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murzikaleks [220]
3 years ago
8

4 to the power of -3 as fraction

Mathematics
2 answers:
bogdanovich [222]3 years ago
6 0

Answer:

\frac{1}{64}

Step-by-step explanation:

4^{-3} = 0.015625

0.015625 = \frac{1}{64}

shusha [124]3 years ago
4 0

Answer:

Step-by-step explanation:

4^-3

=1/4^3

=1/64

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Riaz wants to use the number sentence shown to solve a problem.
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Five and one half of 2 and one third is what number?
labwork [276]

Given:

Five and one half of 2 and one third.

To find:

The number for the given statement.

Solution:

Five and one half = 5\dfrac{1}{2}

2 and one third = 2\dfrac{1}{3}

The given statement is five and one half of 2 and one third.

Here, the word "of" is used for multiplication.

So, the expression for the given statement is:

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8 0
2 years ago
A rectangular field is to be enclosed by a fence and divided
Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0
3 years ago
What is the slope of the line y = 5x? Just write the<br> number for your answer.
vitfil [10]

Answer:

5

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

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  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

y = 5x

<u>Step 2: Break Function</u>

<em>Identify Parts</em>

Slope <em>m</em> = 5

y-intercept <em>b</em> = 0

5 0
3 years ago
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