Answer:
Let's look back at the history of the world and reflect on some of the great new methods of transportation that have been invented. There were cars, motorbikes, cycles, carriages, trains, boats, carts and horseback. Cycles have by far been the most economical and productive to use. The first was made in 1817 by Karl von Drais. Since then, many improvements and changes have been made to the original design, like making equally sized wheels, adding rubber tires, etc.
Answer:
Cycling, also called bicycling or biking, is the use of bicycles for transport, recreation, exercise or sport. People engaged in cycling are referred to as "cyclists", "bicyclists", or "bikers". Apart from two-wheeled bicycles, "cycling" also includes the riding of unicycles, tricycles, quadracycles, recumbent and similar human-powered vehicles (HPVs).
Bicycles were introduced in the 19th century and now number approximately one billion worldwide. They are the principal means of transportation in many parts of the world.
Cycling is widely regarded as a very effective and efficient mode of transportation optimal for short to moderate distances.
Bicycles provide numerous benefits in comparison with motor vehicles, including the sustained physical exercise involved in cycling, easier parking, increased maneuverability, and access to roads, bike paths and rural trails. Cycling also offers a reduced consumption of fossil fuels, less air or noise pollution, and much reduced traffic congestion. These lead to less financial cost to the user as well as to society at large (negligible damage to roads, less road area required). By fitting bicycle racks on the front of buses, transit agencies can significantly increase the areas they can serve
In addition, cycling provides a variety of health benefits. The World Health Organization (WHO) states that cycling can reduce the risk of cancers, heart disease, and diabetes that are prevalent in sedentary lifestyles. Cycling on stationary bikes have also been used as part of rehabilitation for lower limb injuries, particularly after hip surgery. Individuals who cycle regularly have also reported mental health improvements, including less perceived stress and better vitality.
Among the disadvantages of cycling are the requirement of bicycles (excepting tricycles or quadracycles) to be balanced by the rider in order to remain upright, the reduced protection in crashes in comparison to motor vehicles, often longer travel time (except in densely populated areas), vulnerability to weather conditions, difficulty in transporting passengers, and the fact that a basic level of fitness is required for cycling moderate to long distances.
Hope this helps.....
Pls Mark my ans as brainliest :)Reflecting the graph of y = cos x across the y-axis is the same as reflecting it
across the x-axis.
True or Fale
Reflecting the graph of y = cos(x) is across the x-axis is the same as taking y = -cos(x). Reflecting across the y-axis is the same as taking cos(-x). However, cos(-x) is actually equal to cos(x), not -cos(x), so these two are not equivalent (diagram attached).
I have also attached a graph of these functions. The green line is the reflection over the y-axis, which is the same as the original function. The blue line is the reflection over the x-axis.
What is the value of x?
sin(x + 22)° = cos(2x - 7)º
Answer:
x=25°
Step-by-step explanation:
sin (x+22)=cos(2x-7)=sin (90-(2x-7))
x+22=90-(2x-7)
x+22=90-2x+7
x+2x=97-22
3x=75
x=75/3=25°
Answer:
x = 25
Step-by-step explanation:
Recall the trig identity sin(x) = cos(90 - x)
In other words, sin(x + 22) = cos(90 -(x+22)) = cos(68 - x)
Now, set them equal to each other:
cos(68 - x) = cos(2x - 7)
We can ignore the cosine:
68 - x = 2x - 7
3x = 75
x = 25
The graph represents measurements that Mack took in science class. Which units of measure could be related to this graph? A) x = yards and y = feet B) x = cups and y = ounces C) x = feet and y = inches D) y = pounds and y = ounces
Answer:
it's too late it's been 2years
1. Create your own data set with an interquartile range of 17.
2. Explain how you decided which numbers to use.
3. Show the math that shows the interquartile range is 17.
Hey there! I'm happy to help!
The IQR is how far apart the first and third quartiles are, which are the middle numbers of the first and second halves of a data set. Let's find some random numbers that are 17 apart. We will use 3 and 20.
Now, we have to create a data set where 3 is the middle number of the first half and 20 is the middle number of the second half. Let's have one with six numbers because that's a good amount I guess. Remember that the data has to be going from least to greatest.
In our first half we will have one number that is smaller than 3 and one bigger than three so that 3 is in the middle. Here's an example of what our first half should look like:
2,3,5
Now, for our second half, we need a number smaller than 20 and one greater than 20 so 20 is the the middle. Here's the second half I've made for you.
16,20,100
So, the data set I've created for you is 2,3,5,16,20,100. However, there are many other possibilities as you've seen.
