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Ulleksa [173]
4 years ago
9

Choose the correct simplification of the expression (8x2)3.

Mathematics
2 answers:
UNO [17]4 years ago
7 0
Simplify the expression and you get 512x^6.
Hope this helps.
REY [17]4 years ago
3 0

Answer:

( 8x²)³ =  512 x^{6}.

Step-by-step explanation:

Given : ( 8x²)³.

To find : simplification.

Solution : We have given that ( 8x²)³.

We can write it (8)³ * (x²)³.

⇒ 512 x^{6}.

Therefore,  ( 8x²)³ =  512 x^{6}.

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If a circle has radius 10 cm, find the length of the arc subtended by a central angle of 36°.
snow_lady [41]
Angle =  36 degrees  =  \frac{\pi}{180} \times 36  = \pi / 5

now, radius =  10 cm

so arc =  radius x angle  =  10 x pi/5  =   2pi  = 6.28 cm
3 0
3 years ago
How many minutes is 22 hours
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22 hours * 60 minutes = 1320 minutes.
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A car is purchased for $28,000. After each year, the resale value decreases by
Dennis_Churaev [7]
\bf \qquad \textit{Amount for Exponential Decay}\\\\
A=I(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &28000\\
r=rate\to 35\%\to \frac{35}{100}\to &0.35\\
t=\textit{elapsed time}\to &3\\
\end{cases}
\\\\\\
A=28000(1-0.35)^3\implies A=28000(0.65)^3\implies A=7689.5
\\\\\\
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8 0
3 years ago
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7 0
3 years ago
A rocket is launched from atop a 75 foot cliff with an initial vertical velocity of 107 feet per second. The height of the rocke
satela [25.4K]

The distance of the rocket hitting the ground is 715.56 feet in 6.68 seconds

<u>Explanation:</u>

Given:

Height, h = 75 foot

Initial velocity, u = 107 foot/sec

Equation:

h = -16t² + 107t + 75

Substituting the equation:

75 = -16t² + 107t + 75

0 = -16t² + 107t

16t² = 107t

t = 6.6875s

We know:

Distance = speed X time

d = 107 f/s X 6.6875s

d = 715.56 foot

Therefore, the distance of the rocket hitting the ground is 715.56 feet in 6.68 seconds

3 0
3 years ago
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