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Umnica [9.8K]
3 years ago
15

What is (-m)^-3n if m=2 and n=-24

Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0
((-m)^-3)*n


first we substitute in both "m" and "n" with their respective values.


((-(2)^-3))*(-24)


then use pemdas (order of operations) to solve


-(2^-3)*-24

-(1/(2^3)*-24

-(1/8)*-24

(1/8)*24

24/8=3


3 is the answer
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Lenght = 2x
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x^2+(2x)^2=6^2
x^2+4x^2=36
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Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How
Naddika [18.5K]

Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

x+y=42 ----> equation A

Frank has 6 more than half the number of cards as his friend

x=\frac{y}{2} +6 ---> equation B

Solve the system by substitution    

Substitute equation B in equation A

\frac{y}{2} +6+y=42

solve for y

\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24

<em>Find the value of x</em>

x=\frac{24}{2} +6=18

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

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Answer:

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Step-by-step explanation:

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