in 2000 the population of Africa was 807million and by 2011 it had grown to 1052million.find the exponential growth function that models the data
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Answer:I think being honest with them just tell them how you really feel not because just they ask and you just say I am fine how are you just tell how you really feel about that day. Be honest ...

Step-by-step explanation:

How I've been today? Quite magnificent. Thank thou for your generosity.

Answer

[tex] - 5 \sin(5x) [/tex]

Answer:

0.01 %

Step-by-step explanation:

The interest rate is the percentage of the principal (the amount borrowed) that is charged as interest over a certain period of time.

To find the interest rate, we can use the formula:

Interest Rate = Interest / Principal x Number of days / 365

We know that the principal is 600$, the interest is 14.25$ and the number of days is 90

so we can substitute the values into the formula:

Interest Rate = 14.25 / 600 x 90 / 365

Interest Rate = 0.02375 * 90 / 365

Interest Rate = 0.0104

Rounded to the nearest thousandth, the interest rate is 0.010 or 0.01 %

The exact value of x depends on the context of the problem. Without any additional information, it is impossible to answer this question.

Answer:

Step-by-step explanation:

This is a quadratic function, which is a function of the form f(x) = ax^2 + bx + c, where a, b and c are constants. The function can be written in general form as f(x) = (x-4) / (x^2 +13x + 36).

To find the roots of the function (i.e. the points at which the function intersects the x-axis), we can use the quadratic formula:

x = [-b +/- sqrt(b^2 - 4ac)] / 2a

In this case, a = 1, b = 13 and c = 36.

Substituting these values into the quadratic formula, we get:

x = [-13 +/- sqrt(169 - 4(1)(36))] / 2

x = [-13 +/- sqrt(97)] / 2

x = [-13 +/- 9.8488578] / 2

x1 = -1.1744289

x2 = 11.1744289

Therefore, the roots of the function are x1 = -1.1744289 and x2 = 11.1744289.

Answer:

Step-by-step explanation:

Answer: a. 7

Work Shown:

Given set = {6, 10, 7, 2, 9, 8, 7, 3, 5}

Sorted set = {2, 3, 5, 6, 7, 7, 8, 9, 10}

P = 15 = percentile value

n = 9 = sample size, i.e. number of values in the set

R = index rank

R = (P/100)*(n + 1)

R = (15/100)*(9+1)

R = 1.5

This rounds to R = 2 when rounding to the nearest integer.

This R value tells us to look at the 2nd slot of the sorted data set. The value "3" is in the 2nd slot.

This is why the answer is choice D

When the thickness of a textbook is b mm the expressions for:

thickness of 5 stacked textbooks = 5b mm

thickness of each page, if the pages are numbered to 225 = b / 225

The thickness for each of the condition is written as follows

For the thickness of 5 stacked textbooks

= b + b + b + b + b

= 5b

For thickness of each page, if the pages are numbered to 225

In this case division is used to ascertain the thickness of each page in the book. this is done by dividing the total thickness by the number of pages in the book

= b / 225

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The number of tiles in figure 70 and figure 93 are 142 and 188.

Figure 2 = 6

Figure 3 = 8

The common difference = 8 - 6

= 2

figure 2 = a + (n - 1)d

Where,

a = first term

figure 2 = a + (n - 1)d

6 = a + (2 - 1)2

6 = a + (1)2

6 = a + 2

6 - 2 = a

a = 4

Figure 70 = a + (n -1)d

= 4 + (70-1)2

= 4 + (69)2

= 4 + 138

Figure 70 = 142

Figure 93 = a + (n -1)d

= 4 + (93 - 1)2

= 4 + (92)2

= 4 + 184

Figure 93 = 188

Therefore, figure 70 and 93 have 142 and 188 tiles respectively.

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After adding the expressions (8.5+ 6.25m) and (12 +3.75m) the value is obtained as (20.5 + 10m).

What is an expression?

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

The first expression is - (8.5+ 6.25m)

The second expression is - (12 +3.75m)

Apply the addition operation on the expressions -

= (8.5+ 6.25m) + (12 +3.75m)

= 8.5 + 6.25m + 12 + 3.75m

= 8.5 + 12 + 6.25m + 3.75m

= (20.5 + 10m)

Therefore, the value is obtained as (20.5 + 10m).

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The required loan out of 14000 which is on 7% interest is given as $3800.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

Let part of the loaned amount at 7 % interest be x and another part with 17% interest be y,
A bank loaned out ​$14000​, part of it at the rate of 7% per year and the rest at 17% per year, and the interest received in one year totaled ​$​2000,

According to the question,
x + y = 14000
x = 14000 - y - - - - - (1)

and,
0.07x + 0.17y = 2000 - - - - (2)

Put x from equation 1 in equation 2
Gives,
y = 10200

Now,
x = 14000 - 10200
x = 3800

Thus, the required loan out of 14000 which is on 7% interest is given as $3800.

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Answer:

-5 and -3

Step-by-step explanation:

-2x + 1 > 6

[tex]-2(-\frac{5}{2}) + 1 > 6\\6 > 6[/tex]

Not an answer

-2(-5) + 1 > 6

11 > 6

An answer

-2(-2) + 1 > 6

5 > 6

Not an answer

[tex]-2(-\frac{3}{2}) + 1 > 6\\4 > 6[/tex]

Not an answer

-2(0) + 1 > 6

1 > 6

Not an answer

-2(-3) + 1 > 6

7 > 6

An answer

Answer: The probability of not taking a yellow ball can be found by using the formula:

Probability of event A = (Number of favorable outcomes) / (Total number of outcomes)

In this case, the event of not taking a yellow ball is the favorable outcome, and the total number of outcomes is the total number of balls in the bag, which is 10 yellow, 5 orange, and 5 green balls. So, the total number of outcomes is 20.

The number of balls that are not yellow is 5 orange + 5 green = 10.

So, the probability of not taking a yellow ball is

Probability of not taking a yellow ball = (Number of non-yellow balls) / (Total number of balls) = 10/20 = 1/2

So the answer is 1/2.

Step-by-step explanation:

Answer:

---------------------------

The speed limit is 65 mph, the speed of the car is at least 74 mph.

The difference m is the over the speed limit value.

Set an inequality:

Answer: There is no solution for these equations.

Explanation: This equation system is not solvable. Because we cannot eliminate x or y while holding one of them in the equation.

Answer:

Step-by-step explan

THATS A U PROBLEM!

The two ratios are equivalent because if we multiply both of the numbers by 3, we will get the other ratio.

Here we want to explain why the two ratios:

5:6 and 15:18

Are equivalent, where equivalent means that these two ratios mean the same thing.

Now, if we take any ratio

a:b

and we multiply both numbers by the same real number k (except for zero) we will get the equivalent ratio.

k*a: k*b

Now, let's look to our ratios:

5:6

If we multiply these 2 numbers by 3, we will get.

3*5: 3:6

15: 18

So yes, these are equivalent.

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The slope-intercept form of the equation of the given line which passes through the point (2, 7) and has a slope of 8 is:

     y = 8x - 9

What is meant by slope-intercept form of the line equation?

The slope (m) and the y-intercept (b) of a line are highlighted in the slope-intercept form of linear equations (y=mx+b). One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis) are known, the slope-intercept formula can be used to determine the equation of a line. The equation of a line is the equation that each point on the line fulfils.

Given the line passes through a point  (2,7) and the slope is 8.

When a point on the line and slope are given, the equation of the line is:

y - y₁ = m ( x - x₁)

m = slope  = 8

Substituting,

y - 7 = 8 ( x - 2)

y - 7 = 8x -16

y = 8x - 9

Therefore the slope-intercept form of the equation of the given line is:

     y =  8x - 9

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The compound inequality for the graph given is  -2 < x < 5.

When a compound inequality is graphed such that there is an open circle instead of a filled - in circle over a number, then it means that x is either greater than this value, or less than this value. In other words, x is not equal to this value.

