Evan added -2 1/2+4 and got six 1/2 draw arrows on the number line to represent the problem and explains Evans error

The correct match for each linear system with one of the phase plane direction fields will be:

1:B

2:C

3:D

4:A

What is plane?

In geometry, a plane is a surface made up of all the straight lines connecting any two locations on it. It is, in other words, a level or flat surface. A plane is uniquely defined in a Euclidean space of any number of dimensions by one of the following: three non-collinear points are used. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature. The flat surfaces of a cube or cuboid, as well as the flat surface of paper, are all true instances of geometric planes, despite the fact that it is difficult to envision a plane in real life.

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Answer:

(3x + y)(2x + 3)

Step-by-step explanation:

6x² = 2 * 3 * x * x

2xy = 2*x * y

Common factor = 2x.

        9x = 3 * 3 * x

        3y = 3 * y

Common factor = 3

Take out the common factor 2x from the first and second term & take out the common factor 3 from third and fourth term.

6x² + 2xy + 9x + 3y = 2x(3x + y) + 3(3x + y)

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

Answer:

3.4 is bigger

Step-by-step explanation:

3.04 is smaller than 3.4

Answer:

1/15 or 0.0667

Step-by-step explanation:

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bardai

chatgpt

red marble on the first draw is 2/6, or 1/3

red marble on the second draw, given that the first marble was red, is 1/5

(1/3) * (1/5) = 1/15

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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72 jars of applesauce in 8 hours

with this information, we can calculate some points

for example

to calculated the number of jars in four hours we can divide by two the jars of the information given and we obtain

36 jars of applesauce in 4hours

the point is (4,36)

In 2 hours we can divide by 2 the jars of the previous point

18 jars of applesauce in 2hours

the point (2,18)

Answer:

A

Step-by-step explanation:

Answer:

distribution

Step-by-step explanation:

(4xb)+(4x2)

4b+8

Answer

The property that was used to simplify this equation was the distributive property.

Step-by-step explanation:

All you do is distribute the 4 both to the b and to the 2, which would result in the other side of the equation, 4b+8.

Answer:

The Scientific Method

Step-by-step explanation:

The Scientific method has many steps to help you evaluate a change

Today, scientists adopt a specific approach called the scientific method to generate information about the natural world. This approach is founded on observation and tested hypotheses (through experimentation). Scientists may develop a theory or a law that both describe aspects of the natural world.

Since at least the 17th century, the scientific method—an empirical approach to learning—has guided the advancement of science. Since one's interpretation of the observation may be distorted by cognitive presumptions, it requires careful observation and the application of severe skepticism regarding what is observed.

The bean plant can grow anyplace, according to the hypothesis, provided that scientific methods are applied. putting the idea into practice and gathering information.

A collection of academic fields known as the "natural sciences" examines the physical universe and all natural events. Physical sciences like chemistry, geology, physics, mathematics, or astronomy and biological sciences like biology, botany, zoology, genetics, or microbiology are the two primary disciplines of the natural sciences.

Thus, scientists adopt a specific approach called the scientific method to generate information about the natural world.

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The equations Ax = b are not compatible.

It is represented by an equal sign (=) and is used to solve for unknown values or to describe relationships between variables. Equations can be simple or complex, involving basic arithmetic operations or advanced mathematical concepts like trigonometry and calculus.

An equation can be used to solve for a single unknown value, for example, the equation 2x + 3 = 7 can be solved for x by subtracting 3 from both sides, giving us 2x = 4 and then dividing both sides by 2, giving us x = 2. In this example, x = 2 is the solution to the equation.

To determine whether the equations Ax = b are compatible and to compute a solution x, you would first form the augmented matrix [A|b]. Then, you would perform row operations on [A|b] to reduce it to an upper triangular matrix [C|d]. Finally, you would use the software package to solve the square system of equations Cx = d.

If the software terminates with an error message, it means that C is singular, and the equations Ax = b are not compatible. If the software finds the unique solution of Cx = d, it means that the equations Ax = b are compatible and that the solution x is unique. However, it is important to note that the uniqueness of the solution depends on the rank of A being equal to n. If the rank of A is less than n, the equations are not compatible, and if the rank of A is greater than n, the equations have infinitely many solutions.

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Based on the given data, the probability that exactly 2 insects will survive is 0.1402 rounded to four decimal places.

