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3 years ago

Which kind of heat transfer does this represent

Mathematics

2 answers:

Kaylis [27]3 years ago

6 0

I believe it is a chemical transfer

NikAS [45]3 years ago

6 0

Chemical transfer I think. I'm pretty sure

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What is the mode of the data set shown below?

harina [27]

The mode of the data set: {10,2,8,9,5,2,6} is 2.
The reason why is because it’s the most frequent number being use. It occurs twice as you can see in the data set.

4 0

3 years ago

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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:

Maximum volume = 649.519 cubic inches

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

V = $V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x$

First, we differentiate V(x) with respect to x, to get,

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

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,

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

Again differentiation V(x), with respect to x, we get,

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

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 =

$V(\displaystyle\frac{5(3-\sqrt{3})}{2}) = (30 - 2x)(15-2x)x = 649.5191\text{ cubic inches}$

8 0

3 years ago

What is the inverse of 2(x+4)^2+8

Sedaia [141]

Find the inverse, interchange the variables to solve for y
f-1 (x)=- $\frac{8- \sqrt[]{_2(-8+x)} }{2} ,$ $\frac{8+ \sqrt{2(-8+x)} }{2}$

3 0

3 years ago

A cylinder has a radius of 5 cm and a height of 12 cm, what is the volume?

nika2105 [10]

Step-by-step explanation:

In a cylinder

Radius=r=5cm
Height=h=12cm

We know that

$\boxed { \sf \: volume = \pi {r}^{2} h} \\ \rm \rightharpoonup \: \frac{22}{7} \times {5}^{2} \times 12 \\ \rm \rightharpoonup \: \frac{22}{7} \times 25 \times 12 \\ \rm \rightharpoonup \: \frac{6600}{7} \\ \rm \rightharpoonup \: 942.8cm {}^{3}$

3 0

3 years ago

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Please help with this one. i will give brainliest

Nutka1998 [239]

70.. not pretty sure tho

6 0

3 years ago

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