My answers for your question 1 and 2 are in the explanation I've done, and here's the math that shows that the interquartile range is 17.
You split the data in half.
2,3,5, 16,20,100
Q1 is the middle number of the first, which is 3. Q3 is the middle of the second, which is 20.
You find how far apart they are by subtracting 3 from 20.
20-3=17.
The IQR is 17.
Have a wonderful day! :D
find the length of the missing sides
Answer:
x = 4√3
y = 8√3
Step-by-step explanation:
This is a special 30° 60° 90° right triangle
In this special triangle if the side length that sees 30° is represented by x and the side length that sees 90° is represented by 2x and the side length that sees 60° x√3
Here, the side length that sees 60° is given as 12
12 = x√3 and x = 4√3 therefore y is 8√3
If a b and c are three different numbers which of the following equations has infinitely many solutions
a. ax=bx+c
b. ax+b=ax+c
c. ax+b=ax+b
Answer: c ax + b = ax+ b
Step-by-step explanation: Seems like a trick question, especially since Answer c has no c in the equation. But once you put in numbers for a,b,and c, there cannot be infinite solutions for x in the first two examples.
Set up two or three equations and test them as proof.
If you're good at trigonometry please help me with 10 a and b and show full working out ty ;)
Answer:gjcnlfjdk
Step-by-step explanation:
What is 2^5 in standard notation
kindly help me with this
evaluate the integral
[tex] \gamma \binom{2}{1} \frac{2x}{{x}^{2} + 1} dx[/tex]
Answer: ln5 - ln2 ≈ 0.919
Step-by-step explanation:
[tex]\int\limits^2_1 {\dfrac{2x}{x^2+1}} \, dx\qquad \qquad =\int\limits^2_1 {(x^2+1)^{-1}} \, 2xdx[/tex]
Let u = x² + 1 → du = 2x
[tex]\text{Then we have:}\quad \int\limits^2_1 {u^{-1}} \, du \qquad =ln|u|\bigg|^2_1[/tex]
Substitute u = x² + 1
[tex]ln|x^2+1|\bigg|^2_1\quad =ln|2^2+1|-ln|1^2+1|\quad = ln|5|-ln|2|[/tex]
An expression is shown below: 2x3y + 18xy − 10x2y − 90y Part A: Rewrite the expression by factoring out the greatest common factor. Part B: Factor the entire expression completely. Show the steps of your work.
Answer:
Part A : 2y( x³ + 9x - 5x² - 45 ), Part B : 2y( x - 5 )( x² + 9 )
Step-by-step explanation:
Part A : Let's break every term down here to their " prime factors ", and see what is common among them,
2x³y + 18xy − 10x²y − 90y -
2x³y = 2 [tex]*[/tex] x³ [tex]*[/tex] y,
18xy = 2 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] x [tex]*[/tex] y,
− 10x²y = 2 [tex]*[/tex] - 5 [tex]*[/tex] x² [tex]*[/tex] y, - so as you can see for this example I purposely broke down - 10 into 2 and - 5. I could have placed the negative on the 2, but as that value was must likely common among all the terms, I decided to place it on the 5. The same goes for " − 90y. " I placed the negative there on the 5 once more.
− 90y = 2 [tex]*[/tex] - 5 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] y
The terms common among each term are 2 and y. Therefore, the GCF ( greatest common factor ) is 2x. Let's now factor the expression using this value.
2y( x³ + 9x - 5x² - 45 )
Part B : Let's simply factor this entire expression. Of course starting with the " factored " expression : 2y( x³ + 9x - 5x² - 45 ),
[tex]2y\left(x^3+9x-5x^2-45\right)[/tex] - Factor out " [tex](x^3+9x-5x^2-45\right))[/tex] " by grouping,
[tex]\left(x^3-5x^2\right)+\left(9x-45\right)[/tex] - Factor 9 from 9x - 45 and x² from x³ - 5x²,
[tex]9\left(x-5\right)+x^2\left(x-5\right)[/tex] - Factor out common term x - 5,
[tex]\left(x-5\right)\left(x^2+9\right)[/tex] - And our solution is thus 2y( x - 5 )( x² + 9 )
Which change can be made to correct the chart?
The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.
Answer:
3x^3/x = 3x^(3-1) = 3x^2
6x*y = 6xy
x^2y *y = x^2y^(1+1) = x^2y^2
4y*y = 4y^2
Step-by-step explanation:
This can be solved using law of Indices.
The expression 3x^3 should be 3x^2.
Here power of x is three while in output power of x is two hence we need to eliminate power of x by one for that we divide 3x^3 by x
Rule: x^a/x^b = x^(a-b)
3x^3/x = 3x^(3-1) = 3x^2 (answer)
_________________________________
The expression 6x should be 6xy.
here term y is missing hence we multiply 6x with y
rule: a*b = ab
6x*y = 6xy (answer)
_________________________________________________
The expression x^2y should be x^2y^2
Here we need power of y as 2, to do that we multiply x^2y by y.
Rule
x^2*x^b = x(a+b)
x^2y *y = x^2y^(1+1) = x^2y^2 (answer)
_____________________________________________
The expression 4y should be 4y^2\
Here we need power of y as 2, to do that we multiply 4y by y.
Rule
x^2*x^b = x(a+b)
4y*y = 4y^2 (answer)
Answer:
b: the expression 6x should be 6xy
Step-by-step explanation:
i just did on edgen 2020
What additional information must be known to prove the triangles similar by SSS? options: A) ∠F ≅ ∠Q B) No additional information is needed. C) The lengths of and D) ∠F ≅ ∠D
Answer:
Option A) [tex]\angle F\\[/tex] congruent with [tex]\angle Q[/tex]
Step-by-step explanation:
There is only information about two sides in each triangle, so there is still the need of a third piece of info which can come from an angle like [tex]\angle F\\[/tex] congruent with [tex]\angle Q[/tex], which are angles opposite to one of the given sides on each triangle.
Please help me I am bad at this stuff
please answer need help :)
Answer:
112
Step-by-step explanation:
Answer:
112
Step-by-step explanation:
7² = 7 * 7 = 49
4² = 4 * 4 = 16
7² + 3(4² + 3 + 2) = 49 + 3(16 + 3 + 2)
= 49 + 3 * 21
= 49 + 63
= 112
Type the correct answer in each box. In 2013, the population of the state of New York was approximately 19.65 million, and the population of New York City was 8,406,000. In 2013, how many people in New York state did not live in New York City? The answer in standard notation is______. The answer in scientific notation is p × 10q, where p is_____and q is ____.
Answer:
Standard notation:1124400
P=1.124
q=6
Step-by-step explanation:
Standard notation is the normal way of writing a number(in this case the standard notation is 11 244 000(which is the difference between the population of the New York state and New York city)
Then scientific notation is writing a number in two parts. The first part is placing a decimal point after the first digit. The second is *10 to a power that puts the decimal point back where it should be.(1.124*10 to the power 6)
HOPE IT HELPED
HELPPPP PLEASEEEEEEEEE
Answer:
3
Step-by-step explanation:
Plug in 2 for x:
5-2 - 3
Answer:
3
Step-by-step explanation:
f(x)= 5 - x
f(2) = 5 - 2 = 3
In triangle ABC, angle B = 90 degrees. Semicircles are constructed on sides AB, AC, and BC, as shown below. Show that the total area of the shaded region is equal to the area of triangle ABC.
Explanation:
The area of a semicircle is given by ...
A = πr^2/2
where r is the radius. Here, we're given diameters, so in terms of diameter, the area of a semicircle is ...
A = π(d/2)^2/2 = (π/8)d^2
__
The area of the semicircle with diameter AC is ...
white area = (π/8)AC^2
The area of the semicircle with diameter BC is ...
left semicircle area = (π/8)BC^2
And the area of the semicircle with diameter AB is ...
right semicircle area = (π/8)AB^2
__
We can use the relationship between the areas to find the shaded area:
triangle area + left semicircle area + right semicircle area =
white area + shaded area
Then the shaded area is ...
shaded area = triangle area + left semicircle area + ...
right semicircle area - white area
__
Filling in the values for area from above, we have ...
shaded area = triangle area+ (π/8)BC^2 +(π/8)AB^2 -(π/8)AC^2
shaded area = triangle area + (π/8)(BC^2 +AB^2 -AC^2)
From the Pythagorean theorem, we know that ...
AC^2 = BC^2 +AB^2
Substituting this into the above equation gives ...
shaded area = triangle area + (π/8)((Bc^2 +AB^2 -(BC^2 +AB^2))
shaded area = triangle area + 0 . . . . simplify
shaded area = triangle area
A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?
1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
Answer:
44kg of cereal, 16kg of nuts
Step-by-step explanation:
Step 1. We work out how much the party mix would cost if all of it was nuts.
$2.50 x 60kg = $150
Step 2. We work out how much we want the party mix to cost if it had the correct ratio of nuts and cereal.
$1.40 x 60kg = $84
Step 3. We work out the difference between the two above numbers.
$150 - $84 =$66
Step 4. We work out the difference between the nut mix and the cereal mix.
