Which of the following statements is INCORRECT?

please help me this assignment is overdue

So, its more like this:

Using the polar form, a complex number with modulus r and argument θ may be written

z = r(cos 0 + j sin θ)

It follows immediately from Euler’s relations that we can also write this complex number in

exponential form as :

z = [tex]re^{j0}[/tex]

When using this form you should ensure that all angles are measured in radians and not degrees.

The exponential form of a complex number is in widespread use in engineering and science. Since z = r(cosθ + isinθ) and since eiθ = cosθ + isinθ we therefore obtain another way in which to denote a complex number: z = reiθ, called the exponential form.

I'm leaning towards the answer choices A. and C.

But I'm sure it's A because of the two, C has an x. That's the only difference they have.

Here's another example,

Let z=x+iy, its exponential form comes from identifying it as the point (x,y) in the (Argand) plane. This basically amounts to writing it in what would be polar form in the real plane. Writing it as:

z =reiθ

. If you graph the point (x,y) and treat it as a vector its easy to see that r=|z| and θ=tan−1(yx).

For purely real numbers, they are already in exponential form since they are equal to their modulus and θ=0.

Also, you can write:

Re(z)=z+z¯2

if you want to write it purely in terms of z. Both of your numbers are purely real and thus they are already in exponential form. I suppose if you wanted to be strict about it you could write it as:

|1−z|=|1−z|e0i

Answer:

area=(a+b)*h/2

63cm^3=(6+12)*x/2

63 cm^2=18x/2

63*2=18x

126/18=x

7=x

therefore x=7 cm

Step-by-step explanation:

Answer:

5 10 16 17 18

Step-by-step explanation:

Using the box plot above, the 5 number summary is this :

Minimum = value at the starting point of the left whisker = 5

Lower quartile = value at the start point of the box = 10

Median = value marked in between the box = 16

Upper quartile = value at the end point of the box = 17

Maximum = value at the endpoint of the whisker = 18

Answer:

$983.45

Step-by-step explanation:

Given data

Principal= $700

Rate= 1.2%

Time= 3 years

The compound interest expression is given as

A= P(1+r)^t

A= 700(1+0.12)^3

A= 700(1.12)^3

A= 700*1.404928

A=$983.45

Hence the balance will be $983.45

Answer:

The answer would be an obtuse triangle.

Step-by-step explanation:

The scraps of material would make more of a lopsided shape, and if you draw it out as i have, an obtuse triangle will form.

Answer:

Its 21+84

Step-by-step explanation:

Answer:

tan A = 20/21

Step-by-step explanation:

tan Θ = opp/adj

tan A = 20/21

Answer:

16

Step-by-step explanation:

4 x 4 = 16

Answer:

You should stick with option D

Answer:

see below

Step-by-step explanation:  5  26  9  17

cylinder with a radius of 7cm and a height of 10 cm

find the value of each flower pot and divided it into 24000 cm³

flower pot = π r² h   =  π × 7² × 10   =  π490    =  1539.38 cm³

24000 cm³ / 1539.38 cm³  =  15.59  flower pots

so Carl could only FILL 15 flower pots

Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil. So, Carl could only fill 15 flower pots.

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The cylinder with a radius of 7cm and a height of 10 cm.

The flower pot = π r² h  

[tex]= \pi \times 7^2 \times h\\ = 490 \pi \\ = 1539.38 cm^3[/tex]

= 24000 cm³ / 1539.38 cm³  

=  15.59  flower pots

So, Carl could only fill 15 flower pots.

Learn more about the volume of the cylinder here:

https://brainly.com/question/12763699

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Answer:

2/3

(-4, 2) and (-16, -6)

slope = m = (y2 - y1) / (x2 - x1) = (-6 - 2) / (-16 - -4) = -8 / -12 = 2 / 3 = 0.667

I hope you got it right :)

Answer: B

Step-by-step explanation: Ez

Answer:

D. 1.95 units clockwise

Step-by-step explanation:

I calculated it logically

Answer:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

C

Step-by-step explanation:

Here's the easy way. There are 3 equations. One of the equations uses y=1. So it must be C.

