Please help!! 50 POINTS!! Explain how you got each answer:
1. What is the growth rate for a country that has a total population of 11,000,000 with 320,000 births and 650,000 deaths?
2. What is the growth rate for a country that has 60,000 births and 50,000 deaths per year along with 20,000 people who immigrate in and 10,000 people who emigrate out? The total population is 20,000,000.
3. Belgium has a growth rate of 0.1% In how many years will it double its population?
4. Libya is doubling its population every 19 years. What is the growth rate?

Answer:103

Step-by-step explanation:DO exponent first which is 5 to the power of 2 .And 5 to the power of 2 equals to 25.Now following pemdas,do multiplcation first.So do 25 times 4 which gives you 100.Lastly add 3 to 100 which is 103.

The scatterplot between a predictor variable and an outcome with a non-linear relationship would not form a straight line, but rather a curved or nonlinear shape.

In linear regression, we assume that there is a linear relationship between the predictor variable and the outcome. However, this assumption may not hold in all cases, and there may be cases where the relationship between the two variables is not linear.

In such cases, a straight line may not be a good fit for the data, and a non-linear model may be more appropriate. In a scatterplot, a non-linear relationship would be indicated by a curve or a nonlinear shape rather than a straight line.

Examples of non-linear relationships include exponential, logarithmic, and polynomial relationships. It is important to identify and account for non-linear relationships when modeling data to ensure accurate and valid results.

To know more about variable, refer here:

https://brainly.com/question/2466865#

#SPJ11

Answer:

\(\huge\boxed{\sf x =\frac{7}{2} , y = -3}\)

Step-by-step explanation:

2x + 4y = -4 ------------------------(1)

3x + 5y = -3 ------------------------(2)

Multiply Eq. (1) by 3

3(2x + 4y) = -4 * 3

6x + 12y = -12 ---------------------(3)

Multiply Eq. (2) by 2

2(3x + 5y) = -3 * 2

6x + 10y = -6 ---------------------(4)

Subtract Eq. (4) from (3)

6x + 12y - ( 6x + 10y ) = -12 - (-6)

6x + 12y - 6x - 10y = -12 + 6

12y - 10y = -6

2y = -6

Divide 2 to both sides

y = -6 / 2

y = -3

Put y = -3 in Eq. (1)

2x + 4(-3) = -5

2x - 12 = -5

Add 12 to both sides

2x = -5 + 12

2x = 7

Divide 2 to both sides

x = 7 / 2

So,

x = 7 / 2 , y = -3

\(\rule[225]{225}{2}\)

Hope this helped!

Tangents are slopes, and there are two angles with the same slope that are 180 degrees apart, not to mention an infinite number of coterminal brethren all with the same tangent.  So this question is a bit ambiguous.

Let's assume they want the principal value of the inverse tangent, between -90 degrees and +90 degrees.  A tangent bigger than 1 means it will be between 45 and 90 degrees.

tan x = 2.246

x = arctan 2.246 = 66.00 degrees

Answer: 66

To find the volume of the solid, we can use integration.

Let's consider a cross section of the solid at a specific value of y. Since the cross sections perpendicular to the y-axis are squares, the side length of each square will be equal to 2 times the corresponding y-value. In other words, for a given y, the side length of the square cross section will be 2y.

The area of each square cross section is then (2y)^2 = 4y^2.

To find the volume, we integrate the area of each square cross section over the range of y-values that span the circular base. Since the base has a radius of 10, the range of y-values is from -10 to 10.

Therefore, the volume of the solid can be computed using the following integral:

V = ∫[-10,10] 4y^2 dy

Integrating, we get:

V = [4/3 y^3] from -10 to 10

V = 4/3 (10^3 - (-10)^3)

V = 4/3 (1000 - (-1000))

V = 4/3 (2000)

V = 8000/3

So, the volume of the solid is 8000/3 cubic units.

Learn more about perpendicular here :

https://brainly.com/question/29268451

#SPJ11

Given data:

The given expression is 1+1.

The value of the given expression is,

Thus, the value of 1+1 is 2.

The vertex and range of h(x) include the following: C. vertex (−3, 3); Range 3 ≤ y ≤ ∞.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Based on the information provided about this quadratic equation, it comprises the following ordered pairs;

(-6, 12), (-5, 7) and (-4, 4).

Substituting the ordered pairs into the standard form of a quadratic equation, we have:

a(-6)² + b(-6) + c = 12

36a - 6b + c = 12       .......equation 1.

a(-5)² + b(-5) + c = 7

25a - 5b + c = 7       .......equation 2.

a(-4)² + b(-4) + c = 4

16a - 4b + c = 4        .......equation 3.

Subtracting equations 1 and 2, we have:

11a - b = 5

Subtracting equations 2 and 3, we have:

9a - b = 3

9a - (11a - 5) = 3

9a - 11a + 5 = 3

-2a = -2

a = 1

b = 11a - 5 = 11 - 5 = 6.

For the value of c, we have:

c = 4 + 4b - 16a = 4 + 4(6) - 16(1)

c = 12.

Therefore, the required quadratic equation is given by:

ax² + bx + c = 0

x² + 6x + 12 = 0

For the vertex, we have:

x = -b/2a = -6/2(1) = -3

When x = -3, the y-value is given by:

y = (-3)² + 6(-3) + 12

y = 3.

Therefore, the vertex is (-3, 3).

Read more on quadratic equation here: https://brainly.com/question/30849243

#SPJ1

Answer:

C

Step-by-step explanation:

took the test :)

The  probability that exactly 5 runners will pass by Roger's house in a day is approximately 0.051, rounded to the thousandths digit.

This is a problem of the Poisson distribution. We can use the formula:

P(k events in interval) = (lambda^k * e^(-lambda)) / k!

where lambda is the expected number of events in the interval, and k is the number of events we want to calculate the probability for.

In this case, lambda = 9 and k = 5. So we can plug in the values and calculate:

P(5 events in a day) = (9^5 * e^(-9)) / 5! = 0.051

So the probability that exactly 5 runners will pass by Roger's house in a day is approximately 0.051, rounded to the thousandths digit.

Visit to know more about Probability:-

brainly.com/question/13604758

#SPJ11

The mathematical phrase "e to the ipi" is composed of the imaginary unit i (the square root of -1 raised to the power of pi), which is symbolized by "pi," and the mathematical constant "e" (Euler's number).

The expression "e to the ipi" may be expressed as follows:

\(e^{(i*pi)}\)

The following formula is known as Euler's formula:

\(e^{(ipi)}\) = cos(pi) + isin(pi)

where "cos" and "sin" are the sine and cosine functions, respectively.

We may reduce this formula to using the cosine and sine trigonometric identities.

\(e^{(i*pi)}\) = -1

"e to the ipi" hence equals a negative one. This startling and outstanding finding ties together various crucial mathematical ideas, including calculus, complex numbers, and trigonometry.

Learn more about Euler's number at

https://brainly.com/question/6459192

#SPJ4

False, The eigenvalues of a matrix A are not same as the eigenvalues of the reduced row echelon form of A.

A matrix's eigenvalues are not the same as those of the matrix's reduced row echelon form, contrary to what is claimed.

This is due to the fact that when a matrix is reduced to its echelon form via row operations, its eigenvalues may not always stay the same. The eigenvalues of a matrix may be different in the reduced row echelon form than they are in the original matrix as a result.

Think about these matrices as an illustration:

Likewise, B's reduced row echelon form is B, and B's eigenvalues are both 1.

A = [1 2; 2 1]

and

B = [1 0; 0 1].

The eigenvalues of a matrix and its reduced row echelon form are thus typically not the same.

Learn more about Matrix:

https://brainly.com/question/9967572

#SPJ4

FALSE. The eigenvalues of a matrix A are NOT the same as the eigenvalues of the reduced row echelon form of A.

Explanation:

Eigenvalues are scalar values that, when multiplied by an eigenvector, produce the same effect as the original matrix A on that eigenvector. Mathematically, for a matrix A and its eigenvector v, Av = λv, where λ is the eigenvalue.

Row echelon form is a matrix transformation using elementary row operations to obtain a triangular form. The reduced row echelon form (RREF) is a further simplified version of the row echelon form.

However, transforming a matrix A to its RREF changes the properties of the matrix, and therefore the eigenvalues of matrix A and its RREF are generally not the same. The eigenvalues are preserved only under specific matrix transformations, such as similarity transformations, which row echelon form is not one of them.

To learn more about Eigen values : brainly.com/question/30967600

#SPJ11

In summary, when the two new children (ages four and twelve) are added to the existing group, the mean age increases from 8 to 8, and the standard deviation changes from its original value to approximately 3.74.

To determine the effect of adding two children (ages four and twelve) to the existing group of five children (ages five, six, eight, nine, and twelve) on the mean and standard deviation of ages, we need to calculate the new values.

Let's calculate the mean first:

Calculate the sum of the ages of the initial five children:

5 + 6 + 8 + 9 + 12 = 40

Add the ages of the two new children:

40 + 4 + 12 = 56

Calculate the new mean by dividing the sum by the total number of children (5 initial + 2 new):

56 / 7 = 8

Therefore, the new mean age is 8.

Now let's calculate the standard deviation:

Calculate the squared difference between each age and the mean for the initial five children:

\((5 - 8)^2 + (6 - 8)^2 + (8 - 8)^2 + (9 - 8)^2 + (12 - 8)^2 = 54\)

Calculate the squared difference between each new age and the new mean:

\((4 - 8)^2 + (12 - 8)^2 = 80\)

Calculate the sum of the squared differences for the initial five children and the new children:

54 + 80 = 134

Divide the sum of squared differences by the total number of children (5 initial + 2 new) and take the square root:

√(134 / 7) ≈ 3.74

Therefore, the new standard deviation is approximately 3.74.

To know more about mean,

https://brainly.com/question/15744601

#SPJ11

Here's a step-by-step explanation:

1. You are given the velocity function: v(t) = 6 + e^(-2t)
2. To find the position function s(t), we need to integrate the velocity function with respect to t.
3. Integrate v(t) with respect to t: ∫(6 + e^(-2t)) dt
4. Apply the rules of integration: ∫6 dt + ∫e^(-2t) dt
5. Integrate each term separately: 6t - (1/2)e^(-2t) + C
6. The position function s(t) is: s(t) = 6t - (1/2)e^(-2t) + C

In the position function s(t) = 6t - (1/2)e^(-2t) + C, C is the integration constant, which depends on the initial position. If you are given an initial condition, you can determine the value of C. Otherwise, the position function will remain in this general form.

To learn more about Position function - brainly.com/question/28939258

#SPJ11

Answer:

1. 3 times x

2. 3 times 4

                    U get 5x-3x+12

3. 5x-3x

                    u get 2x

4. Final solution: 5x+12

Step-by-step explanation:

The analytical definition of a parabola states that the set of points in a plane is equidistant from a fixed point called "focus" and a fixed line called the "directrix line".

The analytical definition of a parabola states that "set of all points in a plane are equidistance from the focus and the directrix of the parabola where the focus is not on the line.

The equation of a parabola is

y = ax² + bx + c

or

y = a(x - h)² + k

Here the coordinates (h, k) of a point on the parabola is said to be its "vertex" and the "focus" is at (h, k + 1/4 a).

Learn more about a parabola here:

https://brainly.com/question/25651698

#SPJ1

Answer:

w = -5x^2+20x+160/x

Step-by-step explanation:

Divide both sides by x and since you can't divide -5(x-8)(x+4) by x, it becomes a fraction resulting the answer to be w = -5x^2+20x+160/x.

I may be wrong, it's been a while since I solved these types

In geometry, projection is the mapping of a 2D or 3D figure onto a flat or 3D surface. For our purposes, we think of a projection as an association between a point on an object and a point on a plane .

Projection:

In geometry, projection is the mapping of a 2D or 3D figure onto a flat or 3D surface. For our purposes, we think of a projection as an association between a point on an object and a point on a plane (called the image plane). This association - between a geometrical figure and its image - is the branch of geometry which studies projection, including the study of the properties conserved under the projection, from the name of projective geometry, which is abolished by dotted lines on the figures à The corresponding points are on the image in the image plane. These lines are called projection lines.

Descriptive Geometry:

Descriptive geometry is the branch of geometry that allows the representation of three-dimensional objects in two dimensions using a specific set of procedures. The resulting technology is important for engineering, architecture, design and the arts. Planar geometric projections provide a theoretical basis for describing geometry. The first known publication on this technique is "Underweysung der Messung mit dem Zincked und Richtscheyt", published by Albrecht Dürer in Linien in Nuremberg in 1525. The Italian architect Guarino Guarini was also a pioneer of projective and descriptive geometry, as in witness his Placita Philosophica (1665), Euclides Adauctus (1671) and Architettura Civile (1686 - not published before 1737). He anticipated the work of Gaspard Monge (1746)-1818), who is generally considered the inventor of descriptive geometry. Gaspard Monge is often considered the "father of descriptive geometry" due to his developments in solving geometric problems. His first discoveries were made in 1765 while working as a draftsman for military fortifications, although his findings were published later.

Learn more about Point:

https://brainly.com/question/1590611

#SPJ4

Answer:

Step-by-step explanation:

Mass = volume * density

Mass  = 12*25 = 300 g

Answer:

300 g

Step-by-step explanation:

density = mass / volume

25g/cm^3 = mass / 12 cm^3

25 * 12 = mass

300 = mass

Answer:

\( \sqrt{36} < \sqrt{44} < \sqrt{49} \\ 6 < 6.6 < 7 \\ \\ it \: is \: betwen \: 6 \: and \: 7\)

Answer:

I think because the absolute value is always a positive number.

Step-by-step explanation:

The respective values in gigabytes (G) using the 2 to the power notation based on the 1G = \(2^3^0\) relationship are 10M = 0.01G, 100M = 0.1G, 110M = 0.11G

To convert values using the 2 to the power notation, we can use the relationship that 1G equals 2 to the power of 30 (\(2^3^0\)).

Here's how to express 10M, 100M, and 110M using this notation:

1. 10M:

To convert 10M (10 million) to the 2 to the power notation, we need to express it in terms of G (gigabytes).

Since 1G is equal to \(2^3^0\), we can calculate the value of 10M as follows:

  10M = (10/1000)G = 0.01G

Therefore, 10M is equivalent to 0.01G.

2. 100M:

Similarly, to express 100M (100 million) in the 2 to the power notation:

  100M = (100/1000)G = 0.1G

Therefore, 100M is equivalent to 0.1G.

3. 110M:

For 110M (110 million) in the 2 to the power notation:

  110M = (110/1000)G = 0.11G

Therefore, 110M is equivalent to 0.11G.

To know more about gigabytes refer here:

https://brainly.com/question/18271391#

#SPJ11

Answer:3048.7804878

Step-by-step explanation:

I took the same test p.s. you may need to round.

Answer:

the answer is c

Step-by-step explanation:

add 14 9 times and then whatever that number is double it and remove the negative sign

The homogeneous system response y[n] is given by:

y[n] = A(sqrt(3.4) / 2)^n * cos(arctan(-1.1667)n) + B(sqrt(3.4) / 2)^n * sin(arctan(-1.1667)n)

To find the homogeneous system response y[n] for the given equation, we need to solve the characteristic equation.

The characteristic equation for the given system is:

z^2 - 1.4z + 0.85 = 0

To solve this equation, we can use the quadratic formula:

z = (-b ± sqrt(b^2 - 4ac)) / (2a)

Here, a = 1, b = -1.4, and c = 0.85.

Substituting these values into the quadratic formula, we get:

z = (-(-1.4) ± sqrt((-1.4)^2 - 4(1)(0.85))) / (2(1))

Simplifying further, we have:

z = (1.4 ± sqrt(1.96 - 3.4)) / 2
z = (1.4 ± sqrt(-1.44)) / 2

Since we have complex roots for the characteristic equation, the system response will have a form of:

y[n] = A(r_1)^n * cos(θn) + B(r_1)^n * sin(θn)

Here, r_1 is the magnitude of the complex root, and θ is the angle in radians.

Let's find the values of r_1 and θ:

r_1 = sqrt(1.4^2 + (-1.44)) / 2
   = sqrt(1.96 + 1.44) / 2
   = sqrt(3.4) / 2

θ = arctan((-1.4) / sqrt(-1.44))
  = arctan((-1.4) / (i * sqrt(1.44)))
  = arctan(-1.4 / i * sqrt(1.44))
  = arctan(-1.4 / 1.2)
  = arctan(-1.1667)

Therefore, the homogeneous system response y[n] is given by:

y[n] = A(sqrt(3.4) / 2)^n * cos(arctan(-1.1667)n) + B(sqrt(3.4) / 2)^n * sin(arctan(-1.1667)n)

Note: The values of A and B can be determined from the initial conditions y[-1] = 2 and y[-2] = -2.

Learn more about homogeneous system  from given link

https://brainly.com/question/30465708

#SPJ11

The point that satisfy linear quadratic  system of equation are (1,0) and (4,-3)

A linear equation is an algebraic equation in which each term has an exponent of 1, and which, when plotted on a graph, always yields a straight line. It is called a "linear equation" for this reason. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

we have x + y = 1  ......... (i)

y=4x-3-x²...... (ii)

put y=4x-3-x² in equation (i)

x + y = 1

x + 4x - 3 - x^2 = 1

-x^2 + 5x - 4 = 0

(-x + 1)(x - 4) = 0

-x + 1 = 0      

-x = -1            

x = 1              

To find the value of y put x=1 in equation ii

 y = 4x - 3 - x^2

        y = 4(1) - 3 - 1^2

     y = 4 - 3 - 1 = 0

similarly.

x - 4 = 0        y = 4x - 3 - x^2

x = 4             y = 4(4) - 3 - 4^2

                    y = 16 - 3 - 16

                     y = -3

so the point that satisfy linear quadratic  system of equation are (1,0) and (4,-3)

To know more about linear equation visit: brainly.com/question/11897796

#SPJ4

we have x + y = 1  ......... (i)

y=4x-3-x²...... (ii)

put y=4x-3-x² in equation (i)

x + y = 1

x + 4x - 3 - x^2 = 1

-x^2 + 5x - 4 = 0

(-x + 1)(x - 4) = 0

-x + 1 = 0      

-x = -1            

x = 1              

To find the value of y put x=1 in equation ii

y = 4x - 3 - x^2

y = 4(1) - 3 - 1^2

y = 4 - 3 - 1 = 0

similarly.

x - 4 = 0        y = 4x - 3 - x^2

x = 4             y = 4(4) - 3 - 4^2

                    y = 16 - 3 - 16

                    y = -3

so the point that satisfy linear quadratic  system of equation are (1,0) and (4,-3)

Answer:

5

Step-by-step explanation:

keep change flip

   3         -       -2

3 + 2

Answer:

$900.929

Step-by-step explanation:

hope it helps you

please mark me as brainlist

Answer:

Three times the sum of x and seven plus ten

Step-by-step explanation:

Just did this test

100th digit of the pi is 7

Pi (represented by the Greek letter π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159,

The decimal representation of pi (π) is an infinite non-repeating sequence of digits, so there is no simple formula or algorithm to determine the value of its digits. However, you can use a computer program or online tool to calculate the digits of pi to a certain number of decimal places.

Assuming you are looking for the 100th decimal digit of pi, it is 7. This means that if you write out the first 100 digits of pi, the 100th digit is 7.

Learn more about Pi here

brainly.com/question/16277677

#SPJ4

Answer: D) 15.7

Step-by-step explanation:

Start with the formula C=2 πr

Then solve for r r=C2π = 98.62·π = 15.69(7)204

The radius of the circle is 15.7 mm.

The route or boundary that encircles any shape in mathematics is defined by the shape's circumference.

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle.

We have,

The circumference of Circle = 2πr

Also, The circumference of a circle is 98.596 millimeters.

So, circumference of Circle = 2πr

98.596 = 2πr

98.596 = 6.28r

r= 98. 596 / 6.28

r = 15.7 mm

Thus, the radius is 15.7 mm.

Learn more about Circumference here:

https://brainly.com/question/28757341

#SPJ2