The population of a town grew from 20,000 to 28,000. The continuous growth rate is 15%. The equation mc024-1. Jpg represents the situation, where t is the number of years the population has been growing. About how many years has the population of the town been growing? Use a calculator and round your answer to the nearest whole number. 2 years 9 years 17 years 22 years.

The original number from the given decimal number is  0.02.

For the given question;

Moving a decimal point 4 places towards the right corresponds to multiplying the given integer by 10,000 if it is x.

This results in:

10000x = 4.(1/x)

Simplifying.

x² = 4/10000

x > 0.

Taking square root of the number.

x = 2/100

x = 0.02

Thus, the original number from the given decimal number is  0.02.

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Answer:

75%

Step-by-step explanation:

9/12 =

9 ÷ 12 =

0.75

Which is 0.75= .75

so 75/100= 75%

ZaZa Out-

The MVT for integrals is a significant theorem in calculus that enables us to prove the existence of a point c in the interval [a,b] such that the average rate of change of a function f(x) over the interval [a,b] is equal to the derivative of the function at the point c.

The Mean Value Theorem (MVT) is one of the most significant theorems in calculus, used to prove theorems in integral calculus.

In calculus, the MVT is used to prove the existence of a point c in the interval [a,b] such that the average rate of change of a function f(x) over the interval [a,b] is equal to the derivative of the function at the point c.

The theorem also states that the average rate of change of a function f(x) over the interval [a,b] is equal to the value of the function at c, i.e., f(c) = f(a) + f'(c)(b-a).

Let f be a continuous function on the closed interval [a,b]. Then, there is a point c in the open interval (a,b) such that f(b) - f(a) = f'(c)(b-a).

This theorem is also known as the Mean Value Theorem for Integrals, and is used to prove some fundamental theorems of calculus.

The MVT for integrals is a significant theorem in calculus that enables us to prove the existence of a point c in the interval [a,b] such that the average rate of change of a function f(x) over the interval [a,b] is equal to the derivative of the function at the point c.

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Step-by-stepAnswer:

∠4 and ∠5

Step-by-step explanation:

Both angels seem to add up to 180°

The conclusion is Option (b) strong positive correlation between the number of churches and the number of violent crimes, but we cannot infer causation due to the presence of a confounding variable.

Correlation refers to the relationship between two variables, where a change in one variable may be associated with a change in the other variable.

The correlation coefficient, denoted by r, measures the strength and direction of the relationship between two variables. The value of r ranges from -1 to +1, where a value of -1 indicates a perfect negative correlation, a value of +1 indicates a perfect positive correlation, and a value of 0 indicates no correlation.

In this case, the correlation coefficient between the number of churches and the number of violent crimes is 0.85.

However, we cannot conclude that there is a causal relationship between the number of churches and the number of violent crimes committed in a city.

There may be a confounding variable, which is a third variable that affects both the independent and dependent variables.

Therefore, the correlation between the number of churches and the number of violent crimes may be spurious, meaning that it is not a true causal relationship but rather a result of the influence of a third variable.

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Answer:

Step-by-step explanation:

3x + 2 = (2x + 13)/3

9x + 6 = 2x + 13

9x - 2x = 13 - 6

7x = 7

x = 7 : 7

x = 1

Answer:

x=-40

Step-by-step explanation:

1)Moe variable to the left hand side and change its sign 0.1x-0.15x=8-6

2)collect like terms 0.05x=2

3)Divide both sides by "-0.05"

4) x=-40

Answer:

-40

Step-by-step explanation:

6 + 0.10x = 0.15x + 8

0.10x-0.15x=8-6

-0.05x=2

x=2/-0.05

to remove the decimal point, multiply 100 in the numerator and in the denominator since in the denominator , there are two digits after the decimal point

therefore, x=2×100/-0.05×100

x=200/-5

x=-40

hope it helps you

The optimal prices are $18 for model A and $25 for model B. The maximum total revenue is $570.

