54. Suppose the population of a country is currently 8,100,000. Studies show this
country's population is increasing 2% each year.
a. What exponential function would be a good model for this country's
population?
b. Using the equation you found in part (a), how many years will it take for the
country's population to reach 9 million? Round your answer to the nearest
hundredth.

Answers

Answer 1

a. The exponential function that is good model for the country population is:

Pₙ = 8100000(1.02)ⁿ ,

b. It will take 5.27 years to reach 9 million.

What is exponential function?

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

Exponential Function Formula

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent.

a. Given,  initial population P₀ = 8100000, Rate of increase R = 2%.

If a constant rate of growth be R% per annum,

then function for population after n years

Pₙ = P₀ x (1+R/100)ⁿ

Population Pₙ = 8100000 × (1+2/100)ⁿ

Pₙ = 8100000(1.02)ⁿ

b. Let after x years population will be 9 million.

then,

9000000 = 8100000 (1 + 2/100)ˣ

(1 + 2/100)ˣ = 9000000/8100000

(1.02)ˣ = 90/81

(1.02)ˣ = 1.11

Taking log on both sides

ln (1.02)ˣ = ln (1.11)

ln(a)ⁿ = n ln(a)

x ln(1.02) = ln (1.11)

x = ln(1.11)/ln(1.02)

x = 5.27 years

Hence, the population will reach 9 million in 5.27 years.

Learn more about exponential function here:

https://brainly.com/question/14355665

#SPJ1


Related Questions

Calculate the bearing of A from B.
N
B
73°
N
A

Answers

The direction of A with respect to B. N B 73° N A is 287

Explain about the direction?

A direction is the way that something is moving, directing, or moving toward something or someone. The directions could be Up, Down, Left, and Right, or North, South, East, and West.

The ability to specify where one thing is in relation to another is known as position in mathematics. Defining direction entails explaining the direction in which something moves, such as forward, backward, or in a full or half turn.

It is possible to define direction using relative terms like up, down, in, out, left, right, forward, backward, or sideways. A direction can also be denoted by one of the four cardinal directions: north, south, east, or west.

Angles at a point add up to 360 degrees.

⇒ Bearing from A to B is = 360° - 73° = 287°.

To learn more about direction refer to:

https://brainly.com/question/25000908

#SPJ1

What is the area of equilateral ∆ having side 12 cm?

Answers

Therefore , the solution of the given problem of triangle comes out to be  the equilateral triangle are is 62.28 cm².

Describe the triangle.

In geometry, triangular polygons are ones that have three vertices and a right side. This object in two dimensions has three straight sides. Triangles are examples of three-sided polygons. The sum of a triangle's three angles is 180 degrees. The triangle lies on one plane.

Here,

Given : side = 12cm

Area of an equilateral triangle

=> √3/4 * side²

Side of triangle =12 cm

Area of an equilateral triangle

= >  √3/4 * 12²

=>√3/4 * 12*12

=> 62.28 cm²

Therefore , the solution of the given problem of triangle comes out to be  the equilateral triangle are is 62.28 cm².

To know more about triangle, visit

brainly.com/question/2773823

#SPJ4

At an arts festival, Jamal, a camp counselor, bought food tickets for his hungry campers. The campers can use them to get hot dogs, which cost 4 tickets apiece, and burgers, which cost 5 tickets apiece. In total, the campers can use up to 21 tickets, which is how many Jamal bought. Write an Inequality that best describe this situation​

Answers

Inequality in its most basic form explains this circumstance is 5x + 4y ≤ 21

What isan Inequality?

Jamal, a camp counsellor, purchased meal tickets at an arts festival for his ravenous kids. The campers may use them to purchase burgers and hot dogs, both of which cost four tickets each.

A camp counsellor purchased meal tickets at an arts festival for her ravenous kids.

The campers may use them to purchase burgers and hot dogs, both of which cost four tickets each.

Let x be the number of hot dogs and y be the number of burgers. In all, campers are allowed to utilise up to 21 tickets.

Thus, inequality in its most basic form explains this circumstance.

= 5x + 4y ≤ 21

Inequality in its most basic form explains this circumstance is 5x + 4y ≤ 21

To learn more about Inequality refer to:

https://brainly.com/question/24372553

#SPJ1

What is the value FG?

Answers

FG is not a defined term, so there is no way to determine its value.

