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Dmitriy789 [7]
2 years ago
13

if the volume of the prism is represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the b

ase?
Mathematics
1 answer:
cricket20 [7]2 years ago
5 0
The volume of a prism is the product of the area of a the base and its height. Given the volume of the prism as 15x2 + x + 2 and the height as x2, the base can be expressed using this expressions. Volume = base x height. By substitution, <span>15x2 + x + 2  = (base) x (x2). Thus the answer is, base = (15x2 + x + 2)/x2 or base = 15 + (1/x) + (2/x2).</span>
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Answer:

0.54 ounces in each tube

Step-by-step explanation:

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In each represent the common form of each argument using letters to stand for component sentences, and fill in the blanks so tha
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Answer:

a

           a \to b

         \neg b

         \neg a

b

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2 is not odd.

Therefore, it is not the case that all prime numbers are odd.

Step-by-step explanation:

Considering part A

 The  first sentence is  

If all computer programs contain errors, then this program contains an error.

   The second sentence is

This program does not contain an error.

     The third  sentence is

Therefore, it is not the case that all computer programs contain errors.

Now we will use  a and  b  as the letter to denote the component sentences and   \neg a  and \neg b when the component sentences is not the case

So  a =  If all computer programs contain errors

and  

     b =  this program contains an error.

Generally then is represented as \to

Hence the first sentence is denoted as  

         a \to b

The  second sentence is represented as

            \neg b

The  third sentence is represented as

           \neg a

So part a can be represented as

      a \to b

         \neg b

         \neg a

Considering part B

Here the objective is to fill in the blank spaces so that the logic of the sentence in part b is as that in part a

    Now comparing the second statement  a and  b

                "This program does not contain an error" = "2 is not odd" = \neg b

Hence      "this program contains an error." =  "2 is  odd" =  b

     Now comparing the third  statement  a and  b

Therefore, it is not the case that all computer programs contain errors.  

                                                =

     Therefore, it is not the case that all prime numbers are odd  

                                                =

                                                \neg a

Hence

If all computer programs contain errors, = if all prime numbers are odd.= a                

             

             

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A.

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