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4 years ago

Please help me!! I really need it (:

Mathematics

1 answer:

klasskru [66]4 years ago

5 0

it is a linear equation

if you take the negative of x and subtract 1 you get Y

so the answer is A

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A candy box is made from a piece of cardboard that measures 23 by 13 inches. Squares of equal size will be cut out of each corne

wolverine [178]

Answer:

2.67 inches.

Step-by-step explanation:

Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).

The formula for a rectangular box = L × B × W

= (23 -2y)(13-2y) (y)

= (299 - 46y - 26y + 4y²)y

= 299y - 72y² + 4y³

Now for the maximum volume:

dV/dy = 0

This implies that:

299y - 72y² + 4y³ = 299 - 144y + 12y² = 0

By using the quadratic formula; we have :

$= \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}$

where;

a = 12; b = -144 and c = 299

$= \dfrac{-(-144) \pm \sqrt{(-144)^2 -4(12)(299)}}{2(12)}$

$= \dfrac{144 \pm \sqrt{20736 -14352}}{24}$

$= \dfrac{144 \pm \sqrt{6384}}{24}$

$= \dfrac{144 \pm79.90}{24}$

$= \dfrac{144 + 79.90}{24} \ \ OR \ \ \dfrac{144 - 79.90}{24}$

$= 9.33 \ \ OR \ \ 2.67$

Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33

Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.

3 0

3 years ago

WHAT IS <img src="https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D" id="TexFormula1" title="\frac{-b}{2a}" alt="\frac{-b}{2a}" al

kirill115 [55]

Its the quadratic formula

5 0

3 years ago

Find the slope-intercept equation of the line,

netineya [11]

Answer:

slope is 2/4

Step-by-step explanation:

6 0

3 years ago

An online store contacts 1000 customers from its list of customers who have purchased in the last year. In all, 696 of the 1000

Vlad1618 [11]

<u>The population in this setting is(A) All customers who have purchased something in the last year.</u>

<u></u>

Step-by-step explanation:

As it is given in the question that 1000 customers from the list of the customers who made a purchase last year.So the list refers to the population of the people who have made a purchase last year .

The 1000 customers are the sample of the population.

8 0

3 years ago

A point has polar coordinates (r,Ф) and rectangular coordinates (x,y). If you know r and y, then:

Fantom [35]

well, let's say we know "r" and also "y", can we get the angle and the rectangular "x"?

$\bf \begin{cases} y=rsin(\theta )\\ x=rcos(\theta ) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ y=rsin(\theta )\implies \cfrac{y}{r}=sin(\theta )\implies sin^{-1}\left( \cfrac{y}{r} \right)=\theta$

and once we know what angle θ is, since x = rcos(θ), we know "r" already, and we know θ as well, so we know "x" as well.

4 0

3 years ago