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Tju [1.3M]
3 years ago
9

Positive,negative,zero and undefined slope

Mathematics
1 answer:
zheka24 [161]3 years ago
4 0

Answer:

Below is are attachments of positive,negative, and zero slopes. I could not provide an example of undefined, but basically what that is, is when the line is a straight line going down on either the right or left side of the graph.

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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
3 years ago
Help me plz with this I need help
marysya [2.9K]
How are we supposed to help with this what the heck??
4 0
3 years ago
I need help please :(
zloy xaker [14]

Answer:

-(1/3 · 1/3 · 1/3 · 1/3 )

Step-by-step explanation:

-(3)^-4= -1/3 ^4 = -1/81

-(1/3 · 1/3 · 1/3 · 1/3 )= -1/81

7 0
3 years ago
Read 2 more answers
jayden lost 12 pounds in 3 weeks after that his lost rate was half if he lost a total of 84 pounds how many weeks did it take
Marina CMI [18]

Answer:

Jalen lost 12 pounds in the first 3 weeks

12/3=4 per week

than the weight loss slowed by half, meaning he lost 6 pounds in 3 weeks

6/3=2 per week

84-12=72 to loose after 3 weeks

72/2=36 weeks

to loose 84 pounds you need 3+36=39 week

pls mark me as brainlist

7 0
3 years ago
Identify which of the twelve basic functions listed below fit the description given. The three functions that are bounded above.
Irina18 [472]

Answer:The Sine function:  

f

(

x

)

=

sin

(

x

)

The Cosine function:  

f

(

x

)

=

cos

(

x

)

and

The Logistic function:  

f

(

x

)

=

1

1

−

e

−

x

are the only function of the "Basic Twelve Functions" which are bounded above.

Step-by-step explanation:

8 0
3 years ago
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