Help please wats the correct answer

Answer:

[tex]V = 6746.30cm^3[/tex]

Step-by-step explanation:

Given

[tex]Surface\ Area = 1700cm^2[/tex]

Required

Determine the largest possible volume

Represent the dimension with:

[tex]Height = h[/tex]

[tex]Sides = x[/tex]

Surface Area with an open top is:

[tex]Surface\ Area = x^2+ 4hx[/tex]

Substitute 1700 for Surface Area

[tex]1700 = x^2+ 4hx[/tex]

Make h the subject

[tex]4hx = 1700 - x^2[/tex]

[tex]h = \frac{1700 - x^2}{4x}[/tex]

The volume (V) is calculated as:

[tex]V = x^2h[/tex]

Substitute value for h in [tex]V = x^2h[/tex]

[tex]V = x^2*\frac{1700 - x^2}{4x}[/tex]

[tex]V = x*\frac{1700 - x^2}{4}[/tex]

[tex]V = \frac{1700x - x^3}{4}[/tex]

[tex]V = \frac{1700x}{4} - \frac{x^3}{4}[/tex]

[tex]V = 425x - \frac{x^3}{4}[/tex]

[tex]V = 425x - \frac{1}{4}x^3[/tex]

Differentiate and equate to 0, afterwards

[tex]V' =425 - \frac{3}{4}x^2[/tex]

[tex]425 - \frac{3}{4}x^2 = 0[/tex]

[tex]\frac{3}{4}x^2 = 425[/tex]

Solve for [tex]x^2[/tex]

[tex]x^2 = 425 * \frac{4}{3}[/tex]

[tex]x^2 = 566.67[/tex]

Take the square root of both sides

[tex]x = \sqrt{566.67[/tex]

[tex]x = 23.80[/tex]

Substitute 23.80 for x in [tex]h = \frac{1700 - x^2}{4x}[/tex]

[tex]h = \frac{1700 - 23.80^2}{4*23.80}[/tex]

[tex]h = \frac{1133.56}{95.20}[/tex]

[tex]h = 11.91[/tex]

So, the largest possible volume is:

[tex]V = x^2h[/tex]

[tex]V = 23.80^2 * 11.91[/tex]

[tex]V = 6746.30cm^3[/tex]

======================================================

Work Shown:

x = total bill amount ignoring the tip

18% of x = 0.18x = tip amount

x+0.18x = 1.18x = amount Martin paid = 27

1.18x = 27

x = 27/1.18

x = 22.8813559322033 approximately

x = 22.88 dollars was the total bill.

----------

Checking the answer:

18% of 22.88 = 0.18*22.88 = 4.1184 = 4.12

Martin left a tip of $4.12

Add this on top of the bill to get 22.88+4.12 = 27

This matches with the fact he paid $27.

The answer is confirmed.

Answer:

The other distances are 400 ft and 750 ft.

Step-by-step explanation:

a + b + c = 2000

a + b + 850 = 2000

a + b = 1150     Equation 1

a^2 + b^2 = c^2

a^2 + b^2 = 850^2

a^2 + b^2 = 722,500     Equation 2

a + b = 1150

a^2 + b^2 = 722,500

a = 1150 - b

(1150 - b)^2 + b^2 = 722,500

1,322,500 - 2300b + b^2 + b^2 = 722,500

2b^2 - 2300b + 600,000 = 0

b^2 - 1150b + 300,000 = 0

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-1150) \pm \sqrt{(-1150)^2 - 4(1)(300,000)}}{2(1)} [/tex]

[tex] x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2} [/tex]

[tex] x = \dfrac{1150 \pm \sqrt{122,500}}{2} [/tex]

[tex]x = \dfrac{1150 \pm 350}{2}[/tex]

[tex] x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2} [/tex]

x = 750   or   x = 400

Answer: The other distances are 400 ft and 750 ft.

Answer:

66 to 70 and 85 to 90

Step-by-step explanation:

Answer:

The GCF of 4x^2 + 6x

is. (2x )

hope it helps

2x

Answer:

100 km/hour, or 16.67 km/minute

Step-by-step explanation:

Answer: 57.34

Step-by-step explanation:

Answer:

Oh gosh- I'm learning geometry in school. IDEK WHATS HAPPENING! But where's the question? Is there supposed to be a file attached or something?

