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adell [148]
3 years ago
13

In Exercise, find the derivative of the function. y = 5ex + 2

Mathematics
1 answer:
ser-zykov [4K]3 years ago
8 0

Answer:

\dfrac{dy}{dx} = 5e^x

Step-by-step explanation:

We are given the following in the question:

y = 5e^x + 2

We have to find the derivative of the given function.

Formula:

\dfrac{d(e^x)}{dx} = e^x

Derivative of a constant is zero.

Derivation takes place as:

\dfrac{dy}{dx} = \dfrac{d(5e^x + 2)}{dx}\\\\=5\dfrac{d(e^x)}{dx} + \dfrac{d(2)}{dx}\\\\= 5e^x

\dfrac{dy}{dx} = 5e^x

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Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.
Mrrafil [7]

Answer:

E(X_n)=\frac{2(n-1)}{27}

E(y)=\frac{14}{9}

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green g=4

Number of yellow y=4

Number of white w=4

Probability of Green Followed by yellow P(GY) ball

 P(GY)=\frac{4}{9}*\frac{3}{9}

 P(GY)=\frac{4}{27}

Generally the equations for when n is even is mathematically given by

 Probability of success P(S)=\frac{4}{27}

 Probability of Failure P(F)=\frac{27-4}{27}

 Probability of Failure P(F)=\frac{23}{27}

Therefore

 E(X_n)=\frac{n}{2}*P

 E(X_n)=\frac{n}{2}*\frac{4}{27}

 E(X_n)=\frac{2n}{27}

Generally the equations for when n is odd is mathematically given by

 \frac{n-1}{2}

 E(X_n)=\frac{n-1}{2}*\frac{4}{27}

 E(X_n)=\frac{2(n-1)}{27}

b)

Probability of drawing white ball

 P(w)=\frac{2}{9}

Therefore

 E(w)=\frac{1}{p}

 E(w)=\frac{1}{\frac{2}{9}}

 E(w)=\frac{9}{2}

Therefore

 E(y)=[E(w)-1]\frac{4}{9}

 E(y)=[\frac{9}{2}-1]\frac{4}{9}

 E(y)=\frac{14}{9}

5 0
3 years ago
I want a way to solve this question​
noname [10]

Answer:

Step-by-step explanation:

cos~L=\frac{m^2+n^2-l^2}{2mn} \\=\frac{5^2+8^2-7^2}{2*5*8} \\=\frac{25+64-49}{80} \\=\frac{40}{80} \\=\frac{1}{2} \\=cos 60\\

∠L=60°

5 0
2 years ago
What are the coordinates of the endpoints A'B after a reflection of segment AB over the line y = - x?
kupik [55]

Answer:

by reflection, if you mean swapped, then the answers are A'(1,-6) and B'(4,2)

i hope these are the answers you are looking for

Step-by-step explanation:

6 0
2 years ago
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Answer:

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pesos I'm not sure

Step-by-step explanation:

25. 80

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2 years ago
A baseball team ordered 12 jerseys. Each jersey costs the same amount. The shipping cost for the jerseys was $3 and the total co
alexandr402 [8]

Answer:

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Step-by-step explanation:

I just did 12 x p + 3 = 99

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