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liberstina [14]
3 years ago
9

Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0
\sqrt{x} * 4\sqrt{x} \\4\sqrt{x * x} \\4\sqrt{x^{2}} \\4x
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A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $
alexira [117]

Answer:1.627\times 1.627\times 1.88\ ft^3

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume V=l^2\cdot h

h=\frac{V}{l^2}

volume V=5 ft^3

Area of side wall is A_s=l^2

Area of top Wall A_t=l\times h

Area of bottom A_b=l\times h

Cost of bottom wall c_b=20\times l\times h=20lh

Cost of top wall c_t=50\times l\times h=50lh

Cost of side walls c_s=4\times l^2\times 10=40l^2

total cost C=c_s+c_t+c_b=20lh+50lh+40l^2

C=70lh+40l^2

C=70\times l\times \frac{5}{l^2}+40l^2

differentiate C w.r.t l to get minima or maxima

\frac{\mathrm{d} C}{\mathrm{d} l}=0

-\frac{350}{l}+80l^2=0

l^3=\frac{350}{80}

l=1.627 ft

h=\frac{5}{2.648}

h=1.88 ft

Dimension of Box is 1.627\times 1.627\times 1.88\ ft^3

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3 years ago
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marissa [1.9K]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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There are 4 sports stores,9 clothing stores and 6 jewelry stores ina shopping crnter which ratio compares the number of sports s
Pani-rosa [81]

The ratio is  2 : 9

Step-by-step explanation:

Given:

The number of sports store = 4

The number of clothing store  = 9

The number of jewellery stores = 5

To Find :

The ratio of number of sports stores to the total number of stores

Solution:

The ratio of number of sports stores to the total number of stores

= \frac{\text{number of sports store}}{\text{ Total number of stores}}

The total number of stores =  number of sports store + number of clothing store + number of jewellery store

The total number of stores = 4 + 9 + 5

The total number of stores = 18

Now the ratio is

= \frac{4}{18}   or 4  :  8

The ratio after reduction is

=\frac{2}{9} or 2 : 9  or   2 to 9

7 0
3 years ago
answer plsss answer plss
nignag [31]

Answer:

b 2,3,8

Step-by-step explanation:

Y=234678

Z=278910

X=12358

234678910 n 12358

=238

8 0
2 years ago
Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you
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