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

174 15/16 lbs or 2799/16 lbs

Step-by-step explanation:

to find the difference of the weight of the winning fish and the avg fish, I'm assuming you just need to subtract the values from each other.

so first I'm just gonna convert the mixed numbers into improper fractions because its easier to do math that way (for me).

342 5/16 = 5477/16 winning fish

167 3/8 = 1339/8 avg fish

now I need to find the difference between them so I'll just subtract the smaller number from the bigger number.

5577/16 - 1339/8 = difference

but wait oh no, they don't have the same denominator, so I'll multiply the 1339/8 by 2/2 so that I get a number over 16.

5577/16 - 2678/16 = difference

2799/16 lbs or 174 15/16 lbs (if you want to convert it into a nice mixed number)

The solution of system of equations is (5, 10)

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=2x ...(1)

y=x+5...(2)

Let us plug in equation 2 in equation 1

x+5=2x

Subtract x from both sides

x=5

Now plug in x value in equation 1

y=2×5

y=10

Hence, the solution of system of equations is (5, 10)

To learn more on Equation:

https://brainly.com/question/10413253

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Answer:

The host can only prepare 7 plates

Step-by-step explanation:

7 plates, each will contain 1 slice of cherry pie and 2 slices of pumpkin pie. (14/7 = 2)

Answer:2,500

Step-by-step explanation:

I'm guessing it is exponential, which means the balance increases by more over time, so the equation would be

500(1+0.002)^2=520.2002

or rounded to 502

Answer:

I don't know I'm sorry.............

Answer:

5/31

Step-by-step explanation:

there are 31 days in January 5 of those are prefect squares (1,4,9,16,25)

Answer:

[tex]\frac{6400\pi}{3}\approx 6702.06\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex].

In this specific cone, the entire height of the cone is not given. However, we do see that it is broken up into two separate cones. Since one cone is inside/part of the other, these cones must be similar. Therefore, we can set up the following proportion to find the height of the smaller cone.

Let [tex]h_s[/tex] be the height of the small cone:

[tex]\frac{5}{h_s}=\frac{20}{12+h_s},\\\\20h_s=5(12+h_s),\\\\20h_s=60+5h_s,\\\\15h_s=60,\\\\h_s=4[/tex]

Therefore, the height of the largest cone is [tex]12+4=16[/tex]. Now we have all necessary information to find the volume of the cone:

[tex]V=\frac{1}{3}\cdot 16\cdot 20^2\cdot \pi =\frac{6400\pi}{3}\approx \boxed{6702.06\:\mathrm{cm^3}}[/tex]

9514 1404 393

Answer:

  (x, y) = (61/23, 36/23)

Step-by-step explanation:

We assume you intend the equations to be ...

Then in general form, they are ...

  5x -4y -7 = 0

  2x +3y -10 = 0

The solution using the "cross multiplication method" is ...

  1/(15 +8) = x/(40+21) = y/(-14 +50)

  (x, y) = (61/23, 36/23)

_____

Comment on "cross multiplication method"

When the coefficients from the general form equations are written as a 2×4 array with the first and last columns the same ...

  [tex]\left\{\begin{array}{cccc}5&-4&-7&5\\2&3&-10&2\end{array}\right\}[/tex]

the solution is 1/d1 = x/d2 = y/d3, where d1, d2, d3 are the determinants of successive pairs of columns.

Answer:

$10.50

Step-by-step explanation:

$39.90 ÷ 3.8 pounds

= 10.50263157894735

after rounding, your answer must be 10.50

hope this helps.

Answer:

v = (1/48)π

Step-by-step explanation:

v = (4/3)πr³

v = (4/3)π(1/4)³

v = (4/3)(1/64)π

v = (1/3)(1/16)π

v = (1/48)π

Answer:

the answer is A. 14

Step-by-step explanation: