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3 years ago

Scientists found that the body of a male consists of 3.58×10^-4 lbs of zinc. What is the number written in standard notation?

Mathematics

1 answer:

notka56 [123]3 years ago

4 0

Answer:

The number is 0.000358 lbs.

Step-by-step explanation:

Scientists found that the body of a male consists of $3.58 \times 10^{-4}$ lbs of zinc.

This is a scientific way of writing a number.

For, example 0.0023, a number in normal or standard notation can be scientifically written as $2.3 \times 10^{- 3}$ .

So, in our case, the number is $3.58 \times 10^{-4}$ lbs and we have to write this number in standard notation.

Then the number is 0.000358 lbs. (Answer)

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3 years ago

A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t

solmaris [256]

Answer:

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Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by

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$\frac{d(V(x))}{dx} = \frac{d(4x^3-12x^2+9x)}{dx} = 12x^2 - 180x +450$

Equating the first derivative to zero, we get,

$\frac{d(V(x))}{dx} = 0\\\\12x^2 - 180x +450 = 0$

Solving, with the help of quadratic formula, we get,

$x = \displaystyle\frac{5(3+\sqrt{3})}{2}, \frac{5(3-\sqrt{3})}{2}$ ,

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$\frac{d^2(V(x))}{dx^2} = 24x - 180$

At x =

$\displaystyle\frac{5(3-\sqrt{3})}{2}$ ,

$\frac{d^2(V(x))}{dx^2} < 0$

Thus, by double derivative test, the maxima occurs at

x = $\displaystyle\frac{5(3-\sqrt{3})}{2}$ for V(x).

Thus, largest volume the box can have occurs when $x = \displaystyle\frac{5(3-\sqrt{3})}{2}}$ .

Maximum volume =

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miss Akunina [59]

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3 years ago