Does someone know the answer please help ASAP

Derek found a function that approximately models the population of iguanas in a reptile garden, where x represents the number of

serious [3.7K]

Answer:

$i(x)=12 \times (1+\frac{0.9}{12})^{12x}$ and growth rate factor is 0.075

Step-by-step explanation:

The function that models the population of iguanas in a reptile garden is given by $i(x)=12 \times (1.9)^{x}$ , where x is the number of years.

Since, $i(x)=12 \times (1.9)^{x}$

i.e. $i(x)=12 \times (1+0.9)^{x}$ .

Therefore, the monthly growth rate function becomes,

i.e. $i(x)=12 \times (1+\frac{0.9}{12})^{x \times 12}$ .

i.e. $i(x)=12 \times (1+\frac{0.9}{12})^{12x}$ .

Hence, the monthly growth rate is i.e. $i(x)=12 \times (1+\frac{0.9}{12})^{12x}$ .

Also, the growth factor is given by $\frac{0.9}{12}$ = 0.075.

Thus, the growth factor to nearest thousandth place is 0.075.

4 0

2 years ago

A hollow sphere sits snugly in a foam cube so that the sphere touches each side of the cube. Find the volume of the foam.

ExtremeBDS [4]

Answer:

π

V-foam = 4r³( 2 - ----- )

3

Step-by-step explanation:

Let the radius of the sphere be r. Then the volume of the sphere is

V = (4/3)(π)(r³).

Next, recognize that the side length of the cube is 2r, and that the volume of the cube is thus

V = (2r)³, or 8r³.

Then the volume of the foam is equal to the volume of the cube less the volume of the sphere:

V-foam = 8r³ - (4/3)(π)(r³). This could be factored into

π

V-foam = 4r³( 2 - ----- )

3

5 0

3 years ago

What is probability of randomly selecting a marble and getting black or red? a bag contains 5 black marbles, 10 red marbles, and

seropon [69]

This is a mutually exclusive event because you can't choose both at the same turn you can only pick one or the other. so we add the event chances together,
5/35 + 10/35 = 15/35 or reduced 3/7

7 0

2 years ago

Given real numbers a,b > 1.

irina [24]

Answer:

FALSE

Step-by-step explanation:

Recall that a function f(x) is of exponential order c, if there exists a constant M such that and a real r such that

$|f(x)|\leq Me^{cx}\;(x\geq r)$

Now, take a = 2.5 and b = 2

The functions

$f(x)=(2.5)^x\;g(x)=2^x$

are both exponential of order 1, since

$\lim_{x \to \infty}\frac{f(x)}{e^x}=\lim_{x \to \infty}\frac{g(x)}{e^x}=0$

but a>b

8 0

2 years ago

Please solve this simultaneous equation

Scrat [10]

Answer:

b6 2hich method

Step-by-step explanation:

I solv3 this

3 0

2 years ago

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