Answers
Answer:
4√3 [cos (2π/3) + isin(2π/3)]
Step-by-step explanation:
We are to write out the polar form of:
-2√3 - 6i
In Mathematics:
The polar form of a given complex number a + bi is given as r[cos(θ)+isin(θ)],
where r =√a²+b²and
θ = arc tan (b/a) when a is > 0
or arc tan (b/a) + π or arc tan (b/a) + 180 when a is < 0
From the above question:
-2√3 - 6i
We have that
a = −2√3 and b = −6
Hence:
r =√a²+b²
r = √(-2√3)² + (-6)²
r = √(4 × 3) + 36
r = √12 + 36
r = √48
r = √16 × 3
r = 4√3
a is < 0
Hence,
θ = arc tan (b/a) + π
θ = arc tan (-6/-2√3) + π
θ = 2π/3
Substituting 4√3 for r and 2π/3 for θ in:
r[cos(θ)+isin(θ)]
-2√3 - 6i = 4√3 [cos (2π/3) + isin(2π/3)]
Answer:
its d
Step-by-step explanation:
i just did the test
Related Questions
You start hiking at an elevation that is 550 meters below sea level. You increase your elevation by 45 meters. What is the new elevation? Write an addition expression and solve
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Answer:505 meters
Step-by-step explanation: 550-45=505
5, 18, 6, 18, 13 WHATS THE MEAN ABSOLUTE DEVIATION??
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Step-by-step explanation:
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b is your answer hope it helps
Hansika paid $9.25 for 2.8 pounds of pretzels. About how much did she pay for a pound of pretzels? ( Round your answer to the nearest whole number )
Answers
Answer:
$3
Step-by-step explanation:
$9.25/2.8
= $3.3035714285
= $3 (rounded to the nearest whole number)
Hope this helped!
plssss help me ASAPPPPO
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Answer:
x= 20........…….......
Can someone help me out with this please!
What is the domain and range of the function: y= 10(4) + 100
Domain: ____
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Range is 140 because it would be a straight line
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Responder:
4x + 20
Explicación paso a paso:
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A rectangle has an area of 35 3 5 meter and a width of 78 7 8 meter. What is its length? 35×78 3 5 × 7 8 Yes No B Greg wants to divide a 712 7 12 of a yard length of ribbon into pieces that are 14 1 4 of a yard long. How many pieces can he make? How many pieces can he make? 14×712 1 4 × 7 12 Yes No C Olivia has 23 2 3 of an hour to write thank you notes. It takes her 112 1 12 of an hour per thank you note. How many can she write? 23×121 2 3 × 12 1 Yes No D A recipe requires 13 1 3 of a cup of nuts. Jim has 14 1 4 of a cup of nuts. How much of the recipe can he make? 14×31 1 4 × 3 1 Yes No Please double-check all your answers before continuing. You will need to enter them all again if any are incorrect.
Answers
Question is not very clear, however answers will reflect numbers seen(with some assumptions since some questions are not entirely complete)
Answer and explanation:
1. If a rectangle has an area of 35 meters and width of 78 meters, what is the length
Given that area of rectangle is length *width
Let's call length x
We have the equation
78*x=35
78x=35/78
x= 0.449
Therefore length =0.449 meters
2. Greg wants to divide a 712 yard long ribbon into pieces of 14 yard long each.
How many pieces can he make?
Let's assume the ribbon is a square then it's area is 712*712= 506944
To find number of 14 yard long pieces from the 712 yard long ribbon, we first find area for 14 yard long ribbons= 14*14= 196
number of 14 yard long pieces from the 712 yard long ribbon= 506944/196
= 2586.449 pieces
3. Olivia has 23 minutes an hour to write thank you notes. It takes her 12 minutes of an hour per thank you note. How many can she write?