The circles over - 2 and 5 are not filled in which means that x is greater or less than - 2 and 5.

x is less than 5 because the arrow goes from 5 to infinity and x is greater than - 2 for the same reason.

The compound inequality is therefore:

-2 < x < 5

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The angles are 36,118,62

If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°. When two lines intersect each other, then the opposite angles, formed due to intersection, are called vertical angles or vertically opposite angles.

Given: m and n are parallel lines with 3 transversals

We can observe that a=36 (vertically opposite angles)

and b =180-(36+26)     ∵  They all lie on a line .

          =118

and c= 180-118               ∵They all lie on a line.

         =62

Hence, The angles are 36,118,62

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The people that have posted the meme after 8 days using the exponential equation y=t^3 will be 512.

What are Exponential Equations?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3^x = 81, 5^x - 3 = 625, 62^y - 7 = 121, etc are some examples of exponential equations. We may come across the use of exponential equations when we are solving the problems of algebra, compound interest, exponential growth, exponential decay, etc.

Now,

To find number of people who have re-posted

we need to make a exponential equation

Here, As cindy tags meme to 3 people in starting and they also tag 3 people in subsequent days, then equation will be y=t^3 where t=no of days.

No of people after 8 days,

y=8^3

y=512 (no of people after 8 days)

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This is an example of geometric growth, So after 8 days 6561 people will have re-posted the meme.

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Part (a)

Line p can be named as "line RV" or "line AV" since these points are on line p. The order of the lettering doesn't matter.

==============================================

Part (b)

Pick any three non-collinear points in plane W. In other words, we pick three points in the plane that do not fall on the same line.  

The following points are located in this plane: S, R, Q, T, Z

Here are some possible names:

Something like "Plane SRQ" isn't valid since those three points are on the same line. Infinitely many planes pass through these three points.

The ordering of the letters doesn't matter. For instance, "plane STR" is the same as "plane RTS".

==============================================

Part (c)

As mentioned in part (b) earlier, these points fall on the same straight line. Hence they are considered collinear.

==============================================

Part (d)

Pick any four points that reside in plane W.

You have this list to choose from: S, R, Q, T, Z

Let's say we pick the first four to write S, R, Q, T as the answer

These points are coplanar because they reside in the same plane. The non-coplanar points are A and V since they are outside the plane W.

==============================================

Part (e)

Technically there aren't any line segments shown. Instead the diagram shows lines. But we can focus on a subset of a particular line to form a segment.

For instance, line p has points A and V on it. Therefore we can form segment AV

The symbolic notation for this would be to write [tex]\overline{\text{AV}}[/tex]

==============================================

Part (f)

Reason:

A line is composed of opposite rays. For instance, a vertical line consists of a ray pointing north and a ray pointing south. The two rays are glued together at the endpoints.

For line p, we can glue together ray RA and ray RV to form this line. Unlike the other naming conventions, the order does matter. Something like "ray RV" is not the same as "ray VR". The first letter tells us the endpoint that doesn't go on forever.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:  112112v

112112112112112112v112112. 112112112112112112112112112112Answer:

Step-by-step explanation:  112112v

112112112112112112v112112. 112112112112112112112112112112Answer:

Step-by-step explanation:  112112v

112112112112112112v112112. 112112112112112112112112112112

The equation is solved and the values of a and b is simplified as

a) The possible values of ab = 4

b) The possible values of a + b = 4

c) The possible values of a and b = 2

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

(a)

To find all possible values of ab, we can use the identity:

a⁴ + b⁴ = (a² + b²)² - 2a²b²

Substituting the given values, we have:

16 = (a² + b²)² - 2a²b²

We also know that a + b=4, which means that b = 4 - a.

Substituting this into the equation above, we have:

16 = (a² + (4-a)²)² - 2a²(4-a)²

Simplifying, we get:

16 = (2a² - 8a + 16)² - 32a² + 64a³ - 32a⁴

Expanding, we get:

16 = 4a⁴ - 64a³ + 288a² - 512a + 272

Rearranging and factoring, we get:

4a⁴ - 64a³ + 288a² - 512a + 256 = 0

Dividing by 4, we get:

a⁴ - 16a³ + 72a² - 128a + 64 = 0

This is a quartic equation, which can be factored as:

(a-2)⁴ = 0

Therefore, the only possible value of a is 2, which means that the only possible value of b is 2 as well.

