Someone help please

Find the sine of

Answer:

One possible combination:

[tex]p(x) = \sin(2\, \pi \, x) - 1[/tex].

[tex]\displaystyle q(x) = \frac{1}{2}[/tex].

[tex]\displaystyle \lambda(x) = \frac{1}{2}\, \sin(2\, \pi\, x) - \frac{1}{2} + 1 = \frac{1}{2}\, \sin(2\, \pi\, x) + \frac{1}{2}[/tex].

Step-by-step explanation:

The requirement that [tex]\lambda(x + 1) = \lambda(x)[/tex] for all [tex]x \in \mathbb{R}[/tex] suggests that [tex]\lambda[/tex] should be a cyclic function with a period of [tex]1[/tex].

One such example is the sine function. Let [tex]\omega[/tex] denote a non-zero real number. Consider the expression [tex]\sin(\omega\, x)[/tex].

[tex]\begin{aligned}\sin(\omega\, x) &= \sin(\omega\, x + 2\, \pi) \\ &= \sin\left(\omega\, \left(x + \frac{2\, \pi}{\omega}\right)\right)\end{aligned}[/tex].

Note how replacing [tex]x[/tex] with [tex]\displaystyle \left(x + \frac{2\, \pi}{\omega}\right)[/tex] does not change the value of [tex]\sin(\omega\, x)[/tex]. Therefore, the period of [tex]\sin(\omega\, x)\![/tex] would be [tex]\displaystyle \frac{2\, \pi}{\omega}[/tex].

The question requires that replacing the [tex]x[/tex] with [tex](x + 1)[/tex] should not change the value of [tex]\lambda(x)[/tex]. In other words, the period of [tex]\lambda[/tex] should be [tex]1[/tex]. If [tex]\lambda(x)\![/tex] is indeed in the form [tex]\sin(\omega\, x)[/tex], the value of [tex]\omega[/tex] should ensure that [tex]\displaystyle \frac{2\, \pi}{\omega} = 1[/tex]. Therefore, [tex]\omega = 2\,\pi[/tex].

It would take a few more transformations to ensure that for all integers [tex]n[/tex],[tex]\displaystyle \lambda(n) = 0[/tex] and [tex]\displaystyle \lambda\left(n + \frac{1}{2}\right) = 1[/tex].

One possible approach is to make each [tex]n[/tex] a trough of this function, and each [tex]\displaystyle\left(n + \frac{1}{2}\right)[/tex] a crest of this function. The corresponding sine wave would have a range of only [tex]1[/tex]. However, without any transformation, [tex]y = \sin(2\, \pi\, x)[/tex] would have a range of two.

Therefore, it would be necessary to compress [tex]y = \sin(2\, \pi\, x)[/tex] vertically by a factor of [tex]2[/tex], so that its range meets the needs.

[tex]y = \displaystyle \frac{1}{2}\, \sin(2\, \pi\, x)[/tex] is the output of one such compression and has the correct period and range. However, its troughs would be at [tex]y = -\displaystyle \frac{1}{2}[/tex] (rather than [tex]y = 0[/tex]) whereas its crests are at [tex]\displaystyle y = \frac{1}{2}[/tex] (rather than [tex]y = 1[/tex].) It would be necessary to shift this function upwards by [tex]\displaystyle \frac{1}{2}[/tex] unit for the troughs and crests to meet match the ones in the requirements.

[tex]\begin{aligned} y &= \displaystyle \frac{1}{2}\, \sin(2\, \pi\, x) + \frac{1}{2} \\ &= \frac{1}{2}\, \sin(2\, \pi\, x) - \frac{1}{2} + 1 = \frac{1}{2}\left(\sin(2\, \pi\, x) - 1\right) + 1\end{aligned}[/tex].

Answer:  Term

In math, a "term" is another word for "monomial".

If you add a bunch of monomials (or terms) together, you get a polynomial.

Answer:

Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed. I don't know exactly how to interpret the rest of the question. If r is a positive rational number and p is some positive real number, then sqrt(r^2 p) / sqrt(p) is always rational, being equal r. Possibly your question refers to situtions in which sqrt(c) is not uniquely determined, as for c negative real number or complex non-real number. In those situations a discussion is necessary. Also, in general expressions the discussion is necesary, because the denominator must be different from 0, and so on.

Step-by-step explanation:

Answer:

it is rational and equal to 4/2

i took the test. I hope i recieve brainliest. glad i could help you today

Answer:

This would mean Makayla worked a total of 15 hours and made $264. Which meets her requirements.

Step-by-step explanation:

If it takes 10 hours for 9 workers to mow 45 lawns, dividing the 45 lawns by 9 we see that in 10 hours one worker can mow 5 lawns. This means that in one hour, a single worker can mow 5/10=1/2 of a lawn

Answer:

-1.52380952381

Step-by-step explanation:

Answer:

-1.5238...

Step-by-step explanation:

I just did it on my calculator. Hope it helps!

Answer:

no

Step-by-step explanation:

If all of their coresponding angles will have the same measure (AAA Th. of symilarity) then thhey will be symilar

84.6+30.4+66=181 not 180

Answer:

153.94

Step-by-step explanation:

All are angle pair relationship, except consecutive exterior.

Answer:

3.3

Step-by-step explanation:

7lb 3oz

3oz/16oz=.1875lb

7lb+.1875lb=7.1875lb

7.1875lb/2.2kg=3.27kg

The final answer is 3.3 kg (round to the nearest tenth).

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

1 lb = 16 ounces

1 kg = 2.2 lb

To solve this type of questions, use ratio property,

Since,

16 ounces = 1 lb

⇒1 ounce = 1/16 lb

⇒3 ounces = 3/16 lb

Add 7 lb to 3/16,

= 3/16+7 = 7.1875 lb

Since,

2.2 lb = 1 kg

⇒1 lb = 1/2.2 kg

⇒7.1875 lb = 7.1875/2.2 kg = 3.267 kg

In round of the answer is 3.3 kg

To learn more about Ratio on :

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Answer:

Fourth Option

Step-by-step explanation:

In order to find the answer to this question you must find the common number and then divide the numerator and the denominator by that number.

[tex]\frac{15}{24}[/tex]

[tex]CN=3[/tex]

[tex]15\div3=5[/tex]

[tex]24\div3=8[/tex]

[tex]=\frac{5}{8}[/tex]

Hope this helps.

Answer:

Her Z score is 1.25

Step-by-step explanation:

Answer:

Question 3: y =x+2

Step-by-step explanation:

to find the equation use y=mx+c where m is the gradient/slope and c is the y intercept. In example 3, the y intercept is 2 so thats why the equation ends in +2, and the slope which is calculated by rise over run, is 2 over 2, or 1 so x doesnt need a coefficient.

Answer:

That is not a function ( because of the repeating number which is the 1.)

Domain: 1,2,4

Range:2,4,-3,6

Answer:

domain first no.before comma

1 2 1 4

range send no. after comma

2 4 -3 6

Answer: raging river kayaks -63

paddlers-47

Step-by-step explanation: Hope its right

Answer: is, cost for,  raging river kayaks -63 & paddlers-47.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

from the given chart we get,

the equation for raging river kayaks is, x= 9y

the equation for  paddlers is, x= n+1

i.e. for 7 hrs. cost is, 63 & 47 respectively.

Hence, Answer: is, cost for,  raging river kayaks -63 & paddlers-47.

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Answer:

Step-by-step explanation:

equation 1.      6a + 2b = 14   ( times this equation by -2)

equation  2.      2a + 4b = 18

equation 1 becomes    -12a - 4b = -28

equation 2. remains.    2a  + 4b  = 18

Cancel out the b’s

-10 a =  -10   (Divide both sides by -10)

a = 1

substitute 1 for a  to find b

i think your numbers in the problem you gave is not accurate though

please check it again

b = 4

Answer: $801

Step-by-step explanation:

to find the slope, you can divide 445÷5=89. (now we know that the rate is $89/1 month)

to find the cost of 9 months, multiply 89•9=801

so since it's asking the cost after 9 months, i think the answer should be $801.

Answer:

69

Step-by-step explanation:

Answer:

x=5

Both are vertical lines and parallel to each other.

Answer:

Getting my point back lol

Step-by-step explanation:

Answer:20

Step-by-step explanation:

each on costs 10$

Answer: 8 dollar

Step-by-step explanation:

5 notebook = 20$

So if we divide 20/5 = 4

Which is the cost per notebook

So if 1 notebook = 4$

2 notebook = 8$

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]8.2\times \frac{6.7}{0.46}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]

[tex]=\frac{6.7\times \:8.2}{0.46}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:6.7\times \:8.2=54.94[/tex]

[tex]=\frac{54.94}{0.46}[/tex]

[tex]=100[/tex]        (Round to 1 significant number)

Step-by-step explanation

80+80=1660 so we add the number together then agter times then after take away the number and use the nu

Answer:

4.5$

Step-by-step explanation:

25 times .18 = 4.5$

Answer:

6

Step-by-step explanation:

[tex] {4}^{2} - (x + 8)[/tex]

[tex] {4}^{2} - (2 + 8)[/tex]

[tex] {4}^{2} - 10[/tex]

[tex]4 \times 4 - 10[/tex]

[tex]16 - 10[/tex]

[tex] = 6[/tex]

Answer:

2 hours

Step-by-step explanation:

Answer:

do it in thirds so 10/6 and 5/6 now simplify = 2/6= 1/6 of the story so full story would be 12/6=6/3=2 hours

Step-by-step explanation:

Answer:

Third option

Step-by-step explanation:

In order to find the answer to this question you must change the mixed number into a improper fraction and then multiply the numerators to the denominators.

[tex]7\times4\frac{5}{8}[/tex]

Remember that all numbers have a invisible one as the denominator:

[tex]7=\frac{7}{1}[/tex]

[tex]\frac{7}{1} \times4\frac{5}{8}[/tex]

Turn the mixed number into a improper fraction:

[tex]8\times4=32+5=37[/tex]

(Remember to keep the denominator the same)

[tex]=\frac{37}{8}[/tex]

Now multiply:

[tex]7\times37=259[/tex]

[tex]1\times8=8[/tex]

[tex]=\frac{259}{8}[/tex]

Turn the improper fraction into a mixed number:

[tex]\frac{259}{8} =32\frac{3}{8}[/tex]

[tex]=32\frac{3}{8}[/tex]

Hope this helps.