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professor190 [17]
3 years ago
8

Find the difference and express the answer in scientific notation. 0.00541 - (9.7 x 10-2) A) -9.159 x 10-2 B) -4.29 x 10-2 C) 4.

44 x 10-1 D) 4.44 x 10-3
Mathematics
1 answer:
OleMash [197]3 years ago
6 0
It is A.-9.159×10-2
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-4(11x+2)=80<br> Solve for x
jek_recluse [69]

Answer: x=-2

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-4(11x+2)=80         [distribute]

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4 years ago
The motion of a ship riding at anchor can be modeled by y=25-4 cos (pi/6)t, where y is the water depth in feet and t is the time
balandron [24]

Answer: 29 feet (deepest) at 6 am

              21 feet (shallowest) at Midnight & Noon

<u>Step-by-step explanation:</u>

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Amplitude (A) = 4    

-A means it is a reflection over the x-axis (starts at minimum)<em> </em>

Period = 2π/B   →  Period = 12

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Max: 25 + 4 = 29

Min: 25 - 4 = 21

Change the coordinates of y = cos (x) as follows:

  • x-value: Add C then divide by B
  • y-value: Multiply by A then add D

Note that the equation shows: A = -4, B = π/6, C = 0, D = 25

\begin{array}{c|ccc|cl}\underline{\quad x\quad}&\underline{\quad y\quad}&&\underline{\quad (x+C)/B\quad}&\underline{\quad Ay+D\quad}\\0&1&&0&21&minimum\\\pi&0&&3&25&midline\\\pi &-1&&6&29&maximum\\3\pi/2&0&&9&25&midline\\2\pi&1&&12&21&minimum\\\end{array}

5 0
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