FG is not a defined term, so there is no way to determine its value. This means that we cannot assign a numerical or other value to it. In order to determine the value of FG, we would first need to identify the context in which it is being used, as different contexts may assign different meanings to the same term. Once the context has been established, we can then look up the definition of FG in order to understand what it means in that particular context, and then assign a value to it accordingly. For example, if FG stands for "Frequency Generator" in a physics context, then it would likely have a numerical value associated with it.

Learn more about value here

https://brainly.com/question/1301718

#SPJ4

A rare Pokemon trading card deck you have been wanting to buy costs 4500. You have earned 2485 from helping your mom in her online selling business. If you can save 155 weekly from your allowance, how many weeks would it take for your funds to reach 4500

Answers

It will take 13 weeks to gather funds that sum up to $4500.

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given: I have $2485 and I save $155 weekly

Thus amount left to be gathered is $4500-$2485=2015

If I save $155 weekly then we get = $2015/$155

                                                        =13 weeks

Hence, It will take 13 weeks to gather funds that sum up to $4500.

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ1

Pls help 1-6 example at the SIDE

Answers

1.) |-9|=9

2.) |-2|=2

3.) |4|=4

4.) -|-10|=-10

5.) |-2|, |-3|, |10|

6.) |0|, |-5|, |-7|

What is the x-intercept of the graph of y x2 − 4x 4?

Answers

The x-intercept for the graph of y is found to be at x = 2.

Define the term x-intercept?The points where such a line crosses an axis are known as the x-intercept and the y-intercept, respectively.The graph's intersection with the x-axis is known as the x-intercept.Therefore, the y coordinate would be zero at that time.

The quadratic equation given is

y = x² - 4x + 4

Put y = 0

0 = x² - 4x + 4

It becomes perfect square for (x - 2).

It can be written as;

(x - 2)² = 0

Take square root on the both sides

x - 2 = 0

x = 2

Thus, the x-intercept for the graph of y is found to be at x = 2.

To know more about the x intercept, here

https://brainly.com/question/17932786

#SPJ4

The correct question is-

What is the x-intercept of the graph of y = x² - 4x + 4?

Acellus Geometry Question in picture

Answers

The answer will be (0,6)

What are the values for the coefficients and constant term of 0 2 3x² 5x?

Answers

The coefficient of the expression 3x² is the number 3 and constant term is 20

What are the coefficients?

The coefficients are the numbers on the left side or before each variable.

What is an algebraic expression?

Is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

If the expression of a single term is:. 3x²

Then the only coefficient will be the number that is placed before it and it is:

Number 3

Learn more about algebraic expression in:

brainly.com/question/21856579

#SPJ4

4. BK has endpoints B(1, 4) and K(4, -3). Rotate BK clockwise 270 degrees about the

origin.

Part AWrite an algebraic description of the transformation of BK.

Part B: What are the endpoints of the new line segment?

Answers

The algebraic description of the transformation of B(x, y) = B'(y + 0, 0 - x)

The algebraic description of the transformation of K(x, y) = K'(y + 0, 0 - x)

The endpoints of the new line segment are B'(4, -1) and K'(-3, -4).

As per the given data BK has endpoints B(1, 4) and K(4, -3).

Rotate BK clockwise 270 degrees about the origin.

Every point of a source image is transformed in a plane via a rotation that rotates it around a fixed point at a specific angle and direction. The fixed point is referred to as the rotational center.

The term "angle of rotation" refers to the rotation's amount and is expressed in degrees.

Rotating a figure 270 degrees clockwise is the same as rotating a figure 90 degrees anticlockwise.

Now, it would be (x, y) = (-y, x)

We have;

R (x, y) to R' (y, -x)

The algebraic description is simply written as;

R (x, y) = R'(y + 0, 0 - x)

B (x, y) = B'(y + 0, 0 - x)

K (x, y) = K'(y + 0, 0 - x)

To get the new endpoints, we simply write the transformation as shown;

B(1, 4) becomes B'(4, -1)

K(4, -3) becomes K'(-3, -4)

For more questions on transformations

https://brainly.com/question/24180577

#SPJ4

What is the x-intercept of the graph of y x2 4x 4?

Answers

The x-intercept of the graph of y = x² - 4x + 4 is x = 2.

By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the y-intercept occurs when the x value is 0. Y = B when x = 0, since mx = 0 at this point.

We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.

The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.

To learn more about intercept :

brainly.com/question/24990033

#SPJ4

A college biology lab selected 65 women and 65 men at random and recorded their body temperatures (in degrees Fahrenheit). The distributions of their temperatures are shown below.Which statement gives an accurate comparison of the body temperatures of women and men shown?

Question 5 options:

1.)The mean body temperature for women is less than for men and women's temperatures vary more than men's temperatures.
2.)The mean body temperature for women is greater than for men and women's temperatures vary less than men's temperatures.
3.)The mean body temperature for women is less than for men and women's temperatures vary less than men's temperatures.
4.)The mean body temperature for women is greater than for men and women's temperatures vary more than men's temperatures.

Answers

Answer: Choice 2

Step-by-step explanation:

Robin tosses a pair of 6-sided dice. The odds in favor of the sum of the 2 dice rolls being greater than 8 are 5:13.
What is the probability that the sum of the 2 dice rolls will not be greater than 8?

Answers

The probability that the sum of the 2 dice rolls will not be greater than 8 are 8 : 13.

How to evaluate for the probability

When the probability of an event occurring is know, it is easy to calculate the probability that the event does not occur. Hence, If P(A) is the probability of event A, then 1 - P(A) is the probability that the event does not occur.

the probability that the sum of the 2 dice rolls being greater than 8 are expressed in the ratio 5:13 and expressed in fraction as 5/13

then;

probability that the sum of the 2 dice rolls will not be greater than 8 = 1 - 5/13

probability that the sum of the 2 dice rolls will not be greater than 8 = (13 - 5)/13

probability that the sum of the 2 dice rolls will not be greater than 8 = 8/13

Therefore probability that the sum of the 2 dice rolls will not be greater than 8 can be expression as the ratio 8 : 13

Know more about probability here:https://brainly.com/question/14643284

#SPJ1

The price of a video game was orginally $60. There was a $15 discount. By what percentage was the price of the video game reduced?

Answers

Answer$84:

Step-by-step explanation:

Answer: 25%

Step-by-step explanation:  

19. Simplify the following 4a³ × 16aºb¹ ÷ 1ac² PLEASE HELP MEEEE!!!​

Answers

Answer:

64(ab÷c²)

step by step:

(when you multiply two similar bases you can add their exponents but when dividing similar bases you subtract their exponents)

for example

a³x a= a⁴

a²÷ a= a²-¹= a

so

4a³x 16a⁰b¹÷ 1ac²=

64a³b÷ac²

64a²b/c²

What are the intervals of 5?

Answers

The set of numbers x such that 0 ≤ x ≤ 5 is an interval containing 0, 5, and all numbers between 0 and 5.

Interval notation is a way of representing intervals on the number line. That is, how to write a subset of the real number line. Intervals include numbers between two specific numbers.

In mathematics, a (real) interval is a set of real numbers containing all real numbers between any two numbers in the set. For example, the set of numbers x such that 0 ≤ x ≤ 1 is an interval containing 0, 1, and all numbers in between. Other examples of intervals are the set of numbers with 0 < x < 1, the set of all real numbers, the set of non-negative real numbers, the set of positive real numbers, the empty set, and any Singleton (a set of one element).

Real intervals play an important role in integral theory. This is because real intervals are the simplest set whose "length" (or "scale" or "magnitude") is easy to define. The notion of measure can be extended to more complex sets of real numbers, leading to the Boral measure and finally the Lebesgue measure.

Intervals are central to interval arithmetic, a general numerical technique that automatically provides guaranteed bounds for any mathematical expression, even in the presence of uncertainties, mathematical approximations, and arithmetic rounding.

Complete Question:

What is the interval of 0,5 ?

Learn more about Interval :

https://brainly.com/question/13708942

#SPJ4

ENTERING INTERVAL ANSWERS. PLEASE SHOW YOUR WORK!!

Answers

The intervals that are equivalent to each inequality are given as follows:

2 < x ≤ 5: (2,5].x > 7: (7, ∞).

Which interval represents each inequlity?

The interval notation of an inequality of lower bound a and upper bound b is given as follows:

(/[a,b]/).

The closing notation can be in either parenthesis or brackets, as follows:

(: open interval.[: closed interval.

For the first interval, 2 < x ≤ 5, it is an open interval at the lower bound of 2 and closed at the upper bound of 5, hence the notation is given as follows:

(2,5].

For the second interval, x > 7, we have that it has only a lower bound of 7, which is open. Hence, the upper bound is of infinity, and an infinite bound is always open, hence the notation is given as follows:

(7, ∞).

More can be learned about inequalities at https://brainly.com/question/9290436

#SPJ1

Helllllp please ????

Answers

The linear relation y = |2x - 5| is a function which has it's domain along     (-∞, ∞) and it's range at [0, ∞)

What is a Linear Relation

A linear relation is a relationship between two variables (x and y) in which the points, when plotted on a graph, form a straight line. This means that for a given change in the independent variable (x), there will be a corresponding, predictable change in the dependent variable (y).

In this given relation, we can graph the absolute function and determine it's range and domain.

Using a graphing calculator;

y = |2x - 5|

The x-intercept of the relation is 2.5 and it's y-intercept is 5

The domain of the relation is (-∞, ∞)

The range of the relation is [0, ∞)

The relation y = |2x  5| is a function which is known as an absolute function

Learn more on linear relation here;

https://brainly.com/question/4074386

#SPJ1

Hannah is recovering hundreds of treasure chest from an ancient shipwreck she is able to recover a test every four hours to complete the table using equivalent ratios

Answers

A table of equivalent ratios for the number of treasure chests and hours that Hannah recovered is as follows:

Treasure chests      Hours

8                                  4

12                                 6

10                                 5

What is a proportional relationship?

In order to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 4/8

Constant of proportionality (k) = 0.5.

When hours y = 6, the number of treasure chests x is given by:

x = y/k

x = 6/0.5

x = 12.

When treasure chests x = 10, the number of hours y is given by:

y = kx

y = 0.5(10)

y = 5.

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

Complete Question:

Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests every 4 hours.

Complete the table using equivalent ratios. Select all the answers that will fill the table.

Find the values of x and y 2x+2y=x+13

Answers

X=13,Y=0 distribute them and you’ll get the answer

What is the length of ab

Answers

A triangle is a three-sided polygon with three vertices. The angles of the triangle are formed by the connection of the three sides end to end at a single point. The correct answer Is option c) 6.

What is triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

The diagram shows us a triangle [tex]$\mathrm{ABC}$[/tex], which

[tex]$$m \angle A=m \angle C=63^{\circ}, \quad A B=3 x$$[/tex]

units and [tex]$B C=(4 x-2)$[/tex] units.

The task Is to determine the length of the slde [tex]$\mathrm{AB}$[/tex].

[tex]$\mathrm{ABC}$[/tex] has the following

[tex]$$m \angle A=m \angle C$$[/tex]

In a triangle, we understand that

If the measurements of two angles are equal, then the lengths of the sides or each side are also equal.

so we must have

[tex]B C=A B \\\Rightarrow 4 x-2=3 x \Rightarrow 4 x-3 x=2 \Rightarrow x=2 .\end{aligned}$$[/tex]

As a result, [tex]$\mathrm{AB}$[/tex] will be of length

[tex]$$A B=3 x=3 \times 2=6$$[/tex]

As a result, the side [tex]$A B$[/tex] is 6 units long.

Therefore, the correct answer Is option c) 6.

To learn more about triangle visit:

brainly.com/question/1058720

#SPJ1

(a) Write an inequality for which 3, -4, 0, and 2,300 are solutions

(b) How many total solutions are there to your inequality?
(hurry)

Answers

The inequality be -4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

If x is an integer number, we have 2,305 solutions.

What is meant by inequality?

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.

The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.

Let the given data be 3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get: {-4, 0, 3, 2,300}

Let the inequality be -4 ≤ x ≤ 2,300

The four values in the set {-4, 0, 3, 2,300} exists solutions for our inequality.

Here x exists a real number, then we contain infinite solutions.

If x exists an integer, then the total number of solutions will be equivalent to the number of negative solutions (4) and number of positive solutions (2,300)

the number zero (1)

We would have: 4 + 2,300 + 1 = 2,305 integer solutions.

To learn more about inequality refer to:

https://brainly.com/question/25275758

#SPJ4

The inequality be -4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

If x is an integer number, we have 2,305 solutions.

What is meant by inequality?

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.

The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.

Let the given data be 3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get: {-4, 0, 3, 2,300}

Let the inequality be -4 ≤ x ≤ 2,300

The four values in the set {-4, 0, 3, 2,300} exists solutions for our inequality.

Here x exists a real number, then we contain infinite solutions.

If x exists an integer, then the total number of solutions will be equivalent to the number of negative solutions (4) and number of positive solutions (2,300)

the number zero (1)

We would have: 4 + 2,300 + 1 = 2,305 integer solutions.

To learn more about inequality refer to:

brainly.com/question/25275758

#SPJ4

Mia brought n shirts that were originally priced at $26.99 each shirt was on sale for $5.99 off the original price that she bought them which expression can be used to find the total sale price of n shirts

Answers

The total sale price of n shirts can be found using the following expression:

total sale price = n * (26.99 - 5.99)

This expression first calculates the sale price of a single shirt by subtracting the discount from the original price, and then multiplies that value by the number of shirts to get the total sale price.

For example, if Mia bought 3 shirts, the total sale price would be 3 * (26.99 - 5.99) = 3 * 21 = 63.

When two lines make an angle of 90 degree is known as?

Answers

When the two lines makes angle of 90 degree , then the lines are known as Perpendicular Lines .

What are Perpendicular Lines ?

Two lines are said to be perpendicular to each other if the straight line  makes an angle of 90 degree with another line. 90 degree is also called a Right Angle and is represented by a little square between two perpendicular lines .

when the two lines intersect at a right angle, they are said to be perpendicular to each other.

For Example : In a football field all the four corners of a football field are perpendicular to each other.

Learn more about Perpendicular Lines here

https://brainly.com/question/1995447

#SPJ4

the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³

Answers

The length of the cuboid is 56 cm.

The breadth of the cuboid is 40 cm.

The height of the cuboid is 16 cm.

What is a cuboid?

A cuboid is a three-dimensional shape where the volume is given by

Length x width x height.

We have,

Volume of a cuboid = 35840 cm³

The ratio of length, breadth, and height of the cuboid = 7:5:2

This means,

Length = 7x

Breadth = 5x

Height = 2x

Now,

(7x)(5x)(2x) = 35840

70x³ = 35840

x³ = 512

x = ∛512

x = 8

Now,

Length = 7x = 7 x 8 = 56 cm

Breadth = 5x = 5 x 8 = 40 cm

Height = 2x = 2 x 8 = 16 cm

Thus,

The length, breadth, and height of the cuboid are 56cm, 40cm, and 16 cm.

Learn more about cuboid here:

https://brainly.com/question/19754639

#SPJ1

What are the 4 names of an angle?

Answers

The four names of an angle are acute angle, right angle, obtuse angle, and reflex angle.

An acute angle measures less than 90 degrees.

A right angle measures exactly 90 degrees.

An obtuse angle measures greater than 90 degrees but less than 180 degrees.

A reflex angle measures greater than 180 degrees but less than 360 degrees.

It's worth noting that these names are based on the measure of the angle, an acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a reflex angle is greater than 180 degrees but less than 360 degrees.

To know more on angles

https://brainly.com/question/15815174

#SPJ4

Cheese costs $1.80 per pound. Samira bought some cheese. She paid with a 5 dollar bill and got $1.40 in change. How many pounds of cheese did she buy?

Answers

Answer:

2 pounds of cheese

Step-by-step explanation:

First, we have to find out how much did she pay by taking

$5.00 - $1.40 = $3.60

So, she paid $3.60 in total. Then we find how many pounds of cheese she bought by taking

3.60 / 1.80 = 2 pounds of cheese

So, she bought 2 pounds of cheese.

Selena has 9 homemade bracelets for $12 each then 14 bracelets for $8 each. How much did she make in sales?

Answers

well selena has
9x12
9x10=90
9x2=18
9x12=108
14x8
10x8=80
4x8=32
14x8=112
112+108=220

Answer:

$220

Step-by-step explanation:

first let's make the $12 bracelets as Type1 and the $8 bracelets as Type2,

then we calculate the amount she made by selling each type.

Eq.1 : No. of Type1 bracelets Selena made = 9

         Amount she sold them for = $12

         Amount she made by selling them = 9*12

                                                                                   = $108

Eq.2 : No. of Type2 bracelets Selena made = 14

          Amount she sold them for = $8

          Amount she made by selling them = 14*8

                                                                               = $112

Now we calculate the Total Amount she made

we add both of the amounts

$108 + $112

= $220

Hope this helps :)

30 PTS: Please help me

You can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation? Define the domain and range of this function and describe reasonable values for each.

