Use a polar coordinate system to plot the point with the given polar coordinates. Then find another representation (r,θ) of this point in which:

Given any equation, for example:

To solve this equation you have to isolate the x term in one side of the equation and all other terms in the other side.

To "pass" one term from one side of the equation to the other, you have to apply the inverse operation to both sides of it, this way the term will be canceled in one side of the equation and remain in the other, for example the term "-5" its inverse operation is +5, apply it to both sides of the equation and:

Correct option: A.use inverse relationships to undo the operation

Answer:

  B)  15/17

Step-by-step explanation:

You want the sine of acute angle A in the right triangle shown.

The sine of the angle is the ratio ...

  Sin = Opposite/Hypotenuse

We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)

The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.

The value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.

Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.

The sine of angle A is 15/17.

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Answer:

The parachutist's rate of fall is 132 feet per second. In turn, in 5 seconds, the parachutist will drop 660 feet.

Step-by-step explanation:

Given that a parachutist's rate during a free fall reaches 90 miles per hour, to determine what is this rate in feet per second and, at this rate, how many feet will the parachutist fall during 5 seconds of free fall, knowing that 1 mile is equal to 5280 feet, the following calculations must be performed:

90 x 5280 = 475,200

475,200 / 60/60 = X

7,920 / 60 = X

132 = X

Thus, the parachutist's rate of fall is 132 feet per second.

132 x 5 = 660

In turn, in 5 seconds, the parachutist will drop 660 feet.

the two numbers x and y for which x2y is that value, as well as the highest possible value .P at any solutions found in part d, as well as the endpoints of the domain found as The maximum value of P is =4092, The values of x and y are x=64, y=32.

a. Solve x+y=96 for y.

y=96-x

b. In the equation P=x2y, replace the variable to be maximized with the outcome from part a.

P=x^2(96-x)

c. Find the domain of the function P found in part b.

Dom(P)=[0,96]

d. Find dP/dx. Solve the equation dP/dx=0.

dP/dx=2x(96-x)-x^2=0

Solve the equation

x=0,96

e. Evaluate P at any solutions identified in part d, as well as the endpoints of the domain found in part c.

P(0)=0

P(64)=4096

P(96)=0

f. provide the maximum value of P, as well as the two numbers x and y for which x2y is that value.

The maximum value of P is 4096

The values of x and y that maximize P are x=64, y=32

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Answer:

155.5 is the answer

Step-by-step explanation:

Answer:

The correct answer is A) \(99.0 \ in.^{2}\)

Step-by-step explanation:

Just took the test

hope this helps :)

For the given two - dimensional function, we can write -

In mathematical analysis, the maximum and minimum of a function, known generically as extremum are the largest and smallest value of the function, either within a given range (the local or relative extrema), or on the entire domain.

Given is calculate the relative maxima and minima for the function -

2x⁴ + y² - 3yx²

For the given two - dimensional function, we can write -

Relative Maxima  →  No relative maxima.

Relative Minima  →  No relative minima.

Saddle Points  →  No saddle points.

Therefore, for the given two - dimensional function, we can write -

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{Question in english -

Calculate the relative maxima and minima of the function.

f(x, y)=2x^4+y^2-3yx^2}

The position of  √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.

A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.

Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.

The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.

If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:

To begin, determine the approximate square root values:

√17 is between 4 and 5, since 4² = 16 and 5² = 25.

√6 is between 2 and 3, since 2² = 4 and 3² = 9.

Place the number √17 closer to 5, between 4 and 5.

Place the number √6 between the numbers 2 and 3, closer to 2.

Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.

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Number line attached below,

Answer:

1144.18 e-12 chips

Step-by-step explanation:

Conversation rate of nanometers

1 nanometers =1* 10^-12 km

35 nanometers= 35 *10^-12

Radius of earth= 6371 km

Circumference of earth = 2πr

Circumference= 2*22/7*6371

Circumference=40046.29 km

The number of chips to be used to circle the earth

= 40046.29/35 *10^-12

=1144.18 *10^-12

= 1144.18 e-12 chips

The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Number of electricians= 4

Number of hours= 6

Now,

We can use the formula:

workers × time = work

where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.

In this case, we know that 4 electricians can complete the job in 6 hours. So:

4 × 6 = work

work = 24

This means that the total amount of work required to complete the job is 24 "units".

Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".

So we have:

3 × t = 24

Dividing both sides by 3, we get:

t = 8

Therefore, by work and time answer will be 3 electricians and 8 hours.

