Metal Fabrication If an open box is made from a tin sheet 10 in. square by cutting out identical squares from each corner and bending up the resulting flaps, determine the dimensions of the largest box that can be made. (Round your answers to two decimal places.)

Answer:

0.035714285714286

Step-by-step explanation:

is the decimal form

Answer:

It's false, this number is a rational number.

Step-by-step explanation:

It's false, the kind of decimal where the same digits repeats forever are known as periodic decimals and they can be represented with fractions therefore they are a part of the rational numbers. To represent this number in a fraction form we need to first identify the part that repeats, in this case it's 7, since it's only one number we can insert it in the numerator and the denominator will have a 9, if it were two numbers the denominator would have a 99 and so on. So in this case:

7/9 = 0.7777...

The statement is false. The number 0.7777 repeating is not an irrational number, but a rational number, as it can be expressed as the fraction 7/9.

The statement is false. The number 0.7777 repeating is not an irrational number. An irrational number is a number that cannot be expressed as a/b, where a and b are integers and b ≠ 0. However, the number 0.7777 repeating can be expressed as a fraction, specifically, as 7/9. Therefore, it does not meet the definition of an irrational number and is, in fact, a rational number.

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Answer:

c

Step-by-step explanation:

If there are 100 cards and you can only pick numbers less then 12, you then could only have a number between 1 and 11

Answer:

its c

Step-by-step explanation:

[tex]\dfrac{1}{4} =0,25\\\dfrac{7}{10} =0,7\\\dfrac{1}{4} +\dfrac{7}{10}=0,25+0,7=0,95[/tex]

the giraffe is 18 feet tall.

Answer:

Every third member of the club in her physical educations class

Step-by-step explanation:

The reasoning behind this is because if Millie surveys her club members who are hosting the school play, she wouldn't be able to get an accurate average number of tickets sold because the club member have a bias in terms of purchasing the tickets as they run the club. Meanwhile the physical education class has a more random assessment because every third person in the class may or may not have an interest in the play the same way the club would.

Answer:The answer is

Neither sample will be representative. B on edge

Step-by-step explanation:):):):):):):):):):) I GOT IT RIGHT

Answer:

a.) (-16,0)(0,12)

b.) (-3,0)(0, 3/2)

Step-by-step explanation:

Plug it in for each.

y= 3/4x+12 (Lets plug in our x intercept of (x,0) and our y intercept of (0,y)

x-intercept

0=3/4x+12

-12        -12

-12=3/4x

-12/(3/4)=x

-16=x

SO, your x intercept is -16 which is point (-16, 0)

Now to do your y intercept in lets plug x in as 0 instead this time:

y = 3/4(0)+12

y = 12

Your y intercept is 12

Now for b its the same process of plugging 0 in for the values let

y-int=-2(0)-4y+6=0

                      -6  -6

                       -4y/-4=-6/-4 <- divide both sides by 4

                              y = 3/2 <- Simplified answer

y int = (0, 3/2)

x-int = -2x-4(0)+6 = 0

                       +6   +6

                       -2x = 6

                           x = 6/-2 <-- Divide both sides by -2

                           x = -3     <-- Simplify

x-int = (-3, 0)

Answer: a, d,f

On edge.

Step-by-step explanation:

The possible measures of the angle are -450°, -90° and 270°

An angle is in standard position if its vertex is located at the origin and one ray is on the positive x-axis. The ray on the x-axis is called the initial side and the other ray is called the terminal side.

In any standard position, the vertex of the angle is on the origin (0, 0) of the x and y-axis. Therefore, one side of the angle is always fixed along the positive x-axis, namely, going to the right along the axis in the 3 o'clock direction. This is called the initial side of the angle. The other side of the angle is called the terminal side.

Hence, the angles that match the figure above are the measures of the angle. That is:

-450°

-90°

270°

For more references on terminal side, click;

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Answer:

24 = AE

How to find it

AB = 26 and BD = 20 find AE

Because its a rhombus point is the midpoint of BD so BE is 1/2 BD so BE is 10

Now we no longer need to use BD and instead we use BE

Now since ∠BEA is 90° we can use the Pythagorean Theorem

AB²-BE²=AE²

26²-10²=AE²

676-100=AE²

576=AE²

[tex]\sqrt{576}[/tex]=AE

24 = AE

Answer: 134 cookies

Step-by-step explanation: First we want to find the total amount of cookies Brain bought. Simply multiply 14 x 9 to find the total amount of cookies bought.

14 x 9 = 126 cookies.

Since Brian already had 8 cookies in the jar, we will simply add the new amount of cookies he bought to the cookies in the jar left.

126 + 8 = 134 total cookies that Brain has now.

Answer:

a) 20%

b) 400%

Step-by-step explanation:

In a) you firts do

$310000=100% what about $62000.Then cross multiply

$62000×100%=6200000÷310000=20%

In b) you first do

$62000=100% what about $248000.Then cross multiply

$248000×100=$24800000÷62000=400%

The 1985 cost of the house is 20% of the 2003 price. There was a 400% increase in price from 1985 to 2003.

To answer both parts of this question, we will use the concept of percentages.

(a) First, we calculate the 1985 price as a percentage of the 2003 price by dividing the cost of the house in 1985 by the cost in 2003, and then multiply the result by 100 to give a percentage. So we have (62000/310000)*100 = 20%. Therefore, the 1985 house cost represents 20% of the 2003 price.

(b) To calculate the percentage increase from 1985 to 2003, we take the difference in prices from 1985 to 2003, divide this by the original price in 1985, and then multiply the result by 100. So we have ((310000-62000)/62000)*100 = 400%. Hence, there was 400% increase in the price from 1985 to 2003.

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Final answer:

Volume of a prism is represented in cubic units as length x width x height. The SI unit of volume is cubic meter (m³) and a common unit is the liter (L), equivalent to a cubic decimeter (dm³).

Explanation:

Volume is defined as the amount of space occupied by a solid in cubic units, and for a prism that is length x width x height. In the case of volume, it goes like length cubed, represented as V = L³.

The SI unit of volume is cubic meter (m³), equal to the space occupied by a cube of 1m on each edge. A more commonly used unit of volume is the liter (L), which is equivalent to a cubic decimeter (dm³).

Answer:

27

Step-by-step explanation:

When looking for the volume of a prism you multiply the base and height to get the volume. When looking for the volume of a pyramid of the same base and height all you need to do is multiply .333 or 1/3 in decimal form to get the correct answer.

The volume of the prism: (3)(3)(9) = 81

The volume of the pyramid: (1/3 or .333)(3)(3)(9) = 26.973 = 27

Answer:

Dimensions of a matrix:

r × c

Where r is the no. of rows and c is the no. of columns

If A has 4 rows (horizontal) and 3 columns (vertical),

Dimensions are: 4 × 3

If A has 3 rows (horizontal) and 4 columns (vertical),

Dimensions are: 3 × 4

The answer is Two column proof

Answer: luke is twenty

Step-by-step explanation: Adam is 4 plus 6 is 10 ten times two is twenty

Answer:

luke is 20

Step-by-step explanation:

because you had 6 and 4 and multiply it by 2

Answer:

The sample size n= 2500

A survey with 2500 left-handed people guarantees  the given margin error is 2%

Step-by-step explanation:

Explanation:-

The margin of error = [tex]\frac{2 S.D}{\sqrt{n} }[/tex]

here for proportions , the standard deviation (σ) = [tex]\sqrt{p(1-p)} \leq \frac{1}{2}[/tex]

[tex]Margin of error = \frac{2 S.D}{\sqrt{n} } \leq \frac{2(\frac{1}{2}) }{\sqrt{n} }[/tex]

[tex]Margin of error = \frac{1}{\sqrt{n} }[/tex]

now The necessary sample size is

[tex]n= \frac{1}{(M.E)^{2} }[/tex]

Given data the survey in order to get a margin of error of 2%

M.E = 0.02

[tex]n= \frac{1}{(0.02)^{2} } = 2500[/tex]

Conclusion:-

The sample size n= 2500

A survey with 2500 left-handed people guarantees the given margin error is 2%

You can rewrite the equation as

[tex]3x^2-4x=0 \iff 3x^2=4x[/tex]

So, you draw the graph of [tex]y=3x^2[/tex] (the parabola), and then the graph of [tex]y=4x[/tex] (the line), and see where they intersect.

To solve the equation 3x^2 - 4x = 0 graphically, Amber can draw the graph of y=3x^2 and a straight line that intersects the parabola. The x-values where the line intersects the parabola are the solutions to the equation.

To solve the equation 3x^2 - 4x = 0 using a graphical method, Amber starts by drawing the graph of y=3x^2. This is a parabola that opens upwards with a vertex at the origin (0,0). Since she wants to find the x-values that satisfy the equation, she needs to draw a line that intersects the parabola. The line should be a straight line that crosses the x-axis at the values of x that make the equation true.

To draw this line, she needs to find two points that lie on the line. Since the equation is linear, she can choose any two points to draw the line. Let's choose two points that are easy to calculate. For example, when x=0, y=9 and when x=1, y=12. Plot these two points on the graph.

Next, draw a straight line that passes through these two points. Extend the line so that it intersects the parabola. The x-values where the line intersects the parabola are the solutions to the equation 3x^2 - 4x = 0. In this case, the line intersects the parabola at x=0 and x=4/3.

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Answer:

≈ 1.37 * [tex]10^{13}[/tex]

Step-by-step explanation:

Given the exponental function is:

F(x) =  200*[tex]2^{x}[/tex] where:

How many crickets will there be after three years?

3 years = 12*3 = 36 so x = 36. Substitute x into the function we have:

F(x) = 200*[tex]2^{36}[/tex] ≈ 1.37 * [tex]10^{13}[/tex]

So the number of crickets after three years is: ≈ 1.37 * [tex]10^{13}[/tex]

Answer:  There will be 1.37 x 10^13  crickets after 3 years.

Step-by-step explanation:

Hi, to answer this question we simply have to replace x in the formula by the number of months in 3 years.

f (x) = 200 (2^x)

Where x is the number of months

Since one year has 12 months,

for 3 years: 3 x 12 = 36 months

Substituting  x= 36 on the function

f (36) = 200 (2^36)

f (36) = 200 (2^x)

f(36) = 1.37 x 10^13

Feel free to ask for more if needed or if you did not understand something.

Answer:

a. 7/10

b. 79/240

Step-by-step explanation:

Please see the attached files for details

Answer:

a) 0.70

b) 0.925

You are right and your friends are wrong.

Step-by-step explanation:

- 65 adults and 15 children in a movie theater

- 41 adults and 6 children bought popcorn

Number of children in the theatre = 15

Number of adults in the theatre = 65

Number of children that bought popcorn = 6

Number of children that did not buy popcorn = 15 - 6 = 9

Number of adults that bought popcorn = 41

Number of adults that did not buy popcorn = 65 - 41 = 24

Total number of persons that bought popcorn = 41 + 6 = 47

Number of people that did not buy popcorn = 80 - 47 = 33

Total number of persons in the theatre = 65 + 15 = 80

a) The probability that a randomly selected person in the theater is a child or someone who bought popcorn.

Required probability

= (number of children or people that bought popcorn) ÷ (total number of people)

There 15 children, and 47 people that bought popcorn, but of the 47, there are still 6 children amongst them.

Hence, the number of children or people that bought popcorn = 15 + 47 - 6 = 56

Total number of people = 80

Required probability = (56/80) = 0.70

b) The probability that a randomly selected person is an adult or someone who did not buy popcorn.

Required probability

= (number of adults or people who did not buy popcorn) ÷ (total number of people)

There are 65 adults, and 33 people that did not buy popcorn, but of the 33, there are still 24 adults amongst them.

Hence, the number of adults or people who did not buy popcorn

= 65 + 33 - 24 = 74

Total number of people = 80

Required probability = (74/80) = 0.925

You are right and your friends are wrong.

Hope this Helps!!!

Answer:

Step-by-step explanation:

(3 x 9) + (5 + 8) + (33/3) = 51

   27   +     13    +    11     = 51

Answer:

51

Step-by-step explanation:

use PEMDAS

Answer:

42.43  [tex]cm^{2}[/tex]

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

[tex]Area\ of\ cirle=\pi r^{2}[/tex]

                      [tex]=\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571\ cm^{2}\\[/tex]

As here length an width both are 11 cm, we can say that this is a square.

[tex]Area\ of\ square=(Side)^{2}[/tex]

                         [tex]=11\times11=121\ cm^{2}[/tex]

Now, area of shaded region = Area of square - Area of circle

                                               = 121 - 78.571 = 42.429 [tex]cm^{2}[/tex]

Therefore, the area of the shaded region will be 42.43  [tex]cm^{2}[/tex]

Final answer:

The probability that both marbles chosen are blue is 1/6. This is calculated by multiplying the probability of drawing a blue marble on the first and second draws consecutively (4/9 × 3/8).

Explanation:

To calculate the probability that Lena chooses two blue marbles in a row from a bag containing 3 green, 2 red, and 4 blue marbles without replacement, we must consider two consecutive events. The probability of pulling one blue marble on the first draw is 4 out of 9, since there are 4 blue marbles out of a total of 9. After the first blue marble is drawn, there are now only 3 blue marbles left out of a total of 8 marbles (since one was not replaced). The probability of drawing a blue marble on the second draw is therefore 3 out of 8.

These two probabilities must be multiplied together to find the overall probability of both events occurring in sequence:

Probability of first blue marble = 4/9

Probability of second blue marble after the first is drawn = 3/8

Overall probability = (4/9) × (3/8) = 1/6

So, the probability that both marbles Lena chooses are blue is 1/6, which is already in its simplest form.

Answer:

A = 9.9648

Step-by-step explanation:

if the triangle is equilateral =>

P = 3L => L = 14.4/3 = 4.8

A = L²√3/4

= (4.8)²√3/4

= 23.04√3/4

= 5.76×1.73

= 9.9648

Answer:

the first part is distant outlier, i got the other two wrong tho :,(

Answer:

spread out from and larger

Step-by-step explanation:

hope it helps

Answer:

-10

Step-by-step explanation:

9^-8 x 9^-2 = a^b

We know that x^y * x^z = x^(y+z)

9^-8 x 9^-2 = 9^(-8+-2) = 9^(-10)

a= 9  

b = -10

Answer:

X = 48

Step-by-step explanation:

When you type sin(42) in your calculator it will give you something around 0.669.

If you try reverse sinus sin-1(0.669) it will give you 42.

Therefore you can say that:

Cos(x) = 0.669

So you can reverse the cos to get your answer

Cos-1(0.669) = 48

Or

Cos-1 (sin(42))

Answer: 625

Step-by-step explanation:

Do 5 to the third power, get the answer, and then multiply times 5 to get 625. Please mark this as the brainliest answer <3