NEED HELP ASAP!!!!!!! Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(275)?

A. Houses sell on the market for an average of $275,000 and stay on the market an average of 275 days before being sold
B. Houses sell for an average of $275,000.
C. f(275) indicates houses stay on the market an average of 275 days before being sold.
D. f(275) represents the average number of days houses stay on the market before being sold for $275,000.

The model predicts that the population of the inner-city area will be 107,079 people in 7 years

The number of inhabitants in a given region is characterized as the quantity of individuals normally living around there, estimated on 1 January in a given year.

The given model for the number of inhabitants in the rough part of town region is:

P(t) = 108,000 - 0.011t

where t is the number of years from the present and P(t) is the estimated population at time t.

To find the predicted population in 7 years, we can substitute t=7 into the given model and evaluate:

P(7) = 108,000 - 0.011(7)

P(7) = 108,000 - 0.077

P(7) = 107,923

As a result, the model projects that the inner-city area will have a population of 107,079 people in seven years, rounded to the nearest person.

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The equation of the line in slope-intercept form is:

y = 4x + 9

The slope-intercept form of the equation of a line is:

y = mx + b

where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

In this case, we know that the line passes through the point (-4, -7) and has a slope of 4. So, we can plug in the values of x, y, and m into the slope-intercept form and solve for b:

-7 = 4(-4) + b

Simplifying the right side:

-7 = -16 + b

Adding 16 to both sides:

9 = b

So the y-intercept is 9. Therefore, the equation of the line in slope-intercept form is:

y = 4x + 9

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The equation to calculate the cost of her shoes without shipping included is: x = 55.25

Let x be the cost of Carly's shoes.

The problem states that the total cost of her purchase (including shoes and shipping) is $60.75, so we can set up the equation:

x + 5.50 = 60.75

To find the cost of her shoes without shipping, we need to isolate x. We can do this by subtracting 5.50 from both sides:

x + 5.50 - 5.50 = 60.75 - 5.50

Simplifying:

x = 55.25

Therefore, the equation to calculate the cost of her shoes without shipping included is: x = 55.25

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We know that with the new piece of data for the month of June the median is increased by 3.5 which is now 251.5.

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.

It could be referred to as "the middle" value for a data set.

A data set's median value is the point where 50% of the data points have values that are lower or equal to it, and 50% of the data points have values that are higher or equal to it.

Arrange in ascending order:

229 234 248 255 263

When, odd terms are there then the middle term is the median:

Median: 248

New Median:

229 234 248 255 263 597

When there are even terms we will add the middle two terms and divide it by 2 as follows:

248+255/2

Median: 251.5

Median change: 251.5 - 248 = 3.5

Therefore, we know that with the new piece of data for the month of June the median is increased by 3.5 which is now 251.5.

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Answer:

Answer:

12 ounces

Step-by-step explanation:

Let x = Small Mug

& y = Large Mug

Then we write the given statement in an equation form as below:

2x + 1y = 20 ounces of coffee ---------------> EQUATION 1

3y - 1x = 32 ounces of coffee ----------------> EQUATION 2

Let us solve the above equation for y;

Multiply Equation 2 by '2', we get;

-2x + 6y = 64 ----------------------> Equation 3

Add Equation 1 and Equation 3, we get;

(2x + y) + (-2x + 6y) = 64 + 20

7y = 84

Divide the above equation by 7, we get;

y = 84 / 7

or, y = 12

Hence, One Large mug can hold 12 ounces of coffee.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Parallel lines would never intersect no matter how long the lines go on for because they have the same slope. That will always be true.

Answer:

[tex]\huge\boxed{\sf Yes.}[/tex]

Step-by-step explanation:

In a right angled triangle, the longest side is called hypotenuse.

So,

Hypotenuse = 13 m

The rest are:

Base = 5 m

Perpendicular = 12 m

Using Pythagoras Theorem to verify:

[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]

Put the given data

(13)² = (12)² + (5)²

169 = 144 + 25

Since, both left hand side and right hand side are equal, this means the triangle is a right-angled triangle.

[tex]\rule[225]{225}{2}[/tex]

Answer: no answer

Step-by-step explanation:

The depreciation schedule for this truck using the declining-balance method at twice the straight-line rate are $24,000, $33,600, $39.744, $43,502 and $45,248

To create the depreciation schedule, we'll start with the cost of the asset and subtract the depreciation for each year. The depreciation for each year is calculated by multiplying the declining-balance rate by the book value of the asset at the beginning of the year.

The book value is simply the cost of the asset minus the accumulated depreciation. So in year 1, the book value is $30,000, and the depreciation is $8,000 (the declining-balance rate) times $30,000, which is $24,000. This means that the accumulated depreciation at the end of year 1 is $24,000.

To calculate the book value at the end of year 1, we simply subtract the accumulated depreciation ($24,000) from the cost of the asset ($30,000), which gives us $6,000.

=> $30000 - $6000 = $24000

This process is continued for the next five years that can be illustrated through the table.

Year Cost Depreciation Accumulated Depreciation Book Value

1        30,000 24,000                     24,000                      6,000

2           6,000 9,600                      33,600                       -3,600

3         -3,600 6,144                       39,744                      -9,744

4         -9,744 3,758                       43,502                      -13,502

5          -13,502 1,746                       45,248                       -15,248

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Therefore , the solution of the given problem of expressions comes out to be points X(-2,4), Y(-4,4), and Z(4,2) would be X'(-2,4), Y'(-3,-1), and Z'(0,3).

Instead of using random estimates, shifting variable numbers should be employed instead, which can be growing, diminishing, or blocking. They could only help one another by transferring items like tools, knowledge, or solutions to issues. The explanations, components, or mathematical justifications for strategies like expanded argumentation, debunking, and blending may be included in the explanation of the reality equation.

Here,

Figure XYZ will be scaled down by 1/4, with the centres being X(-2,4), Y(-4,4), and Z(4,2)

=>  Old_x - Center_x - Scale_factor * New_x + Center_x

=>  Scale factor * (Old y - Centre y) + Centre y = New y

Regarding X:

=>  New_x = 1/4 * (-2 - (-2)) + (-2) = -2

=>  New_y = 1/4 * (4 - 4) + 4 = 4

Therefore, X'(-2,4) is the image of point X after dilation.

Regarding Y:

=>  New_x = 1/4 * (-4 - (-2)) + (-2) = -3

=>  New_y = 1/4 * (-4 - 4) + 4 = -1

Therefore, Y'(-3,-1) is the image of point Y following dilation.

Regarding Z:

=> New_x = 1/4 * (4 - (-2)) + (-2) = 0

=> New_y = 1/4 * (2 - 4) + 4 = 3

Therefore, Z'(0,3) is the image of point Z after dilation.

As a result, the image points for the dilated figure XYZ with the centre points X(-2,4), Y(-4,4), and Z(4,2) would be X'(-2,4), Y'(-3,-1), and Z'(0,3).

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(a) The vertex is (6, 144),(b) When the fireworks are launched at time x = 0 and return to the earth at time x = 12 seconds, respectively, these times are denoted by zeros in the function,.(c) this is the quadratic function that represents the situation f(x) = -4 + 144.

a. To find the zeros and vertex of the quadratic function, we need to first write it in the standard form:

[tex]f(x) = ax^2 + bx + c[/tex]

where a, b, and c are constants.

The vertex of the function is given by:

x = -b/2a

Since the quadratic function is symmetrical around the vertex, we know that the time it takes to reach the maximum height is halfway between the launch time and the time it hits the ground again. So, the time to reach maximum height is (4 + 8)/2 = 6 seconds.

Therefore, we can set up a system of equations using the information given:

f(4) = 0 (the firework is launched from the ground)

f(6) = 256 (the firework reaches its maximum height)

f(12) = 0 (the firework hits the ground again)

Plugging in the values of x and f(x), we get:

16a + 4b + c = 0

36a + 6b + c = 256

144a + 12b + c = 0

Solving this system of equations, we get:

a = -4

b = 48

c = 0

Therefore, the quadratic function that represents the situation is:

[tex]f(x) = -x^2 + 48x[/tex]

The zeros of the function can be found by setting f(x) = 0:

[tex]f(x) = -4x^2 + 48x[/tex]

0 = x(-4x + 48)

x = 0 (the firework is launched from the ground)

x = 12 (the firework hits the ground again)

The vertex can be found using the formula:

x = -b/2a = -48/(-8) = 6

So the vertex is (6, 144).

b. Using the zeros and vertex, we can sketch a graph of f(x):

The quadratic function's graph

Considering the function's primary characteristics in light of the circumstances:

The peak height of the fireworks, which occurs at x = 6 seconds and f(6) = 256 feet, is represented by the function's vertex.

The firework is at ground level at x = 0 (launch time) and x = 12 seconds (when it reaches the ground again), which are represented by zeros in the function.

