GDP Gross Domestic Product (GDP) is a measure of a country’s wealth. Indonesia had an estimated GDP in 2017 of 1,020,515,000,000. Madagascar had an estimated GDP of 10,372,000,000 in 2017. About how many orders of magnitude as great is Indonesia’s GDP?

Answer:

slope=-5/2 and equation of line y=-5/2x+3

Step-by-step explanation:

we find the slope by using formula =y2-y1/x2-x1

Answer: Otis should borrow the money for 60 months (5 years) so he can afford his monthly payment of $200.

Step-by-step explanation: To calculate the duration of the loan, we can use the formula:

Duration (in months) = Loan amount / Monthly payment

In this case, the loan amount is $10,000, and the monthly payment is $200. So by substituting the values, we get:

Duration (in months) = 10000 / 200 = 50

The duration of the loan is 50 months, however, the bank offers him a rate of 7.5%.

To calculate the total interest, we can use the formula:

Total Interest = Loan amount * Interest Rate * Duration (in months) / 12

The total interest is = 100007.5/10050/12 = 3750

So the Otis will have to pay an additional $3750 in interest over the course of the loan.

So, the total amount he will have to pay is 10000+3750 = 13750

And the time duration to pay this amount is 60 months ( 5 years)

Note: As per the information provided, the interest rate is not annual, it is monthly. So, it is not necessary to divide it by 12 in the interest formula. The equation should be Total Interest = Loan amount * Interest Rate * Duration (in months)

A new form of the triple integral [tex]\int\limits^1_0\int\limits^x_0\int\limits^y_0 {f(x,y,z)} \, dzdydx[/tex] as a = 0, b = 1, g2(z) = 1, h2(y,z) = 1.

In other words, we want the integration order to be totally reversed for

[tex]\int\limits^1_0\int\limits^x_0\int\limits^y_0 {f(x,y,z)} \, dzdydx[/tex]

Keep in mind that this area is quite simple to define. The planes z = y and y = x, as well as the coordinate planes x=y=z=0 , define our boundaries. We essentially have upper bounds z = y = x = 1 because x ∈[ 0, 1 ]. Therefore, we can alternatively express the region as:-

0 ≤ x ≤ y

0 ≤ y ≤ z

z∈ I0,1I. So

[tex]\int\limits^1_0\int\limits^x_0\int\limits^y_0 {f(x,y,z)} \, dzdydx = \int\limits^1_0\int\limits^z_0\int\limits^y_0 {f(x,y,z)} \, dxdydz[/tex]

Remember that a double integral could be set up in two different ways. Our number of alternative orders of integration increases from two to six when we include that third integral. We will rewrite the supplied integral in one of the other five possible orders in this exercise.

hence,

[tex]\int\limits^1_0\int\limits^x_0\int\limits^y_0 {f(x,y,z)} \, dzdydx = \int\limits^1_0\int\limits^z_0\int\limits^y_0 {f(x,y,z)} \, dxdydz[/tex]

Therefore, the new form of the triple integral [tex]\int\limits^1_0\int\limits^x_0\int\limits^y_0 {f(x,y,z)} \, dzdydx[/tex] as a = 0, b = 1, g2(z) = 1, h2(y,z) = 1.

To learn more about triple integral visit : brainly.com/question/29418559

#SPJ4

Answer:

it should be 8 years and at 8 years they will both be 31 ft tall

Step-by-step explanation:

If Csc(θ) =  1.7894 then θ = 34°.

Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.

Given:

Csc(θ) =  1.7894

To find the value of θ:

θ = Csc⁻¹(1.7894)

By the Cosecant calculator,

θ = 34°

Therefore, the value of θ = 34°.

To learn more about the trigonometric identities;

https://brainly.com/question/24377281

#SPJ1

One of the most popular dance types of the sixteenth century was the pavane, another one are galliard and allemande.

Instruments in math are tools or processes used to perform mathematical operations and calculations. Examples of instruments in math include calculators, rulers, compasses, protractors, and computers. These instruments can be used to solve problems, analyze data, and understand mathematical concepts. Additionally, instruments in math can be used to teach students about problem-solving and allow them to gain a deeper understanding of mathematics.

