Therefore , the solution of the given problem of graph comes out to be the graph is a symmetric wave that oscillates between 5 and 5.
A graph is what?Mathematicians use graphs to logically chart or illustrate claims rather than values in an interesting visual way. Usually, a graph point shows the connection between two or more objects. A graph is a particular kind of non-linear railway assembly composed of nodes and lines. The nodes, also known as the borders, should be joined together with glue. The node numbers in this network included 1, 2, 3, and 5, while the edge numbers included 1, 2, 3, and 4, along with (2.5), (3.5), (4.5), but also (4.5). (4.5).
Here,
Plotting a few important spots will help us later when we sketch the graph of f(t) = 5 cos(t).
Since the function has a phase of 2, we can concentrate on the range from 3/2 to 3/2. We possess
=> f(−3/2) = 5 cos(−3/2) ≈ 4.515
=> f(−π) = 5 cos(−π) = −5
=> f(−1/2) = 5 cos(−1/2) ≈ 4.045
=> f(0) = 5 cos(0) = 5
=> f(1/2) = 5 cos(1/2) ≈ 4.045
=> f(π) = 5 cos(π) = −5
=> f(3/2) = 5 cos(3/2) ≈ 4.515
Using these coordinates, we can create the following f(t) graph:
With maximum positions at t = /2 and t = /2, and minimum points at t = 3/2, t = 1/2, t = 1/2, and t = 3/2,
the graph is a symmetric wave that oscillates between 5 and 5.
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A new automobile is purchased for $20,000. If V = 20,000(0.8)x, gives the car’s value after x years, about how long will it take for the car to be worth $8,200?
Answer:
Step-by-step explanation:
We can start by setting up an equation to solve for x, the number of years it will take for the car to be worth $8,200:
8200 = 20000(0.8)^x
Dividing both sides by 20,000, we get:
0.41 = 0.8^x
Taking the logarithm of both sides (using any base, as long as we're consistent), we get:
log(0.41) = log(0.8^x)
Using the property of logarithms that allows us to bring down the exponent as a coefficient, we get:
log(0.41) = x log(0.8)
Dividing both sides by log(0.8), we get:
x = log(0.41) / log(0.8)
Using a calculator, we find:
x ≈ 5.92
Therefore, it will take about 5.92 years for the car to be worth $8,200.
2(d-3)+5(d+2) = 4(d+6)-11
Given:-
[tex] \sf{2(d-3)+5(d+2) = 4(d+6)-11 }[/tex][tex] \: [/tex]
Solution:-
[tex] \sf{2(d-3)+5(d+2) = 4(d+6)-11 }[/tex][tex] \: [/tex]
[tex] \sf{2d - 6 + 5d + 10 = 4d + 24 - 11}[/tex][tex] \: [/tex]
[tex] \sf{2d + 5d - 4d = 24 - 11 + 6 - 10}[/tex][tex] \: [/tex]
[tex] \sf{7d - 4d = 13+6-10}[/tex][tex] \: [/tex]
[tex] \sf \: 3d = 19-10 [/tex][tex] \: [/tex]
[tex] \sf \: 3d = 9[/tex][tex] \: [/tex]
[tex] \sf \: d = \cancel \frac{9}{3} [/tex][tex] \: [/tex]
[tex] \underline{ \boxed{ \sf{ \color{pink}d = 3}}}[/tex][tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━━
Hope it helps! :)
A circle has a radius of 4 ft.
What is the area of the sector formed by a central angle measuring 270°?
Use 3.14 for pi and round the decimal to the nearest tenth.
42.8 ft²
37.7ft²
12 ft²
9.4 ft²
Cοnsequently, a 270° center angle's sectοr has an area οf 37.7 feet². A: 37.7 feet².
What is circle?A circle is a clοsed, twο-dimensiοnal οbject that can be described as the cοllectiοn οf all pοints in a plane that are equally spaced frοm the circle's center. The diameter οf a circle is equal tο the distance traveling thrοugh its center, while the radius is the distance frοm the center tο any lοcatiοn οn the circle. A circle's area is the rοοm it enclοses, while its circumference is the distance it spans.
given
We must apply the fοllοwing algοrithm tο determine the sectοr's area:
Sectοr area is equal tο (angle at center/360°) * radius * 2
Radius is 4 feet, and the center angle is 270 degrees. By replacing these numbers, we οbtain:
Sectοr area equals (270/360) * * 42.
