Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.
Suppose m = 2 + 6i, and |m + n| = 3√10 , where n is a complex number.
a. What is the minimum value of the modulus of n?
√10
Provide one example of the complex number, n.
A = J → 2 + 6i
B = F →75
C = H → -3 - i
D = I → 1 + i
E = G → 5 + 5i
these are my matching pairs
Answer:
might be wrong but i think A
Step-by-step explanation:
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
Lateral area
Surface area
Answer:
Step-by-step explanation:
There are 173 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 46 fans?
Answer:
4 buses
Step-by-step explanation:
There are 173 basketball fans
one bus can hold 46 fans
Hence the number of buses needed can be calculated as follows
= 173/46
= 3.76
= 4
Hence 4 buses are needed
I need help with math :)
Answer:
i think its the first one y<1/3x-1
Answer:
The second answer choice
Step-by-step explanation:
What is the prime factorization for 48?
Answer:
2^4 × 3
Step-by-step explanation:
is it a solution or not
y = 2x
y = x + 1
see question above to solve
Answer:
b = 30°
Step-by-step explanation:
a + b + 90° = 180°
60° + 90° + b = 180°
150° + b = 180° ( subtract 150° from both sides )
b = 30°
Which alternative is the reciprocal of -1/4?*
A. - 4
B.-1/4
C. 1/4
D. 4
Answer:
b is the correct answer ok
What is the area of the parallelogram?
Answer:
A=Bh
Step-by-step explanation:
use that formula for your calculation and it should help hopefully
Missy and Bill were asked to evaluate the expression -3(-2 + 5).
Answer:
-9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
using BODMAS, our mathematical operation begins with the bracket.
it implies that from -3(-2+5), we solve the bracket.
-2+5=3
then our mathematical operation is the 'of' operation.
it implies that -3(3) = -9
Answer is -9
Piecework-defined function help??
Answer:
10
-1
1
2
Step-by-step explanation:
f(3) this one we use the second question (because the value that x is equal to is between 0 and 4)
3²+1=10
f(6) = -1 because this value is greater than 4
because the second equation has 0 inclusive we use this one for f(0)
0²+1=1
F(-3) for this one the answer is just two because x is less than 0
A warehouse worker is stacking boxes. The height of each box is 20 centimeters. She cannot stack the boxes higher than 5 feet.
1 inch 2.54 centimeters, 1 foot = 12 inches
What is the maximum number of boxes the warehouse worker can stack? Enter the answer in the box.
boxes
Answer:
7 boxes
Step-by-step explanation:
We'll begin by writing convert 5 ft to in. This can be obtained as follow:
1 ft = 12 in
Therefore,
5 ft = 5 ft × 12 in / 1 ft
5 ft = 60 in
Next, we shall convert 60 in to cm. This can be obtained as follow:
1 in = 2.54 cm
Therefore,
60 in = 60 in × 2.54 cm / 1 in
60 in = 152.4 cm
Finally, we shall determine the maximum number of boxes the ware house worker can stack.
Total height = 152.4 cm
Height of 1 box = 20 cm
Number of box =?
Number of box = total height / height of 1 box
Number of box = 152.4 / 20
Number of box = 7
Therefore, the warehouse worker can only stack a maximum of 7 boxes
find the area the triangle 18m high 5mm base
Answer:
18 *0.5*5=45
Step-by-step explanation:
Area of triangle is: 0.5 * base * height
please help me !!! What's 10.8 / 6 = ? Estimate: 10.8 / 6 =
Answer:
10.8 / 6 = 1.8
Answer:
1.8
Step-by-step explanation:
10.8/6=10.8/6×10/10=108/6=1.8
2x - 2/2x - 3x + 2/4x
Answer: Solution
−
2
+
2
−
2
x
+
x
2
−2x+2x
Step-by-step explanation: Divide the numbers
2
−
1
⋅
2
2
⋅
−
3
+
2
4
⋅
2
x
Multiply the numbers
2
−
1
⋅
1
−
3
+
2
4
⋅
2
x
−
1
⋅
1
x
−
3
x
+
2
4
⋅
x
2x−1⋅1x−3x+42⋅x
2
−
−
3
+
2
4
⋅
−
1
⋅
2
2
⋅
x
−
3
x
+
2
4
⋅
x
2x−1⋅22⋅x−3x+42⋅x
2
−
1
⋅
1
−
3
+
2
4
⋅
2
x
−
1
⋅
1
x
−
3
x
+
2
4
⋅
x
2x−1⋅1x−3x+42⋅x
Divide the numbers
2
−
−
3
+
2
4
⋅
2
x
−
x
−
3
x
+
2
4
⋅
x
2x−x−3x+42⋅x
2
−
−
3
+
1
2
2
x
−
x
−
3
x
+
1
2
x
2x−x−3x+21x
find the general solution to "+′−6=3^2
Answer:
answer is -6=9
Step-by-step explanation:
I’m lost, my deadline in 7 days and I’m virtually brain dead, anyone know dis
Answer:
[tex]x=\frac{3+-\sqrt{13}}{2}[/tex]
Step-by-step explanation:
Kevin needs 2/3 of a yard to make a pillow. he has 3 1/3 yards of fabric. How many pillows can he make?
