Simplify. 4i√-24
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Answers
The simplification of the given function as complex number would be -8√6 .
What is simplification of an expression?
Simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.
We have been given a function as complex number that is 4i√-24
We can also write it as;
4i√24 √-1
= 4i√2³ 3 √-1
= 4i (2) √6 (i)
Then simplify;
= 4 2i² √6
= 8 (-1)√6
= -8 √6
Therefore, the simplification of the given function as complex number would be -8√6 .
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Answer:
Step-by-step explanation:
Related Questions
What is r in the problem d=2r
The management of the unico department store has decided to enclose an 834 ft2 area outside the building for displaying potted plants and flowers. one side will be formed by the external wall of the store, two sides will be constructed of pine boards, and the fourth side will be made of galvanized steel fencing. if the pine board fencing costs $6/running foot and the steel fencing costs $3/running foot, determine the dimensions of the enclosure that can be erected at minimum cost. (round your answers to one decimal place.)
In a recent election Corrine Brown received 13,436 more votes than Bill Randall. If the total number of votes was 119,444 find the number of votes for each candidate.
Please I really need help can you help me
Answers
Answer:
B
Step-by-step explanation:
1^2 + 8^2 = c^2
1 + 64 = c^2
65 = c^2
√c^2 = √65
Answers
Final answer:
To reach a savings goal of $300,000 at the end of 25 years, you need to invest approximately $4,206.42 semiannually with a 5% interest rate compounded semiannually.
Explanation:
To calculate the amount of money you need to invest semiannually to reach a savings goal of $300,000 at the end of 25 years, you can use the formula for the future value of an annuity:
FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)
Where FV is the future value, P is the amount you need to invest each period, r is the interest rate per period (5% in this case), n is the number of compounding periods per year (2 for semiannual compounding), and t is the number of years.
Inserting the given values into the formula:
FV = P * ((1 + 0.05/2)^(2*25) - 1) / (0.05/2)
Solving for P:
P = FV * (r/n) / ((1 + r/n)^(n*t) - 1)
Substituting the values:
P = 300,000 * (0.05/2) / ((1 + 0.05/2)^(2*25) - 1)
Calculating the value of P, we find:
P ≈ 4206.42
Therefore, you need to invest approximately $4,206.42 semiannually to reach your savings goal of $300,000 in 25 years.
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k =
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Answers
Solution:
Using formula (a-b)^2 = a^2-2ab+b^2
Answer:
k = 9
Answer:
Using formula (a-b)^2 = a^2-2ab+b^2
4x 2 −12x+k
=>(2x) 2 −2(2x)(3)+3 2
=>(2x) 2 −2(2x)(3)+9
=> k = 9
Answers
Explanation
From the image, it can be seen that the initial position of the lightning bolt is in the first quadrant.
After it has been rotated 270 degrees clockwise, it moves by three quadrants and stays in the second quadrant
Answer: Option B
Answers
Answer:
9x^2 + 12x
Step-by-step explanation:
The area of the blue
3* 3x^2 = 9x^2
The area of the pink is
3* 4x = 12x
Add them together
9x^2 + 12x
A peak is where the frequency is lowest.
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
A peak is a bar that is higher than the other bars around it.
Intervals on a histogram where there are no bars mean the frequency is 0.
If the graph is symmetrical, the data is clustered toward the right side.
If the graph is symmetrical, the data is evenly distributed.
Answers
The correct statement about histogram is as follows;
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
A peak is a bar that is higher than the other bars around it.
Intervals on a histogram where there are no bars mean the frequency is 0.
If the graph is symmetrical, the data is evenly distributed.
We have to determine, which descriptions of a histogram are true?
According to the question,
A histogram meaning can be stated as a graphical representation that condenses a data series into an easy interpretation of numerical data by grouping them into logical ranges of different heights which are also known as bins.
Characteristics of a Histogram are as follows;
A histogram is used to display continuous data in a categorical form.
In a histogram, there are no gaps between the bars, unlike a bar graph.
The width of the bins is equal.
A histogram is a type of representation of a data set where bars are used to represent the frequencies.
The area of these bars is said to be proportional to the frequency of the variable.
The peak of a histogram represents the highest value of frequency. Also, the peak is a bar that is higher than the other bars around it.
In a histogram intervals wherein bars cannot be seen would represent the frequency of that would zero.
Also, if the histogram is said to be symmetrical, then the data should be distributed evenly.
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
For more details refer to the link given below.
Answer:
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
A peak is a bar that is higher than the other bars around it.
Intervals on a histogram where there are no bars mean the frequency is 0.
If the graph is symmetrical, the data is evenly distributed.
Step-by-step explanation: