Consider the following vectors in polar form. → ՂԱ = (9, 73°) = (2.3, 159°) w = (1.4, 91°) Compute the following in polar form. 16.4 u = °) -0.197 4.4 ύ + 5.2 κ °) = - 6.2w – 6.87 V = 13 °) °)

Answers

Answer 1

The computed expressions in polar form are:

16.4u = (147.6, 73°)

-0.197w = (-0.2758, -91°)

4.4ύ + 5.2κ = (17.4, 250°)

-6.2w – 6.87v = (-97.99, -91°)

To compute the given expressions in polar form, we'll perform the necessary operations on the magnitudes and angles of the vectors. Let's start with each expression:

16.4u = 16.4(9, 73°)

= (147.6, 73°)

-0.197w = -0.197(1.4, 91°)

= (-0.2758, -91°)

4.4ύ + 5.2κ = 4.4(2.3, 159°) + 5.2(1.4, 91°)

= (10.12, 159°) + (7.28, 91°)

= (17.4, 159° + 91°)

= (17.4, 250°)

-6.2w – 6.87v = -6.2(1.4, 91°) - 6.87(13, 0°)

= (-8.68, -91°) - (89.31, 0°)

= (-97.99, -91°)

Therefore, the computed expressions in polar form are:

16.4u = (147.6, 73°)

-0.197w = (-0.2758, -91°)

4.4ύ + 5.2κ = (17.4, 250°)

-6.2w – 6.87v = (-97.99, -91°)

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Related Questions

how do you solve quadratic using square roots?ex: (p-4)²=49

Answers

Apply square root to both sides of the equation:

\(\sqrt[]{(p-4)^2}=\sqrt[]{49}\)\(p-4=7\)

Add 4 to both sides of the question:

\(p-4+4=7+4\)\(p=11\)

Chris bought a $568.80 tv with a 40% markup, how much does the tv cost.

Answers

Answer: the answer is $796.32

Step-by-step explanation:

anyone here can someone help me plz plz I will give a Brainiest

anyone here can someone help me plz plz I will give a Brainiest

Answers

Answer:

Change in Y over change in X. So down 8 and over 2. Simplified it would be 4/1

somebody help me please , thank you

somebody help me please , thank you

Answers

Answer:

Step-by-step explanation:

2500 +625+625+2500=6250

There are 6250 square feet inches total

625 square ft

625      = 1/10    {proportion}

6250

6000x 1/10

= 600

apportioned cost = {$600}

A class has 4 sections P, Q, R and S, with their average weights of the students in them are 45lb, 50lb, 55lb and 65lb, respectively. What is the maximum possible number of students in section R if there are 40 students in all sections combined and the average weight of the all students across all the sections is 55lb

Answers

Therefore , the solution of the given problem of median comes out to be  R students still present (maximum) =35

Explain median.

The number that precisely falls in the center of a sorted collection is the median value. An average or maximum probability metric is the difference between the initial and final 50% of the data. Different algorithms are employed to compute the average and mode depending on if you do have an unusual or perhaps even number of data points.

Here,

Median is 55

P :Q: R :S :average of 45 :50: 55 :65

The number of pupils within every section needs to be as low as possible 

R is a mean

P differs by 1: 10 from the mean.

Q is 1.5 away from the mean.

Then S will just have three students, or three times five, to keep the population's mean constant.

R students still present (maximum):

=> 40 - 1- 1-3

=> 35

Therefore , the solution of the given problem of average comes out to be  R students still present (maximum) =35

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whats the decimal equivalent of 16%

Answers

Answer:

0.16

Step-by-step explanation:

Percent means 'per 100'. So, 16% means 16 per 100 or simply 16/100.

The answer is 0.16

Answer:

0.16

Step-by-step explanation:

Can anyone tell me if what i put is correct? Thank you!

Can anyone tell me if what i put is correct? Thank you!

Answers

I’d do the same. I think it’s correct

Solve ln (3x + 7) = 1. Round to the nearest thousandth.



A. 0. 385


B. 3. 239


C. 9. 718


D. −1. 427

Answers

The solution to the equation ln(3x + 7) = 1, rounded to the nearest thousandth, is x ≈ 0.385 (option A).

To solve the equation ln(3x + 7) = 1, we can use the properties of logarithms. The natural logarithm ln(y) is the inverse function of the exponential function \(e^y\). In this case, we have ln(3x + 7) = 1, which means \(e^1\)= 3x + 7.

We can rewrite the equation as e = 3x + 7 and solve for x. Subtracting 7 from both sides gives e - 7 = 3x. Dividing both sides by 3, we have (e - 7) / 3 = x.

To round to the nearest thousandth, we substitute e = 2.718 (approximately), which is the base of the natural logarithm. Plugging this value into the equation, we get (2.718 - 7) / 3 ≈ -1.427.

However, the options provided do not include a negative value. Therefore, we consider the positive solution by taking the absolute value, giving x ≈ 1.427. Rounding this value to the nearest thousandth, we obtain x ≈ 0.385, which corresponds to option A.

