y = 4/5 + square root x + 0.2 - 5x

Answers

Answer 1

Answer:

5

Step-by-step explanation:


Related Questions

Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"

12 ⋅ x − 4
x − 4 ⋅ 12
4(x − 12)
12(x − 4)

Answers

Answer:

[tex]12(x - 4)[/tex]

Step-by-step explanation:

The question says, "twelve times the difference of a number and four"

Let's start with the first number, which is twelve = 12. Moving on, we have times = ×, then the difference which is minus(-). A number is unknown, any aphabet can be used to represent the number, so, we represent with 'x', and then four = 4.

Arranging them, we have:

[tex]12 \times x - 4[/tex]

in algebraic equations, times is always represented by bracket. Therefore, our final answer is:

[tex]12(x - 4)[/tex]

I hope this helps.

The equation for the line of best fit for this situation is shown below.



Based on the line of best fit, complete the given statements.

The expected number of hot dogs sold when the temperature is 50° would be
hot dogs.

If the vendor sold 35 hot dogs, the temperature is expected to be
degrees.

Based on the line of best fit, for every 10-degree increase in temperature, she should sell
more hot dogs.

Answers

The expected number of hot dogs sold when the temperature is 50° would be 23 hot dogs, If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees.

Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

The question is incomplete.

The complete question is:

A hot dog vendor at the zoo recorded the average temperature in degrees, x, and the average number of hot dogs she sold, y.

The equation for the line of best fit for this situation is shown below.

[tex]\rm y=\dfrac{3}{10}x+8[/tex]

Based on the line of best fit, complete the given statements.

The expected number of hot dogs sold when the temperature is 50° would be___hot dogs.If the vendor sold 35 hot dogs, the temperature is expected to be ___degrees.Based on the line of best fit, for every 10-degree increase in temperature, she should sell____more hot dogs.

We have a line of best fits:

[tex]\rm y=\dfrac{3}{10}x+8[/tex]


Plug x = 50 in the line of best fit.

y = (3/10)50 + 8

y = 15+8

y = 23

Plug y = 35

35 = (3/10)x + 8

27 = (3/10)x

x = 90 degree

Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

Thus, the expected number of hot dogs sold when the temperature is 50° would be 23 hot dogs, If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees, and based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

find the value of the hypotenuse for each of the following right triangles.

Answers

Answer:

I have done the 1st 2 sums in proper systematic manner. The remaining sums I'll be writing only the main formula and substitution. I hope you will write the missing sentences .

Step-by-step explanation:

Hope you will understand the sums.

.Also I would appreciate it if you could marke my answer as BRAINLIEST and THANK ME.。◕‿◕。

Answer:

Step-by-step explanation:

1. hypotenuse = 89

2. hypotenuse = 85

3. hypotenuse = 97

4. hypotenuse = 153

5. hypotenuse = 34

6. hypotenuse = 113

7. hypotenuse = 916

8. hypotenuse = 170

9. hypotenuse = 394

10. hypotenuse = 61

ξ = {x:x is an integer, 2 ≤ x ≤ 14}
� = {x:x is a prime number}
� = {x:x is a multiple of 3}
Given that C ⊂ A, n(C)=3 and B ∩ C = ∅, list the members of a possible set C

Answers

The members of a possible set C are {6, 9, 12}

Set theory

The universal set is the set that contains all other sets. Given the following sets

ξ = {x:x is an integer, 2 ≤ x ≤ 14}

B = {x:x is a prime number}

A = {x:x is a multiple of 3}

The sets B and A are:

B = {2, 3, 5, 7, 11}

A = {3, 6, 9, 12}


If C is a subset of A with a cardinality of 3, hence the required set will be {6, 9, 12}. Note that 3 is excluded since B n C must be an empty set.

Learn more on set here: https://brainly.com/question/2166579

#SPJ1

rewrite the equation y-8=2 into slope form

Answers

Answer:

y=2x+16 is the slope intercept form

Step-by-step explanation:

sorry if its wrong tried!!!

Pls answer quickly, make sure to answer all parts
Find the area of the region bounded by the line y =3x -6 and line y=-2x+8 and
a) the x-axis. b) the y-axis. c) the line y=6. d) the line x=5.

Answers

The area of the region bounded by the line y =3x -6 and line y=-2x+8 is  12/5 units

How to find the area?

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

2x = 8

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

Learn more about area on:

https://brainly.com/question/25292087

#SPJ1

if cp=rs 400, loss=10% find sp

Answers

Answer:

cp = rs 400

loss = 10%

Then SP = 400 - 10% of 400

= 400 - 40

= 360

Therefore SP = Rs. 360

can i charge my hp laptop more than 1000 times

Answers

Yes…………………………………..kdkdksks

Answer: Yes.

Step-by-step explanation: However, charging your battery to high voltages except for the first time can significantly decrease your battery's lifespan. According to some studies charging a battery to only 85% to 90% can improve its discharge cycle from 300 to even an extra 1000 recharges.

What does the ratio 6 to 8 represent in the situation?

Answers

Answer:

its 80

Step-by-step explanation:

the ratio is 80 hope this helps!

What data collection
used in face-to-face
or written questionnaires?
method is
interview
O A. survey
O B. observation
O C. experiment
O D. publication

Answers

Answer:

survey (A)

A questionnaire (or someone asking questions) is considered to be a survey. It is "surveying" someone's opinion on data.

hope this helps!!

An asset has a cost of $50,000, with a residual value of $10,000. It has a life of 5 years and was purchased on January 1. Under double-declining-balance, what’s the asset’s fourth full year of depreciation expense?

Answers

The asset’s fourth full year of depreciation expense will be $6,666.67.

What is double-declining-balance?

An enhanced technique for recording loss over the lifetime of a product by adjusting the item's starting sales price by a discount factor.

An asset has a cost of $50,000, with a residual value of $10,000.

It has a life of 5 years and was purchased on January 1.

Then the asset’s fourth full year of depreciation expense will be

Annual depreciation = (cost – salvage value)/ useful life

Annual depreciation = (50000 – 10000) / 5 = $8,000

Year 1 Depreciation (for 10 months, from March to December) = $8,000 × 10/12 = $6,666.67.

More about the double-declining-balance link is given below.

https://brainly.com/question/24296752

#SPJ1

Which statements about the system are true? Select two options.
y=-x-4
3y - x = -7
O The system has one solution.
O The system consists of parallel lines.
O Both lines have the same slope.
Both lines have the same y-intercept.
The equations represent the same line.

Answers

The system of equation has one solution

How to determine the true statements?

The equations are given as:

y = -x - 4

3y -x = -7

Rewrite the first equation as:

y + x = -4

Add y + x = -4 to the second equation to eliminate x

4y = -11

Divide by 4

y = -11/4

Substitute y = -11/4 in y + x = -4

-11/4 + x = -4

Make x the subject

x = -4 + 11/4

Evaluate

x = -5/4

The above means that the system of equation has one solution

Read more about system of equations at:

https://brainly.com/question/14323743

#SPJ1

Option A and B. The system has one solution and the system consists of parallel lines.

Slope of the lines

The slope of the lines is calculated as follows;

y = -x - 4

slope = - 1

3y - x = -7

3y = x - 7

y = x/3 - 7/3

slope = 1/3

Solution of the equations

y = -x - 4   ----(1)

3y - x = -7  ----(2)

solve (1) and (2)

3(-x - 4) - x = -7

-3x -12 - x = -7

-4x = 5

x = -5/4

y = -5/4 - 4

y = -5.25

Thus, the system has one solution and the system consists of parallel lines.

Learn more about parallel lines here: https://brainly.com/question/24607467
#SPJ1

SHL T Teleperformance
each interaction matters
Choose the correct option.
You arrived at your office at 9:35 AM. You left your office at 6:05 PM. How many hours did
spend in the office?

Answers

Answer:

8 hours 30 minutes

Step-by-step explanation:

6:05 pm - 9:35 am =

= 18:05 - 9:35

= 17:65 - 9:35

= 8:30

Answer:

Citcitdutditdutdtuditditdtiditf this is what is adjective 6hftuiouhvcutxyrzyt

Step-by-step explanation:

huuugggguytzurzt8st8s8ts9td96097g79t8dtrudutfitf8tfitftid8tdtdtudutd

look at the picture

thank you ​

Answers

The correct answer to this question is the first option

On May 6, Jim Ryan borrowed $14,000 from Lane Bank at 712% interest. Jim plans to repay the loan on March 11. Assume the loan is on ordinary interest. How much will Jim repay on March 11?

Answers

The amount to be repaid by Jim Ryan is $14,891.78.

Given that, Principal (P) =$14,000, the rate of interest (R) =7[tex]\frac{1}{2}[/tex]% and T=310 days.

What is ordinary interest?

Ordinary interest is calculated on the basis of a 360-day year or a 30-day month; exact interest is calculated on a 365-day year.

Now, the interest=14,000×7.5 %×[tex]\frac{310}{365}[/tex].

=$891.78

The amount to be repaid=14,000+891.78=$14,891.78

Therefore, the amount to be repaid by Jim Ryan is $14,891.78.

To learn more about ordinary interest visit:

https://brainly.com/question/15289356.

#SPJ1

Express the radical using the imaginary unit, i sqrt{-27}

Answers

Answer:

27i

Step-by-step explanation:

Since we define i as [tex]\sqrt{-1}[/tex], [tex]\sqrt{-27} = 27i[/tex]

Answer:

Step-by-step explanation:

i [tex]i \sqrt{-27} =i\sqrt{-1 \times 27} =i\sqrt{27i^2} =i \times i\sqrt{27} =i^2\sqrt{9 \times 3} \\=-1\times 3\sqrt{3} \\=-3\sqrt{3}[/tex]

Classify the triangle as acute, right, or obtuse and classify it as equilateral, isosceles, or scalene 97degree

Answers

Answer:

Obtuse and the rest of the question is incomplete.

Step-by-step explanation:

Help please I will do anything

Answers

Answer:

? = 12

Step-by-step explanation:

[tex]\frac{7}{12} +\frac{10}{12} =\frac{7+10}{12} =\frac{17}{12}[/tex]

[tex]\frac{17}{12} =\frac{12}{12} +\frac{5}{12} =1+\frac{5}{12} =1\frac{5}{12}[/tex]

Hope this helps

On a coordinate plane, an absolute value graph has a vertex at (10, 6).
The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing?

(–∞, 6)
(–∞, 10)
(6, ∞)
(10, ∞)

Answers

Answer: (10, ∞)

Step-by-step explanation:

See the graph in the attached image.

What is the domain of the function
f(x) = [tex]\sqrt{1/3 x + 2}[/tex]

Answers

The domain of the function is:

D: {x ∈ R | x ≥ -6}

How to get the domain of the function?

Here we have:

[tex]f(x) = \sqrt{(1/3)*x + 2}[/tex]

Remember that the argument of a square root can be only numbers equal to or larger than zero, so the domain of that function is such that:

[tex](1/3)*x + 2 \geq 0[/tex]

Now we can solve that for x.

[tex](1/3)*x + 2 \geq 0\\(1/3)*x \geq -2\\\\x \geq -2*(3/1)\\\\x \geq -6[/tex]

So the domain of the function is:

D: {x ∈ R | x ≥ -6}

If you want to learn more about domains:

https://brainly.com/question/1770447

#SPJ1

Answer:

The domain of the function is:

D: {x ∈ R | x ≥ -6}

HELP DUE SOON A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed.

A parallelogram with a height of 6 yards and side length 9 yards. The height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. Rhombus is split into a soy half and a corn half.

Each bag of soil covers 20 square yards. How many bags should the farmer purchase?

Answers

The farmer should purchase 2 bags of soil for his farm.

What is Area of parallelogram?

A parallelogram is a two-dimensional figure with four sides. It is a special case of the quadrilateral, where opposite sides are equal and parallel. The area of a parallelogram is the space enclosed within its four sides. Area is equal to the product of length and height of the parallelogram.

The shape of the farm, according to the picture is a parallelogram. Therefore, the total area can be calculated as follows:

Area = base X height

where

b = base

h = height

base = 6.5 + 2.5 = 9.0 yards

height = 6 yards

Area = 6 × 9 = 54 square yards.

40 square yards requires 1 bag of soil .

54 square yards will require ?

Bags required = 54 / 40 = 1.35 bag

Thus, the farmer will require 2 bags of soil for his farm.  

Learn more on area here:

brainly.com/question/21695513

#SPJ1

Solve for x:

5(1 – x) = 20

x = __

Answers

[tex]5(1-x)=20\\5-5x=20\\5x=-15\\x=-3[/tex]

Hii!

__________________________________________________________

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}}}\circ\leftharpoonup[/tex]

The value of x is -3! ^^

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}}}\circ\leftharpoonup[/tex]

[tex]\bullet[/tex] First multiply 5 times 1 and -x

[tex]\twoheadrightarrow\sf 5(1-x)=20[/tex]

[tex]\twoheadrightarrow\sf 5-5x=20[/tex]

[tex]\bullet[/tex] Now subtract 5 from both sides

[tex]\twoheadrightarrow\sf -5x=15[/tex]

[tex]\bullet[/tex] Now divide both sides by -5

[tex]\twoheadrightarrow\sf x=-3[/tex]

--

Hope that this helped! Best wishes.

--

Please I need help on Fundametal Trigonometric Identities?

Answers

Fundamental Trigonometric Identities are listed below:

[tex]sin^{2}[/tex]Θ + [tex]cos^{2}[/tex]Θ = 1[tex]sec^{2}[/tex]Θ - [tex]tan^{2}[/tex]Θ = 1[tex]cosec^{2}[/tex]Θ - [tex]cot^{2}[/tex]Θ = 1sinΘ  =   1 / cosec Θ cos Θ  = 1 / sec Θ tan Θ  =  1 / cot Θ tan Θ  =  sinΘ / cosΘ cotΘ   =  cosΘ / sinΘ

Meaning of Fundamental Trigonometric Identities

Fundamental Trigonometric Identities can be defined as the basic identities or variables that can be used to proffer solutions to any problem relating to angles and trigonometry.

In conclusion, A few Fundamental Trigonometric Identities are listed above.

Learn more about Fundamental Trigonometric Identities: https://brainly.com/question/7331447

#SPJ1

Prove that C(50,3) + C(50,4) = C(51,4)

Answers

By definition of the binomial coefficient,

[tex]C(n,k) = \dfrac{n!}{k!(n-k)!}[/tex]

so we have

[tex]C(50,3) + C(50,4) = \dfrac{50!}{3!47!} + \dfrac{50!}{4!46!} \\\\ = \dfrac{50!}{3!46!} \left(\dfrac1{47} + \dfrac14\right) \\\\ = \dfrac{50!}{3!46!} \times \dfrac{51}{188} \\\\ = \dfrac{51!}{3!46!} \times \dfrac1{4\times47} \\\\ = \dfrac{51!}{4!47!} \\\\ = \dfrac{51!}{4!(51-4)!} = C(51,4)[/tex]

as required.

I have a quick geometry question! Thank you!

Answers

Answer:

e4fodor8rsidididi2f2

Answer:

9

Step-by-step explanation:

3:4

AB:12

cross multiply giving

3×12:4AB

36: 4AB

divide both sides by 4,thus

AB=9

Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k > 0.


Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.
Write a paragraph proof to show that the area of Rectangle 2 is times the area of Rectangle 1.

Answers

Answer:

Perimeter of rectangle2 =  k × perimeter of rectangle 1

area of rectangle 2  =   × area of rectangle 1

Step-by-step explanation:

rectangle 1 :

Length x

Width y

perimeter1  =  2×(x + y)

area1  = x × y

……………………

•• rectangle 2 :

Length kx

Width ky

Perimeter2  =  2×(Kx + ky)

area2  = kx × ky

……………………………………………

therefore,

Perimeter of rectangle 2

= 2×(Kx + ky)

= 2×k×(x + y)

= k×2×(x + y)

= k × perimeter of rectangle 1

On the other hand,

area of rectangle 2

= Kx × ky

= k×k×(x × y)

= k²×(x × y)

= k² × area of rectangle 1

Sam wants to measure the height of a tree. She walks 100 feet from the base of the tree and looks up. The angle of elevation from the ground to the top of the tree is 33°. How tall is the tree? Round your answer to the nearest hundredth.

Answers

The height of the tree from which Sam is standing 100 feet away from the base is 64.94 feet.

What is angle of elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight.

To calculate the height of the tree , we use the formula below.

Formula:

tan∅ = H/B.............Equation 1

Where:

∅ = Angle of elevation from the ground to the top of the treeH = Height of the treeB = Distance of the base of the tree to the point where Sam looks up

From the question,

Given:

∅ = 33°B = 100 feet

Substitute these values into equation 1 and solve for H

tan33° = H/100H = tan33°×100H = 64.94 feet

Hence, the height of the tree is 64.94 feet.

Learn more about angle of elevation here: https://brainly.com/question/27243378

#SPJ1

Simplify the following expression.

(4x + 7)2

Answers

Answer:

=8x+14 or

=16x²+56x+49

[tex]\bf{(4x+7)2 }[/tex]

[tex]\bf{=2(4x+7)}[/tex]

[tex]\boldsymbol{Put \ the \ parentheses \ used \ \ :a(ab+c)=ab+ac. }[/tex]

[tex]\boldsymbol{2(4x+7)=2\cdot4x+2\cdot7 }[/tex]

[tex]\bf{=2\cdot 4x+2\cdot7}[/tex]

[tex]\boldsymbol{Simplify \ 2\cdot 4x+2\cdot7}[/tex]

Multiply 2 x 4 = 8Multiply 2 x 7 = 14

[tex]\boldsymbol{8x+14 \ \ \to \ \ \ Answer }[/tex]

Pisces04

Question 10: Each tablet in a bottle of 30 costs the pharmacy $4.60. The pharmacy has additional costs including supplies and shipping of $1.40 per pill. If a 12% profit is desired, how much would the pharmacy charge for entire bottle?

Answers

The pharmacy must charge for $201.6 for the entire bottle.

Profit is the financial gain to the seller after selling some commodity

Revenue is the total sale of the seller after selling some commodity

Expenses is the expenditure to the seller before selling the commodity

Profit = Revenue - Expenses

Cost of the tablet = $4.60

Total cost of the bottle=$4.60x30

                                       =$138

Additional cost=$1.40 x 30

                          = $42

Total expenses=$180

Profit %=125

Revenue= $180 x (1+12/100)

              =$180 x (112/100)

               =$201.6

Therefore, The pharmacy must charge for $201.6 for the entire bottle for a profit of 12%

Learn more about profit and loss,

https://brainly.com/question/21637154

#SPJ10

Which expression is equivalent to...​

Answers

Answer:

first option

Step-by-step explanation:

[tex]\frac{(2g^5)^3}{(4h^2)^3}\\= \frac{8g^1^5}{64h^6} \\= \frac{g^1^5}{8h^6}[/tex]

Answer: A) g^15 / 8h^6

Step-by-Step Solution:

= (2g^5)^3 / (4h^2)^3
= 8g^15 / 64h^6
=> g^15 / 8h^6
Other Questions
On January 1, Ramirez Supply leased a car for a four-year period, at which time possession of the car will revert back to the lessor. Annual lease payments are $14,100 due on December 31 of each year, calculated by the lessor using a 10% discount rate. Negotiations led to Ramirez guaranteeing the lessor a $42,300 residual value at the end of the lease term although Ramirez estimates that the residual value after four years will be $40,200. What is the amount to be added to the right-of-use asset and lease payable under the residual value guarantee what is equivalent to 7/5y what was the first money crop?1. corn2. cotton3. rice4. tobacco Which of the following was not part of the court system in the Republic of Texas? 55. The Cone Problem Begin with a circular piece of paper with4-in. radius as shown in (a). Cut out a sector with an arc length ox. Join the two edges of the remaining portion to form a conewith radius r and height h, as shown in (b).4 in.4 in.(a)(b)(a) Explain why the circumference of the base of the cone is8T X(b) Express the radius r as a function of x.(c) Express the height has a function of x.(d) Express the volume V of the cone as a function of x.pls helpppp Which of the following best replaces the underlined word in the sentence? The unsuspecting gazelle fell prey to thelion.a. victimb. predatorc.weakd.none of the above *HELP**NEEDS IT RIGHT NOW*Without using a calculator, match each expression to the correct point. General Motors had long-running problems with Chevy Cobalt ignition switches. The switches could disable the emergency airbags, causing accidental deaths. The GM culture discouraged anyone from stepping up and addressing the problem. Mary Barra, the new CEO, made a public commitment to change. After an investigation, two senior managers left the company in 2014. By ________, GM was better able to move forward. Describe the similarity between the life cycle of an animal, like a dog, and the life cycle of an insect that goes through incomplete metamorphosis, like a grasshopper.A Both types of living things reproduce before they are an adult.B Both types of living things hatch from eggs outside of the mother.C Both types of living things molt their exoskeleton when they become an adult.D Both types of living things show similar features as the adult even when they are young. A passenger jet plane cruises at 550 knots. It enters a jet stream with a tailwind speed of 120 knots. If the speed of sound is 661 knots, will the jet travel faster or slower than sound during its journey? !!HELP PLS!! a triangle has side lengths measuring 3x cm 6xcm and h cm which expression describes the possible values of h in cm? 4x < h < 10x, 10x < h < 4x, h=4x, h=10x La tercera persona de nuestra APUSH chapter 2: How did the colonies differ in the early states of exploration? What does the information demonstrate about alexs investments? what are the roots of the polynomial below. x^3-3x^2+2 In what way does ocean water move globally?A. Along warm-water currents from warmer regions to colder regionsB. Along cold-water currents from the equator to the PolesC. Along cold-water currents from warmer regions to colder regionsD. Along longshore currents from the equator to the Poles. Find an explicit formula for the arithmetic sequence -11, -3, 5, 13, ....Note: the first term should be b(1).b(n) = Which work has the most suspense created by dramatic irony? Why was there no revolution in England? The velocity is ___ when the distance is kept the same and the time is halved