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Molodets [167]
3 years ago
15

Tiffany's mother bought a car for $9000 five years ago. She wants

Mathematics
1 answer:
liraira [26]3 years ago
8 0

Answer:

I would say the answer would be 1350 because 15 percent of $9000 would be 1350

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Is (0,0) a solution of the system y>x and x+y>0?
olga55 [171]
Plug the values (x,y)=(0,0) into the inequalities:

y\ \textgreater \ x \\
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not \ true \\ \\
x+y\ \textgreater \ 0 \\
0+0\ \textgreater \ 0 \\
0\ \textgreater \ 0 \\
not \ true

0 isn't greater than 0, no (0,0) is not a solution to either of these inequalities.

The answer is D.
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Answer:

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CALCULUS: For an object whose velocity in ft/sec is given by v(t) = sin(t), what is its distance, in feet, travelled on the inte
rodikova [14]

The linked answer is wrong because that integral gives you the net displacement of the object, not the total distance.

To get the distance, you have to integrate the speed (as opposed to velocity), which involves integrating the absolute value of the velocity function.

\mathrm{distance} = \displaystyle\int_1^5 |\sin(t)| \,\mathrm dt

By definition of absolute value,

|\sin(t)|=\begin{cases}\sin(t)&\text{for }\sin(t)\ge0\\-\sin(t)&\text{for }\sin(t)

Over this particular integration interval,

• sin(<em>t</em> ) ≥ 0 for 1 ≤ <em>t</em> < <em>π</em>, and

• sin(<em>t</em> ) < 0 for <em>π</em> < <em>t</em> ≤ 5

so you end up splitting the integral at <em>t</em> = <em>π</em> as

\mathrm{distance} = \displaystyle\int_1^\pi \sin(t)\,\mathrm dt + \int_\pi^5 (-\sin(t))\,\mathrm dt

Now compute the distance:

\mathrm{distance} = -\cos(t)\bigg|_1^\pi + \cos(t)\bigg|_\pi^5

\mathrm{distance} = -(\cos(\pi) - \cos(1)) + (\cos(5) - \cos(\pi))

\mathrm{distance} = -2\cos(\pi) + \cos(1) + \cos(5) \approx 2.82

making B the correct answer.

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3 years ago
Which one of the following is considered a quantitative variable?
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What is the value of sin20sin30sin40sin80.
Ilya [14]
1,-1,1,-1 is your answer
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