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crimeas [40]
3 years ago
11

A sound wave is modeled with the equation y=1/4 cos 2pi/3theta. Find the period. Explain your method. Find the amplitude. Explai

n your method. What is the equation of the midline? What does it represent? Please help and explain this. I don't understand this at all!
Mathematics
1 answer:
alina1380 [7]3 years ago
3 0
You know the period of the cos function is <span>2π</span>, right? Every <span>2π</span> that the argument to cos goes through is one complete cycle. You've multiplied the argument by <span><span>2π</span>3</span> so that changes the period. If we had simply multiplied by 2, you would have 2 cycles per <span>2π</span> change in θ instead of the usual 1, and the period would be correspondingly halved. Can you figure out the new period in your equation? The amplitude is easy to find. The value of cos<span> varies from 1 to -1. You've multiplied it by 1/4. What will that do to the amplitude?</span>
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Which expression is equivalent to -18a^-2b^5/-12a^-4b^-6
crimeas [40]

Answer:

  c.  3a^2b^11/2

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

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 \dfrac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\dfrac{-18}{-12}a^{-2-(-4)}b^{5-(-6)}=\boxed{\dfrac{3a^2b^{11}}{2}}

3 0
3 years ago
Solve<br> 4(-5)(-2)(-3)<br> show your work&lt;3<br> no links
laila [671]

Answer:

<h2><em><u>-120</u></em></h2>

Step-by-step explanation:

4(-5)(-2)(-3)

= -20 × 6

= <em><u>-120 (Ans)</u></em>

5 0
3 years ago
Read 2 more answers
Use the rule for order of operations to simplify the expression as much as possible 67−4(3⋅8−10)=
PilotLPTM [1.2K]

67-4\cdot(3\cdot8-10)=67-4\cdot(24-10)=\\\\=67-4\cdot14=67-56=\boxed{11}

6 0
3 years ago
Why might a person need an emergency fund?
neonofarm [45]
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4 0
4 years ago
Imagine a recessive mutation in rabbits that causes wiry fur (whereas the dominant, normal allele causes fluffy fur). If two het
arsen [322]

Answer: the required probability is  0.03516

Step-by-step explanation:

Given the data in the question;

let F represent dominant allele that causes fluffy fur and

f represent corresponding recessive allele that causes wiry fur

here are the possible genotypes and corresponding phenotypes;

FF = Fluffy fur

Ff = Fluffy fur

ff = Wiry fur

genotype of parents is Ff and Ff

and there cross will be; Ff x Ff

now Offspring will be;

                                   F                      f

F                                FF                    Ff

f                                 Ff                     ff

so the probability that the offspring will have fluffy fur = 3/4

and the probability that the offspring will have wiry fur = 1/4

The probability that the first 2 out of 4 offspring will have fluffy fur will be;

⇒ 3/4 × 3/4 × 1/4 × 1/4 =  0.03516

 Therefore, the required probability is  0.03516

6 0
3 years ago
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