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What is the period and frequency of the function graphed and how would the equation be written??

MAX POINTS PLEASE HELP Will Make BrainliestWhat Is The Period And Frequency Of The Function Graphed And

Answers

Answer 1

Answer:

Period: 6, Frequency: 1/6, Equation: -4cos([tex]\frac{\pi }{3}x[/tex])-2

Step-by-step explanation:

Because the graph starts at x = 0 at a minimum/maximum, it's easiest to use cosine, so we don't have to shift the graph horizontally. cos(x)

If you take the max/min points and average them, you can use the distance between the average value and the max/min to get the total amplitude, A, which is 4.

Because this function starts at a minimum, but cosine starts at a maximum, we will flip it vertically by adding a negative coefficient to whatever the amplitude is.

We see that the same part of the graph recurres every 6 x-units, so the period is 6. The frequency of this is 1/(period), 1/6.

The coefficient of x in a sin/cos function is [tex]2\pi /Period[/tex], = [tex]\pi[/tex]/3.

The vertical shift (how much the average value of the function moved from 0 to its current position) is -2.

Put all that together, you get y = -4cos([tex]\frac{\pi }{3}x[/tex])-2

Answer 2

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Period :

Difference between two successive crest or trough is known as period, so here :

period = 9 - 3 = 6

Frequency

Now, we know that frequency = 1/period

So, frequency for given function is 1/6 hertz , or approximately 0.167 hertz

Amplitude (A) = 4 (flipped)

b = 2π ÷ Period = 2π /6 = π/3

k = -2

The required equation is ~

[tex]\qquad \sf  \dashrightarrow \:y = a \cos(bx) + k[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = - 4 \cos( \frac{ \pi}{3} x) - 2[/tex]


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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation: please see attached to PDF document.



Answer:

a) 6

b) 1/3

c) 2

Step-by-step explanation:

a) 3 ( x + 1 ) - x = 15. expand the bracket

3x + 3 - x = 15

2x + 3 = 15. collect the like terms

2x = 15 - 3.

2x = 12.

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b) 5 ( x + 2 ) - 2x = 11. expand the bracket

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or

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x = 10/5 = 2

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Answer:

90 cents

Step-by-step explanation:

you divide 1.80 by 2 and get .9 which is equal to 90 cents

Answer:

$0.90

Step-by-step explanation:

literally just divide by 2

For f(x) = 2 – 2x2, evaluate f(-4).

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Answer:

x = 1 ± [tex]\sqrt2[/tex]

Step-by-step explanation:

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A student is interested in the depth of the water off the
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For edge

Answers

The residual plot regarding the depth of the water is the difference between the observed response and the fitted response values.

What is a residual plot?

Your information is incomplete. Therefore, an overview of a residual plot will be given. A residual plot is a graph that shows the residual on the vertical axis while the independent variable is on the horizontal axis.

Here, the equation of the least-squares regression line is 9 = 13.0 -0.259x, where y is the depth of the water and x is the number of hours past midnight.

In this case, the residual plot regarding the depth of the water is the difference between the observed response and the fitted response values.

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126x - 42x²

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Step-by-step explanation:

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Answers

x=2

Step-by-step explanation:

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Answer:

[tex]4x + 20[/tex]

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a number d is decreased by 5 and then doubled

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If a number d is decreased by 5 and then
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In making a budget, a person should spend about one-third of his or her salary on
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Lets see

One-third on rentOne tenth on savingsOne third for taxes

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8. For brevity, let U = unemployed, E = employed, M = male, F = female. We're given that

P(M) = P(F) = 50/100 = 1/2

P(U) = 60/100 = 3/5

P(M | U) = 2/3

P(E) = 40/100 = 2/5

P(F | E) = 3/4

8a. This follows immediately from the given information. Specifically,

P(E) = 1 - P(U) = 1 - 3/5 = 2/5

8b. By definition of conditional probability,

P(A | B) = P(A and B) / P(B)   ⇒   P(A and B) = P(A | B) P(B)

It follows that

P(M and U) = P(M | U) P(U) = 2/3 • 3/5 = 2/5

8c. Using Bayes' rule/the definition of conditional probability,

P(U | F) = P(U and F) / P(F) =  P(F | U) P(U) / P(F)

