how to solve fourier series

Answer: [tex]The[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]C.[/tex] [tex]200[/tex]

Step-by-step explanation:

[tex]I ~can ~see ~that ~it ~does~ not ~appear ~to ~be[/tex] [tex]LINEAR[/tex]

[tex]y = 73e^kx[/tex] [tex]< ---~pulse~rate[/tex]

[tex].7[/tex] [tex]when[/tex] [tex]y = 155[/tex] [tex]< ---~sub ~in ~x[/tex]

[tex]155 = 73 e^(.7 * k)[/tex]

[tex]ln ( 155/73) = .7k[/tex]

[tex].75296567 = .7k[/tex]

[tex]k = 1.07567[/tex]

[tex]for[/tex] [tex]x = 0.9 :[/tex] [tex]pulse rate = y = 73 e^(1.07567[/tex] [tex]^. .9) = ~ 192[/tex]

[tex]Therefore~your~answer~is:~C.~200[/tex]

Complementary angles have sum 90°

Hence

Option A

Answer:

A)(6x + 2) + 40 = 90

Step-by-step explanation:

(for convenience, I have labelled it with alphabets)

Line ED has crossed line AB perpendicularly resulting [tex]\angle BFC[/tex] and [tex]\angle CFD[/tex] complimentary to each other. That means

[tex]\angle BFC+\angle CFD=90^{\circ}[/tex]

Here:

Hence,

The equation can be used to determine the value of x is

In conclusion

Our answer is A)

Answer:

Rinzin is older

Step-by-step explanation:

The reason is that since you probably already know that there are 12 months in a year it would be 85/12=7.0833 years and 23/12=7.666 so that makes rinzin older

Hope that helps :)

Pema is older than Rinzin if Pema is 85 months old and Rinzin is 7⅔ years old.

Two or more expressions with an Equal sign is called as Equation.

Pema is 85 months old and

Rinzin is 7⅔ years old.

We have to check who is older.

We know that 1 year = 12 months

So if 85 months are conveted to years by dividing 85 by 12

Pema, 85/12 years= 7.08 years

Rinzin, 7⅔ years = 7.06 years

We know that 7.08>7.06

Hence, Pema is older than Rinzin if Pema is 85 months old and Rinzin is 7⅔ years old.

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Answer: C. 0.165

Step-by-step explanation:

The value of P(A∪B) = 0.835

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that, A and B are dependent events. If P(AIB) = 0.55 and P(B) = 0.3,

0.55 = P(A∩B) / 0.3

P(A∩B) = 0.165

P(A) = 1-P(B)

P(A) = 1-0.3

P(A) - 0.7

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 0.3+0.7-0.165

P(A∪B) = 0.835

Hence, the value of P(A∪B) = 0.835

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The correct option regarding the probability of rolling a number that is at least 10 is given by:

А 10 percent, Lower

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the theoretical probability, it is calculated before any experiment. 11 out of 20 numbers are at least 10, hence it is given by:

pT = 11/20 = 0.55 = 55%.

For the experimental probability, we consider previous trials, in which one out of 10 resulted in a number that is at least 10, hence:

pE = 1/10 = 0.1 = 10%.

Which is lower than the theoretical probability, hence option A is correct.

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Answer:

16, 1/16

Step-by-step explanation:

[tex](4)^2 =16[/tex]

[tex](4)^{-2} =\frac{1}{16}[/tex]

Hope it helps you in your learning process.

[tex]\large{\textsf{\textbf{Answer\::}}[/tex]

Option B

[tex]\large{\textsf{\textbf{Calculations\::}}[/tex]

If the base is 4 , and the exponent is 2 , then the expression looks as follows :

[tex]\textbf{\textsf{$4^2$}}[/tex]

So we multiply 4 times itself .

The answer is :

[tex]\textsf{\textbf{16}}[/tex]

Detail : 4² is not equal to 4×2 , and here's why .

4² = 4 × 4 = 16

4 × 2 = 8

Now , if the exponent is negative , then we turn the number over as follows :

4⁻² = [tex]\mathsf{\dfrac{1}{16} }[/tex]

So the right option is :

[tex]\bigcirc[/tex] 16 , -16

[tex]\bigcirc\!\!\!\!\!\!\bigstar[/tex] 16 , 1/16

[tex]\bigcirc[/tex] 8 , -8

[tex]\bigcirc[/tex] 8 , 1/8

(Option B is right)

[tex]\footnotesize\text{hope\:helpful~}[/tex]

Answer:

Well I would say inferntial because its more testing your hyptohsis between two friends to see which coffe they like more

The probability that a randomly selected client at Bernie's salon has black hair is 61 / 264.

