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Bas_tet [7]
2 years ago
9

Dimensional Analysis Method (also called conversion factor or unit analysis) (Appendix D: Dimensional Analysis, Page 397) o The

dimensional analysis method uses equivalences written in _____________________ form. o Because the numerator and denominator of the fraction are equivalent, the value of the fraction is __________ o Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label) o In order for units to cancel they must be in _____________________________ of the fraction.
Mathematics
1 answer:
garik1379 [7]2 years ago
4 0

Answer:

The dimensional analysis method uses equivalences written in <u>fractional</u> form. Because the numerator and denominator of the fraction are equivalent, the value of the fraction is <u>1.</u> Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label). In order for units to cancel they must be in <u>the numerator and the denominator</u> of the fraction

Step-by-step explanation:

Dimensional analysis is a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication

Therefore, a fraction of two equivalent measurements but different units has a value of 1, and multiplying the equivalent fraction with another measurement with the same unit as the denominator of the fraction with a value of 1 changes the unit to that of the unit of the numerator

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The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x − 0.5x2. Recall that profit is rev
Brilliant_brown [7]

Answer:

x = 20

x = 140

Step-by-step explanation:

Find the equation for profit P

P = R - C

Substitute the equations for R and C then simplify.

P = 100x − 0.5x² - (20x + 700)

P = -0.5x² + 80x - 700

Find the values of x when profit is $700

P = -0.5x² + 80x - 700

700 = -0.5x² + 80x - 700

0 = -0.5x² + 80x - 1400

This is in the standard form 0 = ax² + bx + c

Use the quadratic formula to find values of x

x = \frac{-b±\sqrt{b^{2}-4ac}  }{2a}

(Ignore Â)

Substitute a b and c.

a = -0.5

b = 80

c = -1400

x = \frac{-(80)±\sqrt{80^{2}-4(-0.5)(-1400)}  }{2(-0.5)}

x = \frac{-80±60}{-1}

Split the formula at the ± so that there are two to get the two x values.

x = \frac{-80+60}{-1}

x = \frac{-80-60}{-1}

x = 20

x = 140

The profit will be $700 when x is 20 or when x is 140.

5 0
2 years ago
Help pls help plz help plz
ratelena [41]

Answer:

8

Step-by-step explanation:

(4+8)+6 = (6+4)+n

18 = 10+n

18-10 = n

n = 8

7 0
2 years ago
Before leaving to visit Mexico, levant traded 270 american dollars and received 3000 mexican pesos. When he returned from mexico
Makovka662 [10]
Levant will receive about 9 american dollars when he exchanges his pesos.

According to this question, 1 american dollar is worth about 11 pesos. In order to find that, you need to divide 3000/270 which gives you around 11. In order to find out how many dollars he will receive for his pesos, you need to divide 100 by 11 which gives you about 9 dollars.
4 0
2 years ago
Read 2 more answers
K is the midpoint of segment HL . H has coordinates (1, -7 ) , and K has coordinates(-9, 3 ). Find the coordinates of other end
Andrei [34K]

Answer:

Coordinates of other end point L = ( -19, 13 )

Explanation:

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 Here we have (a,b) = (1,-7) and (\frac{a+c}{2},\frac{b+d}{2}) = (-9,3) , we need to find (c,d).

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2 years ago
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So your answer is $29.50

Hope it helps! :D

6 0
2 years ago
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