So, ab = 2 x 2 = 4

(b)

We know that a + b = 4, and since a = 2, we have b = 4 - a = 2

Therefore, the only possible value of a + b is 4

(c)

From part (b), we know that the only possible value of a + b is 4. From part (a), we know that the only possible values of a and b are both equal to 2.

Therefore, the only possible solution is a = 2 and b = 2

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Answer:

P = 5c + 11 , c = 3

Step-by-step explanation:

(a)

the perimeter P) is the sum of the sides.

Note that the 2 sides with a ' dash' through them are congruent

summing the 4 sides

P = c + 5 + 3c - 2 + 10 - 2c + 3c - 2 ( collect like terms )

  = 5c + 11

(b)

equate the expression for P from (a) to 26

5c + 11 = 26 ( subtract 11 from both sides )

5c = 15 ( divide both sides by 5 )

c = 3

Answer: top right

Step-by-step explanation:

It says decrease by 7 which mean subtract (-) and times 3 mean multiply by 3 (x3)

The requried solution of the differential equation is given as y = x⁴/4 + c₁x²/2 + c₁².

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

here,

Given the differential equation,

y' = 2 √y . x

y' = dy/dx so,

dy/dx = 2√y.x
dy/√y = 2x dx
[tex]y^{-1/2}dy = 2xdx\\\sqrt{y} /[1/2] = x^2 + c_1[/tex]
y = [1/2(x² + c₁)]²
y = x⁴/4 + c₁x²/2 + c₁²  

Thus, the requried solution of the differential equation is given as y = x⁴/4 + c₁x²/2 + c₁² .

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Answer:

$101.75

Step-by-step explanation:

You work 4 hours in the morning from 8-12 and 5 hours and 15 minutes in the afternoon from 12:45 to 5:30 (a.k.a. 17:30)

15 minutes is a quarter of an hour.  1/4 = 0.25

4 + 5.25 = 9.25

You worked for 9.25 hours

Multiply that by $11 per hour.

9.25 · 11 = 101.75

You make $101.75 on Monday.

Answer: (15 + 72) + 19

Explanation: "Associative Law = (a + b) + c = a + (b + c)"

The FOIL method to find the product (x + 5)(x² - 3x) is x³ + 2x² - 15

You should note the following about FOIL method

It stands for "First, Outer, Inner, Last"

It is the sum of:

· multiplying the First terms,

· multiplying the Outer terms,

· multiplying the Inner terms, and

· multiplying the Last terms

That is  (a+b)(c+d) = ac + ad + bc + bd

Use FOIL (First, Outside, Inside, Last)

The give expression is

x(x²) = x³

x(-3x) = -3x²

5(x²) = 5x²

5(-3x) = -15x

Combine like terms:

x³ - 3x² + 5x² - 15x

x³ + 2x² - 15

Therefore the FOIL method is x³ + 2x² - 15

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Answer: The distance formula is a mathematical formula used to find the distance between two points in a plane. One way to find the distance formula is by using the Pythagorean theorem.

The Pythagorean theorem 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.

The distance formula can be derived from the Pythagorean theorem by considering the two points as the two endpoints of a line segment. The formula is as follows:

Distance = √(x2 - x1)^2 + (y2 - y1)^2

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this formula, the difference in the x-coordinates is squared and the difference in the y-coordinates is also squared. Then, these two values are added and the square root of the result gives the distance between the two points.

For example, if we have two points (x1, y1) = (2, 3) and (x2, y2) = (5, 8), we can use the distance formula to find the distance between these two points:

Distance = √((5 - 2)^2 + (8 - 3)^2)

Distance = √(3^2 + 5^2)

Distance = √(9 + 25)

Distance = √(34)

Distance = 5.83

Therefore, the distance between the two points is 5.83 units.

Step-by-step explanation: