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slega [8]
3 years ago
14

What's the probability of landing on green or purple?

Mathematics
2 answers:
Lena [83]3 years ago
4 0

Answer:

green by searching me on is green

Dmitry_Shevchenko [17]3 years ago
3 0

50% is green I'm not sure how you would do your work but 25% is purple

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The population of Nottingham High School can be modeled using the equation
torisob [31]

\stackrel{\textit{population of Nottinghan HS}}{P(t)=2600(0.96)^t} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{t=14}}{P(14)}~~ = ~~2600(0.96)^{14}\implies \stackrel{\textit{in the year 2014, the population will be about 1468}}{P(14) ~~\approx ~~1468}

8 0
2 years ago
Use the method of lagrange multipliers to find
Yanka [14]

Answer:

a) The function is: f(x, y) = x + y.

The constraint is: x*y = 196.

Remember that we must write the constraint as:

g(x, y) = x*y - 196 = 0

Then we have:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y,  λ) = x + y +  λ*(x*y - 196)

Now, let's compute the partial derivations, those must be zero.

dL/dx =  λ*y + 1

dL/dy =  λ*x + 1

dL/dλ = (x*y - 196)

Those must be equal to zero, then we have a system of equations:

λ*y + 1 = 0

λ*x + 1 = 0

(x*y - 196) = 0

Let's solve this, in the first equation we can isolate  λ to get:

λ = -1/y

Now we can replace this in the second equation and get;

-x/y + 1 = 0

Now let's isolate x.

x = y

Now we can replace this in the last equation, and we will get:

(x*x - 196) = 0

x^2 = 196

x = √196 = 14

then the minimum will be:

x + y = x + x = 14 + 14 = 28.

b) Now we have:

f(x) = x*y

g(x) = x + y - 196

Let's do the same as before:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y, λ) = x*y +  λ*(x + y - 196)

Now let's do the derivations:

dL/dx = y + λ

dL/dy = x + λ

dL/dλ = x + y - 196

Now we have the system of equations:

y + λ = 0

x + λ = 0

x + y - 196 = 0

To solve it, we can isolate lambda in the first equation to get:

λ = -y

Now we can replace this in the second equation:

x - y = 0

Now we can isolate x:

x = y

now we can replace that in the last equation

y + y - 196 = 0

2*y - 196 = 0

2*y = 196

y = 196/2 = 98

The maximum will be:

x*y = y*y = 98*98 = 9,604

6 0
3 years ago
2)Find the rate of change from the
AlladinOne [14]

Answer: 7 ft/yr

Step-by-step explanation:

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3 years ago
Graph the following non-linear system of equations and identify the two solutions. y=2x −7x+3y=3 What type of function is the eq
Ivanshal [37]

The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value  x = 3 , y = 8 .

<h3>What is a Equation ?</h3>

An Equation is a mathematical statement which relates two algebraic expression with an equal sign in between.

The equations given in the question is

y = 2ˣ

This is an exponential function

-7x +3y = 3

This is a linear function

The equations have been plotted and the solution to the non linear system of equation has been determined

The point at which the graphs intersect is the solution to the system of non -linear equations.

(0,1) and (3,8)

x = 0 , y = 1 ; x = 3 , y = 8

The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value  x = 3 , y = 8 .

To know more about Equation

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2 years ago
The area in square feet, inside a rectangle is given by the expression 1600 x? What is the value
Juli2301 [7.4K]

Answer:1375

Step-by-step explanation:

X= 15 is given

X squared is 15x15 = 225

1600 - 225= 1375

6 0
3 years ago
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