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3 years ago

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All of the edges of a moving box are of equal length. If the surface area is 864 square inches, what is the length; in inches of

each edge of the box?

1 answer:

andreyandreev [35.5K]3 years ago

6 0

Side makes 846 because side = area to the power of 2

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Find all local extrema for f(x, y) = 2y3 + 12x2 − 24xy. (if an answer does not exist, enter dne.) local minimum (x, y) = local m

OlgaM077 [116]

$f(x,y)=2y^3+12x^2-24xy$
Find the first derivatives:
$f'_x=24x-24y \\ f'_y=6y^2-24x$ .
Solve the system $\left \{ {{f'_x=0} \atop {f'_y=0}} \right.$ :
$\left \{ {{24x-24y=0} \atop {6y^2-24x=0}} \right. \rightarrow \left \{ {{x=y} \atop {6y^2-24y=0}}$ . The second equation has solutions $y_1=0, \\ y_2=4$ and then $x_1=0, \\ x_2=4$ and you have two points $A_1(0,0), \\ A_2(4,4)$ .

Find the first derivatives:
$f^{''}_{xx}=24 \\ f^{''}_{xy}=f^{''}_{yx}=-24 \\ f^{''}_{yy}=12y$ and calculate $\Delta=\left| \left[\begin{array}{cc}24&-24\\-24&12y\end{array}\right]\right |=24\cdot 12y-(-24)^2=288y-576$ .
Since $\Delta(A_1)=-576$ and $f^{''}_{xx}\ \textgreater \ 0$ , $A_1$ is a point of maximum and $f(0,0)=0$ .
Since $\Delta(A_2)=576$ and $f^{''}_{xx}\ \textgreater \ 0$ , $A_1$ is a point of minimum and $f(4,4)=-64$ .

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Dibuja el triángulo rectángulo y resuélvelo conocidos los siguientes elementos (utiliza las relaciones trigonométricas)

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Answer:

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2 years ago

Frank bought 18 water bottles and 28 candy bars for a reunion. Water bottle cost 1.80 for a six pack. Candy bars cost 4.20 for 6

iogann1982 [59]

Answer:

$17.60

Step-by-step explanation:

Let’s start by first finding the cost of 1 candy bar. We have to divide 1.80 by 6 to find the cost of 1 water bottle and 4.20 divided by 6 to find the cost of 1 candy bar. 1 water bottle= 30 cents (0.3) and 1 candy bar= 70 cents (0.7). Now, to find how much he spent on 18 water bottles we must multiply 18 by 0.3 which = $60 and multiply 28 by 0.7 = $19.60 (19.6). Now add 19.60 + 60 = 79.60 (79.6)

So, Frank spent $79.60 on food total. Sorry if I got it wrong, but hope this helps!

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2 years ago

A scientist used 786 milliliters of a liquid for an experiment. How many liters of the liquid did the scientist use for this exp

Virty [35]

The answer is d , i hope this helps !

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2 years ago

Read 2 more answers

Mark Went to the store and purchase nine pairs of socks and three packages of undershirts for $8.28 each he also purchase a pair

agasfer [191]

Answer:

He paid $2.35 for each pair of socks.

An equation using the variable S is

$77.99 = 9S + (3 × $8.28) + $32

Step-by-step explanation:

Let S be the cost of a pair of socks

From the question, Mark purchase nine pairs of socks, that is, the total cost of the pairs of socks is 9S

He purchase three packages of undershirts for $8.28 each; the total cost of the three packages of shirt will be 3 × $8.28 = $24.84

and he also purchase a pair of pants for $32

Since he spent a total of $77.99, we can write that

$77.99 = 9S + (3 × $8.28) + $32

Now, we can determine S, the cost of a pair of socks

$77.99 = 9S + (3 × $8.28) + $32

$77.99 = 9S + $24.84 + $32

$77.99 = 9S + $56.84

9S = $77.99 - $56.84

9S = $21.15

S = $21.15/9

S = $2.35

Hence, he paid $2.35 for each pair of socks.

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3 years ago