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The exponential model A=302.5e^0.0211 describes the population, A, of a country in millions, t years after 2003. Use the model

Naddik [55]

The population of the country in 2003 is 302.5 million

<h3>How to determine the population of the country in 2003.</h3>

From the question, we have the following parameters that can be used in our computation:

Exponential model, A = 302.5e^0.0211t

Where i is the number of years after 2003

In the year 2003, the value of t is 0

i.e. 0 years after 2003

So, we have

A = 302.5e^(0.0211 * 0)

Evaluate the products

A = 302.5 * 1

So, we have the following result

A = 302.5

Hence, the population is 302.5 million

Read more about exponential models at

brainly.com/question/27161222

#SPJ1

3 0

1 year ago

What is the ratio of 1.5 inch screws to 2.5 inch screws?

Ugo [173]

Step-by-step explanation:

1.5 : 2.5

= 1.5/2.5

15/25

3/5

the ratio is 3 : 5

4 0

3 years ago

The length of side X is 36.25 cm to the nearest hundredth of a centimeter what is the length of y

goldenfox [79]

Answer:

<h3>The length of y is 62.82 cm.</h3>

Step-by-step explanation:

We are given a right triangle with an angle 30°.

Opposite side of angle 30° is x and adjacent side is y.

Also, given length of side x=36.25 cm.

In order to find the value of y, we need to apply tangent trigonometrical ratio.

We know,

$tan \theta =\frac{Opposite \ Side}{Adjacent \ Side}$

Therefore,

$tan \theta =\frac{x}{y}$

Plugging values of $\theta =30^o$ and x=36.25, we get

$tan 30^o=\frac{36.25}{y}$

Plugging value of $tan 30^o=0.577$ in above equation, we get

$0.577=\frac{36.25}{y}$

On multiplying both sides by y, we get

$0.577\times y=\frac{36.25}{y}\times y$

0.577y=36.25

Dividing both sides by 0.577, we get

$\frac{0.577y}{0.577} =\frac{36.25}{0.577}$

y=62.82

<h3>Therefore, the length of y is 62.82 cm.</h3>

3 0

3 years ago

Identify the vertex of y = x2 + 4x + 5.

Xelga [282]

ANSWER

The vertex is (-2,1)

EXPLANATION

We want to find the vertex of

$y = {x}^{2} + 4x + 5$

We complete the square to obtain,

$y = {x}^{2} + 4x + {(2})^{2} - {(2})^{2} + 5$

The first three terms forms a perfect square trinomial.

$y = {(x + 2})^{2} - 4 + 5$

The vertex form is

$y = {(x + 2})^{2} + 1$

This equation is in the form;

$y = a{(x -h})^{2} + k$

where (h,k)=(-2,1) is the vertex.

4 0

3 years ago

Read 2 more answers

Which of the following functions is graphed below.

Valentin [98]

Answer: Option A

$y=\left \{ {{x^2 +2;\ \ x$

Step-by-step explanation:

In the graph we have a piecewise function composed of a parabola and a line.

The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.

The equation of this parabola is $y = x ^ 2 +2$

Then we have an equation line $y = -x + 2
$

Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."

(this is $x< 1$ )

Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .

(this is $x\geq 1$ )

Then the function is:

$y=\left \{ {{x^2 +2;\ \ x$

7 0

3 years ago