The probability mass function for the binomial distribution is given by:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (surviving insects), k is the specific number of successes we're interested in (k=2 in this case), n is the total number of trials (n=11), p is the probability of success (p=0.3), and (n choose k) is the binomial coefficient, which is the number of ways to choose k objects from a set of n objects.

Plugging in the values, we get:

P(X=2) = (11 choose 2) * 0.3² * 0.7²

= (55) * 0.09 * 0.02825

= 0.1402

Therefore, the probability that exactly 2 insects will survive is 0.1402 (rounded to four decimal places).

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Answer: (0,0)

Step-by-step explanation:

got it correct

The value of y-intercept of the given function is (0,0).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, We know that;

When a function intersects the y-axis then the point of intersection is called y-intercept of the function,

Also, for y-intercept x = 0.

That is, if f(x) is the function then its y-intercept is (0, f(0) )

By the given table for x = 0, f(x) = 0

Hence, tWhen a function intersects the y-axis then the point of intersection is called y-intercept of the function,

Also, for y-intercept x = 0.

That is, if f(x) is the function then its y-intercept is (0, f(0) )

By the given table for x = 0, f(x) = 0

Hence, the y-intercept of the given function is (0,0),

Thus, The value of y-intercept of the given function is (0,0).

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Answer:

6.5

Step-by-step explanation:

Divide 13 by 2 to get 6.5

Answer: 13/2 = 6 with a reminder of 1

Step-by-step explanation:  Attached image should show you my work.

Answer:

11 y 23

Step-by-step explanation:

Nombrando los números como \(x\) y \(y\),

Planteamos las siguientes ecuaciones:

\(xy=253\) (el producto de los numeros es 253)

\(x=2y+1\) (uno de los enteros debe ser uno más que el doble del otro).

Sustituimos la segunda ecuación en la primera:

\((2y+1)(y)=253\)

resolvemos para encontrar y:

\(2y^2+y=253\\2y^2+y-253=0\)

usando la formula general para resolver la ecuación cuadrática:

\(y=\frac{-b+-\sqrt{b^2-4ac} }{2a}\)

donde

\(a=2,b=1,c=-253\)

Sustituyendo los valores:

\(y=\frac{-1+-\sqrt{1-4(2)(-253)} }{2(2)} \\\\y=\frac{-1+-\sqrt{2025} }{4}\\ \\y=\frac{-1+-45}{4} \\\)

usando el signo mas obtenemos que y es:

\(y=\frac{-1+45}{4} \\y=\frac{44}{4}\\ y=11\)

(no usamos el signo menos, debido a que obtendriamos fracciones y buscamos numeros enteros)

con este valor de y, podemos encontrar x usando:

\(x=2y+1\)

sustituimos \(y=11\)

\(x=2(11)+1\\x=22+1\\x=23\)

y comprobamos que el producto sea 253:

\(xy=253\)

\((23)(11)=253\)

Answer:

-7/4

Step-by-step explanation:

we can see that every time the value of x increases by 4, the value of y decreases by 7.

let's pick two sets of coordinates (first two will be fine).

that is (-4, 6) and (0, -1)

Slope = (change in y values) / (change in x values)

= (-1 - 6) / (0 - -4)

= -7 / (0 + 4)

= -7/4.

so our slope (gradient) is -7/4

The value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.

The given integral is;

y = ∫18x sin (9x² + 8) dx

Put u = 9x² + 8

Then, on differentiation

18x dx = du

substitute the values:

y = ∫ sin (u) du.

y = -cos u

Put u = 9x² + 8

y = -cos (9x² + 8) + c

c is the constant of integration.

Thus, the value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.

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The surface area of a rectangular prism is 48 5/6 mi².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

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200.60 interest does andy’s account earn.

Let x be the amount of interest earned by Andy's account.

According to the problem, Andy's account earns 0.3% more interest than Marty's account, which means that Andy's account earns the same amount plus an additional 0.3% of that amount. Mathematically, we can express this as:

x = 200 + 0.3% of 200

Simplifying the right-hand side of the equation, we get:

x = 200 + 0.003 × 200

x = 200.60

Therefore, the answer is option 1: 200.60.

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Answer:

If you're asking for an equation to use for this problem you can use: 100+5x,

x is the number of weeks.

Step-by-step explanation:

You are starting with $100, and gain 5 dollars every week, so 100+5(#ofweeks)= total amount of money.

