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LekaFEV [45]
2 years ago
13

Find a function ω(x) such that the function f(x) = sin(ω(x)) has the roots at π, π2

Mathematics
1 answer:
atroni [7]2 years ago
8 0

So, I came up with something like this. I didn't find the final equation algebraically, but simply "figured it out". And I'm not sure how much "correct" this solution is, but it seems to work.

f(x)=\sin(\omega(x))\\\\f(\pi^n)=\sin(\omega(\pi^n))=0, n\in\mathbb{N}\\\\\\\sin x=0 \implies x=k\pi,k\in\mathbb{Z}\\\Downarrow\\\omega(\pi^n)=k\pi\\\\\boxed{\omega(x)=k\sqrt[\log_{\pi} x]{x},k\in\mathbb{Z}}

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The student council wants to rent a chocolate fountain for an overnight dance-a-thon. Their budget allows them to spend a maximu
vekshin1
$125 is a "must budget" so it will be the constant in the inequality

The fountain is $30 per hour. If they spend x hours, then their budget for fountain will be
fountain = 30x

The inequality
Their budget is maximum $250, that means they are able to spend less than or equal to $250
constant + fountain ≤ 250
125 + 30x ≤ 250
<em>This is the inequality expression</em>
6 0
3 years ago
Read 2 more answers
Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!
I am Lyosha [343]

Answer:

13 l of 15%, 13 l of 25%, 26 l of 70%

Step-by-step explanation:

solutions:

  • 15%, 25% and 70%

final solution:

  • 52 l of 45%

This includes 0.45*52l= 23.4 l acid

Let's assume:

  • amount of 15% solution= x
  • amount of 25% solution= y
  • amount of 70% solution= z
  • and we have z=2y

so there are 2 equation:

  • x+y+z=52
  • 0.15x+0.25y+0.7z=23.4

or

  • x+y+2y= 52 ⇒ x+3y= 52 ⇒ x= 52- 3y
  • 0.15x+0.25y+1.4y=23.4
  • 0.15x+1.65y=23.4
  • 0.15*(52-3y)+1.65y=23.4
  • 7.8-0.45y+1.65y=23.4
  • 1.2y=23.4-7.8
  • 1.2y= 15.6
  • y=15.6/1.2
  • y= 13 l

--------

  • x= 52- 3*13= 13 l
  • z= 2y= 2*13= 26 l
6 0
3 years ago
A little help here lol
inysia [295]

Answer:D

Step-by-step explanation:

It’s asking for it’s opposite

4 0
2 years ago
Read 2 more answers
Solving for an Unknown Using the Distributive Property
ArbitrLikvidat [17]

<em><u>Complete Question:</u></em>

The equation a= 180(n-2)/n represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?

<em><u>Answer:</u></em>

The numerator of fraction is -360

<em><u>Solution:</u></em>

Given that,

<em><u>The equation represents the angle measures, a, in a regular n-sided polygon is:</u></em>

a = \frac{180(n - 2)}{n}

We have to solve the equation for "n"

Rearrange the equation

a \times n = 180(n - 2)\\\\a \times n = 180n - 360\\\\an - 180 n = -360\\\\Take\ n\ as\ common\ factor\\\\n(a-180) = -360\\\\n = \frac{-360}{a - 180}

Thus the numerator of the fraction is -360

4 0
2 years ago
6 bags of plaster do 33m2 how many m2 can be done with 5 bags
pav-90 [236]
<span>6 bags of plaster do 33m2
5 bags .........................?

33 * 5 / 6 = 27.5

answer: 27.5</span><span>m2</span>
8 0
3 years ago
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