Answer:
Z0 = 7 ( cos 60° + isin60°)
Z1 = 7( cos180° + isin180° )
Z2 = 7 ( cos300° + isin300°)
Step-by-step explanation:
Given that;
cube root of -343
so, z = -343 + 0i
∴ r = √ (( -343)² + (0)²) = 343
so tan∅ = y/x ⇒ tan∅ = 0/-343
∅ = tan⁻¹ (0/-343)
= 0 or 180°
but we are going yo make use of 180° since -343 is negative x-axis
Zk = ∛343 ( cos 180/3 + 360K/3) + isin(180/3 + 360k/3)
here k = 0, 1, 2, 3 .........
SO z0 = z1 = z2 = ???
k=0
Z0 = ∛343 ( cos 180/3 + isin180/3)
= ∛343 ( cos 60° + isin60°)
Z0 = 7 ( cos 60° + isin60°)
K=1
Z1 = ∛343 ( cos 180/3 + 360×1 / 3 + isin180/3 + 360×1 / 3 )
= ∛343 ( cos180° + isin180°)
Z1 = 7( cos180° + isin180° )
K=2
Z2 = ∛343 ( cos 180/3 + 360×2 / 3 + isin180/3 + 360×2 / 3 )
= ∛343 ( cos300° + isiN300°)
Z2 = 7 ( cos300° + isin300°)
The following are the annual salaries of 15 chief executive officers of major companies. (The salaries are written in thousands of dollars.)
157, 700, 1250, 767, 381, 495, 248, 75, 586, 224, 723, 472, 743, 676, 271
Required:
Find 25th and 70th percentiles for these salaries.
Answer:
The 25th percentile is 248.
The 70th percentile is 700.
Step-by-step explanation:
The pth percentile is a data value such that at least p% of the data-set is less-than or equal to this data value and at least (100-p)% of the data-set are more-than or equal to this data value.
Arrange the data set in ascending order as follows:
S = {75 , 157 , 224 , 248 , 271 , 381 , 472 , 495 , 586 , 676 , 700 , 723 , 743 , 767 , 1250}
The formula to compute the position of the pth percentile is:
[tex]p^{th} \text{Percentile}=\frac{(n+1)\cdot p}{100}[/tex]
Compute the 25th percentile as follows:
[tex]25^{th} \text{Percentile}=\frac{(15+1)\cdot 25}{100}=4^{th}obs.[/tex]
The 4th observation from the arranged data set is 248 .
Thus, the 25th percentile is 248.
Compute the 70th percentile as follows:
[tex]70^{th} \text{Percentile}=\frac{(15+1)\cdot 70}{100}\approx 11^{th}obs.[/tex]
The 11th observation from the arranged data set is 700.
Thus, the 70th percentile is 700.
10 POINTS IF SOMEONE COULD HELP ME WITH THIS!! :(
Elevator 1 in a building moved from ground position to a final position of +16 feet. Elevator 2 in the same building moved from ground to a final position of –25 feet. Which statement best describes the final positions of these two elevators?
a) Elevator 1 is 16 feet below ground level, and elevator 2 is 25 feet above ground level.
b) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.
c) Elevator 1 is 16 feet above ground level, and Elevator 2 is 25 feet below the position of Elevator 1.
d) Elevator 1 is 16 feet below ground level, and Elevator 2 is 25 feet above the position of Elevator 1.
Answer:
Your answer is B) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.
Mark as brainliest if it's correct!
Find the distance between the points (-3, -6) and (1, -2).
Answer: -3 - 1 = -4
Your Answer I think is -4 Hope This helps If I'm Wrong I apoligize.
68 over 100 is what %
Answer: it should be 68%
-5n - 2 =38.... how dobi solve this problem and show my work
Answer:
[tex] \boxed{ n =- 8}[/tex]
Step-by-step explanation:
[tex]-5n - 2 =38 \\- 5n = 38 + 2 \\ -5n = 40 \\ n = -\frac{40}{5} \\ \boxed{ n =- 8}[/tex]
♨Rage♨
Answer:
Today: Friday, 06 November 2020
Hour: 09.42 WIB (Indonesia)
_______________________________
-5n - 2 = 38
-5n = 38 + 2
-5n = 40
n = 40/-5
n = -8
PLEASE HELP ME!!! ASAP!! ITS ALMOST DUE!!
Answer:
I'm pretty sure it's the first one. If i'm wrong i am terribly sorry
Step-by-step explanation:
Answer:
Y-intercept is -6 and the slope is 1
Step-by-step explanation:
You can use Y2-Y1/X2-X1 to find the slope. Then, you can use y=mx+b to find the y-intercept.
a small apple weighs 6.2 ounces and it’s divided into 4 equal parts how much does each piece weigh?
A line passes through the points (8, 1) and (6, 7). What is the slope?
Answer:
-3
Step-by-step explanation:
7-1=6
6-8=-2
A line connects the points (8, 1) and (6, 7). The angle is -3.
What is meant by slope?The slope or slope of a line is a number in mathematics that describes both the direction and slope of a line. Gradients are frequently represented by the letter m.There is no clear reason why the letter m is used for gradients, but it was first used in English by O'Brien (1844), who wrote the equation for a straight line as "y = mx + b."He is also depicted in Tod Hunter's (1888) work, where he wrote "y = mx + c."The slope is calculated by dividing the difference between two (arbitrary) points on a line by the ratio of vertical and horizontal change.Therefore,
Slope (m) = ΔY/ΔX
= 3/-1
= -3
The slope = -3
θ = arctan(ΔY/ΔX) + 180°
=1 08.43494882292°
ΔX = 6 – 8 = -2
ΔY = 7 – 1 = 6
Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368
Equation of the line:
y = -3x + 25
When x = 0, y = 25
When y = 0, x = 8.3333333333333
Hence, A line connects the points (8, 1) and (6, 7). The angle is -3.
To learn more about slope, refer to:
brainly.com/question/16949303
#SPJ2
what is the average speed of 600 meters and 40 seconds
Answer:
15 meters per secondStep-by-step explanation:
aver speed = distance / time
= 600 meters
40 seconds
= 15 meters per second
Need help ()()()()()((;(;
Answer:
20%
Step-by-step explanation:
4/20 = x/100
100*4 =400
400/20 = 20
so
4/20 = 20/100
The art department is ordering paint supplies for their next project. They have $200 in their budget for paint and brushes. Each paint tube costs $12 and each brush costs $2. If the department buys 27 brushes, what is the most number of paint tubes they can buy?
Answer:
12
Step-by-step explanation:
27 times2 is 54 -200 =146 12 times 12 is 144 and you cant go over 146 for 13 please mark brianly
According to the steps in problem 4, what is the fraction equivalent of 0.5? 9/5 4/9 5/9 5/13
Answer:
C. 5/9Step-by-step explanation:
10x = 5.5
-x = 0.5
9x = 5
x = 5/9
therefore, the answer is C. 5/9
Here is my question. Take your time because this is a hard question.
Answer: x=25
Step-by-step explanation:
This is mainly algebraic calculations, so it's just using operations. You can open the parentheses in any order you want, but I started with the numerator of the first expression. I simplified it to get 3.8-3.3, which is the same as 0.5 Then I moved on to the denominator of the second equation. Distribute the 0.8, then add it to 3.2, getting 5. The numerator is a bit trickier. There's a lot of LCMs to find, but first multiply 5/66 by 2 1/2. You can use the butterfly method to simplify it, and get 1/33. Use LCMs to subtract the 3 fractions, getting a result of 1/12. Using cross multiplication, you get the result of x=25.
What is the slope and equation of a line perpendicular to the y-axis passing through point (–5, –3)?
Answer:
Slope: m = 0
Equation: y = -3
Step-by-step explanation:
A line perpendicular to the y-axis always has a slope of 0. Slope is calculated by (y2-y1)/(x2-x1) or rise/run or delta y/delta x (they're all the same thing, delta means difference and is notated with a triangle). When there is no change in y (perpendicular to the y-axis), no matter what the change in x is, the slope will be 0.
Since it is given that one of the points has a y-value of -3, the equation for this line would be y = -3. The formula for a linear equation is y=mx+b. Since the slope is 0, the value of mx is 0, and therefore not needed in the equation. b represents the y-intercept and in this case would be -3.
Solve for w.
w−8=32
w = 4
w = 24
w = 40
w = 256
Answer:
w=40
Step-by-step explanation:
Let's solve your equation step-by-step.
w−8=32
Step 1: Add 8 to both sides.
w−8+8=32+8
w=40
You work in a hospital, and instructions for an instrument state that it should be cleaned in the
sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many
minutes do you set for the sterilizer?
A. 90
B. 120
C. 180
D. 240
E. 500
Answer:
B
Step-by-step explanation:
120/60=2
2 hours
The time required in minutes to set the sterilizer is 120. The correct option is B.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that you work in a hospital, instructions for an instrument state that it should be cleaned in the sterilizer for two hours.
The time in minutes will be calculated as:-
Time = 2 hours
Time = 2 x 60 minutes
Time = 120 minutes
Therefore, the time required in minutes to set the sterilizer is 120. The correct option is B.
To know more about an expression follow
https://brainly.com/question/11096532
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Desmond follows a recipe that uses 4 cups of flour for each pizza crust he makes. If he makes 16 pizza crusts, how many cups of flour does he use?
Answer:
64 cups of flour
Step-by-step explanation:
Each crust uses 4 cups of flour.
So, 16 crusts uses 64 cups of flour. (16x4)
Question 7
Which radical expression consists of two perfect squares?
A
V16
B
V25
С
125
D
V21
Answer:
A. √16
Step-by-step explanation:
A perfect square is any number that can be expressed as a product of an integer and itself. i.e. 4 can be represented as 2 × 2. Therefore, 4 is a perfect square.
From the options given, the only radical expression that has two perfect square is √16.
√16 consists of two perfect squares, which are 4 and 4.
4 can be expressed as 2 × 2.
Thus: √16 = √(2 × 2)(2 × 2).
Therefore, √16 consists of two perfect squares.
f(2)=3x^2-6x+2
I need help!!!
Answer:
2
Step-by-step explanation:
substitute x by the value in the function, here its f(2) so
3(2)^2 - 6(2)+2
= 12 - 14 = 2
George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?
Answer:
$635.25
Step-by-step explanation:
He works 35 hours a week, multiply that by $18.15 and you get $635.25.
For which equations is 8 a solution. select 4 answers
X+6=2
X+2=10
X-4=4
X-2=10
2x=4
3x=24
X/2=16
X/8=1
Please hurry im timed
Answer:
X/8=1
X-4=4
×+2=10
Step-by-step explanation:
hope this helps :)
Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer. What is Jo’s error? Negative 42 divided by negative 7 = 6 Jo should have rounded the dividend to –40. Jo should have rounded the divisor to –6. Jo should have divided –7 by –42. Jo should have divided –7 by –7.
The correct answer is C) Jo should have rounded the divisor to –6.✅
{trust me, the answer is C}
We Wish You a Merry Christmas ❤
IamSugarBee
Answer:
c. Jo should have divided –7 by –42.
Step-by-step explanation:
Edge 2020
Ajay left x and y at 9 am.At the same time bala left y and x.After their meeting at a point on the way.Ajay took 16 minutes to reach y and bala took 9 minutes to reach x .Find the meeting time?
Answer:
9:12 amStep-by-step explanation:
Let the time Ajay and Bala took to meet be t, speed of Ajay be a and speed of Bala be b
Until they met, the distance they made:
Ajay ⇒ at Bala ⇒ btNow, the rest of the distance took Ajay 16 min and Bala 9 min.
We can compare the distances as:
16a = bt9b = atFrom the first equation we have:
a/b = t/16From the second equation we have:
a/b = 9/tComparing:
t/16= 9/tt² = 9*16t² = 144t = √144t = 12 minThe meting time is:
9:00 am + 12 min = 9:12 amThe dolphin dives 20 feet below the surface of the ocean. What is the dolphins elevation in feet?
Answer:
-20 Feet.
The dolphin went below its initial starting point, Zero
Help me with precal pleaseee
Answer: Choice C
[tex]\left[0 , \frac{\pi}{2}\right) \ \ \text{ and } \ \ \left(\frac{\pi}{2}, \pi\right][/tex]
==================================================
Explanation:
Let's look at the function y = sec(x) first, which is the secant function.
Recall that secant is 1 over cosine, so sec(x) = 1/cos(x)
We can't divide by zero, so cos(x) = 0 can't be allowed. If x = pi/2, then cos(pi/2) = 0 will happen. So we must exclude pi/2 from the domain of sec(x).
If we look at the interval from 0 to pi, then the domain of sec(x) is [tex]0 \le x < \frac{\pi}{2} \ \ \text{ and } \ \ \frac{\pi}{2} < x \le \pi[/tex]
we can condense that into the interval notation [tex]\left[0 , \frac{\pi}{2}\right) \ \ \text{ and } \ \ \left(\frac{\pi}{2}, \pi\right][/tex]
Note the use of curved parenthesis to exclude the endpoint; while the square bracket includes the endpoint.
So effectively we just poked at hole at x = pi/2 to kick that out of the domain. I'm only focusing on the interval from 0 to pi so that secant is one to one on this interval. That way we can apply the inverse. When we apply the inverse, the domain and range swap places. So the range of arcsecant, or [tex]\sec^{-1}(x)[/tex] is going to also be [tex]\left[0 , \frac{\pi}{2}\right) \ \ \text{ and } \ \ \left(\frac{\pi}{2}, \pi\right][/tex]
pls answer these as quick as possible
Answer:
what are we suppost to answer??
Step-by-step explanation:
what is the percentage of change for the cost of cheeseburger if in the year of 2000 it was $5.00 and in 2015 is $6.50.
Answer:
$2.50
2015: $2.00
2000: $7.50
2000: $5.00
2000: $2.00
2015: $9.00
2015: $6.50
2015: $4.50
2010
1. what is the percent of change in the cost of a pizza? _ a
x 150
100 1.50 p1500 750 1155oo.
150 isg
pi
2. what is the percent of change in the cost of a cheeseburger?
175
6.50
1.50
Step-by-step explanation:
Help fast Fast Fast Fast
Answer:
0,5
Step-by-step explanation:
Missing number 5 or it can be a 0
This is beacause a number that ends with 0 or 5 is divisible by 5. Divisibilitiy rules state that!
Ex: 5 x 5 = 25
5 x 4 = 20
Isabella deposited $2000 in an account that pays 5% simple annual interest after one year how much interest will her investment pay
Answer:
100
Step-by-step explanation:
5% of 2000 is 100
1)What Is Cos(150) ,sin(150), tan(150)
Answer:
cos(150)=−√32 sin(150)=12. Explanation: First of all, observe that 150=180−30 . Then, remember that we have. cos(180−x)=−cos(x)
Step-by-step explanation:
