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Paul [167]
2 years ago
5

Prove that the value of the expression (16^3–8^3)(4^3 +2^3) is divisible by 63.

Mathematics
1 answer:
Darya [45]2 years ago
7 0

Answer:

Step-by-step explanation:

16^3 - 8^3

Take out 8^3 as a common factor.

16^3 = 2^3 * 8^3

8^3(2^3 - 1)  

8^3(8 - 1) = 8^3 * 7

(4^3 + 2^3)     Expand

64 + 8            Combine

72

72 = 9 * 8

Conclusion

(8*3 * 7 )(9*8)

7*9 = 63

So any number containing 63 will divide into the reduced form of

(16^3–8^3)(4^3 +2^3)

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Im not smart for this
larisa [96]

Answer:

m/2

Step-by-step explanation:

You basically multiple the numerator and denominator by the conjugate, which would give you m/2.

if you get this wrong im sorry im not that smart either but i tried

5 0
3 years ago
In 1999, the share price for General Motors stock was $144 per share but has been declining at an average rate of 14% per year.
vodomira [7]

Answer:  $5.22  (in the year 2021)

========================================================

Explanation:

The year 2021 is 22 years after 1999 since

2021 - 1999 = 22

That means we'll plug x = 22 into the equation given to us

P = 144*(0.86)^x

P = 144*(0.86)^22

P = 5.21588994768589 which is approximate

P = 5.22 rounding to the nearest cent

The share price is about $5.22 in the year 2021.

This assumes that the 14% decline keeps happening year after year; however, in reality, stocks are more complicated and fluctuate more randomly if anything.

7 0
3 years ago
What is the mixed number of 45/40
Tasya [4]
1 5\40 there you go    
5 0
3 years ago
6. A pitcher has 16 cups of water in it. During the day, Aditi drank 5⁄2 cups, Kavitha drank 15⁄4 cups, and Rahul drank 33⁄8 cup
Crank

Answer:

A. Aditi 2 1/2 cups, Kavitha 3 3/4 cups, and Rahul 4 1/8 cups

Step-by-step explanation:

2*2=4 5-4=1      2 1/2

3*4=12  15-12=3       3 3/4

4*8-32  33-32=1     4 1/8

4 0
3 years ago
Use the following conditional:
neonofarm [45]

Answer:

a: a number is odd

Step-by-step explanation:

It uses the word IF

6 0
3 years ago
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