Answer:
He can make 5 pillows.
Step-by-step explanation:
1 pillow = 2/3 yards
? = 3 1/3 yards ( 10/3 yards)
10/3 ÷ 2/3
10/3 × 3/2= 5 pillows.
Scientists studying a bacteria sample find that after starting with 120 cells, the number of cells doubles every hour.
Which of the following equations is a function that will predict C(h), the number of cells after h hours have passed?
Answer:
[tex]C(h)=120*2^h[/tex]
Step-by-step explanation:
[tex]C(h)=120*2^h[/tex]
Doubling needs a base of 2, and the original number will need to be multiplied by two.
I don't know how to explain so I'm going to just give an example.
After an hour the original number doubles so 120*2
After two hours: 120*2*2
After 3 hours: 120*2*2*2
2*2 can also be written as [tex]2^2[/tex]
and 2*2*2 can be written as [tex]2^3[/tex]
So the number of hours passed is the exponent, and the base is 2 because the original number is being doubled.
how do I solve this please help!
Answer:
9 x + 8 y = 10 (I)
y = -4x + 7 (II)
One way is to rewrite the second as
4x + y = 7
Now multiply this equation by 8
32 x + 8 y = 56
9 x + 8 y = 10 and now subtract the equations
23 x = 46 this gives x as 2
From equation (II) y = -4 (2) + 7 = -1
So our values are (2, -1)
Check:
(I) 9 x + 8 y = 10 9 * 2 - 8 = 10
(II) 4 x + y = 7 or 4 * 2 - 1 = 7
Or you can substitute equation (II) directly into equation (I)
Please I need help!!!!
Answer:
y=1/4x-1
Step-by-step explanation:
So lets start off by going over what slope intecerp form is.
Slope intercept form looks like this:
y=mx+b
Lets go over the different values in this formula:
y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.
m is always teh slope. The slope is y/x, basically just the change in y over the change in x.
x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.
Lastly we have b. This is what y equals when x is 0.
Lets use this to make our slope intercept.
So we have:
y=mx+b
y and x are not going to have a written value, so we only need to determine m and b.
So lets find b.
B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)
The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).
So b will be: -1/-4, or just 1/4:
y=1/4x+b
Now lets find b.
Lets specificly lookat what y equals when x is 0 on the graph.
We can see the point is (0, -1)
So the y intercept is -1. This means b is equal to -1:
y=1/4x-1
This is your slope intercept!
Hope this helps! :D
Sorry for bad grammar, I am writting on a strange keyboard.
What is the initial value of the function represented by this graph? (1 point) A coordinate grid is shown with x- and y-axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 5 with the ordered pair 7, 7. 0 4 5 7
Answer:
7
Step-by-step explanation:
got it right on the test
What values of b satisfy 3(2b + 3)2 = 36?
_5) How does the “x + 1" affect the graph in the equation: y = } • (4)*+1 – 37
A) Left 1
B) Right 1
C) Up 1
D) Down 1
Answer:
immma send you the link friend me on here Step-by-step explanation:
What is the domain of the function {(-3, 4), (-1,3), (0, 4), (3, 6)}?
Answer:
Domain: {-3, -1, 0, 3}
Step-by-step explanation:
{(-3, 4), (-1,3), (0, 4), (3, 6)}
Domain is just the x values so:
Domain: {-3, -1, 0, 3}
:) Find the surface area and volume of the cylinder below:
5 m
22 m
Surface Area:
m?
Volume:
m
Answer: 1727.9
Step-by-step explanation:
Volume = πr2h
= π×52×22
= 550π
= 1727.8759594744 feet3
5 dividido en 1.35.
Answer:
3.7
Step-by-step explanation:
write a rational function that has a vertical asymptote of x=5 and a horizontal asymptote of y=0
Answer:
[tex]y = \frac{1}{x - 5} [/tex]
HELPPPPP PLEASE!!! I need to knowwww
Answer:
$25 is the hourly rate
Step-by-step explanation:
What is the domain of the function on the graph?