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Greeley [361]
4 years ago
5

Which expression is equivalent to (3^4 • 5^4)^-3

Mathematics
1 answer:
maks197457 [2]4 years ago
6 0

3^4*5^4 = (3*5)^4 = 15^4

Raise this to the exponent -3 and we get

(3^4*5^4)^(-3) = (15^4)^(-3) = 15^(4*(-3)) = 15^(-12)

The last step is to use the rule

x^(-k) = 1/( x^k )

So,

15^(-12) = 1/( 15^12 )

<h3>The answer is actually choice C</h3>

It seems like Tania multiplied all the exponents to get 4*4*(-3) = 16*(-3) = -48, but you only multiply the inner and outer exponents together as I did when I went from (15^4)^(-3) to 15^(-12)

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Ramon is playing a game in which he must pull two blocks out of a bag containing red and yellow blocks. He cannot look, and he c
Nimfa-mama [501]
A) \frac{x(x+4)}{(2x+4)(2x+3)}
B) 1/4 = 25%
C) 1/8 = 12.5%

Explanation
A) Let x = the number of yellow blocks.  Then x+4 = the number of red blocks, and x+x+4=2x+4 is the total number of blocks.

The probability of choosing a red block first would be
\frac{x+4}{2x+4}
since there are x+4 red blocks out of 2x+4 total blocks.

The probability of choosing a yellow block after the red block would be 
\frac{x}{2x+4-1}=\frac{x}{2x+3}
since there are x yellow blocks, and after 1 is chosen, there are 2x+3 total blocks remaining.

This gives the total probability of 
\frac{x+4}{2x+4}\times \frac{x}{2x+3}=\frac{x(x+4)}{(2x+4)(2x+3)}

B) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a red block first would be 10/16, and the probability of getting a yellow block after the red block would be 6/15.  Together this gives us
10/16(6/15) = 60/240 = 1/4 = 0.25 = 25%

C) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a yellow block first is 6/16, and the probability of getting a second yellow block after the first one is 5/15.  Together this gives us
6/16(5/15) = 30/240 = 1/8 = 0.125 = 12.5%
6 0
3 years ago
Which equation shows the commutative property of addition?
anygoal [31]

Answer:

4+3=3+4

Step-by-step explanation:

The commutative property of addition says that, the order in which you add two real numbers does not matter.

Let a,b\in \mathbb R, then

a+b=b+a

From the given options;

4+3=3+4

shows the commutative property of addition

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4 years ago
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vampirchik [111]

Answer: the answer is 1.2 greater

Step-by-step explanation:

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3 years ago
What is the measure of angle WZY in the given figure?
Mnenie [13.5K]

Answer:

I'm also trying to figure this out, but I know that the answer isn't 40.

Step-by-step explanation:

8 0
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Option D. is the correct choice.

Step-by-step explanation:

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