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Simplify the expression by rewriting it as a complex number in the standard form a+bi
Answers
Given:
The expression is
[tex]\sqrt{64}+\sqrt{-144}[/tex]
Rewriting it as a complex number in the standard form a+bi.
To find:
The missing values in the given simplification.
Solution:
We have,
[tex]\sqrt{64}+\sqrt{-144}[/tex]
It can be written as
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1\cdot 12^2}[/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1}\cdot \sqrt{12^2}[/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot \sqrt{12^2}[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot 12[/tex]
[tex]\sqrt{64}+\sqrt{-144}=8+12i[/tex]
Therefore, the missing values are [tex]-1,\ i,\ 12i[/tex] respectively.
Answer:
Sample Answer for Edmentum
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Step-by-step explanation:
Related Questions
What expression is equivalent to 1/4(8-6x+12)?
A) 7/2x
B)-13/2x
C)-6x+14
D)-3/2x+5
Answers
-3/2x+5
Combine like terms within parentheses
Factor
Reduce numbers
Distribute
When x is a negative integer and y is a positive integer, the statement
below is always true. *
Answers
Which of the following expressions is equal to 5^6/5^2
A) 5.5.5
B) 1/5.5.5.5
C) 5.5.5.5
D) 3
Answers
Answer:
[tex]\dfrac{5^6}{5^2}[/tex] = [tex]5{\cdot}5{\cdot}5{\cdot}5[/tex]
Step-by-step explanation:
The given expression is :
[tex]\dfrac{5^6}{5^2}[/tex]
We need to find this expression is equal to what.
[tex]\dfrac{5^6}{5^2}=\dfrac{5^4\times 5^2}{5^2}\\\\=5^4\\\\=5\times 5\times 5\times 5\\\\\text{or}\\\\=5{\cdot}5{\cdot}5{\cdot}5[/tex]
Hence, [tex]\dfrac{5^6}{5^2}[/tex] is equal to [tex]5{\cdot}5{\cdot}5{\cdot}5[/tex]. Hence, the correct option is (c).
BRAINLIEST
Please help ASAP and leave a small explanation :)
Answers
At the neighborhood grocery, 4.5 pounds of steak cost $47.25. How much would it
cost to buy 4.04 pounds of steak?
Help pls, otherwise I’ll fail ;-;
Answers
Answer:
$42.42Step-by-step explanation:
Use the ratio to solve:
4.5 → 47.254.04 → xCross multiply and solve for x:
4.5x = 4.04*47.254.5x = 190.89x = 190.89/4.5x = 42.42The answer is $42.42
Here,
At the neighborhood grocery,
4.5 pounds of steak cost= $47.25
So,1 pounds of steak cost=[tex]\bold{\dfrac{47.25}{4.5}\$ }[/tex]
According to the question,
4.04 pounds of steak cost=
[tex]\bold{\dfrac{47.25}{4.5}×4.04 }[/tex]
[tex]\bold{\dfrac{\cancel{47.25}}{\cancel{4.5}}×4.04}[/tex]
[tex]\bold{ 10.5×4.04 }[/tex]
[tex]\bold{ 42.42 }[/tex]
so,
42.42$ would it cost to buy 4.04 pounds of steak.
Calculus Problem shown in the attached image. I understand the concept of integrals but this particular question has me perplexed. I doubt its all that complex I just don't fully understand what its asking.
Answers
(a) For some given x, A(x) gives the signed area under f(t) on the interval [a, x]. Since f(t) is simple to integrate, and with a = 2, you can compute it exactly:
A(x) = ∫₂ˣ f(t) dt
A(x) = ∫₂ˣ (3t + 2) dt
A(x) = (3/2 t ² + 2t ) |₂ˣ
A(x) = 3/2 x ² + 2x - 10
which is parabolic and easy to graph.
(b) Differentiating A(x) is also easy if you use the "closed" form above:
A'(x) = (3/2 x ² + 2x - 10)'
A'(x) = 3x + 2
and this function tells you how the area under f(t) changes as you adjust the size of the integration interval.
You can get the same result using the fundamental theorem of calculus:
A'(x) = d/dx ∫₂ˣ f(t) dt = f(x) = 3x + 2
Pls hlp<3 Given ΔBCD ~ ΔEFG. Find the length of BC.
Answers
Answer:
120
Step-by-step explanation:
180-35-25=120
or
35+25=60
180-60=120
Answer:
BC = 200/7 ≈ 28.57
Step-by-step explanation:
Set up a proportion to solve for the missing side length.
BC/CD = FE/EG
BC/25 = 16/14
BC = 16/14 · 25
BC = 200/7 ≈ 28.57
What is the factored form of the expression x2−4x ?
Answers
Explanation: Just factor out x from the expression
The factored form of the expression x² - 4x is,
⇒ x (x - 4)
We have to given that,
To find the factored form of the expression x² - 4x.
We can find the factored form as,
⇒ x² - 4x
Take x as common,
⇒ x (x - 4)
Therefore, The factored form of the expression x² - 4x is,
⇒ x (x - 4)
Learn more aboput the multiplication visit:
brainly.com/question/10873737
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To find the quotient of 4-5 multiply 4 by
A. 1/5
B. 1/4
C. 4
D. 5
Answers
Answer:
5
Step-by-step explanation:
when dividing number by fractions,we can simply multiply the number by the reciprocal of the decimal
so,4÷1/5=4 ×(reciprocal of 1/5 )
A reciprocal of a number is the same no.written under 1 aka.1divided by that number which simply is flipping
numerator and denominator .
reciprocal of 1/5 is 5/1 =5
so 4÷1/5 = 4×5
so answer is 5
hope this is helpful
integers between -9 and -2
Answers
Answer:
Step-by-step explanation:
the integers are -8,-7,-6,-5,-4,-3,
Evaluate the function for
g (-2).
If g(x)= -6x+3, find g(-2).
Answers
Answer:
Step-by-step explanation:
21 bro
Answer:19
Step-by-step explanation:
Which is not a method used for changing the attitude of Employee
= Performance appraisal
Answers
Step-by-step explanation:
Performance appraisal is the answer
Jordan invests £16200 into his bank account
He receives 2.5% per year simple interest.
How much will Jordan have after 5 years?
Give your answer to the nearest penny where appropriate
Answers
Answer:
18225
Use the formula: .
A = final amount
P = initial amount invested
r = annual interest rate
t = time (in years)
Insert all values in appropriate places.
Simplify.
A=16200(1+(0.025)(6))
Answer:
£18,225
Step-by-step explanation:
2.5% of £16,200 = £405
10% of £16,200 = £1,620
5% of £16,200 = £810
5 years: 16,200 + 5 x 405 = £18,225
Pls help extra points and mark brainlist easy reading
Answers
Answer: It's the third one down
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLEST
1. Patrick is saving money to buy a video game that costs $68.
Part A. Patrick receives $6 every week for doing chores at home. Patrick spends $2.00 every week and saves the rest.
How many full weeks will it take Patrick to save enough money to purchase the video game? Show your work and justify your answer.
Part B. Patrick can earn extra money by cutting grass. His neighbors will pay him $4.00 for each lawn that takes him 30 minutes. What is the amount of time, in extra HOURS, that Patrick would have to spend cutting grass to be able to buy a second $68 video game for his friend? Show your work to justify your answer.
Answers
Answer:
part A: 17 weeks sorry if its wrong
part b: 120 hours sorry if its wrong
Step-by-step explanation:
Math
If x =26 and y=2 what is my constant of proportionality?Reduce answer
Answers
Answer:
1/13
Step-by-step explanation:
y is proportional to x ⇒ y = kx
Plug in (26,2) and solve for k:
2 = k·26
k = 2/26 = 1/13
Which equation could have been used to create this graph?
O y = 2x
O y = 4x
O y=x+4
O y = x + 2
Answers
Answer:
y =2x
Step-by-step explanation:
describe how to derive the quadratic formula a quadratic equation in standard form
Answers
Answer:
The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.
