3 years ago

Solve systems substitution. y=4x-13 3x-3y=12

Mathematics

1 answer:

Maru [420]3 years ago

7 0

I have no clue but i wish you the best of luck

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Given that the series kcoskt kº +2 k=1 converges, suppose that the 3rd partial sum of the series is used to estimate the sum of

3241004551 [841]

Answer:

Step-by-step explanation:

Given that:

$\sum \limits ^{\infty}_{k=1} \dfrac{kcos (k\pi)}{k^3+2}$

since cos (kπ) = $-1^k$

Then, the series can be expressed as:

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^kk)}{k^3+2}$

In the sum of an alternating series, the best bound on the remainder for the approximation is related to its $(n+1)^{th$ term.

∴

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(3+1)}(3+1))}{(3+1)^3+2}$

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(4)}(4))}{(4)^3+2}$

$= \dfrac{4}{64+2}$

$=\dfrac{2}{33}$

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3 years ago

Which equation represents the line whose slope is 1/2 and whose y-intercept is 5

expeople1 [14]

Answer:

y=1/2x+5

Step-by-step explanation:

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3 years ago

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Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 4 and a horizontal side of 10. The ot

Dahasolnce [82]

They are similar triangles because they are both right triangles

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4 years ago

How many days would it take a construction loan of $548,048 to earn$50,000 exact interest at 9% interest rate?

san4es73 [151]

$\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &50000\\
P=\textit{original amount deposited}\to& \$548048\\
r=rate\to 9\%\to \frac{9}{100}\to &0.09\\
t=years
\end{cases}
\\\\\\
50000=548048\cdot 0.09t\implies \cfrac{50000}{0.09(548048)}=t\implies 1.014\approx t$

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4 years ago

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How do I solve 6v-5/8=7/8

astra-53 [7]

6v-5/8=7/8
6v=12/8
v=12/8÷6
v=.25

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3 years ago