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Elis [28]
3 years ago
8

What is the 10th term in the pattern with the formula 5n+100?

Mathematics
1 answer:
postnew [5]3 years ago
4 0
Jusst plug in n = 10

so its 5(10) + 100  =  150
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Which expression shows (48 + 16) in the form of c(a + b) , where c is the greatest common factor of 48 and 16
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Find all complex solutions of 7x^2-7x+3=0
Sedaia [141]

Answer:

The complex solutions are

x =  (\frac{7-\sqrt{35}  i }{42} , ) x =  \frac{7 + \sqrt{35} i }{42})

Step-by-step explanation:

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

Given equation  7 x² - 7 x +3=0

                     x =  (\frac{-b -\sqrt{b^{2}-4ac } }{2ac} ,  \frac{-b +\sqrt{b^{2}-4ac } }{2ac})

Given standard equation

                         a x² +b x +c =0

 a = 7 , b= -7 and c=3

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

<u><em></em></u>x =  (\frac{-(-7) -\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)} ,  \frac{-(-7) +\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)})<u><em></em></u>

<u><em></em></u>x =  (\frac{7-\sqrt{(49-84 } }{42} ,  \frac{7 +\sqrt{(49-84 } }{42})<u><em></em></u>

x =  (\frac{7-\sqrt{35i^{2} }  }{42} ,  \frac{7 + \sqrt{35i^{2} }  }{42})

x =  (\frac{7-\sqrt{35}  i }{42} ,  \frac{7 + \sqrt{35} i }{42})

<u><em></em></u>

8 0
2 years ago
At Scobee Middle School, 35% of the seventh graders ride the bus to school. If there are 320 seventh graders, how many 7th grade
anzhelika [568]

Answer: 112 7th graders ride the bus .

Step-by-step explanation:

Given: The proportion of 7th graders ride the bus to school= 35% = 0.35  [to remove % we divide number by 100]

If there are 320 seventh graders, then the number of 7th graders ride the bus = 320 x (proportion of 7th graders ride the bus to school)

0.35 \times 320

= 112

Hence, 112 7th graders ride the bus .

6 0
3 years ago
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