Since F and M are mutually exclusive,

P(F | U) = 1 - P(M | U)

and so

P(U | F) = (1 - 2/3) • 3/5 / [(1 - 2/3) • 3/5 + 3/4 • 2/5] = 2/5

8d. Here we assume gender and employment status are independent, so for instance

P(F and E) = P(F) P(E)

We then have by the inclusion/exclusion principle that

P(F or U) = P(F) + P(U) - P(F and U) = P(F) + P(U) - P(F) P(U)

We also have by the law of total probability

P(F) = P(F and U) + P(F and E)

so

P(F or U) = P(F and U) + P(F and E) + P(U) - P(F) P(U)

By the assumed independence,

P(F or U) = P(F) P(U) + P(F) P(E) + P(U) - P(F) P(U)

P(F or U) = P(F) P(E) + P(U)

P(F or U) = 1/2 • 2/5 + 3/5 = 4/5

9.

a. This is mostly a matter of counting the ways a given type of stamp can fall out.

[tex]P(A) = \dfrac{\dbinom{20}3}{\dbinom{24}3} = \dfrac{285}{506}[/tex]

since there are 20 non-green stamps.

[tex]P(B) = \dfrac{\dbinom21 \dbinom{22}2}{\dbinom{24}3} = \dfrac{21}{92}[/tex]

since there are 2 red and unused stamps, 1 of which we want; the other 2 stamps come from the remaining 22 non-red-and-unused stamps.

[tex]P(A \cap B) = \dfrac{\dbinom21 \dbinom{18}2}{\dbinom{24}3} = \dfrac{153}{1012}[/tex]

since exactly 1 of the stamps must be red and unused, and the other 2 stamps that fall out can be neither green nor red and unused.

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = \dfrac{162}{253}[/tex]

which follows from the inclusion/exclusion principle.

b. There is a total of 10 used stamps, so the probability of at least 1 going missing is

[tex]P(C) = \dfrac{\dbinom{10}1\dbinom{14}2 + \dbinom{10}2\dbinom{14}1 + \dbinom{10}3}{\dbinom{24}3} = \dfrac{415}{506}[/tex]

By definition of conditional probability,

[tex]P(C \mid A) = \dfrac{P(C \cap A)}{P(A)}[/tex]

However, there are no used green stamps; any used stamp that goes missing must be red, blue or yellow. So the event A ∩ C is really just the event C, and

[tex]P(C \mid A) = P(C) = \dfrac{415}{506}[/tex]

c. A and C are independent if and only if

[tex]P(A \cap C) = P(A) P(C)[/tex]

We know

[tex]P(C \cap A) = P(C)[/tex]

so if A and C are independent, then

[tex]P(C) = P(A) P(C)[/tex]

but this would imply P(A) = 1, which is clearly not the case as we found in 9.a. So A and C are not independent.

You can buy 1 pound of chocolate for 7.99 how much is a chocolate pronounce round your answer to the nearest cent

Answers

Answer:

Step-by-step explanation:

1 pound = 16 ounces

16 ounces = $7.99

1 ounce = $0.50 (about)

Can yo solve this ones, please? in adittion, can you put answers and the process. The topic are area down the curve

Answers

1) The net area between the two functions is 2.

2) The net area between the two functions is 4/3.

3) The net area between the two functions is 17/6.

4) The net area between the two functions is approximately 1.218.

5) The net area between the two functions is 1/2.

How to determine the area between two functions by definite integrals

The area between the two curves is determined by definite integrals for a interval between two values of x. A general formula for the definite integral is presented below:

[tex]A = \int\limits^{b}_{a} {[f(x) - g(x)]} \, dx[/tex]   (1)

Where:

a - Lower limitb - Upper limitf(x) - "Upper" functiong(x) - "Lower" function

Now we proceed to solve each integral:

Case I - [tex]f(x) = \sqrt{x}[/tex] and [tex]g(x) = x^{2}[/tex]

The lower and upper limits between the two functions are 0 and 1, respectively. The definite integral is described below:

[tex]A = \int\limits^1_0 {x^{0.5}} \, dx - \int\limits^1_0 {x^{2}} \, dx[/tex]

[tex]A = 2\cdot (1^{1.5}-0^{1.5})-\frac{1}{3}\cdot (1^{3}-0^{3})[/tex]

[tex]A = 2[/tex]

The net area between the two functions is 2. [tex]\blacksquare[/tex]

Case II - [tex]f(x) = -4\cdot x[/tex] and [tex]g(x) = x^{2}+3[/tex]

The lower and upper limits between the two functions are -3 and -1, respectively. The definite integral is described below:

[tex]A = - 4 \int\limits^{-1}_{-3} {x} \, dx - \int\limits^{-1}_{-3} {x^{2}} \, dx - 3 \int\limits^{-1}_{-3}\, dx[/tex]

[tex]A = -2\cdot [(-1)^{2}-(-3)^{2}]-\frac{1}{3}\cdot [(-1)^{3}-(-3)^{3}] -3\cdot [(-1)-(-3)][/tex]

[tex]A = \frac{4}{3}[/tex]

The net area between the two functions is 4/3. [tex]\blacksquare[/tex]

Case III - [tex]f(x) = x^{2}+2[/tex] and [tex]g(x) = -x[/tex]

The definite integral is described below:

[tex]A = \int\limits^{1}_{0} {x^{2}} \, dx + 2\int\limits^{1}_{0}\, dx + \int\limits^{1}_{0} {x} \, dx[/tex]

[tex]A = \frac{1}{3}\cdot (1^{3}-0^{3}) + 2\cdot (1-0) +\frac{1}{2}\cdot (1^{2}-0^{2})[/tex]

[tex]A = \frac{17}{6}[/tex]

The net area between the two functions is 17/6. [tex]\blacksquare[/tex]

Case IV - [tex]f(x) = e^{-x}[/tex] and [tex]g(x) = -x[/tex]

The definite integral is described below:

[tex]A = \int\limits^{0}_{-1} {e^{-x}} \, dx+ \int\limits^{0}_{-1} {x} \, dx[/tex]

[tex]A = -(e^{0}-e^{1}) + \frac{1}{2}\cdot [0^{2}-(-1)^{2}][/tex]

[tex]A \approx 1.218[/tex]

The net area between the two functions is approximately 1.218. [tex]\blacksquare[/tex]

Case V - [tex]f(x) = \sin 2x[/tex] and [tex]g(x) = \sin x[/tex]

This case requires a combination of definite integrals, as f(x) may be higher that g(x) in some subintervals. The combination of definite integrals is:

[tex]A = \int\limits^{\frac{\pi}{3} }_0 {\sin 2x} \, dx - \int\limits^{\frac{\pi}{3} }_{0} {\sin x} \, dx + \int\limits^{\frac{\pi}{2} }_{\frac{\pi}{3} } {\sin x} \, dx -\int\limits^{\frac{\pi}{2} }_{\frac{\pi}{3} } {\sin 2x} \, dx[/tex]

[tex]A = -\frac{1}{2}\cdot (\cos \frac{2\pi}{3}-\cos 0)+(\cos \frac{\pi}{3}-\cos 0 ) -(\cos \frac{\pi}{2}-\cos \frac{\pi}{3} )+\frac{1}{2}\cdot (\cos \pi-\cos \frac{2\pi}{3} )[/tex]

[tex]A = \frac{1}{2}[/tex]

The net area between the two functions is 1/2. [tex]\blacksquare[/tex]

To learn more on definite integrals, we kindly invite to check this verified question: https://brainly.com/question/14279102

PLEASE HELP ILL GIVE BRAINLIESTTTT

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Answer:

50, 30 and 20

Step-by-step explanation:

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Adam earns $36 for every four hours of work how long will it take him to earn $144

Answers

Answer:

It will take 16 hours to earn $144.

Step-by-step explanation:

If Adam earns $36 in 4 hours,

36 = 4k

k = 9

Therefore, expression for total earnings will be,

y = 9x

a). For y = $144,    144 = 9x      x = 16 hours

[80 POINTS]
A candlemaker uses 240 cubic centimeters of wax to create a scented candle using a cylindrical mold. He decides to offer a larger-sized candle, which uses twice as much wax as the smaller-sized candle.

Which mold can he use to make the larger-sized candle?

A. a cylinder with a height that is the same as the height of the original mold, and a radius that is double the radius of the original mold

B. a cylinder with a height that is double the height of the original mold, and a radius that is one-half the radius of the original mold

C. a cylinder with a height and a radius that are each double the length of those of the original mold

D. a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold

Answers

Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold

Step-by-step explanation:

Answer:

Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold.

Step-by-step explanation:

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