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3 years ago

9

What is the 100th term in the pattern with the formula n+7

1 answer:

Anna [14]3 years ago

8 0

To find it, put 100 where n is in the formula and evaluate
.. n + 7
for n = 100
.. 100 +7
.. = 107

The 100th term is 107.

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3 years ago

. If α and β are the roots of

Lostsunrise [7]

Answer:

$18x^2+85x+18 = 0$

Step-by-step explanation:

<u><em>Given Equation is </em></u>

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

<em>Now, Finding the equation whose roots are:</em>

α/β ,β/α

Sum of Roots = $\frac{\alpha }{\beta } + \frac{\beta }{\alpha }$

Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

Sum of roots = $(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}$

Sum of roots = $\frac{49}{4} + 9 /\frac{-9}{2}$

Sum of Roots = $\frac{49+36}{4} / \frac{-9}{2}$

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<u><em>The Quadratic Equation is:</em></u>

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

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5 0

3 years ago

Read 2 more answers

The Bureau of Labor Statistics1 in the US tells us that, in 2010, the unemployment rate for high school graduates with no colleg

mars1129 [50]

Answer:

$p_1 -p_2 = 0.097-0.052 = 0.045$

So then the difference between the two proportions is 0.045 and if we convert this into % we got

$0.045*100= 4.5%$

Step-by-step explanation:

For this case we can define the following notation:

$p_1$ represent the unemployment rate for high school graduates with no college degree

$p_2$ represent the unemployment rate for college graduates with a bachelor's degree

And for this case we need to find the difference in proportions of those unemployed between these two groups, we want to find:

$p_1 -p_2$

From the info given we have $p_1 = \frac{9.7}{100}=0.097$

$p_2 = \frac{5.2}{100}=0.052$

And the difference:

$p_1 -p_2 = 0.097-0.052 = 0.045$

So then the difference between the two proportions is 0.045 and if we convert this into % we got

$0.045*100= 4.5%$

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3 years ago

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nikdorinn [45]

Answer:

1

Step-by-step explanation:

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