Answers
[tex]z_0=3-2i\\\\z_{n+1}=2z_n+i\\\\z_1=z_{0+1}=2z_0+i\to z_1=2(3-2i)+i=6-4i+i=6-3i\\\\z_2=z_{1+1}=2z_1+i\to z_2=2(6-3i)+i=12-6i+i=12-5i\\\\z_3=z_2+1}=2z_2+i\to z_3=2(12-5i)+i=24-10i+i=24-9i\\\\Answer:\ \boxed{6-3i;\ 12-5i;\ 24-9i}[/tex]
Related Questions
find the volume of the hemisphere with a radius of 7 inches. Round your answer to the nearest tenth.
Answers
Answer:
718 cubic inches
Step-by-step explanation:
The formula for a sphere is [tex]V=\frac{4}{3} \pi r^{3}[/tex]. A hemisphere is half this value. We will find the volume and then divide it in half. We substitute r=7 inches.
[tex]V=\frac{4}{3} \pi r^{3}\\V=\frac{4}{3} \pi (7^{3})\\V=\frac{4}{3} \pi (343)\\V=1,436 inches^3[/tex]
We divide 1,436 by 2 for the volume of a hemisphere. V= 718 cubic inches
6.5 divided by 6804 or 6804 divided in to 6.5 plz help
Answers
when you divide 6.5 into 6804 you don't get a whole number. you decimals. when you break it down it turns out to be 0.001. if you use a calculator you going to get get the same answer.
6.5/6804 = 0.009553203
the answer is approximately 0.001
Trayvon bought 3 gallons of milk at the supermarket. How many quarts of milk did he buy?
Answers
He bought 12 quarts of milk.
Answer:
There are 4 quarts in a gallon. 3x4=12. He bought 12 quarts of milk.
Step-by-step explanation:
One day jasmine earned $25.20 for 6 hours of work. Another day, she earned $16.80 for 4 hours of work. Which function shows how much jasmine earns (c) for working (h) for hours?
Answers
Jasmine earns $4.20 per hour of work. The function that represents her earnings (c) for working h hours is c = 4.2h.
Explanation:From the provided information, we know that Jasmine earns $25.20 for working for 6 hours one day, and $16.80 for working 4 hours the next day. The rate at which Jasmine is paid can be determined by dividing her earnings by the hours she works, otherwise known as her wage rate.
For the first day:
Wage rate = $25.20/6 = $4.20 per hour
For the second day:
Wage rate = $16.80/4 = $4.20 per hour
Thus, we can conclude that Jasmine earns $4.20 per hour. Therefore, the function for Jasmine's earnings (c) for working h hours is given by:
c = 4.2h
Where 'c' represents the total earnings and 'h' represents the hours worked.
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The function that shows how much Jasmine earns (c) for working (h) hours is c = 4.20h.
Explanation:The function that shows how much Jasmine earns for working for a certain number of hours can be determined by finding the rate of earnings per hour. We can calculate the rate of earnings by dividing the total earnings by the number of hours worked. Let's use the given information to find the rate of earnings for Jasmine:
Rate of earnings for the first day: $25.20/6 = $4.20 per hour
Rate of earnings for the second day: $16.80/4 = $4.20 per hour
Therefore, the function that shows how much Jasmine earns (c) for working (h) hours is c = 4.20h.
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Audrey's parents give her $5 to play video games at the mall.Each games costs a quarter to play.which choice is NOT a correct method for determining the total #of games she can play. A.Take the #of dollars she has and divide it by 1/4. B.Take the # of dollars she has and multiply it by 4. C.Take the # of dollars she has and divide it by 0.25. D.Take the # of dollars she has and multiply by 0.25
Answers
dividing by a number is the same as multiplying by it's reciprocal. since she is dividing by .25, she needs to multiply by the reciprocal (4,) but instead, she is just multiplying by .25.
Answer:
Step-by-step explanation:
If answer A works then so will Answer A. The reason is because 1/4 and 0.25 are equal to one another. The only comment you should recognize is that
5/0.25 is a whole lot easier to do than 5/(1/4)
B is the same thing as C when you apply the division by fractions rule.
