Let z = 8 – 3i, and z2 = a + bi. What are the values of a and b?
The values of a and b from the given complex numbers is 8 and -3 respectively.
The standard form of representing complex number is expressed as z = x + iy
Given the complex numbers z = 8 – 3i, and z2 = a + bi
To get the values of a and b, we need to compare both expressions as shown:
For the real part;
a = 8
For the imaginary part:
-3i = bi
-3 = b
Swap
b = -3
Hence the values of a and b from the given complex numbers is 8 and -3 respectively.
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Solve 6(x - 3) + 7 = -5.
The answer will be:- x = 1
round 73.03 to the 1 decimal place
Answer:
The answer is 73.0 or just 73
Find the perimeter. Simplify your answer.
Express y²-16y+k as a perfect square.
Answer:
(y-4)(y+4)
Step-by-step explanation:
When you factor the y^2 you need to factor the rest of your equation. Your K does not exist since it is a perfect square and there is no c. Then you square 16 which is 4 so you have (y-4) (y+4). Hope this helps :)
Use the model to find the missing number in the pair of equivalent expressions.
15 + 9 = ?(5 + 3)
What number is missing from the expression?
Answer:
3
Reasoning:
[tex]3(5+3)=15+9[/tex]
Distribute three to the numbers to get 15+9.
The total operating costs of a monorail are paid using a combination of passenger fares and tax revenue. The farebox recovery ratio is the ratio of passenger fares to total operating costs. A monorail in one city has $69 million in operating costs per year, and uses $30 million from tax revenue.
To the nearest hundredth, what is the farebox recovery ratio for the city?
Answer:
0.57 or 0.56
Step-by-step explanation:
passenger fares + tax revenue = operating costs
Thus:
passenger fares = operating costs - tax revenue
= $69 million - $30 million
= $39 million
The ratio of passenger fares to total operating costs is:
$39 million
= 0.5652.
$69 million
To the nearest hundredth, the farebox recovery ratio is 0.57.
The cost of using a game facility is $1 for every 12 minutes. Talisa writes the function for the cost per hour as ()=. Explain Talisa’s error.
Using proportions, it is found that Talisa's error was at calculating the cost per minute of the game.
In the function:
The input is x, which is the number of minutes.The output is f(x), which is the cost of playing the game for x minutes.Talisa's expression is given by:
[tex]f(x) = 12x[/tex]
The cost of using a game facility is $1 for every 12 minutes, hence, the cost per minute is:
[tex]c = \frac{1}{12}[/tex]
And the correct expression for the cost is:
[tex]f(x) = \frac{x}{12}[/tex]
Hence, it can be seen that Talisa's error was at calculating the cost per minute of the game.
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instant oatmeal regularly sells for $3.67 a box. oatmeal is now 2 for $5.00. how much can Norris Russell save by purchasing 2 boxes?
Answer: $2.34
Step-by-step explanation: first add $3.67+$3.67 that equals $7.34
then subtract 7.34 by 5.00 to get 2.34
Norris Russell saved $2.34
Answer:
$3.67+$3.67=$7.34
Subtract 7.34 by 5.00 to get 2.34
Norris Russell saved $2.34
us
What is the dividend yield on Stock A that sells at
15 $/share, when Company A pays a quarterly
dividend of $0.15 per share?
dividend yield = [?] %
Give your answer as a percent rounded to the
nearest tenth.
Fnter
Answer:4
Step-by-step explanation: $0.15 x 4 = 0.6
0.60 divide by 0.15
= 4.
What does a residual value of â€""0. 8 mean in reference to the line of best fit?.
Residuals are used to determine how the line of best fit relates to the data points
A residual value of -0.8 means, the point is 0.8 units above the line of best fit
The residual value is given as:
[tex]\mathbf{Residual = -0.8}[/tex]
When the residual value is less than 0 (i.e. negative), then the point is above the line of best fit.
So, the interpretation of a residual value of -0.8 is that, the point is 0.8 units above the line of best fit
Read more about residuals at:
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When deriving the Quadratic Formula, we start with the general equation for a quadratic:
Answer:
Step-by-step explanation:
c sssgraph:
y=150x+50
y=200+150x
Answer:
y=150x+50
y=200+150x
Step-by-step explanation:
y=150x+50
y=200+150x
(sin30° + cos30°) – (sin 60° + cos60°)
Answer:
0
Step-by-step explanation:
Sin 30° = ½
Cos 30° = √3/2
Sin 60° = √3/2
Cos 60° = ½
Therefore,
(½ + √3/2) - (√3/2 + ½)
[tex] \frac{1 + \sqrt[]{3} }{2} - \frac{ \sqrt{3 + 1} }{ 2 } [/tex]
[tex] \frac{1 + \sqrt{3} - \sqrt{3} - 1}{2} [/tex]
[tex] \frac{0 - 0}{2} [/tex]
Answer: 0
For more information on trigonometric refer to this link
discount is calculated on which price
Answer:
The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage. Where: L = List Price. S = Sale Price
What is the solution of ?
Answer:
of what???????..???..
The temperature in Birmingham is 5°C colder than in London ( London temperature is 6 ). What is the temperature in Birmingham
Answer:
1˚C
Step-by-step explanation:
First, you take 5 away from 6
5 = 5°C colder than in London
6 = The temperature in London
1ºC. 6 minus 5 equals 1.
and also that is quite easy for high school.
Complete the table shown to the right for the population growth model for a certain country.
The size of the population increases when the growth rate is positive and
decreases for a negative growth rate.
The completed table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
Reasons:
The table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right][/tex]
The population in growth rate is given by the following formula;
P = a·(1 + r)ˣ
Where;
a = The initial population in 2003 = 40.5 million
P = The population in 2029 = 20.9 million
x = The number of years = 2029 - 2003 = 26
Therefore;
20.9 = 40.5 × (1 + r)²⁹
[tex]\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}[/tex]
[tex]r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx -0.02255[/tex]
The population growth rate is r ≈ -0.02255 = -2.255 %
The completed table is therefore;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
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CAN SOMEONE HELP ME PLEASE ASAP!
answer is 10,029 ft/h if I'm not wrong
Evaluate the expression for p = 2.4 and q = 8.
Write your answer as a decimal or whole number.
pq =
Answer:19.2
Step-by-step explanation:
Answer:
19.2
Step-by-step explanation:
pq is the same as p x q.
then substitute into the above equation 2.4 x 8= 19.2 as a decimal and a whole number
Express each ratio as a fraction in the simplest form:
8dm to 3.2 m and 0.3k to 500 m
Answer:
1/4, 3/5
Step-by-step explanation:
0.8/3.2=8/32=1/4
0.3/0.5=3/5
You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.
Answer:
You tutor for 4 hours
Step-by-step explanation:
If you count all the boxes, there are 6
12/6 is 2
You have 2 boxes so you do 2*2 which is 4
THE ANSWER IS 4
Answer:
24
Step-by-step explanation:
i added the time frame of you both tutoring ig.
it takes minutes to do 7 math problems how long does it take to do 20 math problems
Answer:
can you please explain that a little more
phân tích đa thức thành nhân tử 8x^2+16xy
haha 6 days of history, 3 weeks of math, and 1 week of english all to do tn. It's currently 9:27. oh well who cares aha kinda funny tho
Answer:
Good Luck - You can do it!!!!!!!
Step-by-step explanation:
I once had 3 months of math to do in one night, but I was able to complete it through online videos. Never Give Up!
Answer:
Sorry about that
Step-by-step explanation:
I hope you finished it all
Determine the percentage of the square that belongs to each of the four regions. (image included)
help!!
Step-by-step explanation:
maybe you can try to measure each of the ways maybe and you can get the equation
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
d ≥ -7 ? (ignore.....................................................................................................................................)
What is the solution to the system of equations?
y = 2x -1
y = -x +5
x= −2 and y=3
I can't explain this very well, sorry.
Which step? I’m sort of confused
The answer is C) Step 3
Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.
The right steps are:
-4/5 / 8/-3
Flip the second part to multiply:
-4/5 * -3/8
Multiply:
12/40
Simplify:
3/10
I hope this helps!
The elephants at the zoo eat 5/6 of a bucket of bananas each day. The zookeeper bought 2 1/2 buckets of bananas. How many days will the bananas last?
Answer:
3 days
Step-by-step explanation:
We know that there is 5/2 buckets of bananas, and each day 5/6 is eaten, so the answer is 5/2 divided by 5/6 which is 3
Answer:
3 days
Step-by-step explanation:
2 1/2 ÷ 5/6 = 3
Therefore, the bananas will last 3 days.