The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

The equation is given as:

x^2 + (1 - k).x+k-3 = 0

For an equation to have real root, then the following must be true:

[tex]b^2 \ge 4ac[/tex]

In x^2 + (1 - k).x+k-3 = 0, we have:

a = 1

b = 1 - k

c = k - 3

So, we have:

[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]

Evaluate

[tex]1 - 2k + k^2 \ge 4k - 12[/tex]

Collect like terms

[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]

[tex]k^2 - 6k + 13 \ge 0[/tex]

Using a graphing calculator, the value of k is all real numbers

Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

Read more about real values at:

https://brainly.com/question/6499629

Answer:

Whats the question

Step-by-step explanation:

also if you are looking for the unit rate its 153.846...

or if you are looking for how many in 2 years then 650,000

Hope this helps

Have a nice day :)

Answer:

B.) About 200 minutes napping

Step-by-step explanation:

74+56+128+38=296

500-296=204

204 is about 200

Answer:

Lets solve using elimination method

(x+y=-7)*-2

3x+2y=-17

-2x-2y=14

+

3x+2y=-17

x=-3

so lets substitute now

-3+y=-7

y=-7+3

y=-4

answer = (-3,-4)

mark me brainliest

HOPE IT HELPS :)

Answer:180.1 feet

Step-by-step explanation:

Using tan to find the answer; Opposite/Adjacent = 62/x

tan19=62/x

xtan19=62 (cross multiply)

xtan19/tan19=62/tan19 (Divide each side by tan19)

x=62/tan19=180.0611=180.1 feet

Answer:

what are the options in the scroll down options

vjzgxv. vjvjcvjkv. vjvkvkkb

Answer:

its 12 :)

hope this helps you

Answer: 4a

Step-by-step explanation:

Answer:

a = 2

Step-by-step explanation:

2a + 2 = 6

2a + 2 - 2 = 6 - 2

2a = 4

2a / 2 = 4 / 2

a = 2

Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!

Answer:

nm,l

Step-by-step explanation:

Answer:

80√3

Step-by-step explanation:

here's your solution

=> First number is 4√5

=> Second number is 4√15

=> we need to find product

=> 4√5*4√15

=> 4*4 = 16

=> √5*√15. = √75

=> √75 = 5√3

=> now, multiple 5√3*16 = 80√3

hope it helps

Answer:

Volume  

=

512

cubic feet

Explanation:  

A cube has  

6

faces all with equal area.

If the total surface area of the cube is  

384

sq.ft.

then each face has an area of  

384

÷

6

=

64

sq.ft.

Each face of a cube is a square and if we denote the length of an edge as  

E

then the area of a face (in this case  

64

sq.ft.) is equal to  

E

2

XXX

E

2

=

64

sq.ft.

XXX

→

E

=

8

sq.ft.

The volume of a cube with edges of length  

E

is  

E

3

In this case  

Volume

=

E

3

=

8

3

=

512

sq.ft.

Hope i helped

Answer:

20

Step-by-step explanation:

Given that:

Red flowers = 1/8

Purple = 1/4

(1/8 + 1/4) = (1 + 2) / 8 = 3/8

Fraction left :

1 - 3/8 =. 5/8

Pink flowers :

1/4 of fraction left ;

1/4 * 5/8 = 5/32

Number of pink flowers

Total number of flowers = 128

5/32 * 128

640 / 32

= 20

20 pink flowers

Answer:

Step-by-step explanation:

All you do is  draw a line straight across 5x and then graph 1 which is right next to 5.

Step-by-step explanation:

2x = y-10

Rewrite as: 2x + 10 = y

Therefore:

2x+10 = y

2x +7 = 2y

Subtract the equations:

 2x + 10 = y

- 2x + 7 = 2y

______________

          3 = -y

Therefore y = -3

Substiture y = -3 into the second equation:

2x + 7 = 2(-3)

2x + 7 = -6

2x = -13

x= -6.5

Answer : (-6.5, -3)

Answer:

(-13/2,-3)

Step-by-step explanation:

First you want to isolate y from 2x=y-10 or 2x+7=2y. In this case, I picked 2x=y-10 so I added 10 on each side to make y=2x+10. Because we know what y is equal to, we have to plug that into the other equation which is 2x+7=2y so the equation will look like 2x+7=2(2x+10). Simplify this to get 2x+7=4x+20. Simplify this again to get 2x=-13. Divide 2 by each side to get x=-13/2. Then, you have to -13/2 back into one of the equations. In this case, I picked 2x+7=2y so the equation will look like this. 2(-13/2)+7=2y. Simplify this to get -13+7=2y. Simplify again to get -6=2y. Simplify this again to get y=-3. Therefore, x=-13/2 and y=-3. To put it in ordered pair form which is (x,y). Plug that in to get (-13/2,-3).

If this has helped you, please mark the is brainliest