The answer is about 17 meters
We can use the Pythagorean theorem to put an upper bound on the height of the bump in the rail. This assumes half the expanded rail length (d+e) is the hypotenuse of a right triangle whose legs are the bump height (b) and the 2500 meter distance (d) from the center of the rail to its end.
The Pythagorean theorem relates these distances this way:
b² + d² = (d+e)²
Expanding the square on the right, we can simplify the expression to find b.
b² = (d²+2de +e²) -d²
b² = e(2d +e)
b = √(e(2d +e))
Using lengths in meters, we can fill this in to calculate b.
b = √(.06(2·2500 +.06)) = √300.0036
b ≈ 17.32 . . . . meters
We don't expect rails to tear loose from the rail bed and rise up to a height matching that of a 3-story building. That is why there are typically expansion joints and shorter rail lengths used in the construction of railways.
The height is a little lower if we take physics into account and distribute the stress in the rail along its length. No doubt the final curve is somewhat more complicated than the triangle we have assumed.
If it were an ellipse, the height might only be 9.4 meters, with the steepest rise occurring near the ends of the rail. The math for this model is beyond the scope of this answer.
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Find CD if KD=x+1 And KC=2x-1
Answer:
B) 2
Step-by-step explanation:
Is BK bisecting CD?
x + 1 = 2x -1 Subtract x from both sides
1 = x -1 Add 1 to both sides
2 = x
19.7 1. Jake found the hypotenuse of a right triangle to be an irrational number. Which of the following could be the number he found? O√16 O 12/13 O √2 k
Answer:
√2
Step-by-step explanation:
An irrational number is one that cannot be expressed as p/q where both p and q are integers
Square roots of numbers which do not result in an integer are irrational
So it is the last choice √2
A tree is 5 feet and 10 inches tall how tall is it in inches
Answer:
70 inches
Step-by-step explanation:
remembering that 1 foot is 12 inches, you would do 12 inches multiplied by 5 feet. 12x5=60. After adding 60 inches to the remaining 10 inches, you get 70 inches. The tree is 70 inches tall
What is 12.75w + 25 =114.25
Answer:
w = 7
Step-by-step explanation:
12.75w + 25 = 114.25
12.75w + 25 - 25 = 114.25 - 25
12.75w = 89.25
12.75w/12.75 = 89.25/12.75
w = 7
Hope this helps! :)
Looking at the box-an-whisker plot for the package weight data below, what
does the position of the median line in the box and the length of the whiskers
tell you about the shape of the distribution?
Ground Beef Package Weight Data (in pounds)
0.75
0.83
0.87
0.89
0.89
0.89
0.92
0.93
0.96
0.96
0.97
0.98
0.99
1.06
1.08
1.08
1.15
1.16
1.16
1.19
1.19
1.2
1.21
1.24
1.28
1.38
1.41
OA. The data is uniformly distributed.
B. The distribution is strongly skewed to the right.
OC. The position of the median and length of whiskers tell you little
about the shape of the distribution.
D. The data is roughly symmetrical and mound-shaped (normally
distributed).
O E. The distribution is strongly skewed to the left.
The box-plot for the package shows that median is almost at center and the data is roughly symmetrical and mound -shaped (normally-distributed ) .
A box plot, ajso referred to as a box and whisker plot, is a type of chart that is widely used in data analysis in descriptive statistics.
Box plots use the data's quartiles (or percentiles) and averages to visually depict the distribution of numerical data and skewness.Box plots display a data set's minimum score, first (lower) quartile, median, third (upper), and maximum scores in a five-number summary.The median is the average value from a set of data and is shown by the line that divides the box into two parts.Almost half the scores are greater than or equal to this value and half are less than the median value.Now we know that from the box plot that the median is almost at the Centre , and both the third quartile and first quartiles are almost at equal distance from median, thus we can say that it is almost symmetric and normally distributed.
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CAN YOU ANSWER NUMBER 30? THANK YOU
Answer:
the slope is -5/2 and the y-intercept is (0,-3)
Step-by-step explanation:
Answer:
y = -5/2x - 3
Step-by-step explanation:
First you distribute, -5/2 or -2.5 (x +4)
Which results in y - 7 = -2.5x + -10
and then add +7 to both sides
y = -2.5x + (-3 )
Turn x into a fraction and:
y = -5/2x - 3 The last answer choice
i t h i n k
Enter the difference in feet between the elevation at Zabriskie Point and Badwater Basin
The distinction in feet between the elevation at Zabriskie purpose and Badwater Basin is 930 feet.
Subtraction is associate degree operation wont to realize the distinction between numbers. Difference: the ultimate result once subtracting the number from the number.The image of the amount line of the question is given below.