Sectοr area equals (0.75) * 3.14 * 16
Sectοr size: 37.7 square feet (rοunded tο the nearest tenth)
Cοnsequently, a 270° center angle's sectοr has an area οf 37.7 feet². A: 37.7 feet².
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As a part of a group exercise, 5students randomly selected 3 cards with angle measures written on them. The table below shows the results. (Multiple answers may be selected.)Cards SelectedNameAngle MeasuresSamuel100, 80, 60Aisha50, 45, 85Karen45, 45, 45Huan80, 50, 70Arsenio75, 35, 70Which students selected angle measures that could form a triangle?A.AishaB.SamuelC.HuanD.ArsenioE.Karen
Answer:
Aisha, Arsenio
Step-by-step explanation:
Because it adds up to a total of 180 degrees
A random survey of seventh- and eighth-grade students was conducted to find out how many hours is spent doing homework each night. Of the two sets of data, which has the greater median?
Cοmparing the medians fοund using the given bοx plοt, we fοund that the median οf eighth graders is greater than the median οf the seventh graders.
What is a bοx plοt?A bοx and whisker plοt, οften knοwn as a bοx plοt, shοws a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.
A bοx is drawn frοm the first quartile tο the third quartile in a bοx plοt.
At the median, a vertical line passes thrοugh the bοx. It is generally used tο shοw whether a distributiοn is skewed οr nοt and whether there are any pοtential οutliers, οr οdd οbservatiοns, in the data set.
When cοmparing οr invοlving numerοus data sets, bοxplοts are alsο highly helpful. Graphs can be used tο determine hοw widely the data values vary οr are spread οut.
Frοm the bοx plοt given, we can summarize the fοllοwing,
Fοr seventh graders,
The first quartile Q1 = 3
The third quartile Q3 = 4
Interquartile range = Q3 - Q1 = 4-3 = 1
The median = 3.5
Fοr eighth graders,
The first quartile Q1 = 3.5
The third quartile Q3 = 4.5
Interquartile range = Q3 - Q1 = 4.5 -3.5 = 1
The median = 4
Therefοre cοmparing the medians fοund using the given bοx plοt, we fοund that the median οf eighth graders is greater than the median οf the seventh graders.
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the number of terms of the sequence 4²,5²,6²....39²,40² that have an even digit in the tens place is
There are 29 terms of the sequence given which is even in tens place.
What are even numbers?A number that is divisible by 2 and generates a remainder of 0 is called an even number.
Examples of even numbers are 2, 4, 6, 8, 10, etc.
Given that, the sequence 4²,5²,6²....39²,40² we need to find the terms that have an even digit in the tens place is.
Finding the squares =
4² = 16, 5² = 25, 6² = 36, 7² = 49, 8² = 64, 9² = 81, 10² = 100, 11² = 121, 12² = 144, 13²= 169, 14² = 196, 15² = 225, 16² = 256, 17² = 289, 18² = 324, 19² = 361, 20² = 400, 21² = 441, 22² = 484, 23² = 529, 24² = 576, 25² = 625, 26² = 676, 27² = 729, 28² = 784, 29² = 841, 30² = 900, 31² = 961, 32² = 1024, 33² = 1089, 34² = 1156, 35² = 1225, 36² = 1296, 37² = 1369, 38² = 1444, 39² = 1521, 40² = 1600
The terms having even number in tens place,
5, 7, 8, 9, 10, 11, 12, 13, 15, 17, 18, 19, 10, 21, 22, 23, 25, 27, 28, 29, 30, 31, 32, 33, 35, 37, 38, 39 and 40
Hence, there are 29 terms of the sequence given which is even in tens place.
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Given ΔABC≈ΔPQR and your scale factor:
Complete the Hotspots
If youd like to show your work please do itll help me better understand.