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Fill in the missing numbers to complete the pattern: 6.37, 6.62, 7.37, 7.62​

Answers

Answer:

The pattern in the given sequence is as follows:

6.37, 6.62, 7.37, 7.62

The pattern appears to be increasing by 0.25, starting from 6.37 and going up to 7.37. The next number in the pattern should continue this trend and increase by 0.25, giving us:

7.62, 7.87

Therefore, the missing numbers to complete the pattern are 7.87.

Answer: 8.37, 8.62, 9.37, 9.62...................................

Step-by-step explanation:

Each time on this numbers it increases by .25, so every number it starts with .37 then .62.

Just keep repeating this pattern just changing the ones place everytime after you reach .62.

Guide Chart:

ones\ tenths\ hundreds/   6      .       3                 7         \

6.37, 6.62, 7.37, 7.62, 8.37, 8.62, 9.37, 9.62, 10.37, 10.62, 11.37, 11.62, 12.37, 12.62, 13.37, 13.62

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help meeeeeeeeeeeeeeeeeeeeeeee please

Answers

Answer:

Sweet and Sour Company

Step-by-step explanation:

$24/4 gallons=$6/gallon

$16/8 quarts       (divide by 4 cause there's 4 quarts per gallon)=$8/gallon

Answer: Sweet and Sour company is right

Step-by-step explanation:

Factorise 9xsquared +3xcubed

Answers

Answer:

=3x^2\left(3+x\right)

Step-by-step explanation:

Maria used one bag of flour. She baked
two loaves of bread. Then she used the


remaining flour to make 48 muffins. How


much flour was in the bag when Maria


began?

Answers

Answer:

48 pounds

Step-by-step explanation:

7 answer is 89-7 because 3x2 is 9 so. Divide nine into two you get 1.5

5. A rock is dropped off of a bridge that is 50 feet above a river. How long will it take the rock to hit the
water? (Hint: remember, the initial velocity is zero),

Answers

2.4 seconds cause you times it then you divide it

jared has mowed 2/5 of the yard abby says that jason has mowed 4/6 of the yard is abby correct explain

Answers

Answer:

No, she is not correct

Step-by-step explanation:

\(\frac{2}{5} \neq \frac{4}{6}\)

\(\frac{2}{5} = \frac{4}{10}\)

Alice and bruno are looking for an apartment in ideal city. alice works as an acrobat at amusement park a = (?3,?1). bruno works as a bread tester in bakery b = (3, 3). being ecologically aware, they walk wherever they go. they have decided their apartment should be located so that the distance alice has to walk to work plus the distance bruno has to walk to work is as small as possible. where should they look for an apartment?

Answers

Alice and Bruno should look for an apartment at the location ((3 - √3) / 2, 1).

Alice and Bruno should look for an apartment at a location that minimizes the total walking distance to their respective workplaces, A (acrobatic park at coordinates (-√3, -1)) and B (bakery at coordinates (3, 3)). To find this ideal location, they can use the geometric concept of the "centroid" of a triangle formed by their workplaces and their apartment. The centroid minimizes the total distance between all three points. To calculate the centroid, take the average of the x-coordinates and the y-coordinates:
Centroid_x = (-√3 + 3) / 2 = (3 - √3) / 2
Centroid_y = (-1 + 3) / 2 = 1
Thus, Alice and Bruno should look for an apartment at the location ((3 - √3) / 2, 1).

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find the distance.show your work.
intial velocity is 30.20 meter per second and time Is 32.8 second​

Answers

Answer:

990.56

Step-by-step explanation:

because, Distance=velocity× time

Using a pencil, pair of compasses and ruler, construct a right angled triangle with hypotenuse 9cm and shorter side 4cm. Measure the angle opposite 4cm side to the nearest degree.

Answers

Answer:

hope it will help uh.....

Using a pencil, pair of compasses and ruler, construct a right angled triangle with hypotenuse 9cm and

Ambry must submit 4 paintings as part of her application to art school. If she has 25 to choose from, how many ways can she pick 4?

Answers

The number of combination or ways she can pick 4 is , 12,650 ways.

What is permutation and combination ?

In mathematics, a permutation for a set of value can be defined as  the arrangement of its members into a sequential order, or in the case if  set is already in a proper ordered , the rearrangement of the elements.

If we have to find the number of ways to do something then we can use the concept of permutation.

If n is no of total elements and r is no of selection , then permutation is :

\(np_{r} = \frac{n !}{(n-r)!}\)

Whereas, a combination is use to define the number of ways to select something or select particular set of values from the total set.

If n is no of total elements and r is no of selection , then combination is :

\(nC_r = \frac{n!}{r! . (n-r)!}\)

In the given question:

n = 25 and r =4

thus, no of ways = \(25C_4 = \frac{25!}{4! . 21!}\)

=> no of ways = \(\frac{25 . 24 . 23 . 22}{4!}\) = 12,650

Hence, The number of combination or ways she can pick 4 is , 12,650 ways.

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How do I find the area of a triangle in a coordinate plane

Answers

The first formula most encounter to find the area of a triangle is A = 1⁄2bh. To use this formula, you need the measure of just one side of the triangle plus the altitude of the triangle (perpendicular to the base) drawn from that side. The triangle below has an area of A = 1⁄2(6)(4) = 12 square units.

factor 18s-63
A 9(2s+7)
B 6(3s-11)
C 18(s-3)
D 9(2s-7)

Answers

Answer:

it's D

Step-by-step explanation:

pls give me da crown

Subtract b (b²+b -7) + 5 from 3b² – 8 and find the value of expression obtained for b = -3. please explain how you got the answer

Answers

Answer:

16

Step-by-step explanation:

Subtracting the 2 expressions

3b² - 8 - b(b² + b - 7) ← distribute parenthesis

= 3b² - 8 - (b³  + b² - 7b) ← distribute parenthesis by - 1

= 3b² - 8 - b³ - b² + 7b ← collect like terms

= - b³ + 2b² + 7b - 8 ← substitute b = - 3 into the expression

= - (- 3)³ + 2(- 3)² + 7(- 3) - 8

= - (- 27) + 2(9) - 21 - 8

= 27 + 18 - 21 - 8

= 16

7) 9,831 what the answer guys

Answers

Answer:.00071203336

Step-by-step explanation:

PLEASE HELP ASAP!!! RUNNING OUT OF TIME!! thank you!

PLEASE HELP ASAP!!! RUNNING OUT OF TIME!! thank you!
PLEASE HELP ASAP!!! RUNNING OUT OF TIME!! thank you!

Answers

the second option, on the second attachment

domain: -6<x<-2 or x>-2

range: -3\(\leq\)y\(\leq\)1 or 4<y<8

Help me solve these problems please

Help me solve these problems please

Answers

I hope it makes sense.
Help me solve these problems please

Hawthorne company needs to create a chart to show the frequency of occurrence within customer order quantity \( [1-2,3-5,6-9 . \) \( 10+1 \). The company needs to show the information in quantity orde

Answers

To create a chart showing the frequency of occurrence within customer order quantity, the Hawthorne Company can use a bar chart or a histogram. Let's go through the steps to create the chart:

Group the customer order quantities into intervals:

Interval 1: 1-2Interval 2: 3-5Interval 3: 6-9Interval 4: 10+

Count the frequency of occurrence for each interval:

Count the number of customer orders falling within each interval.

Arrange the intervals in quantity order:

Sort the intervals based on the customer order quantities, from the smallest to the largest.

Create a chart:

Choose a suitable chart type such as a bar chart or histogram.Place the intervals on the X-axis and the frequency of occurrence on the Y-axis.Label the X-axis with the intervals (1-2, 3-5, 6-9, 10+).Label the Y-axis with the frequency of occurrence.

Plot the data:

For each interval, plot a bar or a column representing the frequency of occurrence.

By following these steps, the Hawthorne Company can create a chart that displays the frequency of occurrence within customer order quantity in quantity order from the smallest to the largest. This chart will provide a visual representation of the distribution of customer order quantities and help identify any patterns or trends.

Hawthorne Company can create a bar chart or histogram to show the frequency of occurrence within customer order quantity. The chart should display the intervals of customer order quantities in quantity order from the smallest to the largest, with the frequency of occurrence shown on the Y-axis.

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A recliner is priced at $680.50. There is an 8% sales tax rate. What is the sales tax of the recliner in dollars and cents?

Answers

Answer:

$136.10

Step-by-step explanation:

(05.02)

Solve the following system of equations: (1 point)

x − 2y = 14
x + 3y = 9

Group of answer choices

(1, 12)

(−1, −12)

(12, −1)

(12, 1)

Answers

(-1,-12) is the correct answer

can i have some help pls
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many more girls than boys are there?

Answers

Answer:

3x+5x=40

=8x=40

=x=5

then no.of boys= 3×5 = 15

and no. of girls= 5×5=25

girls more than boys= 25-15=10

mark me brainliest

pls it takes too much time to solve this

Answer:

There will be 10 more girls than boys in the class.

Step-by-step explanation:

5x+3x=40

8x = 40

8x/8 = 40/8

x = 5

5*2 = 10

John has 24 marbles in a container. he has 5 white marbles, 8 red marbles, 7 yellow marbles, and 4 green marbles. if John chooses a marble at random, what is the probability John chooses a red marble?​

Answers

Answer:

The probability of.john choosing a red marble is 33.333%

Step-by-step explanation:

All the marbles add up to 24 and there are only 8 red marbles so the ratio from the all the marbles and red is

8/24 turn that into a percentage and you'll get 33.333%

8 red marbles/24 total marbles = 1/3 is the probability john chooses a red marble

What is the product of 50x 0.08

Answers

Answer:

the answer to your question is simply

Step-by-step explanation:

4

The answer is 4

Hope this helps:)

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