Since it takes Olivia 12 minutes to write thank you notes but she has 23 minutes to write one, in one hour(1 hour =60minutes) she would be able to write
60 minutes /12 minutes = 5 thank you notes instead of
60 minutes /23 minutes= 2.609 or 2 thank you notes
4. Jim has 14 cups of nuts. How much of the recipe can he make?
If recipe requires 7 cups of nuts for instance, Jim would be able to make 14/7 = 2 of the recipe
5(x-4)=15
find out what x is
Answers
Answer:
7
Step-by-step explanation:
7-4=3
5×3=15
plz mark brainliest
Answer:
x=7
Step-by-step explanation:
-5*(x-4)-(-15)=0
(0 - 5 • (x - 4)) - -15 = 0
35 - 5x = -5 • (x - 7)
-5 • (x - 7) = 0
Solve : x-7 = 0
Add 7 to both sides of the equation :
x = 7
25 pts
At birth, a puppy weighed 14 lbs. At one years old, the puppy weighs 35 times its birth weight. How much does the puppy
weigh now?
Answers
Answer:
490lbs.
Step-by-step explanation:
Answer:
490 lbs
Step-by-step explanation:
times means multiplication, so 35 times means 14 rows of 35 (and vice versa).
14 x 35
490
(Check the attached file for a full count)
While hiking, Diego drank 2¼ liters of water. Lin drank 1⅗ liters of water. How much more did Diego drink than Lin?
Answers
Answer: 13/20
Step-by-step explanation:2 1/4 - 1 3/5 = 13/20
Answer:
13/20
Step-by-step explanation:
Question is in image
Answers
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[tex]y = - \frac{1}{4} x + 4 \\ [/tex]
Multiply sides by 4
[tex]4 \times y = 4 \times ( - \frac{1}{4} x + 4) \\ [/tex]
[tex]4y = 4 \times ( - \frac{1}{4} x) + 4 \times 4 \\ [/tex]
[tex]4y = - x + 16[/tex]
Add sides x
[tex] + x + 4y = + x - x + 16[/tex]
[tex]x + 4y = 16[/tex]
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The correct answer is (( C )) .
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For f(x) = 4x +1 and g(x) = x2 - 5, find (g/f) (x).
Answers
Answer:
[tex]\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}[/tex]
Step-by-step explanation:
[tex]f(x)=4x+1[/tex]
[tex]g\left(x\right)=x^2\:-\:5[/tex]
As
(g/f)(x) = g(x) / f(x)
[tex]=\:\frac{x^2\:-\:5}{4x+1}\:\:\:\:\:\:[/tex]
[tex]=\frac{x}{4}+\frac{-\frac{x}{4}-5}{4x+1}[/tex]
[tex]=\frac{x}{4}-\frac{1}{16}+\frac{-\frac{79}{16}}{4x+1}[/tex]
[tex]=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}[/tex]
Therefore,
[tex]\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}[/tex]
Find the unit price of 8 mugs for $38.32. (Note: unit price is the price of 1 item. In this example, unit price means the price of 1 mug)
Answers
Answer:
$4.79 a piece
Step-by-step explanation:
38.32/8=
Answer:
$4.79
Step-by-step explanation:
$38.32 divided by 8 = $4.79
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Answers
Solve -17 = x/-3 for x. x =
Answers
Answer:
x equals 51
Step-by-step explanation:
1. Do the inverse operation of x/-3 which is multipulcation.
2. Multiply -17 by -3 to get the answer of 51.
Finish the equation by saying that x = 51, or 51 = x.
Answer:
X=51
Step-by-step explanation:
You would have to multiply 17 by 3.
10x3=30
7x3=21
then you add 30 and 21 which equals 51
Determine how (if possible) the triangles can be proved similar.
Answers
Answer:
opposite sides are congruent and parrallel
Step-by-step explanation:
im pretty sure im correct because i learned this in 10th grade for Algebra
Answer:
SAS Similarity
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Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table. Number Cube Number Observed Frequency 1 18 2 16 3 24 4 26 5 16 6 20 How does the experimental probability of rolling a 3 compare with the theoretical probability of rolling a 3?
Answers
Answer:
A
Step-by-step explanation:
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A block of cheese has a volume of 189 cm3 and a mass of 150 g.
What is the density of the cheese in g/cm3 rounded to 2 decimal places?
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Answers
Density is just mass divided by volume.
