A sheet of plastic is 0.12 cm thick. The sheet of plastic is folded so that the folded sheet is twice as thick after each fold.
2. How thick will it be after 3 folds?
1. What is the least number of folds you have to make before the folded plastic is thicker than 3.6 cm?​

Answer:

  (0, ∞)

Step-by-step explanation:

The only maximum, local or otherwise, is at x=0. Since the leading coefficient is negative, the function is decreasing and concave down for x-values greater than 0.

  0 < x < ∞ . . . . . decreasing and concave down

__

Since the leading coefficient of this even-degree function is negative, it will have a generally ∩ shape. It will be decreasing to the right of any local maximum.

The first derivative is negative only for x > 0, so that is the only region where the function is decreasing. Since that x=0 is a local maximum, the function must be concave downward in that neighborhood.

__

The attached graph shows the function and its first and second derivatives. The function is concave down where the second derivative is negative, to the right of the right-most point of inflection.

_____

Additional comment

A graphing calculator provides a quick answer to a question like this. You can find the same answer algebraically.

The first derivative is ...

  f'(x) = -8x^3 -48x^2 -72x = -8x(x^2 +6x +9) = -8x(x+3)^2

This has a zero at x=-3 where the graph of it touches the x-axis, but does not change sign. That means f(x) has a flat spot at x=-3, but is not decreasing except to the right of x=0.

The second derivative is ...

  f''(x) = -24x^2 -96x -72 = -24(x^2 +4x +3) = -24(x +1)(x +3)

The second derivative will be negative for x < -3 and x > -1, to the left and right of the points of inflection. This means f(x) is concave upward only for -3 < x < -1, and concave downward everywhere else.

The function is concave downward and decreasing for x > 0.

Answer:

x= < 4 9/10

Step-by-step explanation:

I hope this helps

Have a great and blessed day

Answer:

K12 Answer

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

A rational number can be written as a fraction. Try finding the square root of 50 and see if you can rewrite it in fraction form.

Step-by-step explanation:

Answer: Sarah got 60 questions correct, 15 questions wrong, and she got 20% of the questions wrong.

Step-by-step explanation:

First, let's solve for how many questions Sarah got correct.

80% as a fraction can be simplified as [tex]\frac{8}{10}[/tex]. To find how many questions Sarah answered correctly, we can set up a proprtional relationship as follows:

[tex]\frac{8}{10}=\frac{?}{75}[/tex]

Next, after we cross multiply, 8 X 75 = 600, and 600 ÷ 10 = 60

So, Sarah got 60 out of 75 questions correct.

To find how many she missed, we can simply subtract 60 from 75 to get 15.

So, Sarah got 15 out of 75 questions wrong.

Finally, to find the percentage of the questions that Sarah got wrong, we can use the 15 out of 75 incorrect questions that we found earlier to create a percentage.

15 ÷ 75 = 0.2

0.2 X 100 = 20

So, Sarah got 20% of the questions wrong.

[tex]8x - 7y = 23 \\ 8x - 23 = 7y \\y = \frac{8}{7} x - \frac{23}{7} [/tex]

The solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.

The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.

To solve an equation for its variable, isolate the variable on one side of the equation using the mathematical operations.

The given expression is,

[tex]8x - 7y = 23[/tex]

The expression has two variables, x and y. To solve it for y, subtract 8x from both sides,

[tex]8x - 7y -8x= 23-8x\\-7y=23-8x[/tex]

Divide with number 7 both sides and change the sign of the equation,

[tex]y=-\left(\dfrac{23-8x}{7}\right)\\y=\dfrac{8x-23}{7}\\y=\dfrac{8}{7}x-\dfrac{23}{7}[/tex]

Thus, the solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.

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Answer:

D

Step-by-step explanation:

The line starts at 10 so I think it's that

Answer:

Slope of a line

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

m = slope

(x_1, y_1) = coordinates of first point in the line

(x_2, y_2) = coordinates of second point in the line

Step-by-step explanation:

Khan Academy

Slope review | Algebra (article) | Khan Academy

Answer:

y=1/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-3)/(2-0)

m=1/2

y-y1=m(x-x1)

y-3=1/2(x-0)

y=1/2(x)+3

y=1/2x+3

Answer:

Number 3 is 10

Step-by-step explanation:

16+13(10)=146

14(10)+6=146

Answer:

See answer below.

Step-by-step explanation:

# 3  x = number of boxes

     $16 + 13x = Tracy cost

     $6 + 14x = Brendan cost

     The costs are equal.  

    16 + 13x = 6 + 14x

     10 + 13x = 14x

      10 = x

#4   First plan                                                            second plan

      x = number of people at a table          x = number of people at a table

      y = number of people at a booths        y = number of people at a booths    

24x + 21y = 270       multiply by 23   ⇔   552x + 483y = 6210

 14x + 23y = 222      multiply by -21   ⇔ -294x  - 483y = -4662

                                                                   258x    =     1548

                                                                          x  = 6

Six people at each tables

 24 (6)  + 21y = 270                                      

   144 + 21y = 270

         21y = 126

            y = 6      

Answer: 6 people at each table; 6 people at each booth.

Answer:

10.07 meters

Step-by-step explanation:

We are given that the angle of elevation is 40° and the boy is 12 meters from the building.

