- Fasttasks 2 46 – The Troubleshooting Approximate Error
- Fasttasks 2 46 – The Troubleshooting Approximate Square
- Fasttasks 2 46 – The Troubleshooting Approximate The Number
- Fasttasks 2 46 – The Troubleshooting Approximate Quantity
?: I’ve heard of “FastTasks” before, but it wasn’t this app.
I’ve been developing FastTasks on and off since late 2012. It first started out as a Bash script that would let me run a number of different Terminal commands just by choosing a number from a menu (that Bash script is still available here, and works fine on 10.8).
I’ve been developing FastTasks on and off since late 2012. It first started out as a Bash script that would let me run a number of different Terminal commands just by choosing a number from a menu (that Bash script is still available here, and works fine on 10.8).
The result was FastTasks 2 (available here; works on 10.9 and later). ?: What’s behind the choice of tasks? In all these iterations, my main motivation was to produce something because I had need of it. I wrote FastTasks because I use the tasks it offers on a regular basis. The velocity v(t) is increasing for 0 ≤ t ≤ 12. At t=0 the velocity is 27. At t=3 the velocity is 28. At t=6 the velocity is 32 At t=9 the velocity is 36 At t=12 the velocity is 38 Find an upper estimate for the total distance traveled using n = 4 and n = 2 subdivisions. Find a lower estimate for the total distance traveled using n = 4.
I then started thinking that I could do a better job of it in AppleScript, but I soon realized that I really needed AppleScript-Objective C to give it a more usable interface. The result of that was the first FastTasks app, which is currently at 1.18 (available here; works on 10.6 thru 10.9 and later). I have no plans to continue development of that, but I will support current users on systems up to 10.9.3.
In 2014, I decided to re-write it in Cocoa (although much of that Cocoa is still calling the tasks via AppleScript and Bash commands through OSAScript, NSAppleScript and NSTask). I also wanted to turn it into a status bar app as that seemed to fit its rationale (speed) better than a lengthy-launching window-based app. The result was FastTasks 2 (available here; works on 10.9 and later).
Fasttasks 2 46 – The Troubleshooting Approximate Error
?: What’s behind the choice of tasks?
In all these iterations, my main motivation was to produce something because I had need of it. I wrote FastTasks because I use the tasks it offers on a regular basis. I admit that it’s a bit of an eclectic bunch of tasks, but there is some logic to it.
In all these iterations, my main motivation was to produce something because I had need of it. I wrote FastTasks because I use the tasks it offers on a regular basis. I admit that it’s a bit of an eclectic bunch of tasks, but there is some logic to it.
Originally, the tasks were all largely things that I would do in Terminal, and FastTasks began as an attempt to take the toil out of Terminal; in other words, to save myself the time and effort of memorising syntactically complex shell commands.
As the app has developed over time in response to my own needs and interests, it’s moved very much toward troubleshooting. That’s because I do a lot of beta testing of other people’s software (including pre-releases of OS X), and because I used to have a heavy presence on Apple Support Communities, helping people solve problems with their macs.
Those experiences have taught me a lot about what things cause a mac to misbehave, and the “where and how” of finding the culprits and solutions. The choice of tasks in FastTasks 2 continues to reflect what I have learned and continue to learn as the mac, OS X and 3rd-party software (both good and bad) continue to evolve.
?: So, it’s free now, but for how long?
Having originally written the code for my own use, it always seemed obvious to offer it to others who had a similar need. With FastTasks 2, I did think about commercializing it at one point. However, Apple’s App Store restrictions more or less put the brakes on that. I continue to debate the pros and cons of offering a “lite” and a “pro” version, but at the moment, I do not have any plans to commercialize FastTasks 2 as my time and effort in terms of daily bread involve developing other software projects.
Having originally written the code for my own use, it always seemed obvious to offer it to others who had a similar need. With FastTasks 2, I did think about commercializing it at one point. However, Apple’s App Store restrictions more or less put the brakes on that. I continue to debate the pros and cons of offering a “lite” and a “pro” version, but at the moment, I do not have any plans to commercialize FastTasks 2 as my time and effort in terms of daily bread involve developing other software projects.
- Problems 9.11 9.19 9.20 9.23 9.26 9.28. Assuming isentropic flow, if the rocket thrust is 2 MN, estimate (a) the exit velocity; and (b) the mass flow of hydrogen.
- Solve these problems using graphical linear programming and answer the questions that follow. Use simultaneous equations to determine the optimal values of the decision variables. Maximize Z = 4 x 1 + 3 x 2. Material 6 x 1 + 4 x 2 ≤ 48 lb. Labor 4 x 1 + 8 x 2 ≤ 80 hr. Maximize Z = 2 x 1 + 10 x 2.
There is a ‘Donate’ button in the ‘Preferences’ panel for regular users who feel moved to offer financial gratitude :). Hopefully, that’ll be sufficient to keep me in coffee and snacks between the bread-and-butter of other work.
Thanks and enjoy.
▶︎ Download Page…
Follow @sqwarq on Twitter
Estimating products by rounding numbers to the nearest ten, hundred, thousand etc., we know how to estimate the sum, difference, etc., to the nearest 10, 100, 1000, etc. Now we have to estimate the products.
In order to estimate products, we round the given factors to the required place value. Estimating products help us to check the reasonableness of an answer.
To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens, hundreds, or thousands and then multiply the rounded numbers.
I. Estimate the products of 34 and 86.
34 ⟶ 30 34 is rounded down to 30
34 ⟶ 30 34 is rounded down to 30
86 ⟶ 90 86 rounded up to 90
34 ⟶ 30 86 ⟶ 90 | 34 is rounded down to 30 86 rounded up to 90 |
Calculate mentally 30 × 90 = 2700
The estimated product is 2700.
II. Estimate the products of 331 and 267 by rounding to the nearest hundred.
331 ⟶ 300
267 ⟶ 300
300 × 300 = 90000
The estimated product is 90000.
Consider the following examples on estimating products: Etrecheck pro 5 2.
1. Estimate the product: 42 × 57
Solution:
Solution:
4 2 → 4 0
× 5 7 → × 6 0
2 4 0 0
× 5 7 → × 6 0
2 4 0 0
Thus estimated product = 2400
2. Estimate the product: 47 × 84
Solution:
Solution:
4 7 × 8 4 47 is rounded up to 50
↓ ↓
5 0 × 8 0 84 is rounded down to 80
= 4 0 0 0
↓ ↓
5 0 × 8 0 84 is rounded down to 80
= 4 0 0 0
The estimated product = 4000
3. Estimate the product: 74 × 85
Solution:
3. Estimate the product: 74 × 85
Solution:
7 4 × 8 5 74 is rounded up to 80
↓ ↓
7 0 × 9 0 85 is rounded down to 90
= 6 3 0 0
↓ ↓
7 0 × 9 0 85 is rounded down to 90
= 6 3 0 0
6300 is the estimated product
4. Estimate the product: 358 × 326
Solution:
One number is rounded up and the other is rounded down. Here 358 is rounded up to the nearest hundred, i.e., 400 while 326 is rounded down to the nearest hundred, i.e., 300.
Solution:
One number is rounded up and the other is rounded down. Here 358 is rounded up to the nearest hundred, i.e., 400 while 326 is rounded down to the nearest hundred, i.e., 300.
3 5 8 × 3 2 6 358 is rounded up to 400
↓ ↓
4 0 0 × 3 0 0 326 is rounded down to 300
= 1 2 0 0 0 0
↓ ↓
4 0 0 × 3 0 0 326 is rounded down to 300
= 1 2 0 0 0 0
120000 is the estimated product
5. Estimate the following product by rounding numbers to the nearest;
(i) Hundred
(ii) Ten ‘341 × 267’
Solution:
(i) Hundred
(ii) Ten ‘341 × 267’
Solution:
(i) 3 4 1 × 2 6 7 341 is rounded up to 300
↓ ↓
3 0 0 × 3 0 0 267 is rounded down to 300
= 90,000 & The estimated product is 90,000
↓ ↓
3 0 0 × 3 0 0 267 is rounded down to 300
= 90,000 & The estimated product is 90,000
(ii) 3 4 1 × 2 6 7 341 is rounded down to 340, the nearest ten
↓ ↓
3 4 0 × 2 7 0 267 is rounded up to 270, the nearest ten
= 91,800 The estimated product is 91,800
↓ ↓
3 4 0 × 2 7 0 267 is rounded up to 270, the nearest ten
= 91,800 The estimated product is 91,800
Questions and Answers on Estimation in Multiplication:
1. Find the estimated product for each of the given. First one is done for you.
Answers:
(b) 70 × 40, 28000
(c) 300 × 100, 30000
(d) 200 × 200, 40000
(e) 700 × 200, 140000
(f) 500 × 400, 200000
(g) 900 × 500, 450000
(h) 3000 × 200, 600000
2. Choose the best estimate and tick the right answer.
Fasttasks 2 46 – The Troubleshooting Approximate Square
I. A shopkeeper has 92 packets of chocolates. If each packet has 37 chocolates, then how many chocolates are there in the shop.
(i) 3600 (ii) 4000
II. A museum has 219 marble jars. Each jar has 178 marbles. What is the total number of marbles in the museum?
Fasttasks 2 46 – The Troubleshooting Approximate The Number
(i) 40000 (ii) 50000
III. There are 76 houses in a locality. Each house uses 278 units of electricity each day. How many units of electricity is used each day in the locality?
(i) 24000 (ii) 30000
IV. A hotel has 18 water tanks and each tank has the capacity of 4089 litres of water. What is the total quantity of water that can be stored by the hotel?
(i) 80000 (ii) 16000
Answers:
I. (ii)
II. (i)
III. (ii)
IV. (i)
Related Concept
● Addition
● WordProblems on Addition
● Subtraction
● Checkfor Subtraction and Addition
● WordProblems Involving Addition and Subtraction
● EstimatingSums and Differences
● Find theMissing Digits
● Multiplication Cod waw remastered 2020.
● Multiplya Number by a 2-Digit Number
● Multiplicationof a Number by a 3-Digit Number
● Multiply a Number
● Estimating Products
● WordProblems on Multiplication
Fasttasks 2 46 – The Troubleshooting Approximate Quantity
● Multiplicationand Division
● Terms Used inDivision
● Divisionof Two-Digit by a One-Digit Numbers
● Divisionof Four-Digit by a One-Digit Numbers
● Divisionby 10 and 100 and 1000
● Dividing Numbers
● Estimatingthe Quotient
● Divisionby Two-Digit Numbers
● WordProblems on Division
4th Grade Math Activities
From Estimating Products to HOME PAGE
From Estimating Products to HOME PAGE
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.Didn't find what you were looking for? Or want to know more informationaboutMath Only Math.Use this Google Search to find what you need.