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olya-2409 [2.1K]
3 years ago
9

A population of 55 foxes in a wildlife preserve triples every 11 years. the function y=55*3^x, where X is the number of 11-year

periods, models the population growth. How many foxes will there be after 22 years
Mathematics
1 answer:
Fynjy0 [20]3 years ago
4 0
In 22 years there will be 496 foxes.
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A cylindrical package with half a hemisphere to be sent by a postal service can have a maximum combined length (height of the cy
artcher [175]

Answer:

36 x 18 x 18

Step-by-step explanation:

By Lagrange multiplier's method,

∇f(x,y,z)= λ∇g(x,y,z) & g(x,y,z)=k

considering x,y,z as three unequal sides of the box

f(x,y,z)=xyz

If x represents the length, then constraint condition is g(x,y,z)= x + 2(y+z) =108

We have the following three equations:

yz= λ -->eq(1)               fx= λgx

xz=2λ -->eq(2)              fy=λgy

xy= 2λ -->eq(3)             fz=λgz

x+2y+2z=108-->eq(4)

Dividing eq(2) by eq(1), we'll have

x / y =2

=> x= 2y

Also, by using eq(2)and eq(3), we can represent y=z

By substituting 'x= 2y' and 'y=z' in eq(4), we have

eq(4)=>

2y+ 2(y+y)= 108

y=108/6

y=18

<u>For x: </u> x=2y=> 2(18)=>36

<u>For z: </u>z= y = 18

Therefore, the dimensions are 36 x 18 x 18

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3 years ago
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A number is chosen at random from 1 to 25. Find the probability of selecting an even number that is greater than 13.
mamaluj [8]

Answer:

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so, 6 out of 24

6/24 simplifies to 1/4

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I think the answer is C
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2 years ago
How do u calculate pythagoras therorem
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a^2+b^2=c^2

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Answer:

y = 2x + 1

Step-by-step explanation:

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Slope = (-5 - 3)/ (-3 - 1) = -8/-4 = 2

2. Find the y-intercept (b) using  the slope intercept formula: y = mx + b

    m = 2 and using point (1, 3) , solve for "b"

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