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lakkis [162]
3 years ago
14

Pls guys help me pls pls :(​

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

The answer is option C.

Step-by-step explanation:

The lines are neither parallel nor perpendicular

Hope this helps you

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Find the median of the following set of data. 13, 11, 4, 5, 6, 9, 10, 12, 15, 16
klemol [59]
Firstly arrange data from smaller to greater data point:
4 5 6 9 10 11 12 13 15 16
Secondly find the middle value: In our case the number of data is even, so to get the middle value we have to find the mean (average) between 10 & 11, that is 10.5. So the rank of the Median is10.5
8 0
3 years ago
1. Express <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%282x%2B3%29%20%7D" id="TexFormula1" title="\frac{1}{x(2x+3) }" a
katovenus [111]

1. Let a and b be coefficients such that

\dfrac1{x(2x+3)} = \dfrac ax + \dfrac b{2x+3}

Combining the fractions on the right gives

\dfrac1{x(2x+3)} = \dfrac{a(2x+3) + bx}{x(2x+3)}

\implies 1 = (2a+b)x + 3a

\implies \begin{cases}3a=1 \\ 2a+b=0\end{cases} \implies a=\dfrac13, b = -\dfrac23

so that

\dfrac1{x(2x+3)} = \boxed{\dfrac13 \left(\dfrac1x - \dfrac2{2x+3}\right)}

2. a. The given ODE is separable as

x(2x+3) \dfrac{dy}dx} = y \implies \dfrac{dy}y = \dfrac{dx}{x(2x+3)}

Using the result of part (1), integrating both sides gives

\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + C

Given that y = 1 when x = 1, we find

\ln|1| = \dfrac13 \left(\ln|1| - \ln|5|\right) + C \implies C = \dfrac13\ln(5)

so the particular solution to the ODE is

\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + \dfrac13\ln(5)

We can solve this explicitly for y :

\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3| + \ln(5)\right)

\ln|y| = \dfrac13 \ln\left|\dfrac{5x}{2x+3}\right|

\ln|y| = \ln\left|\sqrt[3]{\dfrac{5x}{2x+3}}\right|

\boxed{y = \sqrt[3]{\dfrac{5x}{2x+3}}}

2. b. When x = 9, we get

y = \sqrt[3]{\dfrac{45}{21}} = \sqrt[3]{\dfrac{15}7} \approx \boxed{1.29}

8 0
3 years ago
ANSWER QUICK AND CORRECTLY AND I WILL MARK THE BRAINLIEST PLEASE HELP!!!!
ahrayia [7]

Answer:

c

Step-by-step explanation:

because I'm brainlyiest

6 0
3 years ago
Can someone help me with these questions?
Elina [12.6K]
1) 1, -2..for the first question
4 0
3 years ago
Need help ASAP please!! Thank you!
deff fn [24]
What’s the question
6 0
3 years ago
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