Will give brainliest!!! Please help
Answers
Answer:
1. F(12)
2. F(m) = 2,500
3. F(v) ≥ 3,000
4. 0.9F(30)
Answer:
There are many answers to this one. Look at the step-by-step explanation.
Step-by-step explanation:
1. The top one (the amount, in dollars, raised by volunteers) matches with F(12).
2. The next one down (the amount, in dollars, raised by m volunteers is $2,500) matches with F(m) = 2,500.
3. The second to last one down (the amount, in dollars, raised by v volunteers is at least $3,000) matches with F(v) ≥ 3,000.
4. The very last one at that bottom (90 percent of the amount, in dollars, raised by 30 volunteers) matches with 0.9F(30).
Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!
During a sale, a store offered a 40% discount on a tablet that originally sold for $760.
After the sale, the discounted price of the tablet was marked up by 40%.
To the nearest cent, what is the difference between the original price $760 and the price after the markup?
Answers
Answer:
304
Step-by-step explanation: x/760 40/100=
760x40=30,400
30,400 divided by 100=304
The table shows the numbers of pictures you upload to a social media website for 5 days in a row. How many total pictures do you upload during the week when 32% of the total pictures are uploaded on Saturday and Sunday?
Answers
Answer:
I think it's my choice. ;-)))
Write an equation in Standard Form for each story below.
1: Ming sold 2 boxes of grapefruit and 5 boxes of oranges for $103.
Answers
Answer:
2x+5y=103
Step-by-step explanation:
x=price per box of grapefruit
y=price per box of oranges
JELPPPPP it’s due in 5 mins
Answers
The answer is 65
Step-by-step explanation:
all you had to do was divide
If the graph of y = Ixl is translated so that the point (1, 1) is moved to (1, 4), what is the equation of the new graph?
Answers
Answer:
y = |x| + 3
Step-by-step explanation:
The point moved up the y-axis positive 3 units.
Find the missing value pls help
Answers
How to identify if the problem is a sample deviation problem or a population deviation problem?
Answers
Answer:
what?????????????????
Find the area of the shaded region.
Answers
Answer:
42.14
Step-by-step explanation:
First find the area of the square:
14x14=196
Then find the area of the circle:
It has a diameter of 14 so divide it by 2 to get the radius.
Then use the formula πr²
7²=49
49x3.14=153.86
Then subtract
196-153.86=42.14
Which sentence below best explains the process of upwelling
Answers
You roll a number cube twice. What is the probability of rolling a 2 first and then rolling an odd number?
12
Gel.
Answers
Answer:
50/50
Step-by-step explanation:
Write the equation to go with the given information.
8) A bee flies at a rate of 8ft/sec directly to a
flowerbed from its hive. The bee stays at
the flower bed for 1200 seconds, then flies
directly back to the hive at 4ft/sec. It is
away for 2800 seconds. What equation can
you use to find the distance of the flowerbed
to the hive.
Answers
Answer:
Equation is;
(D/8) + (D/4) = 1600
D = 4266.67 ft
Step-by-step explanation:
We are told that the bee flies at a rate of 8ft/sec directly to a flowerbed from its hive. Thus,
speed during this stage is; v1 = 8ft/sec
Time during this stage is; t1
The bee stays at the flower bed for 1200 seconds.
Thus, time at this stage is; t2 = 1200 s
It flies directly back to the hive at 4ft/sec.
Speed at this stage; v2 = 4 ft/s
Time at this stage; t3
We are told that it was away for a total of 2800 seconds.
Thus; t1 + t2 + t3 = 2800
Since t2 = 1200 s, then;
t1 + 1200 + t3 = 2800
t1 + t3 = 2800 - 1200
t1 + t3 = 1600
Now, during time t1, the speed was 8ft/sec, since distance is equal to speed × time, then we have;
D = 8t1
t1 = D/8
During time t3, the speed was 4ft/sec. Thus; D = 4t3
t3 = D/4
Thus,since t1 + t3 = 1600
Then;
(D/8) + (D/4) = 1600
Multiply through by 8 to get;
D + 2D = 1600 × 8
3D = 12800
D = 12800/3
D = 4266.67 ft