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3 years ago

What is the rat pop in 1990? What does the model predict the rat pop was in the year 2005?

Mathematics

1 answer:

algol133 years ago

4 0

Answer:

Pop in 1990 = 81 million rats

Pop in 2005 = 127 million rats

Step-by-step explanation:

Given the function, the population of rats in 1990 is when we replace t with "0" which strictly gives the coefficient 81 that represents 81 million rats.

The rat population in 2005 is given by the formula when t = 15

This is: approximately 127 million rats.

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8. For each function, find ordered pairs for x = -2, x = 5,2x=and x=0.75. Create tables of values.31a. y=9 - 4xb. y =х

Alenkinab [10]

We need to check the ordered pairs for x = -2, x=5, x= 2/3 and x = 0.75.

1. For the first function: y = 9-4x

x=-2

$\begin{gathered} y=9-4\cdot(-2) \\ y=9+8 \\ y=17 \end{gathered}$

The ordered pair is (-2,17).

x = 5

$\begin{gathered} y=\text{ 9-4}\cdot(5) \\ y=9-20 \\ y=-11 \end{gathered}$

The ordered pair is (5,-11).

x = 2/3

$\begin{gathered} y=9-4\cdot(\frac{2}{3}) \\ y=9-\frac{8}{3} \\ y=\frac{27-8}{3} \\ y=\frac{19}{3} \end{gathered}$

The ordered pair is (2/3, 19/3)

x = 0.75

$\begin{gathered} y=9-4\cdot(0.75) \\ y=9-3=6 \end{gathered}$

7 0

1 year ago

The graph below represents Function R

Phoenix [80]

Option A: The rate of change of Function R is less than the rate of change of Function S because $\frac{2}{3}$ is true.

Explanation:

The function $S=3x-1$

The equation for function R can be determined using the slope formula,

$y=mx+b$

The y-intercept is the value of y, when x = 0.

Thus, the y-intercept is $b=1$ .

To determine the slope, let us substitute the coordinates $(0,1)$ and $(3,3)$ .

Because, the points on the straight line have the same slope.

Thus, we have,

$m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{3-1}{3-0} \\m=\frac{2}{3}$

Thus, $m=\frac{2}{3}$ and $b=1$

Let us substitute these values in the formula $y=mx+b$ , we get,

$y=\frac{2}{3} x+1$

Hence, the equation of R is $y=\frac{2}{3} x+1$

The equation of S is $y=3x-1$

Comparing the slope of these two equations, we have,

$\frac{2}{3}$

This means that the slope of R is less than the slope of S.

Hence, The rate of change of Function R is less than the rate of change of Function S because $\frac{2}{3}$

Thus, Option A is true.

4 0

4 years ago

Please help me on this question! 9th grade math

azamat

Rate of change is also called the slope. This function goes 4 up for every 6 to the right, slope 4/6 = 2/3. We choose the lines with slope greater than this.

Answer: b, c, d

3 0

3 years ago

How many quarter centimeters can you get from ten centimeters?

DanielleElmas [232]

Answer: 0.44 qtr

Step-by-step explanation:

10 centimeters to quarters = 0.44 qtr

8 0

3 years ago

How long would it take to double your principal in an account that pays 6.5% annual interest compounded continuously? round your

prisoha [69]

It would take 10.7 years.

The formula for continuously compounded interest is:
$A=Pe^{rt}$
where P is the principal, r is the interest rate as a decimal number, and t is the number of years.

Using our information we have:
$A=Pe^{0.065t}$

We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:
$2P=Pe^{0.065t}$

Divide both sides by P:
$\frac{2P}{P}=\frac{Pe^{0.065t}}{P}
\\
\\2=e^{0.065t}$

Take the natural log, ln, of each side to "undo" e:
$\ln{2}=\ln{e^{0.065t}}
\\
\\0.6931471806=0.065t$

Divide both sides by 0.065:
$\frac{0.6931471806}{0.065}=\frac{0.065t}{0.065}
\\
\\10.7\approx t$

8 0

3 years ago

Read 2 more answers