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Kipish [7]
3 years ago
6

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an op

en box may be made. if the cardboard is 17 in. long and 12 in. wide, find the dimensions of the box that will yield the maximum volume. (round your answers to two decimal places.)
Mathematics
1 answer:
liberstina [14]3 years ago
5 0
The maximum value that could be reached would be about 211.05 cubic inches.

The initial measurements of the box are:
Length: 17
Width: 12
Height: 0

Right now, the volume is zero. However, if we let the height equal 0 (the amount of the cut out), we can write the following equation for the volume.

Volume = (17 - 2x)(12 - 2x)x

If you graph this, you will find a maximum value of 211.05, keeping in mind that the cut out must be less than 6.
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Find the distance :
faltersainse [42]
1. You would do 45 × 3 = 135 miles
2. 630 ÷ 2 = 315. 630 + 315 = 945 miles
3. 54 × 11 = 594 miles

1. Time is distance ÷ speed, so 4760 ÷ 560 = 8 1/2hours
2. 27 ÷ 54 = 0.5 hours, or 30 minutes
3. 1748 ÷ 437 = 4 hours

I hope this helps!
4 0
3 years ago
Enter the solutions from least to greatest. (2x +4)(3x -2)=0
morpeh [17]

Answer:

From least to greatest: -2, 2/3

Step-by-step explanation:

Set each factor equal to 0 and solve

2x + 4 =0

2x = -4

x = -2

3x - 2 = 0

3x = 2

x = 2/3

The solutions are -2 and 2/3

7 0
3 years ago
Laura is a single taxpayer, she has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for
Kay [80]

Going by the information given above, Laura is most likely going to belong to the tax bracket where the rate payable is 12%. This is because she is a single filer and her income is between $10,276 and $41,775.

<h3>What is a tax bracket?</h3>

Tax brackets are a series of income and tax layers by which people are defined based on how much they earn per annum.

The tax rates range from 10% to 37%. The rate applicable to a person or group of persons depends on

  • whether or not they are single
  • If married, whether they are filing jointly; and
  • how much their annual income is subject to deductibles.

It is to be noted that a general answer was provided here due to insufficient details in the question.

Learn more about tax brackets at:

brainly.com/question/1615513

#SPJ1

6 0
2 years ago
Suppose each runner ran at the rate given in the table above for 3.1 miles. How much time will elapse between the first place fi
Scilla [17]
You didn't include the table but I found this table for the same statement, so I will answer you based on the next table:

Runner         distance           time

Arabella        7,299 feet        561 seconds
Bettina          3,425 yards     13 minutes, 12 seconds
Chandra       8,214 feet        0,195 hours
Divya            1,62 miles        732 seconds

To answer the question you must find the rate for each runner and then calculate the time to run 3.1 miles at each rate.

First you need to convert the data to obtain the rate in miles per second.

These are the main conversion identities:

1 mile = 5280 feet

1 mile = 1760 yards

1 hour = 3600 seconds

1 hour = 60 minutes

1 minute = 60 seconds

Arabella:

rate: 7,229 feet / 561 seconds * (1 mile / 5280 feet)  =

= 0.00244 mile/second

Time to run 3.1 miles: V = d / t => t = d / V = 3.1 miles / 0.00244 mile/second = 1270 seconds

Bettina:

13 minutes + 12 seconds = 13*60 seconds +12 seconds = 792 seconds

rate = 3425 yards / 792 seconds * 1 mile / 1760 yards = 0.00246 mile/seconds

Time to run 3.1 miles = 3.1 miles / 0.00246 mile/second = 1260 seconds

Chandra:

rate = 8214 feet / 0.195 hours * 1 mile / 5280 feet * 1hour / 3600 seconds =

= 0.00222 seconds

Time = 3.1 mile / 0.00222 seconds = 0.389 hour = 1396 seconds

Divya:

rate = 1.62 miles / 732 seconds = 0.00221 seconds

Time = 3.1 mile / 0.00221 seconds = 1403 seconds

Now you can find the difference between fhe last and the first 1403 seconds - 1260 seconds = 143 seconds

That is equivalent to 2.38 seconds.
6 0
3 years ago
The ratio of the area to the circumference is<br> A. 2r<br> B.r/2<br> C. 2/r
weqwewe [10]
It's nothing because e=mc^2
4 0
3 years ago
Read 2 more answers
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