D is the odd method out. Instead of 20 games (5 * 4) she will only get to play 4. That because she has 5 dollars and if you multiply by 0.25 you get 1.25 games
The earnings of a barber vary directly as the number of customers he serves. Earl serves 10 customers and earns $25.00. How much will he earn if he serves 15 customers?
A.
$38.50
B.
$39.00
C.
$36.50
D.
$37.50
Answers
Answer:
37.5
Step-by-step explanation
Th ratio is 2.5 to 1. So then I just multiplied 2.5 to 15 and got the answer!
Hope it helps, if it is right please tell me!
Answer: $37.50
Step-by-step explanation:
$25.00 / 10 = $2.50
$2.50 * 15 = $12.50
$12.50 + $25.00 = $37.50
PLEASE HELP MEH! God bless yall
Answers
Answer: -1
Step-by-step explanation:
I think because if u graph it you can count the boxes down and to the side and you get -1
Answer: D) -1
Step-by-step explanation: Use the slope formula and plug in two points form tha table.
I chose the first two (3, -5) and (6, -8)
Y2-y1/x2-x1
-8--5/6-3
Hope it helps!
Kassidy wants to prove that the interior angles of any triangle sum to 180°. She draws a line through one vertex parallel to the opposite side, and then she labels all the angles formed.
Drag a reason to match each statement in Kassidy's two-column proof in the table below.
Answers
Answer:
First box: A straight line measures 180 degrees
Second box: Alternate interior angles theorem
Step-by-step explanation:
All lines are straight, and therefore measure 180 degrees
You can see that the red line is parallel to the line with angles 2 and 3. Alternate interior angles are two interior angles which lie on different parallel lines and on opposite sides of a transversal. Which justifies step 2
Answer:
1.A straight line measures 180 degrees
2.Alternate interior angles theorem
Step-by-step explanation:
We have to prove that
Sum of interior angles of any triangle =180 degrees
Proof:
1.[tex]m\angle 1+m\angle 4+m\angle 5=180^{\circ}[/tex]
Reason: A straight line measures 180 degrees
2.[tex]\angle 4\cong\angle 2[/tex]
[tex]\angle 5\cong \angle 3[/tex]
Reason:Alternate interior angles theorem
3.[tex]m\angle 4=m\angle 2,m\angle 3=m\angle 5[/tex]
Reason: by definition of congruent angles.
4.[tex]m\angle 1+m\angle 1+m\angle 3=180^{\circ}[/tex]
Reason: By substitution
Hence, proved.
I'm literally so confused right now please help!!!
Answers
Answer:
250
75
40
Step-by-step explanation:
The pattern is 25
4*25= 100
10*25= 250
3*25= 75
40*25=1000
The sun of the roots of 3x^2+11x-4=0
Answers
[tex]ax^2+bx+c=0\\\\x_1,\ x_2-the\ roots\\\\x_1+x_2=\dfrac{-b}{a}\\-------------------------\\\text{We have}\ 3x^2+11x-4=0\\\\a=3,\ b=11,\ c=-4\\\\\text{Substitute:}\\\\x_1+x_2=\dfrac{-11}{2(3)}=-\dfrac{11}{6}\\\\Answer:\ \boxed{-\dfrac{11}{6}}[/tex]
what is the solution of 3p+2≥−10
Answers
Answer:
the solution os 3p+2≥-10 is p≥-4
Step-by-step explanation:
So.... 3p+2≥-10
-2 -2
3p≥-12
and then you divide...... 3p≥-12
3 3
p≥-4
What is the equation of this line?
a) y=2x−3
b) y=−12x−3
c) y=−2x−3
d) y=12x−3
Answers
Answer:
Not sure but i think its C. y=-2x-3
Answer:
y = 2x - 3
Step-by-step explanation:
I WILL AWARD BRAINLIEST!
In the figure, a║b. Find x+y in terms of z and w.
