Classify the function. y=2x^3 - 4x^2 - 160x

Answer:

Maximum length and breadth of the box is 6.32 cm and the height of the box is 3.16 cm

Step-by-step explanation:

Surface area of box

[tex]4xy+x^2=120\\\Rightarrow y=\dfrac{120-x^2}{4x}[/tex]

Volume of box is

[tex]V=x^2y\\\Rightarrow V=x^2\times \dfrac{120-x^2}{4x}\\\Rightarrow V=\dfrac{120x-x^3}{4}\\\Rightarrow V=30x-\dfrac{1}{4}x^3[/tex]

Differentiating with respect to [tex]x[/tex]

[tex]\dfrac{dV}{dx}=30-\dfrac{3}{4}x^2[/tex]

Equating with zero

[tex]30-\dfrac{3}{4}x^2=0\\\Rightarrow x^2=\dfrac{30\times 4}{3}\\\Rightarrow x^2=40\\\Rightarrow x=6.32[/tex]

Double derivative of the volume

[tex]\dfrac{d^2V}{dx^2}=-\dfrac{6x}{4}=-\dfrac{6\times 6.32}{4}=-9.48<0[/tex]

So, the volume is maximum at [tex]x=6.32[/tex]

[tex]y=\dfrac{120-x^2}{4x}=\dfrac{120-40}{4\times \sqrt{40}}\\\Rightarrow y=3.16[/tex]

So, the maximum length and breadth of the box is 6.32 cm and the height of the box is 3.16 cm.

Step-by-step explanation:

[tex]137 = 2\pi \times r \\ r = \frac{137}{2\pi} = 21.8045232 \\ diameter = 2 \times r = 43.609 \\ = 43.61 \: m[/tex]

Answer:

h = $1.50

d = $1.25

Step-by-step explanation:

$1.50 + $1.50 = $3 + $1.25 = $4.25

$1.50 + $1.50 + $1.50 = $4.50 + $1.25 + $1.25 = $7

Answer:

2h + 1d = 4.25

3h + 2d = 7.00

Step-by-step explanation:

-3(2h + 1d) = -3(4.25)

2 (3h + 2d) = 2(7.00)

-6h - 3d = -12.25

6h + 4d = 14

if we add them together we get D = 1.75

Checking:

2h + 1(1.75) = 4.25

2h + 1.75 = 4.25

2h = 2.5

h = 1.25

1.25 times 2 plus 1.75 = 4.25

Answer:

I can answer Part B since I can't explain Part A in words.

Step-by-step explanation:

Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)

Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)

Angle 4 = 81 degrees (I also don't know how to explain this.)

Answer:

A. $ 46

B. 12 people.

Step-by-step explanation:

From the question given above, we obtained the following:

C(x) = 6.5x + 20

Where:

C => total cost of bowling

x => number of people

A. Determination of the of bowling for 4 people.

Number of people (x) = 4

Total cost (C) of bowling =?

C(x) = 6.5x + 20

C(4) = 6.5(4) + 20

C(4) = 26 + 20

C(4) = $ 46

Thus, it will cost $ 46 for 4 people to bowl

B. Determination of the number of people that can bowl for $ 98.

Total cost (C) of bowling = $ 98

Number of people (x) =?

C(x) = 6.5x + 20

98 = 6.5x + 20

Collect like terms

98 – 20 = 6.5x

78 = 6.5x

Divide both side by 6.5

x = 78 / 6.5

x = 12

Thus, 12 people can bowl for $ 98.

Answer:

1) The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1

2) The expected amount of surcharges is $250

Step-by-step explanation:

Given that;

Y      0           1       2        3         4

p(y) 0.50   0.20   0.15   0.10   0.05

1)

Value of E(Y)

E(Y) = (0×0.50) + ( 1×0.20) + ( 2×0.15) + (3×0.10) + (4×0.05)

= 0 + 0.20 + 0.3 + 0.3 + 0.2

E(Y) = 1

Therefore, The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1

b)

Suppose an individual with Y violations incurs a surcharge of $100Y² , the expected amount of the surcharge is given by,

E($100Y²) = 100E(Y)²

= 100∑Y²P(y)

