Take a square sheet of paper 20 cm by 20 cm, cut identical squares from each corner, and fold up the flaps to make a box (without a lid). What is the volume of the box? What different volumes can you make by varying the size of the squares you cut of?

Task: what is the maximum possible volume of this type of box that can be made from a 20 cm by 20 cm square of paper?

Answers

Answer 1

The maximum possible volume of this type of box that can be made from a 20 cm by 20 cm square of paper is 512cm³.

How to calculate the volume?

From the information, when the side of 1cm are cut, this will become an open box. The volume will be:

= 18 × 18 × 1

= 324cm³

Also, when 2cm is cut, the volume will be:

= 16 × 16 × 2

= 512cm³

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Related Questions

To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.

Answers

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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draw angle EFG of size 42 degreees

Answers

Angle EFG is an angle with a measure of 42 degrees is drawn below.

Given that, angle EFG= 42 degrees.

Angle EFG is an angle with a measure of 42 degrees. To draw angle EFG, first draw a line segment and mark two points on the line segment. Label the two points E and F. Then, using a protractor, measure out an angle with a measure of 42 degrees from the line segment EF, starting from point E. Finally, mark the end of the angle as point G.

Therefore, angle EFG is an angle with a measure of 42 degrees is drawn below.

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draw angle EFG of size 42 degreees

The Question Is Inside the picture

The Question Is Inside the picture

Answers

Answer:

1,000.00

Step-by-step explanation:

The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100

Answers

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

(ASAP I HAVE 20 MINS LEFT) The surface area of the rectangular prism is _____in2 and the volume is ____in3

(ASAP I HAVE 20 MINS LEFT) The surface area of the rectangular prism is _____in2 and the volume is ____in3

Answers

Answer:

1)1920 in2  (2)120 in3

Step-by-step explanation:

The ratio of meerkats to monkeys in a zoo is 5: 12.
There are 10 meerkats in the zoo. How many monkeys are there?

Answers

There are 24 monkeys
There are 24 monkeys as 10/24=5/2 or 5:2

The account title are:

No journal entry required, cash, accounts receivable, office supplies, prepaid rent, prepaid insurance, office equipment, accumulated depreciation - office equipment, accounts payable, notes payable, unearned revenue, common stock, dividends, services revenue, utilities expense.


Please help me

The account title are: No journal entry required, cash, accounts receivable, office supplies, prepaid

Answers

Answer:

Cash                                                 107000

Office equipment                              30500

     Common stock                                                     137500

do 5, square root 50 and 5 equal a right trisangle

Answers

Answer:

no it can't cause a trisangle is equal to 180

Step-by-step explanation:

5√50

= 25√5

The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y ≤ −2x + 10 y > 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 A B J H

Answers

The points which represents a the solution are: A, C, D and K

What are coordinates?

Coordinates can be defined as the ordered pairs in which it is used to locate any points in 2D.

The given inequalities:  y ≤ −2x + 10 & y > 1/(2x − 2)

The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),

F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).

The attached figure represents the graph of the given inequalities.

The shaded area represents the solution of the inequalities.

So, the points lies in the shaded area represents the solution of the inequalities.

So, points A, C, D and K are a solution to the system of inequalities.

Note only if

If the given inequalities:  y ≤ −2x + 10 & y > (1/2x) - 2

It will be the same solution.

Hence, The  points A, C, D and K are a solution to the system of inequalities.

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Use your calculator to work out
17.5? – 106
(7.2 + 1.092
Write down all the figures on your calculator display.

Answers

Answer:

1) -88.5

2) 8.292

Step-by-step explanation:

17.5 - 106 = -88.5

7.2 + 1.092 = 8.292

PLEASE HELP ME PLSSSSSSSSZZ

PLEASE HELP ME PLSSSSSSSSZZ

Answers

Answer:

The answer is 5.

Step-by-step explanation:

Use order of operations. Parentheses come first, so I will compute what is in parentheses first. 11-3 is 8. Then, division comes next. I will divide 8 by 2 to get 4. Lastly, add 1 to get 5.

Charity is ordering a sundae at a restaurant, and the server tells her that she can have up to five toppings: chocolate chips, butterscotch sauce, strawberries, a cherry, and hot fudge. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Charity gets just chocolate chips and a cherry? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer:

1/31 = 0.0323 probability that Charity gets just chocolate chips and a cherry.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Number of subsets in a set of n elements:

The number of subsets in a set of n elements, including the empty set, is given by:

\(2^{n}\)

Up to five toppings:

Up to five toppings means that the total number of possibilities is:

\(T = 2^{5} - 1 = 32 - 1 = 31\)

We subtract one to disconsider the option with no toppings.

What is the probability that Charity gets just chocolate chips and a cherry?

