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Advantages

ANSWERS TO MULTIPLE CHOICE QUESTIONS

1 ) Using a calculator to grow the length by width provides raw response of 6783 m 2, but this answer should be rounded to contain the same number of signiﬁcant ﬁgures as the least appropriate factor in the merchandise. The least exact factor is the length, which will contains both 2 or 3 signiﬁcant ﬁgures, based on whether the walking zero is signiﬁcant or perhaps is being applied only to track down the fraccion point. Supposing the length is made up of 3 signiﬁcant ﬁgures, solution (c) appropriately expresses the area as 6. 78 × 10 a few m installment payments on your However , if the length contains only two signiﬁcant ﬁgures, answer (d) gives the accurate result since 6. almost 8 × twelve 3 meters 2 . Equally answers (d) and (e) could be literally meaningful. Answers (a), (b), and (c) must be useless since quantities can be added or deducted only if they have the same proportions. According to Newton's second law, Force = mass × speeding. Thus, the units of Force must be the product with the units of mass (kg) and the devices of speeding ( m s two ). This yields kilogram ⋅ meters s two, which is response (a). The calculator gives an answer of 57. 573 for the sum in the 4 given numbers. Yet , this quantity must be curved to 49 as succumbed answer (d) so the volume of decimal places in the result is the same (zero) as the number of fraccion places inside the integer 15 (the term in the total containing the tiniest number of fraccion places). The mandatory conversion has by: ⎛ 1 500 mm ⎞ ⎛ 1 . 00 cubitus ⎞ h = ( 2 . 00 m ) ⎜ ⎟⎜ ⎟ sama dengan 4. forty-nine cubiti ⎝ 1 . 00 m � ⎝ 445 mm � This effect corresponds to response (c). 6. The offered area (1 420 feet 2 ) contains 3 signiﬁcant ﬁgures, assuming that the trailing actually zero is used only to locate the decimal point. The conversion of this value to sq meters is given by: 1 ) 00 meters ⎞ two 2 two A sama dengan (1. 40 × 15 3 foot 2 ) ⎛ ⎜ ⎟ = 1 . thirty-two × 15 m sama dengan 132 meters ⎝ a few. 281 foot � Remember that the result includes 3 signiﬁcant ﬁgures, just like the number of signiﬁcant ﬁgures in the least accurate aspect used in the calculation. This result matches answer (b). 7. You can not add, subtract, or equate a number pears and many days. Thus, the answer is yes for (a), (c), and (e). Yet , you can grow or separate a number of pears and several days. For example , you might split the number of oranges by a length of time to ﬁnd the number of apples you could take in per day. To conclude, the email address details are (a) yes, (b) simply no, (c) yes, (d) not any, and (e) yes. a couple of

2 .

3.

4.

a few.

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Part 1

8.

The offered Cartesian coordinates are by = −5. 00, and y = 12. 00, with the least accurate made up of 3 signiﬁcant ﬁgures. Remember that the speciﬁed point (with x < 0 and y > 0 ) is in the second quadrant. The conversion to polar runs is then given by: r sama dengan x two + con 2 = ( −5. 00 ) + (12. 00 ) = 13. 0 2 2

tan θ sama dengan

y doze. 00 = = −2. 40 back button −5. 00

and θ = color −1 ( −2. 45 ) = −67. 3° + 180° = 113°

Note that 180° was added in the last stage to produce a second particular angle. The best answer is therefore (b) (13. zero, 113°). 9. Doing dimensional analysis within the ﬁrst 5 given selections yields: (a)

[ v]

⎡t ⎤ ⎣ ⎦

2

sama dengan

LT T = three or more T2 T

(b)

[ v]

⎡x2 ⎤ ⎣ ⎦

=

LT sama dengan L−1T −1 L2

(c)

⎡ versus 2 ⎤ ( D T )2 L2 T 2 L2 ⎣ ⎦= = = 3 Capital t T To [t ]

(d)

⎡ v a couple of ⎤ ( L Capital t )2 L2 T a couple of L ⎣ ⎦= = = two L L T [ x]

Seeing that acceleration offers units of length divided by period squared, it is seen the relation succumbed answer (d) is consistent with an expression containing a value pertaining to acceleration. twelve. The number of gallons of fuel she can purchase is # gallons sama dengan total costs 33 Pounds ≈ expense per gallon ⎛ Euros ⎞ ⎛ 1 T ⎞ ⎟ ⎜ 1 ) 5 ⎟⎜ L � ⎜ 1 quart ⎟ ⎝ ⎝ � ≈ 5 gal

⎛ four quarts ⎜ ⎜ you gal ⎝

⎞ ⎟ ⎟ �

so the accurate answer is usually (b). 11. The situation defined is proven in the attracting at the correct. h Using this, observe that tan 26° =, or forty-five m h = ( 45 m ) color 26° sama dengan 22 m 26

they would

Thus, the best answer can be (a). 12.

45 meters

Note that we might write 1 ) 365 248 0 × 10 7 as...