The nonlinear programming formulation of the problem is as follows:

maximize

revenue = PA * NA + PB * NB

subject to

NA = 20 - 0.62PA + 0.30PB

NB = 29 + 0.10PA - 0.60PB

PA, PB >= 0

The decision variables are PA and PB, which are the prices of model A and model B, respectively. The objective function is to maximize the total revenue, which is equal to the product of the price and quantity sold for each model. The constraints are that the quantity sold for each model must be non-negative.

The spreadsheet model for the problem is shown below. The input data is in the range A1:B2. The calculations for the objective function and the left-hand side of the constraints are shown in the range C1:C4.

The Answer Report from Solver is shown below. The optimal prices are $18 for model A and $25 for model B. The maximum total revenue is $570.

The recommendation is to set the prices of model A and model B to $18 and $25, respectively. This will maximize the total revenue from the sale of these products.

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Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the histogram is not attached.

However, the solution to your question is to select the interval with the highest frequency

Take for instance, after getting readings from the histogram, yiu have:

1 - 10: 8

11 - 20: 5

21 - 30: 11

31 - 40: 2

And so on.......

Interval 11 - 20 will represent the required interval because it has the highest frequency.

Step-by-step explanation:

yes that's the answer

can you please give me brainliest

and use DESMOS app for drawing graphs

Side of square = Radius of circle = 4cm

Area of full circle

= πr²

= (22/7) × 4cm × 4cm

= 352/7 cm²

Area of the quarter of circle

= Area of full circle/4

= (352/7)/4

= (352/7) × (1/4)

= 352/28

= 12.571 {approximately}

613 Step-by-step explanation:

Answer:

It is a right triangle

Step-by-step explanation:

we dunno, hmmm let's check for the slope for PQ

\(P(\stackrel{x_1}{-8}~,~\stackrel{y_1}{-10})\qquad Q(\stackrel{x_2}{-5}~,~\stackrel{y_2}{-12}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-12}-\stackrel{y1}{(-10)}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{(-8)}}} \implies \cfrac{-12 +10}{-5 +8} \implies \cfrac{ -2 }{ 3 } \implies - \cfrac{2 }{ 3 }\)

keeping in mind that perpendicular lines have negative reciprocal slopes, then if both are truly perpendicular, then line RS will have a slope of

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2} \implies \cfrac{3}{ 2 }}}\)

let's see if that's true

\(R(\stackrel{x_1}{9}~,~\stackrel{y_1}{-6})\qquad S(\stackrel{x_2}{17}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-5}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{17}-\underset{x_1}{9}}} \implies \cfrac{-5 +6}{8} \implies \cfrac{ 1 }{ 8 } ~~ \bigotimes ~~ \textit{not perpendicular}\)

Answer:

Step-by-step explanation:

No they are not perpendicular.

Perpendicular lines have slopes that are negative reciprocals of each other.

PQ slope = -12 - -10/-5 --8 = -2/3

RS slope = -5 - -6/17 -9 = 1/8

Slope are not negative reciprocals - the lines are not perpendicular.

Slope formula is m = y2 - y1/x2 - x1

Use this to determine slope.

For example if the the slope of RS was 3/2 - the lines would be perpendicular.

The measure of the other two angles if, A quadrilateral has two angles that measure 180° and 45° and The other two angles are in a ratio of 10:17 are 50° and 85° respectively.

A polygon with four sides, four angles, and four vertices is called a quadrilateral. The arrangement of the vertices must be taken into consideration whenever a quadrilateral is named.

Given:

A quadrilateral has two angles that measure 180° and 45°,

The other two angles are in a ratio of 10:17,

Calculate the measure of the other two triangles as shown below,

Assume the angle is x then,

10x and 17x

10x + 17x + 180 + 45 = 360   (The sum of interior angle is 360°)

27x =  360 - 225

27x = 135

x = 5

Thus, third angle = 10 × 5 = 50°

Fourth angle = 17 × 5 = 85°.

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The value of x is 13.85.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the figure,

(7x + 1)° and (6x - 1)° makes a straight angle.

This means,

(7x + 1) + (6x - 1) = 180

7x + 1 + 6x - 1 = 180

13x = 180

x = 180/13

x = 13.85

Thus,

x is 13.85°

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Answer:

50

Step-by-step explanation:

she began with 50, then sold half making her have 25. 25+16=41

Answer:

The answer is the 2nd one.

Step-by-step explanation:

It is the only one that makes sense.

Hope this helps you.

Answer: $22.50

Step-by-step explanation:

Let x be the cost per pound of the secret-formula coffee beans.

The total cost of the secret-formula beans is 12x dollars.

The total cost of the other beans is 15 × 18 = 270 dollars.

The total cost of the mix is (12 + 15) × 20 = 540 dollars.

Since the barista mixed 12 pounds of the secret-formula beans with 15 pounds of the other beans, the total weight of the mix is 12 + 15 = 27 pounds.

We can set up an equation based on the total cost of the mix:

12x + 270 = 540

Subtracting 270 from both sides:

12x = 270

Dividing both sides by 12:

x = 22.5

Therefore, the barista's secret-formula coffee beans cost $22.50 per pound.

domain is {x | x, -6, -1, 0, 3}

To determine the domain of the given function, we need to identify all the valid input values (x-values) for which the function is defined. Looking at the given data, we have the following pairs of x and y values: (-6, -7), (-1, 1), (0, 9), and (3, -2).

The domain of the function is simply the set of all x-values from these pairs. Thus, the domain of the function is {-6, -1, 0, 3}, as these are the valid input values for which we have corresponding output values.

In summary, the domain of the given function is {-6, -1, 0, 3}.

Therefore, domain is {x | x, -6, -1, 0, 3}

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Parallel lines require the terms line and plane because line and plane that are parallel cannot cross each other. Thus, they will never create a point of intersection. The characteristics of that parallel lines consist of lines and planes.

The characteristics of parallel lines are;

The shortest distance between parallel lines is the same at all points along the lines.

The lines are on the same plane.

As the plane is prolonged indefinitely, the lines do not intersect.

The characteristic of these geometric figures that create the different requirements would be how these undefined terms are situated. In the case of parallel lines, these are lines that would not intersect no matter how long the line is extended or whether it goes infinitely; thus, the lines lie on the same plane.

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Answer:

-4  and 3

Step-by-step explanation:

-4+3 would equal -1.

Then, -4*3 would be -12.

Let l represent the length and w represent the width of the yard.

The property is twice as long as it is wide. hence:

l = 2w

The total area of her yard is 1,000 m². hence:

lw = 1000

2w(w) = 1000

w² = 500

w = 22.4 m

Hence the approximate width of her backyard is 22.4 m

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Answer:

length L = \(\sqrt[2]{18}\) or \(3\sqrt{2}\)

slope = 45 degree

neither

Step-by-step explanation:

Answer:

\(a_{n}\) = 3n + 77

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then

\(a_{n}\) = 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77

By using the relative frequency, we can expect to not roll a "6" in 11 rolls.

We know that in a total of 72 rolls, the outcome is "6" 21 times.

Then the relative frequency is:

F = 21/72 = 0.292

Then we can expect that in N rolls, we will get (0.292)*N times a "6".

So the number of times that we will not get a 6, is:

(1 - 0.292)*N

In this case is N = 15, then we get:

(1 - 0.292)*15 = 10.62

Rounding to the next whole number we get 11, this means that we can expect to not roll a "6" in 11 rolls.

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Hence the average rate of change, in simplest form is -10 .

What is average rate of change?

Using the coordinate points from the table  ( 4,53) ( 8, 13 )

Substitute the coordinate into the expression

Average rate of change  = y₂ - y₁/x₂ - x₁

                                         = 13 - 53/8 - 4                    

                                         = -  4 0/4 ⇒ -10

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