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Gnom [1K]
4 years ago
9

Select the true statement about the series, ¾ + 7/8 + 11/12 + 15/16…

Mathematics
1 answer:
Minchanka [31]4 years ago
3 0
\dfrac34+\dfrac78+\dfrac{11}{12}+\dfrac{15}{16}+\cdots=\displaystyle\sum_{n\ge1}\frac{4n-1}{4n}

We have

\displaystyle\lim_{n\to\infty}\frac{4n-1}{4n}=\dfrac44=1\neq0

which means the sum diverges.
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Determine if the equations are intersecting, parallel, or coincident.
aleksandrvk [35]
Since bx does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting bx from both sides. 
<span>-ay=-bx+2 </span>
<span>ax+by=3 </span>

<span>Divide each term in the equation by -1a. </span>
<span>y=(bx-2)/(a) </span>
<span>ax+by=3 </span>

<span>Divide each term in the numerator by the denominator. </span>
<span>y=(bx)/(a)-(2)/(a) </span>
<span>ax+by=3 </span>

<span>The equation is not linear, so the slope does not exist. </span>
<span>No slope can be found. </span>
<span>ax+by=3 </span>

<span>Since ax does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting ax from both sides. </span>
<span>No slope can be found. </span>
<span>by=-ax+3 </span>

<span>Remove the common factors that were cancelled out. </span>
<span>No slope can be found. </span>
<span>y=-(ax)/(b)+(3)/(b) </span>

<span>Divide each term in the equation by b. </span>
<span>No slope can be found. </span>
<span>y=(-ax+3)/(b) </span>

<span>Divide each term in the numerator by the denominator. </span>
<span>No slope can be found. </span>
<span>y=-(ax)/(b)+(3)/(b) </span>

<span>The equation is not linear, so the slope does not exist. </span>
<span>No slope can be found. </span>
<span>No slope can be found. </span>

<span>Compare the slopes (m) of the two equations. </span>
<span>m1=, m2= </span>

<span>The equations are parallel because the slopes of the two lines are equal.  
</span>FROM YAHOO ANSWER
6 0
3 years ago
How many different ways can 3 singers be selected from 5 who came to an audition
abruzzese [7]

This is known as "5 take 3", where ordering is not important.

\binom{5}{3} = \frac{5!}{3!(5-3)!} = \frac{120}{6\cdot2} = 10

5 0
3 years ago
5) –3x – 3y=3<br> -5x + 2 y = 19
larisa86 [58]

Answer:

x=31

Step-by-step explanation:

-3x-3(19)=3-5x+2

2x-57=5

2x=62

x=31

4 0
3 years ago
Read 2 more answers
In a survey of 1000 social-media account holders aged 18 years and older conducted by a certain organization, it was found that
Artyom0805 [142]
We are given with
n = 1000
p = 0.78

Samples = 10
Condition = at most 7 have one or two social media accounts

We can use combinations to solve the problem
P = ∑10Ci (0.78)^i (1-0.78)^(10-i)/ 1000C10 from i from 0 to 7
Solve for P
6 0
3 years ago
Please help &gt; _ &lt; Show your work and eplain
san4es73 [151]
Alternate exterior means opposite sides of the transversal and outside the parallel lines... angles 1, 2, 5, 6 are all outside the parallel lines.. now you just need to match up the ones that are on opposite sides... 1 and 5 are opposite sides and 2 and 6 are opposite sides.. so those two pairs are the alternate exterior angles.. since 2 and 6 isn't a choice and 1 and 5 is, then there is your answer.
8 0
3 years ago
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