Answer:
d) √2∠(7π/4)
Step-by-step explanation:
Sometimes the expression A(cos(α)+i·sin(α)) is written as A·cis(α). I prefer the notation A∠α, because it is more compact.
You are given ...
w = √2∠(π/4)
z = 2∠(π/2)
And you are asked to find the difference w-z in polar form.
__
In rectangular form, ...
w = √2∠(π/4) = √2(1/√2 +i/√2) = 1 +i
z = 2∠(π/2) = 2(0 +i·1) = 2i
Then the difference is ...
w -z = (1 +i) -(2i) = 1 -i
You may notice this is the conjugate of w, so will have the opposite angle:
w - z = w* = √2∠(-π/4) = √2∠(7π/4)
In the terms used by the problem statement, ...
w -z = √2(cos(7π/4) +i·sin(7π/4)) . . . . matches choice D
PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!!
Answer:
If y=10,
-2x-2y=-12
-2x-2(10)=-12
-2x-20=-12
-2x=-12+20
=8
x=-8÷2
=-4
find the quotient. (2^4x+4) ÷ (2^x+1)
Answer:
(16x/2^x+1) + (4/2^x+1
Step-by-step explanation:
the parentheses are there so you know the two arent beside each other
A cooking pot holds 35 liters of water. This is 7 times the amount of water a mixing bowl can hold.
How much water can the mixing bowl hold?
A. 5 liters
B. 7 liters
C. 28 liters
D. 245 liters
Answer is A :) just simply divide 35 and 7 and you get 5!
answer .
5
explanation.
simple just 35 divide by 7
if 1 = 33 seconds how much would 1hour be?
Julie has a jewelry box shaped like a cube. The volume of the jewelry box is V cubic inches. Use this information to answer Questions 6 and 7. Write an expression that represents the edge length of Julie's jewelry box in inches.
Answer:
s = ∛V
Step-by-step explanation:
The relationship between edge length (s) and volume (V) of cube is ...
V = s³
Taking the cube root of both sides of this equation gives you an expression for the edge length:
s = ∛V
_____
Additional comment
The units of s will be the cube root of the units of V. If V is in cubic inches, then s is in inches.
pls help I have headache i try everything
Answer:
210 students
Step-by-step explanation:
30%=63
10%=63÷3
=21
100%=21×10
=210
GIVING 100 POINTS AND BRAINLIEST IF CORRECT! You recently upgraded your experience by buying an Controller for $74.99 and an Game Pass Subscription for $14.99 per month.
Answer:
Part A: It's linear because it increases at a constant rate of 14.99 dollars per month
Part B: C = 14.99M + 74.99 (y = 14.99x + 74.99)
Step-by-step explanation:
Part A: Every month, you have to pay the same amount.
1 month = 14.99
2 months = 14.99 + 14.99
3 months = 14.99 + 14.99 + 14.99
So, it's linear.
Part B: We have to use the formula y = mx + b, or slope-intercept form, to represent the total cost per month.
m = slope, b = y-intercept (initial value)
Let's have the total cost be represented as C
Let's also have the subscription per month be represented as M
So, C would = 74.99, because we only need to pay for a controller once
But we also our subsription per month, M, as 14.99.
So our final answer would be C = 14.99M + 74.99, or y = 14.99M + 74.99 if you can't make your own variables
I wanted to get more indepth. Try adding this to notes! <3
Round 54,843 to the nearest thousand.
I give brainliest
Answer:
55000
Step-by-step explanation:
Since you are in the thousands place, you need to look in the hundreds section. If it is 5 and above 5, you round up. If it is below 5, you round down.
HELP HELP HELPPPP OMG
Answer:
hope it helps you.............!
Evaluate N2 + 2N + 1 for N = 5.
51
36
21
Answer:
36
Step-by-step explanation:
N^2 + 2N + 1
Since we are given N = 5, we just substitute N for 5
(5)^2 + 2(5) + 1
25 + 10 + 1
36
Answer: 36
Step-by-step explanation:
5*5 + 5*2 +1 = 25 + 10 + 1 = 36
PLEASE ANSWER FAST TIMED TEST
Answer:
0.0000015
Step-by-step explanation:
he perimeter of a rectangular field is 342m If the length of the field is 92m what is its width?
Answer:250
Step-by-step explanation:
342-92
what are the first 4 multiples of 4.
Answer:
the first 4 multiples of 4
Multiples of 4: 4, 8, 12, 16,
Step-by-step explanation:
Answer:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …
Step-by-step explanation:
please mark as brainlist
72 boxes out of 90 sold what percentage sold
Answer:
is what is the math thing at you need help with huh
Question 6: 17 pts
Identify the parent function for the function g(x) = x2 - 4 based on its function rule.
Then graph g and identify the transformation of the parent function that it
represents.
linear; translation up 4 units
quadratic; translation up 4 units
quadratic; translation down 4 units
O
linear; translation down 4 units
Answer:
Parent function is g(x) = x² a quadratic
Step-by-step explanation:
quadratic; translation down 4 units
-4 means the vertex will move down 4
The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.
The given function is g(x)=x²-4.
What is the parent function?A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function.
Quadratic; translation down 4 units:
The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)² + k, where a ≠ 0.
The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.
To learn more about the parent function visit:
https://brainly.com/question/17939507.
#SPJ2
Which of the following equations is an example of inverse variation between
the variables x and y?
