In Hillsdale, the library is due south of the courthouse and due west of the community
swimming pool. If the distance between the library and the courthouse is 15 miles and the
distance between the courthouse and the city pool is 25 miles, how far is the library from the
community pool?

Using the vertical line test we conclude that y is not a function of x.

When we have the graph of a relation, the vertical line test says that if we draw a vertical line over the graph and it intercepts the graph in more than one point, then the graph does not represent a function.

Here we have the graph of a circle, and there are multiple lines that intercept the graph twice (for example the line x = 0)

So we can conclude that this is not a function, thus, the correct option is A.

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To find the distance from point P to the curved edge of the door mat, we can use the formula for an ellipse: (x/a)^2 + (y/b)^2 = 1, where a is the semi-major axis (half the length of the flat edge) and b is the semi-minor axis (half the length of the curved edge).

In this case, a = 148/2 = 74 cm and b = 58 cm. The point P is located 30 cm from the center, so x = 30 cm. We can plug these values into the formula and solve for y:

(30/74)^2 + (y/58)^2 = 1

0.1649 + (y/58)^2 = 1

(y/58)^2 = 0.8351

y^2 = 2805.72

y = sqrt(2805.72)

y = 52.97 cm

Therefore, the distance from point P to the curved edge of the door mat is approximately 52.97 cm.

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The proposition in this set of options is:

A. Aristotle was born in northern Greece.

A proposition is a key idea in philosophy of language and related disciplines, and it is frequently referred to as the main carrier of truth or untruth. The kind of object that declarative sentences signify is another way that propositions are frequently described. The statement "The sky is blue," for example, expresses the idea that the sky is blue.

A proposition is a statement that can either be true or false. Therefore, the proposition in this set of options is:

A. Aristotle was born in northern Greece.

This is a proposition because it is a statement that can be evaluated as true or false. The other options are not propositions:

B. This is a question and not a statement, so it is not a proposition.

C. This is an equation, not a statement, so it is not a proposition.

D. This is a command, not a statement, so it is not a proposition.

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So, in response to the above question, we can state that Due to the use equation of two partial products, 10 x 18 and 2 x 18, Tom is accurate that 12 x 18 equals 216.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

Tom is accurate;  

Using partial products, where one of the numbers is divided into smaller pieces and each piece is multiplied by the other number, is an alternate approach. The ultimate result is then calculated by adding the products.

In this instance, Tom has divided 12 into 10 + 2 and is independently multiplying each portion by 18.

10 x 18 = 180

2 x 18 = 36

We only need to combine the two partial products to obtain the outcome:

180 + 36 = 216

Due to the use of two partial products, 10 x 18 and 2 x 18, Tom is accurate that 12 x 18 equals 216.

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Answer: its 5y >32

Step-by-step explanation:

The minimum number of trips needed to haul 20,000 cubic feet of dirt is B) 17.

What is capacity?

The ability to hold or contain something. The maximum amount or number that can be contained in a room's seating capacity.

The capacity of the dump bin is:

21 feet (length) x 8 feet (width) x 6 feet (height) = 1,008 cubic feet

The dump bin can hold dirt equivalent to 1.2 times its capacity, which is:

1.2 x 1,008 cubic feet = 1,209.6 cubic feet

To haul 20,000 cubic feet of dirt, you need:

20,000 cubic feet / 1,209.6 cubic feet per load = 16.52 loads

Since you can't have a fraction of a load, you need to round up to the nearest whole number, which is 17 loads.

Therefore, the minimum number of trips needed to haul 20,000 cubic feet of dirt is B) 17.

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The midline y of the given function f(x)=3(cos(x-(\pi )/(3))+1) is 3.

A sinusoidal function's midline is the horizontal axis around which the signal goes up and down above and below. The midline is y = 0 for y = sin x. (the x-axis). The maximum and minimum values of the graph are situated on either side of the midline, which runs parallel to the x-axis.

Comparing the given function f(x) = 3(cos(x-(\pi )/(3))+1) with the standard form of cosine function:

y = acos(bx + c) + d

a = 3 and d = 1

The maximum value = 3 + 2 = 5

The minimum value = 3 - 2 = 1

The midline is given as:

midline = 1/2(maximum value - minimum value)

midline = 1/2(5 + 1)

midline = 3

Hence, the midline y of the given function is 3.

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Answer:

Using the equation y = 2x, some ordered pairs are as follows (- 1, - 2), (0, 0), (1, 2), (2, 4), (3, 6).

Step-by-step explanation:

BY WAY UR GLY

Answer:

See My Attached Work For Answer. (POV THIS WAS HARD!!!)

Step-by-step explanation:

The solution to the equation 17(4 + 15) is 323

An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication, exponents

Given the equation:

17(4 + 15)

= 17(19)

= 323

OR

17(4 + 15)

= 17(4) + 17(15)

= 68 + 255

= 323

The solution to 17(4 + 15) can be gotten by determining the product of 17 and 19; or adding the product of 17 and 4 to the product of 17 and 15

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The function that represents linear function is y = 1/4(x) - 1. The correct answer is option(c).

A linear function is a which can be expressed in the form of,

y = mx +  c

In the given question,

x = 1 is a constant function.

y = 1/3(x²) is a parabolic function.

and,

4x - 2 = 6 is also a constant function.

In the case of y = 1/4(x) - 1, We can compare the value with the standard equation.

We get,

m = 1/4

and, c = -1 which is an equation of a straight line.

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The missing coordinate of P is (−3/7, 5/7).

In mathematics, coordinates are used in the study of geometry and algebra to describe points, lines, planes and curves. Two or three points can be used to define a line, and a set of points can be used to define a plane. Coordinates can also be used to solve equations or to establish relationships between different figures.

In two-dimensional space, coordinates are usually written as pairs of numbers, such as (x, y). The first number (x) is the horizontal position, and the second number (y) is the vertical position. In three-dimensional space, coordinates are usually written as triples of numbers, such as (x, y, z). The first number (x) is the horizontal position, the second number (y) is the vertical position, and the third number (z) is the depth.

To find the missing coordinate of P, we can use the fact that P lies on the unit circle in quadrant IV. Since the unit circle is centered at (0,0), has a radius of 1, and is in quadrant IV, this means that the x-coordinate of P must be negative.

Since the unit circle has a radius of 1, the coordinates of P must satisfy the equation x2 + (5/7)2 = 1.

We can solve this equation by subtracting (5/7)2 from both sides, then taking the square root of both sides to get:

x2 − (5/7)2 = 1 − (5/7)2

x = √(1 − (5/7)2)

x = √(1 − 25/49)

x = −3/7

Therefore, the missing coordinate of P is (−3/7, 5/7).

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The volume of grains stored in Adam's family farm in m³ is 14.374m³.

What is meant by volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. Knowing an object's volume can help us figure out how much a substance is needed to fill it, such as how much water is needed to fill a bottle. Cubic units are used to quantify a solid's volume. Volume is another word for capacity.

Given,

 The volume of grains stored in the farm = 18.8 yards³

It is given that 1 yard = 0.9144 m

We are asked to find the above volume of grains from yards³ to m³

if

1 yard = 0.9144 m

1 yard³ = 0.9144 m * 0.9144 m * 0.9144 m

18.8 yards³ = 18.8 * 0.9144*0.9144*0.9144 = 14.374 m³

Therefore the volume of grains stored in the farm in m³ is 14.374m³.

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Answer:

A. 25% off $20

C. $14 plus 7% sales tax

D. $14 plus 7% sales tax

E. 20% off $18 then a 10% shipping fee

Step-by-step explanation:

The rest i did the math and it doesnt add up. But your option B. is either typoed or i dont know. If its a typo then include that in your answer as well

The equation of the graphed function is y = x + 4, x ≥ 4 and y = x² + 3, x < 4

A similar question is added as an attachment

From the attached, we can see that the function types are:

Based on the list of options, we have:

Next, we look at the intervals (domain)

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Answer:

Below

Step-by-step explanation:

The dose can be .05 gm  ± .002 gm  =  .048 - .052 gm

Answer:

Step-by-step explanation:

ASQASSA

The value of Tan B rounded to the nearest hundredth is 0.01.

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.


Tan B is a trigonometric ratio that is determined by the ratio of the side opposite an angle to the side adjacent to the angle. To find the value of Tan B, you need to know the angle measure (B) and the lengths of the two sides. For example, if the angle B is 45 degrees and the adjacent side is 8 cm and the opposite side is 8 cm, then Tan B = 8/8 = 1.

To round the value of Tan B to the nearest hundredth, we will use the rounding rule of "5 up". This means that any value that is greater than or equal to five will be rounded up, and any value that is less than five will be rounded down. In this case, Tan B is equal to 1 and is less than five, so it should be rounded down to 0.01. Therefore, the value of Tan B rounded to the nearest hundredth is 0.01.

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Answer:

Step-by-step explanation:

To determine the number of water tables set up for the Bridge Run, we need to divide the total length of the run by the distance between the water tables.

The total length of the run is given as 12 km.

The distance between the water tables is 600 meters.

To convert the units, we can express the total length of the run in meters:

12 km = 12,000 meters

Now we can divide the total length of the run by the distance between the water tables:

12,000 meters ÷ 600 meters = 20

So there are 20 water tables set up for the Bridge Run.

Answer:

the answer is (a) the probability that a person will order pie

Answer:

Step-by-step explanation:

here is a step-by-step explanation:

Convert half a gallon of milk to liters. There are 3.785 liters in a gallon, so half a gallon is 1.892 liters.

Convert 5 ounces to liters. There are 0.147868 liters in 5 ounces.

Divide the total volume of milk (1.892 liters) by the volume of each bottle (0.147868 liters) to find out how many bottles can be filled completely:

1.892 liters / 0.147868 liters per bottle = 12.8 bottles

Note that the answer is not a whole number, which means there will be some leftover milk after 12 bottles are filled.

To find out how many milliliters are in each bottle, we can convert 5 fluid ounces to milliliters:

5 fluid ounces x 29.5735 milliliters per fluid ounce = 147.868 milliliters

Therefore, each bottle will contain approximately 147.868 milliliters of milk.

So, in summary, with half a gallon of milk, you can fill 12 bottles completely and each bottle will contain about 147.868 milliliters of milk.

Answer:

The Playground of Europe is:

C) Switzerland.

Step-by-step explanation:

Hope it helps! =D

The most appropriate statistical test is a two-way ANOVA

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

Question: Is there a difference in mean height between middle school students based on gender (male and female) and grade (6th, 7th, 8th)?

The most appropriate test is the two-way ANOVA

This is so because the test is a type of hypothesis test that uses a statistical model to analyze the variance between groups and within groups.

It tests the null hypothesis that the means of all groups are equal against the alternative hypothesis that at least one group mean is different from the others.

In this case, the groups are

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The requried, Bad Bunny may have made around $34.6 million from his 9.1 billion streams on Spotify in 2021.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As of 2021, Spotify's average payout per stream is about $0.0038, which means that an artist earns approximately 0.38 cents per stream.

So, to calculate Bad Bunny's potential earnings from 9.1 billion streams on Spotify, we can use the following equation:

Earnings = Number of Streams x Payout per Stream

Earnings = 9,100,000,000 x $0.0038

Earnings = $34,580,000

Therefore, based on this rough estimate, Bad Bunny may have made around $34.6 million from his 9.1 billion streams on Spotify in 2021. It's important to note that this is just an estimate and that the actual amount he earned could be higher or lower depending on the factors mentioned earlier.

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Step-by-step explanation:

the wrong ratios were compared.

the ratio of corresponding line segments is the same :

RS/RQ = ST/QU

5/6 = 10/x

5x = 60

x = 12

also the second question can be seen as 2 projections with the same angle at different distances of the projection screen.

the baseline has 2 segments : 11 and 29-11 = 18.

the ratio between both segments is the same as the ratio of both legs:

11/18 = 16.5/p

11p = 297

p = 297/11 = 27

and the 3rd question is exactly based on the same structure.

the ratio of the baseline segments is the same as the ratio of the legs, as both sides of the central line are equal projections of different distances at the same projection screen :

4/6 = 8/y

4y = 48

y = 12

The answer is 0.294. This can be found by using the pbinom function in R.

Function is the process or state of instruction that text inputs performance is specific tax and produce an output functional key components of programming language allowing the quarters to create complex commands with simple instruction for example a function can be used to add two numbers round together or to generate a random number function can also be combined to create more complex sequence of instruction.

This function calculates the cumulative probability of a binomial variable from 0 to a certain value. In this case, the probability of Y being greater than or equal to 60 and less than or equal to 70 is 0.294.

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Answer: x = 41

For x in the equation

5/25=9/(x+4)

5(x+4) =9(25)

5x + 20 = 225

5x = 205

x = 41

Therefore, the value of x for the equation 5/25=9/(x+4) is x = 41

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The total temperature change over the 5 day period is - 16°F

Temperature is a measure of how hot or cold and object or environment is. It is measured in degree on the calcium where you need or kelvin scale different objects and environment have different temperature.

The total change in temperature over the 5 day period is the products of to the mean temperatures and the numbers of days which gives a value of - 16°F

Mean temperature = - 3.2°F

Number of days = 5

Total change = mean temperature × Number of days

The total temperatures change can be calculated thus :

(-3.2) × 5 = - 16°F

Therefore, the total temperature changes over the 5 day period is - 16°F

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Answer:

x=14, and value of second one would be 7

Step-by-step explanation:

The expression b²c²d³f⁴ - 4dfbc² when simplified is bdc²f(bd²f³ - 4)

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

b²c 2d³f4 - 4d fl b[ ]c[] -2​

Express properly

So, we have the following representation

b²c²d³f⁴ - 4dfbc²

Factor out dc² from the expression

So, we have the following representation

b²c²d³f⁴ - 4dfbc² = dc²(b²d²f⁴ - 4fb)

Factor out f from the expression

So, we have the following representation

b²c²d³f⁴ - 4dfbc² = dc²f(b²d²f³ - 4b)

Factor out b from the expression

So, we have the following representation

b²c²d³f⁴ - 4dfbc² = bdc²f(bd²f³ - 4)

Hence, the expression is bdc²f(bd²f³ - 4)

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