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AnnZ [28]
3 years ago
13

16. A British television program shows homesthat are for sale. One home is listed ascosting 500,000 pounds, or $850,000. Therati

o of pounds to dollars used in this TVprogram can be written in the form "1 poundx dollars." What is the value of x? Expressyour answer as a decimal to the nearest tenth.

Mathematics
1 answer:
gregori [183]3 years ago
6 0
X = $1.7
850,000/500,000
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a famer has 120 feet of fencing with whcih to enclose two adjacent rectangular pens as shown. what dimeensions should be used th
Nat2105 [25]

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Let the area be y .

Area = (base) × (height)

Base = 2x

Height = h

Let the area of the rectangular pens be y .

∴ y = 2xh

Perimeter of all the fencing = 4x+3h

∴ 4x+3h = 120

now we solve for h

3h = 120-4x

h = 40 - 4/3 x

Now we will substitute this value in the above first equation:

y = 2xh

or, y = 2x (40 - 4/3 x)

or, y = 80x - 8/3 x²

Now for the maximum area we have to find the first order differentiation of y

now,

dy /dx = 80 - 16/3 x

At dy/dx = 0 we get the value of x for which y is maximum.

80 - 16/3 x = 0

or, - 16/3 x = -80

or, x = 15 feet

Hence height =  40 - 4/3 x = 40 - 20 = 20feet

Maximum area = 2xh = 2×15×40 = 1200 square feet

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Disclaimer : The missing figure for the question is attached below.

To learn more about area visit:

brainly.com/question/27531272

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6 0
1 year ago
\log_{4} x + \log_{4} (x+5) = 6
irina1246 [14]
       log(4)x + log(4)(x + 5) = 6
log(4)x + log(4)x + log(20) = 6
               log(8)x + log(20) = 6
               <u>            - log(20)  - log(20)</u>
                              <u>log(8)x</u> = <u>6 - log(20)</u>
                               log(8)         log(8)
                                       x ≈ 0.999
8 0
3 years ago
1/2-3/16 hurry pls cause I really need it don’t judge me
damaskus [11]
The answer is 2/16 if you do the math with the numerators only.
7 0
2 years ago
Simplify. (3x^-2 y^4)^-3​
MA_775_DIABLO [31]

Answer:

x^6/27y^12

hope this helps.

5 0
3 years ago
-12.48 -(-2.99)-5.62
KATRIN_1 [288]

Answer:

-15.11

Step-by-step explanation:

-12.48-(-2.99)-5.62=\\-12.48+2.99-5.62=\\-9.49-5.62=\\-15.11

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3 years ago
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