Answers

The function that will define the situation is y = 10x

The domain:  {0, ∞)

The range: {0, ∞)

How to write the function

The function that will define the situation is a linear function of the form

y = mx + c

definition of variable to suit the problem

y = output variable

m = slope

x = input variable

c = y intercept

The equation as described in the problem is represented using linear function as as follows

c = there is no condition defined here hence = 0

m = cost of per hour = $2.50

x = time in hours

y =  amount paid in hours

y = 10x

The domain in this case is time from 0 to infinity {0, ∞)

The range is also {0, ∞)

there are no limitations to hep set the range and domain

Learn more on  linear models at :

https://brainly.com/question/29650903

#SPJ1

What is the distance of 2/3 from the horizontal axis in Cartesian plane?

Answers

Distance of 2/3 from the horizontal axis is 2 for a cartesian plane.

What is cartesian coordinate system?

The coordinate system in where the location of a point is identified by a pair of numerical terms and that has two reference axis is termed as cartesian coordinate system.

In cartesian plane the reference axis are named as X - axis and Y -axis.

In this system, location of a point p is identified by p (x, y) that means x is the x coordinate of point p and y is the y coordinate of point p. Generally, X-axis is horizontal, and Y-axis is vertical. Both axes are intersected at the origin.

What is the distance of 2/3 from the horizontal axis in cartesian plane?

The point coordinate 2/3 denotes the location of a point with respect to a reference direction in the polar coordinate system. In the polar coordinate system, the angle between horizontal axis and a reference point is called polar angle. we know tan angle = vertical coordinate / horizontal coordinate.

hence, tan angle = 2/3

for this reason, if we imagine a cartesian coordinate system 2 is the y coordinate and 3 is the x coordinate.

Finally, the distance of 2/3 from the horizontal axis is 2.

To know more about cartesian coordinate system visit:

https://brainly.com/question/4726772

#SPJ4

Other Questions
provides an opportunity to getto know someone of the opposite sex outside your own family. What is a quotation and give two examples? The plasma membrane of E. coli is about 75% protein and 25% phospholipid by weight. How many molecules of membrane lipid are present for each molecule of membrane protein A mass of 1.5 kg moves in a circle of radius 25 cm at 2.0 Hz. Calculate:a) the velocity. b) the acceleration. c) the centripetal force acting on the mass. What general information do we need to research further to investigate the origin of life on Earth? Drag each tile to the correct box.Match the bolded words in the excerpts to their contextual meanings.unoriginalwell-groomednumerousHe was a gentleman from sole to crown, Clean favored and imperially slim.(from "Richard Cory" by Edwin Arlington Robinson)arrowBothThis debt we pay to human guile;With torn and bleeding hearts we smile,And mouth with myriad subtleties.(from "We Wear the Mask" by Paul Lawrence Dunbar)arrowBoth. . .if it must, these things are important not because a high-sounding interpretation can be put upon them but becausethey are useful. When they become so derivative as to becomeunintelligible, the same thing may be said for all of us, that we do not admire what we cannot understand. . . Jai is 1. 45 meters tall. At 11 a. M. , he measures the length of a tree's shadow to be 39. 55 meters. He stands 34. 1 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter What are examples of perfect square Trinomials? PLEASE HELP ASAP. I WILL GIVE BRAINLIEST!!!Which of the following is not an expression A. 7 - 5xB. 2 + 3x = 8C. x/2 + 1D. 2x + 6 Draw the structure of the diene that reacts with one equivalent of HBr to form the following two compounds as the only bromoalkene products what is an example of a modern-day type of business or industry that has experienced rapid growth? How are the provisions in the constitution of Nepal regarding cast and gender discriminations? Present some consultation. Which of the following is not an opportunity for effective management in the supply chain?O accurate "pull" dataO vendor-managed inventoryO bullwhip effect reductionO local optimization What is debate discussion method? What did the Supreme Court rule about Japanese internment? Alesandro, a manager at Harwood Publishing, gave a bad reference to a former employee. Alesandro could most likely be accused of ________ if the information is both false and harmful. Some of your technically proficient users have modified their company-issued Android smartphone to provide full device access in order to install apps requiring this permission. Which term best describes this scenario Out of 30 students surveyed, 17 have a dog. based on these results, predict how many of the 300 students in the school have a dog? which goal of the us constitution states that government should help provide for the well being of all the people Political instability within a country causes foreign direct investment to decrease dramatically, causing the economy to enter a recession, and decreasing real GDP from $80,000 to $50,000. What is the percent change in real GDP