Driving along Route 108 one day, a math teacher reached the railroad crossing in New-market at exactly the same time as a long freight train. While waiting patiently for the caboose to finally arrive and pass, the teacher decided to estimate the length of the train, which seemed to be moving at about 10 miles per hour. Given that it was a five-minute wait, how many feet did the teacher estimate the length of the train to be?
Answers
Thus, the length of the moving train with speed of 10 mi/hr , found by teacher is: 4400 feet.
Explain about the speed distance relation?Speed is the amount at which a distance changes over time. The speed is equivalent to s = D/T if D is the object's distance in time T. The units are the same as for velocity.
Given data:
Speed of train = 10 miles/hr
Time taken = 5 minutes.
Convert minutes in hours:
5 minutes = 5/60 = 1/12 hours.
Speed = distance / time
distance = speed * time
distance = 10 * 1/12
distance = 5/6 miles.
Convert miles in feet.
1 mile = 5280 feet
5/6 miles = 5280 * 5/6 feet
distance = 4400 feet
Thus, the length of the moving train with speed of 10 mi/hr , found by teacher is: 4400 feet.
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Related Questions
Q1. A heavy general purpose truck costs $12,000 has a life of six years with a $2,000 SV. using the
MACRS with a GDS recovery period of five years. What is the BV of the equipment at the end of
(including) year four?
IN EXCEL WITH EXPLANATION PLEASE
Answers
Answer:
Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.
Step-by-step explanation:
To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:
1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.
2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).
3. Enter the cost of the truck, $12,000, in cell B2.
4. Use the following formula in cell C2 to calculate the depreciation rate for each year:
=MACRS.VDB(B2, 5, 5, 1, C1)
This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).
5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.
6. Use the following formula in cell D2 to calculate the annual depreciation for each year:
=B2*C2
This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.
7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.
8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:
=SUM(D$2:D2)
This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.
9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.
10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:
=B2-E2
This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.
11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.
12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.
HELP ASAP PLSSS ITS DUE TODAY
Answers
Answer:
Penelope has to do 3 folding-in-half steps to get to a 100 inch perimeter.
Step-by-step explanation:
Every time you fold in half, you are dividing the perimeter by 2. So 800/2 is 400. 400/2 is 200. And 200/2 is 100.
What is the slope of the line that passes through the points (2, –3) and (–2, 5)? 2 1/2 -1/2 -2
Answers
Answer: The slope is -2.
Step-by-step explanation:
(2,-3)
(-2,5)
Using the two given points, you can find the slope by finding the difference in the y coordinates and diving it by the difference in the x coordinates.
y coordinates: -3 - 5= -8
x coordinates; 2-(-2) = 4
Slope: -8/ 4 = -2
a 50-year-old athlete with a resting heart rate of 60 beats/min is training at 70% of his maximal heart rate. using the maximal heart rate method, what is his exercise heart rate?
Answers
The exercise heart rate of the 50-year-old athlete can be calculated using the maximal heart rate method. The maximal heart rate is estimated by subtracting the person's age from 220.
To calculate the exercise heart rate using the maximal heart rate method, we first need to determine the maximal heart rate. This can be estimated by subtracting the person's age from 220. In this case, the athlete is 50 years old, so the maximal heart rate would be 220 - 50 = 170 beats per minute.
Next, we need to find the exercise heart rate at 70% of the maximal heart rate. This can be done by multiplying the maximal heart rate by 0.7.
Therefore, the exercise heart rate for the 50-year-old athlete training at 70% of his maximal heart rate is 119 beats per minute. This means that during his training, his heart should be beating at approximately 119 beats per minute.
In summary, the main answer is that the exercise heart rate for the 50-year-old athlete is 119 beats per minute when training at 70% of his maximal heart rate.
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Frankie wants to build a path from one corner of his yard to the opposite corner. His yard measures 20 ft. x 32 ft. What will be the length of his path to the nearest tenth of a foot?
Answers
Answer:
≈37.7 feet
Step-by-step explanation:
I'm assuming he goes diagonally.
We can form a triangle with legs 20 feet and 32 feet.
Using the Pythagorean Theorem, we get:
\(20^2+32^2=c^2\\400+1024=c^2\\1424=c^2\\c^2=1424\\c=\sqrt{1424}\\\)
c≈37.7
Answer: 37.7 ft
Step-by-step explanation:
20^2 + 32^2 = C^2 where c squared is the distance of the diagonal distance that he wants to walk.
