identify the inequality that represents the given graph

The width of the two paths is 5 m.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0). For writing a quadratic equation in standard form, the x2 term is written first, followed by the x term, and finally, the constant term is written. The numeric values of a, b, c are generally not written as fractions or decimals but are written as integral values.

Let the width of the two paths be x.

Thus, the total area covered by the paths is = (30×x) + (40×x) - x²

The total area covered by the paths is 325 m².

Equate both of them.

⇒ (30×x) + (40×x) - x² = 325

⇒ 30x + 40x  - x² = 325

⇒ x² -70x + 325 = 0

Solving the above equation, we get

x = 65 or x = 5

The valid solution is x = 5.

Thus, the width of the two paths is 5 m.

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Answer: I think it is the first one

Step-by-step explanation:

Answer:

I'm pretty sure it's x^2 - 4x

Step-by-step explanation:

Domain: [-2, 2]

Range: [-4, 3]

We would need more information to answer this question. For example, Sally’s speed.

Step-by-step explanation:

If a=-2 and b=1 the value of a+2b=0

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

According to the given question;

If a=-2 and b=1 the value of a+2b=0

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The smallest number of coins Freddie would need is 4 (one penny, one nickel, one dime, and one quarter).

What is algebra ?

Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It includes the study of operations such as addition, subtraction, multiplication, division, and the extraction of roots, as well as the properties of operations such as commutativity, associativity, and distributivity.

In order to be able to pay any amount of money less than a dollar, Freddie would need to have at least one coin of each denomination: pennies, nickels, dimes, and quarters. The smallest number of coins he would need to achieve this is 4. With one penny, one nickel, one dime, and one quarter, he would be able to pay any amount of money less than a dollar by using combinations of these coins.

Therefore , The smallest number of coins Freddie would need is 4 (one penny, one nickel, one dime, and one quarter).

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Answer:

Step-by-step explanation:

No, the ordered pair (-2, 3) is not a solution to the system of linear equations. When substituted into the equations, the values do not result in the equations being true. For the first equation, 5(-2) + 3 = -7, which is not true. Similarly, for the second equation, -3(-2) + 2(3) = 0, which is also not true. Therefore, the ordered pair (-2, 3) is not a solution to the system of linear equations.

The measure of the angle ∠CFE is 330°.

Arc length is more accurately described as the length along the perimeter of any circle or curve (arc). The arc length is the measurement of any distance along the curved path that forms the arc.

Arc refers to a segment of a curve or the circumference of a circle. Each of them is shaped like a curve. An arc's length is more than the distance in a straight line between its endpoints (a chord).

The angle ∠CFE is calculated as:-

∠CFE = 360 - ∠CEF

∠CFE = 360 - 30

∠CFE = 330

Hence, the angle ∠CFE is 330°.

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Answer:Its domain is all real numbers. Its range is all real numbers greater than or equal to zero. Its graph lies completely above the x-axis.

Answer:

sorry i got to

Step-by-step explanation:

The total number of possible outcomes when a coin is tossed ten times is 2^10 = 1024. To find the number of outcomes that have at least three heads, we can use the principle of complementary counting. We can find the number of outcomes that have fewer than three heads and subtract it from the total number of outcomes.

There are two cases to consider:

Outcomes with two or fewer heads: There are 10 ways to choose the position of the first head, 9 ways to choose the position of the second head (assuming it's not in the same position as the first head), and 8 ways to choose the position of the third head (assuming it's not in the same position as the first two heads). This gives 10 x 9 x 8 = 720 ways to have two or fewer heads.

Outcomes with zero or one head: There are 10 ways to choose the position of the first head, and 9 ways to choose the position of the second head (assuming it's not in the same position as the first head). This gives 10 x 9 = 90 ways to have zero or one head.

So the total number of outcomes with two or fewer heads is 720 + 90 = 810. To find the number of outcomes with at least three heads, we subtract this from the total number of outcomes:

1024 - 810 = 214

So there are 214 possible outcomes that have at least three heads when a coin is tossed ten times and the result, heads or tails, is recorded for each toss.

I hope this helps :)

High mean with High standard Deviation is the data outcome of stock prices would best support the idea that there is more risk with that stock.

Stock Price:

The stock price is the price of one share out of the number of shares available for sale in the company. Simply put, stock price is the maximum amount someone is willing to buy a stock, or the minimum amount someone is willing to buy.

High mean with High standard Deviation:

A high standard deviation literally means a large mean deviation from the mean. For example, a good dart his player can throw darts on the dartboard and group the darts across the bullseye. A poor darts player will hit the entire board with the darts and even miss the board completely and hit the wall. A good darts player has a smaller average distance from the bullseye to the dart, and therefore a lower standard deviation. Bad darts players have a higher standard deviation because the average distance of their darts from the bullseye is greater.

There are no objective criteria for small and large standard deviations. We can only determine whether the mean deviation is small or large, depending on the context and what is being measured. For example, when throwing a dart, being one foot away from the target is a large deviation, but when swinging a wrecking ball against a wall, it is a small deviation. It has a different purpose than darts.

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There are 40 hoses with loose fittings should the manufacturer expect out of 2,900 hoses.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

A hose manufacturer tests the fittings on every 20th hose on an assembly line.

And, Out of 145 hoses tested, 2 had issues with loose fittings.

Let number of hoses with loose fittings should the manufacturer expect out of 2,900 hoses = x

So, By definition of proportion, we get;

⇒ 2 / 145 = x / 2900

⇒ 2×2900 / 145 = x

⇒ x = 40

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The dividing by 0.5 is not the same as dividing by 2 , because 0.5 and 2 are different numbers  .

Let us understand the Division with the help of example ;

let the number be 10 ;

first we divide the number 10 by 0.5 ;

this can be written mathematically as ⇒ [tex]\frac{10}{0.5}[/tex]  ;

⇒ [tex]\frac{10}{\frac{1}{2} }[/tex] = [tex]10\times2[/tex] = 20 ;

So , on dividing 10 by 0.5 , we get the answer as 20 .

Second , the number 10 is divided by 2 ;

this can be written mathematically as ⇒ [tex]\frac{10}{2}[/tex] ;

⇒ [tex]\frac{10}{2 }[/tex]  = 5  ;

So , on dividing 10 by 2 , we get the answer as 5  .

Therefore , dividing by 0.5 is not same as dividing by 2 .

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The most likely cause of the change in population mean in year 6 is an increase in the amount of land available, which allowed for an increase in the number of rabbits.

The most likely cause of the change in population size in year 6 shown in the graph is an increase in the amount of land available. The graph shows the population size of rabbits over different years, beginning at year 4 and ending at year 7. At the beginning of year 4, the population size of rabbits is 95, and the population size increases and decreases slightly through year 6. After year 6, the population size increases greatly, ending at 275. This suggests that there was an increase in the amount of land available, which allowed for an increase in the population size of rabbits. This increase in the available land could have been due to any number of factors, such as increased human settlement, a decrease in the number of predators, or improved access to food sources. All of these factors could have led to an increase in the number of rabbits, and the resulting change in population size in year 6.

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We can see from the graph that Plan B is less expensive for the range [0, 4], however Plan A is superior if you watch 4 or more movies per month.

We know that plan A costs $14 per month plus $2 per movie, so if you watch x movies, the cost is:

C₁(x) = $14 + $2*x

Plan B costs $20 per month plus $1 per movie, so if you watch x movies, the cost is:

C₂(x) = $20 + $1*x

You can see in the graph that the blue line is behind the green one between x = 0 and x = 4. Plan B is therefore less expensive in the range [0, 4].

The green line is underneath the blue one for x > 4, hence you should select plan A for x > 4.

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Answer:

160

Step-by-step explanation:

.4x = 256  Divide both sides by .4

[tex]\frac{.4x}{.4}[/tex] = [tex]\frac{256}{.4}[/tex]

x = 640

What is 25% of 640

.25(640) = 160

Answer:

160

Step-by-step explanation:

Midpoint of any line segment can be calculated using equal ratio which is given by ( x , y ) = [( mx₁ + mx₂ )/2m , ( my₁ + my₂ )/2m ].

As given in the question,

Let us consider two endpoints of the line segment be ( x₁ , y₁ ) and (x₂ , y₂ ).

Midpoint divides the line segment into equal ratio.

Line segment divided into equal ratio of m : m

Coordinates of the mid point be ( x , y ) is given by

( x , y ) =  [( mx₁ + mx₂ )/2m , ( my₁ + my₂ )/2m ]

Line segment divided into the ratio 1 : 1

Then midpoint is equal to

(x ,y ) = [ (x₁ + x₂ )/2 , (y₁ + y₂ )/2]

Therefore, the midpoint calculated with some definite ratio is given by                  

( x , y ) =  [( mx₁ + mx₂ )/2m , ( my₁ + my₂ )/2m ].

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a. The domain of a(r) is [tex]A(r)= 2\pi r^{2} + 16\pi r[/tex].

b. The radius r as a function of a is [tex]r = -4 +\sqrt{\frac{A}{2\pi } +16[/tex] .

The three-dimensional solid shape of a cylinder is made up of two circular bases joined by a curving surface that is created by folding a rectangle. A cylinder's top and bottom faces are parallel to one another. There are 3 faces, 2 edges, and 0 vertices in all.

In this question, we must apply our understanding of cylinders to determine the function that most accurately captures its value:

[tex]r = -4 +\sqrt{\frac{A}{2\pi } +16[/tex]

The area domain of A can be represented as:

[tex]A(r)= 2\pi r^{2} + 16\pi r[/tex]

Let's divide the equation by 2π and write A(r) as just A to get:

[tex]r^{2} + 8r = \frac{A}{2\pi }[/tex]

So, after we sum on both sides we get,

[tex]r^{2} +8X +16 =\frac{A}{2\pi } + 16[/tex]

[tex](r+4)^{2} = \frac{A}{2\pi } +16[/tex]

By taking the square root of the previous equation and then figuring out r, we get:

[tex]r = -4 +\sqrt{\frac{A}{2\pi } +16[/tex]

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The types of polygons are different based on the number of sides they have and the sum of their interior angles.

The characteristics of different polygons are defined by the number of sides they have and the measure of their angles. Some polygons include:

There are other polygons and they change based on the number of sides they have.

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Answer:

Inconsistent as there are two same equations with different values.

So this doesn't make sense.

The number that comes immediately before 4099 in the sequence is 2051.

You can get this by using the rule given: "double the last number and then subtract 3"

4099/2-3 = 2049

The two games are different as Honduran futbolito is typically played on a small, concrete court.

Honduran futbolito and foosball in the United States are both games that mimic soccer, but they have some key differences. Honduran futbolito is typically played on a small, concrete court with walls that the ball can be played off of.

The game is usually played with a smaller, harder ball than a standard soccer ball. Foosball, on the other hand, is played on a table with miniature figures mounted on rods that players use to strike the ball. The game is usually played with a small, lightweight ball. Both games can be played with teams or individually, but Foosball is more common as a table-top game, while Futbolito is a street game.

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The angle is acute and the answer rounded to the nearest degree is 13.2 degrees for (a) and 71.8 degrees for (b)

(a) To find the acute angle between the lines, we need to find the slope of each line and use the inverse tangent function to find the angle between them. The slope-intercept form of the first line is y = -9x + 5 and the slope-intercept form of the second line is y = 3x - 6.

The slope of the first line is -9 and the slope of the second line is 3. To find the acute angle between the lines, we can use the formula:

angle = atan2(|m1-m2|,1+m1*m2)

where m1 and m2 are the slopes of the lines.

angle = atan2(|-9-3|,1-9*3)

= atan2(6, -24)

= atan2(6/sqrt(24^2+6^2),-24/sqrt(24^2+6^2))

= atan2(6/sqrt(600),-24/sqrt(600))

= atan2(6/24.4987, -24/24.4987)

= atan2(0.244, -0.976)

= atan2(0.244/sqrt(0.244^2+0.976^2),-0.976/sqrt(0.244^2+0.976^2))

= atan2(0.244/1, -0.976/1)

= atan2(0.244, -0.976) = 13.2 degree.

(b) The slope-intercept form of the first line is y = (7-x)/2 and the slope-intercept form of the second line is y = (2-5x)/(-1).

The slope of the first line is -1/2 and the slope of the second line is 5. To find the acute angle between the lines, we can use the formula:

angle = atan2(|m1-m2|,1+m1*m2)

where m1 and m2 are the slopes of the lines.

angle = atan2(|-1/2-5|,1-(-1/2)*5)

= atan2(5.5, -2.5)

= atan2(5.5/sqrt(5.5^2+2.5^2),-2.5/sqrt(5.5^2+2.5^2))

= atan2(5.5/6.1213, -2.5/6.1213)

= atan2(0.901, -0.408)

= atan2(0.901/sqrt(0.901^2+0.408^2),-0.408/sqrt(0.901^2+0.408^2))

= atan2(0.901/1,-0.408/1)

= atan2(0.901,-0.408) = 71.8 degrees.

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The non zero vector orthogonal to the plane through P,Q and R is ⟨0,18,−9⟩

A non-zero vector orthogonal to the plane through the points P, Q, and R can be found by taking the cross product of two vectors that lie in the plane. One way to do this is to take the difference vector of two of the points, and then take the cross product of that difference vector with the difference vector of the third point.

For example, we can use the difference vector QP = (-2,1,3) - (1,0,1) = (-3,1,2) and the difference vector RP = (4,2,5) - (1,0,1) = (3,2,4)  

The cross product of these two vectors is:

(-3,1,2) x (3,2,4) =⟨0,18,−9⟩

so the non-zero vector orthogonal to the plane through the points P, Q, and R is ⟨0,18,−9⟩

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The inequality that describes the problem is 3x ≥ 18.

This means that the length of the rectangle (x) must be greater than or equal to 6 centimeters in order to ensure that the area of the rectangle is at least 18 square centimeters.

To calculate this, we need to rearrange the equation to x ≥ 6. This is done by dividing both sides of the equation by 3, which gives us the result of x ≥ 6.

To demonstrate this, we can assume that the length of the rectangle is 7 centimeters (x = 7). Plugging this value into the equation 3x ≥ 18 gives us 3(7) ≥ 18, which simplifies to 21 ≥ 18. Since this is true, we know that the length of the rectangle (7 centimeters) satisfies the inequality 3x ≥ 18.

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Ross is studying the rate of change in the velocity of a remote controlled car he notices that the velocity of the car is increasing at a constant rate.

Graph representing the fastest rate of change of velocity of car.

Instantaneous rate of change of velocity with respect to time is referred to as Acceleration. It is calculated by the following method :

Acceleration is represented as the slope of the velocity-time graph.

This means that higher the slope of the graph (steeper graph) , higher will be the acceleration. This in turn means that the rate of change of velocity will be more.

Acceleration = dv/dt = slope of graph

Among the graphs , graph A will have maximum rate of change of velocity because the graph is most steep (max slope).

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Answer:

D

Step-by-step explanation:

If you folded the figure on the line of symmetry.  The right side would fit perfectly over the left side.

Answer: A,9

Step-by-step explanation:

g(7) = 4 and f(4) = 9

When you see something like f(g(x)) it is just asking you to find g(x) and plug that number in as x for f(x).