Using the table below, which are ordered pairs of points that can be plotted to graph

Help me aspp please thank you

In one hour Shandra can drink [tex]4\frac{2}{7}[/tex] ounces of water.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, On average, Shandra drinks [tex]\frac{3}{5}[/tex] of a 10-ounce glass of water

which is = (3/5)×10 ounces = 6 ounces in [tex]1\frac{2}{5}[/tex] an hour.

[tex]1\frac{2}{5}[/tex] hours is equal to 7/5 hours.

So, 6 ounces of water in 7/5 hours.

Therefore, In one hour Shandra can drink {6/(7/5)} = 6×(5/7) = 30/7 ounces.

= [tex]4\frac{2}{7}[/tex] ounces of water.

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The dilated figure is plotted and attached and the coordinates is written as

preimage            image

A (-4, 3)               A; (-8, 6)

B (3, 2)                B' (6, 4)

C (-4, 0)               C' (-8, 0)

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

following similar procedure for the given problem we have

preimage                           image

A (-4, 3)   → (-4 * 2, 3 * 2) →   A' (-8, 6)

B (3, 2)    → (3 * 2, 2 * 2)  →    B' (6, 4)  

C (-4, 0)  → (-4 * 2, 0 * 2) →    C' (-8, 0)

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The fifth term in the sequence is 3

What is a sequence?

Mathematical sequences are lists of elements, usually integers, where the order of the elements is important. Here, the components all fit into a precise pattern. In everyday life, sequences appear frequently. Sequences include, for instance, a row of house numbers, a pay increase each year (by a defined dollar amount or percentage), a book's page numbers, etc.

[tex]a_{n} = 4 + ( -1 )^n[/tex]

Substitute n=5

[tex]a_{5} = 4 + ( -1 )^5[/tex]

   =  4 + (-1)

   = 4 - 1

  = 3

So, the  fifth term in the sequence is 3

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Answer:

d. Orthocenter

Step-by-step explanation:

⭐What is an orthocenter?

⭐What is an altitude?

We can see that point O is the point of concurrency of the altitudes of this given triangle because there are 90° formed by the perpendicular lines.

Thus, O is referred to as the orthocenter.

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Answer:

267.95 y^3 or we can keep it like 85.333πy^3

Step-by-step explanation:

Radius of the Sphere is 4y

Volume of sphere = (4/3)πR^3, where R is the radius of sphere.

Therefore, (4/3) *π*(4y) ^3

= [(256/3) y^3]π

=85.333πy^3

=267.95y^3 (Ans)

The law of sines uses only two sides and the angles that are opposite them, while the law of cosines uses all three sides and only one of the sides opposite an angle

An angle's cosine and sine are equal to each other, with the sine of an angle equal to the cosine of its complementary angle.

The law of cosines uses all three sides and only one of the sides that are opposite an angle, whereas the law of sines only uses two sides and the angles that are opposite them. The sine ratio is used by the law of sines, and the cosine ratio is used by the law of cosines.

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Complete question

What is the difference between the law of sines and the law of cosines

Answer:[tex]50 \leq e \leq 100[/tex]

Step-by-step explanation:

'No less' corresponds to [tex]\leq[/tex].

'No more' corresponds to [tex]\geq[/tex].

Putting this together, we get [tex]50 \leq e \leq 100[/tex].

Answer:

The Answer is D:50 ≤ e ≤ 100

Step-by-step explanation:) hope this helps:)!.

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By solving a linear equation, it can be calculated that-

The two planes will be in the same altitude after 9 minutes at an altitude of 24300 feet

What is a linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, the linear equation is

Let the time taken by the airplane to meet the same altitude be t minutes

An airplane is preparing to land at an airport. It is 55800 feet above the ground and is descending at the rate of 3,500 feet per minute.

So altitude of the first airplane after t minutes = 55800 - 3500t

At the same​ airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute.

Altitude of second airplane = 2700t

By the problem,

The linear equation is

55800 - 3500t = 2700t

2700t + 3500t = 55800

6200t = 55800

t = 9 minutes

Altitude = 2700 [tex]\times[/tex] 9 = 24300 feet

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The coordinate of M is .The length of the line segment MF is √2. Hence option H is the correct option.

What is the coordinates of a point?

An ordered pair of the form of a point's name is (x, y). The x-coordinate is represented by the first integer, and the y-coordinate by the second. You must place a dot at the coordinates of the ordered pair in order to graph a point. Always begin at the beginning when possible.

Given that the coordinates of Point C is (3,7).

The coordinates of Point F is (5,5).

The coordinates of the midpoint of the line segment A(x₁, y₁)  and B(x₂, y₂) is

(x₁ + x₂/2, y₁ + y₂/2).

The x-coordinate of midpoint of line segment CF is (3 + 5)/2 = 4

The y-coordinate of midpoint of line segment CF is (7 + 5)/2 = 6

M is midpoint of CF.

Thus the coordinates of M is (4,6).

The formula of distance of two points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²].

The length of line segment of MF is √[(5 - 4)² + (5 - 6)²] units

                                                           = √(1+1)

                                                           =√2 units

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The graph that represents the solution to the compound inequality –6 ≤ 4x + 6 < 14 is given as follows:

A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.

The inequality for this problem is defined as follows:

–6 ≤ 4x + 6 < 14.

This means that two conditions have to be satisfied.

The first condition is given as follows:

–6 ≤ 4x + 6

That is:

4x + 6 ≥ -6

4x ≥ -12

x ≥ -3.

The second condition is given as follows:

4x + 6 < 14

4x < 8

x < 2.

The intersection of these two conditions is composed by the values between -3 and 2, with a closed interval at -3 and an open interval at 2.

This means that the last option is the correct option.

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An unintended consequence may be an increase in the unemployment rate.

What is Unemployment Rate?

The percentage of workers in the labour force who do not currently have a job but are actively seeking one is measured by the unemployment rate.

The formula for calculating the unemployment rate is: unemployment rate = (Number of jobless people / sums of employed and unemployed people) x 100%.

Example: If there are 500 unemployed persons and 3000 people who are employed, the unemployment rate is calculated as follows: 500/3500 x 100% = 14.29%.

Reason:

When people retire late, new people entering the workforce would have less number of jobs. So, the unemployment rate would increase.

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The values of x is x = 6 Or x = - 4 when the expression - 3x² + 6x + 72 will be zero.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Here in the problem, we have to find the roots of the quadratic equation

- 3x² + 6x + 72 = 0.

3x² - 6x - 72 = 0.

x² - 2x - 24 = 0.

x² - 6x + 4x - 24 = 0.

x(x - 6) + 4(x - 6) = 0.

(x - 6)(x + 4) = 0.

x = 6 Or x = - 4 are the values of x when the expression will be zero.

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the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.

2x + 3y + 4z = 30

3x + 4y + 5z = 45

5x + 6y + 7z = 75

The first equation is 2x + 3y + 4z = 30. The coefficients for the variables are 2, 3 and 4 which are all non-zero, meaning that this equation has a unique solution.

The second equation is 3x + 4y + 5z = 45. The coefficients for the variables are 3, 4 and 5 which are all non-zero, meaning that this equation also has a unique solution.

The third equation is 5x + 6y + 7z = 75. The coefficients for the variables are 5, 6 and 7 which are all non-zero, meaning that this equation also has a unique solution.

Therefore, the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.

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Answer:greater

Step-by-step explanation:

Answer:

972 is greater than 792.

Radiocarbon dating is effective on specimens up to 40,000 years old. In 1953, a nuclear chemist was trying to determine the age of some scrolls that were recently found. Carbon-14 has a half-life of 5730 years. If he found 79.5% of the original carbon-14 still present, in about 1908 year were the scrolls made.

Disintegration constant is another name for the decay constant. It is the ratio of the number of radioactive atoms that break down quickly to the number of the same sort of atoms that were there at the beginning.

Given data:

Carbon-14 has a half-life = 5730 years

So, formula for decay constant:

= log 2/half life

= 0.693/5730

=0.0001209

exponential decay equation:

N(t) = N₀[tex]e^{kt}[/tex]  ............ (i)

where N₀ is initial amount ;

N(t) = final amount ;

t = time;

k =decay constant

Given that,

N(t)  =0.794 N₀

Now, putting the values in equation (i), we get -

0.794 N₀ = N₀ [tex]e^{-0.0001209t}[/tex]

0.794 = [tex]e^{-0.0001209t}[/tex]

take on natural log on both sides:

ln 0.794 = -0.0001209 t

t = 1907.95  years

t = 1908 years

Therefore, it took 1908 years.

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Answer: -90

Step-by-step explanation: To solve this equation for y, we need to isolate the variable y on one side of the equation. To do this, we can multiply both sides of the equation by -5 to get rid of the fraction on the right side:

18 = y / -5

18 * -5 = y / -5 * -5

-90 = y

Therefore, the value of y that satisfies the equation is -90.

Answer: 9d

Step-by-step explanation:

10d+d-2d = 9d

A sample's accuracy is determined by how well it captures the genuine characteristics of the population it represents true

Accuracy is a measure of how closely a sample reflects the true values of the population it is representing. A sample that is accurate is one that accurately reflects the characteristics of the population it is representing. For example, if a sample is taken from a population of 1000 people, the sample should represent the diversity of the population, such as age, gender, race, and other characteristics. If the sample accurately reflects these characteristics, then it can be said to be accurate. The accuracy of a sample can be determined by comparing it to the population it is representing, either through surveys, interviews, or other data collection methods. If the sample closely matches the true values of the population, then it can be said to be accurate. If there are discrepancies between the sample and the population, then the sample is not accurate.

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The number of bears living in the area after 17 years is; 22555

We are given the function;

f(t) = 103/(1 + 26e^(-0.31t))

Where f(t) is a function that models the number of bears living in the area after t period of years.

Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;

f(17) = 103/(1 + 26e^(-0.31*17))

f(17) = 103/0.00456653759

f(17) ≈ 22555 bears

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Answer:

umm it's 3

Step-by-step explanation:

Polling mistakes are frequently caused by poorly written questions. People frequently misunderstand questions that are worded strangely and react to the question inaccurately, which leads to an error in the polling data. Due to misinterpretation, people frequently react differently than they would typically say , then option c is correct.

Limited respondent selections, a lack of knowledge, difficulty assessing intensity, and lack of interest in political matters are just a few of the factors that might make a poll unreliable.

Survey mistake, fewer respondent alternatives, a lack of knowledge, problems assessing intensity, and a lack of interest in political matters are some potential polling weaknesses.

The drawback of polling is that if there are too many devices to check, it may take longer to service an I/O device than it does to poll all of the devices.

Instrumental, environmental, procedural, and human errors are frequent causes. Depending on how they affect the outcomes, each of these errors can either be random or systematic.

Therefore,

Polling mistakes are frequently caused by poorly written questions. People frequently misunderstand questions that are worded strangely and react to the question inaccurately, which leads to an error in the polling data. Due to misinterpretation, people frequently react differently than they would typically say , then option c is correct.

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The given linear equation (1/3)x+ y=2 in the slope-intercept form is

y=(-1/3)x+2.

Where m is the slope and b is the y-intercept, the slope-intercept form is represented as y = mx+ b. By utilizing y=mx+ b, a line is typically simple to graph. The point-slope form and standard form of linear equations are further types. Example 1: A line with a slope of 1/2 and a y-axis crossing at (0, -3). Calculate the line's equation. It is y = x/2 - 3 that determines the line's equation. Example 2: Determine the equation utilizing the y-y-intercept axis's and the horizontal line's slope intercept formula (0, 8).

Finding the slope between two points on a line and then solving for the y-intercept in the slope-intercept equation y=mx+ b allow us to build an equation for that line.

Given linear equation is:

(1/3)x+ y=2

The following is the slope-intercept form of the given linear equation:

y=(-1/3)x+2

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Answer:

Step-by-step explanation:

It is easier to graph using a free online graphing utility, such as DESMOS.  See the attached graph.  If the goal is to make a graph with pencil and graph paper, then select a few values of x  and put them into the equation to find y.

A talble of a few random values is attached.  

The graph includes both the generated DEMOS line (a downwards parabola) and the calculated points from the attached table.  Add the points to a blank graph and draw a line as best you can that connects all the points.  It is clear that a few more points with negative values of x would help with the line drawing.

The possible solutions of the inequality expression given as 20y < -5 + 18y are (c) y < -5/2, y < -2.5 and (d) -2.5 > y

From the question, we have the following parameters that can be used in our computation:

20y < -5 + 18y.

To start with, we need to collect the like terms of both sides

Using the above as a guide, we have the following:

20y -18y < -5

Next, we need to evaluate the like terms of both sides

Using the above as a guide, we have the following:

2y < -5

Lastly, we divide both sides by 2

y < -5/2

Express as decimal

y < -2.5

Switch the positions

-2.5 > y

Hence, the solutions are y < -5/2, y < -2.5 and -2.5 > y

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The step in which there is a problem is the operation in step 4. option C

In this question, we are expected to solve the problem in a number of steps. We know that in mathematics, the solution to a given problem can only be worked out through a number of steps that can help us to be able to know what the correct solution of the problem ought to be.

In this case we have a simplification problem. It should be know that the acronym of BODMAS has to be called to mind here and that is;

Mathematical operations would have to be carried out in this order else there would be a mistake in it. We can see that the addition in step 4 before division did not follow the principle of BODMAS thus that step is wrong.

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The total cost of the rental if Dana drives the car for 15 miles is $90.2

From the question, we have the following parameters that can be used in our computation:

C = 73.25 + 1.13m

Where

m = number of miles

This means that

m = 15

SO, we have the following equation

C = 73.25 + 1.13 * 15

Evaluate

C = 90.2

Hence, the total cost is $90.2

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"Dana and her family are going to Six Flags Great America the sum- mer after her Sophomore year. She is excited, because she will be doing all driving: After doing some complicated analysis, she calcu; lates that it will cost a certain amount per mile to pick up everyone and drive to the park, plus flat amount for everyone's admission tickets. The equation below models the total cost, €,and the variable m represents the number of miles driven: C = 73.25 + 1.13m

The given system of linear equations has no solutions. Thus, they are said to be an inconsistent system of equations.

The given system of equations is

x = 7y + 12 ...(1)

2x - 14y = 11 ...(2)

Since equation (1) is directly given for the variable 'x', substituting (1) in the (2). So, we get

2(7y + 12) - 14y = 11

⇒ 14y + 24 - 14y = 11

⇒ 24 = 11

This is not possible. So, the system has no solution. Hence it is an inconsistent system.

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Answer:

axis of symmetry : x = 4

coordinates of the vertex : (4, 28)

Step-by-step explanation:

Before we start solving, let's define what the coefficients of this quadratic equation is.

[tex]y = ax^2 + bx + c[/tex]

[tex]y = -x^2 + 8x + 12[/tex]

a = -1

b = 8

c = 12

⭐What is the axis of symmetry?

To find the axis of symmetry, we need to find the x-coordinate of the vertex.

Equation for the x-coordinate of the vertex:

[tex]x = \frac{-b}{2a}[/tex]

Substitute the values of a, b, and c into this equation and compute.

[tex]x = \frac{-(8)}{2(-1)}[/tex]

[tex]x = \frac{-8}{-2}[/tex]

[tex]x = 4[/tex]

∴ The axis of symmetry is x = 4

⭐What is the vertex of a parabola?

To find the x-coordinate of the vertex, you can use the formula: [tex]x = \frac{-b}{2a}[/tex].

To find the y-coordinate of the vertex, substitute the x-coordinate of the vertex and compute.

x-coordinate: 4

y-coordinate:

[tex]y = -x^2 + 8x + 12[/tex]

[tex]y = -(4)^2 + 8(4) + 12[/tex]

[tex]y = -(16) + 32 + 12[/tex]

[tex]y = -16 + 44[/tex]

[tex]y = 28[/tex]

y-coordinate: 28

∴ The coordinates of the vertex is (4,28)

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The length of the diagonal path that leads to the original position of the moth that travels 2 meters down and, 3 meters along a wall, then 4 meters along a perpendicular wall, representing the dimensions of a rectangular prism is √(29) meters

The diagonal of a rectangular prism is a segment that stretches from one corner of the prism to the opposite corner of the prism, passing through the center of the prism.

The distance down the wall the moth crawled = 2 meters

The distance along the same wall the moth crawled = 3 meters

The distance the moth crawled along the adjoining wall = 4 meters

Angle at which the walls join = 90°

The distance distance traveled by the moth when flying in a straight line back to its original position is a diagonal of a rectangular prism of height, h = 2 meters, width, w = 3 meters, and length, l = 4 meters

The length of the diagonal of a rectangle that has height, h, width, w, and length, l, is found using the following formula;

d = √(h² + w² + l²)

The length of the diagonal along which the moth flies is therefore;

d = √(2² + 3² + 4²) = √(29)

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