Answer:
the answer is -43p + ( 25 )
Step-by-step explanation:
Complete each statement given w = 2(cos(90o) + i sin (90o)) and z = StartRoot 2 EndRoot (cos(225o) + i sin(225o)). In rectangular form, w = 0 + i. In rectangular form, z = – 1i. In rectangular form, w + z = –1 + i. In polar form w + z = StartRoot 2 EndRoot (cos(o) + i sin(o)
This question is based on the concept of polar form.Therefore, the expression in polar form is [tex]\bold {z = \sqrt{10(cos108.43\; + \; i \; sin108.43)}}[/tex]
Given the following complex numbers in:
w = 2(cos(90°) + i sin (90°))
As we know that,
sin 90 degree = 1
cos 90 degree = 0
Put these values in given equation,
We get,
w = 2(0+i(1))
w = 2(0)+2i
w = 0+2i
Hence the value of w in rectangular form is 0+2i .
Now solving for z:
z =√2(cos(225°) + i sin(225°))
z = √2(-1/√2+ i (-1/√2))
z = -√2/√2 - √2(-1/√2)i
z = -1 + 1i
Therefore, the value of z in rectangular coordinate is -1+ 1i.
Now solving for w + z:
w + z = 0+2i + (-1+1i)
w+z = 0+2i-1+i
w+z = -1+3i
Write w+z in polar form,
Get the modulus
|w+z| = √(-1)²+3²
|w+z| = √1+9
|w+z| = √10
Get the modulus
= tan^-1(-3)
= -71.56
[tex]\Theta[/tex] = 180 - 71.56
[tex]\Theta[/tex] = 108.43
Therefore, the expression in polar form is,[tex]\bold{z = \sqrt{10(cos108.43\; + \; i \; sin108.43)}}[/tex]
For more details, prefer this link:
https://brainly.com/question/12628920
Answer:
Step-by-step explanation:
A. 1i
B.315
C.315
Hope this helps!
True or false
Parallel lines have the same slope. Perpendicular lines have the same slope except one slope is positive and one slope is negative.
A. False; perpendicular lines have slopes that are the negative inverse of each other.
B. True
C. False; parallel lines have the same y-intercept but different slope.
D. False; only vertical and horizontal lines can be perpendicular
Answer:
I believe it would be B.
9514 1404 393
Answer:
A. False; perpendicular lines have slopes that are the negative inverse of each other.
Step-by-step explanation:
It is true that parallel lines have the same slope. However, perpendicular lines have slopes that are opposite reciprocals (negative inverse of each other). So, the compound statement is FALSE.
please visit my previous questions to know what the word problem is
Answer:
As below
Step-by-step explanation:
using eq from problem 4) y = -45x + 1080
then use the point slope formula with the slope of the above line at -45 and plug in your given point of (8, 240)
y-y1 = m(x-x1) where m is the slope above
y-240 = -45 (x - 8 ) this is an equation for the line but the teacher probably wants the slope intercept form... the formula is y = mx + b
soooo...
y-240 = -45x + 360
y = -45x +360 + 280
y = -45x + 640
there you go :)
How do I graph this problem X+2y= -2
There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club?
Answer:
2:1
Step-by-step explanation:
If you that this would be 10:5 you would be half correct
Solution:
No. of boys in glee club:No.of girl in glee club
10:5
(divided by the table of on both sides)
2:1
Answer:
21
Step-by-step explanation:
Put each line into slope-intercept form:
1. 2x + 4y = 8
2. 2y = 2x + 4
( Can someone help me )
Answer:
Step-by-step explanation:
Hh
First to answer, gets BRAINLIEST
(5x6)(-8+2)(4÷8)(0)(-.5-3)(-10+2) =
Answer:
0
Step-by-step explanation:
pretty easy tbh
Answer:
0
Step-by-step explanation:
Confused pls help
will mark brainliest
9514 1404 393
Answer:
A 1
Step-by-step explanation:
The cube containing 125 = 5³ blocks will have a edge dimension of 5 blocks. The perimeter of one square face will be 4 times the edge dimension of the face, so will be 4×5 blocks = 20 blocks.
If 20 blocks = 20 units, then the edge of one block is 1 unit. Its volume is 1 unit³, or 1.
The appropriate choice is (A) 1 unit³ for the block volume.
Oscar and Carla deposit $1,000.00 into a savings account which earns 10% interest compounded annually. They want to use the money in the account to go on a trip in 2 years. How much will they be able to spend?
Answer:
They will be able to spend $1210
Step-by-step explanation:
At the start, there will be $1000 in the savings account that will earn 10% of the current savings(1000) so 1000*(10/100)=$100 so after 1 year in the savings account there will be $1100 the same procces will happen for the next year
2nd year:1100*(10/100)=$110
total=$1100 + $110=$1210
An aquarium in the shape of a right rectangular prism is 12.5 inches long, 6 inches wide and 8 inches high. What is the total amount of water needed to fill the aquarium with water?
Answer:
446
Step-by-step explanation:
24 is 100% of what number?
Answer:
24
Step-by-step explanation:
It is the same number.
Given f(x) = 4(1 – x), what is the value of f(-10)
Answer:
44
Step-by-step explanation:
The function formula is given as
f(x) = 4(1 – x)
To find the f(-10) we will substitute into the function formula, then we have
f(-10)= 4[1-(-10)]
=4[11]
=44
Hence, the value of f(-10)= 44
what is the solution to the equation below?
The answer is B. x=-7
Explanation:
I just substituted x for all of the answer choices until I found the right one.
Please mark Brainliest!
What value of x is in the solution set of 8x - 6> 12 + 2x?
O -1
O0
O3
O5
Answer:
5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Inequality
8x - 6 > 12 + 2x
Step 2: Solve for x
Subtract 2x on both sides: 6x - 6 > 12Add 6 on both sides: 6x > 18Divide 6 on both sides: x > 3Here we see that any value x greater than 3 would work as a solution to the inequality.
∴ our answer is 5.
which one is it?.......
Answer:
The answer is D
Please correct me if I am wrong
Step-by-step explanation:
80000/0.00004 = 2000000000 (2*10^9)
Bananas cost 3abunchandapplescost0.50 each. If b represents the number of bunches of bananas and a represents the number of apples, which of the following expressions represents the total cost?
Considering the definition of an equation, the total cost is 0.50a + 3b.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.
Total costBeing
"a" the number of apples."b" the number of bunches of bananas.and knowing that:
Bananas cost $3 a bunch.Apples cost $0.50 each.the equation that represents the total cost is:
total cost= 0.50a + 3b
Finally, the total cost is 0.50a + 3b.
Learn more about equations:
brainly.com/question/4983716
brainly.com/question/13314678
#SPJ1
Javier bought four 8-ounces bottles of water for hiking trip. He drank 28 ounces. How many ounces of water are left?
Answer:
4 ounces are left
Step-by-step explanation:
8 x 4 = 32
32 - 28 = 4
4 ounces are left
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
If there are 4 water bottles with 8 ounces in each, 4•8=32 total ounces. If he drinks 28 ounces, you would have to subtract 28 from 32 to get 4
Step-by-step explanation:
Oh no! A huge wave knocked some coins over Meg’s dingy! If the dingy represents 0, to the left of the dinghy is negative and to the right is positive. How would those locations be ordered from least to greatest?
Negative 1 and one-half, Negative StartFraction 7 Over 8 EndFraction, negative one-half, one-half
Negative one-half, negative 1 and one-half, one-half, negative StartFraction 7 Over 8 EndFraction
One-half, negative 1 and one-half, Negative StartFraction 7 Over 8 EndFraction, negative one-half
Negative StartFraction 7 Over 8 EndFraction, negative 1 and one-half, one-half, negative one-half
Answer:
A
Step-by-step explanation:
The higher the negative number is the farther left it will be.
Answer:
only answering for the other person to get brainliest
Step-by-step explanation:
which is greater -5/10 or -3 / -4
Answer: -5/10, But that can be simplified to -1/2
Please Please help me with this
Answer:
i got 5 and 28
Step-by-step explanation:
Humans living in highly populated areas are more inclined to _______. a. violence b. socially isolate c. appetite loss d. all of the above
Answer:
Humans living in highly populated areas are more inclined to violence.
Answer:
A. Violence
Step-by-step explanation:
got it right, hope this helps!
The discount on a pack of socks is 15%. It is on sale for $17. What is the original price of the pack of socks?
Answer:
$19.55
Step-by-step explanation:
17*0.15=2.55
17+2.55=19.55
A person borrowef Rs 16000 from a bank at 12.5% pet annum simple intrest and lent the whole amount to shopkeeper at the sam rate of compound interest.How much will he gain in 2 years?
Answer:
The amount he gains in 2 years is Rs. 250
Step-by-step explanation:
The parameters of the amount borrowed from the bank are;
The amount borrowed, P = Rs. 16,000
The interest rate of the amount borrowed, R = 12.5%
The number of years, T = 2 years
The simple interest, I = (P × R × T)/100 = (Rs. 16,000 × 12.5 × 2)/100 = Rs. 4,000
The total amount the person is to pay bank to the bank = P + I = Rs. 16,000 + Rs. 4,000 = Rs. 20,000
The parameters of the amount lent to the shopkeeper are;
The amount lent, P = Rs. 16,000
The compound interest rate of the amount lent, R = 12.5%
The number of years, T = 2 years
The amount he receives from the shopkeeper after 2 years, A = P·(1 + R/n)^(n × T) = Rs. 16,000 × (1 + 0.125/1)^(1 × 2) = Rs. 20,250
The amount he gains in 2 years = The amount he receives from the shop keeper - The amount he gives to the bank = Rs. 20,250 - Rs. 20,000 = Rs. 250
The amount he gains in 2 years = Rs. 250.
Find x for the equation 14=xy-5
Answer: X=19/y
Step-by-step explanation: I used a math app to solve this your welcome.
Ricardo wants to install two security cameras at point A so the parking lot from side AE to side AB of the building can be monitored. Can he use two cameras, both with a field of view of 110°, installed at point A? Explain. If not, what is the minimum field of view that each camera should have?
Step-by-step explanation:
The two cameras will have total view of:
110° + 110° = 220°The angle to be viewed is:
270° - 15° = 255°This is not sufficient to cover the needed area as 220° < 255°
The cameras should have a minimum view of:
255°/2 = 127.5°Find how many values of X does f(x)=5? Illustrate on the graph.
Answer:
Step-by-step explanation:
The question is saying "How many x values are there when y = 5?"
The answer is 2.
When x ≈ 1 and when x = ≈ 2
Pls help I’ve repeated the same question over and over.
Marsha deposited $5,000 into a savings account 3 years ago. The simple interest rate is 4%. How much money did Marsha earn in interest?
Answer:
Amount of interest = $600
Step-by-step explanation:
Given:
Deposited p = $5,000
Number of year n = 3
Interest rate r = 4% = 0.04
Find:
Amount of interest
Computation:
Amount of interest = P(r)(n)
Amount of interest = 5,000 x 3 x 0.04
Amount of interest = $600
10 minutes left unit test PLEASE HELPP
Answer:
8/15
Step-by-step explanation:
8/15
hope this helped!!
Which relations are functions?
Select Function or Not a function for each graph.
Can someone help me plz
Answer:
The 1st and 2nd graph are functions while the 3rd and 4th aren't.
Step-by-step explanation:
The first and second graph doesn't have more than one output for each input. The third and fourth graph isn't a function since there's more than one output for the same input given. If you do the vertical line test, then you'll know which one is a function and which one is not a function. Hope this helps :)