A. y = 12x
B. y =х
12
C. y= x + 12
D. y = 12
х
Answer:
The correct answer is option D
Step-by-step explanation:option A : y = x/12 ⇒ x = 12y (wrong option)
option B : y = 12/x ⇒ y * x = 12 (wrong option) and c will be equal 12
option C : y = x + 12 ⇒ not similar to the general form (wrong option)
option D : y = 12/x (corect option)( I meant to switch it around)
The general form of inverse variation between the variables x and y is as following:
where c is constant
So, the correct option is D
Malachi took cans to the recycling plant and put them into the can-crusher one at a time. After he had already crushed some of the cans, he started recording the number of cans he crushed per minute. This table shows how many cans Malachi put in the can-crusher at different times.
Time (min): 2 , 4 , 6 , 8
Number of cans crushed: 4 , 9 , 64 , 79 , 94
What is the equation that represents Malachi’s situation, where x represents the time and y represents the number of cans crushed?
Answer:
it is 793
Step-by-step explanation:
this is triangle and it's properties
PLEASE HELP ME
Pls
HYPOTENUSE RULE :
[tex]c = \sqrt{ {a}^{2} + {b}^{2} } \\ = \sqrt{ {6}^{2} + {8}^{2} } \\ = 10[/tex]So, third side is 10cm.
- BRAINLIEST answerer
Answer:
10
Step-by-step explanation:
[tex] {8}^{2} + {6}^{2} = {100}^{2 } [/tex]
[tex] \sqrt{100} = 10[/tex]
A circle of 5 cm radius is drawn, and another circle 3 cm radius is drawn. What is the radius of a circle that has the same area as the bigger one excluding the cut one?
(a) 2 cm
(b) 3 cm
(c) 4 cm
(d) 5 cm
Answer:
4 cm
Step-by-step explanation:
The town of Lantana needs $14,000 for a new playground Lantana elementary school raised 5358, Lantana Middle School raised $2,834 and Lantana High school raised $4132. about how much more do they need to raise? Choose the best estimate.
1. 500
2. 2,000
3. 3000
4. they already raised enough money.
Answer: The answer is actually 1,676. But you can estimate it to 2,000. so the town of Lantana would have about 2,000 dollasrs left to raise to reach there goal.
Step-by-step explanation:
You would first make sure you add all the number like 5,358+2,834+4,132. And once you get you answer you subtract 14,000 from the number you got!
I really hope that helps.
Complete the equation so that it has one solution.
-2z+3-z=□-4z+2
answer...
ExplanasionStep-by-step explanation:
Step 1: switch sides and add up.
[tex] z + 1 - x = 0[/tex]
Step 2: switch sides for z is alone
[tex]z = x - 1[/tex]
Note: I used the blank space as x.
Multiply and collect like terms: (7x2+8x+2)(−2x2−4x−5)
describe using their angles
Answer:An isosceles is a type of triangle. It contains 2 sides that are the same length and 2 angles are the same. It had only 1 line of symmetry and has no rational symmetry, it always has two dashes opposite each other to show the side are the same length.
Step-by-step explanation:
What temperature should I cook this
fish or while or you or ne or sex
Answer:
350
Step-by-step explanation:
you should cook it between 350-365
I really need help on this please
Answer:
When you simplify you get 5/6. Hence both x can be removed and when divided by the exponents you get x cannot be equal to zero. The Answer is the second.
Step-by-step explanation:
Please help rn!!!!!!!!
Answer:
The correct answer is H: c=2A/h-b
Step-by-step explanation:
A=1/2(b+c)h
Multiply both sides by two: 2A=(b+c)h
Divide both sides by h: 2A/h=b+c
Subtract b: 2A/h+b=c
Math is really difficult for my smooth brain
Answer:
77
try to multiply the 0.85 so u can find a suitable number for the dividend.
SHEET CAKES
--------------------------------------------
$36 Small (Feeds 12 people)
$46 Medium (Feeds 22 people)
$56 Large (Feeds 32 people)
--------------------------------------------
The new pastry chef at Jackson's Bakery specializes in Sheet cakes for parties. She sold 17 small, 11 medium, and 20 large sheet cakes in one week. How much money did Jackson's Bakery make in one week from sheet cakes?
Answer: $2,245 (I know it for this one but not the next one)
How many people would all of the sheet cakes sold in problem 3 feed?
--------------------------------------------------------------------------------------------------------
(Dont need to tell me the answer just tell the steps I need to do)
Answer:
The chef sold 17 small sheet cakes. One small sheet cake can feed 12 people, so the small sheet cakes she sold can feed 17*12 people, which is 204 people. Do this for the medium and large sheet cakes as well, and add them up, and you'll get the answer.
Step-by-step explanation:
Hope this helps!
Answer:
1086
Step-by-step explanation:
1. 7x12= 204(small cakes)
2. 11x22=242(medium cakes)
3.20x32=640(large cakes)
4. add all of the products up
so: 204+242+640
= 1086
This should be correct.
Find the volume of the sphere. **30 points**
Either enter an exact answer in terms of pi or with 3.14
Radius=8
Answer:
The volume of the sphere is 2,143.57
Step-by-step explanation:
The formula for finding the volume of the sphere is
V = [tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]
"r" represents the radius of the sphere. So put the value of it in the formula.
V = ([tex]\frac{4}{3}[/tex])(3.14)([tex]8^{3}[/tex])
V = ([tex]\frac{4}{3}[/tex])(3.14)(512)
Multiply all of them and you will get:
2143.57333333 or 2,143.57 which is the volume of the sphere
Someone please help me
Answer:
,
Step-by-step explanation:
all work shown and pictured
