Suppose a railroad rail is 3 kilometers and it expands on a hot day by 12 centimeters in length. Approximately how many meters would the center of the rail rise above the​ ground

Answers

Answer 1

The center of the rail would rise approximately 0.06 meters above the ground.

The expansion of the railroad rail is given as 12 centimeters. To convert centimeters to meters, you divide by 100 since there are 100 centimeters in a meter.

So, the expansion in meters is  12/100 meters.

Now, the center of the rail would rise approximately half of this expansion because the rail expands equally on both sides. Therefore, the rise in the center of the rail above the ground would be

=1/2 × 12/ 100.

Let's calculate that:

Rise in the center= 1/2 × 12/100

​Rise in the center=6/100

Now, to express this fraction in decimal form, you divide the numerator by the denominator:

Rise in the center= 0.06

So, the center of the rail would rise approximately 0.06 meters above the ground.


Related Questions

whatt are some inportant rules to dividing and multipling positives and negitives.

Answers

Positive × Positive = Positive
3 × 2 = 6
m × n = mn

Positive × Negative = Negative
8 × -4 = -32
m × -n = -mn

Negative × Negative = Positive
-5 × -4 = 20
-m × -n = mn
(-x) × (-x) = x²

The same rules apply for division as multiplication.

What makes an irrational number irrational?

Answers

If written as a decimal, a irrational number would have an infinite amount of digits (note that this does not make it a irrational number). In addition (this DOES make it a irrational number), it cannot be equal to one integer divided by another.

Answer:

Step-by-step explanation:

A baseball team has home games on thursdaythursday and saturdaysaturday. the two games together earn ​$4285.004285.00 for the team. thursdaythursday​'s game generates ​$295.00295.00 less than saturdaysaturday​'s game. how much money was taken in at each​ game?

Answers

1,995 for each game.
1,995+1,995=3,990
3,990+295=4,285.00

How to get the B by itself

Answers

(a + b + c)/3 = A

(a + b + c)/3 x 3 = A x 3

a + b + c = A(3)

 a- a + b + c - c = A(3) - a - c

b = A(3) - a - c

hope this helps


( i dont know if the A is suppose to be there or not sorry)

I REALLY NEED THIS ONE IT'S MY LAST ONE.
Verify the identity. Justify each step.



please help and show your work.

Answers

[tex]\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)} \qquad % cosecant csc(\theta)=\cfrac{1}{sin(\theta)} \qquad % secant sec(\theta)=\cfrac{1}{cos(\theta)}\\\\ -------------------------------\\\\ \cfrac{sec(\theta )}{csc(\theta )-cot(\theta )}-\cfrac{sec(\theta )}{csc(\theta )+cot(\theta )}=2csc(\theta )\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{\frac{1}{cos(\theta )}}{\frac{1}{sin(\theta )}-\frac{cos(\theta )}{sin(\theta )}}-\cfrac{\frac{1}{cos(\theta )}}{\frac{1}{sin(\theta )}+\frac{cos(\theta )}{sin(\theta )}}\implies \cfrac{\frac{1}{cos(\theta )}}{\frac{1-cos(\theta )}{sin(\theta )}}-\cfrac{\frac{1}{cos(\theta )}}{\frac{1+cos(\theta )}{sin(\theta )}} \\\\\\ \cfrac{1}{cos(\theta )}\cdot \cfrac{sin(\theta )}{1-cos(\theta )}-\cfrac{1}{cos(\theta )}\cdot \cfrac{sin(\theta )}{1+cos(\theta )}[/tex]

[tex]\bf \cfrac{sin(\theta )}{cos(\theta )[1-cos(\theta )]}-\cfrac{sin(\theta )}{cos(\theta )[1+cos(\theta )]} \\\\\\ \cfrac{sin(\theta )[1+cos(\theta )]~-~sin(\theta )[1-cos(\theta )]}{cos(\theta )[1+cos(\theta )][1-cos(\theta )]} \\\\\\ \textit{notice that }[1+cos(\theta )][1-cos(\theta )]\textit{ is a difference of squares}[/tex]