So it was 150/189
A golf ball is hit with an initial velocity of 80 ft/sec.Use the equation h(t)=80t-16t^2 where h(t) is the height of the object in feet and t is the time in seconds. How long will it take for the ball to hit the ground?
Answers
Answer:
The ball takes 5 seconds to hit the ground
Step-by-step explanation:
The equation to model the height of a golf ball in time t is:
[tex]h(t)=80t-16t^2[/tex]
There are two moments when the height is zero: At launch time and when it hits the ground. To find the last time, we equate:
[tex]80t-16t^2=0[/tex]
Factoring out t:
[tex]t(80-16t)=0[/tex]
It gives us two solutions:
t=0
[tex]80-16t=0[/tex]
Solving:
[tex]-16t=-80[/tex]
[tex]t=-80/(-16)=5[/tex]
t = 5 sec
Thus, the ball takes 5 seconds to hit the ground
What is 19 divided by 20 using long division & decimals?
Answers
Answer:
0.95
(Don't have paper, because I accidentally threw away paper )
help me please with my algebra
Answers
Answer:
y - 3 = -3 ( x - 7 )
Step-by-step explanation:
→ It is true for all values as you substitute in the x value and get the y as the output
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Answers
Answer:
$0.84
Step-by-step explanation:
Order the numbers from least to greatest 5/9, 7/12, 3/4, 13/18
Answers
Answer:
5/9 , 7/12 , 13/18 , 3/4
Step-by-step explanation:
give brainliest pls
Teresa feeds her dog 1/3 can of dog food each day. How many days can Teresa feed her dog with 5 cans of food?
Answers
5/(1/3) = 15 days
The gross domestic product (GDP) of France is about $2.00 × 10 12 12 , and the GDP of Tuvalu is about $4.00 × 10 7 7 . How many times larger is the GDP of France than the GDP of Tuvalu?
Answers
Answer:
France's GDP is 50 000 times larger than Tuvalu's GDP.
Step-by-step explanation:
Given: Gross Domestic Product (GDP) of France = $2.0 x [tex]10^{12}[/tex]
Gross Domestic Product (GDP) of Tuvalu = $4.0 x [tex]10^{7}[/tex]
To determine the number of times in which the GDP of France is greater than that of Tuvalu, divide the GDP of France by the GDP of Tuvalu.
[tex]\frac{2.0*10^{12} }{4.0*10^{7} }[/tex] = [tex]\frac{2000000000000}{40000000}[/tex]
= [tex]\frac{200000}{4}[/tex]
= 50000
Therefore, France's GDP is 50 000 times larger than Tuvalu's GDP.
1. Use pictures or words to
describe a combination of
coins you could use to make
$3.85?
Pls help and it’s Canadian money
Answers
Answer:
Step-by-step explanation:
Good thing you said it was Canadian Money. Pennies are gone and loonies and toonies are used.
1 Toonie = $2.00
1 Loonie = $1.00
3 quarters= .75
2 dime .10
3.85
4x + 1 = 2x-5 helppppppppppppp hurryyyyyyyy
Answers
Answer:
x = -3
Step-by-step explanation:
Hope this helped!
Pls help its urgent im so confused and my brain feels like its burning from all the useless thinking I've done on this one question..
It says, "Simplify the Expression. Assume x is a non zero. Your answer should only have positive exponents"
Expression: x^-10×x^6
Answers
Answer:
Step-by-step explanation:
1/(x^4) or x^-4
Answer:
[tex]\frac{1}{x^{4}}[/tex]; x ≠ 0
Or if thats wrong, just put 1/x^4
Step-by-step explanation:
Okay so heres how we solve this
Rewrite:
The "x is a non zero" is a very poorly written exception so I completely understand if you started racking your brain over that
[tex]x^{-10}*x^6[/tex] ; x ≠ 0
Note; you can ignore the expression until you write the simplified answer.
1 - Multiply using rules of exponents
[tex]x^{-10} * x^6 = x^{(-10~+~6)} = x^{-4}[/tex]
2 - Get rid of the negative exponent by using rules of exponents
[tex]x^{-4} = \frac{1}{x^4}[/tex]
3 - Rewrite with it being simplified
1/(x^4); x ≠ 0