Answer:
the modulus of a complex number z = a + bi is:
Izl= √(a²+b²)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nl = 3√10
√(a² + b²+ 2²+ 6²)= 3√10
√(a^2 + b^2 + 40) = 3√10
squaring both side
a²+b²+40 = 3^2*10 = 9*10 =90
a²+b²= 90 - 40
a²+b²=50
So,
|n|=√(a^2 + b^2) = √50
The modulus of n must be equal to the square root of 50.
now
values a and b such
a^2 + b^2 = 50.
for example, a = 5 and b = 5
5²+5²=25+25= 50
Then a possible value for n is:
n = 5+5i
Let n be x+yi
So
√(a²+b²+2²+6²)=3√10√a²+b²+40=3√10a²+b²+40=90a²+b²=50Minimum value is 5+5i as 5²+5²=50
Terry wants to order tickets online for an amusement park. The cost of the tickets is
$15.00 per person. There is also a $3.50 one-time service fee for ordering tickets online.
Write an expression in terms of n that represents the cost for ordering n tickets online.
Answer:
15x+3.5=N
Step-by-step explanation:
hope this helps :)
Answer:
15.00n+3.50
Step-by-step explanation:
I think it is that scence I am not sure what the todal is but if that is wrong just flip flop it scence $15 will always be with the vareable in this case scence it isthe only number that can change but multiplying with 2+.
I really wasn’t paying attention so if you can put an explanation down please that would be amazing
Answer:
16+3 = 19+ 6 =25
Step-by-step explanation:
Add all the numbers
Answer is= 25
An online furniture store sells chairs for $150 each and tables for $600 each. Every day, the store can ship a maximum of 18 pieces of furniture and must sell at least $5400 worth of chairs and tables. If x represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
13,500
Step-by-step explanation:
x + y = 750
750 x 18 = 13.500
The value of the number of tables will be 6 and the number of chairs will be 12.
How to form an equation?When trying to set up or construct a linear equation to fit a real-world application, identify the known quantities and use the unknown quantity as a variable.
In other words, an equation is a set of variables that are constrained through a situation or case.
From the question constraint of a maximum of 18 pieces of furniture
x + y =18
From the question constraint of at least $5400 worth of chairs and tables
600x + 150y ≥ 5400
By equation first, y = 18 - x put this into second
600x + 150(18 - x) ≥ 5400
450x ≥ 2700
x ≥ 6 hence there is need to sell at least 6 tables.
Put x =6 into x + y =18 then
y = 12 hence at least 12 chairs need to be sold.
For more about the equation
brainly.com/question/2263981
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Let measure of angle B be 18 degrees and BC = 9. Find the length of AC, BA and the measure of angle C. Round to 1 decimal place when needed. Show all of your work.
Answer:
m∠C = 72°
BA = 8.6
AC = 2.8
Step-by-step explanation:
We can start by finding the sum of all angles in a triangle to find angle C. The sum of all angles is 180°, so we can write the equation:
m∠A + m∠B + m∠C = 180°
And substitute what we have:
90° + 18° + m∠C = 180°
108° + m∠C = 180°
m∠C = 72°
In order to find the side BA, we can use trig functions. We are given the hypotenuse and we are looking for the side adjacent to ∠B. The trig function that relates the two is cosine. We can set up the equation as follows:
cos(∠B) = [tex]\frac{BA}{BC}[/tex]
cos(18°) = [tex]\frac{BA}{9}[/tex]
9 * cos(18°) = BA
BA ≈ 8.559508647
And when we round, we get:
BA = 8.6
In order to find the side AC, we can use trig functions. We are given the hypotenuse and we are looking for the side opposite to ∠B. The trig function that relates the two is sine. We can set up the equation as follows:
sin(∠B) = [tex]\frac{AC}{BC}[/tex]
sin(18°) = [tex]\frac{AC}{9}[/tex]
9 * sin(18°) = AC
AC ≈ 2.781152949
We can round this to:
AC = 2.8
A square mirror has a perimeter of 8 ft how long is each side of the mirror
Answer:
2 ft
Step-by-step explanation:
Perimeter = 4 * sides
8 ft = 4 * s
side = 2 ft
Answer:
2 ft
Step-by-step explanation:
8/4 = 2
You spin a spinner labeled 1-10 evenly. what are the chances you will get an odd number?
Answer:
1/2
Step-by-step explanation:
Please help I need to pass this test so I can bring my grades up!
Answer:
8. 24
9. 10
2. 72
1. 113
5. 7.96 = 8
11. 30.19 = 30.2
6. 28.27 = 28
That's all I can answer right now, maybe study a bit more and your grades will get better! Good luck!
WILL GIVE BRAINLIST Please help
Sample Answer:
Both prisms are equal in volume, with it being 30 in^3. Although the triangle prism has a length of twice as much, this is countered by the formula for a triangular prism which requires for it to be divided by 2, where this is not present within the formula for a rectangular prism.
Step-by-step explanation:
For this, just pretend that h=1 to make the math easier. So the rectangular prism has a cross section that is 6 by 5 inches, so that will be its L & W.
The triangular prism has a cross section that is a 12 inch base times a 5 inch interior height, this will give the triangle's length and height respectively In this case, h will be its width, making the Base of the triangle which is Length * Width. Think of it like flipping over this prism, making the side facing you and make it the bottom of the prism.
Now, with the formulas for volume of the prisms:
Rectangular: L * W * H
Triangle: (L*W * H) / 2
Then just plug in the numbers:
Rectangular Prism:
L * H * H
6 * 5 * 1
30 * 1
30
Triangle Prism:
(12 * 5 * 1) / 2
60 / 2
30
They are equal to each other.
Anthony has $3750 that he wants to invest. He plans to leave the money there for 9 years. If his investment gets 6.35% interest compounded continuously, how much will he have at the end of 9 years? Round your answer to the nearest whole number?
Answer:
[tex]A= P(1+\frac{r}{n})^{nt}[/tex]
P = 3750
r = 6.35% = 0.0635
n = 365
t = 9
[tex]A= 3750(1+\frac{0.0635}{365} )^{365*9}\\\\[/tex]
[tex]= 3750(1+\frac{0.0635}{365})^{3285} = 6640.63[/tex]
Answer = $6641
I need help solving this. 8÷2(2+2)
Answer:
16
Step-by-step explanation:
8/ 2*(2+2) = 4*(2+2) = 4*4 = 16
Help me please lolll
Answer:
2.423
Step-by-step explanation:
Surface that is not water: 5.1 - 3.61 = 1.49
How many times water is bigger than not water: 3.61/1.49 = 2.423
Which sequences are converging? Check all that apply.
an
n4
10n3
n2-2n
an
2n2
an
=
25 - 4n3
2n2-n.
n2 +5n+6
an
n +3
m2-n +6
n3 – 3n²
Answer:
B & E
Step-by-step explanation:
Edge trust me
A map scale has 1cm:3miles the distance between two towns 7 cm what is the real life distance between the two towns?
Answer: 21 miles
Step-by-step explanation:
7x3 = 21 miles
In a blind taste test, 25 people chose brand A, 15 people chose brand B, and 10 people chose
brand C. There are 200 more people to be surveyed. Based on the data, which is most likely.
to happen?
About 10 more people will choose brand B than brand C.
About 30 more people will choose brand C.
About 30 more people will choose brand A than brand B.
About 100 more people will choose brand A.
Answer: About 100 more people will choose brand A.
Step-by-step explanation:
Number of people who chose brand A = 25
Number of people who chose brand B = 15
Number of people who chose brand C = 10
Total number of people = 25+10+15 = 50
Since there are 200 people left, we'll equate them based on the data given and this will be:
For A = 25/50 × 200 = 100
For B = 15/50 × 200 = 60
For C = 10/50 × 200 = 40
Therefore, about 100 more people will choose brand A.
Answer:
About 100 more people will choose brand A
Step-by-step explanation:
i ready:)
BRAINLY! BRAINLIST. HELP ME. HELP. ANY QUESTION!!!
Answer:
Number one is 1624cm²
Number two is 32in²
For these problem you area calculating the surface area of the given objects. To calculate surface area you find the area of each side of the object and adding them together. length multiplied by width is the equation for area.
What value of x will make x1/4=3 true?
Answer:
okay so, x would be 12
Step-by-step explanation:
( if you ever see p5 (or any other variable) then that’s means you gotta multiply, so maybe imagine it like px5, p5 would just be a easier way.)
1. x times 1 divided by 4 is 3, a simpler way to put it!
x would be 12 since 12x1 is 12
2. We divide 12 by 4 which gives us a total of 3
hope this helped!
Find the distance speed=96km/h time=20 mins
Answer:
32km
Step-by-step explanation:
speed=96km/h
time=20mins=1/3hour
Distance=Speed×Time➜96×1/3
➜96/3
➜32km
use Pythagorean theorem to find right triangle side le
Find the value of 2 in the triangle shown below.
Elise is investing 10,000 in an account that earns 2.25% simple interest. How many years will it take to have a balance of 12,700 in her account, if she does not add or withdraw from the account?
Answer:
12 years
Step-by-step explanation:
The formula to solve the above question i.e to find the time is given as:
Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.25%/100 = 0.0225 per year,
then, solving our equation
t = (1/0.0225)((12700/10000) - 1) = 12
t = 12 years
Therefore, if she does not add or withdraw from the account, the time it
will take to have a balance of 12,700 in her account is 12 years
please help me!! no links<3
On a number line 6.64 would be located 
Find the probability of rolling divisors of 8.
What is 2√47. please help me. I need this ASAP
Answer:
13.7113092008
Step-by-step explanation:
hope this helps
Answer:
As a decimal form it is 13.71130920... If you are looking for another form just tell me I am happy to help
Step-by-step explanation:
Please help! ! ! 10 points !!
Answer:
the factor is 2 because 7x2 is 14 and 3x2 is 6
There are 4 brown socks and 14 blue socks in a drawer. In the dark, Jason pulls out a sock and puts it on his right foot. Then he pulls
out another sock and puts it on his left foot.
What is the probability that Jason has two brown socks on his feet?
Answer:
2/51
Step-by-step explanation:
# of brown socks = 4
# of blue socks = 14
total # of socks = 18
The probability of pulling 1 brown sock = 4/18
If he were to pull one brown sock there would be 1 less sock in the total # of socks and 1 less in the # of brown socks
So after the first pull ( if it were to be a brown sock )
there would only be 3 brown socks and 17 total socks
So the probability of pulling a brown sock then would be 3/17
Finally we multiply the two probabilities to get the answer
4/18 * 3/17 = 2/51
Hence, the answer is 2/51
PLEASE HELP
WILL GIVE BRAINLIEST!!!
Answer:
5/16 pounds
Step-by-step explanation:
The problem mentions that Audrey needs to cut a 5-pound block into 16 pieces. This means that each of the 16 pieces of cheese must weigh the same, thus we have to divide 5 pounds by 16 to divide the weight equally. Thus, all you need to do is divide 5 by 16, giving you 5/16. Therefore, your answer is that each block of cheese weighs 5/16 pounds.
Answer:
0.3125 pounds
Step-by-step explanation:
Each wedge of cheese weights 0.1325 pounds
Please help!! Will give BRAINLIEST!!!!
Answer:
domain is all real numbers except -6
Step-by-step explanation:
Answer:
domain is all real numbers except -6
Step-by-step explanation:
y=x+3
y=1/3x-5
solve and graph
Answer:
(-9, -12)
Step-by-step explanation:
Given the expressions
y=x+3
y=1/3x-5
Equating both expressions;
y = y
x + 3 = 1/3x - 5
x - 1/3x = -5 -3
2/3 x = -8
x/3 = -4
x = -12
Since
y = x+ 3
y = -12 + 3
x = -9
Hence the required solution is (-9, -12)
is it prependicular or overlapping
Find the center and radius of this
circle.