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3 years ago

Input Output Table 5

Mathematics

2 answers:

Kipish [7]3 years ago

7 0

The answer is B because as the lower numbers go by 1 the higher numbers to the left go up 3

Lerok [7]3 years ago

3 0

The answer would be B

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A box with a square base and no top is to be built with a volume of 1638416384 in33. Find the dimensions of the box that require

julsineya [31]

Answer:

$512\ \text{in}^2$

Step-by-step explanation:

x = Length and width of base

y = Height of box

Volume of the box is $16384\ \text{in}^3$

$x^2y=16384\\\Rightarrow y=\dfrac{16384}{x^2}$

Surface area is given by

$s=x^2+4y\\\Rightarrow s=x^2+4\times \dfrac{16384}{x^2}\\\Rightarrow s=x^2+\dfrac{65536}{x^2}$

Differentiating with respect to x we get

$s'=2x-\dfrac{131072}{x^3}$

Equating with 0 we get

$0=2x^4-131072\\\Rightarrow x=(\dfrac{131072}{2})^{\dfrac{1}{4}}\\\Rightarrow x=16$

$s''=2+\dfrac{393216}{x^4}$

at $x=16$

$s''=2+\dfrac{393216}{16^4}=8>0$

So the function is minimum at x = 16

$y=\dfrac{16384}{x^2}=\dfrac{16384}{16^2}\\\Rightarrow y=64$

The material required is

$s=x^2+4y=16^2+4\times 64\\\Rightarrow s=512\ \text{in}^2$

The minimum amount of material required is $512\ \text{in}^2$ .

6 0

3 years ago

HELLLPPP PLLZZZZ IIII BEEEEGGGG UUU

Anuta_ua [19.1K]

Asked and answered elsewhere.
brainly.com/question/9124477

5 0

3 years ago

What is the additive inverse of -7x2 + y? 7x2 + y 7x2 − y 7x − y -7x2 − y

Genrish500 [490]

Additive inverse is the number that when added to a number yields 0.

This is the negation of that number or expression.

The additive inverse of $7x^2 + y$ is $-(7x^2 + y)$

Distribute the negative sign across all the terms in the parentheses. This is the same thing as multiplying each term by -1.

$-(7x^2 + y)$
$(-1 * 7x^2) + (-1 * y)$
$-7x^2 - y$