What is the value of x?

The expected population of Adamsville in an additional 5 years, assuming uninhibited exponential growth, is approximately 21,803 individuals.

The question is based on exponential growth, a fundamental concept in mathematics. To solve for the population of Adamsville in the next 5 years, we need to know the growth rate. The formula for exponential growth is P = P0 * e^(rt), where:

Given that the population grew from 7,000 to 12,000 in 5 years, it follows that 12,000 = 7,000 * e^(5r). Solving for r, we find that the annual growth rate is approximately 0.14496. Therefore, the estimated population in another 5 years would be P = 12,000 * e^(5 * 0.14496), which yields approximately 21,803. This suggests that if Adamsville's population continues to grow at an uninhibited exponential rate, in the next 5 years, it will reach roughly 21,803 individuals.

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The question is an example of binomial distribution.

P(x=r) = nCr* p^r* q^(n-r) ( nCr = n! / ( (n-r)!*r! )

p = probability of die = 300/100000 = .003

P ( at least one man would die) = 1-P(at most one man would die)

= 1 - [ P(X =0) + P(X= 1)

= 1- [ {1000C0(.003)^0 *(.997)^1000} + { 1000C1(.003)^1 *(.997)^999} ]

= .801

Answer:

C) 700 unit².

Step-by-step explanation:

Given : A rectangular prism .

To find : What is the surface area of the rectangular prism below.

Solution : We have given that  a rectangular prism with

Length = 14 units,

Width = 12 units

Height = 7 units.

Surface area of rectangular prism = [tex]2(length* width\ +\ height*width\ +\ height*length})[/tex].

Plugging the values

Surface area of rectangular prism = 2 ( 14* 12 + 7 *12 + 7 *14)

Surface area of rectangular prism = 2 ( 168 + 84 + 98)

Surface area of rectangular prism = 2 ( 350).

Surface area of rectangular prism = 700 unit².

Therefore, C) 700 unit².

A - Both speed and velocity are changing.

Though the answer is option A but option D can also be true. The velocity cannot be completely determined from the graph.  This is because, velocity is based on the direction and motion and the graph is not completely justifying this.

Though velocity cannot be determined, but it is clear from the graph that velocity is changing, because the speed is changing.

Therefore, option A is completely true.

A)

According to the graph, speed is increasing. Velocity is speed plus direction, so velocity is also changing. And this is an acceleration graph, so you know since acceleration is a change in velocity, both speed and velocity are changing.

Answer:

The Answer Is *HIGH*

Step-by-step explanation:

[tex]\beta \alpha \lim_{n \to \infty} a_n[/tex] :)

Answer: The answer would be y=20x :)

Answer:

Option D.

Step-by-step explanation:

The given function is

[tex]y=\frac{2}{3}x-3[/tex]

Substitute x=0 in the given function to find the y-intercept.

[tex]y=\frac{2}{3}(0)-3=-3[/tex]

The y-intercept of the given function is -3. We need to find the equation whose y-intercept is -3.

Substitute x=0 in the given each of the equations to find the y-intercepts of those equation.

First equation is

[tex]\frac{2}{3}x+3y=-3[/tex]

[tex]\frac{2}{3}(0)+3y=-3[/tex]

[tex]3y=-3[/tex]

[tex]y=-1[/tex]

y-intercept is -1.

Second equation is

[tex]-\frac{2}{3}x+3y=6[/tex]

[tex]-\frac{2}{3}(0)+3y=6[/tex]

[tex]3y=6[/tex]

[tex]y=2[/tex]

y-intercept is 2.

Third equation is

[tex]x+4y=12[/tex]

[tex](0)+4y=12[/tex]

[tex]4y=12[/tex]

[tex]y=3[/tex]

y-intercept is 3.

Fourth equation is

[tex]6x-7y=21[/tex]

[tex]6(0)-7y=21[/tex]

[tex]-7y=21[/tex]

[tex]y=-3[/tex]

y-intercept is -3.

Therefore, the correct option is D.

The equation of the function that has the same y-intercept as  [tex]y = \frac{2}{3}x - 3[/tex] is  [tex]\mathbf{6x - 7y = 21}[/tex]. Both functions have the y-intercept of -3.

Recall:

Equation of a line in slope-intercept form is represented as: y = mx + b

y-intercept = b

m = slope

Given the function, [tex]y = \frac{2}{3}x - 3[/tex],

the y-intercept is -3

Rewrite each given option in the slope-intercept form to find which of the function has the same y-intercept value of -3 as in the function [tex]y = \frac{2}{3}x - 3[/tex].

Option A: [tex]\frac{2}{3} x + 3y = -3[/tex]

[tex]\frac{2}{3} x + 3y - \frac{2}{3} x = -\frac{2}{3} x -3\\\\3y = -\frac{2}{3} x -3\\\\3y \times \frac{1}{3} = -\frac{2}{3} x \times \frac{1}{3} -3 \times \frac{1}{3}\\\\\mathbf{y = -\frac{2}{9}x - 1}[/tex]

Option B: [tex]-\frac{2}{3} x + 3y = 6[/tex]

[tex]-\frac{2}{3} x + 3y + \frac{2}{3} x = \frac{2}{3} x + 6\\\\3y = \frac{2}{3} x + 6\\\\3y \times \frac{1}{3} = \frac{2}{3} x \times \frac{1}{3} + 6 \times \frac{1}{3}\\\\\mathbf{y = \frac{2}{9}x + 2}[/tex]

Option C: [tex]x + 4y = 12[/tex]

[tex]x + 4y - x= - x + 12\\\\4y = -x + 12\\\\4y \times \frac{1}{4} = -x \times \frac{1}{4} + 12 \times \frac{1}{4} \\\\\mathbf{y = -\frac{1}{4} x + 3}[/tex]

Option D: [tex]6x - 7y = 21[/tex]

[tex]- 7y = -6x + 21 \\\\-7y \times -\frac{1}{7} = -6x \times -\frac{1}{7} + 21 \times -\frac{1}{7}\\\\\mathbf{y = \frac{6}{7}x - 3}[/tex]

Therefore, the equation of the function that has the same y-intercept as  [tex]y = \frac{2}{3}x - 3[/tex] is  [tex]\mathbf{6x - 7y = 21}[/tex]. Both functions have the y-intercept of -3.

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To write a mixed number as a sum, separate the whole number part and the fractional part, such as 3 1/2 as 3 + 1/2.

A mixed number can be written as a sum by separating the whole number part and the fractional part. For example, 3 1/2 can be written as 3 + 1/2. This means 3 plus one-half.

0.59 is written as a decimal for 59/100

A number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. 13.6 is a decimal number, for instance in this case, the whole number half is 13, and the fractional part is 6.

The decimal point is ".".

To convert the given number into decimal:

Given number is 59/100

Count the zeroes in the denominator and shift the decimal to the left-hand side that times.

Here, 2 zeroes are there, So shift decimal to left-hand side 2 places.

So, it will result in 0.59

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