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lys-0071 [83]
3 years ago
13

Simplify (x^3)^5 please

Mathematics
2 answers:
Svetllana [295]3 years ago
8 0
Answer = x^15

Because if indices are in brackets you just multiply them together ie 3 x 5
victus00 [196]3 years ago
7 0
The answer is x^15 I hope this helped
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johnny has 27 buttons. he gives away b buttons. choose the expression that shows the number of buttons johnny has left. b,27,bpl
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27-b because you are taking away
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Please Help! Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined,
Licemer1 [7]

Answer:

<u>Given:</u>

  • g(t) = 5t² − 8t + 3

Find the following

<u>g(2)</u>

  • g(2) = 5(2²) - 8(2) + 3 = 20 - 16 + 3 = 7

<u>g(t - 2) </u>

  • g(t - 2) = 5(t - 2)² - 8(t - 2) + 3 = 5t² - 20t + 20 - 8t + 16 + 3 = 5t² - 28t + 39

<u>g(t) - g(2)</u>

  • g(t) - g(2) = 5t² − 8t + 3 - 7 = 5t² − 8t - 4
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2 years ago
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A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
nalin [4]

Answer:

C is the right answer

Step-by-step explanation:

Hope it helps

4 0
2 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.

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2 years ago
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For the first marble would be: 2/11

For the second: 3/11

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2 years ago
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