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leva [86]
3 years ago
14

Which statement is true about the measures of center of the practice times?

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0

Correct answer is C..................

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Given the position of the particle, what the position(s) of the particle when it’s at rest
choli [55]

The position function of a particle is given by:

X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t

The velocity function is the derivative of the position:

\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}

The particle will be at rest when the velocity is 0, thus we solve the equation:

2t^2-9t-18=0

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

Substituting:

\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}

We have two possible answers:

\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

undefined

6 0
1 year ago
3629 you can use the digits twice make the largest four digit number​
Alex Ar [27]

Answer:

9632

or

9966

Step-by-step explanation:

im not 100% sure

3 0
3 years ago
Can someone help me solve this integral plsss?<br><br><br> integral of (2xˆ3+3xˆ2+x)/(xˆ2+1) dx
MariettaO [177]
Ok done. Thank to me:>

5 0
3 years ago
Find the volume for each rectangular prism
Elden [556K]

Answer: 385 cm

Step-by-step explanation: V= l*w*h

V= 7*5*11

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6 0
3 years ago
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Pls help and show workings <br> Due ASAP
Tanya [424]

Answer:

ASA angle side angle

Step-by-step explanation:

DE=JH(given)

angle E= angle H (given)

angle D=angle J (given)

4 0
2 years ago
Read 2 more answers
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