Write down the general zeroth order linear ordinary differential equation. Write down the general solution.
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The zeroth derivative of a function is simply the function itself, so the zeroth order linear ODE takes the general form
whose solution is .
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Which of the following numbers is divisible by 2,3,5,6,9 and 10?
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Answer:
x=4
Step-by-step explanation:
4^3=64
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Answer:
1. 11 3/4
2. 29 7/16
3. 21 3/8
Step-by-step explanation:
The numbers against the longest marks are the integer portion of the measurement. Tapes that measure inches are marked this way, so we'll presume these are inch measurements. (There is nothing in your picture indicating the unit of measure.)
Each interval between two inch marks is divided into 16 equal parts. The marks get progressively shorter for 1/2, 1/4, 1/8, and 1/16 units. As you would expect, the mark halfway between the numbers is at 1/2 unit, or 1/2 inch more than the smaller of the two integers. The next shorter mark midway in the space between the 1/2 mark and the integers marks 1/4 unit. As you know 1/2 of 1/2 is 1/4. The second-shortest mark is at intervals of 1/8 either side of the 1/4 and 1/2 marks.
Equivalent fractions for numbers of 16ths also give you a clue as to how to read this.
integer inches . . . longest mark
1/16 = 1/16 . . . shortest mark
2/16 = 1/8 . . . second shortest mark
3/16 = 3/16
4/16 = 1/4 . . . third shortest/longest mark
5/16 = 5/16
6/16 = 3/8 . . .second shortest mark
7/16 = 7/16
8/16 = 1/2 . . . second longest mark
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1. The middle mark between 11 1/2 and 12 is 11 3/4, so that is the measure indicated here.
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2. The smallest mark is 1/16 less than 1/2, so is 7/16 more than 29. The measure shown is 29 7/16.
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3. The second smallest mark is 2/16=1/8. This amount less than 21 1/2 (or more than 21 1/4) is 21 3/8.
_____
While it is common for inch rulers to be divided into 16ths, some specialty rulers have other divisions. Engineering rulers may be divided into 10ths, 20ths, 30ths, 40ths, 50ths, and 60ths (6 scales). Architectural rulers are divided in such a way as to make certain scale factors easy to read. It is not uncommon for the first inch or two to be divided into much smaller divisions, 100ths or 64ths or 32nds, for example.
cross multiplication.
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3. sum of number X and Y subtracted from their products.
4. workings pls
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Answer:
a) 5 - mn
Step-by-step explanation: its correct
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Based on the available information, and options in the question, the total change in the gift card balance after 3 weeks is option A. -$17.61
What is Evaluation in Mathematics?
Evaluation in Mathematics is a method that is used to find the value of the expression when the variable is replaced by a given number.
In this case, to find the total change in the gift card balance after 3 weeks, calculate the total amount spent on gourmet coffee during this period.
Given that Sonia purchases a $5.87 gourmet coffee each week the total amount spent on coffee after 3 weeks can be calculated as follows:
Total amount spent = cost per coffee * number of weeks
= $5.87 * 3
= $17.61
Therefore, Sonia will have spent a total of $17.61 on gourmet coffee after 3 weeks, which will be $-17.61 of the top change in the gift card.
Hence, in this case, it is concluded that the correct answer is option A. -$17.61
Learn more about Evaluation in Mathematics here: brainly.com/question/4344214
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Full Options
A. -$17.61
B. $1.96
C. $18.61
D. $8.97
Answer:
$17.61
Step-by-step explanation:
5.87 x 3= $17.61 because it is each week
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The unit rate would be gallons per minute.
Divide total gallons by total minutes:
42/8 = 5.25
Unit rate = 5.25 gallons per minute