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- 19,21,23 how do I find the point of discontinuity?If I have 4 classes today, and I spend 1 hour in each class (1st period 8:00-9:00, 2nd period 9:10-10:00, 3rd period 10:20-11:20, 4th period 11:30-12:30) but today we have a 2 hour late start. How long do I spend in each class?your natural gas bill is calculated as sum of the fixed monthly cost and a rate per therm of natural gas used. given a usage of 183 therms with a bill of $116.05 for this month and a usage of 129 therms with a bill of $85.80 for last month, determind the fixed monthly cost and rate of your bill with appropriate units.
- В 8 часа сутринта от град А за град В тръгнал велосипедист, който се движил със скорост 12 километра в час. Един час по-късно от В за А по същия път тръгнал велосипедист, чиято скорост била с 25% по- висока от тази на потеглилия от град А. До срещата първият велосипедист почивал 15 минути, а вторият - 20 минути. Като първият велосипедист е изминал 5 километра повече от втория, намерете разстоянието от А до Вᴜꜱɪɴɢ ᴛʜᴇ ᴛᴀʙʟᴇ ᴀʙᴏᴠᴇ, ᴄᴏᴍᴘᴀʀᴇ ᴛʜᴇ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇꜱ ᴡɪᴛʜ ᴇɪᴛʜᴇʀ ʀᴇᴍᴏᴛᴇ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇᴏꜰ ᴛʜᴇ ɢɪᴠᴇɴ ᴛʀɪᴀɴɢʟᴇꜱ ᴜꜱɪɴɢ <, >, ᴏʀ =.1. ɪɴ ∆ꜰᴍᴊ, ᴍ∠ꜰᴍʟ _____ ᴍ∠ꜰᴊᴍ.2. ɪɴ ∆ꜰᴍᴊ, ᴍ∠ꜰᴍʟ _____ ᴍ∠ᴍꜰᴊ.3. ɪɴ ∆ꜰᴍᴊ, ᴍ∠ꜰᴍʟ _____ ᴍ∠ꜰᴊᴍ + ᴍ∠ᴍꜰᴊ.4. ɪɴ ∆ꜰᴍᴊ, ᴍ∠xᴊᴍ _____ ᴍ∠ᴍꜰᴊ.5. ɪɴ ∆ꜰᴍᴊ, ᴍ∠ꜰᴍʟ _____ ᴍ∠ᴍꜰᴊ + ᴍ∠ᴊᴍꜰ.6. ɪɴ ∆ꜰᴍᴊ, ᴍ∠ꜰᴍʟ _____ ᴍ∠ᴊᴍꜰ.7. ɪɴ ∆ᴀʙᴄ, ᴍ∠ᴀʙᴅ _____ ᴍ∠ᴀ.8. ɪɴ ∆ᴀʙᴄ, ᴍ∠ᴀʙᴅ _____ ᴍ∠ᴄ.9. ɪɴ ∆ᴀʙᴄ, ᴍ∠ᴀʙᴅ _____ ᴍ∠ᴄ + ᴍ∠ᴀ.10. ɪɴ ∆ᴀʙᴄ ᴀɴᴅ ∆ꜰᴍᴊ, ᴍ∠ᴀʙᴅ _____ ᴍ∠ꜰᴍʟDetermine the uncertainties in x2 and y2 using the rule for propagating uncertainties when multiplying two numbers. x=80, y=60, ∆x= ∆y=5.
- A diabetic patient needs at least 40 units of Vitamin A, at least 30 units of Vitamin C and at least 30 units of Vitamin E each day. Each brand X multivitamin capsule contains 4 units of A, 6 units of C and 2 units of E; each brand Y capsule contains 5 units of A, 3 units of C and 5 units of E. If eachbrand X capsule costs Php 6.00 and each brand Y costs Php 9.00, how many capsules should the patient take each day to minimize the cost?Here are the countries with the five highest estimated costs of software piracy: United States ($9.1 billion), China ($8.7 billion), India ($2.7 billion), France ($2.1 billion), United Kingdom ($1.9 billion). Among these five countries, the United States has 37.1% of the cost of piracy. Is it correct to conclude that the United States has 37.1% of the total cost of piracy for all countries? What do these results tell us about the costs of piracy in the other countries not included here?A forest consists of two types of trees: those that are 0-5 ft and those that are taller than 5 ft. Each year, 40% of all 0-5-ft tall trees die, 10% are sold for $10 each, 30% stay between 0 and 5 ft, and 20% grow to be more than 5ft. Each year, 50% of all trees taller than 5ft are sold for $40, 20% are sold for $20, and 30% remain in the forest (continue growing). If a tree (less than 5 ft) is planted, what is the expected revenue earned from that tree ? Select one:a. $11.22b. $19.80c. $14.16d. $17.44e. $16.34f. $15.51