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Damm [24]
3 years ago
15

What is the difference between 6z and z⁶?

Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0

Answer:

The difference between 6z and z^6 is that 6z is multiplying 6 and z while z^6 is z times z times z times z times z times z

Step-by-step explanation:

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Professor Williams wrote some statements on the board: 1. Newton observed an apple falling off a tree and speculated that all th
romanna [79]
I THINK ITS A THEORY HOPE THIS HELPS ;}
8 0
3 years ago
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* Let S = Span {(2,-1, 1), (3, 1, 1), (1, 2, 0)}. (i) Calculate the dimension of S.
Sholpan [36]

The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.

Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars c_1,c_2,c_3 (not all zero) such that

c_1 (2,-1,1) + c_2 (3,1,1) + c_3 (1,2,0) = (0,0,0)

which leads to the system of linear equations,

\begin{cases} 2c_1 + 3c_2 + c_3 = 0 \\ -c_1 + c_2 + 2c_3 = 0 \\ c_1 + c_2 = 0 \end{cases}

From the third equation, we have c_1=-c_2, and substituting this into the second equation gives

-c_1 + c_2 + 2c_3 = 2c_2 + 2c_3 = 0 \implies c_2 + c_3 = 0 \implies c_2 = -c_3

and in turn, c_1=c_3. Substituting these into the first equation gives

2c_1 + 3c_2 + c_3 = 2c_3 - 3c_3 + c_3 = 0 \implies 0=0

which tells us that any value of c_3 will work. If c_3 = t, then c_1=t and c_2 = -t. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.

Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.

3 0
1 year ago
Quinian pays $178 every 4 months for his guitar lessons.At this rate,how much will Quinian pay for 3 years of guitar lessons?(1y
Oxana [17]
12 months =2136
2136×3=6408
6 0
3 years ago
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Simplify this number: <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B%5Csqrt%5B3%5D%7B3%7D%20%7D" id="TexFormula1" title="\f
satela [25.4K]

Answer: 3 \frac{2}{3}

Follow the radical rule:

\sqrt[n]{a} = a \frac{1}{n}

We get the number \frac{3}{3\frac{1}{3} }

Follow the exponent rule:

\frac{x^{a} }{x^{b} } = x^{a - b}

We get the number 3^{1}  - \frac{1}{3}.

Now, subtract.

3 - \frac{1}{3} = \frac{2}{3}

The answer is 3 2/3

5 0
2 years ago
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What is the value of x? <br><br> Enter your answer in the box.<br><br> __mm
VashaNatasha [74]
You can set up a ratio as follows:
\frac{x-22}{87.5}= \frac{22}{77}

Solve for x by cross-multiplying:
(x-22)(77) = (87.5)(22)
x = \frac{(87.5)(22)}{77} + 22= 47.01

Since we need the answer in mm and right now we have it in feet, we need a conversion ratio. After googling it, the conversion ratio is: 1ft = 304.8mm
47.01(304.8) = 14326.64

So, the answer is 14326.64 mm.

6 0
3 years ago
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