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Mice21 [21]
3 years ago
15

Please help! I need this asap! If you know the answer please help. If you don't thats ok. Just move on. If you have any question

s comment, dont answer the question. Thank you!!

Mathematics
1 answer:
romanna [79]3 years ago
3 0

x=12 perimeter=58

There's a step by step in the pictures, I thought it might be easier

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A rectangular box is to have a square base and a volume of 72 ft3. If the material for the base costs $0.62/ft2, the material fo
Igoryamba

Answer:

a. length  = 0.7211 ft

b. width  = 0.7211 ft

c. height = 140.3846 ft

Step-by-step explanation:

This is an optimiztion with restriction problem.

We have to minimize the cost, with the restriction of the volume being equal to 72 ft3.

As the cost for the sides is constant, we know that length and width are equal.

Then, we can express the volume as:

V=x\cdot y\cdot z=x^2z=73

being x: length and z: height

We can express the height in function of the length as:

x^2z=73\\\\z=73x^{-2}

Then, the cost of the box can be expressed as:

C=0.62(x^2)+4*0.15(xz)+0.18(x^2)=(0.62+0.18)x^2+0.60xz\\\\C=0.8x^2+0.60x*x^{-2}=0.8x^2+0.6x^{-1}

To optimize C, we derive and equal to zero

\dfrac{dC}{dx}=\dfrac{d}{dx}[0.8x^2+0.6x^{-1}]=1.6x-0.6x^{-2}=0\\\\\\1.6x=0.6x^{-2}\\\\x^{1+2}=0.6/1.6=0.375\\\\x=\sqrt[3]{0.375} =0.7211

The height z is then

z=73x^{-2}=\dfrac{73}{0.7211^2}=\dfrac{73}{0.52}=140.3846

6 0
3 years ago
What is the product of x2 - 2x +3 and x+1?
Leno4ka [110]
The answer would be 3, 2-2+3, I’m pretty sure.
5 0
3 years ago
Write Equivalent Fractions
Viktor [21]

Answer:

Step-by-step explanation:

Find equivalent fractions. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. Example entries:

Fraction - like 2/3 or 15/16

Mixed number - like 1 1/2 or 4 5/6

Integer - like 5 or 28

What are Equivalent Fractions?

Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same.

For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100

How to Find Equivalent Fractions

Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won't change the value of the fraction, and you'll create an equivalent fraction.

Example Equivalent Fractions

Find fractions equivalent to 3/4 by multiplying the numerator and denominator by the same whole number:

34×22=68

34×33=912

34×44=1216

34×55=1520

34×66=1824

Therefore these are all equivalent fractions:

34=68=912=1520=1824

Note that if you reduce all of these fractions to lowest terms, they equal 3/4.

For additional fraction help see our Fractions Cal

3 0
3 years ago
T.<br> G<br> 1.6 cm<br> 6 cm<br> 6 cm<br><br> -<br> Find volume
disa [49]

Answer:

57.6......

Step-by-step explanation:

v=lxbxh...........

5 0
3 years ago
Help me solve this. please
navik [9.2K]

Answer:

B, 6

Step-by-step explanation:

In the equation (x - c)² + (y - d)² = r², (c, d) is the center and r is the radius. In this case, c = -2, d = 7 and r = 6 so the center is (-2, 7) and the radius is 6.

5 0
3 years ago
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