Given :
A complex number z = 10 - 13i .
To Find :
Which quadrant will the complex number (10 - 13i) be found.
Solution :
Coefficient of real part of complex number, r = 10.
Coefficient of imaginary part of complex number, i = -13.
Since, the coefficient of imaginary part is -ve and real part is +ve .
Therefore, the complex number is in 4th quadrant.
Hence, this is the required solution.
When graphing on the complex plane, the complex number will be in the 4th quadrant.
The standard form of expressing complex numbers is expressed z = x + iy
x is the real axis (x-axis on the coordinate point)
y is the imaginary axis (y-axis on the coordinate plane)
Given the complex number z = 10 - 13i, this shows that the imaginary axis is a negative value while the real axis is a positive value.
This shows that when graphing on the complex plane, the complex number will be in the 4th quadrant.
Learn more here: https://brainly.com/question/12375854
Larijah is creating a circular board game with a spinner with four regions that players use to determine what happens on their turns.
She wants to meet these requirements:
- Exactly half of the circle should contain the “Lose a Turn” region.
- “Move One Space” should be two times the angle as “Move Two Spaces”.
- “Move Two Spaces” should be four the angle as “Trade Places With Any Opponent”.
Answer choices:
A)14
B)27
c)48
d)66
E)51
Answer:
A. 14
Step-by-step explanation:
A circle has 360 degrees. Lose a turn region is half, so 180. 360-180=180
If the answer is A, move two spaces region would be 56 degrees because 14*4=56
56+14=70
Move one space is 2 times move two spaces so 56*2=112
112+70=182
182+180=362
182 is the closest you can get to 180 without having a decimal.
Solve the missing tables.
Answer:
Step-by-step explanation:
1 4(1) + 2 6
3 4(3) + 2 14
6 4(6) + 2 26
0 0 + 3 3
2 2 + 3 5
4 4 + 3 7
1 1 - 1 0
3 3 - 1 2
5 5 - 1 4
What solution to the inequality?
m/-2<10
Answer:
D
Step-by-step explanation:
m/-2 < 10
~Multiply -2 to both sides
m > -20
Best of Luck!
On Monday, Greg walks the entire length of a trail that is 3 1/2 miles long. On Tuesday he walks the entire length of a trail that is 4.6 miles long. On Wednesday, he starts out on a trail that is 2 1/5 miles long, but he does not walk the final 1.7 miles. How many miles does Greg walk in total on Monday, Tuesday, and Wednesday? *
A. 8 3/5
B. 8 3/50
C. 10 3/10
D. 10 3/100
The table shows one point from the given graph. How could you find more ordered pairs to create a graph and table of equivalent fractions? Check all that apply. O Include the point (0, 0), which is on every graph of equivalent ratios. Multiply both 2 and 3 by 4. O Multiply 2 by 2 and 3 by 3. O Start at the point on the grid. Move right 2 and up 3 and plot the point. O Multiply 2 by 3 and 3 by 2.
Answer:
A,B,D
Step-by-step explanation:
JUST TOOK THE QUIZ
Answer:
ABD :)
Step-by-step explanation:
sharon pays $78 sales tax on a new camera. If the sales tax rate is 6.5% what was the cost of the camera
Answer:
83.07
Step-by-step explanation:
If you multiple the original price $78 times the sale tax in decimal form 0.065 you get 5.07, $78 + $5.07 = 83.07.
Helpppppppp meeeeee plsssssss
Answer:
I can't fully tell u the answer because it's through a screen but I do know that it would be an obtuse angle over 90 degrees
Janie has \$3$3dollar sign, 3. She earns \$1.20$1.20dollar sign, 1, point, 20 for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for \$13.50$13.50dollar sign, 13, point, 50.
Write an inequality to determine the number of chores, ccc, Janie could do to have enough money to buy the CD.
Answer:
9
Step-by-step explanation:
13.50 - 3 = 10.50
1.20×8 = 9.60 = not enough
1.20×9= 10.80 = more than enough
She has to do 9 chores to have enough money including the 3 dollar she already has
Answer:
Inequality:
3+1.20c ≥ 13.5
solution = c ≥ 8.75
On the graph, have the dot closed and have it going from the point between 8.5 and 9 going to the right.
| ------------•---------- | -------------------- | ------------------> |
8.5 9 9.5 10
A grocery store is making fruit baskets using 144 apples, 108 oranges, and 90 pears. Each basket will be identical. What is the greatest number of fruit baskets the store can make using all the fruit?
⇒ 6
⇒ 9
⇒ 16
⇒ 18
Answer:
18
Step-by-step explanation:
just divided so ye .........
Gregory rode his scooter 2 miles in 30 minutes. At this rate, how far would he ride in
45 minutes?