Chocolate chips and cherry is 1 subset, so \(D = 1\)

The probability is:

\(p = \frac{D}{T} = \frac{1}{31} = 0.0323\)

1/31 = 0.0323 probability that Charity gets just chocolate chips and a cherry.

-9x - y = -14
-2x + y = 3

Answers

Answer: x  =  1  ,  y  =  5

Step-by-step explanation:

Please help. Can someone please give me a short answer
I’ll mark brainliest whoever gets this right.

Please help. Can someone please give me a short answerIll mark brainliest whoever gets this right.

Answers

The circumference of a circle is equal to \(\pi\) times the length of the diameter of the circle (\(\pi\) is a constant which is approximately equal to 3.14).

A soil analysis of a lawn determines that 50 pounds of fertilizer containing 20% nitrogen is needed. How can this mixture be made from two different fertilizers, one containing 15% nitrogen and the other containing 24% nitrogen?​

Answers

Answer:

77

Step-by-step explanation:

what is 82 times 0.3 /a is 246 /b is 24.6 /c is 2.46

Answers

Answer:

24.6

Step-by-step explanation:

Answer:

24.6

Step-by-step explanation:

82 times 3 is 246.

Remember your decimal mark.

24.6

Expression equivelent to 2/5 divided by 6

Answers

Answer:

1/15

Step-by-step explanation:

(2/5)/6 = 2/(5*6) = 2/30 = 1/15

Graph that line with slope -1 passing through the point (-2,4)

Answers

Answer:

To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:

y - 4 = -1(x - (-2))

Simplifying this equation, we get:

y - 4 = -x - 2y = -x + 2

Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.

GRAPHICAL REPRESENTATION:

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Graph that line with slope -1 passing through the point (-2,4)

Jenna is buying four new shirts at $20 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending?

20 times 4 = 80

20/4 = 80

4 times 20 = 80

20 + 20 + 20 + 20 =80

Answers

Answer:

20/4

Step-by-step explanation:

Because that would mean 20 divided by 4 which wouldn't accumulate to 80

Evaluate the expression (2x + 5)2 -3x at the value x = -1

Answers

Answer:

2

Step-by-step explanation:

Let f(x) = x ^ 2 g(x) = sqrt(x - 1) and h(x) = 2x + 3 Express each function k as a composite of two out of these three functions.

k(x) = sqrt(x ^ 2 - 1)

Answers

We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

How to express k(x) as a composition?

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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PLEASE ANSWER FAST

Find the square root of 16.
O a
-4
Ob
4
Ос
+4
Od
-8

Answers

the square root of 16 is 4

Answer:

the square root of 16 is 4

Need help with this







!!!!!!!!!!

Need help with this!!!!!!!!!!

Answers

Answer: x > 2

Step-by-step explanation:

Answer:

here the given question is higher level

A satellite orbits the Earth at a height of 343 kilometers. If the satellite makes 8 revolutions around the Earth, how many kilometers does it travel? (Earth's diameter is 6371 kilometers.) Use 3.14 as the approximate value of pi .

Answers

The number of kilometres travelled by the satellite in discuss in which case, the satellite makes 8 revolutions around the earth is; C = 177,271.8 km.

What is the distance in kilometres covered by the satellite after 8 revolutions?

Given from the task content, the earth's diameter is; 6371 km and since, the height at which the satellite orbits the earth is; 343km, it follows that the diameter of orbit if the satellite in discuss is;

D = 6371 + (343)×2

Hence, we have; diameter, D = 7057 km.

Hence, the distance travelled after 8 revolutions is;

C = 8 × πd

C = 8 × 3.14 × 7057

C = 177,271.8 km.

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help me please!!!!!!!!!

help me please!!!!!!!!!

Answers

Answer:

a. 5

b. 36

c. 1/3

d. 1/6

Step-by-step explanation:

a. The answer is five because 9 people bike and 4 people walk and 9-4 is equal to 5

b. The is answer is 36 because 12 people walked, 9 people biked, 4 people walked, 6 people used a motorcycle and 5 people used a cab and 12+9+4+6+5=36

c. The answer is 1/3 because 12 people walked to school and there are 36 people in the class so 12/36 people walked to school, which can be simplified to 1/3.

d. The answer is 1/6 because 6 people used a motorcycle to go school and there are 36 people in the class so 6/36 people used a motorcycle which is equal to 1/6

The carrying capacity of a drain pipe is directly proportional to the area of its cross- section. If a cylindrical drain pipe can carry 36 litres per second, determine the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second.​

Answers

Step-by-step explanation:

Let's start by using the formula for the volume of a cylinder:

V = πr^2h

where V is the volume of the cylinder, r is the radius of the cylinder, h is the height of the cylinder, and π is a mathematical constant (approximately equal to 3.14).

Since we are dealing with a drain pipe, we can assume that the height of the cylinder is fixed and does not change. Therefore, we can rewrite the formula as:

V = πr^2h = Ah

where A is the cross-sectional area of the cylinder.

Now, let's use the given information that the drain pipe can carry 36 litres per second. We know that the volume of water that passes through the pipe in one second is equal to 36 litres. We can therefore write:

36 = Ahv

where v is the velocity of the water flowing through the pipe. Since we are assuming that the height of the cylinder is fixed, we can simplify this equation to:

36 = Av

Now we need to determine the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second. Let's call the new diameter d2 and the old diameter d1. We can set up a proportion to solve for d2:

A1/A2 = d1^2/d2^2

We know that A1 and A2 are proportional to the volumes of water the pipe can carry, so we can write:

A1/A2 = 36/60

Simplifying this equation, we get:

A1/A2 = 3/5

Substituting in the formula for the cross-sectional area of a cylinder, we get:

πd1^2/4 / πd2^2/4 = 3/5

Simplifying further, we get:

d1^2/d2^2 = 3/5

Taking the square root of both sides, we get:

d1/d2 = sqrt(3/5)

Now we can solve for d2:

d2 = d1 / sqrt(3/5)

We want to know the percentage increase in the diameter, which we can find using the formula:

% Increase = (New Value - Old Value) / Old Value x 100%

Substituting in our values, we get:

% Increase = (d1 / sqrt(3/5) - d1) / d1 x 100%

Simplifying, we get:

% Increase = (1 / sqrt(3/5) - 1) x 100%

Using a calculator, we get:

% Increase ≈ 34.64%

Therefore, the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is approximately 34.64%.

In how many ways can the letters of the word CARPET be arranged

Answers

Answer: In so many ways ;

acre cape care carp cart cate pace pact pare part pate pear peat pert prat race atrapt rate reap race tape tare tarp tear tepatrap

ace act ape apt arc are art ate cap car cat cep ear eat era pack par pat pea pec per pet rap rat rec rep ret tap tar tea

And so on .

Answer:

720

Explanation:

you would be using permutation i believe

because carpet has 6 letters you have six placement options

_x_x_x_x_x_

if you can only use the letters once

you can put all letters in p1

so 6x_x_x_x_x_

but because of that you would only be able to put all but one in p2 and one less than p2 in p3 going all the way to 1 in the last

so 6x5x4x3x2x1

i might be wrong but this has worked for me

15. Construct Arguments Maggie said that
she could add 8 to both sides of any
equation and the expressions on both sides
of the equation would still be equal. Do you
agree? Explain.

Answers

Answer:

I do not agree because if there is an equation like 7+8 the answers would not be equal. They can only be equal if you add 8 to each side of the same number. For example, 7+7 with 8 added on both sides would be equal. But Maggie says that it can be equal for any equation. Therefore, Maggie is wrong.

Step-by-step explanation:

Explain why the two figures show equivalent graphs. Then draw a third equivalent graph.
B
G
K
M
Why are the two graphs equivalent? Select all that apply.
A. The graphs have a number of edges that matches the number of vertices.
B. The graphs have the same number of edges.
C. The vertices are connected in the same way.
D. The graphs have the same number of vertices.

Answers

The two figures show equivalent graphs because:

A. The graphs have several edges that match the number of vertices.

B. The graphs have the same number of edges.

C. The vertices are connected in the same way.

D. The graphs have the same number of vertices.

The third equivalent graph is at option D.

What are equivalent graphs?

The graphs that have the same number of vertices connected in the same way are called equivalent graphs. If they are connected in the same way then their count of edges will be the same for both graphs. They are also said to be isomorphic graphs.

Calculation:

The given graphs have
Graph1: vertices BCJK

Graph2: vertices BCJK

So, there is the same number of vertices for both graphs.

The connection between the vertices:

Graph1: J - B - C - K - B

Graph2: J - B - C - K - B

So, they are connected in the same way.

The edges formed by these vertices:

Graph1: JB; BC; CK; KB

Graph2: JB; BC; CK; KB

So, there is the same number of edges for both graphs.

Here the number of edges = the number of vertices i.e., (4 = 4)

From all these comparisons, the given graphs are equivalent.

The third equivalent graph made from these graphs is at option D in the diagram attached below.

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Disclaimer: The given question is incomplete. There is no image attached in the given question. Here the image is attached.

Explain why the two figures show equivalent graphs. Then draw a third equivalent graph.BGKMWhy are the

A train travels 2,000 miles in 40 hours ,going the same distance each hour .how many miles does the train travel each hour

Answers

Answer:

50

Step-by-step explanation:

2000/40=50

Answer:

The train travels 50 miles per hour

Step-by-step explanation:

You can solve this by dividing 2,000 by 40.

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