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Luda [366]
3 years ago
13

A pack of gum is in the shape of a rectangular prism with a length of 8 centimeters and a width of 2 centimeters. The volume of

the pack of gum is 48 cubic centimeters. What is the height of the pack of gum?
Mathematics
1 answer:
sasho [114]3 years ago
3 0

Answer:

32

Step-by-step explanation:

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Use induction to prove that 2? ?? for any integer n&gt;0 . Indicate type of induction used.
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Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

    2^{n}>n

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

      2^{k}>k

                   ---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement  is true for, n=k+1.

     \rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

      2^{k}>k

                 

   

3 0
3 years ago
A chest of drawers has 2 smaller drawers that are 351 square inches on the bottom and 5 inches deep. It has 3 larger drawers tha
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Answer:

2 smaller drawer volume is 3510

3 larger drawer volume is 7371

Total is 10881

Step-by-step explanation:

2 small drawers volume is 2×351×5

Since base area (l×b)is 351 and depth/height is 5 also 2 because there are two drawer 3 larger drawer with base area as 351 and depth/height as 7 so volume is 351×7×3 3because three drawers

4 0
3 years ago
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