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3 years ago

Which expression is equivalent to 5y^3/(5y)^-2

Mathematics

1 answer:

Serggg [28]3 years ago

6 0

Answer:

5^3 y^5

125 y^5

Step-by-step explanation:

5y^3/(5y)^-2

Distribute the exponent in the denominator

5y^3/(5 ^-2 y^-2)

A negative exponent in the denominator brings it to the numerator

5y^3 5 ^2 y^2

Combine like terms

5 * 5^2 * y^3 5^2

We know that a^b * a^c = a^(b+c)

5^(1+2) * y^( 3+2)

5^3 y^5

125 y^5

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Someone please help

KIM [24]

Answer:

Step-by-step explanation:

Exponential function representing final amount with compound interest compounded continuously,

$A=Pe^{rt}$

Here, A = Final amount

P = principal amount

r = Rate of interest

t = Duration of investment

For P = $9600

r = 6%

A = 2 × 9600 = $19200

By substituting these values in the formula,

$19200=9600(e)^{0.06\times t}$

$2=e^{0.06t}$

$ln(2)=ln(e^{0.06t})$

ln(2) = 0.06t

t = $\frac{0.693147}{0.06}$

t = 11.55245

t ≈ 11.5525 years

Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.

Therefore, $960000 will get doubled in 11.5525 years.

6 0

3 years ago

If one container holds 55 balls, how many balls will nine containers hold? A. 395 B. 455 C. 355 D. 495

vivado [14]

D, 495.

9 x 55 = 495, so nine containers can hold 495 balls.

3 0

3 years ago

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9,-7 with a translation of (x-8,y)

ryzh [129]

Answer:

The last part is not there

Step-by-step explanation:

7 0

2 years ago

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2^x + 2^-x =5/2 pls I need d. ans

yKpoI14uk [10]

Answer:

x= 1, -1

Step-by-step explanation:

6 0

3 years ago

What is the value of the expression |-5x+12| when x=5

MissTica

First, plug in 5 for x:

| -5 * 5 + 12 | = |-25 + 12| = |-13|

Those two lines are absolute value, which measures the distance from the number to 0 on a number line. This distance is always positive.

The distance from -13 to 0 on a number line is 13. The answer is 13.

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3 years ago

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Which expression is equivalent to 5y^3/(5y)^-2​

Which expression is equivalent to 5y^3/(5y)^-2