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ruslelena [56]
3 years ago
7

2466.075 rounded to the nearest hundredth

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Answer:

2466.08

Step-by-step explanation:

in 2466.075 the hundreth value is the 7. Since 5 makes the number go up when rounding, it is 2466.08

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5/(6x-2)=-1/(x+1)
You have to multiply both sides by the denominators so it becomes:
5*(x+1)=-1*(6x-2)
5x+5=-6x+2
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What percent of 88 is 132
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\begin{array}{ccc}88&-&100\%\\132&-&p\%\end{array}\ \ \ \ |cross\ multiply\\\\\\88p=100\cdot132\ \ \ \ |divide\ both\ sides\ by\ 88\\\\p=\frac{13200}{88}\\\\\boxed{\boxed{p=150\ (\%)}}\leftarrow answer
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How do I do this problem I am stuck .
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3 years ago
A 15 kilogram object is suspended from the end of a vertically hanging spring stretches the spring 1/3 meters. At time t = 0, th
Yuri [45]

Answer:

15\frac{d^{2}y(t)}{dt^{2} }  - 441.45y(t) = ± 170 cos(5t)

y(0)=0, y'(0)=0

Step-by-step explanation:

See the attached image

This problem involves Newton's 2nd Law which is: ∑F = ma, we have that the acting forces on the mass-spring system are: F_{r} (t) that correspond to the force of resistance on the mass by the action of the spring and F(t) that is an external force with unknown direction (that does not specify in the enounce).

For determinate F_{r} (t) we can use Hooke's Law given by the formula F_{r} (t) = k y(t) where k correspond to the elastic constant of the spring and y(t) correspond to  the relative displacement of the mass-spring system with respect of his rest state.

We know from the problem that an 15 Kg mass stretches the spring 1/3 m so we apply Hooke's law and obtain that...

k = \frac{F_{r}}{y} = \frac{mg}{y} = \frac{15 Kg (9.81 \frac{m}{s^{2} } )}{\frac{1}{3} m}  = 441.45 \frac{N}{m}

Now we apply Newton's 2nd Law and obtaint that...

F_{r} (t) ± F(t) = ma(t)

F_{r} (t) = ky(t) = 441.45y(t)

F(t) = 170 cos(5t)

m = 15 kg

a(t) = \frac{d^{2}y(t)}{dt^{2} }

Finally... 15\frac{d^{2}y(t)}{dt^{2} }  - 441.45y(t) = ± 170 cos(5t)

We know from the problem that there's not initial displacement and initial velocity, so... y(0)=0 and y'(0)=0

Finally the Initial Value Problem that models the situation describe by the problem is

\left \{ 15\frac{d^{2}y(t)}{dt^{2} }  - 441.45y(t) = \frac{+}{} 170 cos(5t) \atop {y(0)=0, y'(0)=0\right.

6 0
3 years ago
Which choice is equivalent to the product below?
Brums [2.3K]

Answer: Choice A.   4\sqrt{7}

===================================================

Work Shown:

\sqrt{14}*\sqrt{8}\\\\\sqrt{(14)*(8)}\\\\\sqrt{(7*2)*(2*4)}\\\\\sqrt{7*(2*2)*4}\\\\\sqrt{7*4*4}\\\\\sqrt{4*4*7}\\\\\sqrt{4}*\sqrt{4}*\sqrt{7}\\\\2*2*\sqrt{7}\\\\4\sqrt{7}\\\\

5 0
3 years ago
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