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4 years ago

Simplify only using positive exponents (2t)^-6

1 answer:

6 0

To simplify, you need to distribute the -6 out into both the 2 and the t to get:

$2^{-6} * t^{-6}$

Now, if you only want positive exponents, you need to write the expression in this form:

$\frac{1}{ 2^{6}* t^{6} }$

Which would simplify to:

$\frac{1}{ 64t^{6}}$

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I do not get question 5.

RSB [31]

Answer:

Take the number shown and divided by 5000

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The equation d=11cos(8pi/5 t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the cente

charle [14.2K]

Answer:

The time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

Step-by-step explanation:

Given the equation

$d = 11cos( \frac{8\pi}{5}*t)$ -----------Equation 1

where d, in inches of the pendulum of a grandfather clock from the center.

Comparing with the standard equation of an oscillating pendulum bob.

$d = Acos (wt + \alpha )$ ----------Equation 2

where ω = angular velocity

t = time taken

α = The angular displacement when t = 0

Comparing equation 1 and 2,

α = 0

$w =\frac{8\pi }{5}$

Recall that $w = 2\pi fTherefore,[tex]2\pi f = \frac{8\pi }{5} \\\\f = \frac{4}{5}$ [/tex]

f = 0.8 Hertz

Recall that $f = \frac{1}{T}$

$T = \frac{1}{0.8}$

T = 1.25 seconds

Therefore, the time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

5 0

3 years ago

Read 2 more answers

Can you please help me.<br><br><br>c^2+d^2

serious [3.7K]

Answer:

c^2+d^2 is not solvable

Step-by-step explanation:

5 0

3 years ago

You start with one robot. Each moment this robot can either self-destruct, do nothing, make one copy of itself, or make two copi

IgorLugansk [536]

So there are 4 choices
1 destroys itself
1 does nothing
1 coppies itself
1 makes 2 coppies of itself

so 1 in 4 that is destroys itself in the first time
1 in 4 that is basically skips this turn
1 in 4 that is doubles itself
1 in 4 that you will have 3 robots

we can count the skip turn as nothing so
1 in 4 that is is destroyed
2 in 4 or 1/2 that is does not destory itself
so if it doubled itself, this makes it more complicated
if it tripples itself, this makes if even more complicate
not exactly sure what the correct answer is

4 0

3 years ago

the slope of line PQ is m= 1/4. find the equation of the line that is parallel to line PQ and that has the y intercept b= -3

nevsk [136]

For this case we have that the generic equation of the line is given by:
$y = mx + b
$
Where,
m: slope of the line
b: intersection with the y axis.
Since the line is parallel to PQ, then the slopes are equal.
We have then:
$m = 1/4.
$
On the other hand we have:
$b = -3
$
Substituting values we have:
$y = (1/4) x - 3$
Answer:
The equation of the line that is parallel to line PQ and that has the and intercept b = -3 is:
$y = (1/4) x - 3$

4 0

3 years ago