∠1 = 68°
∠2 = 22°
side 3 = 5 cm
side 4 = 19.5 cm
5: perimeter of ΔABC = 45 cm
6: perimeter of ΔPQR = 30 cm
7: Area of ΔPQR = 30 cm²
How to complete the hotspots for the similar triangles?Similar triangles are triangles that have the same shape but may have different sizes. This means that corresponding angles of similar triangles are equal, and corresponding sides are in proportion.
The hotspots can be completed as follow:
∠1 = 180° - 22° - 90° = 68° (angle sum in a triangle)
∠2 = 22° (similar triangle)
side 3 = √(13²-12²) = 5 cm (Pythagoras)
side 4 = √(18²+7.5²) = 19.5 cm (Pythagoras)
5: perimeter of ΔABC = AB + BC + AC = 7.5 + 19.5 + 18 = 45 cm
6: perimeter of ΔPQR = PQ + QR + PR = 5 + 13 + 12 = 30 cm
7: Area of ΔPQR = 1/2 * base * height = 1/2 * 12 * 5 = 30 cm²
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Find Growth/Decay Percentage for y=990(1.922)
The growth percentage for the given function is 92.2%.
What is the percentage?
A number can be represented as a fraction of 100 using a percentage. "%" is used to represent it.
For instance, when we state that 20% of a class is made up of guys, we mean that 20 of the class's 100 pupils are male. In other words, there are 20 out of 100 boys in the class, or 0.2.
We can multiply by 100 to change a fraction or decimal into a percentage. For instance, we can multiply the fraction 3/5 by 100 to achieve the following percentage conversion:
3/5 × 100% = 60%
Now,
The given function is [tex]y = 990^{(1.922)}[/tex]
We can compare this to the standard form of an exponential function y = abˣ, where "a" represents the initial value or starting point, "b" represents the growth or decay factor, and "x" represents the time or number of periods.
In this case, we have:
a = 990 (the initial value)
b = 1.922 (the growth factor)
To find the growth percentage, we can subtract the initial value from the final value and divide by the initial value:
(1.922 - 1) / 1 × 100% = 92.2%
Therefore, the growth percentage for the given function is 92.2%.
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Data from 2020 indicate the U.S. was growing at yearly rate of 0.59%. The population of the U.S. that year was about 332 million, so a formula for the population P of the U.S. at time/ years after 2020 can be given by P(t) = 332(1.0059)^t, in
millions.
(a) Write a formula for the population of the U.S. at time/ years after 2020, of the form
P(t)=aekt. Show your work. Round the growth factor k to 5 decimals.
please please please could someone explain how to do this and show work!!!
The exponential growth equation is P ( t ) = 332 ( 1.0059 )^t , where t is the number of years and P ( t ) is the population after 2020
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the initial population be represented as x₀
Now , the value of x₀ = 332 million
And , the exponential growth rate r = 0.59 %
where the population of the U.S. at time/ years after 2020 is of the form equation P( t ) = aekt
On simplifying , we get
The population of the U.S. at a time P ( t ) = 332 ( 1 + 0.59% )^t
Now , the value of P ( t ) is
The population of the U.S. at a time P ( t ) = 332 ( 1 + 0.0059 )^t
The population of the U.S. at a time P ( t ) = 332 ( 1.0059 )^t
where the growth factor k = 1.0059
Hence , the exponential growth equation is P ( t ) = 332 ( 1.0059 )^t
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413 + (43x - 21) = 1080
During your chemistry lab, you fill a cone-shaped beaker that has a 1-inch diameter and a 2- inch height with lead, which weigh 0.41 pounds per cubic inch. Find the weight of the lead in the beaker.
The weight of the lead in the beaker is 0.21 pounds.
What is volume of a cone?A cone is a three dimensional shape with slant sides and a circular surface. Its volume can be defined as the amount of substance that it can contain.
volume of a cone = 1/3 [tex]\pi[/tex]r^2*h
where r is the radius of its circular surface, and h is its height.
In the given question, we have;
r = d/2 = 1/2
= 0.5 inches
h = 2 inches
Thus,
volume of the cone-shaped beaker = 1/3 [tex]\pi[/tex]r^2*h
= 1/3 *22/7*(0.5)^2*2
= 0.524
The volume of the lead in the cone-shaped beaker is 0.524 cubic inch.
