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iragen [17]
3 years ago
15

Simplify the expression (4i)(2i)(-9i)

Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

Step-by-step explanation:

(4i)*(2i)*(-9i) = 4*2*(-9) * i³           { i³ = -i}

                    = -72 *(-i)          

                   = 72i

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Micheal wants to buy 12 pens but he is short of $8.40. If he buys 9 pens, he will have $29.40 left. How much money does he have?
trapecia [35]
All you have to do is subtract the biggest numbers i the problems.
6 0
3 years ago
the direction angle for vectors 135° the X component of the vector is -3 what is the Ywhat is what what is the Y component of th
blagie [28]
Well, the X component (assuming x is the horizontal) is equal to RCosZ

Where Z is the angle and R is the size of the resultant

Substitute into formula :

X component = RcosZ
-3 = Rcos135°
R = -3/cos135°
R = 4.24264...
R = 4.24 (2dp)

The vertical component (or Y component) is equal to RSinZ

Vertical component = RSinZ
= 4.24264... × Sin135°
= 3

The answer is 3

Please feel free to ask any questions you have
3 0
3 years ago
At what value of x does the graph of the following function F(x) have a
tankabanditka [31]

Given:

The function is

F(x)=\dfrac{1}{x+2}

To find:

The vertical asymptote of the given function.

Solution:

Vertical asymptote are the vertical line passes thought the values for which the function is not defined.

To find the vertical asymptote, equate the denominator equal to 0.

We have,

F(x)=\dfrac{1}{x+2}

Denominator is (x+2).

x+2=0

x=-2

The vertical asymptote is x=-2.

Therefore, the correct option is B.

8 0
3 years ago
Read 2 more answers
What property does the statement show? (4x8)x3=(8x4)x3
8090 [49]
Why not? Because every math system you've ever worked with has obeyed these properties! You have never dealt with a system where a×b did not in fact equal b×a, for instance, or where (a×b)×c did not equal a×(b×c). Which is why the properties probably seem somewhat pointless to you. Don't worry about their "relevance" for now; just make sure you can keep the properties straight so you can pass the next test. The lesson below explains how I kept track of the properties.
6 0
3 years ago
Find a parametric representation for the part of the cylinder y2 + z2 = 49 that lies between the planes x = 0 and x = 1. x = u y
sweet-ann [11.9K]

Answer:

The equation for z for the parametric representation is  z = 7 \sin (v) and the interval for u is 0\le u\le 1.

Step-by-step explanation:

You have the full question but due lack of spacing it looks incomplete, thus the full question with spacing is:

Find a parametric representation for the part of the cylinder y^2+z^2 = 49, that lies between the places x = 0 and x = 1.

x=u\\ y= 7 \cos(v)\\z=? \\ 0\le v\le 2\pi \\ ?\le u\le ?

Thus the goal of the exercise is to complete the parameterization and find the equation for z and complete the interval for u

Interval for u

Since x goes from 0 to 1, and if x = u, we can write the interval as

0\le u\le 1

Equation for z.

Replacing the given equation for the parameterization y = 7 \cos(v) on the given equation for the cylinder give us

(7 \cos(v))^2 +z^2 = 49 \\ 49 \cos^2 (v)+z^2 = 49

Solving for z, by moving 49 \cos^2 (v) to the other side

z^2 = 49-49 \cos^2 (v)

Factoring

z^2 = 49(1- \cos^2 (v))

So then we can apply Pythagorean Theorem:

\sin^2(v)+\cos^2(v) =1

And solving for sine from the theorem.

\sin^2(v) = 1-\cos^2(v)

Thus replacing on the exercise we get

z^2 = 49\sin^2 (v)

So we can take the square root of both sides and we get

z = 7 \sin (v)

4 0
3 years ago
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