A. 180°+z−w
B. 180°–z−w
C. w−z
D. 180°+w−z
Answers
Answer:
A. 180°+z−w
Step-by-step explanation:
We know that x + w = 180 because they are same side exterior angles and a and b are parallel.
z=y because they are alternate interior angles and a and b are parallel.
x + w = 180
Solve for x by subtracting w from each side
x = 180-w
y =z
Lets find x+y
x+y
(180-w) +z
Rewriting
180+z-w
Answer:
A. 180º + z - w
Step-by-step explanation:
x + w = 180, because they are same side exterior angles, and are on opposite sides.
z = y, because if you move z down, then you will see that they overlap.
From x + w = 180, you can get x = 180 - w.
We are trying to find x + y in terms of w and z, so:
x = 180 - w
y = z
With that, you can assemble the expression, 180 - w + z.
If you re-arrange, you will get 180 + z - w.
Therefore, A is the answer.
mr. wilson paid $45 for honey. this amount includes a tax of 8%. what was the cost of the honey before tax?
Answers
Answer:
$3.60
Step-by-step explanation:
Answer:
$41.40
Step-by-step explanation:
You just have to do $45.00-8%
What is the value of the expression -8/9 divided by -2/3 multiplied by -4 1/
Answers
Answer:
[tex](\frac{-8}{9}) / (\frac{-2}{3}) * (\frac{-4}{1} )\\\\= (\frac{-8}{9}) * (\frac{3}{-2}) * (\frac{-4}{1} )\\\\= (\frac{4}{3}) * (\frac{1}{1}) * (\frac{-4}{1} )\\\\= \frac{-16}{3}[/tex]
What are the posible rational zeros of f(x)= x4 +6x^3-3x^2+ 17x-15
Answers
[tex]w(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+...+a_1x+a_0[/tex]
The posible rational zeros of w(x) are:
[tex]\pm\text{dividers of}\ a_0\ \text{and}\ \pm\dfrac{\text{dividers of}\ a_0}{\text{dividers of}\ a_n}[/tex]
[tex]f(x)=x^4+6x^3-3x^2+17x-15\to a_n=1,\ a_0=-15[/tex]
[tex]\text{dividers of}\ a_0= 15:\ \ 1,\ 3,\ 5,\ 16\\\text{dividers\ of}\ a_n=1:\ \ 1[/tex]
Answer:
[tex]\{\pm1,\ \pm3;\ \pm5;\ \pm15\}[/tex]
TANGENT LINES FIND PERIMETER
Answers
Since we now know this rule, we can see that, for each point of the polygon you are given 1 out of 2 tangent lines for that point. Using this theorem, we can say that the other tangent line is equal to the first.
So, the bottom two tangents are 98 and 98, the right-side are both 22 and 22, the top are both 27 and 27, and the left are 22 and 22. We need to find the perimeter, or the sum of all the sides of the polygon. Seeing as the sides of the polygon are formed by all the tangent lines, we just have to find the sum of all the tangent lines.
98 + 98 + 22 + 22 + 27 + 27 + 22 + 22 =
= 196 + 88 + 54 (or 2*98 + 4*22 + 2+27) =
= 338 inches
I hope this wasnt too confusing.
to give money and spread awareness of homelessness Alaska made an organization and gets money for the homeless from fees from new members.There were 587 new members that were 18-24 years old and they have to pay $10 in fees.The rest who were older than 24 years old had to pay $15 in fees.If there are 1942 new members in total,how much money did Alaska contribute to stop homelessness?
Answers
Answer:
$26,195.
Step-by-step explanation:
total of new members(1942) - age group 18-24 (587)= new members(1355) to pay $15 each in fees.
1942-587=1355 x$15=20,325
next: take age group 18-24 (587)and multiple by $10 fee
587 x$10=5,870
last add both numbers together:
$20,325+ $5870=$26,195
what percent of 20 is 6
Answers
Answer: 30 percent of 20 is 6.
_______________________________________________
Step-by-step explanation:
_______________________________________________
(n/100) * 20 = 6 ?
Solve for "n" .
_______________________________________________
Divide each side of the equation by "20" :
{ (n/100) * 20 } / 20 = 6 / 20 ;
to get:
n/100 = 6/20 ;
↔ 6/20 = n/100 ; solve for "n" ;
Look at the denominators:
20 * ? = 100 ?
100/ 20 = ? ;
100/20 = 5 ;
So, 20 * " 5" = 100 ;
Then 6* 5 = "n" (for the numerator, "n"; in : "n /100" ) ;
→ 6 * 5 = 30 ;
→ n = 30 .
_______________________________________________
Answer: 30 percent of 20 is 6.
_______________________________________________
Select the descriptions that are true of the equation y - 6= - 3(x+2). Select all that apply.
slope = 1
slope = -3
(2, -2) is a point on the line.
(-2, 6) is a point on the line.
Select the equation written in point-slope form.
2x - y=4
y=2x-4
y+2=2(x - 1)
y - x=4
Answers
The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We have
[tex]y-6=-3(x+2)\to y-6=-3(x-(-2))[/tex]
Therefore
slope = -3 and the point (-2, 6)------------
y + 2 = 2(x - 1)2x - y = 4 it's standard form Ax + By = C
y = 2x - 4 it's slope-intercept form y = mx + b
y - x = 4 → x - y = -4 t's standard form Ax + By = C
What is the shortest driving distance from the animal shelter to the stadium?
Answers
Answer:
7 miles
Step-by-step explanation:
Four miles plus 3 miles = 7 miles
The shortest driving distance from the animal shelter to the stadium can be found using a map or a GPS system, which considers all possible routes and chooses the one with the least distance.
Explanation:The shortest driving distance between two locations, in this case, from an animal shelter to a stadium, can be discovered by using geographical tools such as a map or GPS system. These tools can provide data on distance with respect to various routes, allowing you to choose the shortest one.
For example, assume the animal shelter is at Place A, and the stadium is at Place B. The GPS system will analyze all possible routes from A to B, consider traffic conditions, road detours, and provide you with the option that covers the least amount of miles/kilometers and saves the most time. This is considered the shortest driving distance.
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Probability and Stat. Help
Answers
Answer: 0.6 (choice B)
x = number of days the book has been checked out
Check out the attached image below. I've marked 3 boxes in red to represent the bars that span from x = 9 to x = 18. The heights of these bars add up to 0.15+0.30+0.15 = 0.45+0.15 = 0.60
So if we randomly pull out a book, then the chances of picking a book that has a x value between 9 and 18 (including 9; excluding 18) is 0.60
Please help me!!!! PLEaaAe because my teacher won’t :~~(
Answers
Answer:
min = 67, Q1 = 68, median = 70,
Q3 = 76, max = 78
We have 9 observations.
The correct set of data is:
67, 74, 78, 69, 78, 70, 67, 72, 69
When we rearrange this set of data in numerical order, we have:
67, 67, 69, 69, 70, 72, 74, 78, 78
Can someone solve this for me plz
Answers
11. Answer: cats = $7.33 or less, dogs = $11 or less
Step-by-step explanation:
Let c represent cats and d represent dogs, then
3c + 2d ≤ $22
If he spends $0 on the dogs, then 3c ≤ $22 ⇒ [tex]c\leq \dfrac{22}{3}[/tex] ⇒ c ≤ $7.33
If he spends $0 on the cats, then 2d ≤ $22 ⇒ [tex]d\leq \dfrac{22}{2}[/tex] ⇒ d ≤ $11
Therefore, he can spend a maximum of $7.33 on each cat and a maximum of $11 on each dog.
12. Answer: [tex]\dfrac{2}{5}[/tex]
Step-by-step explanation:
2 pounds of trail mix divided by 5 friends
= 2 pounds trail mix ÷ 5 friends
[tex]= \dfrac{2\text{ pounds trail mix}}{5\text{ friends}}[/tex]
[tex]= \dfrac{2}{5} \text{ pounds trail mix per friend}[/tex]
A stem-and-leaf plot has the key 3|4 = 34. How would the value 8 be represented? 1. 3|8
2. 1|8
3. 8|0
4. 0|8
Answers
Answer:
4. 0|8
Step-by-step explanation:
key 3|4 = 34
The first digit is the tens place and the second digit is the ones place
8 can be represented as 08
0|8 would be 08
Answer:
4. 0 | 8
Step-by-step explanation:
Note that in the stem-and-leaf plot example given to us, 3 | 4 = 34.
From this, we can assume that the left side of | represents the tens place, while the right side of | represents the ones place value.
It is asking what the value 8 represents in 3 | 8. From the example that we see above, we know that the number given is 38. the value of 8 in this number represents the one's value.
0 | 8 is your best answer, for there is no tens place.
~
What is 3 and 5? And show how to solve plz
Answers
Answer:
3. 9n + 6 = 78
5. see below
Step-by-step explanation:
3.
Let the number of adults be n. Each adult ticket costs $9, so the cost of n adult tickets is 9n. There is only one child, and a child's ticket is $6, so the cost of the child's ticket is 6. Adding the costs, you get 9n + 6. The total cost is $78, but the expression representing the total cost is 9n + 6, so 9n + 6 must equal 78. That is the equation.
9n + 6 = 78
5.
Sam bought equal gifts for his two children. The two gifts had the same price, x. He received a discount of $125. How much did each of the two gifts cost before the discount?
3. Tell how to convert from an improper fraction to a mixed number.
Answers
Answer:
Step-by-step explanation:
1. Divide the numerator by the denominator.
2. Write down the whole number answer.
3. Write down any remainder above the denominator.
use the explicit formula to find the 41st term of the sequence, 10,4,-2,-8
GIVING 65 POINTS
Answers
What we know here is that the pattern subtracts 6 every nth value progression.
We can create a explicit formula for this sequence.
let the output be f(n)
let term # = n
so the formula would be...
[tex]f(n)=10-6(n-1)[/tex]
If we plug in the value 41 for n
[tex]f(n)=10-6(41-1)\\f(n)=10-6(40)\\f(n)=10-240\\f(n)=-230[/tex]
41st term of the sequence is -230
Three friends decide to evenly split their bill at a restaurant. The total bill is $84.99 and they will have to pay an additional $5.10 tax. One of the friends determines that each person owes $45.04. Estimate the amount each person should owe. Is the friend's calculation reasonable? Select from the drop-down menus to complete the sentence. The friend's calculation because each person should owe about .
Answers
Given : The Total Bill at the Restaurant is $84.99
Given : The Additional Tax is $5.10
⇒ Total Bill Including the Tax is : (84.99 + 5.10) = $90.09
Given : Three Friends decide to evenly split their Bill
⇒ $90.09 should be Divided into 3 Equal Parts
[tex]\mathsf{\implies The\;Amount\;each\;person\;should\;owe\;is = (\frac{90.09}{3})}[/tex]
[tex]\mathsf{\implies The\;Amount\;each\;person\;should\;owe\;is = 30.03\;Dollars}[/tex]
His Friend Calculation is not Reasonable
The friend's calculation of each person owing $45.04 is not reasonable as the correct amount should be $30.03 per person when evenly splitting a bill of $84.99 with an additional $5.10 tax.
To determine whether the friend's calculation of $45.04 each for splitting a bill of $84.99 with an additional $5.10 tax is reasonable, let's calculate the correct amount each person should owe. First, we combine the total bill and tax: $84.99 + $5.10 = $90.09. Then, we divide this total by three, as there are three friends: $90.09 / 3 = $30.03 per person.
The friend's calculation is not reasonable because each person should owe about $30.03, not $45.04. The estimate of $45.04 is significantly higher than the accurate calculation.
what is the r^2 value of the following data to three decimal places???
Answers
Answer:
0.783
Step-by-step explanation:
To find first r and then r square for the data
n statistics, the coefficient of determination, denoted R2 or r2 and pronounced "R squared", is the proportion of the variance in the dependent variable that is predictable from the independent variable(s).
correlation coefficient of x and y = Cov (x,y)/std dev x * std dev Y
Cov (x,y) = E(xy) -E(x)E(y)
Hence calculations would be as follows:
x y xy
1 2 2
2 10 20
5 5 25
7 18 126
10 25 250
Mean 5 12 84.6
Cov E(xy)-E(x)E(y) 24.6
r 0.884640297
r^2 0.782588454
so answre is 0.783 after rounding off.
Answer:
0.783
Step-by-step explanation: