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Vsevolod [243]
2 years ago
10

A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350

butterflies in the first generation, how many will there be by the 19th generation?
Answer the question with all work shown. Thanks
Mathematics
1 answer:
kap26 [50]2 years ago
7 0

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

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2 years ago
The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 3x + 5 and g(x) = x2. Find g(x) − f(x).
kifflom [539]

Answer:

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Step-by-step explanation:

Given functions,

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g(x) = x^2 -----(2)

Since,

(fog)(x) =  f( g(x) )      ( Composition of functions )

=f(x^2)             ( From equation (2) )

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(fog)(x)=3x^2 + 8

Step-by-step explanation:

8 0
2 years ago
ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una
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Y

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8 kg/4 s

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6 0
2 years ago
Admission for a water park is 17.50 per day.a season pass cost 125. How many days must you go to the water park to make buying t
solmaris [256]

You must go to the water park for 8 days to make buying the season pass worth it.

<em><u>Explanation</u></em>

Suppose, the number of days you must go to the water park is  x

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Given that, the season pass cost 125. So, the equation will be.....

17.50x=125\\ \\ x=\frac{125}{17.50}=7.142...\\ \\ x \approx 8

<em>(As the number of days can't be in decimal)</em>

So, you must go to the water park for 8 days to make buying the season pass worth it.

7 0
2 years ago
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joja [24]

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6 0
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