The area under the curve standard normal curve that lies to the left of the points are as follows

​(a) 0.56 ​= 0.29

(b) ​-0.23 = 0.41

​(c) 0.59​ = 0.28

(d) -0.73 = 0.23

The standard normal distribution, commonly known as the z-distribution, is a unique type of normal distribution in which the mean is 0 and standard deviation is equal to 1.

Any normal distribution's values can be transformed into z scores to standardize it.

Z scores indicate the number of standard deviations each result is from the mean.

The area under the standard normal curve is gotten using the z table for the scores and the values are as follows

a) 0.56 ​= 0.2877

(b) ​-0.23 = 0.4090

​(c) 0.59​ = 0.2776

(d) -0.73 = 0.2327

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Answer:

The set M of all square numbers less than 80 is:

M = {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set N of all non-negative even numbers that are under 30 is:

N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

Answer:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Step-by-step explanation:

A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.

The square numbers less than 80 are:

An even number is an integer that is divisible by 2 without leaving a remainder.

The non-negative even numbers that are under 30 are:

Therefore:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Answer:

1/8

Step-by-step explanation:

The fractional probability that the die lands on 4, 5 or 6 and the coin is tails is 1 / 4.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that a six-sided die is tossed and a coin is flipped. The die lands on 4, 5 or 6 and the coin are tails.

The probability of getting 4, 5, and 6 is,

P = 3 / 6

P = 1 / 2

The probability of getting tail,

P = 1 / 2

The probability that the die lands on 4, 5 or 6 and the coin is tails is,

Probability = ( 1 / 2 ) x 9 1 / 2 )

Probability = 1 / 4

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The best interpretation of the slope of the linear regression equation is given as follows:

For each increase of one degree of latitude, the average low temperature decreases by 0.70 degrees Fahrenheit.

The slope represents the rate of change of the output variable relative to the input variable of a linear relation.

Hence, it can be said that the slope states by how much the output variable y changes when the input variable x is increased by 1.

The variables in this problem are given as follows:

The negative slope of -0.7 means that for each increase of one degree of latitude, the average low temperature decreases by 0.70 degrees Fahrenheit.

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Answer:

B

Step-by-step explanation:

The weight of the rice bags should be less than the weight of 48.35 ounces. Inequality can be written as x < 48.35 ounces.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

That One machine fills each bag with approximately 48 ounces of rice. After the bags are filled; another machine weighs each bag. A bag is discarded if the weight differs by more than 0.35.

The inequality for the bags can be written as

x < 48.35 Ounces

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Answer:

In addition to providing an explanation of consumer disposition of income, utility theory is useful in establishing individual consumer demand curves for goods and services. A consumer's demand curve for a good or service shows the different quantities that consumers purchase at various alternative prices.

Step-by-step explanation:

Answer: x>15

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality:

          (56/10)+(22/10)*x-((656/10)-(18/10)*x)>0  

Simplify   9/5

  56  22      656  9

 (——+(——•x))-(———-(—•x))  > 0  

  10  10      10   5

Simplify 328/5

  56  22      328 9x

 (——+(——•x))-(———-——)  > 0  

  10  10       5  5  

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

328 - (9x)     328 - 9x

——————————  =  ————————

    5             5    

  56/10+22/10.x/5)) >0      (328 - 9x)

Simplify  11/5

  56/10+11/5.x/5))->0 (328-9x  

Simplify 28/5

  28    11x     (328 - 9x)

 (—— +  ———) -  ——————————  > 0  

  5      5          5      

Adding fractions which have a common denominator

     Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

28 + 11x     11x + 28

————————  =  ————————

   5            5    

:

 (11x + 28)    (328 - 9x)

 —————————— -  ——————————  > 0  

     5             5      

Adding fractions which have a common denominator

       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(11x+28) - ((328-9x))     20x - 300

—————————————————————  =  —————————

          5                   5    

   Pull out like factors :

  20x - 300  =   20 • (x - 15)  

 20 • (x - 15)

 —————————————  > 0  

     Multiply both sides by  5  

   Divide both sides by  20  

Solve Basic Inequality :

  Add  15  to both sides

            x > 15

Answer:

.

Step-by-step explanation:

.

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:

f(n) = n*(n+1)/2

Where n is the position of the number in the sequence.

So, for example:

f(1) = 1*(1+1)/2 = 1

f(2) = 2*(2+1)/2 = 3

f(3) = 3*(3+1)/2 = 6

and so on.