Which of the following answer choices is a solution to

Mathematics

1 answer:

KiRa [710]3 years ago

4 0

Answer: a=-4

Step-by-step explanation:

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The population of a local species of dragonfly can be found using an infinite geometric series where a1=42 and the common ratio

san4es73 [151]

$\bf \textit{sum of an infinite geometric serie}\\\\
\stackrel{for~~|r|\ \textless \ 1}{S=\sum\limits_{i=0}^{\infty}~a_1r^i\implies \cfrac{a_1}{1-r}}\qquad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=42\\
r=\frac{3}{4}
\end{cases}
\\\\\\
S=\cfrac{42}{1-\frac{3}{4}}\implies S=\cfrac{42}{\frac{1}{4}}\implies S=164$

bearing in mind that, the geometric sequence is "convergent" only when |r|<1, or namely "r" is a fraction between 0 and 1.

3 0

3 years ago

Can y’all help me? i’ll literally fail if i don’t get these right lol

ioda

Answer:

63 degrees.

Step-by-step explanation:

TRaingle ABC is isosceles so the base angles are equal That is < BAC = < BCA.

<BAC = 180 - 117 = 63 degrees ( because it is adjacent to <x which is 63 degrees).

So < BCA = <BAC = 63 degrees.

Finally y = 63 degrees ( vertical angles are equal).

5 0