Eight people enter a race. If there are no ties, in how many ways can the first two places come out

1 answer:

8 0

Since there is no ties:

The 1st place could be obtained in 8 ways (each one could be first)
Now that the 1st place is occupied, the remaining pretenders to te 2nd place are 7 people

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In the context of data models, relationships among records in a hierarchical model are called _____.

Lelechka [254]

In the context of data models, relationships among records in a hierarchical model are called Branches. This is further explained below.

<h3>What are data models,?</h3>

Generally, The act of generating a visual representation of either a whole information system or portions of it in order to express the linkages between different data points and structures is known as data modeling.

In conclusion, When discussing data models, the connections between different records in a hierarchical structure are referred to as "Branches."

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2 years ago

What is the measure of angle 2

gulaghasi [49]

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3 years ago

Can yoy please help solve yhis problem.2/5b+1=11

shusha [124]

Answer:

(2/5)*b+1 = -11 // + 11

(2/5)*b+1+11 = 0

2/5*b+12 = 0 // - 12

2/5*b = -12 // : 2/5

b = -12/2/5

b = -30

Step-by-step explanation:

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3 years ago

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Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

frutty [35]

Answer:

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

$g(x) =e^{x^3}$

we know that $\frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)$

$g'(x) =e^{x^{3}}(3 x^{2})$

$g'(x) =3 x^{2} e^{x^{3}}$

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

$m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}$