This means that in order to figure out the height of the building, we must use the tangent function which states that [tex]tan(\theta)=\frac{opposite}{adjacent}[/tex].

The opposite side in this case is the height of the building in relation to the angle and the adjacent side is the distance the boy is away from the building.

Therefore, we can find the height of the building by plugging in our known information and solving for the opposite side:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(40^\circ)=\frac{x}{12}[/tex]

[tex]12tan(40^\circ)=x[/tex]

[tex]x=12tan(40^\circ)[/tex]

[tex]x\approx10.07[/tex]

Therefore, the height of the building is approximately 10.07 meters.

Answer:

5 and 15

Step-by-step explanation:

20 = 3x+x

Answer: The smallest number is 20, and the largest number is 27. (27 - 20) + 1 = 8. Eight numbers make 4 pairs, and the sum of each pair is 47. 4 x 47 = 188. The sum of the numbers from 20 to 27 is 188.

Answer:

Number of 1-cm cube 24. Volume of solid 24 cm^2

Step-by-step explanation:

Answer:

3:55

Step-by-step explanation:

add 35 to 20 then put the hour =

3:55

Answer:

  (x, y) = (4, -2)

Step-by-step explanation:

The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.

  (3x +4) -2(x +2y) = (4) -2(0)

  x = 4 . . . . . . . . . simplify

Substituting into the first equation, we have ...

  4 +2y = 0

  2 +y = 0 . . . . . . divide by 2

  y = -2 . . . . . . . . subtract 2

The solution is (x, y) = (4, -2).

The best example of a down payment is given as follows:

C. Billy orders a piano, pays half the cost up front, and has to pay the other half when the piano is delivered.

The down payment of a purchase is when a part of the purchase is paid when the purchase is made, and the other part(subjected to interest or not), is paid later.

In this problem, the example of a down payment is given by option C.

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Answer:

B. Robby pays 10 percent cash up front and gets a loan for the remaining 90 percent of the cost of a condominium

Step-by-step explanation:

i just did it

Answer:

x = 15

Step-by-step explanation:

84 = 5x + 9

Subtract 9

75 = 5x

Divide by 5

x = 15

Answer:

x = 15

Step-by-step explanation:

5x + 9 and 84 are alternate angles and are congruent , so

5x + 9 = 84 ( subtract 9 from both sides )

5x = 75 ( divide both sides by 5 )

x = 15

A because the > symbol means greater so if n is on the open side that means its greater

~Shoto Todoroki here~

its option A

i figured this out by trial and error :/

have a good day!

Answer:

5. Alt ext, 6. Alt int, 7. Alt ext, 8, SS Int, 9. Corr

Step-by-step explanation:

5. Alternate exterior since they are on opposite sides of the transversal but both are exterior to parallel lines.

6. Alternate interior, opposite sides of transversal but both are inside the parallel lines.

7. Alternate exterior, same as #1

8. Same side interior since they are on the same side of the transversal and both are inside the parallel lines

9. Corresponding since they are at the same place on the 2 parallel lines.

Answer:

its c

Step-by-step explanation:

Answer: i think the answer is B

Step-by-step explanation:

Answer:

9 gallons will cost $13.50

Step-by-step explanation:

1 gallon = $1.50

1.50 x 9 = 13.50

or

3 gallons = $4.50

4.50 x 9 = 13.50

Answer:

13.5 dollars.

Step-by-step explanation:

4.50 times 3 is 13.5 dollars.

Have A Good Day!!! :)

Answer:the answer is b 10/21

Step-by-step explanation:

Answer:

B) 10/21

Step-by-step explanation:

Keep, change, flip

keep 2/7, change to multiply, flip to 5/3

2/7 x 5/3 = 10/21

Hope this helps! Pls give brainliest!

Answer:

sorry

for this answer

Labor unions arose in the nineteenth century as increasing numbers of Americans took jobs in factories, mines, and mills in the growing industrial economy.

The Knights of Labor, founded in 1869, was the first major labor organization in the United States. The Knights organized unskilled and skilled workers, campaigned for an eight hour workday, and aspired to form a cooperative society in which laborers owned the industries in which they worked.

The Knights’ membership collapsed following the 1886 Haymarket Square riot in Chicago. By 1886 the American Federation of Labor (AFL), an alliance of skilled workers’ trade unions, was growing.

Answer:

y = -5/6x + 6

Step-by-step explanation:

Since we have 2 points, (6,0) and (6,1), we can calculate for the slope by using the formula

Slope = m = (y2 - y1)/(x2-x1) = (1-6)/(6-0) = -5/6

Then plug in m, x(from one of the point), and y(from one of the point) to the equation y = mx + b which get us 0 = -5/6*6+b if we use the point (6,0). Now we'll get b = 6. And then plug in -5/6 for m and 6 for b into the equation y = mx + b we'll get y = -5/6x + 6

The approximate percentage error on the weight of the beaker is 5%

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Error = Actual value - estimated value =

Actual value = 82g, Estimated value = 78g

Error = 82 - 78 which is 4

percent error = error/estimated x 100%

percent error = 4/78 x 100 which is 5%

In conclusion the percent error is 5%

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Answer:

b

Step-by-step explanation:

joshua times 3 is basically derrick's amount

so 3j = d