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oksano4ka [1.4K]
3 years ago
13

Correct answers only please!

Mathematics
1 answer:
DENIUS [597]3 years ago
8 0

Answer:  D) 43.1

<u>Step-by-step explanation:</u>

\dfrac{\text{Volume of box }}{ \text{ number of apples}}\\\\\\\dfrac{20\ in\times 13\ in\times 12\ in}{72\ apples}=43.3\ in^3\ per\ apple\\\\\\\dfrac{12\ in\times 12\ in\times 12\ in}{40\ apples}=43.2\ in^3\ per\ apple\\\\\\\\\dfrac{20\ in\times 10\ in\times 6\ in}{28\ apples}=42.9\ in^3\ per\ apple

Now find the average:

\dfrac{43.3+43.2+42.9}{3}\quad =43.1

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Archimedes was asked by his king to figure out a way of telling if people were giving him fake gold objects. That was when Archi
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Answer:

See explanation below

Step-by-step explanation:

Archimedes was able o obtain the actual volume of the supposedly gold made object by collecting the water displaced by the object as it was sunk on a bowl filled with water to the rim. Then knowing the volume displaced and therefore the volume of the object, he could find the object's density (mass over volume). The mass he could get just by weighting the object. and compare that with the density of any other object made of real gold (like for example a coin) and see if the quotient was the same. The density of both objects should be the same if they are made of the same material.

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3 years ago
If an ipod was 40% off and the original price was $129 how much was the amount of the dicount?
Drupady [299]

Answer:

77.4 el valor del ipod con el 40% de descuento  

vStep-by-step explanion

40%/  100%= 0.4

0.4x129=  51.6( la cantidad que nos van a descontar)

129-51.6=77 .4 es el valor del ipod con el 40% de descuento

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2 years ago
Solve the equation `x^{4}+13x^{2}+36=0` for all values of `x`.
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Step-by-step explanation:

Let's solve your equation step-by-step.

x4+13x2+36=0

Step 1: Factor left side of equation.

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Step 2: Set factors equal to 0.

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3 years ago
Herbert was given a pocket watch bass grandfather. The value of the watch, for any given year, t, from the time Herbert received
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The Answer:

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2 years ago
How would I find the integral of <img src="https://tex.z-dn.net/?f=%5Cint%5Cfrac%7Btdt%7D%7Bt%5E4%2B2%7D" id="TexFormula1" title
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Let t=\sqrt y, so that t^2=y, t^4=y^2, and \mathrm dt=\dfrac{\mathrm dy}{2\sqrt y}. Then

\displaystyle\int\frac t{t^4+2}\,\mathrm dt=\int\frac{\sqrt y}{2\sqrt y(y^2+2)}\,\mathrm dy=\frac12\int\frac{\mathrm dy}{y^2+2}

Now let y=\sqrt2\tan z, so that \mathrm dy=\sqrt2\sec^2z\,\mathrm dz. Then

\displaystyle\frac12\int\frac{\mathrm dy}{y^2+2}=\frac12\int\frac{\sqrt2\sec^2z}{(\sqrt2\tan z)+2}\,\mathrm dz=\frac{\sqrt2}4\int\frac{\sec^2z}{\tan^2z+1}\,\mathrm dz=\frac1{2\sqrt2}\int\mathrm dz=\dfrac1{2\sqrt2}z+C

Transform back to y to get

\dfrac1{2\sqrt2}\arctan\left(\dfrac y{\sqrt2}\right)+C

and again to get back a result in terms of t.

\dfrac1{2\sqrt2}\arctan\left(\dfrac{t^2}{\sqrt2}\right)+C
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3 years ago
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