Probability measures the odds that a stated event would occur. The odds the event happens lies between 0 and 1.

The probability that a client at Bernie's salon has black hair = number of clients with black hair / total number of clients

122 / 528 = 61 / 264

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Answer:

C = 6π in

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

the area (A) of a circle is calculated as

A = πr²

given A = 9π , then

πr² = 9π ( divide both sides by π )

r² = 9 ( take square root of both sides )

r = [tex]\sqrt{9}[/tex] = 3

then

C = 2π × 3 = 6π in

The circumference of the circle is C = 6π inches

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circumference of the circle be C

Now , the area of the circle be A = 9π inches²

where area of the circle = πr²

So , r² = 9

Taking square roots , we get

r = 3 inches

Now , the circumference C = 2πr

C = 6π inches

Hence , the circumference is 6π inches

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Answer:

C

Step-by-step explanation:

[tex]200 + 48c \leqslant 3500[/tex]

[tex]48c \leqslant 3300[/tex]

[tex]c \leqslant 68.75[/tex]

44 is the last number

most likely

Answer:

See attachment

Step-by-step explanation:

Isolate y in the first inequality:

[tex]2x + 4y < -16\\4y < - 16 -2 x\\y < -4 -\frac{1}{2} x\\y < -\frac{x+8}{2} \\[/tex]

Now, with both x and y inequalities found, graph it.

Answer:

36 ft

Step-by-step explanation:

Answer:

309

Step-by-step explanation:

2781/9

Answer:

Vertex: (0,-3)

Radius: 4

Step-by-step explanation:

Complete the square

[tex]x^2+y^2+6y=7\\\\x^2+y^2+6y+9=7+9\\\\x^2+(y+3)^2=16[/tex]

The equation of a circle takes the form of [tex](x-h)^2+(y-k)^2=r^2[/tex] where its center is [tex](h,k)[/tex] and its radius is [tex]r[/tex].

Hence, the vertex is [tex](0,-3)[/tex] and the radius is [tex]4[/tex].

Answer: Grace is correct because a rhombus does not have right angles

Step-by-step explanation:

Grace's assertion is on point. Right angles are not present in all quadrilaterals.

A quadrilateral in geometry is a four-sided polygon with four edges and four corners.

As per the definition of Quadrilateral and rectangle, the rectangle is the type of quadrilateral that has 4 right angles.

Other varieties of quadrilaterals consist of:

Trapezium: Doesn't must have four right angles, but has one pair of opposite sides that are parallel.

A parallelogram has four right angles, but not necessarily two sets of opposite sides that are parallel.

All four sides of a rhombus are equal in length, although there aren't always four right angles.

Kite: Does not must have four right angles, but two adjacent pairs of sides that are equal in length.

Therefore, Grace's assertion is right.

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Answer:

The slope is [tex]-\frac{4}{3}[/tex]

Step-by-step explanation:

Standard form for a linear equation/graph:

[tex]y = mx + b[/tex]

[tex]m[/tex] is the slope, and [tex]b\\[/tex] is the Y- intercept (basically where the graph crosses the y axis).

[tex]m[/tex] can be shown by a fraction: [tex]\frac{Rise}{Run}[/tex]

In this graph, measuring from the two points of contact, the rise is 4 and the run is -3. If the graph moves towards the left while rising, then the run part of the slope should be negative, and vice versa.

Thus, the slope of this graph is [tex]-\frac{4}{3}[/tex]

Here's the function for the line if you need it:

[tex]y = - \frac{4}{3} x + 3[/tex]

[tex]\text{Given that,}~f(j) = -5j-4\\\\f(p-5) = -5(p-5) -4\\\\~~~~~~~~~~~~=-5p+25-4\\\\~~~~~~~~~~~~=-5p+21[/tex]

Answer:

Step-by-step explanation:

44yd x 27 yd = 1188 yd,

then subtract the two unshaded squares, 2 x (22 x 6) = 264

1188 - 264 = 924[tex]yd^{2}[/tex]

Answer:

59.66

Step-by-step explanation:

Answer:

1/4 is the correct answer

Answer:

24 a.)

Step-by-step explanation:

the base is a triangle

Answer:

7 feet and 2 inches

Step-by-step explanation:

12 inches in a foot, which in the case of 86 we would have 7 feet 84 inches which leaves us with 2 extra inches hence 7'2"