[tex]\bf \cfrac{\underline{sin(\theta )}+sin(\theta )cos(\theta )\underline{-sin(\theta )}+sin(\theta )cos(\theta )}{cos(\theta )[1^2-cos^2(\theta )]} \\\\\\ \cfrac{2sin(\theta )cos(\theta )}{cos(\theta )[1^2-cos^2(\theta )]}\\\\ -------------------------------\\\\ \textit{recall that }sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\qquad thus\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{2sin(\theta )cos(\theta )}{cos(\theta )[sin^2(\theta )]}\implies \cfrac{2\underline{sin(\theta )cos(\theta )}}{\underline{cos(\theta )sin(\theta )} sin(\theta )}\implies \cfrac{2}{sin(\theta )} \\\\\\ 2\cdot \cfrac{1}{sin(\theta )}\implies 2\cdot csc(\theta )\implies 2csc(\theta )[/tex]

The gcf of 25 and 12 is 1.number with 1 as the gcf are called relatively prime.find another pair of numbers whose gcf is 1

Answers

Super easy. Pairs that have no common multiples. 3 and 7 , 5 and 16 , 31 and 2

The GCF of 25 and 12 is 1, which means they are relatively prime. Another example of a pair of relatively prime numbers is 8 and 15, as their only common divisor is 1.

The greatest common factor (GCF) of 25 and 12 is 1. Numbers that have a GCF of 1 are called relatively prime. Another pair of numbers whose GCF is 1 could be 8 and 15. To verify, we look for any common divisors. The divisors of 8 are 1, 2, 4, and 8 while the divisors of 15 are 1, 3, 5, and 15. The only common divisor is 1, which confirms they are relatively prime.

A ball is launched into the sky at 19.6 feet per second from a 58.8 meter tall building. The equation for the ball’s height, h, at time t seconds is h = -4.9t2 + 19.6t + 58.8 . When will the ball strike the ground?

Answers

A ball is launched into the sky at 19.6 feet per second from a 58.8 meter tall building. " 

Is that a typo, or a real mixture of units? 

The equation is only good if the launch speed is actually 19.6 m/s, so I'll assume that. 

It will strike the ground when the ball's height = 0 m !!! 

-4.9t² +19.6t + 58.8 = 0 

You can always use the "quadratic formula" if you want to, but ... 

This set of numbers is beloved by physics teachers everywhere. Everything divides by -4.9 

t² - 4t -12 = 0 

...and factorizes easily: 

(t + 2)(t - 6) 

So t = 6 or t = -2 Disregard the negative solution. 

The ball will strike the ground at t = 6 seconds

Simplify r^4st^7 / 5r^5st^3
Simplify 7x^3y^9z^4 /28x^8y^2
Simplify 3a^3b * 2a^2b^4 / a^10b^3c^2
Explain if you can thankyou!!

Answers

Cancel out common factors (subtract exponents of common bases) 
1) r^4st^7 / 5r^5st^3 = st^4 / 5r
2) 7x^3y^9z^4 /28x^8y^2 = y^7z^4 /4x^5
The last one you need to multiply the factors first (add exponents of common factors)
3) 3a^3b * 2a^2b^4 / a^10b^3c^2 = 6a^6b^5/a^10b^3c^2 = 6b^2/a^4c^2

Hope this helps, let me know if you need more explanation!

What is the measure of 1 (1 point) 45 60 120 125?

Answers

Answer:

120°

i finished the quiz and that what i got

and for the rest

1.b

2.d

3.a

4.c

and number 5 is the first answer that i wrote

Step-by-step explanation:

The endpoints of line segment RS are R(-2,-1), and S (2,3). Find the coordinates of the midpoint of line segment RS.

Answers

midpoint coordinates are  ( - 2 + 2) / 2 , (-1+3) / 2

                                         =      (0,1) Answer

What is the period of the function y=5/2 cos x/4?

Answers

8pi

...............................

Is an equation with an integer coefficient will always have an integer solution true or false?

Answers

An equation with an integer coefficient will always have an integer solution. Integers are whole numbers ( positive and negative and zero ). One example of equation:
4 x = 5  ( 4 is an integer coefficient )
x = 5 : 4 = 1.25 ( not an integer )
Answer:
This is false.

A fair coin is tossed 10 times. what is the probability of (a) five heads; (b) at least five heads?

Answers

The answer is b to this question

Answer:

Are these all of the options to pick from for this question? If so, then your answer would be A.) five heads.

Explanation:

PLATO

Express 9 - y2 as the product of two binomial factors

Answers

Binomial factors are where two factors are being added. For a²-b², it can be written as (a-b)*(a+b). Writing it out, we know that 9=3², so we can make it
 (3-y)(3+y)
[tex]9 - y^2[/tex] 

[tex]3^2-y^2[/tex] 

[tex](3+y)(3-y) [/tex]

A diver swims 5.875 feet up to the surface of the water. Which number represents the diver’s position in relation to the surface before swimming to the top?

Answers

Final answer:

In relation to the surface, before swimming up, the diver was -5.875 feet under the water. The negative sign implies that the diver was beneath the surface of the water.

Explanation:

The diver's position in relation to the surface before swimming to the top is represented by a negative number because swimming upwards implies moving in a positive direction. In this case, the diver was -5.875 feet from the surface before they started swimming up. This negative sign indicates that the diver was beneath the surface of the water.

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__________ will produce an irrational answer when added to , because __________.

Answers

Is there any options for this question?

the sum of 18 and the number of x in algebriac expression

Answers

18 + x. Sum is addition, difference is subtraction, product is multiplacation, and quotient is division. Hope this helps!

After working 80 hours at his job, Tyler earned a total of $1100. How much does Tyler earn per hour?

Answers

1100/80=13.75,the answer is 13.75.So Tyler earn 13.75
so this is just a simple division you take 1100 and you divide it bye 80
1100/80=13.75 
there ya have it Tyler makes $13.75 per hour

when ms. morley was three times as old as jennie, they were seven years younger than they are now. now Ms morkie is twice as old as jennie. how old are they?
Show your work

Answers

They are now 14 and 28 because 14 minus 7 is 7 and 28 minus 7 is 21.... 7 times 3 is 21 and 14 times 2 is 28
When you say ms.morkie, do you mean ms.morley? or are they 2 different people?

The sum of three consecutive even integers is 72. Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.

Which equation can be used to find the first integer?



3x + 72 = 2x + 6

2x + 64 = 72

3x = 2x + 6

3x + 6 = 72

Answers

3x+6=72 is the right one

The equation 3 x + 6 = 72 be used to find the first integer.

Option 4 is true.

Here,

The sum of three consecutive even integers is 72.

Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.

We have to find equation which can be used to find the first integer.

What is Integers?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

Now,

The sum of three consecutive even integers is 72.

So,

x + ( x + 2 ) + ( x+ 4 ) = 72

x + x + 2 + x+ 4 = 72

3x + 6 = 72

Hence, The equation 3 x + 6 = 72 be used to find the first integer.

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P(n) models the fundraiser's profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets.

P(n) = 70n-1500 

what is the price of a single ticket

Answers

P(n) = 70n - 1500....let me break this down for you

profit = revenue - expenses
so the revenue, what is made from selling tickets.....70n....where n represents the number of tickets....the 70 represents the cost of each ticket.

the 1500 is the expenses. So for them to make a profit, they would have to sell more then $ 1500 worth of tickets.

the price of a single ticket is $ 70 <==

The price of a single ticket is given by the expression [tex]\( \frac{70n - 1500}{n} \),[/tex] where n represents the number of tickets sold.

To find the price of a single ticket, we need to understand that the profit P(n) represents the income from ticket sales.

In the given equation [tex]\( P(n) = 70n - 1500 \)[/tex], n represents the number of tickets sold, and P(n) represents the profit from selling n tickets.

If we divide the total profit P(n) by the number of tickets n, we can find the price of a single ticket.

So, the price of a single ticket is given by:

[tex]\[ \text{Price of a single ticket} = \frac{P(n)}{n} \][/tex]

Substituting [tex]\( P(n) = 70n - 1500 \)[/tex], we get:

[tex]\[ \text{Price of a single ticket} = \frac{70n - 1500}{n} \][/tex]

Now, the price of a single ticket is dependent on the number of tickets sold, so we cannot determine a specific price without knowing the value of n. However, we can say that as the number of tickets sold increases, the price per ticket decreases due to the fixed costs (expressed by the constant term -1500) being spread out over a larger number of tickets.

Evaluate the expression. Drag the answer into the box to match the expression. 27⋅((33)−1) 27 3 1 1/9
27
3
1
1/9

Answers

The answer is 1.

3^3 = 27
27^-1 = 1/27
1/27 x 27 = 1

I took this test and got this question right.

Answer:


Step-by-step explanation:

answer is 1

What is the algebraic expression for the following word phrase: the quotient of j and 8

A.j-8
B.j+8
C.j
-
8
D.8j

Answers

[tex] \frac{j}{8} [/tex]

This is the correct algebraic expression for the quotient of j and 8. Quotient is just a fancy term for the answer to a division problem.

Answer:

[tex]\frac{j}{8}[/tex]

Step-by-step explanation:

the quotient of j and 8

We need to write the given word phrase in algebraic expression

Algebraic expression contains terms with numbers and variables with operators in between.

