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2 years ago

Help! due in 2hrs please show work :)

Mathematics

1 answer:

Sidana [21]2 years ago

7 0

Answer:

Its A

Step-by-step explanation:

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9 into 780 the problem has been stated for you

stepladder [879]

Answer:

I guess you want to know how many times 9 goes into 780, this would be division. 780/9 =86.6666666667

6 0

3 years ago

A box with a square base and open top must have a volume of 296352 c m 3 . We wish to find the dimensions of the box that minimi

mestny [16]

Answer:

Base Length of 84cm
Height of 42 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume, $V=x^2h=296352$

$h=\dfrac{296352}{x^2}$

Surface Area of the box = Base Area + Area of 4 sides

$A(x,h)=x^2+4xh\\$Substitute h=\dfrac{296352}{x^2}\\A(x)=x^2+4x\left(\dfrac{296352}{x^2}\right)\\A(x)=\dfrac{x^3+1185408}{x}$

Step 2: Find the derivative of A(x)

$If\:A(x)=\dfrac{x^3+1185408}{x}\\A'(x)=\dfrac{2x^3-1185408}{x^2}$

Step 3: Set A'(x)=0 and solve for x

$A'(x)=\dfrac{2x^3-1185408}{x^2}=0\\2x^3-1185408=0\\2x^3=1185408\\$Divide both sides by 2\\x^3=592704\\$Take the cube root of both sides\\x=\sqrt[3]{592704}\\x=84$

Step 4: Verify that x=84 is a minimum value

We use the second derivative test

$A''(x)=\dfrac{2x^3+2370816}{x^3}\\$When x=84$\\A''(x)=6$

Since the second derivative is positive at x=84, then it is a minimum point.

Recall:

$h=\dfrac{296352}{x^2}=\dfrac{296352}{84^2}=42$

Therefore, the dimensions that minimizes the box surface area are:

Base Length of 84cm
Height of 42 cm.

5 0

2 years ago

Is 18/54 equivalent to 3/9?

viva [34]

Yessssssssssssssssssssssss

4 0

2 years ago

Evaluate the expression (-3) 3

denis-greek [22]

Answer:

-9

Step-by-step explanation:

This is just -3 * 3

=-9

6 0

1 year ago

Read 2 more answers

Standard deviation measures _____ risk while beta measures _____ risk.

Stolb23 [73]

Answer:

Standard deviation measures Total risk while beta measures Systematic risk.

Step-by-step explanation:

The total risk is the total variability of the portfolio and includes the systematic risk and the unique risk.

The systematic risk is measured by the beta coefficient and it considers the no diversified risk such as changes in the global market. Unique risks are the ones that result from factors specifically related to the company.

3 0

2 years ago