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sleet_krkn [62]
3 years ago
12

Which expression is equivalent to (4g3h2k4)3

Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer:

d) 8g^{6}h^{4}  k^{12}  - (h^{25} k^{15} )

      \frac{(4g^{3} h^{2}k^{4} )^{3}  }{8g^{3}h^{2}  } - (h^{5} k^{3} )^{5}    = 8g^{6}h^{4}  k^{12}  - (h^{25} k^{15} )

Step-by-step explanation:

<u><em>Explanation</em></u>

Given expression

           =     \frac{(4g^{3} h^{2}k^{4} )^{3}  }{8g^{3}h^{2}  } - (h^{5} k^{3} )^{5}

By using

        (ab)ⁿ = aⁿbⁿ

         \frac{a^{m} }{a^{n} } = a^{m-n}

   =     \frac{(4)^{3} g^{9} h^{6}k^{12} )  }{8g^{3}h^{2}  } - (h^{5} k^{3} )^{5}

After simplification , we get

  = 8g^{9}g^{-3} h^{6} h^{-2} k^{12}  - (h^{5} k^{3} )^{5}

 = 8g^{9-3}h^{6-2}  k^{12}  - (h^{5} k^{3} )^{5}

= 8g^{6}h^{4}  k^{12}  - (h^{25} k^{15} )

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Olivia received a $700 signing bonus when she accepted a job as a nurse. If she makes $24 an hour, which equation models Olivia'
yan [13]
<span> y = 24x + 700 would be an accurate answer

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6 0
3 years ago
Read 2 more answers
What value of x is in the solution set of 2x – 3 &gt; 11 – 5x?
pochemuha

Given:

2x -3 > 11 -5x

Simplify both sides:

2x - 3 > -5x + 11

Add 5x to both sides:

2x - 3 +5x > -5x + 11 +5

7x - 3 > 11

Add 3 to both sides:

7x - 3 +3 > 11 + 3

7x > 14

Divided 7 to both sides:

\frac{7x}{7} > \frac{14}{7}

x > 2

4 0
3 years ago
Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.)
soldier1979 [14.2K]
A= 3
b= 4

=3.14(a^2 + ab)
substitute the given a & b values in expression

=3.14((3)^2 + (3*4))
multiply inside parentheses

=3.14(9 + 12)
add inside parentheses

=3.14(21)
multiply

=65.94


ANSWER: 65.94

Hope this helps! :)
8 0
3 years ago
Find the sum of the sequence. 45+46+47+48+...+108
Anna11 [10]
We know, S = n/2 [ a + l ]
Here, a = 45
l = 108

Calculation of n:
a(n) = a + (n - 1)d
108 = 45 + (n - 1)1
108 - 45 = n - 1
63 + 1 = n
n = 64

Now, substitute in the expression:
S = 64/2 [ 45 + 108 ]
S = 32 [ 153 ]
S = 4896

In short, Your Answer would be 4896

Hope this helps!
7 0
3 years ago
Read 2 more answers
NEED HELP! ASAP! 50 POINTS!
Lerok [7]

Answer:

y=13\text{ miles per gallon}

Step-by-step explanation:

We have the two points: (0, 11) and (3, 50).

And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.

In simple terms, we want to find the slope between the two points.

So, let's use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:

y=\frac{50-11\text{ miles}}{3-0\text{ gallons}}

Subtract and reduce:

y=39\text{ miles}/3\text{ gallons}=13\text{ miles per gallon}

And we're done!

6 0
3 years ago
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