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Kobotan [32]
4 years ago
12

What's the answer to this problem

Mathematics
1 answer:
dsp734 years ago
3 0

-5/4 =-1.25

-14/25 = -0.56

-13/8 = -1.625

Runner D finished 2nd it is the smallest number

 Runner B was 5th

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If we know that 1 lb of peaches is 0.80 cents
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Can you please help me​
stepan [7]

Answer:

Pencil

Step-by-step explanation:

The perimeter is all the sides added up. Therefore, the answer would be the smallest object, being the pencil.

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I spent $25 on my grocery delivery service yesterday. It usually costs me $1.20 per mile to drive to the store and I live 8 mile
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The Ruiz family is saving to buy a new house. They have $5,000 to start a new savings account that has an interest
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This answer is (B) $5262.

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3 years ago
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A 160-inch strip of metal 20 inches wide is to be made into a small open trough by bending up two sides on the long side, at rig
babymother [125]

Answer:

The value of double derivative at x=4.834 is negative, therefore the trough have a maximum volume at x=4.834 inches.

Step-by-step explanation:

The dimensions of given metal strip are

Length = 160 inch

Width = 20 inch

Let the side bend x inch from each sides to make a open box.

Dimensions of the box are

Length = 160-2x inch

Breadth = 20-2x inch

Height = x inch

The volume of a cuboid is

V=length\times breadth \times height

Volume of box is

V(x)=(160-2x)\times (20-2x)\times x

V(x)=(160-2x)(20-2x)x

V(x)=4 x^3 - 360 x^2 + 3200 x

Differentiate with respect to x.

V'(x)=12x^2 - 720 x + 3200

Equate V'(x)=0, to find the critical points.

0=12x^2 - 720 x + 3200

Using quadratic formula,

x=30\pm 10\sqrt{\frac{\left(19\right)}{3}}

The critical values are

x_1=30+10\sqrt{\frac{\left(19\right)}{3}}\approx 55.166

x_2=30-10\sqrt{\frac{\left(19\right)}{3}}\approx 4.834

Differentiate V'(x) with respect to x.

V'(x)=24x - 720

The value of double derivative at critical points are

V'(55.166)=24(55.166) - 720=603.984

V'(4.834)=24(4.834) - 720=-603.984

Since the value of double derivative at x=4.834 is negative, therefore the trough have a maximum volume at x=4.834 inches.

8 0
3 years ago
Read 2 more answers
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