3 years ago

What is the answer i need help

Mathematics

1 answer:

erica [24]3 years ago

4 0

Answer:

$924.28

Step-by-step explanation:

Hope this is right!!

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What is 17- 6 11/12.

Naddika [18.5K]

Answer:

10 1/12

Step-by-step explanation:

17-6 is 11

11-11/12=

10 1/12

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4 years ago

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

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

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3 years ago

What is the measure of A and what is the measure of B

Lady bird [3.3K]

5y - 3 = 3y + 27
2y = 30
y = 15

m<A= 5(15) - 3 = 75 - 3 = 72

m<B = [360 - 2(72)]/2
m<B = [360 - 144] / 2
m<B = 216 / 2
m<B = 108

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3 years ago

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How many dots are in the 5th step?

zaharov [31]

Answer:

add 5 + 4, which is 9 and that's 81 dots

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3 years ago

Enter the number that belongs in the green box.

vivado [14]

6x-7=4x+7
6x=4x+14
2x=14
x=7

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3 years ago

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