How do I find the value(s) of the variable(s)

Mathematics

2 answers:

IgorLugansk [536]4 years ago

7 0

You need to do the ones in the parentheses first

12345 [234]4 years ago

3 0

Vertical angles are always congruent, so that means 2x+40 = 110 and y+20= 70.
So therefore x= 35 and y= 50

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Which of the following is a step in simplifying the expression x multiplied by y to the power of 3 over x to the power of negati

stich3 [128]

Answer:

-3

Step-by-step explanation:

5 0

3 years ago

Suppose that f(x) = x + 4 and g(x) = -x + 3. Find (f )(g)(4).

stellarik [79]

Answer:

-12

Step-by-step explanation:

I am assuming that you want (f*g)(4), which is the product of f and g at x = 4.

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3 years ago

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species

kotegsom [21]

Answer:

$P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}$

Step-by-step explanation:

The logistic equation is the following one:

$P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}$

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.

In this problem, we have that:

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that $P(0) = 80, K = 2000$ .