Part AType an equation to represent the cost of the topsoil.Part BHow does the cost of the topsoil compare to the cost of the mulch?

Part AType An Equation To Represent The Cost Of The Topsoil.Part BHow Does The Cost Of The Topsoil Compare

Answers

Answer 1

Step 1

Write the equation of a line in slope point form

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Where;

[tex]\begin{gathered} y_2=\text{ 60} \\ x_2=2 \\ y_1=\text{ 30} \\ x_1=\text{ 1} \end{gathered}[/tex]

Step 2

Find the equation to represent the cost of the topsoil.

[tex]y-30=\frac{60-30}{2-1}(x-1)[/tex][tex]\begin{gathered} y-30\text{ = }\frac{30}{1}(x-1) \\ y-30=30x-30 \\ y=30x-30+30 \\ y=30x \end{gathered}[/tex]

The equation that represents the cost of the topsoil is

y=30x

Step 3

Find how the cost of the topsoil compares to the cost of the mulch.

[tex]\begin{gathered} \text{The equation for the cost of the mulch y, in dollars is} \\ y=25x \\ \text{for x cubic yards of mulch} \\ \text{The equation for the cost of topsoil, y in dollars is} \\ y=30x \\ for\text{ x cubic yards of topsoil} \end{gathered}[/tex][tex]undefined[/tex]


Related Questions

I need help with these asap

1) What is the equation of the line through the points (1,1), (5,4), (9,7), and (13,10)

A) y = 4/3 x + 1/3
B) y = 4/3 x - 1/3
C) y = 3/4 x + 1/4
D) y = 3/4 x - 1/4

2) Image

Answers

1st question (the image):

y= -5/4x + 3/2

how to solve:

y=mx+b

b: where the line meets the y axis

3/2 is 1.5 which matches up perfectly with the graph

m: the direction of the slope

If you look where the line matches with a point and you go down -5 and go right 4 it matches up and thats why m = -5/4

2nd question (the text):

C) y = 3/4 x + 1/4

how to solve

draw a graph (up above)

y:mx+b

to find m: rise/run

find the first point (1,1) you have to go 3 points up and 4 points right to get to the next point

(5,4) and thats why m=3/4

b: where the link hits the y axis compare the answers and the graph and find the most resonable one... which is 1/4

A public storage company charges new customers an initial fee of $35.00. Each month of storage costs $18.75. The company uses the formula T = 35.00 + 18.75m to calculate the total charges, where T is the total charges, and m is the number of months of storage. How many months of storage would cost a new customer $260.00?

Answers

Answer:

12 months

Explanation:

Given the function that models the total chacrge of a company as T = 35.00 + 18.75m where;

T is the total charges,

m is the number of months of storage

Given

T = $260.00

we are to find the value of m

Substitute

260 = 35 + 18.75m

18.75m = 260 - 35

18.75m = 225

m = 225/18.75

m = 12

Hence it will take 12 months to cost a new custimer $260.00

What is (3 x 10^7) (3 x 10^8)?

Answers

[tex] = 3 \times 3 \times {10}^{7} \times 10^{8} \\ = 9 \times {10}^{7 + 8} \\ = 9 \times {10}^{15} \\ [/tex]

NOTE YOU CAN WRITE IT IN FULL BUT I CHOSE NOT TO BECAUSE IT'S LARGE .

GOODLUCK

Use the order of operations to find the value of the expression.12÷2*3-(7-5)O A.0O B.6O C.16O D.19

Answers

Given:

given expression is

[tex]12\div2\ast3-(7-5)[/tex]

Find:

The main objective is to evaluate the expression.

Explanation:

we will use BoDMAS formula for evaluating the expression.

[tex]\begin{gathered} 12\div2\ast3-(7-5)=12\div2\ast3-2 \\ =6\ast3-2 \\ =18-2 \\ =16 \end{gathered}[/tex]

Conclusion:

Therefore, correct option is C.16

3.21. a causal lti system has the following system function:(2(a) what is the roc for h(z)? (b) determine if the system is stable or not. (e) determine the difference equation that is satisfied by the input x[n) and the output yin. (d) use a partial fraction expansion to determine the impulse response h[n].

Answers

The ROC essentially specifies the parameters under which the system's impulse response, h(n), will converge.

What is meant by the roc for h(z)?

When applying the z-transform on the sequence h, the ROC concept is applied to the function H(z) (n). The ROC essentially specifies the parameters under which the system's impulse response, h(n), will converge. Neither X(z), the input, nor Y(z), the output, are involved in the ROC.

