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vazorg [7]
3 years ago
7

Just the last two ones please and thank you if you awnsered this

Mathematics
1 answer:
Rudik [331]3 years ago
8 0
Number 1 is twenty and number two is fifty six
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Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cu
Alecsey [184]

Answer:

) See annex

b) See annex

x  =  0,5 ft

y =  2 ft   and

V = 2 ft³

Step-by-step explanation:  See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x   ⇒ V = (3-2x)²*x    

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Taking derivatives

V¨(x) = 9 + 12x² - 24x

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Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get    x₁  =  1,5       and    x₂ =  0,5

We look at y = 3 - 2x    and see that the value x₂ is the only valid root

then

x  =  0,5 ft

y =    2 ft   and

V = 0,5*2*2

V = 2 ft³

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\frac{3}{5} :11=  \frac{3}{5} : \frac{11}{1} = \frac{3}{5} * \frac{1}{11} = \frac{3}{55}
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