Weight of the lead in the beaker = 0.524*0.41
= 0.2148
The weight of the lead in the beaker is 0.21 pounds.
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Use the simple interest formula to find out how much interest Graham earns after 5 years. if he
leaves his $1,320 in the account with (3.2% interest.
Answer:
Step-by-step explanation:
[tex]I=Prt[/tex] P=principal, r =interest rate, t=time
[tex]I=1,320[/tex] × [tex]\frac{3.2}{100}[/tex] × [tex]5[/tex]
[tex]= 211.20[/tex]
He will earn $211.20 interest.
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
16 yd
6 yd
14 yd
8 yd
7 yd
The missing side length on the figure is 9 yards
How to determine the missing side lengthFrom the question, we have the following parameters that can be used in our computation:
The figure
The missing length on the figure is represented with ?
Using the above as a guide, we have the following equation
? + 7 = 16
Evaluate
? = 9
Hence, the missing side length is 9 yards
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The missing side length is equal to 9 yd.
Rectangles
The rectangle is a quadrilateral. The classification for quadrilaterals is given by the length of sides and angles. For a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
A rectangle is a geometric figure that has 4 sides called: length and width (W). Due to its characteristics, the rectangle presents two lengths (L) and two widths (W).
For solving this question, you should:
Identify the basic shapes;Find the missing side length;STEP 1 - Identify the basic shapes.The figure is composed of two rectangles:
Rectangle 01 whose sides are: 6 yd (W) and 16 yd (L).
Rectangle 02 whose sides are: 8 yd (W) and 7 yd (L).
STEP 2 - Find the missing side length.
If the length (L) of rectangle 01 is 16 yd, which is equal to the sum between the missing side and the length of rectangle 02 (7 yd). Thus
16=s+7
s=16-7
s=9
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What is the equation for calculating the area of a triangle?
A =
base · height
A = length · width
A = pi · height
A =
base · height
The equation for calculating the area of a triangle is:
A = 1/2 * base * height
where A represents the area of the triangle, base represents the length of the base of the triangle, and height represents the height of the triangle measured perpendicularly to the base.
solve the value of n 20 = 2 (n - 3)
Answer:
13
Step-by-step explanation:
1. 20/2 = n - 3
2. 10 = n - 3
3. 10 + 3 = n
4. 13 = n
Can someone help me please i really need help with this.
use the Remainder Theorem and synthetic division please
The solution for the function at the different values of x are,
f(-10) = 20001
f(2) = 49
f(3) = 214
What is a function?In mathematics, functions are often represented by equations or formulas, and take one or more input values to produce an output value. They can be used to model a wide variety of phenomena, from physical systems to economic behavior to social dynamics.
The given function is f(x) = 2x⁴ + x² - 10x + 1. The output of the function at the different values of x will be calculated as,
At x = -10,
f(x) = 2x⁴ + x² - 10x + 1
f(-10) = 2(-10)⁴ + (-10)² - 10(-10) + 1
f(-10) = 20001
At x = 2,
f(x) = 2x⁴ + x² - 10x + 1
f(2) = 2(2)⁴ + (2)² + 10(2) + 1
f(2) = 49
At x = 3,
f(x) = 2x⁴ + x² - 10x + 1
f(3) = 2(3)⁴ + (3)² + 10(2) + 1
f(3) = 214
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Find the volume of a sphere whose radius is 20.8 centimeters. Leave your answer in form.
π cm³
Type the answer in terms of pi by putting the number BEFORE pi in the box, rounded to the nearest thousandth.
For example, "47" would look like 4
V=
H
Answer: its really simple the answer is 478cm^3
Step-by-step explanation:
Answer:
478cm^3
Step-by-step explanation:
Please help me I would appreciate it.
use the Remainder Theorem and synthetic division please
Answer:
f (3) = 142
Step-by-step explanation:
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The following histogram shows the number of items sold at a grocery store at various prices: Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 4. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 0. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1. Which of the following data sets is represented in the histogram? {0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99} {2, 4, 0, 1} {2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00} {0.50, 2.50, 2.50, 5.00, 5.00, 5.00, 7.51}
The second bar represents the price range from $2.51 to $5.00, so the data set includes the value of 4.53 and the value of 5.00 the correct answer is {0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
What is the histogram?A histogram is a graph used to represent the frequency distribution of a few data points of one variable. Histograms often classify data into various “bins” or “range groups” and count how many data points belong to each of those bins.
The histogram shows the number of items sold at various price ranges, and the heights of the bars indicate the number of items sold within each price range.
The data set that is represented in the histogram is:
{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
This is because the histogram has four bars with heights of 2, 4, 0, and 1, which correspond to the number of items sold in each of the four price ranges shown.
The values in the data set correspond to the boundaries of these price ranges. For example, the first bar represents the price range from $0.00 to $2.50, so the data set includes the value 2.00 (which is within this range) and the value 2.52 (which is just outside this range).
Similarly, the second bar represents the price range from $2.51 to $5.00, so the data set includes the value of 4.53 (which is within this range) and the value of 5.00 (which is the upper boundary of this range).
Therefore, the second bar represents the price range from $2.51 to $5.00, so the data set includes the value of 4.53 and the value of 5.00 the correct answer is {0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
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you pick a card at random. 2 3 4 What is P(odd)? Write your answer as a fraction or whole number.
The answer in a fraction or whole number. is P(odd) = 1/3.
What exactly is the fractions rule?Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken.
The number below the line is called the denominator. It shows the total number of equal parts the whole is divided into or the total number of the same objects in a collection
According to the fundamental principle of fractions, a fraction retains its value whenever its numerator or denominator were multiplied by a single non-zero number. It can be used to multiply or divide two fractions.
Only 3 is odd among the integers 2, 3, and 4. As a result, there is a 1/3 chance of selecting an odd number (1 out of 3).
P(odd) is equal to 1/3 as a result.
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5. The library is installing new
shelves. If the carpenter has
4/5 yard of wood to make
into 2 shelves of equal length,
how long will each shelf be?
Answer:
2/5 yard of wood
Step-by-step explanation:
4/5 for 2 equal shelves.
The shelves are equal, so we need to divide 4/5 by 2.
4/5 divided by 2 is 2/5.
(4/2=2. We then put the denominator of 5. 2/5)
PLEASE HELP QUICK
Is X=[2 -1
6 -4] the inverse of A=[1/2 1/4
-2 -1/2]?
Select answers from the drop-down menus to correctly complete the statements.
The product of the matrices
(a - is b - is not)
the identity matrix. Therefore, X and A
(a - are b - are not)
inverses of each other.
Answer:
The product of the matrices A and X is the identity matrix. Therefore, X and A are inverses of each other.
Step-by-step explanation:
Need help asap! (For 30 points)
Answer:
11%
Step-by-step explanation:
110 divided by 10 is 11% or 11 times 10 is 110
Answer:
10% of 110 is 11
Step-by-step explanation:
Finding the fraction of a number is the same as multiplying a fraction with the number
10/100 of 110 = 10/100 x 110
so the answer is 11
Can someone answer this just read the picture? Right answers only please!
Answer:
6 + 40 *3 = 126
Step-by-step explanation:
first is 6 and you add 3 in every step
Answer:
126 smileys
Step-by-step explanation:
[tex]a_{1} =[/tex] First term
= 6
[tex]d =[/tex] Common difference
= 3
[tex]n =[/tex] [tex]n^{th} term[/tex]
= Step number
Arithmetic sequence will be applied:
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
For n = 2:
[tex]a_{2} = 6 + (2 - 1)(3)[/tex]
[tex]= 6 + (1)(3)[/tex]
[tex]= 9[/tex]
For n = 3:
[tex]a_{3} = 6 + (3-1)(3)[/tex]
[tex]= 6 + (2)(3)[/tex]
[tex]= 6 + 6[/tex]
[tex]= 12[/tex]
∴For n = 41:
[tex]a_{41} = 6 + (41 - 1)(3)[/tex]
[tex]= 6 + (40)(3)[/tex]
[tex]= 6 + 120[/tex]
[tex]= 126[/tex]
∴There will be 126 smiley faces in Step 41
Given the probability histogram pictured for a discrete random variable X, what is μx?
Histogram with x-axis labeled X with scale from 0 to 5, y-axis labeled P(X) with scale from 0 to 0.5 with five bars. Bar 1 height is 0.3, bar 2 height is 0.45, bar 3 height is 0.05, bar 4 height is 0.1, bar 5 height is 0.1.
1.5
1.85
2.1
2.25
2.5
Answer:
2.25
Step-by-step explanation:
Allison needs 13 inches of cloth for a sewing project, but the fabric store only sells the cloth by the centimeter. Since 1 inch is the same as 2.54 centimeters, how much cloth will Allison buy in centimeters?
Answer:
33.02 centimeters of cloth
Step-by-step explanation:
Since 1 inch is equal to 2.54 cemtimeters then all you need to do is multiply 13x2.54 and you have your answer of 33.02
What is the sum of the series sum from n equals 1 to infinity of negative 7 times three eighths to the n power question mark.
Answer:
-21/5
Step-by-step explanation:
The given series is:-7(3/8)^1 - 7(3/8)^2 - 7(3/8)^3 - ...
We can see that this is a geometric series with first term a = -7(3/8)^1 = -21/8 and common ratio r = 3/8.
The sum of an infinite geometric series with first term a and common ratio r (where |r| < 1) is given by:
sum = a/(1-r)
Substituting the values for a and r, we get:sum = (-21/8)/(1-3/8) = (-21/8)/(5/8) = -21/5Therefore, the sum of the given series is -21/5.
A political scientist takes a simple random sample of n = 140 registered voters in Maricopa County, AZ to determine the proportion of registered voters who consider themselves Democrats. Assume the (unknown) true proportion of registered voters who are Democrats is 46%.
Using percentage, the true proportion of registered voters who are Democrats is = 64.
What do you mean by percentage?
A percentage's denominator, often referred to as a ratio's or a fraction's, is always 100. Sam, for instance, would have gotten 30 out of a potential 100 points if his math test score had been 30%.
It is written as 30:100 in ratio form and 30/100 in fraction form. In this context, "%" is read as "percent" or "percentage" to represent a percentage.
In the question,
Sample size, n = 140.
Now 46% of the registered voters are Democrats.
Now the no. of registered voters =
46% of 140
= 46/100 × 140
= 6440/100
= 64.4
≈ 64
Therefore, 64 is the true proportion of registered voters who are Democrats.
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Translation: 4 left and 2 down
Answer: (2,0) = (-2,-2) (2,2) = (-2,0) (1,0) = (-3,-2) (0,2) = (-4,0)
Step-by-step explanation:
A youth bicycle wheel has a diameter of 20 inches. Darian can reach 3.5 revolutions per second riding down the big hill near his house. What is the approximate linear speed of Darian’s bicycle tire in miles per hour?
The formula for calculating the circumference of a circle (the distance around the circle) is:
C = πd, Where C denotes circumference, d denotes diameter and is a mathematical constant equal to 3.14.
Because the diameter of the bicycle wheel, in this case, is 20 inches, the circumference is:
C = d = 20 inches equals 62.8 inches
Darian covers the following distance per second at 3.5 revolutions per second:
62.8 inches = 220.4 inches distance = 3.5 C = 3.5
To convert this to miles per hour, we need to convert inches per second to miles per hour. Because there are 60 seconds in a minute and 60 minutes in an hour, the following are possible:
An hour has 60 X 60 = 3600 seconds.
There are also 12 inches in a foot and 5280 feet in a mile, so there are:
12 × 5280 = 63360 inches in a mile
Therefore, to convert inches per second to miles per hour, we can use the following conversion factor:
1 inch per second = (3600/63360) miles per hour
Multiplying both sides by the distance in inches per second gives:
distance in miles per hour = (distance in inches per second) × (3600/63360)
Plugging in the values we have calculated, we get:
distance in miles per hour = 220.4 inches per second × (3600/63360)
distance in miles per hour = 12.6 miles per hour (approximately)
Therefore, the approximate linear speed of Darian's bicycle tire is 12.6 miles per hour.
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