6. A landscaping company is trying to create a formula to predict the amount of time, t, required to mow a yard based on the area of the yard, A, the speed of the mower, v, and the width of the mower, w. One employee suggests a formula of t = 1.15 * A/(vw) Does this formula make sense? Explain .

Answers

Answer 1

Answer:

The formula makes sense

Step-by-step explanation:

For illustration purposes, we will assume the yard is a rectangle ( such assumption does not in any way invalid the arguments that follows

Dimensions of the yard

L = 10 m

w = 4 m

A = 40 m²

Arguments:

1.- The required time (t)  is proportional to the area (A). That means ( keeping all parameters fixed but Area ) we need more time to mow a bigger area yard. Then  t ∝ A

You can see that if the yard is 40 m²  you will take let´s say 0,5 day and you will need more time if the area is 100 m² ( it seems obvious )

2.- Let´s now assume the width of the mower is 1 m if you move along the length you will need to go forward and backward  4 times. Now think about a mower of 4 m ( it does not matter if that machine exists or no, is just a mental experiment) in that case you only need one pass, then the required time is inversely proportional to the width of the mower. That means a bigger width of the mower minor required time. Then t ∝ 1/w

3.-If now we keep the width of the mower but increased the speed of the machine we will reduce the working time. Time is an inversely proportional function of the speed of the machine since each required pass will take less time. Then  t ∝ 1/v

We have evaluated three parameters A, w, and v ( area, the width of the mower,  and speed ) and demonstrated the way each of these parameters influences the time, so far we don´t know how much each of them contributes  in the total output, for that we have to measure and get conclusions, Furthermore coefficient 1,15 (in formula seems to take into account the hole combinations of the factors)


Related Questions

What is the distance between each pair of points?

Answers

Answer:

The square root of 145.

Step-by-step explanation:

For this problem, make a right triangle between these two points. To solve for distance, use the Pythagorean formula. We know that one side is 8, and the other side is 9, so square 8 and 9 to get 64 plus 81. When you add these together, you get the square root of 145. You cannot further simplify the square root of 145, so that is the distance between the pair of points.

Answer:

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

Step-by-step explanation:

How many grams are in 32372 milligrams? Round your answer to the nearest tenth ( to one decimal point)

Answers

Answer:

Hey there!

The rule for converting milligrams to grams is dividing by 1000.

So, 32372 milligrams would be 32.372 grams.

Let me know if this helps :)

32.372 Grams is the asnwer

Distributive property of 1/2(8x+2)

Answers

Answer:

4x+1

Step-by-step explanation:

1/2 *(8x+2)=1/2*8x+1/2*2=4x+1

Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time he will use the Same amount of plant food as before how much plant food will he need

Answers

Answer:

3 7/12 kg

He doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time

Step-by-step explanation:

On sunday , sheldon bought 4 1/2 kg of plant food. He uses 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. b. Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will be need? Does he have enough left to do so.

Total plant bought = 4 1/2 kg

Strawberry = 1 2/3 kg

Tomato = 1/4 kg

Strawberry + tomato

= 1 2/3 + 1/4

= 5/3 + 1/4

= 20+3/12

= 23/12 kg

Total remaining after Sunday

= Total - used

= 4 1/2 - 23/12

= 9/2 - 23/12

= 54-23/12

= 31/12

= 2 7/12 kg

Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time.

Strawberry = 2 × 1 2/3

= 2 × 5/3

= 10/3 kg

Tomato = 1 × 1/4

= 1/4 kg

Total plant needed to feed strawberry two more times and tomato 1 more time

= 10/3 kg + 1/4 kg

= 40+3/12

= 43/12 kg

= 3 7/12 kg

He will need 3 7/12 kg of plant

He doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time

|x+2| > 3 solve the inequality

Answers

Answer:

-3< x + 2 > 3

-5 < x > 1

Is this correct?

simplify the equation
x+2=7x+3

Answers

Answer:

6x + 1

Step-by-step explanation:

Step 1:

x + 2 = 7x + 3

Step 2:

6x + 3 - 2

Answer:

6x + 1

Hope This Helps :)

The cube of a number is less than five times the square of the number. For what set of numbers is this true?
(-0,5)
(5.00)
(-0.0) U (0.5)

Answers

Answer:

[tex](-\infty,0)\cup (0,5)[/tex].

Step-by-step explanation:

Note: In the given options it should be negative infinity instead of -0 because -0 does not make any sense.

It is given that cube of a number is less than five times the square of the number.

Let the unknown number be x.

[tex]x^3<5x^2[/tex]

[tex]x^3-5x^2<0[/tex]

[tex]x^2(x-5)<0[/tex]

This is possible when both factors [tex]x^2\text{ and }(x-5)[/tex] have different sign.

We know that [tex]x^2[/tex] is always greater than or equal to 0. So,

[tex]x-5<0[/tex]

[tex]x<5[/tex]

[tex]x\in (-\infty,0)\cup (0,5)[/tex]

Because [tex]x^2(x-5)<0[/tex] is not true for x=0, so, 0 is not included in the solution set.

Therefore, the solution set is [tex](-\infty,0)\cup (0,5)[/tex].

Answer:

C

Step-by-step explanation:

Alexa programmed a website's checkout process with an equation to calculate the amount customers will be charged when they buy hair
ribbons. The website offers a discount. If one ribbon is bought at the full price of $5.75 then each additional ribbon is $3.50. State an
equation that represents the cost C, when r ribbons are downloaded,

Answers

Answer:

Hey there!

The equation would be C=3.50r+5.75

Let me know if this helps :)

Complete the division problem.
What is the remainder?
?
- 18x - 7
2x + 3
- 2x + 5
6x + 5

Answers

Answer: 6x+5 I did the test on edg

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

for edge

What is 2/5 divided 3/4

Answers

Answer:

8/15

Step-by-step explanation:

To divide by a fraction, change the division to a multiplication, and flip the fraction.

2/5 / 3/4 = 2/5 * 4/3 = 8/15

Write an algebraic expression to represent each verbal expression. 5 times the sum of a number and 1

Answers

Answer: 5(x+1)

Step-by-step explanation:

Let the number be x

Sum of number and 1 is x+1

5 times the sum is 5(x+1)

PLEASE HURRY I NEED HELP I TRIED FOUR DIFFERENT TIMES ON THIS EQUATION AND I DON'T UNDERSTAND WHAT TO DO (will give brainliest for best answer) image below

Answers

Answer:

The answer is 48a-6b-14

Step-by-step explantion:

simplify by combining liketerms:

-6- 2b•3 -6a+ 10a• 3-16÷ 2- 4 • -6a

-6-6b-6a+30a -8+24a

48a-6b-14

Good luck!

if it takes 24 minutes to walk 2 miles how long would it take to walk 6 miles

Answers

Step-by-step explanation:

24min= 2miles

? 6miles

it will be 6×24min÷2= 72minutes or 1hr 12min

what is the same as 4 tens and 13 ones?

Answers

Answer:

53 ones

Step-by-step explanation:

In 13 ones, there is 1 ten and 3 ones.

4 tens + 1 ten = 5 tens

5 tens = 50 ones

50 ones + 3 ones = 53 ones

perform the necessary questions -5 -(-3) + (-8)

Answers

the answer is 0 because -5 -(-3) equals 8 which cancels out when u add negative 8 :)

guys i need help pls​

Answers

-6/2

-3

subtract the top and divide

hope it helps

what is √330 simplified?

Answers

Answer:

18.16590212

Step-by-step explanation:

Sam has three bags of marbles. The first bag has three-hundred-seventy marbles. The second bag has four-hundred-twenty marbles. And the third bag has two-hundred-ten marbles.

Answers

Answer:

1000 is a good estimation

Step-by-step explanation:

All three numbers in the hundreds place add up to 1,100, but they want you to estimate not solve the problem.

4/5(v−7)=2 what is the answer to the math question

Answers

Answer:

v=19/2

Step-by-step explanation:

in fraction= v=9.5

Answer:

v = 9 1/2

Step-by-step explanation:

Sanji has a square room with a perimeter of 42.5 feet. If she wants to hang a curtain along one full side of the room, how long does the curtain need to be?

Answers

Answer:

The length of the curtain is 10.625 feet

Step-by-step explanation:

The length of the curtain to cover one side of the room depends on the shape of the room

Given a room shape of a square, we have;

Perimeter = 4 × Side length of the room

Length of the curtain = Side length of the room

Therefore;

Perimeter = 4 × Length of the curtain

42.5 feet = 4 × Length of the curtain

Length of the curtain = (42.5 feet)/4 = 10.625 feet

The length of the curtain = 10.625 feet.

find the inverse of the function f(x)=4x^3-7​

Answers

Answer:

f^-1(x)=³√[(x+7)÷4]

Step-by-step explanation:

f(x)=4x^3-7

y=4x^3-7

interchange 'y' with 'x'

x=4y^3-7

make y the subject

4y^3=x+7

divide by 4 both sides

y^3=(x+7)÷4

multiply by the cube root both sides

³√(y^3)=³√[(x+7)÷4]

y=³√[(x+7)÷4]

f^-1(x)=³√[(x+7)÷4]

A glide-reflection consists of what two type of transformation.

Answers

Answer:

reflection and translation

A line that divides a shape into two equal parts is called ​

Answers

the answer is line symmetry

Marnie’s charge for 4 1/2 hours of babysitting 

Answers

Answer:

$33.75

Step-by-step explanation:

Step 1:

$22.50 ÷ 3 = $7.50

Step 2:

$7.50 × 4.5 = $33.75

Answer:

$33.75

Hope This Helps :)

Rewrite 9•9 in exponential form

Answers

Answer:

I believe it's 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Is 10x-3=5(2x-4) +17 one solution , many solutions or no solutions

Answers

Answer:

Many solutions

Step-by-step explanation:

Answer: NO SOLUTION

Step-by-step explanation:

Evaluate the Piecewise Function for: f(2)

Answers

Answer:

f(2) = - 1

Step-by-step explanation:

Locate x = 2 on the x- axis, then go vertically down to the line. At this point read off the corresponding value for y on the y- axis, that is

f(2) = - 1

Evaluate.
(x + 4). 2 - x for x = 6
54
74
0
14

Answers

Answer: 74

Step-by-step explanation:

Substitute x=6 into the expression

(x+4) . 2^3 -6

Add the numbers

(6+4) . 2^3- 6

10 x 2^3 -6

Evaluate the power

10 x 2^3 -6

10 x 8-6

Multiply the numbers

10 x 8-6

80-6

Subtract the numbers

80-6

74

what is 4/6 × 3/8 ????

Answers

Answer:

its 0.25 or 1/4

Step-by-step explanation:

4/6 times 3/8 =

4          3

6          8

1           1

 times

2         2 =

1/4 or 0.25


A "centroid" is defined as the center of mass of an object, or shape. How might the midpoint formula be used to find the midpoint of a triangle?

Answers

Answer:

we can use centeroid formula of a triangle

that is (x1+x2+x3)/3

hope that helps : )

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