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

Answer:

16

Step-by-step explanation:

equal both using corresponding law

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.

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:

Now we proceed to solve each integral:

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]

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]

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]

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]

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

Answer:

[tex]4x + 20[/tex]

Step-by-step explanation:

[tex]4(x + 3) + 8 = 4x + 12 + 8 = 4x + 20[/tex]

Answer:

0.9952076759

Step-by-step explanation:

Probability that all three survive

= 0.9984 × 0.9984 × 0.9984

= 0.9952076759

Answer:

0

Step-by-step explanation:

7-11=-4

-4+4=0

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

Answer:

126x - 42x²

Step-by-step explanation:

Finding the necessary information

Area

Answer:

D (1;3).

Step-by-step explanation:

1) the condition 'across the X-axis' means the x-coordinate is not changed, the y-coordinate is changed to positive value. Then

2) the required coordinates of point D are (1; 3).

note, the suggested option is not the only one.

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

Answer:

I know 3 h(x)=4sin(2x+pi)+3  is the correct option.

Step-by-step explanation:

I don't exactly know why but based on examples in this class I made this conclusion.

Answer:

all are -3

Step-by-step explanation:

substitue 0

Answer:

18/1

Step-by-step explanation:

Answer:

1/2. I think if I'm wrong I'm sorry

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.

x = 12/2 = 6

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

5x + 10 - 2x = 11

3x + 10 = 11. collect the like terms

3x = 11 - 10

3x = 1

x = 1/3

c) 6 ( 1 - 2x ) = - 4 - 7x. expand the bracket

6 - 12x = -4 -7x. collect the like terms

6 + 4 = -7x + 12x

10 = 5x

or

5x =. 10

x = 10/5 = 2

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Answer:

$ 62 244

Step-by-step explanation:

Commission  =   .09 * 691600 =

x=2

Step-by-step explanation:

y=7-2x -------(1)

6y=9x

y=9x/6 = 3x/2------(2)

Now,

Equation equation 1 and 2

7-2x= 3x /2

2(7-2x)=3x

14-4x=3x

14=4x+3x

14=7x

14/7=x

x=2

Answer:

coke red

Step-by-step explanation:

correct me if im wrong

Answer:

x = ± 2i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

note that [tex]\sqrt{-1}[/tex] = i

x² = - 12 ( take square root of both sides )

x = ± [tex]\sqrt{-12}[/tex] = ± [tex]\sqrt{4(3)(-1)}[/tex] = ± 2i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

I only understand English i am sorry

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

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.

Learn more about residual plot on:

https://brainly.com/question/3297603

Answer: C

Step-by-step explanation: Edge '23 Trust me

Answer:

50, 30 and 20

Step-by-step explanation:

Check out the attached photo

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.

Answer:

tan 70 times thirty gives you -1.70

Answer:

x = 1 ± [tex]\sqrt2[/tex]

Step-by-step explanation:

Hope this helped! Have a nice day!
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Lets see

Left:-

Not left anything

Answer:

9d^2(5d−2)

Step-by-step explanation:

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:

Answer:

-1

Step-by-step explanation:

we plug in p = -3 in the equation to get the answer.

f(p) = -1

Answer:

random sampling is more accurate

Answer:

Step-by-step explanation:

1 pound = 16 ounces

16 ounces = $7.99

1 ounce = $0.50 (about)

Answer:

Step-by-step explanation:

18+x=24 and 6x+3 fail distributive property, while 3(6+x)=72 is not the same as 3(6+x)=24