n\nx\in(-\infty;\ 2(1)/(2))$

$log(10-4x)=log(10-3x)\iff10-4x=10-3x\n\n-4x+3x=10-10\n\n-x=0\ \ \ /\cdot(-1)\n\nx=0\in D\n\nSolution:x=0$

$\log (10-4x) = \log (10-3x) \n D:10-4x>0 \wedge 10-3x>0\n D:4x<10 \wedge 3x<10\n D:x<2.5 \wedge x<3(1)/(3)\n D:x<2.5\n 10-4x=10-3x\n x=0$

Below is the graph of f9x0= 2in(x) how would you describe the graph of g(x) = 4in(x)?

Answers

Please, next time, please share the graph referred to in the problem statement.

You are comparing f(x)=2 ln x and g(x) = 4 ln x. The two graphs look the same, except that the amplitude (rise) in 4 ln x is exactly twice that in 2 ln x.

Thus, if 2 ln x = 3, 4 ln x = 2(3) = 6.

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