From the image , we are able to see that
Zabriskie purpose is at 648 feet and Badwater Basin is at - 282 feet.
The distinction between these points is given by
= 648 - (-282)
= 930 feet
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The complete question is mention below :
The number line shows four elevations in Death Valley National Park.Enter the difference ,in feet between the elevation at Zabriskie Point and Badwater Basin .
If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are
a. substitutes.
b. complements.
c. normal goods.
d. inferior goods.
e none of the above
If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are substitutes.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The statement "If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes"
Substitutes are two goods that can be used in place of each other for a similar purpose.
In this case, if the price of blue jeans increases, consumers may switch to buying more tennis shoes instead, since they serve a similar purpose in terms of clothing.
Complements are two goods that are used together, such as peanut butter and jelly.
Normal goods are goods whose demand increases as income increases, while inferior goods are goods whose demand decreases as income increases.
Hence, If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are substitutes.
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7. The question is in the screenshot
The total number of vehicles is simply given as
A total number of vehicles. =[tex]\int_0^{20} f(x) d x[/tex]
This is further explained below.
What is the distance?Generally, How far away two things or points are may be measured, either quantitatively or quantitatively, using something called distance.
When discussing physics or using the term in daily conversation, "distance" may either refer to a literal measurement or an approximation based on several other factors.
In conclusion, Here, we need to include all of the cars that are available on the length of road that is 20 miles long, and we can accomplish this by integrating the density function f. (x).
Therefore a total number of vehicles. =[tex]\int_0^{20} f(x) d x[/tex]
Option C
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A house cleaner vacuums a house every fourth day and takes out the trash
every seventh day. The cleaner just vacuumed and took out the trash today.
In how many days will both tasks be done on the same day again?
sin²A+sin²A.tan²A=tan²A
Greetings from Brasil...
Putting SIN² A in evidence
SIN² A(1 + TG² A) = TG² A
1 + TG² A = SEC² A
SIN² A(SEC² A) = TG² A
SIN² A/COS² A = TG² A
TG² A = TG² A
What is an equation of the line that passes through the points (5,0) and (-8,0)
Answer:
y = 0x
explaination
Help me fast. somone please thanks <3
Answer:
[tex]6\frac{1}{9}[/tex]
Step-by-step explanation:
You said you needed the answer fast if you want I cant still give an explination.
LESSON 7.6 THERE ARE 4 QUESTIONS HERE PLEASE ANSWER ALL FOUR TO GET THE POINTS
Find the measure of the indicated angle to the nearest degree.
By using a trigonometric relation, we can see that the missing angle is a = 41.1°
How to find the missing angle on the right triangle?In the image we have a right triangle where we know the measures of the 3 sides and we want to find an interior angle.
These measures are:
Hypotenuse: 73 units.Opposite cathetus: 48 units.Adjacent cathetus: 55 units.Now we can use the trigonometric relation:
Cos(a) = (adjacent cathetus)/(hypotenuse)
Where a is the angle we want to get, so we can rewrite:
Cos(a) = 55/73
Now, if we apply the inverse cosine function in both sides, we get:
Acos(Cos(a)) = Acos( 55/73)
a = Acos(55/73) = 41.1°
By using a trigonometric relation, we can see that the missing angle on the right triangle is a = 41.1°
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HELP ASAP I DONT WANT TO FAIL
Answer:
2
Step-by-step explanation:
What is .75x.75x.75x.75x.75 written as a power
Answer: 75^5 which mean 75 to the 5th power
Step-by-step explanation:
The Gomez family has 3 dogs and 2 birds. What fraction of the pets are birds?
Answer:
2/5
Step-by-step explanation:
if there’s 5 pets and 2 of them are birds 2/5 of them are birds
The length of a rectangular deck is five times its width if the decks perimeter is 24 feet what is the decks area
The area of the rectangular deck is 20 ft²
How to find the area of a rectangle?The length of a rectangular deck is five times its width.
Therefore,
l = 5w
perimeter of the rectangular deck = 2(l + w)
where
l = lengthw = widthTherefore,
24 = 2(5w + w)
24 = 2 × 6w
12w = 24
divide both sides by 12
w = 24 / 12
w = 2
Therefore,
area of the rectangular deck = lw
area of the rectangular deck = 2 × 10
area of the rectangular deck = 20 ft²
Therefore, the area of the rectangular deck is 20 ft²
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Evaluate squareroot of
61.73²-38.27²
Answer:
48.43552415324934
Step-by-step explanation:
61.73²-38.27² = 2346
[tex]\sqrt{2346}[/tex] = 48.43552415324934
25°
y
x 120°
y=[? ]º
Answer:9514 1404 393
Answer:
y = 95°
x = 60°
Step-by-step explanation:
The applicable theorem is the one that says the exterior angle (120°) is the sum of the remote interior angles:
120° = 25° +y
95° = y . . . . . . . . . . subtract 25° from both sides
_____
If you like, you can get there by calculating x (or not):
x = 180° -120°
y = 180° -25° -x = 180° -25° -(180° -120°)
y = 120° -25° . . . . . simplify — notice we didn't actually have to compute x
Step-by-step explanation:
The equation: s=p2−p2 gives the number of handshakes, s, that would take place when p people gather in a room and every person in the room shakes the hand of every other person exactly once. A) There are 12 people in the room, how many unique handshakes will there be? Answer: There will be unique handshakes. B) If there are 120 unique handshakes in the room, how many people are there? Answer: There are people in the room.
serian
respuesta 9 .5 por 56. 5678902
What expression is equivalent to 5^0 • 5^3 A: 0. B:1. C:5^3. D:1/5^3
Write 3thousands 16 tens 7 ones in standard form
Answer: 3,167
Step-by-step explanation:
Suppose X is normally distributed with a mean of 5 and a standard deviation of 0.4. Assume that P(X ≤ X₀) = P(Z ≤ 1.3). Which of the following equations should be solved to get the value of X₀?
For the standard deviation, from the equation find the value of X₀ is 10.2
What is Standard Deviation ?
The standard deviation measures the degree of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation indicates that the values are dispersed over a wider range.
Given
Z = 1.3
μ = 5 , σ = 0.4
Now for X₀
Z = X₀ -X / σ
1.3 = X₀ - 5 / 0.4
X₀ = 10.2
Hence, X₀ = 10.2
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What is the factored form of the polynomial?
x² - 12x + 27?
O(x+4)(x
+ 3)
O(x-4)(x
+ 3)
O(x + 9)(x + 3)
O(x-9)(x-3)
Answer:
D. (x-9)(x-3)
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solve system of equations by using elimination method. (solve for (x,y,z) please explain the steps im so confused.
4x-y-2z=-8
-2x+4z=-4
x+2y=6
The solution to the given system of equations is x = -2, y = 4, and z = -2. That is, the solution is (-2, 4, -2)
From the question, we are to solve the given system of equations
The given system of equations is
4x - y -2z = -8 ------------ (1)
-2x + 4z = -4 ------------ (2)
x + 2y = 6 ------------ (3)
From equation (2)
-2x + 4z = -4
4z = -4 + 2x
Divide through by 2
2z = -2 + x ----------- (4)
From equation (3)
x + 2y = 6
2y = 6 - x
y = 3 - 1/2(x) ---------- (5)
Substitute equations (4) and (5) into equation (1)
4x - y -2z = -8
4x -(3 -1/2(x)) - (-2 +x) = -8
4x -3 + 1/2(x) + 2 - x = -8
Multiply through by 2
8x - 6 + x + 4 -2x = -16
Collect like terms
8x + x -2x = -16 + 6 - 4
7x = -14
x = -14/7
x = -2
Substitute the value of x into equation (4)
2z = -2 + x
2z = -2 + (-2)
2z = -2 - 2
2z = -4
z = -4/2
z = -2
Substitute the value of x into equation (5)
y = 3 - 1/2(x)
y = 3 - 1/2(-2)
y = 3 + 1
y = 4
Hence, the solution to the given system of equations is x = -2, y = 4, and z = -2. That is, (-2, 4, -2)
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2. How is the sentence "9 less than x is-1" written as an equati
Answer:
x - 9 = -1
Step-by-step explanation:
When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9
What is the direction and strength of the association between the variables?
weak negative
weak positive
strong positive
strong negative
The required solution from the graph that variable X and Y have a strong negative association.
What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related. Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.
Given:
The given graph attached below .The graph is between variable x and variable y.
According to given question we have
The graph slopes downwards as variable X increases, hence we have a negative relationship between X and Y.
The graph shows strong negative because we see a correlation of downwards sloping.
The trend produced by the graph is straight forward with points close to one another, hence forming a well - defined pattern. These depicts a Strong association between the variable.
Therefore, the required solution from the graph that variable X and Y have a strong negative association.
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What is the approximate value of √77, to the nearest whole number?
the perimeter of a college basketball court is 96 meters
and the length is 3 meters less then twice the width.
What are the demensions.
Answer:
Width=17m and Length=31m
Step-by-step explanation:
The perimeter of basketball court is rectangle in shape and is 96 m.
let us assume width be x m
so accordingly length will be 2*x-3=2x-3m
Perimeter= 2*(length+width)
96=2*(2x-3+x)
96=2*(3x-3)
96=6x-6
6x=102
x=102/6
x= 17
so, the width is 17m
and length is 2x-3=2*17-3=31m