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daser333 [38]
3 years ago
12

The missing number in the arithmetic sequence 60, 51, ___, 33 is:

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

Answer:

42

Step-by-step explanation:

In this question, we have the find the rate of change in the sequence.

To find this, we need to find how much the sequence is changing by.

We know from 60 to 51 is -9, so we know that our sequence is changing by -9.

To find our unknown number, we would subtract 9 from 51.

51 - 9 = 42

Our missing number in the sequence is 42.

We can check our answer by subtracting 9 from 42. This gives us our next number, which is 33.

42 would be your answer.

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What is the value of b?<br> please help
Feliz [49]

Answer: ok

Step-by-step explanation:

3 0
3 years ago
At the end of a​ party, 3/4 cup of dip is left. Jim divides 4/7 of the leftover dip equally between 2 friends. How much dip does
Vesnalui [34]

Answer:

First, we need to find the amount of dip that was divided amount the two friends.

We know that it is 4/7 of the left dip  

therefore:

amount divided among the two friends = (4/7) x (3/4) = 3/7 of the original amount of dip.

This amount is divided among two friends,

therefore:

amount that each friend gets = (3/7) / (2) = 3/14 = 0.2 of the amount of dip

tell me if this is completely wrong because i'm not good at this

7 0
3 years ago
Order these numbers for lest to greatest 1/2 ,1.1 ,5/3 ,2, 0 ,0.4, -2 ,5/8
Nat2105 [25]

The least number should always start off with negatives if there are any. In this case there is so we can start with -2 as our least amount. Next are the small fractions. If you're allowed a calculator, I would use that to find what the decimals will look like for each fraction:

\frac{1}{2} =0.5\\ \\ \frac{5}{3} =1.6666666666666666666666666666667\\ \\ \frac{5}{8} =0.625

After -2 the next least number is 0 and the next one is the fraction or decimal closest to the number 0 which is 0.4

The next number would be from the fractions we solved earlier. 0.5 and 0.625 would follow 0.4 and then 1.1 and 1.6667(solved for from fraction).

Here is the list:

-2,0,0.4,\frac{1}{2} ,\frac{5}{8} ,1.1,\frac{5}{3}

Hope this helps!


6 0
3 years ago
What is 2 divided by 7
andrew11 [14]

Answer:

:)

Step-by-step explanation:

0.28571429

7 0
3 years ago
Read 2 more answers
Please see attachment
Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536  

b) which is attained at   x = \frac{1}{\sqrt{2} }  

Step-by-step explanation:

<u>Step(i)</u>:-

Given function

                       f(x) = \frac{-x}{2x^{2} +1}     ...(i)

Differentiating equation (i) with respective to 'x'

                     f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2}  }   ...(ii)

                    f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2}  }

Equating Zero

                   f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2}  } = 0

                 \frac{2x^{2}-1}{(2x^{2}+1)^{2}  } = 0

                2 x^{2}-1 = 0

               2 x^{2} = 1

             x^{2}  = \frac{1}{2}

             x = \frac{-1}{\sqrt{2} }  , x = \frac{1}{\sqrt{2} }

<u><em>Step(ii):</em></u>-

Again Differentiating equation (ii) with respective to 'x'

f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4}  }

put

      x = \frac{1}{\sqrt{2} }

f^{ll} (x) > 0

The absolute minimum value at   x = \frac{1}{\sqrt{2} }

<u><em>Step(iii):</em></u>-

The value of absolute minimum value

                         f(x) = \frac{-x}{2x^{2} +1}

                       f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}

         on calculation we get

The value of absolute minimum value = - 0.3536      

<u><em>Final answer</em></u>:-

a) The value of absolute minimum value = - 0.3536  

b) which is attained at   x = \frac{1}{\sqrt{2} }    

3 0
3 years ago
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