In the given word phrase , 'j' is the variable

quotient occurs only on division . so we divide 'j' and 8

The expression for word phrase the quotient of j and 8 is

[tex]\frac{j}{8}[/tex]

Through 3,1 slope -1

Answers

y-1=-1(x-3)

y-1=-x+3
y=-x+4

Martin is logging the number of strikes he bowls per hour. He has determined the function to be f(x) = 2x + 5, where x represents hours and f(x) represents the number of strikes he has bowled. Which of the following options describes the restrictions to the domain and range correctly?
Domain, nonnegative values; range, values greater than −2.5
Domain, nonnegative values; range, values greater than or equal to 5
Domain, nonnegative values; range, values less than −2.5
Domain, nonnegative values; range, values less than or equal to 5

Answers

domain (x values) are non-negative values
range (f(x) values are : values greater then or equal to 5

Answer:

B. Domain, nonnegative values; range, values greater than or equal to 5

Step-by-step explanation:

Basically, domain is the set of values that x can take and range is the set of values that the result of f(x) can be.

Since x is the time Martin spends bowling, it cannot be negative. The least he can bowl is zero hours, so x cannot be a negative number.

For the lowest x can be (zero), f(x) is calculated as:

f(x) = 2(0)+5 = 0+5 = 5

For higher values of x, the equation can only yield higher results because the 2 that is multiplying it is positive. Multiplying a two positive numbers (2 and x, which cannot be negative) will always give a positive number. In other words, f(x) is directly proportional to x because its coefficient 2 is positive, which means that when x grows, f(x) grows.

This means that f(x) can never be lower than 5.

The best description is, then, nonnegative values for the domain and values greater or equal to 5 for the range.

A repeating pattern of figures that completely covers a plane, without gaps or overlaps, is called a _____ conjecture. transformation. tessellation. composition.

Answers

Answer:A repeating pattern of figures that completely covers a plane, without gaps or overlaps, is called a tessellation.

Step-by-step explanation:

A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes are called tiles, without overlaps or gaps.They can be generalized to higher dimensions and a variety of geometries.

Therefore, A repeating pattern of figures that completely covers a plane, without gaps or overlaps, is called a tessellation.


During a storm, why do you see the flash of lightning before you hear the roar of thunder? What would it mean if you saw the flash of lightning and heard the roar of thunder at the same time? What would it mean if there were many seconds in between the flash of lightning and the roar of thunder?

Answers

The speed of light is faster than the speed of sound. So that's why you see a flash of lightning before the roar of thunder. If you heard it at the same time as you saw it, well I will be praying for you. It would literally be exactly where you are. If you hear the thunder a long time after the flash, it means the lightning is far away.

T/5=miles away when T is time from the strike of lightning to hearing thunder 

Final answer:

You see lightning before hearing thunder due to the faster speed of light compared to sound. A simultaneous occurrence suggests the lightning is very close, while a delay indicates distance, with every five seconds equaling approximately one mile.

Explanation:

During a storm, you see the flash of lightning before you hear the roar of thunder because light travels much faster than sound. Lightning, a massive discharge of electricity, heats and expands the air rapidly, creating the sound of thunder. The difference in the travel speeds of light (3 × 10⁸ meters per second) and sound means that we perceive these events at different times.

If you saw the flash of lightning and heard the roar of thunder at the same time, it would mean that the lightning strike occurred very close to your location, practically overhead. Conversely, a noticeable delay between the flash of lightning and the sound of thunder indicates that the lightning strike is farther away. Each 5-second gap between seeing lightning and hearing thunder equates to approximately one mile distance from the lightning strike.

To estimate the distance of a storm, you only need to know the speed of sound, as the speed of light is so fast that the time it takes for light to reach you is negligible for this calculation. This method of estimating distance helps understanding the physical phenomena and ensuring safety during storms.

Leon correctly found the slope and y-intercept of the line that passes through the points (9, –8) and (3, 4) as follows.

m = -8, -4 = -12
9-3 -6 =-2


y = -2x+b
-8=-2(9)+b
-8= -18+b
10=b

a)y=-2x+10
B) y=-2x+10
C) y= 10x-2
D)y=10x +2

Answers

Answer:

[tex]\displaystyle y = -2x + 10[/tex]

Step-by-step explanation:

The work is already done. This is EXACTLY how you find the parallel line, however, two answer choices are an EXACT REPLICA of each other. Perhaps there was a typographical error?

I am joyous to assist you anytime.

the correct answer is option

a)y=-2x+10.

How do you locate the slope?

pick factors on the line and decide their coordinates. determine the difference in y-coordinates of these two factors (upward thrust). determine the difference in x-coordinates for those two factors (run). Divide the difference in y-coordinates by means of the difference in x-coordinates (upward thrust/run or slope).

How do u find slope-intercept shape?

resolve for the slope (m). recollect, the slope is equal to the alternate in y divided with the aid of the change in x (upward push overrun).remedy for the y-fee of the y-intercept (b). replace m and b with their values inside the y=mx+b system.

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Simplify -|-5 + 2|.
a)-7
b)-3
c)3
d)7

Answers

- | -5 + 2 | = - 3....the reason it is -3 is because the first negative sign falls outside of the absolute value bars.

if it would have been | - (-5 + 2) | ur answer would have been 3 because the negative sign fell in ur absolute value bars.
Step 1. Simplify [tex]-5+2[/tex] to [tex]-3[/tex]

[tex]-|-3|[/tex]

Step 2. Simplify [tex]|-3|[/tex] to [tex]3[/tex]

[tex]-3[/tex]

Done! :)

Leslie needs to roll an 8 with 2 dice to win a game. how many possible outcomes are there for her to win?

Answers

4+4
2+6
3+5
3 if im not mistaken

Answer: 5

Step-by-step explanation:

Given : Leslie needs to roll an 8 with 2 dice to win a game.

Number of outcomes , when we roll a die {1 ,2,3,4,5,6} =6

When we roll two dice the total number of outcomes are:

[tex]6\times6=36[/tex]

The possible outcomes when we roll two dice :-

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The favorable outcomes to get sum as 8 :-

{(2,6), (6,2), (3,5), (5,3), (4,4)}

Hence, the number of possible outcomes are there for her to win = 5

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Team-teaching refers to the practice of A. two or more teachers joining together to teach the curriculum. B. one teacher joining a team of teachers already working to develop new curriculum. C. one teacher joining a team of established teachers to help develop new policies in the classroom. D. two or more teachers joining together to meet with a difficult family. A jet ski company charges a flat fee of $26.00 plus $1.00 per hour to rent a jet ski. Another company charges a fee of $14.75 plus $3.25 per hour to rent the same jet ski.find the number of hours which the cost are the same. Round your answer to the nearest whole number. Determine whether the equation 14+3x-7=7x+7-4x has one solution, no solution, or infinite solutions. Show work to support your answer. Linda and her mom would like to purchase the best quality printer available to consumers. they decide on a(n) ____ printer. A (n)______ is a solid that settles out of a liquid solution in a chemical reaction Even though it was clear she did not understand the concepts, she dementedly rambled about her failed math test.A.loudlyB.sadlyC.endlesslyD.madly Can someone please explain this to me? I've been staring at this for 10 minutes. answer choices: always, alwaysalways, nevernever, alwaysnever, never :Select the correct answer from each drop-down menu.Because of the status of female writers in the Victorian age, many women published their works under a if an employee comes to work with a bandage it cut he shouldif an employee comes to work with a bandage or a cut he should do the following How many helium atoms are there in a helium blimp containing 540 kg of helium? What is 0.96 as a fraction in simplest form? Suggest a reason that the time zone do not exactly follow meridians In addition to being the leader of Egypt what role did the pharaoh play Describe how place value is used in the binary number system. How is it similar or different from the way place value is used in the base 10 number system? a farmer made a square chicken coop with a length of 6 and a half metres. determine the area of the chicken coop In regards to job engagement, having a good manager they enjoy working for and ________ were found to be the top causations. feeling appreciated by one's supervisor being paid what they feel they are worth socializing with one's coworkers getting timely promotions having flexible work schedules Name the rule and find the next two numbers in the pattern 10,70,490 12(3w+8)=25 what is the w Gymnast Clothing manufactures expensive hockey jerseys for sale to college bookstores in runs of up to 300. Its cost (in dollars) for a run of x hockey jerseys is C(x) = 3000 + 10x + 0.2x2 (0 x 300) Gymnast Clothing sells the jerseys at $110 each. Find the revenue function. R(x) = Find the profit function. P(x) = How many should Gymnast Clothing manufacture to make a profit? HINT [See Example 2.] (Round your answer up to the nearest whole number.) Examine the fractions 2/3, 3/3, 4/3, 5/3, and 6/3. Explain when a denominator of 3 will result in a repeating decimal Steam Workshop Downloader