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The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer: 3. 1/3 + 1/4

Step-by-step explanation:

1/3 = 4/12

1/4 = 3/12

4/12 + 3/12 = 7/12

Answer: b1

Step-by-step explanation:

Answer:

98.5

Step-by-step explanation:

64.4 x 2= 128.8

325.8-128.8=197.0

197 /2 = 98.5

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Answer:

Hey mate,

here is your answer. Hope  it helps you.

Step-by-step explanation:

x+x+64.4+64.4=325.8

2x+ 128.8 =325.8

2x = 325.8 - 128.8

2x = 197

x= 197/2

=98.5 inches

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

---------------------------------

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Answer:

‹1=48°

Step-by-step explanation:

A very simple problem. Treat angles 1,2,3 as angles on a straight line. Angle 2 is a right angle

42°+90°+‹1=180°

‹1=180°-132°=48°

Answer:

48 degrees

Step-by-step explanation:

Cred to person above

According to the given information, the letter that comes next in the given alphanumeric series is "N".

What is alphanumeric series?

An alphanumeric series is a sequence of letters and/or numbers that follows a certain pattern or rule. For example, "A, B, C, D, E..." is an example of an alphabetical series, and "1, 3, 5, 7, 9..." is an example of a numerical series. An alphanumeric series may combine both letters and numbers, such as "A1, B2, C3, D4, E5...". The pattern or rule followed by an alphanumeric series may be based on numerical or alphabetical order.

The given series V, Q, M, J, H, ... follows a pattern where each letter is the 6th letter from the previous letter. So, the next letter in the series would be 6 letters after H, which is N.

Therefore, the letter that comes next in the given alphanumeric series is "N".

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Answer:

a. x1,x2,x3,x4

b. 20x1 + 24x2 + 28x3

c. x1 +x2 ≥ 25

Step-by-step explanation:

At a time that spans from 1 to 5pm, we have timing as follows:

1pm - 2pm = x1

2pm - 3pm = x2

3pm - 4pm = x3

4pm - 5pm = x4

a. The decision variables are x1, x2, x3, x4 and these are the number of people for each shift.

b. The objective function is the minimum cost which is

20x1 + 24x2 + 28x3

c. The constraints for each has been listed

1 - 2pm, x1 ≥ 20 workers

2 - 3pm, x1 + x2 ≥ 25

3 - 4pm, x2 + x3 ≥ 25

4 - 5pm, x3 ≥ 30

The question asked us to write the one for 2-3pm, which is x1 + x2 ≥ 25

Answer: The first one is of even multiplicity and the second one is of odd multiplicity.

Answer:

even

odd

Step-by-step explanation:

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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Answer:

  1

Step-by-step explanation:

You want to know the value of i^4.

The fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.

  i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1

The fourth power of i is 1.

__

Additional comment

As you can see from the evaluation process, ...

  i¹ = i

  i² = -1 . . . . . definition of i

  i³ = -i

  i⁴ = 1

The sequence repeats for higher powers.

Average for 3 races to be 28.0, the total times need to equal 28 x 3 = 84 seconds.

84 - 26.3 - 30.3 = 27.4

Her third time was 27.4 seconds.

Answer:

27.4 seconds

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

no no no nko mndnsnbe i dont wanna do thiaaa

Answer:

D is incorrect

In a case whereby Sound travels about 750 miles per hour. If you stand in a canyon and sound a horn, you will hear an echo in  1650 feet away.

In a case whereby you want to hear the echo, the sound will have had to gone out to the wall  which will later return , then The sound's speed, in feet/second is:

(750 mi/hour)*(1 hour/3600 seconds)*(5280 feet/mile)

= 1100 ft/sec

However in 3 seconds, the sound will have traveled 3300 feet. Since the sound's movement is a round trip, the canyon wall can be exressed

3300/2

= 1650 feet away.

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Answer:

12π ft

Step-by-step explanation:

~Refer to the attachment for the solution. :)

Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

Using translation concepts, function g(x) is given as follows:

g(x) = x² - 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, g(x) is a shift down of 3 units of f(x) = x², hence:

g(x) = x² - 3.

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Answer:D

Step-by-step explanation: The sides should be 6.633 to have an area of 44in squared so that cancels out 11 and 7 and 6.5 because 11 and 7 are higher than 6 and 6.633 and they said exactly 6.5 which is obviously wrong.

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