HELP!!!
A builder of tract homes reduced the price of a model by 20​%. If the new price is 280,000 what was its original​ price? How much can be saved by purchasing the​ model?

Answer:

Step-by-step explanation:

The elevation and distance from the centerline for point P are determined. The elevation is X feet, and the distance from the centerline is Y feet.

To determine the elevation and distance from the centerline for point P, we need more specific information or measurements related to the scenario you are referring to, such as a map, coordinates, or additional data. Without these details, it is not possible to provide an accurate answer.

Typically, to find the elevation of a point, we would rely on elevation contours or a digital elevation model (DEM) that provides information about the terrain's height at various locations. By identifying the coordinates or location of point P on the map, we could reference the elevation values associated with that specific point.

Similarly, to calculate the distance from the centerline, we would require information about the reference line or centerline, such as its coordinates or position relative to point P. With this information, we could determine the perpendicular distance from the centerline to point P.

In conclusion, without specific details or measurements, it is not possible to generate a precise answer regarding the elevation and distance from the centerline for point P.

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Answer:

10,000

Step-by-step explanation:

100 x 100 = 10,000

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:you add the nmer than you divid them so when you divd them you answer is right there

B is the assertion that captures the final behavior of the function f(x) = 3|x 7| 7. As x moves closer to zero, f(x) moves closer to positive infinity.

An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate

From the question,

\(f(x) = 3|x − 7| − 7\\when x = -101\\then, f(x) = 3|-101 − 7| − 7\\f(x) = 3|-108| − 7\\\)

f(x) = 3 × 108 − 7

f(x) = 324 -7

\(f(x) = 317\\Also, when x = -3000\\then, f(x) = 3|-3000- 7| - 7\\f(x) = 3|-3007| - 7\\f(x) = 3 × 3007 - 7\\\)

f(x) = 9021 - 7

f(x) = 9014

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she is 17 m away from her starting point as "stacey is standing in a field. she walks 11 meters west, 30 meters north, 4 meters west and finally 22 meters south".

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending point. The size or extent of the displacement between two positions is referred to as distance. Keep in mind that the distance between two positions and the distance traveled between them are not the same. The length of the entire path taken to get from one position to another is the distance traveled. Travel distance is not a vector. Distance is the length of a path, independent of the starting or stopping point or the direction of travel, that an object follows.

Here,

Let's say Stacey starts at point (0,0)

She walks 11 meters west to (-11,0)

She walks 30 meters north to (-11,30)

She walks 4 meters west to (-15, 30)

Finally she walks 22 meters south to (-15, 8)

d=√((-15)²+8²)

d=17 m

She has traveled 17 meters from her starting point "In a field, Stacey is presently. She moves 4 meters west, then 11 meters west, before moving 22 meters south ". 

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The maximum rate of change of f at the point (0, 5) is 15.

To find the maximum rate of change of f(x, y) = 3sin(xy) at the point (0, 5), we need to calculate the gradient of the function and evaluate it at that point.

The gradient of a function represents the direction of steepest ascent, and its magnitude gives the rate of change. The gradient vector is given by:

∇f(x, y) = (∂f/∂x, ∂f/∂y)

Taking the partial derivatives of f(x, y) with respect to x and y:

∂f/∂x = 3y cos(xy)

∂f/∂y = 3x cos(xy)

Evaluating these partial derivatives at the point (0, 5):

∂f/∂x = 3(5) cos(05) = 15

∂f/∂y = 3(0) cos(05) = 0

The maximum rate of change occurs in the direction of the gradient vector. Therefore, the direction of maximum rate of change can be represented by the unit vector in the direction of the gradient vector:

u = (∂f/∂x, ∂f/∂y) / |∇f(x, y)|

|∇f(x, y)| represents the magnitude of the gradient vector, which can be calculated as:

|∇f(x, y)| = √( (∂f/∂x)^2 + (∂f/∂y)^2 )

Substituting the values:

|∇f(x, y)| = √( (15)^2 + (0)^2 ) = 15

Therefore, the unit vector representing the direction of maximum rate of change is:

u = (∂f/∂x, ∂f/∂y) / |∇f(x, y)|

= (15/15, 0/15)

= (1, 0)

Hence, the direction of maximum rate of change is in the x-axis direction (horizontal direction) at the point (0, 5).

Regarding the maximum rate of change, we can calculate it by evaluating the magnitude of the gradient vector at the point (0, 5):

|∇f(x, y)| = 15

Therefore, the maximum rate of change of f at the point (0, 5) is 15.

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The missing lengths  in the triangles are h = 3/2√2 and b = 4√3

Triangle a and b

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

A special right triangle

For a right triangle with an angle of 45 degrees

The measure of the leg is

h = Hypotenuse/√2

So, we have

h = 3/√2

Evaluate

h = 3/2√2

For the other triangle, we have

sin(60) = b/6

So, we have

b = 6/sin(60)

Evaluate

b = 4√3

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Answer:

See below

Step-by-step explanation:

Let the number of Payday be p and Baby Ruth be b

Then sub of the candy bars:

1. Required equations:

2. Solving by substitution:

p = 220 - b, consider it in the second equation

60 Baby Ruth candy bars sold

Answer:x=1/y+5

Step-by-step explanation:This equals x =

Answer:

5

Step-by-step explanation:

Answer:

Answer:

(6,-7)

Step-by-step explanation:

The equation for reflecting an image about the origin is (a,b) to (-a,-b). It means you make x and y their opposites.

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

hope it helps have a nice day

The lateral area of the given cone is 13.5π cm².

What is the lateral area of a cone?

The lateral area of a cone is the total area of the curved surface of the cone, excluding the area of the circular base. It is the area of the lateral or side surface of the cone.

The formula for the lateral area of a cone is LA = πrℓ, where r is the radius of the base of the cone, and ℓ is the slant height of the cone.

To find the lateral area of a cone, we use the formula LA = πrℓ, where r is the radius of the base of the cone, and ℓ is the slant height.

Given that the slant height ℓ = 15 cm and the radius of the base r = 9 mm = 0.9 cm.

Therefore, the lateral area LA = πrℓ = π(0.9)(15) = 13.5π cm² (rounded to one decimal place)

Hence, the lateral area of the given cone is 13.5π cm².

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Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:

There is a relationship between Deforestation and Global Climate Change.

Step-by-step explanation:

Deforestation is a cause of global climate change.

Answer:

(-3 ÷ 4)x^2 + 6x

Step-by-step explanation:

Data mentioned in the question

Maximum height = 12m

Number of seconds = 8

Height = 3m

Depend on the above information, the quadratic equation is shown below:

As it took 8 seconds to hit the maximum altitude and it reverted to the ground floor, this graph also reflects the motion in parabola after 4 seconds, so that the a must be negative

Now it is given that

a × x ^ 2 + bx + c =0

We can considered that

x = 0

x = 8

As {0.8} are intercepts of x

When x = 0, then it is

a × 0 ^ 2 + b(0)  + c = 0 .................... (i)

Hence 0 = 0

Now x = 8, it is

a × 8 ^ 2 + b(8)  + c = 0

Hence a(8)^2 + b(8) + c =  0 ..................(ii)

As it can be seen that in the first equation c must be zero

Whereas the second equation is

64a + 8b = 0

i.e.

8a = -b or a = -b ÷ 8

Now according to the quadratic function, it presented

(-b ÷8)x^2 + bx + 0

So, the parabola vertex is (4, 12)

Now place this in the place of a

(-b ÷ 8)(4)^2 + b(4) = 12

And for calculating this b, all terms must be multiplied by 8

That appears

-b(16) + 32b = 96

16b = 96

So, b = 6.  

As a = -b ÷8

a = -6 ÷ 8

a = -3 ÷4

So, the equation is

= (-3 ÷ 4)x^2 + 6x

Hence, this is the equation

Answer: 14

Step-by-step explanation:

1 4/1 is 4 because 1 times 4/1 is 4

1 and 5/2 is basically 3.5 and

4 times 3.5 is 14

Answer:14

Step-by-step explanation:

1 4/1 is 4 because 1 times 4/1 is 4

1 and 5/2 is basically 3.5 and

4 times 3.5 is 14

Answer:

D.

Step-by-step explanation:

Okay, so 8:15 to 12:00 is 225 minutes, or 3.75 hours

12:45 to 17:30 is 285 minutes, or 4.75 hours

3.75 + 4.75 = 8.5 hours (total)

She earns 14.50 dollars per hour

8.5 * 14.5 = 123.25 dollars

D.

Answer:

The answers is D: 8.5 hours x $14.50 = $123.25

Step-by-step explanation:

This employee worked a total of 8.5 hours on Monday (3.75 hours in the morning and 4.75 hours in the afternoon).

Then, you have to multiply the total amount of hours worked by the number of dollars paid per hour.

8.5 hours x $14.50 = $123.25

The equation of the function is: H = 4t + 10.

The y-intercept of the function is 10, which is the height of the plant when Liam initially bought it.

To write the equation of a function, first, find the slope (m) = rise / run. You can pick any two points on the line to find the slope. Next, find the y-intercept (b) which is the point where the line intercepts the vertical axis of the graph.

Find the slope using the two points from the given graph, (5, 30) and (10, 50):

Slope (m) = change in H / change in t = (50 - 30) / (10 - 5) = 20/5

m = 4

The y-intercept is b = 10 [in this context, it is the height of the plant when Liam initially bought it]

To write the equation of the function, substitute m = 4 and b = 10 into H = mt + b:

H = 4t + 10

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Use the Chinese remainder theorem.

Start with x = 3×5 + 2×7 = 15 + 14 = 29. Now,

• 29 ≡ 15 ≡ 1 (mod7)

• 29 ≡ 14 ≡ 4 (mod5)

Adjust for this by multiplying the first term in x by 3, and the second term by 3 (because 4×3 ≡ 12 ≡ 2 (mod5)).

So now x = 3×5×3 + 2×7×3 = 45 + 42 = 87, and

• 87 ≡ 45 ≡ 3 (mod7)

• 87 ≡ 42 ≡ 2 (mod5)

The CRT then says that x ≡ 87 (mod(7×5)) ≡ 87 (mod35), which is to say any number x = 87 + 35n satisfies both congruences (where n is any integer).

So there are 3 possible 2-digit numbers that work: {17, 52, 87}.

To confirm:

• 17 ≡ 15 + 2 ≡ 2 (mod5) and 17 ≡ 14 + 3 ≡ 3 (mod7)

• 52 ≡ 50 + 2 ≡ 2 (mod5) and 52 ≡ 49 + 3 ≡ 3 (mod7)

• 87 ≡ 85 + 2 ≡ 2 (mod5) and 87 ≡ 84 + 3 ≡ 3 (mod7)

Answer:

1.89 inch²

Explanation:

\(\sf \boxed{\sf \dfrac{pq}{2} } \ \ \ where \ p \ and \ q \ are \ the \ diagonals \ of \ the \ kite\)

Here given:

Find the Area:

\(\rightarrow \sf \dfrac{2.7 \ x \ 1.4}{2} \ = \ 1.89 \ in^2\)

The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.

The tile's length is the longer side of a tile depending on the shape of the tile.

The length of the given tile is, 0.15 meter.

Length of the edge of he counter = 3 meters.

Number of tiles Hassan needs = 3/0.15

Number of tiles Hassan needs = 20 tiles.

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Answer: 20 tiles.

Step-by-step explanation:

The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.

What is a Tile's Length?

The tile's length is the longer side of a tile depending on the shape of the tile.

The length of the given tile is, 0.15 meter.

Length of the edge of he counter = 3 meters.

Number of tiles Hassan needs = 3/0.15

Number of tiles Hassan needs = 20 tiles.

A statement which is an example of deductive reasoning include the following: D. All of your friends love math. Jo is your friend; therefore, Jo loves math.

In Mathematics, inductive reasoning can be defined as a process that involves drawing and arriving at a general conclusion (conjecture), especially by critically observing a pattern that's based on a sequence or specific instances.

In Mathematics, deductive reasoning can be defined as a type of logical reasoning that typically involves drawing conclusions based on a given set of rules and conditions, or from one or more premises (factual statements) that are assumed to be generally (universally) true.

In this context, we can reasonably infer and logically deduce that the last statement or sentence "All of your friends love math. Jo is your friend; therefore, Jo loves math." is an example of deductive reasoning.

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The solutions to the quadratic equation x² = -7x - 8 are x equals  \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Given the quadratic equation in the question:

x² = -7x - 8

To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.

x² = -7x - 8

x² + 7x + 8 = 0

a = 1, b = 7 and c = 8

Plug these into the quadratic formula: ±

\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)

Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

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To make a linear expression equivalent to 3(-4d+1), the distributive property can be used. The resulting linear expression will have the same value as the given expression but may be written in a different form.

The distributive property states that for any real numbers a, b, and c, the expression a(b + c) is equivalent to ab + ac. Applying this property to the given expression, we can distribute the 3 to both terms inside the parentheses:

3(-4d + 1) = 3(-4d) + 3(1)

Multiplying each term separately, we get:

-12d + 3

The expression -12d + 3 is a linear expression that is equivalent to 3(-4d + 1). The distributive property allows us to distribute the coefficient 3 to each term inside the parentheses, resulting in an equivalent linear expression. The distributive property is a fundamental property in algebra that helps simplify expressions and perform operations efficiently.

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Answer:

x3

Step-by-step explanation:

Therefore, the average rate of change of the function \(f(x) = x^2 + 1\) over the interval [-2, -1] is -3.

To find the average rate of change of the function f(x) = x^2 + 1 over the interval [-2, -1], we need to calculate the difference in the function values divided by the difference in the corresponding x-values.

Let's evaluate the function at the endpoints of the interval:

\(f(-2) = (-2)^2 + 1\)

= 4 + 1

= 5

\(f(-1) = (-1)^2 + 1\)

= 1 + 1

= 2

Now we can calculate the average rate of change:

Average rate of change = (f(-1) - f(-2)) / (-1 - (-2))

= (2 - 5) / (-1 + 2)

= -3 / 1

= -3

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To calculate the mean, standard deviation, and variance for a binomial variable, we need the values of n and p.

The mean (or expected value) of a binomial variable is given by the formula mean = n * p. The standard deviation is calculated using the formula standard deviation = sqrt(n * p * (1 - p)), and the variance is equal to (n * p * (1 - p)). Now, let's calculate the mean, standard deviation, and variance for the given values of n and p:
Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p)


Substitute the values of n and p into the formulas: Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p)
Calculate the values:
Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p) Remember to replace n and p with their respective values in each calculation.

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