This was a slow, stately dance, usually in duple meter, that was popular in courts and societies across Europe. It was usually accompanied by lute or harpsichord and sometimes with viols. The pavane was often used as a ceremonial dance in courts and was usually performed by couples.

Another popular dance type of the sixteenth century was the galliard. This was a lively, energetic dance, usually in triple meter, that was popular in courts and societies across Europe. It was usually accompanied by lute or harpsichord and sometimes with viols. The galliard was often used as a dance for entertainment and was usually performed by couples.

The third popular dance type of the sixteenth century was the allemande. This was a slow, stately dance, usually in duple meter, that was popular in courts and societies across Europe. It was usually accompanied by lute or harpsichord and sometimes with viols. The allemande was often used as a ceremonial dance and was usually performed by couples. It was usually danced in a line or circle formation, with each dancer taking the lead in turn.

To know more about century in math click-
https://brainly.com/question/28729901
#SPJ4

Answer:

(1, -7)

Step-by-step explanation:

(x,y)  ⇒ (y, x)

(1,-7) ⇒(-7,1)

The inequality that satisfies the number of hours of volunteer work that saul could complete each month to meet his goal is 21 hours.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Different types of inequalities are represented by a variety of notations, including:

The symbol a <  b indicates that a is smaller than b.

When a > b is used, it indicates that an is bigger than b.

Given,

Hours Saul plans to volunteer in the 9-month period = 225 hours

Also,

Hours of volunteering he has already completed = 36 hours

=> Number of hours left = 225 - 36 =189 hours

Number of months= 9

=> Minimum number of hours he has to volunteer per month

=> [tex]\frac{Number of hours left}{Number of months}[/tex]

=>[tex]\frac{189}{9}\\ 21 hours[/tex]

=>Minimum number of hours saul has to volunteer per month ≥ 21 hours

Therefore, The number of hours of volunteer work that saul could complete each month to meet his goal is 21 hours.

To know more about inequalities  refer to:

brainly.com/question/30231190

#SPJ4

Therefore , the solution of the given problem of unitary method comes out to be the cost of soap after 2005 is $ 2.6145.

To finish a work using the unitary strategy, multiply the quantity with two after determining the size of a small slice. The unit variable technique, to put it simply, works to isolate a coded object from a specific group or sets of sets. For instance, 40 pens would cost 400 pounds (expression $1.01) = Rs. There is a chance that one nation will have complete control over the technique used to do this. Almost all living things have a unique trait..

Here,

Given :

=> Cost of soap $2.49 in 2003

=> Cost of soap in 2005

=> 2.49 + 5/100 * 2.49

=> 2.49 + 0.1245

=> 2.6145

Therefore , the solution of the given problem of unitary method comes out to be the cost of soap after 2005 is $ 2.6145.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

We can also check if the function's equation is in the form y = mx + b.

What is function's equation ?

A function's equation is a mathematical statement that defines the relation between the input (also known as independent variable) and output (also known as dependent variable) of a function. The equation is typically represented by the letter "y" for the output, and one or more letters for the input (usually "x").

To determine whether a function has a constant or variable rate of change, we need to find the slope or rate of change between two points on the function. If the slope remains the same no matter what two points we choose, the function has a constant rate of change and is linear. If the slope changes depending on the two points we choose, the function has a variable rate of change and is nonlinear.

To determine whether a function is linear or nonlinear, we can also check if the function's equation is in the form y = mx + b, where m and b are constants. If it is, the function is linear, otherwise it is nonlinear.

It's important to mention that, in order to have a definitive answer, we need the function to be defined.

We can also check if the function's equation is in the form y = mx + b.

To learn more about function's equation visit : brainly.com/question/22964920

#SPJ4

The shortest segment in the given figure is EF

When two rays are united at a common point, then an angle is created. The two rays are referred to as the arms of the angle, while the common point is referred to as the vertex.

The geometric relationship between sides and interior angles is defined by the angle-side relationship theorem.

According to the angle-side relation theorem,

1. The lowest angle in each triangle lies opposite the shortest side.

2. The largest side is located across from the largest angle.    

3. The opposite of the second-largest side is the second-largest angle.          

Here we have    

EFGH is a quadrilateral and the given angles are

∠HEG = 68°, ∠EFG = 65°, ∠EGF = 55°, and ∠HGE = 71°    

The smallest angle in the given figure is ∠EGF = 55° which is opposite to the line segment EF

Therefore,

The shortest segment in the given figure is EF

Learn more about Sides and Interior Angles at

https://brainly.com/question/19096572

#SPJ1

The following are the valid bases for an exponential function:

An exponential function has the form f(x) = ab^x, where a and b are constants, and b is greater than 0 but not equal to 1. In this case, C, D, E, F, and G all have the correct form of an exponential function.

Options A, B and H are incorrect because:

The options C, D, E, F, and G are valid exponential functions because they have the correct form of f(x) = ab^x, where a and b are constants, and b is greater than 0 but not equal to 1.

The base can be negative or fractional, but as long as it's a constant, it's still a valid exponential function.

Learn more about exponential function here: brainly.com/question/2456547

#SPJ4

Answer:

Step-by-step explanation:

A rational number is a number that can be expressed as a ratio of two integers, or as a fraction. A rational number is any number that can be written in the form a/b, where a and b are integers and b is not equal to zero.

In this case, the correct answer is d. 5.3333333.... This number can be written as a fraction in the form 5 3/9, which is a ratio of two integers and thus a rational number.

The other three choices are not rational numbers because they are repeating decimals, or irrational numbers. An irrational number is a number that cannot be written as a ratio of two integers. Irrational numbers are numbers that are not rational.

We may use the ratio of length to width and the new length of the image to determine the width of the enlarged image.

Step 1: The original image's length to width ratio is 5:2, which may be expressed as 5/2.

Step 2: We are aware that the enlarged image is 15 inches long.

Step 3: We may apply the formula length/width = new length/new width to determine the width of the enlarged image. The known values of the original ratio and the new length can be substituted in: 5/2 = 15 inches / new width.

Step 4: To find the new width, we must cross multiply and divide, so multiply the new width by 5/2 to get 15 inches, and divide both sides by this number to get 6 inches.

  Therefore, The expanded image has a 6 inch width.

To know more about ratio at :

brainly.com/question/2328454

#SPJ4

to calculate calculate mean and standard deviation after transforming a random variable combining random variables, use the formulae for both the expected and standard deviation of such a linear combination with random variables.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered. The deviation of each observed value from the mean is measured using this metric. The majority of data in any distribution will fall within a 2 standard deviation range of the mean.

To know more about standard deviation refer to:

https://brainly.com/question/475676

#SPJ4

Answer:

Not too sure about the name of specific theorem but:

1. ABC = DEF, BCA = EFD and CAB = FDE

Same angles

2. The ratio of 2 sides is the same

[tex]\frac{ab}{ac} = \frac{de}{df} \: \\ \frac{2}{3} = \frac{4}{6} [/tex]

3. The ratio of 2 sides is the same

[tex]\frac{ab}{ac} = \frac{de}{df} \: \\ \frac{2}{4} = \frac{10}{20} [/tex]

Answer:

x^2 +xy+3x+2y+2

Step-by-step explanation:

(x+2)(x+y+1)

Apply the distributive property by multiplying each term of x+2 by each term of x+y+1.

x^2+xy+x+2x+2y+2

Combine x and 2x to get 3x

x^2 +xy+3x+2y+2

Answer: x^2+xy+3x+2y+2

Step-by-step explanation:

Expand and simplify

Answer:

Step-by-step explanation:

This problem can be solved using a technique called the Pigeonhole Principle. The Pigeonhole Principle states that if n+1 or more objects are placed into n pigeonholes, then at least one pigeonhole will contain two or more objects.

In this problem, we have 1600 delegates divided into 16000 committees of 80 persons each. We can think of each delegate as an object and each committee as a pigeonhole. Since 1600 delegates are placed into 16000 pigeonholes, we know that by the Pigeonhole Principle, at least one pigeonhole will contain two or more delegates.

In other words, there must be at least one committee that has at least two delegates in common with another committee. We can prove that there will be at least four common members by assuming the worse scenario where each committee is formed by different people, and noting that there are more delegates than the number of committees, so it's impossible that all committees have different members, and therefore there will be at least four common members.

Therefore, it is possible to find two committees having at least four common members.

you were in the garden, there are 34 people in the yard. 30 people left. 35 people are in the garden. This can be solved using addition.

Mathematically, addition is the process of merging several numbers together. The numbers that are being added are known as addends, and the outcome of the addition process, or the answer we ultimately obtain, is known as the sum. It is a fundamental mathematical operation that we employ on a daily basis. We add numbers in many different contexts. In arithmetic sums, the plus sign (+) is used to indicate addition.

The combination of at least two integers constitutes basic addition. Once a student has mastered counting, they may begin to study basic addition. By locating the addend at the top of the chart and tracing down to the row of the second addend, they may utilize an addition chart as a learning tool.

Given that,

there are 34 people in the yard.

Among them 30 people left.

Thus, (30 dead + 4 living + you ) = 35 people are in the garden.

To know more about addition refer to:

https://brainly.com/question/24536701

#SPJ4

II-3 --> aa

I-2 --> Aa

III-1 --> Cannot determine

II-6 --> Aa

II-2 --> Cannot determine

II-4 --> Cannot determine

In object-oriented programming, inheritance is the technique that allows one object or class to be based on another while keeping comparable implementation. Also described as deriving new classes from existing ones, such as a superclass or a baseclass, and then organizing them into a class hierarchy. Inheritance refers to the assets that a person leaves to their loved ones when they die. An inheritance may include cash, stock or bond investments, and other assets such as jewelry, vehicles, art, antiques, and real estate.

Here,

II-3 --> aa

I-2 --> Aa

III-1 --> Cannot determine

II-6 --> Aa

II-2 --> Cannot determine

II-4 --> Cannot determine

To know more about inheritance,

https://brainly.com/question/29705431

#SPJ4

The match of the following will be:

II-3 --> aa

I-2 --> Aa

III-1 --> Cannot determine

II-6 --> Aa

II-2 --> Cannot determine

II-4 --> Cannot determine

In object-oriented programming, inheritance is the technique that allows one object or class to be based on another while keeping comparable implementation. Also described as deriving new classes from existing ones, such as a superclass or a baseclass, and then organizing them into a class hierarchy. Inheritance refers to the assets that a person leaves to their loved ones when they die. An inheritance may include cash, stock or bond investments, and other assets such as jewelry, vehicles, art, antiques, and real estate.

Here,

II-3 --> aa

I-2 --> Aa

III-1 --> Cannot determine

II-6 --> Aa

II-2 --> Cannot determine

II-4 --> Cannot determine

To know more about ,

https://brainly.com/question/10684929

#SPJ4

The population of each country will become double in 47 years.

Given that,

The population of the Dominican republic is, n = 10.7 million.

The growth rate of the Dominican republic is, p = 1.5 %.

The population of Paraguay is, n' = 6.0 million.

The growth rate of Paraguay is p' = 1.5 %.

The doubling time of population growth depends on the rate of population growth.

Here,

n is the final population and n0 is the initial population and doubling the value in the future, n= 2*n0.

Solving this, we get:

t= ln (2*n0/n0)/(1.5/100) = 47 years.

Thus, we can conclude the population of each country will become double in 47 years.

To learn more about the population model visit: brainly.com/question/22852351

#SPJ4

The percentage by which the orangutan population has changed is 92.23%

We know that the formula for the relative change.

R = |x2 - x1| ÷ x1

where x2 is the final value

and x1 is the initial value

R is the relative change

Here, the orangutan population has changed from 1900 when there were 85,000 orangutans to the present day when there are about 6,600 orangutans.

This means, x1 = 85000 and x2 = 6600

So, the relative change would be,

R = |6600 - 85000| ÷ 85000

R = 78400 / 85000

R = 0.9223

and the percentage change would be,

P = R × 100

P = 0.9223 × 100

P = 92.23%

Therefore, the percentage change = 92.23%

Learn more about the percentage here:

https://brainly.com/question/16797504

#SPJ4

Answer:

A,B,D

Step-by-step explanation:

(A) is correct because 5*900+15*300>4000

(B) is correct because 15*900+5*300>4000

(D) is correct because C+P must be less than or equal to 25

The length of HE is 4 units.

Given that GH is tangent to both circle A and circle E, we can use the property of tangents that states that a tangent line to a circle is perpendicular to the radius drawn to the point of tangency.

If we let r be the radius of circle A and circle E, and let HE be the length of the line segment from the center of the circles to the point of tangency, we can use the Pythagorean Theorem to determine the length of HE.

The Pythagorean theorem is a fundamental result in mathematics that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Since GH is tangent to both circles, it is perpendicular to the radius of both circles and we can create a right triangle with legs HE and r. We can use the Pythagorean theorem to find the length of HE

HE^2 + r^2 = GH^2

We can use the information given to find the value of GH, then we can solve for HE using the equation above.

We know that GH is tangent to both circles, which means that GH is equal to the diameter of both circles. So GH = 2r

Substituting this value into the equation above:

HE^2 + r^2 = (2r)^2

HE^2 = 2r^2 - r^2 = r^2

HE = √(r^2) = r

Given that HE = r and r = radius of circle A and Circle E, HE = radius of Circle A = radius of Circle E.

Therefore, the length of HE = radius of Circle A or Circle E = 4 units.

So, the length of HE is 4 units.

To know more about the Pythagorean theorem refer to:

brainly.com/question/14930619

#SPJ4

Converting 46.1031 to 4 significant figures, we have 46.10.

Rounding off numbers implies reducing the number of digits in a given number to a preferred length. The two modes are significant figures, or decimal places.

Decimal places requires reducing the numbers of digits in a given number to a required number but considering the position of the decimal point. In significant figures, the length of the given number is reduced to a required number by not considering the position of the decimal.

In the given question, we are to convert 46.1031 to 4 significant figures.

This can be done by counting four digits, and rounding off the digits after.

So that we have;

46.1031 = 46.10 (4 sf)

Learn more about significant figures of numbers at https://brainly.com/question/24491627

#SPJ1

The conversation of 46.1031 to 4 significant figures would be = 46.10

A four significant figures are those figures that shows that all zeros to the right of the last significant zero after the decimal point.

From the given figure such as 46.1031, to convert to four significant figures, 46.10

Learn more about significant figures here:

https://brainly.com/question/24491627

#SPJ1

Answer:

Step-by-step explanation:

3x² + 2 * 3x * 5 - 5²

= 3x^2 +2 * 3x * 5 - 25 ( then do 2*3x*5 = 30x)

=3x^2+30x-25

Therefore , the solution of the given problem of average comes out to be the box is the population for selecting 8 cables from that box.

The exact number in the mean of an ordered dataset is known as the median value. A maximum likelihood measure, often known as an average, is the difference between the min and max 50% of the data. The median and mode are calculated using various formulae depending on whether there are an odd or perhaps even number of data points.

Here,

Since every member of the population has a newspaper subscription, all but 8% of them make up the sample.

A sample is (B)

4, where the population to be sampled is one box chosen from the available 4. C) The one of the four boxes that was randomly selected.

The population for choosing a box seems to be of size 4, and the box is the population for selecting 8 cables from that box.

Therefore , the solution of the given problem of average comes out to be the box is the population for selecting 8 cables from that box.

To know more about average , visit

https://brainly.com/question/24057012

#SPJ4

On solving the provided question, we can say that since an equilateral triangle so, each angle will be 60

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

since an equilateral triangle has a side measure of 10 in.

and it is a equilateral triangle

so, all sides will be 10

so, each angle will be 60

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ4