Answer:
z = 20(cosπ/6 + isinπ/6)
Step-by-step explanation:
Given the complex value
z1 = -10√3 - 10i
The polar form of the complex number is expressed as;
z = r(costheta + isintheta)
r is the modulus of the complex number
theta is the argument
r = |z1| = √x²+y²
r = √(-10√3)²+(-10)²
r = √(100(3)+100
r = √400
r = 20
theta = tan^-1(y/x)
theta = tan^-1(-10/-10√3)
theta = tan^-1(1/√3)
theta = 30°
Substitute into the polar form
z = 20(cos 30°+isin30°)
z = 20(cosπ/6 + isinπ/6)
-1/4 - 1/2 divided by -4/7
Answer:
21/16 is 1.3125
Step-by-step explanation:
-1-4-1/2
-1/4-2/4
-1-2 is -3/4
-3/4 / -4/7
-3/4 *-7/4
--21/16 which is +21/16
While visiting Crimson Lake, Sally decided to go kayaking. The rangers charge $8.50 per hour in addition to a $25.00 deposit to rent the kayak. If she rented the kayak from 11:30 am to 2:30 pm, find the total cost to rent the kayak.
plz help asap
this is linear equation
Answer:
50.50
Step-by-step explanation:
Question; 8.50x+25
x=number of hours rented
answer: 50.50
Ms. Field counts chapter tests as 40% of a student’s grade, homework as
20%, quizzes, and classwork as 20%, and final exams at 20%. Lydia has an
average of 89 before the final. What score must she get correct on the
final to bring her grade up to 90?
Answer:
The answer is 94%
what is the square root of -8
Step-by-step explanation:
[tex] \sqrt{ ( - 8)} = 2 \sqrt{2} i[/tex]
Si a2 - b2 = 7 (a + b), entonces a - b =
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex](a + b)(a - b) = 7(a + b)[/tex]
Divide sides by ( a + b )
[tex] \frac{(a + b)(a - b)}{(a + b)} = \frac{7(a + b)}{(a + b)} \\ [/tex]
[tex](a - b) = 7[/tex]
[tex]a - b = 7[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Angle a and b are complementary angles. If a=3x + 9 and b= x-11, find the measure of A.
help!!
A car travels 50 miles per hour, h. What expression represents the total distance you’ve traveled?
Answer:
d = 50h
Step-by-step explanation:
d = distance , h = hours , 50 miles an hour , so 50h
The expression that represents the total distance traveled is 50h .
What is the meaning of Distance ?Distance is the measure of total movement from one place to another , It is a scalar quantity and can be expressed as m and is not dependent upon the direction of the motion.
It is given that
A car travels 50 miles per hour
expression that represents the total distance traveled = ?
Speed = Distance / Time
Given speed = 50 miles/hour
Let h represents the total time
50 = Distance traveled/h
Distance Traveled = 50 h
Therefore the expression that represents the total distance traveled is 50h .
To know more about Distance
https://brainly.com/question/15172156
#SPJ2
4500 people attended a football game. If 25% of the people who attended were teenagers, how many teenagers attended the game?
Answer: 1,125
Step-by-step explanation:
We have to find out what is 25% of 4,500.
Let's subtract by thousands first. We have to subtract 75% of the thousands.
4,000 - 3,000 = 1,000
Now, we have to subtract 75% of 500.
500 - 400 = 100
Now, we have to subtract 75% of 100. We currently have 1,100.
100 - 75 = 25
Add 1,100 and 25.
1,100 + 25 = 1,125
Hope this helps!
9 is the diameter for circle j with a center at the origin and a diameter of 18
true or false
Answer:
Step-by-step explanation:
True
in a group of 50 people, 11 can not swim. what percent of people can not swim?
Answer: 22%
Step-by-step explanation:
The library surveyed a total of 180 people about their favorite type of movie. If 40% of the people chose action movies, what part of the people chose action movies?
last month Mrs. Hamilton bought a 4 pound bag of potatoes for $9.12. This month she purchased a 6 pound bag of potatoes for $11.40. What is the difference in the unit cost per pound that Mrs. Hamilton paid
Answer: 38 cents
Step-by-step explanation:
i could be wrong though
Please help please.
Answer:
It will be the 4th one because that is what a function is
Which of the following opitions have the same value as 5 percent of 35?
Answer:
1.75 is the same value as 5 percent of 35.Step-by-step explanation:
Even though there aren't any
options for what 5 percent of 35
is, I can find it out without multiple choice.
Answer = 1.75
Hope this helps! <3
I need someone to match these please
Answer:
Details below
Step-by-step explanation:
Equivalent Ratios
Two ratios are equivalent if they have the same value. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.
We are given 8 ratios. We'll simplify them to match the blue ratios shown in the image.
[tex]\displaystyle \frac{30}{54}=\frac{30/6}{54/6}=\frac{5}{9}=5:9[/tex]
[tex]\displaystyle \frac{27}{45}=\frac{27/9}{45/9}=\frac{3}{5}=3:5[/tex]
[tex]\displaystyle \frac{64}{16}=\frac{64/16}{16/16}=\frac{4}{1}=4:1[/tex]
[tex]\displaystyle \frac{33}{55}=\frac{33/11}{55/11}=\frac{3}{5}=3:5[/tex]
[tex]\displaystyle \frac{56}{64}=\frac{56/8}{64/8}=\frac{7}{8}=7:8[/tex]
[tex]\displaystyle \frac{28}{32}=\frac{28/4}{32/4}=\frac{7}{8}=7:8[/tex]
[tex]\displaystyle \frac{52}{13}=\frac{52/13}{13/13}=\frac{4}{1}=4:1[/tex]
[tex]\displaystyle \frac{45}{81}=\frac{45/9}{81/9}=\frac{5}{9}=5:9[/tex]
The ratio 3:5 must be dragged with the ratios
[tex]\displaystyle \frac{27}{45}, \frac{33}{55}[/tex]
The ratio 5:9 must be dragged with the ratios
[tex]\displaystyle \frac{30}{54}, \frac{45}{81}[/tex]
The ratio 7:8 must be dragged with the ratios
[tex]\displaystyle \frac{56}{64}, \frac{28}{32}[/tex]
The ratio 4:1 must be dragged with the ratios
[tex]\displaystyle \frac{64}{16}, \frac{52}{13}[/tex]
need help bruh please
Answer:240fp=20p
Step-by-step explanation:
Answer:
240fp=20p
Step-by-step explanation:
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 0 < x < 3.
Note: in decimal form, this fraction converts to roughly 34.67
=========================================================
Explanation:
Highlight the rows that have x = 0 and x = 3. Cross out or cover the other two rows up.
The two rows that have x = 0 and x = 3 show y = f(x) = 4 and y = 108 respectively.
So we have the two points (0,4) and (3,108). We need to find the slope of the line through these points to find the average rate of change from x = 0 to x = 3.
Turn to the slope formula
m = (y2-y1)/(x2-x1)
m = (108-4)/(3-0)
m = 104/3
We cannot reduce the fraction further.
Using a calculator,
104/3 = 34.67 approximately
the square root of 97 is between _ and _,and it is closer to_
Answer:
between 9 and 10. it is closer to 10
please help me solve this question ✋. a scientist used 3 gallons of liquid for every 7 hours he works. he uses ___ of a gallon each hour he works
Identify the vertex of the quadratic function:
f(x) = -(x - 2)2 – 3
Answer:
(2, -3)Step-by-step explanation:
[tex]f(x)=a(x-h)^2+k[/tex] vertex form of equation with vertex (h, k)
[tex]\left \big{f(x)=a(x-h)^2+k}\atop \big{f(x)=-(x-2)^2-3}\right\}\implies a=-1\,,\ h=2\,,\ k=-3[/tex]
So vertex of f(x) = - (x - 2)² - 3 is (2, -3)
Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction
Answer: 3/2*4/15
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
please help asap thank u (will mark brainliest)
what is the percentage of 12 inches to 36 inches
Answer:
33.33 percent. you would need an infinity bar over the 3, but I cant do that on phone
Find the slope of the line that passes through (5, 6) and (1,9).
Answer:
m = -3/4
Step-by-step explanation:
random characters ahagauabaklZo
Answer:
The slope is -3/4 or -.75.
Step-by-step explanation:
y1-y2 over x1-x2
Plug it in
9-6 over 1-5.
9-6=3
1-5=-4
Which equals -3/4 or -.75.
Ethan got some money for his birthday. He spent 15of it on dog treats. Then, he divided the remainder equally among his 3 favorite charities. What fraction of his money did each charity receive? If he donated $60 to each charity, how much money did he receive for his birthday?
help!!
Your vacation costs you $500 for the airline ticket plus $100 per day, d. How much would it cost for a 7-day vacation?
Answer:
1,200$
Step-by-step explanation:
500+700 = 1.200$
700 = 100 per day for 7 day vacation
Answer:
$1200
Step-by-step explanation:
So the equation will look like this if d is days and c is cost: c=100d+500 this is it because the $500 is only a one-time fee while $100 is the rate of change so it depends on the number of days you are on vacation. Now since we know how many days we have to go we can just plug it in d: c=100(7)+500
Simplify: c=700+500
Add: c=1200
Answer: $1200
Hope this helps!
9-3 divided by 1/3 + 1 is?
Answer:3
PLEASE GIVE BRAINLIEST IT HELPS ALOT. THANKYOU.
A page in Johanie’s workbook is torn, and one of the questions is cut off. She can read only the first part of the question:
“In which quadrant would you find point P if the coordinates of P are (–5, ...”
Assuming that P is not on an axis, what are the possible answers to this question?
quadrant I or quadrant II
quadrant II or quadrant III
quadrant II or quadrant IV
quadrant III or quadrant IV
Answer:
quadrant II or quadrant III
Step-by-step explanation:
Answer:
its quadrant II or quadrant III
Step-by-step explanation:
Change these decimals to percents. .52, .08, 2.5, .004
Answer:
52%, 8%, 250% 0.4%
Step-by-step explanation:
When changing a decimal to a percent you move the decimal two spots to the right.
help plz ill give brainliest ALL THAT APPLY
Answer: I am pretty sure the answer is D.
hope this help.
Answer:
B
Step-by-step explanation:
The x-axis represents the amount of rainfall and the y-axis represents the growth