= 100(0²×0.50) + ( 1²×0.20) + ( 2²×0.15) + (3²×0.10) + (4²×0.05)

= 100( 0 + 0.2 + 0.6 + 0.9 + 0.8 )

= 100(2.5)

= $250

Therefore; The expected amount of surcharges is $250

Answer:

24

Step-by-step explanation:

common sense

Answer:

x=−4 or x=6

Step-by-step explanation:

Answer:

0.743

:))))))))))))))

Answer:

The correct answer is y=4x

Step-by-step explanation:

Answer:

29%

Step-by-step explanation:

You add the 18 and 53 then subtract by 100 to receive your answer

Answer:

29%

Step-by-step explanation:

You add the percentages of the other categories (18 - children, 53 - adult fiction) then subtract from 100.

Answer:

Step-by-step explanation: 60 x 3= 380

2 x 60= 270

270 + 380= 810

Answer:

9 cm

Step-by-step explanation:

Answer:

it is 9 cm because 9 x 8 is 72

Step-by-step explanation:

Answer:

i=prt

i = 1,000 x 0.045 x 1.5

Step-by-step explanation:

Answer:

y= 2/1x

Step-by-step explanation:

1. Mark two points on the coordinate place (1,2) (2,4)

2. Subtract y1 from y2 and x1 from x2

(1, 2)   1

(2, 4)   2

4-2 y, 2-1 x

3. Put y on top of x as a fraction after you've subtracted it (2/1)

4. y= 2/1x

i think this is right...maybe?

Answer:

A

Step-by-step explanation:

Took the test

Answer:

YES:  direct variation

Step-by-step explanation:

2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx.  YES

Answer:

14

20+8=28/2

your welcome

Answer:

400

Step-by-step explanation:

Answer:

2 shifts

Step-by-step explanation:

Amount earned washes dishes = 12 dollars / hour

Shift duration = 75 minutes

Cost of laundry = 12 quarters per load

Cost of 10 loads of laundry = (10 * 12 quarters) = 120 quarters

1 quarter = 25 cents

120 quarters = (25 * 120) = 3000 cents

100 cents = $1

3000 cents = 3000/ 100 = $30

Hence, to make $30 from washing dishes :

$12 = 1 hour

$30 = x

x = 30 / 12

x = 2.5 hours

1 shift lasts 75 minutes

2.5 hours = (2.5 * 60) = 150 minutes

150 / 75 = 2 shifts

Answer:

1/10 x 5/6 = 5/60 or 1/12

Step-by-step explanation:

multiply the denominator and numerators. If it is needed to be simplified,

find the gcf of 5 and 60. That would be 5. So divided 5/60 by 5. This would be your final answer of 1/12.

Have a nice day, and I hope this helps you!

-KindnessMatters-

Answer:

9

Step-by-step explanation:

i did the math

41. A

42. A

43. B

44. B

45. A

46. A

47. B

48. A

49. A

50. A

51. B

52. B

a,b,c,and d

Step-by-step explanation:

there came a time, when a child cheated on their math work. getting the answers they needed wasnt all

they needed someone to make them feel terrible abuot it

and thats what im here to do

PICK ALL OF THEM

MASH YOUR COMPUTER

Answer: I’m pretty sure it’s graph A

Step-by-step explanation:

Answer:

D, Last graph

Step-by-step explanation:

After test review, it revealed the answer, but the answer's D. Sorry for the poor explanation!

Answer:

x<9

Step-by-step explanation:

so first you add 4 to both sides,

then it is x<9 right?

WELL THAT'S THE ANSWER :)

pls give me brainliest

ˆ

THEY ARE CORRECT

GIVE THEM BRAINLIST BEFORE THIS GETS DELETED

Answer:

38m

Step-by-step explanation:

the top side is equal to

2 + 5 + 1 = 8

the perimeter:

9 + 7 + 8 + 2 + 4 + 5 + 2 + 1 = 38

Answer:

130 is a 13.333%  or 13% decrease of 150.

Answer:

a: about 800? nonfiction books in valley

b: valley and central has more fiction than nonfiction books

c: there's probably about 2600 books in hillside

Step-by-step explanation: