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Trava [24]
3 years ago
13

Which expression is equivalent to ^3√x^5y?a)x5/3b)x5/3y1/3c)x3/5 yd)x3/5 y3​

Mathematics
1 answer:
Illusion [34]3 years ago
7 0

Answer:

(x^5y)^{\frac{1}{3}}= x^{\frac{5}{3}} \times y^{\frac{1}{3}}

Step-by-step explanation:

We are given our expression as

\sqrt[3]{x^5y}

The property of exponent says that

\sqrt[n]{x} =x^{\frac{1}{n}}

Hence

\sqrt[3]{x^5y}= (x^5y)^{\frac{1}{3}}

Another property says

(ab)^n=a^n \times b^n

Hence

(x^5y)^{\frac{1}{3}}= x^{\frac{5}{3}} \times y^{\frac{1}{3}}

Hence option B is correct.

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What is the range for the possible side length AB of ABC?
julia-pushkina [17]

Answer:

2 < AB < 18

Step-by-step explanation:

5 0
2 years ago
Which function is the inverse of f(x)=9x-3
DIA [1.3K]
F^-1(x)= x/9 + 1/3

To find this, just interchange the variables and solve for y.

y=9x-3
x=9y-3
x+3=9y
divide by nine
3 0
3 years ago
) A coin collection consisting of pennies, dimes, and quarters totals 45 coins. The number of
Sloan [31]

9514 1404 393

Answer:

  $7.14

Step-by-step explanation:

Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.

  p + d + q = 45 . . . . . . . . there are 45 coins in the collection

  2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies

  p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies

Substituting the last two equations into the first gives ...

  p +(p +4) +(2p +5) = 45

  4p = 36 . . . . . . . . . . . . . subtract 9

  p = 9 . . . . . . . . . . . divide by 4

  d = 9 +4 = 13

  q = 2(9) +5 = 23

The value of the collection is ...

  23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14

The coin collection is worth $7.14.

5 0
3 years ago
2/5,1.4,1/3,0.5 in least to greatest
Jobisdone [24]
 1/3 2/5 0.5 1/4 here is ur answer



8 0
3 years ago
Read 2 more answers
HELP for (ii)…..how do we find a?
Mariana [72]

By using the information given on the graph, we can see that a = 3.

<h3>How to find the value of a?</h3>

Here we have an exponential of the form:

y = p*a^x

And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:

4 = p*a^0\\\\36 = p*a^2

From the first equation we get that p = 4, replacing that on the second one we get:

36 = 4*a^2\\\\36/4 = 9 = a^2\\\\\sqrt{9} = 3 = a

So we conclude that a = 3.

If you want to learn more about exponential equations:

brainly.com/question/11832081

#SPJ1

7 0
2 years ago
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