It would be 3 miles.
write the equation of the line in slope-intercept form with slope m=4 through the point (-2,5)
Answer:
i have no idea\
Step-by-step explanation:
:D:/Need help asap isnt hard i just dont understand
Answer:
The answer is b. 35.5
Step-by-step explanation:
angle bisector always bisects an angle in to half amd in the question you have been told to tell the value of one half of the angle abc so the half of 71 would be 35.5
Which angle is not supplementary to angle 6?
Answer:
These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°:
Notice that together they make a straight angle.
supplementary angles 60 and 120
But the angles don't have to be together.
These two are supplementary because
60° + 120° = 180°
Step-by-step explanation:
After going through this module, you are expected to:
1. Describe principal roots and tells whether they are rational or irrational
2. Determine between what two integers the square root of a number is.
3. Plot irrational numbers on the number line.
1
Square Root
WEEK
3
6
Count the total number of squares of the
chess board. Prove that it has a total of 204
squares.
D
Recall that a rati
Answer:
See below
Step-by-step explanation:
Number of squares:
1x1 squares = 8*8 2x2 squares = 7*73x3 squares = 6*64x4 squares = 5*55x5 squares = 4*46x6 squares = 3*37x7 squares = 2*28x8 square = 1Total number:
8² + 7² + 6² + 5² + 4² + 3² + 2² + 1 =64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =204squares numbers:
1x1 squares = 8*8
2x2 squares = 7*7
3x3 squares = 6*6
4x4 squares = 5*5
5x5 squares = 4*4
6x6 squares = 3*3
7x7 squares = 2*2
8x8 square = 1
number total:
8² + 7² + 6² + 5² + 4² + 3² + 2² + 1 =
64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =
204
De
11/9/2015
00:00
Danielle picks 744 apples at an apple orchard. She divides the apples equally into 40 baskets
Part A
Drag a word to the box to make a true statement
ones
tens
hundreds
When dividing 744 – 40, the first digit of the quotient will be in the
place.
00:00
Part B
How many apples will be in each basket? Enter your answer in the box,
18.6
apples
00:00
Part C
How many apples will be left? Enter your answer in the box.
apples
Back
of 22
Next
Answer:
Tens
PART B: 18
PART C: 24
Step-by-step explanation:im pretty sure
Brenna needed 8 gallons of gas last week. This week, Brenna ended up needing 50% less. How much gas is that? Please answer quickly.
Answer:
4
Step-by-step explanation:
Another math question:/
Answer:
Well to start with, a coefficient is a number that is placed before a variable. In this case we have 10x+8, so the coefficient is well 10.
Step-by-step explanation:
Solve each system of equations. Equation 1: x+3y=-5 Equation 2: 9x+3y=3
Answer:
Equation 1: x-3y+5=0
Equation 2: 3x+y-1=0
Step-by-step explanation:
Equation 1: x+3y=-5
x+3y+5=-5+5
x=3y+5=0
Equation 2: 9x+3y-3=0
3x+y-1=0
A landscaping company bought 732 kilograms of mulch. If they bought 40 bags of mulch in all, what is the mass of each bag?
he map shows some geographic features of ancient Egypt.
A map titled Ancient Egypt. It has a scale from 0 to 100 kilometers and 0 to 60 miles. The Mediterranean Sea is at the top of the map. The Nile River flows north through Kush, Upper Egypt, and Lower Egypt. The Nile River Delta is in Lower Egypt next to the Mediterranean Sea. The Red Sea begins south of the Mediterranean Sea.
What does the map demonstrate about the importance of the Nile River to trade in ancient Egypt?
The Nile River allowed ancient Egyptians to export mud bricks across the region.
The Nile River gave ancient Egyptians access to trade opportunities in the Red Sea.
The Nile River allowed the ancient Egyptians to provide for their needs without trade.
The Nile River gave ancient Egyptians access to trade opportunities in the Mediterranean Sea.
Answer:
i think it is b
Step-by-step explanation:
plz mark brainliest
Answer:
b
Step-by-step explanation:
HELP ME PLEASEEEEEEE
Answer:a
Step-by-step explanation:The temperature rose by 80 so up the number line and dropped 20 so down the number line to 60
Answer:
A because there's 2 arrows
Jackie has $36 in her purse. This is 75% of all the money she has from babysitting
this week. How much money does she have in total?
А
$9
B $12
C $27
D) $48
Answer:
the answer is D. $48
Step-by-step explanation:
All you have to do is divide 36 by 75%,
so put 36 ÷ 0.75 into your calculator and 48 is your answer!
You also could've done a process of elimination.
A, B, and C are clearly not the answer bc Jackie already has $36 in her purse and the question tells us that the $36 is only 75% of all the money she has, so we are looking for a number bigger than 36.
Soooo, D. is our only logical answer since it is $48 and the last time checked 48 is greater than 36.
hope this helps!!!
Answer:
Please like this
Step-by-step explanation:
money money
Help please show your work
A chemist is raising the temperature of a liquid. The temperature is now --8.4 degrees Celsius and is increasing by 1.6 degrees Celsius per minute. How many minutes will it take it for it to take to get to 0 degrees Celsius thiz is due 3
please help me!!!!!!!!!!
brainlist asap !!
___________
1) find the simple interest: ____
principal: $6000
interest rate: 5%
time: 6 months
Answer:
150 dollars in 6 months
Step-by-step explanation:
5% of 6000 is 300 cut a year in half you get half of 300 which is 150
Given g(x) = f(x) + k. Identify a value of k that transforms finto g. Round your answer to the nearest integer. g 2 X - 14 -2 O 2 2 f k =
Answer:
k = -5Step-by-step explanation:
We can see the lines are parallel
The function f(x) has y-intercept of 2 at point (2, 0) and the function g(x) has y-intercept of -3 at point of (-3, 0)
If f(x) = mx + 2, then g(x) = mx - 3
The value of k is the difference of y-intercepts as slopes are same due to lines being parallel:
g(x) = f(x) + kk = g(x) - f(x) k = (mx - 3) - (mx + 2) k = -3 - 2 k = -5So the answer is k = -5
The number 2A5A0A2 is divisible by 99. What is the digit A
Answer:
A = 3
2A5A0A2 = 2353032
Step-by-step explanation:
Given:
2A5A0A2 is divisible by 9
2A5A0A2 can be divisible by 99 if the sum of the digits can be divided by 9
Digits A is between 0 to 9
2 + A + 5 + A + 0 + A + 2 = 9x
Where,
x = multiples of 9
9 + 3A = 9x
Make A the subject
A = (9x - 9) / 3
When x = 0
A = {9(0) - 9} / 3
= (0 - 9) /3
= -9/3
= -3
When x = 1
A = (9x - 9) / 3
= 9(1) - 9 /3
= 9-9/3
=0/3
A = 0
When x = 2
A = (9x - 9) / 3
= 9(2) -9 / 3
= 18-9/3
= 9/3
A = 3
When x = 3
A = (9x - 9) / 3
= 9(3) - 9 / 3
=27 - 9 /3
= 18/3
A = 6
When x = 4
A = (9x - 9) / 3
= 9(4) -9 /3
= 36-9/3
= 27/3
= 9
Recall, Digits A is between 0 to 9
Substituting A = 0
2050002 ÷ 99
= 20707.09
Substituting A = 3
2A5A0A2
2353032 ÷ 99
= 23,768
Substituting A = 6
2A5A0A2
2656062 ÷ 99
= 26,838.91
Substituting A = 9
2A5A0A2
2959092 ÷ 99
= 29,889.82
Therefore, the only A digit that will not give a decimal number when divided by 9 is 3
A = 3
Carol is going to be away on vacation for a couple of days. She does not know how long she will be gone. Carol, however, knows that $250 will be enough for the caretaker to feed the cats, Rover and Bobo, while she is away.
How many days can the caretaker feed the cats before Carol returns? Explain your reasoning critically.
Answer:
The answer is "$150".
Step-by-step explanation:
Please find the complete question in the attached file.
In this question first, we include the quantity of food that these cats eat daily.
[tex]\to \frac{3}{4}= 0.75\\\\\to \frac{1}{2}= 0.5 \\\\ \to 0.75+ 0.5=1.25[/tex]
They are now able to eat the total of meat we consume on a daily basis, that the food we still eat is 1,25 cans each day, and we must have the full 3 cans.
[tex]\to 1.25 \times 2=2.50[/tex]
2.5 cans and they eat 2.5 cans every 2 years with every other day so we'll have to purchase more meat. So let's go to buy some at our favourite place. 2.5 cans one another day to allow us to give the Bobo leftover .5 a can and open the new Rover can.
We also left this meal 1.25 cans, so that we can give it to them tomorrow. The feed time would not allow them to purchase food as we have the right quantity of food left. But we went for 6 cans in 4 days. Let's figure out how we're going to divide 60 by 4 =15
So we have 15 times 6 now, because that will provide us with the answer [tex]\to 15 \times 6=90[/tex]
We finally find out just how much we pay by 90 cans in 60 days so we will find out what it costs us.
That's the number of cans we get from each purchase and we will divide 90 by 3.
[tex]\to \frac{90}{3}=30[/tex]
They are going to multiply 30 times 5 now, since that is the sum of money to buy.
[tex]\to 30 \times 5=150[/tex]
dan deposits $4000 into an account that pays simple interest at a rate of 4% per year. how much interest will he be paid in 6 years
Answer:
$9,600 is what he'll earn in all but the interest that he will earn is $5600
Step-by-step explanation:
To find out the interest earned in all you multiply 4000 times .4 times 6 which is 9600 so if you want to figure out the interest paid it is 9600 - 4000 which is 5600