The graph's form suggests that the firework rises before falling again, which is consistent with the scenario given.

c. The quadratic function that represents the situation is:

[tex]f(x) = -4x^2 + 48x[/tex]

This function can be simplified by factoring out -4:

[tex]f(x) = -4( x^2- 12x)[/tex]

Completing the square:

[tex]f(x) = -4( x^2- 12x + 36 - 36)[/tex]

[tex]f(x) = -4( (x^2-6)- 36)[/tex]

[tex]f(x) = -4(x^2-6) + 144[/tex]

This form of the function shows that the vertex is (6, 144), and that the maximum height is 144 feet.

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According to the informations,  there are 7 different ways a committee of six people can be selected from a group of seven candidates.

In this case, we must use the combination formula, which is expressed by:

Where n is the total number of items in the set, r is the number of items being selected, and ! denotes the factorial function, which means multiplying a number by all the positive integers less than it.

Therefore, from a group of 7 candidates, a committee of 6 people can be selected in 7 different ways using the combination formula. The formula for the combination of n objects taken r at a time is C(n,r) = n!/r!(n-r)!, where n is the total number of objects and r is the number of objects to be chosen. In this case, we have n = 7 and r = 6, so the formula gives us C(7,6) = 7!/6!(7-6)! = 7 ways.

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The values of x and y that satisfy the system of equations are x = 8 and y = 4.

To solve for the values of x and y in the system of equations:

x + y = 12

2x + 5y = 36

We can use the method of substitution. Solving the first equation for x, we get:

x = 12 - y

We can substitute this expression for x into the second equation and solve for y:

2(12 - y) + 5y = 36

24 - 2y + 5y = 36

3y = 12

y = 4

Now that we know y is 4, we can substitute this value back into the first equation and solve for x:

x + 4 = 12

x = 8

Therefore, the values of x and y that satisfy the system of equations are x = 8 and y = 4.

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The probability of being a male and derive from a group of employees were asked whether they drive or walk to work is equal to 0.27.

From the table representing the probabilities of a group of employees.

Employees divided into two groups,

One is male .

Second is female.

While going for work there are two ways .

Derive to walk.

Walk to work.

Different probabilities are as follow,

Male and derive 0.27

Male and walk = 0.27

Female and derive = 0.23

Female and walk = 0.23

The required probability of being a male and derive

= 0.27.

Therefore, the probability of derive and male is equal to 0.27.

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Answer: Hi! Read the explanation below:

Brainliest?

Step-by-step explanation:

Student 1 correctly started the proof.

To complete the proof using the law of sines, student 1 should use the fact that the sum of angles in a triangle is 180 degrees to obtain an expression for angle C, and then use the fact that the sum of the lengths of the opposite sides of an angle in a triangle is equal to the length of the third side to obtain an expression for side c in terms of sin(A) and sin(B).

Here's the complete proof:

Starting with Student 1's work:

bsin(A) = h

asin(B) = h

Using the fact that the sum of angles in a triangle is 180 degrees:

C = 180 - A - B

Using the fact that the sum of the lengths of the opposite sides of an angle in a triangle is equal to the length of the third side:

a/sin(A) = b/sin(B) = c/sin(C)

Substituting in the expressions for c and sin(C) in terms of sin(A) and sin(B):

a/sin(A) = b/sin(B) = 2h/(sin(A)+sin(B))

Simplifying:

a = 2hsin(A)/(sin(A)+sin(B))

b = 2hsin(B)/(sin(A)+sin(B))

c = 2hsin(C)/(sin(A)+sin(B)) = 2hsin(180-A-B)/(sin(A)+sin(B)) = 2h*sin(A+B)/(sin(A)+sin(B))

Therefore, the law of sines is:

a/sin(A) = b/sin(B) = c/sin(C) = 2h/(sin(A)+sin(B))

Answer:

The party opposed to expanding slavery in the United States was the Republican Party. It was actually formed to go against slavery.  

3. The value of the function (f+g)(x) is option A: 3x+5. 4. The value of: (f·g)(x) is Option C: 2x² + 10x.

The function that results from summing the results of the two functions for a specific input value x is known as the sum of two functions (f+g)(x). To put it another way, we just add the function values at each x-axis point. The function that results from multiplying the outputs of the two functions for an input value x is known as the product of two functions (fg)(x). In other words, we multiply the values of the function at each x-axis position. Two functions can be combined or multiplied to create new functions, each of which has a unique set of attributes.

Given that, f(x)=x+5 and g(x)=2x.

3. The value of (f+g)(x) is:

f(x + g) (x)= f(x) + g(x) = (x+5) + 2x = 3x+5

4. The value of:

(f·g)(x) = f(x) · g(x) = (x+5) · 2x = 2x² + 10x

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Answer:

Part a 6 and 9

Step-by-step explanation:

Part B is 7.3 because u just find the sq root of 54 which can't go down the easiest is finding the decimal form

The quantity of ounce for each kind of food that will be used would be given as follows;

Food A= 2.18oz

For food A;

The calories in an Oz = 100 cal

Total calories in the whole food = 1100cal

The equivalent of cal that should be in 2400;

= X

That is;

100= 1100

X = 2400

Make X the subject of formula;

x= 100×2400/1100

X = 240000/1100

X = 218

if 1 Oz = 100 cal

X Oz = 218

X Oz = 218/100

= 2.18oz

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Answer:

x = 50

Step-by-step explanation:

2x = 60+40

simply 60 + 40 to 100

so 2x = 100

and then divide 2 to get it to the other side.

like this = x = 100/2

then divide 100 by 2 and get 50

so x=50

Answer:

Step-by-step explanation:

7.3 is the anwser

Answer:

just 2 outcomes

Step-by-step explanation:

no matter how often you throw it, there are only two sides available

Answer:

Option A, is 8x^6.

Step-by-step explanation:

4x³ × 2x³ = (4 × 2) x^(3+3) = 8x^6

Therefore, 4x³ × 2x³ simplifies to 8x^6.

You're welcome. :)

A) 8x⁶

Exponents have different rules for operations such as multiplication.

Multiplying Coefficients

When multiplying different terms with exponents, the first thing we should do is multiply the coefficients. Even though there are variables with different exponents, we still multiply the coefficients like normal. This means that the coefficient of the answer should be 8 because 4 * 2 =8. However, you should note that you can only multiply the coefficients and simply the expression if the terms have the same variable.

Multiplying Exponents

To multiply 2 terms with exponents, you should add the exponents together. For example, x⁴ * x⁶ = x¹⁰. No matter what the coefficients are, if the variables are the same, then this method will work. This means that x³ * x³ = x⁶. Then, combine this with the coefficient from before and 4x³ * 2x³ = 8x⁶.

Answer:

A- 304.8 cm²

Step-by-step explanation:

Find the area for the 4 sides (excluding both the top and base).

(2(12×7.5))+(2(12×5.2)) = 302.8

Answer:

A.  304.8 cm²

Step-by-step explanation:

The rectangular prism has a total of 6 rectangular sides

~   two at the bottom and top both of equal dimensions 5.2 x 7.5

~   two at the front and back both of equal dimensions 12 x 7.5

~    two one on the left side and the other on the right side both of equal dimensions 12 x 5.2

The question is asking only for the lateral surface area. This means we ignore the top and bottom surfaces

For each of the other two pairs of rectangles, the surface area is nothing but the product of the dimensions for each rectangle

Therefore area of all the 4 rectangles is
2(5.2 x 7.5 + 12 x 5.2)

We multiply by 2 since there are 2 of each rectangular surface

2(5.2 x 7.5 + 12 x 5.2) = 304.8 cm²   ANSWER

Answer:

10y + 17

Step-by-step explanation:

1) (given): 3(6y+5) — 2(4y — 1)

2) (distributive property): 18y + 15 - 8y + 2

3) (combine like terms): 10y + 17

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

Net income, considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

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Answer:

B is the correct answer

Step-by-step explanation:

The general form of the equation for a circle centered at the origin (0, 0) is x^2 + y^2 = r^2, where r is the radius of the circle. The radius can be calculated as the distance between the center O (0, 0) and point B (4, 5) on its circumference using the distance formula: r = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((4 - 0)^2 + (5 - 0)^2) = sqrt(16 + 25) = sqrt(41). Therefore, the equation for the given circle centered at O (0, 0) is x^2 + y^2 = 41. The correct answer is B. x^2 + y^2 − 41 = 0.

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

The statement for regions A, B, C are "Elements in P but not in Q." "Elements in both P and Q." and "Elements in Q but not in P." respectively

The descriptions of the regions A, B and C from the Venn Diagram that complete the question are as follows:

Region A:

This region represents the set of elements that belong only to P, but not to Q i.e. A is the set of elements that are in P but not in Q.

Region B:

This region represents the set of elements that belong to both circle P and circle Q. i.e. B is the intersection of sets P and Q.

Region C:

This region represents the set of elements that belong only to circle Q, but not to circle P. i.e. C is the set of elements that are in Q but not in P.

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