All categories

3 years ago

Which function has the greatest rate of exponential growth?

Mathematics

1 answer:

Veronika [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Here, we want to find which of the expressions have the greatest rate of exponential growth.

The easiest way to go about this is have a substitution for the term t;

Let’s say t = 6

Thus;

h(t) = 1.18^1 = 1.18

K(t) = 0.375^6 = 0.002780914307

f(t) = 1.36^6 = 6.327518887936

g(t) = 0.86^6 = 0.404567235136

Another way to find this is to express each as a sum of 1

f(t) = (1+ 0.36)^t

g(t) = (1-0.14)^t

k(t) = (1-0.625)^t

We can see clearly that out of all the terms in the brackets asides 1, 0.36 is the biggest in value

You might be interested in

What are allOf the factors for 20

wariber [46]

Answer:

1, 2, 4, 5, 20

You can figure this out by thinking of all the numbers between 1 and 20 and seeing if they are a factor of 20.

5 0

4 years ago

Read 2 more answers

How do you solve this problem? I’m really stressed and don’t know how, can someone take me step by step through it? It’s really

Marina CMI [18]

The answer to 4\|256 is 4, since we can find the square root of 256, which is 16, we can find the square root of the square root, which is 4, so, 4^4 is 256 is your answer

4 0

3 years ago

Read 2 more answers

If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime

Yuri [45]

Answer:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

Step-by-step explanation:

Given two positive integers $r$ and $s$ .

To check whether $\small \frac{r}{s}$ is an integer:

Condition (1):

Every factor of $s$ is also a factor of $r$ .

$r \geq s$

Let us consider an example:

$s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2$

$\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10$

which is an integer.

Actually, in this situation $s$ is a factor of $r$ .

Condition 2:

Every prime factor of s is also a prime factor of r.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

$r = 2^2\cdot 5\\s =2^4\cdot 5$

$\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}$

which is not an integer.

So, the answer is:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

8 0

4 years ago

Choose the graphs that indicate equations with no solution

Nat2105 [25]

Answer:

The ones that dont touch are 2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

G(1) = 5 0 g(n) = -1.g(n-1) - 4 = - g(2) =

e-lub [12.9K]

Answer:

Step-by-step explanation:

6 0

3 years ago