just B please
A) In this problem, use the inverse Fourier transform to show that the shape of the pulse in the time domain is \[ p(t)=\frac{A \operatorname{sinc}\left(2 \pi R_{b} t\right)}{1-4 R_{b}^{2} t^{2}} \]

The solutions on the given interval 0 < θ < 2π are θ = π/4 and θ = 7π/4.

The given equation is 2cos^2θ = 1.

Simplifying the equation, we get:

cos^2θ = 1/2

Taking the square root on both sides, we get:

cosθ = ±1/√2

Now, we know that cosθ is positive in the first and fourth quadrants. Hence,

cosθ = 1/√2 in the first quadrant (0 < θ < π/2)

cosθ = -1/√2 in the fourth quadrant (3π/2 < θ < 2π)

Therefore, the solutions on the given interval 0 < θ < 2π are:

θ = π/4 and θ = 7π/4

Learn more about interval here

https://brainly.com/question/29576113

#SPJ11

The probability their sum is even without replacement is 39/52

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

It is given that if we randomly select 4 numbers from the set of the first 16 prime numbers, without replacement, then the probability that their sum i seven is,

2,3,5,7,11,13,17,23,27,29,31,37,41,43,49,51 are the first 16 prime numbers.

Even numbers are always produced when two odd numbers are joined together.

Odd numbers are always created when Even numbers are added to Odd numbers.

In the list of 16, there is just one even number. If that is one of the options, then the outcome will only be odd. As the same number cannot be selected twice, there is a 15/16 chance that it won't be chosen the first time. There is also a 14/15 chance that it won't be chosen the second time, a 13/14 chance the third time, and a 12/11 chance the fourth time.

By multiplying these four probabilities, we may get the probability of an even sum. The odds of a total that is even are therefore,

32760/43680=39/52=0.75

The probability their sum is even without replacement is 39/52

To learn more about Probability visit:

brainly.com/question/11234923

#SPJ4

Answer:

i hope u can round other wise its this 4   3649237 / 10000000

Step-by-step explanation:

the dash is the fraction symbol

The intersection of sets is the point that represents the common point of multiple sets.

The region that represents the intersection of sets A and B is region II.

From the question, we understand that sets A and B have a common set element at II.

This means that region II is the intersection of both sets.

Hence, the region that represents the intersection of sets A and B is II.

Read more about set intersection at:

https://brainly.com/question/6779867

Answer:

II is the answer

Step-by-step explanation:

Edge 2022

If segment BD is congruent to segment BC, and BD = 4x - 18, BC = x + 3, and AC = 34, then AB = 31/x.

Let the equation be AB + BC = AC

substitute the values in the above equation, we get

AB + x + 3 = 34

simplifying the value of x,

Subtract A B from both sides AB + x + 3 - AB = 34 - A B

x + 3 = 34 - AB

Subtract 3 from both sides,

x + 3 - 3 = 34 - AB - 3

x = -AB + 31

Plug in this value of x into the line segments to find BC and AC.

Where, BC = x + 3

substitute the value of x in the above equation, we get

BC = [-AB + 31 ] + 3

BC = -AB + 34

Then, AB + BC = AC

x = -AB + 31

AB = 31/x

Hence, If segment BD is congruent to segment BC, and BD = 4x - 18,

BC = x + 3, and AC = 34, then AB = 31/x.

To learn more about Congruent angles, refer to:

https://brainly.com/question/28262429

#SPJ1

Answer:

i believe x = 4

Step-by-step explanation:

Answer:

The slope is 0

Answer:

0

Step-by-step explanation:

In this, the x value is the only one changing, not the y ones. So, if the x values change, and the y values don't, you get a horizontal line. A horizontal line has a slope of zero.

Hope I helped!!!!

Answer:

Step-by-step explanation:

A regular quadrilateral has 4 congruent sides and 4 angles

Answer:

4

Step-by-step explanation:

This expression is a difference of squares.

(√3 + i)(√3 - i) = (√3)²-(i)², which is

3 - (-1)

= 3 + 1

= 4

The final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them.

Let's clarify the itinerary for the 15-day tour visiting 5 national parks.

You have a 15-day tour, and you plan to visit 5 national parks. Each park will have a stay of two days.

When you multiply the number of parks (5) by the number of days spent in each park (2), you get a total of 10 days allocated for staying in those 5 parks.

However, there seems to be a discrepancy in the calculation because allocating 10 days for park stays leaves only 5 days remaining, not 15.

To resolve this issue and ensure a 15-day tour, we need to reevaluate the itinerary. Let's assume you want to spend two days at each park, which gives you a total of 10 days for park stays.

To fill the remaining 5 days, you have a few options:

1. Travel Days: You can allocate a day for travel between each park, which would require an additional 4 days. This accounts for the transportation time and allows you to enjoy the journey between the parks.

2. Additional Park Visits: If there are other nearby national parks or attractions in the area, you can extend your tour to include visits to these places. This would allow you to explore more diverse locations and make the most of your 15-day tour.

3. Rest and Relaxation: Alternatively, you might choose to use the extra days for relaxation or leisure activities. You can spend some time enjoying the amenities and attractions available near the parks, such as hiking trails, wildlife observation, or local cultural experiences.

Ultimately, the final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them. Make sure to consider travel times, desired activities, and any additional locations you wish to explore when creating your 15-day tour.

Learn more about number here:

https://brainly.com/question/24908711

#SPJ11

Answer:

Roberto is correct because 15/16 x 4/5 = 3/4.

Roberto's solution to the division problem is correct, but

there are no true statements on your list of choices.

Answer:

Roberto is correct because 15/16 x 4/5 = 3/4.

Step-by-step explanation:

Answer:

65/100

Step-by-step explanation:

The number 65 stays the same all  you have to do is add the numbers up to get 100

In this case, the terminal point of theta/2 can be determined using the following steps:

Since cos(theta/2) < 0 and the cosine function has a range of [-1, 1], it follows that theta/2 must be in the second or third quadrant (90 degrees to 180 degrees or 180 degrees to 270 degrees).

To find the terminal point of theta/2, we can use the formula for converting from polar to Cartesian coordinates: x = rcos(theta) and y = rsin(theta), where (x,y) is the Cartesian coordinates of the terminal point, r is the radius, and theta is the angle in radians.

In this case, the radius is 1 (since the terminal point is on the unit circle) and the angle is theta/2. Substituting these values into the formulas above, we get:

x = 1 * cos(theta/2)

y = 1 * sin(theta/2)

To find the values of cos(theta/2) and sin(theta/2), we can use the identity cos(theta/2) = sqrt((1 + cos(theta))/2) and sin(theta/2) = sqrt((1 - cos(theta))/2).

Substituting the given value of cos(theta) (-1/9) and the identities above into the formulas for x and y, we get:

x = sqrt((1 + (-1/9))/2) = -sqrt(2)/3

y = sqrt((1 - (-1/9))/2) = sqrt(8)/3

Thus, the coordinates of the terminal point of theta/2 are (-sqrt(2)/3, sqrt(8)/3).

The terminal point (a₁, a₂) for theta/2 is (-2/3, √(5) / 3).

To find the terminal point (a₁, a₂) of theta/2, use the half-angle identity for cosine:

cos(theta/2) = ± √((1 + cos(theta)) / 2)

Given that cos(theta) = -1/9 and cos(theta/2) < 0, the negative sign should be used in the half-angle identity.

Calculate cos(theta/2):

cos(theta/2) = - √((1 + cos(theta)) / 2)

cos(theta/2) = - √((1 - 1/9) / 2)

cos(theta/2) = - √((8/9) / 2)

cos(theta/2) = - √(8/18)

cos(theta/2) = - √(4/9)

cos(theta/2) = - 2/3

Cos(theta/2) = -2/3. To find the terminal point (a₁, a₂), determine the values of a₁ and a₂.

Since cos(theta/2) is negative, a₁ is negative. To find the value of a₂, use the Pythagorean identity:

cos²(theta/2) + sin²(theta/2) = 1

Since cos(theta/2) = -2/3, calculate sin(theta/2):

sin²(theta/2) = 1 - cos²(theta/2)

sin²(theta/2) = 1 - (-2/3)²

sin²(theta/2) = 1 - 4/9

sin²(theta/2) = 5/9

sin(theta/2) = ± √(5/9)

sin(theta/2) = ± √(5) / 3

Since theta is in the second quadrant (cos(theta) = -1/9), sin(theta) is positive in the second quadrant. Therefore, sin(theta/2) = √(5) / 3.

Now, sin(theta/2) = √(5) / 3.

So, the terminal point (a₁, a₂) for theta/2 is (-2/3, √(5) / 3).

Find out more on Terminal point here: https://brainly.com/question/14435471

#SPJ2

Option A, which states that the ordered pair of point P' will be, is the appropriate response (-8.75, 5.25).

Given,

A scaling factor of 7/4 is used to enlarge the pentagon in the OPQRS.

In order to generate O'P'Q'R'S, we must identify the ordered pair of point P'.

Here,

To obtain the coordinates of P', multiply the coordinates of point P by the scale factor 7/4.

P(-5,3)

P' (x, y) = P (-5 x 7/4, 3 x 7/4).

= P(-8.75, 5.25) 

As a result, option A, which states that the ordered pair of point P' will be, is the appropriate response (-8.75, 5.25).

Learn more about scale factor here;

https://brainly.com/question/1698446

#SPJ4

The question is improper. Proper question is given below;

If pentagon OPQRS is dilated by a scale factor of 7/4 from the origin, to create O’P’Q’R’S’, what is the ordered pair of point P’?

A. (-8.75, 5.25)

B. (-1.25, 0.75)

C. (-3.5, 8.75)

D. (-1.75, 3.5)

The area of the quadrilateral bounded by the lines AA', AA", BC, and BB' is given by the expression: Area of triangle ABC - (1/6) * AA' * AB'.

To determine the area of the quadrilateral bounded by the lines AA', AA", BC, and BB', we can divide it into two triangles and subtract their areas from the area of triangle ABC.

Let's label the points of intersection of AA' and BB' as P and Q, respectively.

Triangle A'BP:

The area of triangle A'BP can be found using the formula: Area = (1/2) * base * height.

The base is A'B, which is equal to 3 times the length of B'C.

The height is the distance from point P to line BC, which is equal to the distance from point A' to line BC.

Since A' is on line BC, the distance from A' to line BC is 0.

Therefore, the area of triangle A'BP is (1/2) * (3B'C) * 0 = 0.

Triangle A'PQ:

The area of triangle A'PQ can also be found using the formula: Area = (1/2) * base * height.

The base is A'Q, which is equal to the length of AA'.

The height is the distance from point P to line BC, which is equal to the distance from point Q to line BC.

Since AA' and BB' are parallel lines, the distance from Q to line BC is equal to the distance from B' to line AC.

Therefore, the area of triangle A'PQ is (1/2) * AA' * B'C.

Now, we can calculate the area of the quadrilateral:

Area of quadrilateral = Area of triangle ABC - Area of triangle A'BP - Area of triangle A'PQ

= Area of triangle ABC - 0 - (1/2) * AA' * B'C

= Area of triangle ABC - (1/2) * AA' * (1/3) * AB'

= Area of triangle ABC - (1/6) * AA' * AB'

Hence, the area of the quadrilateral bounded by the lines AA', AA", BC, and BB' is given by the expression: Area of triangle ABC - (1/6) * AA' * AB'.

Learn more about triangle here:

https://brainly.com/question/2773823

#SPJ11

Answer:

1 makes 7 people full, 3 makes 5 people full

Step-by-step explanation:

1) A=b*h=33(22)=726 square inches. Would make 7 people full.

3)A=b*h=20(25)=500 square inches. Would make 5 people full

Answer:

Rows...............

Step-by-step explanation:

Hope this helps ☺

Answer:

The company rejects H0, making a Type I error.

Step-by-step explanation:

Got it right, and you will get it right too!

a=0.1 and p-value was 0.01.

Since 0.01 < 0.1 (p-value is less than significance level), they rejected the null hypothesis (H 0). However, in reality, the alternative hypothesis was wrong and they incorrectly rejected the null hypothesis. This is a Type I Error.

The expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box is -19.67 (option b.)

To find the expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box, we can calculate the average of all possible sample sums.

Given that the box contains 12 tickets with the following numbers: -9, -9, -8, -8, -5, -5, -4, 3, 6, 6, 6, 7, we can find all the possible sample sums and their probabilities.

Let's denote the ticket labels as X1, X2, ..., X12.

To calculate the expected value, we sum up the product of each sample sum and its corresponding probability.

Expected value = Sum of (Sample sum * Probability)

The sample sums and their probabilities are as follows:

Sample sum: -9 + -9 + -8 + -8 + -5 + -5 + -4 + 3 + 6 + 6 + 6 = -43

Probability: (2/12)^11 = 0.00000017166 (There are 2 "-9" tickets and 12 total tickets in the box)

Sample sum: -9 + -9 + -8 + -8 + -5 + -5 + -4 + 3 + 6 + 6 + 7 = -42

Probability: (2/12)^10 * (1/12) = 0.0000017166 (There are 2 "-9" tickets, 1 "7" ticket, and 12 total tickets in the box)

Sample sum: -9 + -9 + -8 + -8 + -5 + -5 + -4 + 3 + 6 + 6 + 6 = -41

Probability: (2/12)^10 * (3/12) = 0.0000085832 (There are 2 "-9" tickets, 3 "6" tickets, and 12 total tickets in the box)

and so on for all the possible sample sums.

Calculating the expected value:

Expected value = (-43 * 0.00000017166) + (-42 * 0.0000017166) + (-41 * 0.0000085832) + ...

After performing the calculations, the expected value of the sample sum is approximately -19.67.

Therefore, the correct option is: b. -19.67

Learn more about probability

https://brainly.com/question/33594301

#SPJ11

Answer:

1.5

Step-by-step explanation:

Answer:

Improper Fraction: \(\frac{10}{6}\)

Proper Fraction: \(1\frac{4}{6}\)

Simplified Proper Fraction: \(1\frac{2}{3}\)

Step-by-step explanation:

\(\frac{5}{6} + \frac{2}{3}\) Is our equation... first we must find a common denominator! Let's take a look...

6: 1, 6, 12

3: 1, 3, 6

We see that both numbers get to 6 so we use that as our common denominator. Now we plug that in...

\(\frac{5*1}{6*1} +\frac{2*2}{3*2}\)

We get...

\(\frac{5}{6} +\frac{4}{6} = \frac{10}{6}\)

Now if you want to leave it as an improper fraction your answer will be \(\frac{10}{6}\). However, if you want you answer to be a proper fraction your answer is \(1\frac{4}{6}\) which can be simplified further to,\(1\frac{2}{3}\).

Whew! What a toughie! We showed that math problem!

The answer is B

seeing there are 3 way to put it

(a+b)(a-b)=a 2-b 2

(a+b)(a-b)=a^2-b^2

(a+b)(a-b)=a2-b2

and option B matches with the second way to put it i hope this helps

Answer:

50

Step-by-step explanation:

a rectangle has 2 of the same side lengths and another 2 of the same side lengths. We know that there is a 25 and 25, so there must be another 50 to that 50.

Given :

An office supply company ordered 24 cartons of specialty paper.

The regular price for a carton of specialty paper is $6.88.

The company received a discount of $1.75 off each carton.

To Find :

Total amount company pay for paper.

Solution :

Discounted price of each carton , d = $(6.88-1.75) = $5.13.

Total price company has to pay , \(T=24d\)

\(T=24\times 5.13\\\\T=\$123.12\)

Hence , this is the required solution.

No, Anthony is not correct.

What is meant by addition?

In math, addition is the process of adding two or more integers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum.

Given that Total circles= 12.

The circles Anthony finished before going to lunch = 6 and 1/4th

The circles Jacob finished before going to lunch= 5 and 3/4th.

If we add these two 6+1/4+5+3/4=12

Which means that the 12 circles are colored.

This also means that Jacob has already colored the one that Anthony colored 3/4th.

So therefore Anthony's statement "if he had colored one-fourth of Jacob's last circle instead of one-fourth of his last circle, they would have twelve whole circles colored" is not true.

To learn more about adding fractions, refer to the link below:

https://brainly.com/question/78672

#SPJ1

Answer: 80%

Step-by-step explanation:

Goran watched 55 movies. Out of those movies, he thought 44 were very good.

The question needs to know what percentage this 44 very good movies comprised of the total number of movies.

= Number of very good movies / Total movies * 100%

= 44 / 55 * 100%

= 0.8 * 100%

= 80%

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.

The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.

To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.

The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.

To learn more about polar coordinates click here:

brainly.com/question/13103661

#SPJ11

Answer:

52 minutes

Step-by-step explanation:

12 hours is equal to 720 minutes. Divide 720 by 14 days gets you 52 minutes (rounded up)