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IceJOKER [234]
3 years ago
6

3. Aplica las propiedades de la potenciación de números enteros para simplificar cada una de las siguientes expresiones.

Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer:

Step-by-step explanation:

a)  (2³ · 2⁴)⁵ · (2⁷ · 2¹ · 2²)⁰ / (2³ · 2²) = (2⁷)⁵ · 1 / 2⁵ = 2³⁵ / 2⁵ = 2⁷

b) (((-6)²· (-6)⁴)³ / ((-2)² · 3²) · (-6)⁰ = ((6²· 6⁴)³ / (2²· 3²)  1 = (6⁶)³ / 6² = 6¹⁸ / 6² = 6¹⁶

c) (√81 / √9) · (3² / 3²) / 3² = (9 / 3) · 3²⁻² / 3² = 3 · 3⁰ / 3² = 3¹ / 3² = 1 / 3 = 3⁻¹

D) (√2 ·√3 ·√20) / √√625 = √6 · √20 / √25 = √6 · √5 · √4 / 5 = (2/5) √30

God is with you!!!

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The current year’s depreciation expense using the straight-line method and assuming only one depreciable property, is P20,000. W
denpristay [2]

Answer:

Machine's useful number of years = 9 years

Step-by-step explanation:

Using the straight line method, depreciation is calculated as the difference between the cost of the equipment minus the salvage value, all divided by the number of useful years.

Yearly Depreciation

= (Cost - Salvage value) ÷ (Number of useful years)

Yearly depreciation = P20,000

Cost = P200,000

Salvage Value = P20,000

Number of useful years = n

20000 = (200000 - 20000) ÷ n

20000 = (180000/n)

n = (180000/20000) = 9 years

Hope this Helps!!!

8 0
3 years ago
Explain on the next slide how in 3 hours the car wouldn't travel 160 miles.​
rosijanka [135]

Answer:

the car would have to be going under 5mph

Step-by-step explanation:

5 0
2 years ago
A gardener has a container with 6 1/5 ounces of liquid plant fertilizer on Sunday the gardener uses 2 1/2 ounces on a flower gar
sergey [27]
Amount of liquid plant fertilizer in the container that the gardener has = 6 1/5 pounds
                                                                                                               = 31/5 pounds
We already know that 1 pound = 16 ounce
Then
Amount of liquid plant fertilizer in the
container that the gardener has = (31/5) * 16 ounce
                                                    = 496/5 pounds                                                          
Amount of liquid plant fertilizer that the gardener uses on Sunday = 2 1/2 ounces
                                                                                                         = 5/2 ounces
Then
The amount of liquid plant fertilizer that are left= (496/5) - (5/2) ounces
                                                                           = (992 - 25)/10 ounces
                                                                           = 967/10 ounces
                                                                           = 96.7 ounces
So the total amount of liquid plant fertilizer left is 96.7 ounces.
4 0
3 years ago
The expression cosine of pi over 2 times cosine of pi over 3 plus sine of pi over 2 times sine of pi over 3 can be rewritten as
9966 [12]

Solution:

Given;

\cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}

Using the identities;

Thus;

\begin{gathered} \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{2}-\frac{\pi}{3}) \\  \\ \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{6}) \end{gathered}

CORRECT OPTION: A

6 0
1 year ago
UHHHHHHHHHHHH THIS IS EASY MATH WORK BUT I ONLY HAVE 2 BRAINCELLS THAT ARE SLOW SO JSJSJJSJJSJ HELP.
lesya692 [45]

Answer:

1,708

My browser has a tool for solving the area of trapezoids that I used. Hope this helps!

4 0
3 years ago
Read 2 more answers
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