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Lelechka [254]
3 years ago
9

13x^-5 y^0/5^-3 z^-10

Mathematics
1 answer:
VMariaS [17]3 years ago
7 0

Answer:

\frac{1625z^{10}}{x^{5}}

Step-by-step explanation:

We want to simplify:

\frac{13x^{-5}y^0}{5^{-3}z^{-10}}

We rewrite as positive index to get:

\frac{13y^05^{3}z^{10}}{x^{5}}

This simplifies to

\frac{13*1*125z^{10}}{x^{5}}

This will finally give us:

\frac{1625z^{10}}{x^{5}}

We cannot simplify further.

Hence the simplest form is \frac{1625z^{10}}{x^{5}}

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The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in h
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Answer:

Step-by-step explanation:

I really hope you know how to use your calculator to find regression equations, because in this forum it is impossible to teach you how to do that. I ran the data through my calculator and got the exponential equation as

y=1963.56(1.14)^x which means at 4 hours, we started with 1963 bacteria and it is growing at a rate of 114% each hour. Since we started out with an x value of 0, and that value represents the number of bacteria after 4 hours, then time 0 is 4 hours, which means that time 12 is 16 hours. We replace the x in the equation with a 12 and do the math:

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3 years ago
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3 years ago
What is the simplified form of the expression? (b/7)^2
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8 0
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A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides is to be made of material t
sergeinik [125]

The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft

<h3>How to maximize area?</h3>

Let the length of the rectangular area be x feet

Let the width of the area = y feet

Area of the rectangle = xy square feet

Or xy = 320 square feet

y = 320/x  -----(1)

Cost to fence the three sides = $6 per foot

Therefore cost to fence one length and two width of the rectangular area

= 6(x + 2y)

Similarly cost to fence the fourth side = $13 per foot

So, the cost of the remaining length = 13x

Total cost to fence = 6(x + 2y) + 13x

Cost (C) = 6(x + 2y) + 13x

C = 6x + 12y + 13x

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From equation (1),

C = 19x + 12(320/x)

C' = 19 - 3840/x²

At C' = 0, we have;

19 - 3840/x² = 0

19 = 3840/x²

19x² = 3840

x² = 3840/19

x = √(3840/19)

x = 14.22 ft

y = 320/14.22

y = 22.5 ft

Read more about Maximization of Area at; brainly.com/question/13869651

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(21-4i)-(16-7i)+28i in standard form
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Your answer in standard form would be 5+31i
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