The region (regions) where the z-transform converges is known as the region of convergence (ROC). We can uniquely determine the inverse z-transform thanks to ROC. Let's first think about some examples. The unit sample δ(n)has z-transform 1 , hence ROC exists all the z plane .

The Registrar of Companies assigns the company registration number, or CIN number as it is known in India (ROC). The Ministry of Corporate Affairs oversees the ROC, which is present in several Indian states. It is utilized to locate the essential information for every firm that is registered in India.

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Evaluate the given expression.
10 C4 4C2
a.
1,260
C.
1,275
b.
1,278
d.
1,270

Answers

The value of an expression using combinations  ¹⁰C₄ ⁴C₂ is 1260.

What is the combination?The combination is a mathematical method for counting the number of potential configurations in a set of elements when the order of the selection is irrelevant.

The formula for finding the combination of any given expression is given:

ⁿCr =(n!)/(r!(n*r)!)

So,

¹⁰C₄ ⁴C₂¹⁰C₄ = 10! /(4!(10-4)!)¹⁰C₄ = 10! /(4!)*6!¹⁰C₄ = (10*9*8*7*6*5*4*3*2*1)/(4*3*2*1*6*5*4*3*2*1)¹⁰C₄ = 210

Then,

4C2 = 4! /(2!(4-2)!)4C2 = 4*3*2*1) /(2*1*2*1)4C2  = 6¹⁰C₄ ⁴C₂ = 210*6 ¹⁰C₄ ⁴C₂ =1260

Therefore, the value of an expression using combinations  ¹⁰C₄ ⁴C₂ is 1260.

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7+3(p-1)=64 how to solve

Answers

Answer:

p = 20

Step-by-step explanation:

7 + 3(p - 1) = 64 ( subtract 7 from both sides )

3(p - 1) = 57 ( divide both sides by 3 )

p - 1 = 19 ( add 1 to both sides )

p = 20

For a diving event, the highest and the lowest of seven scores are discarded. Next, the total of the remaining scores is multiplied by the degree of difficulty of the dive. That value is then multiplied by 0.6 to determine the final score. Find the final score for the dive.

A drawing of a score board of the event, 3-meter springboard. It shows the scores of the 7 judges as Judge 1, 80; judge 2, 75; judge 3, 90; judge 4, 70; judge 5, 80; judge 6, 85; judge 7, 75. The difficulty level is marked as 3.1.

Answers

Answer: 734.7

Step-by-step explanation:

We get rid of 90 and 70 since they are the highest and lowest scores.

80+75+80+85+75 = 395

395 * 3.1 = 1224.5

1224.5*0.6 = 734.7

Dog food comes in two different sized bags. The 40 lb bag sells for $24 while the 10 lb
bag sells for $7. Which is cheaper and by how much? (compare unit rates)

Answers

Answer:

The 40 lb bag is cheaper by $4

Step-by-step explanation:

10 x 4 = 40

7 x 4 = 28

If you bought the 10 lb bag 4 times, you'd spend more money than just buying the 40 lb bag once.

Please mark brainliest!!

Point T is located at (2, 5). Point A is located at (-3, 1.5). Point A is the midpoint of segment TB.

Point B is the midpoint of segment TY. What are the coordinates of point Y?

Answers

Using the midpoint, the coordinates of point Y in the line segment TY is (-18, -9).

How to use midpoint to find coordinates?

Point T is located at (2, 5). Point A is located at (-3, 1.5). Point A is the midpoint of segment TB.

Therefore, the mid point formula can be represented as follows:

(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Hence, let's find the coordinates of point B.

(-3, 1.5) = (2 + x₂ / 2 ,  5 + y₂ / 2)

2 + x₂ / 2  = - 3

cross multiply

2 + x₂ = -6

x₂ = -6 -2

x₂ = - 8

1.5 = 5 + y₂ / 2

3 = 5 + y₂

y₂ = 3 - 5

y₂ = -2

Therefore, the coordinates of B is (-8, -2)

Hence, let's find the coordinate of point Y. The coordinates of point B is the mid point of segment TY.

(-8, -2) = (2 + x₂ / 2 ,  5 + y₂ / 2)

(-8, -2) = (2 + x₂ / 2 ,  5 + y₂ / 2)

2 + x₂ / 2 = - 8

-16 = 2 + x₂

x₂ = -18

-2  =  5 + y₂ / 2

-4 = 5 + y₂

-4 - 5 = y₂

y₂ = -9

Therefore, the coordinates of y is (-18, -9)

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El precio de los boletos para un partido de fútbol es de $19 pesos. Si en total caben 26,472 personas en el estadio, calcula la cantidad aproximada de dinero que se obtiene de la venta de los boletos.

Answers

La ganancia aproximada del estadio por concepto de la venta de boletos para un partido de fútbol es $ 502,968.

¿Cuál es la ganancia neta aproximada por la venta de boletos?

En esta pregunta se nos solicita determinar la ganancia aproximada por la venta de boletos para un partido de fútbol en un estadio. La ganancia aproximada es igual al producto del aforo del estadio y el costo de cada boleto. Entonces,

c = ($ 19) · (26,472)

c = $ 502,968

La ganancia aproximada por el partido de fútbol es $ 502,968.

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8/13 x 3 =

SHOW YOUR WORKl

Answers

8 x 3 = 24
13 x 3 = 39
Answer: 24/39

8/13 x 3/1 = 24/13

24 - 13 =11

So, simplified answer is 1 11/13 or 24/13

Hope this helps!

PLEASE HELP ASAP GIVING 20

Answers

Answer:

I agree with your answer.

Step-by-step explanation:

A population grows according to an exponential growth model. The initial population is P0=9, and the growth rate isr=0.4.Then:P1 = P2 = Find an explicit formula for Pn. Your formula should involve NPn = Use your formula to find P9=Give all answers accurate to at least one decimal place

Answers

Answer:

From the question,

[tex]\begin{gathered} P_0=9 \\ r=0.4 \end{gathered}[/tex]

The formula for the growth rate will be calculated using the formula below

[tex]\begin{gathered} F=P(1+r)^n \\ F=\text{future value} \\ P=present\text{ value} \\ r=\text{growth rate} \\ n=nu\text{mber of times per period} \end{gathered}[/tex]

In,

[tex]\begin{gathered} P_0,n=0 \\ P_1,n=1 \\ P_2,n=2 \\ P_9,n=9 \end{gathered}[/tex]

Given that

[tex]\begin{gathered} P_0=9 \\ F=P(1+r)^n \\ P_0=9(1+0.4)^0 \\ P_0=9\times1 \\ P_0=9 \end{gathered}[/tex][tex]\begin{gathered} F=P(1+r)^n \\ P_1=9(1+0.4)^1 \\ P_1=9\times1.4 \\ P_1=12.6 \end{gathered}[/tex]

Hence,

P1 = 12.6

Also, we will have P2 to be

[tex]\begin{gathered} F=P(1+r)^n \\ P_2=9(1+0.4)^2 \\ P_2=9\times1.4^2 \\ P_2=17.64 \\ P_2\approx1\text{ decimal place} \\ P_2=17.6 \end{gathered}[/tex]

Hence,

P2 = 17.6

Therefore,

The formula for Pn will be represented below as

[tex]\begin{gathered} P_n=9(1+0.4)^n \\ P_n=9(1.4)^n \end{gathered}[/tex]

The explicit formula for Pn will be

[tex]P_n=9(1.4)^n[/tex]

To figure out the values of P9. we will substitute the value of n=9 in the equation below

[tex]\begin{gathered} P_n=9(1.4)^n \\ P_9=9(1.4)^9 \\ P_9=185.9 \end{gathered}[/tex]

Hence,

P9 = 185.9

The cost of entering a carnival and riding rides is given by the linear equation, c(r) = 1.25r + 6.00, where c(r) is the total cost of attending the carnival and r is the number of rides. the slope of the linear equation represents the response area .

Answers

Answer: Cost per rides

Step-by-step explanation:

A ball, dropped vertically falls d metres in t seconds
d is directly proportional to the square of t
The ball drops 125 metres in the first 5 seconds
How far does the ball drop in nthe next 9 seconds?

Answers

The distance covered in the next 9 seconds is 405 meters

How to determine the distance covered

The variation statement is given as

d is directly proportional to the square of t

This means that

d = kt²

Where k represents the constant of variation

Using the parameters in the question, we have

When d = 125, t = 5

Substitute d = 125, t = 5 in d = kt²

This gives

125 = k x 5²

Evaluate

k = 5

So, we have

d = 5t²

After 9 seconds, we have

t = 9

Substitute t = 9 in d = 5t²

Here, we have

d = 5 x 9²

This gives

d = 405

Hence, the distance is 405 meters

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the length and width of a rectangle are consecutive integers. the area of the rectangle is 210 square meters. find the length and width of the rectangle

Answers

The length and the width of the rectangle are 14 and 15 meters, respectively

How to determine the dimension of the rectangle?

From the question, the statement is given as

Length and width are consecutive integers

Where

Area = 210 square feet

Represent the dimensions with x and y

Where Length = x and Width = y

And also, we have

y = x + 1

The area of a rectangle is

Area = Length x width

Mathematically, this can be represented as

Area = x * y

So, we have

x * y = 210

Substitute y = x + 1 in x * y = 210

x * (x + 1) = 210

Express 210 as 14 * 15

x * (x + 1) = 14 * 15

This means that

x = 14

Substitute x = 14 in y = x + 1

y = 14 + 1

Evaluate

y = 15

So, we have

x = 14 and y = 15

Hence, the length and the width are 14 and 15 meters

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Please help ASAP starting to fall behind! This equation really confuses me and if someone could help that would be amazing!

Given the function:

f(x) = x² - 4x - 2

Find the following values.
a) f(2)
f(2)=

b) f(4)
f(4)=

c) f(-3)
f(-3)=

Answers

f(2) = 2^2 - 4*2 - 2 = 4 - 8 - 2 = -6

f(4) = 4^2 - 4*4 - 2 = 16 - 16 - 2 = -2

f(-3) = (-3)^2 - 4*-3 - 2 = 9 + 12 - 2 = 19

Given f(x) = -x - 2, find f(-6).

Answers

Answer:

f( -6) = 4

Step-by-step explanation:

f(x) = -x -2  You will replace x with -6

f(-6) - -(-6) -2

f(-6) = 6 - 2

f(-6) = 4

Avery is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The labor and materials cost $100 for each phone manufactured, and the total cost of producing 3 phones in a day would be $600. Write an equation for C, in terms of p, representing total cost, in dollars, of producing pp phones in a given day.

Answers

If Avery is in the business of manufacturing phones. The equation for C, in terms of p, representing total cost, in dollars, of producing pp phones in a given day is: 100p + 300.

Determining the equation for total cost

Given data:

Labor and materials cost = $100

Numbers of phones = 3

Total cost = $600

Where,

P = Total cost

The equation for C in terms of p is:

100p + 300

Now let determine the total cost

Total cost = $600 + ( 3 × $100)

Total cost = $600 $300

Total cost =$600

Therefore 100p + 300 is the equation.

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P(x) = -0.3x² + 75x - 2000, where x represents the selling price.

1. At what price should the stands be sold to earn the maximum profit?

2. According to the function given, what is the maximum profit that the company can make?

3. What are the break-even points (the selling prices for which the profit is 0)? Give the answer to the nearest cent.​

Answers

Answer:

Below in bold.

Step-by-step explanation:

P(x) = -0.3x² + 75x - 2000

Convert this to vertex form:

p(x) = -0.3(x^2 - 250)^2 - 2000

      = -0.3[(x - 125)^2 - 125^2] - 2000

      = -0.3[(x - 125)^2 - 15625] - 2000

      = -0.3(x - 125)^2 + 4687.5 - 2000

      = -0.3(x - 125)^2 + 2687.5

2687.5 is the maximum value of the profit.

1.  This corresponds to a selling price of $125 for the stands.

2.  Maximum profit is $2687.5.

3.  At the breaking points P(x) = 0:

-0.3(x - 125)^2 + 2687.5 = 0

(x - 125)^2 = 2687.5 / -0.3 = 8958.33

x - 125 = +/- sqrt( 8958.33)

x = 125 +/- sqrt( 8958.33)

x = 30.352, 219.648,

So, the breaking even points are $30.35 and $219.65 to nearest cent.

the vertex of the function shown below is located at?

Answers

Given the graph of the parabola

AS shown in the figure

The coordinate of the vertex is the point (2.5, 2.25)

so, the answer will be:

the vertex of the function shown below is located at (2.5, 2.25)

There are 4,000 books in the town's library. of these, 2600 are fiction. write a percent equation that you can use to find the percentage of books that are fiction. then solve your equation.

Answers

The percent equation is = 2600/ 4000 × 100/1

The percentage of books that are fiction is 65%

What is percentage?

Percentage can be described as the ratio, quotient or number that is being expressed as a fraction of 100.

It is also described as the given part or amount in every hundred.

It is expressed as a fraction with 100 as the denominator of the fraction

It is represented with the symbol "%".

Given the information ;

Total number = 4000 books

Fiction books = 2600

The percentage is represented as;

= 2600/ 4000 × 100/1

Find the ratio

= 0. 65 × 100/1

Multiply through

= 65%

Hence,  the value is 65%

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A way to write a fraction as an equivalent fraction that contains no common factors is _________ form.

Answers

Answer:

simplest form.

Step-by-step explanation:

find angle x giving your answer to one decimal place

Answers

⇒I will use the trig ratios to find the value x.

[tex]\frac{sin(x)}{11cm}=\frac{sin( 38)}{8} \\[/tex]

⇒Moving on solving I will use the cross multiplication

[tex]8sin(x)=11sin(38)\\sin(x)=\frac{11sin(38)}{8} \\x=sin^{-1} (\frac{11sin(38)}{8} )\\x=57,8[/tex]

∴ x=57,8°

Goodluck!!

A ball is thrown straight down from the top of a 300-ft building with an initial velocity of -12 ft per second.
The position function is s(t) = -16t² +vot+so. What is the velocity of the ball after 4 seconds?

Answers

No you won’t take me from my fart friends

Answer:

Below in bold.

Step-by-step explanation:

s(t) = -16t² - 12t + 300

v(t) = ds/ dt = -32t - 12

At time t:

velocity = -32(4) - 12 = -140 ft/s.

   

 

HELPPppppp PLS AOUHF

Answers

As per the given three coordinate of the triangle, the area of the triangle is 9.5 square units.

Area of triangle:

In the triangle ABC as with vertices or coordinates are A(x1, y1), B(x2, y2), and C(x3, y3), has the area,

Area(ΔABC) = (1/2){x1(y2 − y3) + x2(y3 − y1) + x3(y1 − y2)}

As the area is always positive.

Given,

Here we have the triangle VWX,

And their coordinates are V (-9,-7), W(-4,-5), and X(-6,-2).

Now we have to find the area of the triangle.

To find the area of the triangle, let us consider the coordinates (x1,y1) as v(-9,-7), (x2,y2) as W(-4,-5) and (x3,y3) as X(-6,-2).

Now, we have to apply the values on the formula, in order to get the area of the triangle,

=> A = 1/2 |(-9 [-5-(-2)] + (-4)[-2 - (-7)] + (-6)[-7 - (-5)]|

When we expand the terms, then we get,

=> A = 1/2 |(-9)[-3] + (-4)[5] + (-6)[-2]|

Further simplify the expression will gives you the following,

=> A = 1/2 |27 - 20 + 12|

=> A = 1/2 |19|

Therefore, the area of the triangle is 9.5 square units.

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An online furniture store sells chairs and tables. Each day, the store can ship no more than 19 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.

Answers

An inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint is (c + t) ≤ 19

In this question, we have been given the online furniture store can ship not more than 19 pieces of chairs and tables each day.

If the possible number of chairs they can ship each day is represented by c and the possible number of tables they can ship each day is represented by t, then the inequality equation can be written as

(c + t) ≤ 19

Therefore, an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint is (c + t) ≤ 19

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10m +6 < 76 or -6 - 10m s≤ -86

Answers

Answer:

m < 7 or m ≥ 8

Step-by-step explanation:

Given system

10m + 6 < 76 or- 6 - 10m ≤ - 86

Solve each  inequality:

10m + 6 < 7610m < 76 - 610m < 70m < 7

or

- 6 - 10m ≤ - 86- 10m ≤ - 86 + 6- 10m ≤ - 80m ≥ 8

The answer is: m < 7 or m ≥ 8

HELP ME PLEASE ASAP!!!

2. Use the space provide to respond to each statement concerning the given graph of a radical function.
a.) State the domain of the function.
b.) State the range of the function.
c.) Identify the end behavior of the function.
d.) Identify the y – intercept. Write as an ordered pair.
e.) Explain how you know this function is increasing?

Answers

Part a

The domain is the set of x-values, which is [tex](-\infty, \infty)[/tex].

Part b

The range is the set of y-values, which is [tex](-\infty, \infty)[/tex].

Part c

As [tex]x \to \infty[/tex], [tex]y \to \infty[/tex], and as [tex]x \to -\infty[/tex], [tex]y \to -\infty[/tex].

Part d

The y-intercept is when x=0, which is [tex](0, 1)[/tex].

Part e

The function is increasing when y increases as x increases, which is true for this function.

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