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°)
To learn more about polar form
https://brainly.com/question/10307727
#SPJ11
how do you solve quadratic using square roots?ex: (p-4)²=49
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.
Answer: the answer is $796.32
Step-by-step explanation:
anyone here can someone help me plz plz I will give a Brainiest
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
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
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
To know more about median , visit
brainly.com/question/28060453
#SPJ4
whats the decimal equivalent of 16%
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!
Solve ln (3x + 7) = 1. Round to the nearest thousandth.
A. 0. 385
B. 3. 239
C. 9. 718
D. −1. 427
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.
Learn more about equation here:
https://brainly.com/question/19037377
#SPJ11
Fill in the missing numbers to complete the pattern: 6.37, 6.62, 7.37, 7.62
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
help meeeeeeeeeeeeeeeeeeeeeeee please
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
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?
Answer:
48 pounds
Step-by-step explanation:
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),
jared has mowed 2/5 of the yard abby says that jason has mowed 4/6 of the yard is abby correct explain
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?
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).
To know more about coordinates visit:
https://brainly.com/question/22261383
#SPJ11
find the distance.show your work.
intial velocity is 30.20 meter per second and time Is 32.8 second
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.
Answer:
hope it will help uh.....
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?
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.
To know more about permutation and combination, visit:
brainly.com/question/13387529
#SPJ9
How do I find the area of a triangle in a coordinate plane
factor 18s-63
A 9(2s+7)
B 6(3s-11)
C 18(s-3)
D 9(2s-7)
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
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
Answer:.00071203336
Step-by-step explanation:
PLEASE HELP ASAP!!! RUNNING OUT OF TIME!! thank you!
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
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
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.
To know more histogram visit:
https://brainly.com/question/32821538
#SPJ11
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?
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)
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?
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?
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%
What is the product of 50x 0.08
Answer:
the answer to your question is simply
Step-by-step explanation:
4
The answer is 4
Hope this helps:)