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3 years ago

Simplify the expression so there is only one positive power for each base. (5^-2 x 4^-4)^-2

Mathematics

2 answers:

aksik [14]3 years ago

8 0

I believe you can cancel the ^-2 and ^-4

giving you 5 x 4^2

Which is 5 * 16

Total of 80

Oliga [24]3 years ago

6 0

40960000 is the answer to the equation

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Initially a wheel rotating about a fixed axis at a constant angular deceleration of 0.5 rad/s 2 has an angular velocity of 0 rad

Zigmanuir [339]

Answer:

$\theta = 5.83\ rad$

Step-by-step explanation:

given,

angular deceleration, α = -0.5 rad/s²

final angular velocity,ω_f = 0 rad/s

angular position, θ = 6.1 rad

angular position at 3.9 s = ?

now, Calculating the initial angular speed

$\omega_f^2 = \omega_i^2 + 2 \alpha \theta$

$0 = \omega_i^2 - 2\times 0.5\times 6.1$

$\omega_i = \sqrt{6.1}$

$\omega_i = 2.47\ rad/s$

now, angular position calculation at t=3.9 s

$\theta = \omega_i t + \dfrac{1}{2}\alpha t^2$

$\theta =2.47\times 3.9 - \dfrac{1}{2}\times 0.5\times 3.9^2$

$\theta = 5.83\ rad$

Hence, the angular position of the wheel after 3.9 s is equal to 5.83 rad.

7 0

3 years ago

Which of these problem types can not be solved using the Law of Sines? SSS ASA AAS SAS

olya-2409 [2.1K]

SAS and SSS cannot be solved using the Law of Sines.

6 0

3 years ago

At the end of 8 years, Anna paid $400 interest for a loan. If the simple annual interest rate was 4%, how much did Anna borrow?

antiseptic1488 [7]

$1250

Use the formula i = prt

In this case, we don't know P or Principal amount

i = 400

r = .04 *found by diving 4/100*

n = 8

Set formula to solve for P like: P= i/r(n)

P=400/.04(8)

P= 400/.32

P = 1250

6 0

3 years ago

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Mrac [35]

I’m pretty sure the answer is -1

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3 years ago

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malfutka [58]

Unless told otherwise, the center ofrotation is the origin (0, 0).

8 0

2 years ago