$2.50 - $1 = $1.50
Step 5. We divide the answer to step 3 ($66) by the difference between the nut mix and cereal mix.
$66 ÷ $1.50 = 44
Step 6. The answer to step 5 is the mass of the cereal mix. We then minus 44kg from the total mix mass of 60kg to get the mass of the nut mix.
60kg - 44kg = 16kg
Step 7. We double check.
44kg of cereal = $44 16kg of nuts = $40 $44 + $40 = $84
$84 ÷ 60kg = $1.4 per kg
Hope this helped!
Bluey :)
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
3 > x
Step-by-step explanation:
–2(5 – 4x) < 6x – 4
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: divide each side by by -2, remembering to flip the inequality
-6/-2 > -2/-2
3 > x
Answer:
x < 3
Step-by-step explanation:
−2(5−4x)<6x−4
Use the distributive property to multiply −2 by 5−4x.
−10+8x<6x−4
Subtract 6x from both sides.
−10+8x−6x<−4
Combine 8x and −6x to get 2x.
−10+2x<−4
Add 10 to both sides.
2x<−4+10
Add −4 and 10 to get 6.
2x<6
Divide both sides by 2. Since 2 is >0, the inequality direction remains the same.
x= 6/2
Divide 6 by 2 to get 3.
x= 3
X< 3
Mark me as brainliest
Two bicycles are driving on the circle in the same direction with speeds of 9 mph and 5 mph respectively. How many points are there on the circle where the two bicycles meet?
Answer:
4 points
Step-by-step explanation:
.
Let L be the circumference of the circle.
Then the faster cyclist will catch the slower cyclist first time when the faster cyclist will cover
the distance which exactly 1 circumference longer than the distance covered by the slower cyclist
9t-5t=l
It gives the time to get first meeting point
t=l/9-5=l/4 hours
and the distance which the faster cyclist covered during this time is
d1=9t=9l/4 miles
The distance which the slower cyclist covered during this time is
d2=5t=5l/4
The meeting point is geometrically the same point on the circle for both cyclists, and its angle measure on the circle is
(1/l)(5l/(4)-l)=1/4
of the full angle of 2pi radians, or 90 degrees.
So, they started simultaneously, and their first meeting point is at the 90 degrees angle.
Next, they started from this point SIMULTANEOUSLY and . . . and everything was repeated.
Hence, their next meeting point is the point on the circle with the angle of 180 degrees.
So, there are 4 remarkable points on the circle: first point is the starting point, and 3 other points
(the points where whey meet/catch each other) are the images of the starting point, rotated 90°, 180°, and 270° along the circle.
There are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
Let L represent the circumference of the circle.
Then the faster cyclist will catch the slower cyclist the first time when the faster cyclist will cover the distance which is exactly 1 circumference longer than the distance covered by the slower cyclist
9t - 5t = L
It gives them time to get the first meeting point
t = L/9 - 5
t = L/4 hours
The distance which the faster cyclist covered during this time;
d1 = 9t = 9L/4 miles
The distance that the slower cyclist covered during this time is
d2 = 5t = 5L/4
The meeting point is geometrically the same point on the circle for both cyclists, and its angle measured on the circle;
(1/l)(5l/(4)-l)=1/4
Therefore, their next meeting point is the point on the circle with an angle of 180 degrees.
So, there are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.
Learn more about circumference here;
brainly.com/question/12512221
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helppppp mee !!!!!!!!
Answer:
f(6) = 24
Step-by-step explanation:
Simply plug the value of 6 into the equation for x.
f(x) = x^2 - 2x
f(6) = (6)^2 - 2(6)
f(6) = 36 - 12
f(6) = 24
Answer: 24
Step-by-step explanation: you can say that 6=x Wichita in this case we would substitute x for 6
6²-2*6=36-12=24
Hope this helps!
Determine the points of intersection of the equation circumference x² + (y-3) ² = 25 with the coordinate axes.
Answer:
(4, 0), (-4, 0), (0, -2), (0, 8)
Step-by-step explanation:
Answer:
(0, -2), (4, 0), (0, 8), (-4, 0)
Step-by-step explanation:
The y-intercepts are found by solving for y when x=0.
(y -3)² = 25
y -3 = ±5 . . . . . take the square root
y = 3 ± 5 = {-2, 8}
The x-intercepts are found by solving for x when y=0.
x² +(0-3)² = 25
x² = 16 . . . . . . . . subtract 9
x = ±4 . . . . . . . . .take the square root
The y-intercepts are (0, -2) and (0, 8).
The x-intercepts are (-4, 0) and (4, 0).
An amusement park sells adult tickets and children’s tickets, with adults tickets costing $5 and children’s tickets costing $3. If Ed bought 15 tickets and spent a total of $57, how many children’s tickets did he buy? 3 5 6 9
Answer:
Nine
Step-by-step explanation:
3 dollars for children tickets : x
5 dollars for adult tickets: y
Equation is:
3x+5y=57
Where 57 is the total amount spent
x+y=15
where 15 is the total number of tickets bought
3x+5y=57
5(x+y)=5(15)
___________________
3x+5y=57
5x+5y=75
minus the equations top to bottom=
-2x= -18
x= -18/(-2)
x=9
He bought a total of 9 children tickets
Answer:
the answer is 9 or D
Step-by-step explanat ion:
What is the x xx-intercept of the line?
Answer:
(3,0)
Step-by-step explanation:
The graph is a line so it will have an equation with this form:
y = mx+b
m is the slope and b is the y-intercept.
Let's calculate m:
● m = (-32-(-64))/(-9-(-21)) = 8/3
Now replace m with its value and x,y with coordinates of a point.
● -32 = (8/3)*(-9) +b
● -32 = -24 +b
● -32+24 = b
● -8 =b
Solve y = 0
●(8/3)*x+b = 0
● (8/3) *x = 8
● x = 3
The coordinates of the x-intercept are (3,0)
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. y=-x^2+72x-458 We need to sell each widget at $ ___ in order to make a maximum profit of $ ____
Answer:
x = $36 , y = $ 838
Step-by-step explanation:
Solution:-
The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:
[tex]y = -x^2 + 72x -458[/tex]
We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).
From the properties of a parabola equation of the form:
[tex]y = ax^2 + bx + c[/tex]
The vertex ( turning point ) or maximum/minimum point is given as:
[tex]x = -\frac{b}{2a} \\\\x = -\frac{72}{-2} = 36[/tex]
The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:
[tex]y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838[/tex]
The maximum profit would be y = $838
Which of the following can prove that figure ABCD is a square?
Answer:
A
Step-by-step explanation:
all sides of square is 90degrees
Since AC and BD is the same, when you join the lines together, it will definitely be a square
Fill in with <, >, or = to
make the statement true.
'
1
12
1
4
14
Answer:
1
1=1 1<12 1=1 1<4 1<14
12
12=12 12>1 12>1 12>4 12<14
1
1=1 1<12 1=1 1<4 1<14
4
4=4 4>1 4<12 4>1 4<14
14
14=14 14>1 14>12 14>1 14>4
urgent!! - What is the perimeter of a parallelogram, if it's area is 36 cm2 and the distances between the point of intersection of the diagonals and the sides are 2 cm and 3 cm?
Answer:
30 cm
Step-by-step explanation:
The distance from the intersection of the diagonals (center of the parallelogram) to one side is half the height when that side is considered the base.
So, if the height is 2×(2 cm) = 4 cm, and the area is 36 cm², the base for that height must be ...
(36 cm²)/(4 cm) = 9 cm.
Similarly, if the height is 2×(3 cm) = 6 cm, the base for that height is ...
(36 cm²)/(6 cm) = 6 cm.
These "bases" are the side lengths of the parallelogram, so its perimeter is ...
P = 2(s1 +s2) = 2(9 cm +6 cm) = 30 cm
The perimeter of the parallelogram is 30 cm.
A bag contains 4 red marbles,
6 white marbles, and 5 blue
marbles. IT a blue marble was
removed from the bag and not
replaced, what is the probability
of then selecting a red marble?
Step-by-step explanation:
4+6+5=15
15-1=14
2/14
1/7
Answer:
[tex]\boxed{\frac{2}{7}}[/tex]
Step-by-step explanation:
Part 1: Finding out total number of marbles
To start, we need to find out how many marbles are in the bag.
[tex]4 + 6 + 5 = 15[/tex] marbles
Part 2: Removing blue marble and finding probability
After removing the blue marble and not replacing it, we can then infer that we have 14 marbles remaining.
If we have 4 red marbles in the bag, simply find the ratio of red marbles to the total marbles.
[tex]\frac{4}{14} = \boxed{\frac{2}{7}}[/tex] or a 28.57% chance of occurrence.
Which of these numbers is the most precise approximation of?
Answer:
[tex]\boxed{3.464}[/tex]
Step-by-step explanation:
Calculate the square root.
[tex]\sqrt{12} = 3.46410161514[/tex]
Approximate the value.
[tex]\sqrt{12} \approx 3.464[/tex]
Answer:
d
Step-by-step explanation:
to find the square root of a # see how many times a # can go into the root, find the # with the greatest value