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marishachu [46]

2 years ago

12

A description of different houses on the market includes the following three variables. Which of these variables is quantitative

? A. The square footage of the house. B. The monthly gas bill. C. The monthly electric bill. D. All of the above.

1 answer:

Grace [21]2 years ago

6 0

Answer:

Step-by-step explanation:

D.All of the above

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A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

2 years ago

Plz answer asap im goin broke her

Nutka1998 [239]

Answer:

drraaaaaa wild'n out boiii

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

State the open intervals over which the function is (a) increasing, (b) decreasing or (c) constant

ipn [44]

Answer:

a. [-3, 4]

b. (-inf, -3]

c. [4, inf)

Step-by-step explanation:

Our intervals will represent the x-values

We know that since there's an arrow pointing to the left of the line that it goes on infinitely

Same thing when the arrow is going to the right

Then we can just looking at the x-values on the graph for the intervals where it starts and stops

Hope this helps

Best of luck

3 0

1 year ago

Which three expressions are equivalent to the expression 3x − 12 − 2(x + 12)?

Sergio039 [100]

Answer:

The answer should be x - 36

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

PLEASE HELP ME ASAP!<br> Find are and perimeter!!!!

dangina [55]

Area = the top semicircle + the rectangle AEBD

= 1/2 pi*6^2 + 6*12 = 128.55 cm^2 to nearest 100th

Perimeter = 6pi + 12 + 2 pi * 3 = 49.70 cm

6 0

3 years ago