the tortoise and the hare are having a race. in this tale, the tortoise moves at feet per hour while the hare moves at feet per hour. the tortoise takes hours longer than the hare to finish. what was the distance of the race?

The solution of the given inequalities is given below:

a. x < 5 or x < -3

b. x ≥ 4

The solution of an inequality is the value that will make the inequality true.

The solution of the given inequalities is determined as follows:

a. x² - 2x - 15 < 0

x² - 5x + 3x - 15 < 0

x(x - 5) + 3(x - 5) < 0

x - 5 < 0

x < 5

or

x + 3 < 0

x < -3

b. |3x-2| ≥ 10

3x - 2 ≥ 10

3x ≥ 10 + 2

3x ≥ 12

x ≥ 4

The solutions are shown in the number lines attached.

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American household size According to government statistics, a family is defined as two or more people who live together and are related by blood or marriage, whereas a household is defined as all the residents of a dwelling unit.

A housing unit, also known as a dwelling unit or a housing unit, is a building, a portion of a building, or a space that is used as a home, a place to live, or a place to sleep by one or more people who maintain a common household.

Size of American households In contrast to a household, which is defined as all the occupants of a dwelling unit, a family is defined as two or more people who live together and are related by blood or marriage.

As a result, although all families are part of households, some households do not.

Therefore, American household size According to government statistics, a family is defined as two or more people who live together and are related by blood or marriage, whereas a household is defined as all the residents of a dwelling unit.

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The lines that are perpendicular to 3x – y = 10, are y = –1/3x + 17 and x + 3y = 27.

The correct option is B and C.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

We have a linear equation,

3x – y = 10.

Arranging to the slope-intercept form.

y = 3x - 10.

The slope of the lines that are perpendicular to line y = 3x - 10,

= negative reciprocal of 3

= -1/3

Therefore, the required lines are y = –1/3x + 17 and x + 3y = 27.

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We can write the expression as →

{z} = n{x + y}

Given is that Bryce, Alejandro and Dominic went for hiking.

Assume that Bryce and Alejandro travelled {x} and {y} miles respectively.

Assume that Dominic hiked {z} miles and {n} times as far as Bryce and

Alejandro hiked.

We can write the expression as -

z = n{x + y}

Therefore, we can write the expression as →

{z} = n{x + y}

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I have been working 1004 days at the job as a student

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, and division among others.

To solve this problem we must perform the following algebraic operations with the given information

Calculate the days from 08/21/2019 to 08/21/2022, we get:

Days 1 = (08/21/2022 - 08/21/2019) * (365 days/1 year)

Days 1 = 3 years * (365 days/1 year)

Days 1 = 1095 days

Calculate the days from 05/21/2019 to 08/21/2019, we get:

Days 2 = (08/21/2019 - 05/21/2019) * (30 days / 1 month)

Days 2 = 3 months * (30 days / 1 month)

Days 2 = 90 days

Calculating the days from 05/20/2019 to 05/21/2019, we get:

Days 3 = 05/21/2019 - 05/20/2019

Days 3 = 1 day

Calculate the total days from 08/21/2019 to 05/20/2022, we get:

Total days = Days 1 - days 2 - days 3

Total days = 1095 days - 90 days - 1 day

Total days = 1004 days

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To flush twice the volume of water contained in the system, you would need to flush 18.2 gallons x 2 = 36.4 gallons of water through the system.

To calculate the volume of water contained in the system, you would use the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the pipe (half the diameter), h is the length of the pipe, and π is approximately 3.14.

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Answer:

a) linear function

b) quadratic function

Step-by-step explanation:

a) j(n) is a linear function since 5 is added everyday.

b) t(n) would be a quadratic function because the total amount of jumping jacks wouldn't have the same number that is beiung added.

day 1 = 5

day 2 = 15

day 3 = 30

day 4 = 50

day 5 = 75

This is showing that at first 10 jumping jacks are added but then for day 2 15 are added, for day 3 20 are added and so on.

Answer: its -81

hope this helps

The x-coordinates of the endpoints are the same.

What are the coordinates?

Coordinates are a set of numbers that are used to specify the position of a point on a graph or a coordinate plane. The most common type of coordinate system is the Cartesian coordinate system, which uses two perpendicular number lines called the x-axis and the y-axis to define the position of a point.

When talking about coordinates, there are two types of coordinates: x-coordinates and y-coordinates. The x-coordinate refers to the horizontal position of a point on a graph or a coordinate plane, while the y-coordinate refers to the vertical position of the point.

In the statement "The x-coordinates of the endpoints are the same," it means that the horizontal position of the two endpoints is the same. These endpoints could be the two points that define a line segment, a geometric figure, or a graph. The x-coordinates of both of these points are the same, while the y-coordinates could be different.

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The expression for the perimeter of the triangle will be 6x + 22.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The perimeter of the triangle is determined by adding together all of its sides.

A workmanship class is making a painting for their school which has a triangle attracted the center. The length of the lower part of the triangle is x. Another side is 11 a larger number of than 4 times the length of the lower part of the triangle. The last side is 11 a greater number of than the lower part of the triangle.

Then the dimension of the triangle will be x, 4x + 11, and x + 11. Then the perimeter isgiven as,

P = x + 4x + 11 + x + 11

P = 6x + 22

The expression for the perimeter of the triangle will be 6x + 22.

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i think it is 326.7 but i really not sure

Answer:

900

Step-by-step explanation:

90 x 10

A   Are they are limited to the amount of paint they have?      80g / 1 g/mile  = 80 miles       using all of the paint

         50 trucks /2 trucks/mile  = 25 miles     using all of the  trucks of asphalt

B    25 miles of bridge =  =    25 trucks   leaving 25 trucks of asphalt         25 trucks/2 trucks/mile = 12.5 miles of land highway  possible

      25 miles of bridge =       25 miles x 3 gal/mile = 75 gallons of paint    leaving only 5 gallons of paint for 5 add'l land miles

         25 miles of bridge + 5 land miles = 30 miles total highway .

The transformation represented by the figure is (a) reflection

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

The figure

On the figure, we can

An arc and its mirrored image

When a shape is mirrored to form another, then the transformation is a reflection

Hence, the transformation is reflection

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How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out

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The equations of the lines are

The parallel lines

We have the points to be

(3, 6) and (0, 2)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 2

Using the points, we have

6 = 3m + 2

So, we have

3m = 4

Divide

m = 4/3

So, the equation is

y = 4/3x + 2

For the other parallel line, we have

y = 4/3x - 2

Perpendicular line

The slopes of parallel and perpendicular lines are opposite reciprocals

So, we have

m = -3/4

This gives

y = -3/4x + c

We have the point to be (0, 8.5)

So, we have

y = -3/4x + 8.5

y = -0.75x + 8.5

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The set of mobile gaming apps in which the number of monthly users was greater than 12 million is {A, B}

A set is a collection of distinct objects, called elements or members, that are brought together by a common property or rule.

Sets can be represented using set notation, which uses curly brackets {} to enclose the elements of the set. For example, the set of natural numbers less than 5 can be represented as {1, 2, 3, 4}.

The set of mobile gaming apps in which the number of monthly users was greater than 12 million can be determined by checking given the table for mobile gaming apps with value greater than 12 million.

You will notice that only A and B have values greater than 12 million. That is 23 million and 13 million for A and B respectively.

Thus, the set will be {A, B}

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The symbolic representation is pUq

Symbolic representation is defined as the representation of a principal, a nation for example, through a symbol, such as a flag, that evokes particular meanings and emotions about the nation

Papa Smurf is green or the Snorks use clams as money

let's suppose p = Papa Smurf is green

or q = Snorks use clams as money

here and logic is used in between Papa Smurf being green or the Snorks using clams as money

Or logic is represented by "U".

pUq will be the correct answer.

NOTE- a symbolic representation of Or is  U.

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In a connection that is represented by an exponential function, the independent variable's proportional change is unchanged with a constant change in the independent variable.

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

When the input variable x appears as an exponent in the formula f(x) = axe, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x.

After x hours, you will have twice as much germs if you start with one and it doubles every hour. F(x) = 2x can be used to express this.

The fundamental exponential function generally has the shape,

y = nakx-------

(0,3) is the function's y intercept.

This location has to satisfy the equation (1). So let's substitute in order to get,

3 = na k(0)

⇒ 3 = n x a 0

⇒ 3 = n x 1

⇒ n = 3

Our equation 1 now changes.

y = nakx-------

Noting that the graph crosses through,(1 ,1) it must also satisfy its equation because it does so. Equation (2) can be solved by substituting this point, giving us

1 = 3ak (1)

⇒ 1/3 = ak

Now let's enter the value of ak = 1/3 into equation (3) to get,

y = 3(1/3)x

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Answer: The number of elk that are likely to be infected can be estimated using the sample proportion of infected elk. The sample proportion is the ratio of the number of infected elk in the sample to the total number of elk in the sample.

In this case, the sample proportion is:

7/50 = 0.14

This proportion can be used to estimate the proportion of the entire population of elk that is infected. To do this, we can multiply the sample proportion by the total population of elk and round to the nearest whole number.

0.14 * 6,000 = 840

So, it's likely that 840 elk are infected.

Please note that this is an estimate and the actual number of infected elk could be different. Additionally, this estimation is based on a random sample, so it can have a margin of error.

Step-by-step explanation:

The expression that correctly shows 6 x 6 in exponential notation is 6²

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

6 * 6

Next, we apply the law of indices/exponent

So, we have the following representation

6¹⁺¹

Evaluate the sum

6²

Hence, the correct expression of 6 * 6 is 6²

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The minimum weight of the middle 95% of the players are 151 pounds.

The question is asking for the lower bound of the 95% two tailed Confidence interval of the normally distributed population.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

95% of C.I. is given by 220 + or - 1.96(15)

       = 200 + or - 29 = (191)

Two standard deviations is =2×15=30 pounds

Minimum Weight =220−29 =  191 pounds

Therefore, the minimum weight of the middle 95% of players is 191 pounds.

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False claims do not have to engage with previous theories in order to be effective. So it must contradict previous theories. So the option d is correct.

A tentative, verifiable explanation for a natural world phenomenon is what is known as a scientific hypothesis. The scientific method's foundational element is it.

It's sometimes referred to as a "informed guess" that was made using past knowledge and observation. Despite the fact that this is true, a hypothesis is a better guess.

Creating a hypothesis calls for active observation and background research, in contrast to making a "informed guess," which implies a random prediction based on one's expertise. A hypothesis is predicated on the fundamental tenet that no outcome is predetermined.

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The rate of change in this context refers to the change in the value of p, specifically between the peak and closing.This allows us to understand how much p changes on average between these two points in time.

It is a measure of how quickly or slowly the value of p is changing over time.

By calculating the average rate of change, we can understand the overall trend of the value of p and whether it is increasing or decreasing at a steady rate or if there are fluctuations.

This information can be useful for understanding the performance of a stock or investment, as well as predicting future trends.

Additionally, the rate of change can also help to identify any potential issues or opportunities within the market.

Overall, the rate of change provides a clear picture of the stock's performance over a certain period of time.

To calculate the average rate of change of p between peak and closing, we need to find the difference in p values (p(14) - p(8)) and divide that by the difference in time (14 - 8).

p(14) - p(8) = ? - ? = ?

(14 - 8) = ?

The average rate of change of p is ?/6.

The meaning of the rate of change in the context of this problem is the average change in the value of p per unit of time.

In this case, we are looking at the average change in p between the peak and closing, and expressing that change as a ratio of p(14) - p(8) to (14 - 8). This allows us to understand how much p changes on average between these two points in time.

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Answer:

graphing on a graph

Step-by-step explanation:

The rate of the jet in still air is 741 mph, and the rate of the wind is 150 mph.

What is rate ?

A rate is a ratio of two quantities, typically a change in one quantity over a corresponding change in another quantity, often over a specific time period. For example, the interest rate on a loan is the ratio of the interest paid to the amount of the loan. A speed is a rate at which an object covers distance, velocity is a rate of change of position, etc.

To find the rate of the jet in still air:

Rate = Distance / Time

The distance is 2964 miles, and the time is 4 hours. So the rate of the jet in still air is:

Rate = 2964 / 4 = 741 mph

To find the rate of the wind, you can use the formula:

Wind Rate = (Distance with wind - Distance against wind) / Time

The distance with the wind is 3564 miles, the distance against the wind is 2964 miles, and the time is 4 hours. So the rate of the wind is:

Wind Rate = (3564 - 2964) / 4 = 600 / 4 = 150 mph

So the rate of the jet in still air is 741 mph, and the rate of the wind is 150 mph.

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The numerical value of x and the measure of segment BC are 1 and 5 respectively.

Given that; B is a point between A and C.

Since B is between A and C

AC = AB + BC

8 = 3x + 5x

Solve for x

8 = 8x

8x = 8

x = 8/8

x = 1

Next, determine the measure of BC,

BC = 5x

Plug in x = 1

BC = 5( 1 )

BC = 5

Therefore, x equal 1 and the measure of BC is 5.

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The thieves could take approximately 1555 bars of platinum.

Pt stands for platinum, an atomic number 78 chemical element. It is a thick, malleable, ductile, very inert, silvery-white-colored transition metal. Its name comes from the Spanish diminutive platina, meaning "silver"

One 1 lb bar of platinum has a volume of approximately 0.11 cubic feet. Assuming the density of platinum to be approximately 21 g/cm^3, the weight of 1 lb bar of platinum is approximately 0.45 kg. The maximum payload capacity of the small truck is approximately 317 kg. Hence, the thieves could take approximately 700 / 0.45 = 1555 bars of platinum.

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The correct solution for the following system of Inequalities is (-1, 1) because it is on the darker region.

An equation is an expression that shows the relationship between numbers and variables.

Inequalities is used for the non equal comparison of these numbers and variables.

Let x represent the x axis and let y represent the y axis.

The solution to the system of linear equalities is the intersection of both inequalities which is the darker region.

The point that satisfies both inequalities as shown on the graph is (-1, 1) because it is on the darker region.

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