NEED HELP FAST WILL GIVE BRAINLIEST
Consider w = 4(cos(pi/2)+i sin(pi/2) and z=3(cos(3pi/2) +i sin(3pi/2)). What is w +z expressed in polar form?
A. Cos(0) + sin(0)
B. Cos(pi/2)+ isin (pi/2)
C. Cos(pi)+ isin (pi)
D. Cos(3pi/2) +isin (3pi/2)
Answer:
B. cos(pi/2) +i·sin(pi/2)
Step-by-step explanation:
You can convert to rectangular and back, or you can use the trig function relations directly.
w = 4·cis(π/2) = 4i
z = 3·cis(3π/2) = -3i
Then the sum is ...
w +z = 4i -3i = i = cis(π/2) . . . . matches choice B
__
An alternative representation of z is ...
z = -3·cis(π/2)
Then ...
w +z = 4·cis(π/2) -3·cis(π/2) = cis(π/2)
_____
Additional comment
In the above, we have used cis(α) to represent (cos(α) +i·sin(α)).
Please help with proportional relationships!!! (Photos)
(determine whether the quantities on each table represent a proportional relationship if yes, give the constant rate) pls explain!!
Answer:
yes, the question is proportional. if you multiply 9.50 by 2 you get 19 and so on and so forth. the constant rate is 9.50
Write an equation in slope-intercept form for the line parallel to y = 5x – 2
that passes through the point (6,-2).
Type your equation in the form y=mx+b. Do not use any spaces in your response.
Answer:
y = 5x - 32
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = 5x - 2 ← is in slope- intercept form
with slope m = 5
Parallel lines have equal slopes, then
y = 5x + b ← is the partial equation
To find b substitute (6, - 2 ) into the partial equation
- 2 = 30 + b ⇒ b = - 2 - 30 = - 32
y = 5x - 32 ← equation of parallel line
Help me pleaseeeeeeeeereere
Answer:
£3.9
Step-by-step explanation:
Philip went to the shop with £9.60
spent £5.70
Money left = £9.60 -£ 5.70
=£3.9
Hence,
He came home with £3.9
DUE BY 11:59 PM!!
HELP GREATLY APPRECIATED!!
Answer:
Step-by-step explanation:
1. There are only 4 numbers including 5 that follow the "five or more" requirment, and the probability of spinning it once is 4/8, or 1/2. (The total sections is 8) Then we multiply 1/2 and 1/2 together to get the "two times in a row" requirement done. (1/2)*(1/2)= 1/4 is the probability.
2. There are two values on the spinner that are a multiple of 3, 3 itself and 6. Again, the total amount of numbers/sections is 8, so the probability of spinning a multiple of three is 2/8 or 1/4. The probability of spinning an odd number is 4/8 or 1/2. (1/2)*(1/4)=1/8 is the probability.
3. The probability of spinning one odd number is 1/2, and so we multiply 1/2 by itself four times. (1/2)*(1/2)*(1/2)*(1/2)=1/16 is the probability.
4. There are 6 numbers greater than two on the number wheel not including two itself. So the probability of that is 6/8, or 3/4. Then we multiply 3/4 by itself 3 times as it asks. (3/4)*(3/4)*(3/4)*(3/4)=81/256 is the probability.
Note that I am not really sure about the answer myself, but I hope that this can help in some way. Good luck! :)
Select the correct answer.
if g(x) = f(1/3x) which statement is true?
OA. The graph of function fis stretched vertically by a scale factor of 3 to create the graph of function g.
ОВ. The graph of function fis stretched horizontally by a scale factor of 3 to create the graph of function g.
oc. The graph of function fis compressed horizontally by a scale factor of 1/3 to create the graph of function g.
Od. The graph of function fis compressed vertically by a scale factor of 1/3 to create the graph of function g.
Answer:
D
Step-by-step explanation:
It says that f(1/3x)=g(x), so scale factor is 1/3 and it is across the y axis because f(x) is basically y.
The correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Let us take the function g(x) as f(1/3 x).
This means that g(x) takes the value of f at 1/3 of x's value.
If f(2) = 4, then g(6) = f(1/3×6) = f(2) = 4.
When we replace x with 3x, we are compressing the graph of f horizontally by a factor of 1/3.
This is because every point on the graph of f now has 1/3 of its original x-coordinate.
The point (2, 4) was on the graph of f, it is now on the graph of g as (6, 4).
The scale factor is less than 1 because we are compressing the graph horizontally, which means the x-values are getting smaller.
Therefore, the correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.
To learn more on Graph click:
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What is the value of x? Enter your answer in the box. x =
Answer:
32
Step-by-step explanation:
The shape in image is an equilateral triangle which means all of it's angles has equal measurements:
2x - 4 = 5y and that is equal to 60 degrees
2x - 4 = 60 add 4 to both sides
2x = 64 divide both sides by 2
x = 32
Please help! If it’s true then it’s 10 points. If it’s false then it’s 15. Don’t add up the numbers. I really appreciate it :)
1) True
2) True
3) False
4) False
5) False
6) True
7) True
8) False
HELP PLEASE 100 POINTS
Answer:
118 is the answer.Step-by-step explanation:
All pentagons angles = 540
540 - 107 - 100 - 96 - 119 = 118
118 is the answer.Hope it helped!
Kavitha
Answer:
The answer above is in fact correct
Step-by-step explanation:
107+100+96+119+118=540
5. Find the triangle similar to AABC at the right. Question 5
Answer:
b
Step-by-step explanation:
If you multiple each side by 3 then they will equal the numbers that b has
The equation y=0.2x models a proportional relationship. Complete the table and graph the data.
y=0.2x
#0
[tex]\\ \sf\longmapsto y=0.2(0)=0[/tex]
(x,y)=(0,0)#5
[tex]\\ \sf\longmapsto y=0.2(5)=1[/tex]
(x,y)=(5,1)#10
[tex]\\ \sf\longmapsto y=0.2(10)=2[/tex]
(x,y)=(10,2)#15
[tex]\\ \sf\longmapsto y=15(0.2)=3[/tex]
(x,y)=(15,3)#20
[tex]\\ \sf\longmapsto y=0.2(20)=4[/tex]
(x,y)=(20,4)Step-by-step explanation:
The given Eqⁿ is, [tex]{ \purple{ \sf{y = 0.2x}}}[/tex]
[tex]{ \star}[/tex]Put x = 0, then
[tex]{ \purple{ \sf{y = 0.2(0) = 0}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y )\: = (0,0)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 5, then
[tex]{ \purple{ \sf{y = 0.2(5) = 1}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (5,1)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 10, then
[tex]{ \purple{ \sf{y = 0.2(10) = 2}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x ,\: y) \: = (10,2)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 15, then
[tex]{ \purple{ \sf{y = 0.2(15) = 3}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (15,3)}}}}[/tex]
[tex]{ \star}[/tex]Put x = 20, then
[tex]{ \purple{ \sf{y = 0.2(20) = 4}}}[/tex]
[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (20,4)}}}}[/tex]
A cyclist travels 6.7 km in 30 minutes. What is his average speed in km/h?
Answer:
[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ \text{Total Distance}}{ \text{Total time}} \\ [/tex]
30 min = ½ hr.[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ 6.7 \: km}{ \frac{1}{2} \: hr }[/tex]
[tex]\implies \footnotesize \text{ Average Speed} = 6.7 \times 2 \: km/h[/tex]
[tex]\implies \footnotesize \textbf{ Average Speed = 13.4 \: km/h}[/tex]
His rate is 13.4km/ hour
Data;
Distance = 6.7kmTime = 30 minutesConversion From Minutes to HoursTo solve this problem, we have to convert his speed from km/min to km/h
[tex]60min =1 hour\\[/tex]
Since his rate is 6.7kmin 30 minutes, let's convert it to hour
[tex]6.7km = 30min\\x km = 1min\\x = \frac{6.7}{30} \\x = 0.223km/min[/tex]
But to convert minutes to hours, we have to divide the time by 60
[tex]0.223\frac{km}{min}*60/1 = 13.4[/tex]
From the calculation above, his rate is 13.4km/ hour
Learn more on conversion from minutes to hours here;
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x + 12 = 20 i really need help
Hello! :)
x+12=20
Move all numbers to the right, using the opposite operation:
x=20-12
x=8
Therefore, x=8
Hope it helps. Enjoy your day! :)
Do ask me if you have any question.
~An excited gal
[tex]MagicalNature[/tex] here to help
SALE
75% OFF
original price!
If a desk has a sale price of $13, what was the original price?
Answer:
52$
Step-by-step explanation:
13 (75% off) so 13 is 1/4 the price.
13x4 = 52
three friends arrive at a party. their arrival increases the number of people at the party by 20%. in total,how many are there at the party now
Answer:
12
Step-by-step explanation:
Members of a soccer team raised $1428 to go to a tournament. They rented a bus for $955.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answer:
16 players can be brought to the tournament. The equation is written within my step-by-step explanation.
Step-by-step explanation:
Variable p = number of players
Set up an equation:
974.50 + 60.75p = 1946.50
Isolate variable p:
60.75p = 972
Divide:
p = 16
Check your work:
974.50 + 60.75(16) = 1946.50
974.50 + 972 = 1946.50
1946.50 = 1946.50
Calculate the volume of a similar channel whose radius 1.5m. I need help in checking is A is correct and please send B with working if possible 3 first to answer gets ranked
Answer:
252.21m
Step-by-step explanation:
Times it by 3 and that should give you the answer you are looking for. Please mark it as brainliest
which answer is correct
Answer:
see below for answer
Step-by-step explanation:
(4p^2+32p)/(p-2)=(4p(p+8))/p-2
(p^2+p-6)/(2p^3+16p^2)=(p+3)(p-2)/(2p^2)(p+8)
(4p(p+8)/(p-2))*((p+3)(p-2)/((2p^2)(p+8)))=2(p+3)/p
What pattern did you notice in Problem 1(a)? How can this strategy help you check your work with
nines facts?
Answer:
So for the 9's facts, we can use a 10's fact, and then just subtract one group. For example, for 9×3, first do 10×3 to make 30, and then subtract one group of 3 to make 27. For 9×7, first do 10×7 to make 70, and then subtract one group of 7 to make 63.
Show me the
volume of a cube
with side lengths
of 2
Answer:
8
Step-by-step explanation:
v=l*w*h so 2^3=8
How would you best describe the angle pair <6 and <7
Answer:
Consecutive interior angles
Step-by-step explanation:
The sum of the interior angles in a polygon is 15,480°. Calculate the number of sides in the regular polygon.
Answer:
88 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides, then
180° (n - 2) = 15480° ( divide both sides by 180° )
n - 2 = 86 ( add 2 to both sides )
n = 88
In which diagram are angles 1 and 2 vertical angles?
Answer:
Step-by-step explanation:
can you upload diagram?
clara has a positive acceleration for 5 minutes
Answer:
The answer is C.
Step-by-step explanation:
SOS l don’t understand help please
I hope you have your answer now
haircut josiah went to the local barber to get his hair cut.it cost $18 foto the haircut josiah tipped the barber 15%
15% of $18 is $2.70...........
This is a math question from highschool (LOOK AT PICTURE)
Answer: The answer is 12q-1/2
Step-by-step explanation:
Please help!!
Find the slope of the line
Answer:
-2
Step-by-step explanation:
rise over run is 2/1 and y is decreasing as x is increasing so its negative
What is the topic of a piece of informational writing? (100 point)
A. the meanings of words
B. the way the writer feels about the subject
C. the subject or focus
D. the way information is grouped
Answer:
the topic of a piece of informational writing: C. the subject or focus
The topic of an informative piece is the writer's feelings about the subject which is the correct answer that would be an option (B).
What is information writing?Informational writing is a piece of writing that is truthful and aims to educate or explain a topic to the reader. This teaches primary school students how to write realistic, insightful essays on a variety of topics.
It gives the reader fundamental information about a certain issue, which serves to inform the reader. Informational writing, unlike other types of writing, does not aim to influence the reader's opinion or inspire them to take action.
The informational writing is straightforward and succinct. It does not include any superfluous words, flamboyant notions that might confuse the readers or too detailed terminology.
Therefore, the correct answer would be option (B).
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Solve for Z:
4 > 5Z + 34
help me so hard
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
Z < − 6
Interval Notation:
( − ∞ , − 6 )
Step-by-step explanation:
Answer:
z<-6
Step-by-step explanation:
4-5Z>34
-5z>34-4
-5z>30
z<-6