Please help me with this question

A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 64 ft3. what dimensions y

Doss [256]

To solve this problem you must apply the proccedure shown below:

1. You must use the formula for calculate the surface area and the volume of the tank:

$1) SA=x^{2} +4xy\\ 2) V=x^{2} y\\ 64=x^{2} y$

2. Solve for $y$ in the second equation and substitute it into the first one.Then, you have:

$y=\frac{64}{x^{2}} \\ SA=x^{2} +4x(\frac{64}{x^{2}})$

3. Now, derivate:

$SA'=2x-256x^{-2} \\ 2x-256x^{-2}=0$

4. When you solve for $x$ , you obtain:

$2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}} \\ x=5.03$

5. Now, you must calculate $y$ :

$y=\frac{64}{(5.03)^{2}} \\ y=2.52$

Therefore, the dimensions are:

The sides of the base of the tank: $5.03 feet$

The height of the tank: $2.52 feet$

8 0

3 years ago

10 points

pav-90 [236]

Answer:

7.5 in

Step-by-step explanation:

5 0

3 years ago

00 SCH

xeze [42]

Answer:

f(x) - 1

Step-by-step explanation:

guess one question will not hurt your grade.

4 0

3 years ago

Read 2 more answers

Suppose that a recent poll found that 40% of adults in a certain country believe that the overall state of moral values is poor.

shusha [124]

Answer:

Step-by-step explanation:

Let X be the no of adults whose feelings the state of morals is poor.

X has two outcomes and each trial is independent of the other

X is Bin with p = probability for success in each trial =40%=0.40

n=no of adults surveyed = 55

a) The probability that exactly 21 of those surveyed feel the state of morals is poor is

$P(X=21) = 40C21 (0.4)^{21} (1-0.4)^{19} \\=0.03519$

(b) The probability that no more than 22 of those surveyed feel that state of morals is poor is

= $P(X$

(c) The probability that more than22 of those surveyed feel the state of morals is poor is

$P(X>22)\\=1-0.9811\\=0.0119$

(d) The probability that 15 or 16 believe the state of morals is poor is

= $P(X=15)+P(X=16)\\=0.1228+0.1279\\=0.2507$

4 0

4 years ago

The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?

sertanlavr [38]

Answer:

Step-by-step explanation:

slope, m = (6-0) /(0--2) = 6/2 = 3

intercept, c at y = -2 when x = 0

Equation

y = mx + c

y = 3x -2

4 0

4 years ago