Answer:
The solutions are the following:
z=2(cos(π6)+isin(π6))=√3+12iz=2(cos(2π3)+isin(2π3))=−1+i√3z=2(cos(7π6)+isin(7π6))=−√3−12iz=2(cos(5π3)+isin(5π3))=1−i√3hope this helps!! :) --Siveth
Write an equation for each situation. Then solve.
a. Karyl has x tickets for rides at the carnival. Her sister has twice as
many tickets. Together they have 18 tickets. How many tickets does
Karyl have?
Answer:
Step-by-step explanation:
Step 1: let's divide the total tickets into 2 respectively ie 18÷2=9
Step2: nw let's divede the 9 into 2 respectively and that give us 4.5. since her sister has as twice if many tickets therefore karyl has 4.5 tickets.
i need help ( no links ) ( picture attached)
Answer:
120-(30+48)= 42
Step-by-step explanation:
(u + 4.5)(1.2) please help
It takes 15 caterpillars 24 hours to eat all the leaves on the bush in Violetta's front
yard. How
many
hours would it take 18 caterpillars to eat the same bush, assuming al
caterpillars eat at the same pace?
Answer:
20 hours
Step-by-step explanation:
[tex]\frac{15}{24}[/tex]=[tex]\frac{18}{x}[/tex]
15÷18=1.2
x=24÷1.2= 20 hours
20 hours is the answer
The time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.
What is the time taken?Time taken is the inverse of the rate of work.
As it is given that the time taken by 15 caterpillars to eat all the leaves on the bush in Violetta's front yard is 24 hours, therefore, the rate at which the 15 caterpillars eat the leaves can be written as,
[tex]\rm Rate = \dfrac{\text{Number of Bush That caterpillars eat}}{\text{Time taken by the caterpillars}}[/tex]
[tex]\rm Rate = \dfrac{1}{24}[/tex]
Now, as it is the rate of 15 caterpillars, therefore, the rate of a single caterpillar can be written as,
[tex]\rm Rate = \dfrac{\frac{1}{24}}{15} = \dfrac{1}{24 \times 15}[/tex]
Now, the time taken by 18 caterpillars can be written as,
[tex]\rm Time\ taken = \dfrac{Work}{Rate \times 18}\\\\\rm Time\ taken = \dfrac{1}{\dfrac{1}{24 \times 15}\times 18}\\\\Time \taken = \dfrac{24 \times 15}{1 \times 18} = 20 \ hours[/tex]
hence, the time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.
Learn more about Work and Time:
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Test the hypothesis that the average content of containers of a particular lubricant is 15 liters if the contents of a random sample of 15 containers are 10.2, 9.7, 10.1, 10.3, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, 10.5,11.2,11.3 and 9.8 liters. Use a 0.01 level of significance and assume that the distribution of contents is normal.
Also find 95% confidence interval for the population mean. Interpret your results
Answer:
Kindly check explanation
Step-by-step explanation:
Given The samples:
X = 10.2, 9.7, 10.1, 10.3, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, 10.5,11.2,11.3, 9.8
Using a calculator ;
Sample mean, xbar = 10.27
Sample standard deviation, s = 0.462
H0 : μ = 15
H1 : μ < 15
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(10.27 - 15) / (0.462/sqrt(15))
-4.73 / 0.1192878
= - 39.65
Using the Pvalue form Tscore, calculator, df = 14
Pvalue = 0.000001,
Since, Pvalue < α ; then we reject the Null
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/√n
TCritical at 95%, df = 14
Margin of Error = 2.145 * 0.462/sqrt(15) = 0.2559
Lower boundary :
10.27 - 0.2559 = 10.0141
Upper boundary :
10.27 + 0.2559 = 10.5259
(10.0141 ; 10.5259)
The true population means should reside within the interval
Question 2
A forest ranger in an observation tower sees a bear 15 miles to the north. The ranger also knows
there are campers located 19 miles due west of her post.
To the nearest mile, how far are the campers from the bear?
O 24 miles
O 5 miles
21 miles
O 34 miles
Answer:
24 miles
Step-by-step explanation:
Please find attached a diagram explaining the question
this would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
15² + 19²
225 + 361
586
the square root of 586 = 24 miles
For which equation is a = 4 not the solution?
9 a = 36
5 a = 54
8 a = 32
Answer:
nAnI
Step-by-step explanation:
Can U Help MeSolve This?
Sequence Rule lNext Term
A. 5,9,17,33,__ l
B. 20,12,8,6,__ l
C. 2,8,26,80.__ l
D. 36,69,135,267__ l
E. 4,9,16,25,__ l
Answer:
A) 65
B) 5
C) 242
D) 531
E) 36
Step-by-step explanation:
A) Let the unknown term be x.
Difference between 5 & 9 = 4
Difference between 9 & 17 = 8 = 4×2
Difference between 17 & 33 = 16 = 8×2
It is observed that the difference between two terms is getting doubled. So,
Difference between 33 & x = 16×2 = 32
∴ x = 33 + 32 = 65
B) Let the unknown term be x.
Difference between 20 & 12 = 8
Difference between 12 & 8 = 8/2 = 4
Difference between 8 & 6 = 4/2 = 2
It is observed that the difference between two terms is getting halved.
Difference between 6 & x = 2/2 = 1
∴ x = 6 - 1 = 5
C) Let the unknown term be x.
Difference between 2 & 8 = 6
Difference between 8 & 26 = 18 = 6×3
Difference between 26 & 80 = 54 = 18×3
It is observed that the difference between two terms is getting tripled.
Difference between 80 & x = 54×3 = 162
∴ x = 80 + 162 = 242
D) Let the unknown term be x.
Difference between 36 & 69 = 33
Difference between 69 & 135 = 66 = 33×2
Difference between 135 & 267 = 132 = 66×2
It is observed that the difference between two terms is getting doubled.
Difference between 267 & x = 132×2 = 264
∴ x = 267 + 264 = 531
E) Let the unknown term be x.
4 = 2²
9 = 3²
16 = 4²
25 = 5²
It is observed that all the terms in the sequence are squares of consecutive natural numbers.
So, x = 6² = 36
Find the area of the figure. (Sides meet at right angles.) pls help i suck at math if you help me i can help with English or something like that thx
Answer:
28 square ft
Step-by-step explanation:
the whole rectangle is 5X8 = 40
Now subtrast 2 rectangle of 2x3
2(2x3) = 2x6 = 12
40-12 = 28
The sum of the digits of 1 874 (1 + 8 + 7 + 4) is equal to 20. How many natural numbers smaller than 10 000 have a sum of their digits equal to 34?
A. 8
B. 9
C. 12
D. 10
E. 11
ANSWER FAST AND NO FILES
The total of numbers smaller than 10,000 that have a sum of their digits equal to 34 is 8.
What numbers have a total sum of their digits equal to 34?Firstly, it is important to understand a number of at least 4 digits is required to have 34 by adding its digits. Now, from this principle find the possible numbers:
9997 = 349979= 349799 = 347999= 349988= 349898 = 348899 = 348989 = 34What is the total of numbers to get this result?The total numbers is 8.
Learn more about numbers in: https://brainly.com/question/17429689
The graph of f(x) = 3x2 – 5x – 22 passes through the point (0, –22) and one of its zeros is (–2, 0). What is the other zero of the function?
Step-by-step explanation:
this is your answer....
The other zero of the given function is [tex](\frac{11}{3}, 0)[/tex] .
How to find the x-intercept of a quadratic function ?Let us assume f(x) [tex]=ax^{2} +bx+c[/tex], then to find the x-intercepts of this quadratic equation, let y = 0, i.e. [tex]ax^{2} +bx+c=0[/tex]
How to find zeros of the given function ?Given, f(x)= [tex]3x^{2} -5x-22[/tex], whose one zero is (-2,0)
Now, to find the x-intercepts of the given quadratic equation, we have to take y = 0.
∴ [tex]3x^{2} -5x-22=0[/tex]
Now we have to solve this equation to find it's another zero.
[tex]3x^{2} -5x-22=0[/tex]
⇒ [tex]3x^{2} -(11-6)x-22=0[/tex]
⇒ [tex]3x^{2} -11x+6x-22=0[/tex]
⇒ [tex]x(3x-11)+2(3x-11)=0[/tex]
⇒ [tex](3x-11)(x+2)=0[/tex]
We know that, if multiplication of two terms is zero, then each of this term is seperately zero.
∴ [tex]3x-11=0[/tex] or [tex]x+2=0[/tex]
⇒ [tex]3x=11[/tex] or [tex]x=-2[/tex]
⇒ [tex]x=\frac{11}{3}[/tex] or [tex]x=-2[/tex]
So, another zero of the function is [tex](\frac{11}{3}, 0)[/tex].
Learn more about zeros of a quadratic equation here :
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7. A city is building a fence around a rectangular playground. If the perimeter of the playground is 100 feet and the length of one side of the fence is 32 feet, what is the width of the playground?
Answer:
100-32=68
Step-by-step explanation:
there are 68 feets on the playground
2 5/8 - 6 1/4 + 8 1/2
Answer:
2 5/8 - 6 1/4 + 8 1/2\
= 227 /8
Step-by-step explanation:
hope this helps :)
Let theta be and angle in quadrant IV that has reference pi/3. What is sin(theta)?
Given:
[tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex].
To find:
The value of [tex]\sin \theta[/tex].
Solution:
We know that only cos and sec are positive in quadrant IV and all other trigonometric ratios are negative in quadrant IV.
Since [tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex], therefore the value of [tex]\sin \theta[/tex] must be negative.
[tex]\sin \theta=-\sin \dfrac{\pi}{3}[/tex]
[tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex]
Therefore, the required value is [tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex].
Neee help right answers please
Answer:
Step-by-step explanation:
Divided the first 2 numbers by eachother and then by four use a calculator
Answer:
1146198.07
Step-by-step explanation:
Please please help!!!!
Answer:
4.75
Step-by-step explanation:
tan C-
I need help with this pleases help
Answer:
is 40/41 because is de answerv
Write and solve the equation that represents the sentence below. The product of 18 and a number is 109.8. Which statements are correct? Check all that apply. It can be solved by using the division property of equality. It can be solved by using the multiplication property of equality. The equation should be StartFraction x Over 18 EndFraction = 109.8. The equation should be 18 x = 109.8. The answer is 6.1. The answer is 1,976.4.
Answer:
the answer is a, d, e
Step-by-step explanation:
the product of 18 and a number is 109.8=
18n=109.8
to find n, you need to divided by 109.8 by 18. You will get 6.1
To check, replace c with 6.1.
18x6.1=109.8
Answer:
ade
Step-by-step explanation:
Match the shape with the correct formula for finding the volume.
1. Cone
2. Cylinder
3. Triangular Prism
4. Rectangular Prism
5. Pyramid
━━━━━━━━━━━━━━━━━━━━━━
Formula for finding the volume of cone - ⅓πr2h
Formula for finding the volume of cylinder - πr2h
Formula for finding the volume of Triangular Prism - Bh
Formula for finding the volume of Rectangular Prism - lwh
Formula for finding the volume of Pyramid - ⅓Bh
━━━━━━━━━━━━━━━━━━━━━━
Answer:
Pyramid: 1/3 B x H Triangular: B x H Cone: 1/3 pi r^2 x H Rectangular Prism: L x W x H Cylinder: pi r^2 x H
Step-by-step explanation:
math question!
pls help
question is in the pic
(either answer it or can you tell how to find the answer or both pls & thxxu)
Step-by-step explanation:
use the a method called tan which to find the answer u will divide 4 divide by 2 and then you find the tan of 2 to get the answer then you find tan inverse with calculator yo get the correct answer
In the triangle shown, determine Angle A to the nearest degree.
A
12 m
10 m
R
M
Answer:
12.............................Answer:
12 m
Step-by-step explanation:
this is anwer
D is going in the 4th quadrant. Please help
What is the total Fatima paid?
A student sells ice cream bars. Her weekly salary is given by , where x is the number of ice cream bars sold. Her employer determines the amount withheld for taxes using the function , where x is her weekly salary. Write the amount withheld as a function of the number of ice cream bars sold. Hint: Use composition.
9514 1404 393
Answer:
W(x) = 0.06x +30
Step-by-step explanation:
The withholding on the student's salary is ...
W(S(x)) = 0.10(0.60x +300) = 0.06x +30
Where x is the number of ice cream bars sold, the withholding is ...
W(x) = 0.06x +30
IK ANSWERS AREN’T CLEAR LOOK AT PHOTO!! HELP ASAP I WILL MARK BRAINIEST!
Answer:
a^2 b^7
Step-by-step explanation:
I believe this is right
Paola made a rectangular painting that has an area of 24 square feet. He now wants to make a similar
painting that has dimensions that are 2/3 the size of the original. What will the area of the new painting
be?
A.) 36 square feet
B.) 16 square feet
C.)12 square feet
D.) 10 2/3 square feet
Answer:
D.) 10 2/3 square feet
Step-by-step explanation:
The area will change by [tex](\frac{2}{3}) ^2=\frac{4}{9}[/tex]
multiply the area by 4/9 and you get 32/3 = 10 and 2/3 (because 10 = 30/3)
Look at the problem below.
p + q = 17
If p = 8, what is q?
B. II
A. 25
C. 9
D. 8
Answer:
C
Step-by-step explanation:
8+q=17
17-8=9
The answer is 9
You would replace p in the equation with 8, then subtract 8 from 17 leaving you with 9
I need help asap for the math
The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average dollar amount spent at his competitor's store. At the end of the day, he reviews the amounts of the last 15 grocery orders. The amounts rounded to the nearest dollar are: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50 He then visits the store of his competitor and surveys the first 15 people leaving the store with groceries. The amounts he records, also rounded to the nearest dollar, are: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69 What is the average amount of money spent at each store to the nearest cent
Answer:
The average spent at his store is of $37.60.
The average spent at his competitor's store is of $48.53.
Step-by-step explanation:
Average of a data set:
The mean of a data set is the sum of all values divided by the number of values.
His store:
15 orders.
Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50
The average is:
[tex]M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6[/tex]
The average spent at his store is of $37.60.
Store of the competitor:
15 orders
Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69
The average is:
[tex]M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53[/tex]
The average spent at his competitor's store is of $48.53.
Answer:
a) Manager's store: mean = $37.60
Competitor's store: mean = $48.53
b) Manager's store has a mean that is a better representation of the data because the competitor's data has an outlier of $112.
Step-by-step explanation:
used this for my test and it was correct.
the answer with an explanation please
Answer:
5C
6C
7D
8B
Step-by-step explanation:
5) C because median is the middle of the set of numbers source A median is 4 source B median is 6 and 4 is 2 less than 6.
6) C because there are 6 numbers altogether and 1 6s on a dice so 6+6 because we have two dice and 2 6s on both so 2/12 or simplified 1/6
7) D because mean is all the numbers add up divided by the amount of numbers so 20+25+30+20+30 = 125 and 125 ÷ 5 = 25
8 B because mean is all the numbers add up divided by the amount of numbers so
5+6+7+8+8+8+8+8+8+9+9 = 76 ÷ by 10 is 7.6
7+7+7+7+8+8+8+8+10+10 = 80 ÷ by 10 = 8
8 + 7.6 = 15.6 ÷ 2 = 7.8 and B is closest to 7.8