20^2 +32^2 =c^2
400 +1024 =c^2
1424 = c^2
c= 37.7359 rounded to the nearest tenth of a foot is 37.7
Which expression is equivalent to -3(4-2g)-6?
Answers
Answer:
6g-6 will be the answer
Step-by-step explanation:
[-3(-2g)+(-3)(4)]-6
6g(-12-6)
6g-6
What is the circumference of a circle that has a radius of 10 centimeters if you are using 3.14 pi
Answers
Step-by-step explanation:
Circumference of a circle is 2piR
C=2piR and R=10
C=2(3.14)(10)
So the circumference is 62.8 cm
circle the greater number.
G. 4
— 0.56
5
Answers
Answer:
\(\frac{4}{5}\)
Step-by-step explanation:
4/5 = 0.8
0.8 is greater than 0.56
PLEASE ANSWER AS SOON AS POSSIBLE
Answers
Is there a relationship between the raises administrators at State University receive and their performance on the job? A faculty group wants to determine whether job rating (x) is a useful linear predictor of raise (y). Consequently, the group considered the straight-line regression model, (y) hat = (b) with subscript (1)x+ (b) with subscript (0). Using the method of least-squares regression, the faculty group obtained the following prediction equation, (y) hat=2,000x+ 14,000.
Interpret the estimated y-intercept of the line.
A)There is no practical interpretation, since rating of 0 is not likely and outside the range of the sample data.
B)For an administrator who receives a rating of zero, we estimate his or her raise to be $14,000.
C) The base administrator raise at State University is $14,000.
D) For a 1-point increase in an administrator's rating, we estimate the administrator's raise to increase $14,000
Answers
Yes, there is a relationship like a straight line between the raises administrators at State University receive and their performance on the job
The estimated y-intercept of the line in the given straight-line regression model is $14,000.The interpretation of this value is that for an administrator who receives a rating of zero, we estimate his or her raise to be $14,000. This value represents the base raise amount for the administrators at State University, regardless of their job performance rating.To obtain this interpretation, we consider the equation of the regression line, which relates the predicted raise amount (y hat) to the job performance rating (x). The y-intercept term in this equation is the value of y hat when x equals zero. Therefore, the estimated y-intercept of $14,000 represents the predicted raise amount for an administrator whose job performance rating is zero, which corresponds to the base raise amount at State University.
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Tom observes 240 birds. He notices that 12 of them have blue tail feathers. The next day he spots 40 birds with blue tail feathers. How many birds did he view in total that day?
Answers
Answer:
800
Step-by-step explanation:
240/12= 20 x 40 = 800
name the image of the point y after 90 degrees rotation clockwise about the origin
(look at the picture)
Answers
Answer:(0,-2)
Step-by-step explanation:
giving brainliest for correct answer
Answers
Answer:
x ≤ -6
Step-by-step explanation:
This is a close circle, meaning it will have an equal sign.
The line goes to the left of -6, meaning x < -6
So, our inequality is x ≤ -6
For an actual shaft and an actual hole in a transition fit phi
50 H8/p7, the actual fit formed by the actual shaft and the actual
hole is an interference fit or a clearance fit. Please give the
reason
Answers
To determine whether the actual fit is an interference fit or a clearance fit, you need to measure the actual sizes of the shaft and hole and compare them to the tolerance limits specified by the H8 and p7 designations.
In a transition fit, such as φ50 H8/p7, the fit allows for both interference and clearance depending on the actual sizes of the shaft and hole.
To determine whether the actual fit formed by the actual shaft and hole is an interference fit or a clearance fit, we need to compare the actual sizes of the shaft and hole with the tolerance limits specified by the H8 and p7 designations.
In this case, the H8 tolerance for the hole indicates a basic hole size with a relatively tight tolerance, while the p7 tolerance for the shaft indicates a basic shaft size with a looser tolerance. The "φ50" specification specifies the nominal size of the fit as 50 mm.
If the actual shaft size falls within the upper limit of the p7 tolerance and the actual hole size falls within the lower limit of the H8 tolerance, the fit will be a clearance fit. This means that there will be a gap or clearance between the shaft and the hole, allowing for easy assembly and potential movement or play between the parts.
On the other hand, if the actual shaft size falls within the lower limit of the p7 tolerance and the actual hole size falls within the upper limit of the H8 tolerance, the fit will be an interference fit. This means that the shaft will be larger than the hole, resulting in a tight fit where the parts are pressed or forced together. This can create friction and require more force for assembly.
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The sampling distribution of a statistic is
A. the distribution of values taken by a statistic in all possible samples of the same size from the same population.
B. the probability that we obtain the statistic in repeated random samples.
C. the distribution of a particular sample of a certain size.
D. the extent to which the sample results differ systematically from the truth.
E. the mechanism that determines whether randomization was effective.
Answers
Answer:
A
Step-by-step explanation:
Find the sum.
(3g² - g) + (3g² – 8g + 4) = ~
Answers
Answer:
\(=6g^2-9g+4\)
Step-by-step explanation:
So we have the expression:
\((3g^2-g)+(3g^2-8g+4)\)
Combine like terms:
\(=(3g^2+3g^2)+(-g-8g)+(4)\)
Add or subtract:
\(=6g^2-9g+4\)
This is the simplest it can get.
And we're done!
A data set is Normally distributed with a mean of 25 and a standard deviation of 8. If you calculate the standard score of every observation in this data set, the resulting scores will have a distribution that has
Answers
Answer:
The answer is "A mean of 0 and a standard deviation of 1".
Step-by-step explanation:
The standard answer of its following formula is calculated by:
\(\to z=\frac{X-\mu}{\sigma}\)
Its standard score relates to the sampling distribution with the normal distribution average standard variation of 0 and 1, correspondingly. The mean for a standard scoring is 0, and the normal deviation is 1. that's why the mean=0, standard deviation=1.
Here is an expression: 3 • 2t
1. Evaluate the expression when t is 1
2. Evaluate the expression when t is 4
Answers
Answer:
1. 6
2. 24
Step-by-step explanation:
Substitute in the values for t and solve the expression.
Answer:
1. 6
2. 24
Step-by-step explanation:
Substitute in the values for t and solve the expression.
Hi I’m major need of some help with this problem
Answers
We will have the following:
First, we remember that suplementary angles add to 180°; knowing this, we can see that the supplementary angle for
We also remember that the sum of internal angles of a triangle also add to 180°, so the following is true:
\(m<\text{ACB}+m<\text{CAB}+m<\text{ABC}=180\)So:
\((3x)+(2x+40)+(180-(7x+10))=180\Rightarrow(3x)+(2x+40)+(170-7x)=180\)Now, we solve for x, that is:
\(\Rightarrow(3x)+(2x+40)+(170-7x)=180\Rightarrow-2x+210=180\)\(\Rightarrow-2x=-30\Rightarrow x=15\)Now, knowing this we will find the measure of angle ABC, that is:
\(m<\text{ABC}=170-7x\Rightarrow mSo, the measure of the angle ABC is 65°.Whte an equation (a) in slope -intercept form and (b) in standard form for the line passing through (-3.4) and paralei 0x+5y=7
Answers
(a) The equation of the line passing through (-3, 4) and parallel to the line 0x + 5y = 7 in slope-intercept form is y = (5/0)x + (7/5).
(b) The equation of the line passing through (-3, 4) and parallel to the line 0x + 5y = 7 in standard form is 0x - 5y = -7.
To find the equation of a line parallel to 0x + 5y = 7, we need to determine the slope of the given line. The slope-intercept form of a line is y = mx + b, where m represents the slope and b represents the y-intercept.
For the given line 0x + 5y = 7, we can rewrite it in slope-intercept form by solving for y:
5y = -7
y = (-7/5).
Since the line we want is parallel, it will have the same slope. Therefore, the slope of the line is (5/0).
(a) Using the slope-intercept form, we substitute the slope (5/0) and the point (-3, 4) into the equation y = mx + b, and solve for b:
4 = (5/0)(-3) + b
b = 7/5.
Thus, the equation in slope-intercept form is y = (5/0)x + (7/5).
(b) To convert the equation into standard form, we multiply through by 5 to eliminate the fraction:
5y = (5/0)x + 7
0x - 5y = -7.
Therefore, the equation in standard form is 0x - 5y = -7.
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a chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt, and pepper. you have lost the directions about the order in which to add the ingredients, so you decide to add them in a random order. what is the probability that the first ingredient you add is either ground beef or onion?
Answers
The probability of adding either ground beef or onion as the first ingredient 0.25 or 25%.
If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:
Probability = (Number of desired outcomes) / (Total number of possible outcomes)
= 2 / 8
= 1 / 4
= 0.25
So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.
In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.
The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.
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Find the largest open intervals where the function is concave upward. f(x) = x^2 + 2x + 1 f(x) = 6/X f(x) = x^4 - 6x^3 f(x) = x^4 - 8x^2 (exact values)
Answers
Therefore, the largest open intervals where each function is concave upward are: f(x) = x^2 + 2x + 1: (-∞, ∞), f(x) = 6/x: (0, ∞), f(x) = x^4 - 6x^3: (3, ∞), f(x) = x^4 - 8x^2: (-∞, -√3) and (√3, ∞)
To find where the function is concave upward, we need to find where its second derivative is positive.
For f(x) = x^2 + 2x + 1, we have f''(x) = 2, which is always positive, so the function is concave upward on the entire real line.
For f(x) = 6/x, we have f''(x) = 12/x^3, which is positive on the interval (0, ∞), so the function is concave upward on this interval.
For f(x) = x^4 - 6x^3, we have f''(x) = 12x^2 - 36x, which is positive on the interval (3, ∞), so the function is concave upward on this interval.
For f(x) = x^4 - 8x^2, we have f''(x) = 12x^2 - 16, which is positive on the intervals (-∞, -√3) and (√3, ∞), so the function is concave upward on these intervals.
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find the first four terms of the taylor series for the function 2x about the point a=1. (your answers should include the variable x when appropriate.)
Answers
The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).
What are the initial terms of the Taylor series expansion for (2x) centered at (a=1)?To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:
\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)
Let's calculate the first four terms:
Starting with the first term, we substitute
\(\(f(a) = f(1) = 2(1) = 2x\)\)
For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).
\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)
\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)
Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)
Since the second derivative is zero, the third term is zero.
Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)
Similarly, the fourth term is also zero.
Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:
(2x + 2x - 2)
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2m² + 10 for m = -6
Help please
Answers
Answer:
82
Step-by-step explanation:
2×m²+10
m²= -6×-6=36
36×2=72+10=82
Hey there!
• If m = –6 then substitute it in the equation where m is at!
2(–6)² + 10
(–6)² = (–6)(–6) = 36
2(36) + 10 =
72 + 10 = 82
Answer: 82 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Identify all the numbered angles that are congruent to the given angle.List the numbers of any angles that are congruent to the given angle.
Answers
Answer:
Angle 1,4 and 7
Step-by-step explanation:
I know I know
Answer:
lol
Step-by-step explanation:
lololololol
helppppp meee pleaseeeee !!!!! :(
Answers
Answer:
70°
Step-by-step explanation:
the bottom small triangle is isosceles, which means in this case it has 2 35° angles. the third angle y is 180-2*35=110°
x is 180 - y = 180-110 = 70°
triplicate ratio of 2:1 is
Answers
Answer:
8/27
Step-by-step explanation:
The triplicate ratio of 2:3 is 2^3/3^3 = 8/27
HAVE A GREAT DAY!
If having a warranty on a car is important a person should buy a car that is _______
Answers
Answer:
the answer is new
Step-by-step explanation:
I just took the test
If having a warranty on a car is important a person should buy a car that is new.
What is warranty?Warranty can be defined as a form of assurance given to a buyer by the seller to repair the product that the buyer in case of damages occur within the stipulated warranty time.
Most new product often comes with a warranty and this warranty help to give the buyer an assurance that the product bought will either be repair or change in a situation were the product has issues after being bought from the seller or manufacturer.
Inconclusion if having a warranty on a car is important a person should buy a car that is new.
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9. Look at some of the printed letters in a textbook. The small horizontal
and vertical segments attached to the ends of the letters are called
serifs. Most of the letters in a textbook are in a serif typeface. The
letters on this page do not have serifs, so these letters are in a sans-
serif typeface. (Sans means "without" in French.) The figure shows a
capital letter A with serifs. Use the given information to write a
paragraph proof that the serif, segment HI, is parallel to segment JK.
Given: 21 and 23 are supplementary.
Prove: HI || JK
Answers
By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.
To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.
First, let's examine the given figure and information.
We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.
To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.
Supplementary angles are defined as two angles whose measures sum up to 180 degrees.
We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.
Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.
Now, let's assume that segments HI and JK are not parallel.
In this case, if we extend lines HA and JA, they will eventually intersect at point P.
Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.
However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.
Therefore, our assumption that segments HI and JK are not parallel must be incorrect.
Consequently, we can conclude that segment HI is indeed parallel to segment JK.
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which statement is false someone pls answer
Answers
Those angles are opposites