After reduced speed when race resumes the number of laps left are 6 2/3 laps.
What is the definition of speed?
The following is the definition of speed:
The rate with which the position of an item changes .
The ratio of distance travelled to time taken in travelling is known as speed. Speed is a scalar number because it has only one direction and no magnitude.
Formula for Speed
The speed formula is as follows:
s=d/t
Where,
s= speed in metres per second, d = distance travelled in metres, and t = time in seconds.
Now,
Total laps left for the lead car= 7 1/2
After race is paused or reduced speed for race until 5/6 of a lap
so only 1/6 of a lap had normal racing
so total lap left is 15/2-1+1/6
=45-6+1/6
=40/6
=20/3
=6 2/3
Hence,
when race resumes the number of laps left are 6 2/3 laps.
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randomization in an experiment is important because it ensures that
Point P divides segment AB in the ratio AP:PB = 3:10. Where is point P located?
P is located at the point (31/13, 44/13).
How to determine?
Let A and B be two points on a line segment, and let P be the point that divides AB in the ratio 3:10. We can find the coordinates of P as follows:
Suppose that the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2). Then the coordinates of P can be found using the following formula:
P = ( (10 * x1 + 3 * x2) / (10 + 3), (10 * y1 + 3 * y2) / (10 + 3) )
In other words, we add 10 parts of x-coordinates of A to 3 parts of x-coordinates of B, and divide by the sum of the parts (10 + 3 = 13) to get the x-coordinate of P. Similarly, we add 10 parts of y-coordinates of A to 3 parts of y-coordinates of B, and divide by the sum of the parts (10 + 3 = 13) to get the y-coordinate of P.
So if we know the coordinates of A and B, we can plug them into the formula above to find the coordinates of P.
For example, suppose that A has coordinates (1, 2) and B has coordinates (7, 8). Then the coordinates of P can be found as follows:
P = ( (10 * 1 + 3 * 7) / (10 + 3), (10 * 2 + 3 * 8) / (10 + 3) )
= ( (10 + 21) / 13, (20 + 24) / 13 )
= (31/13, 44/13)
Therefore, P is located at the point (31/13, 44/13).
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What is the conversion of 275 mm to inches ?
The conversion of 275 mm to inches is 10.8268 inches.
Millimeter (mm) and inch are both units of measurement used to express length or distance. Millimeter is a metric unit of length commonly used in the International System of Units (SI) and is equivalent to one-thousandth of a meter.
To convert 275 mm to inches, we can use the conversion factor of 1 inch = 25.4 mm.
So, we can divide 275 mm by 25.4 mm/inch to get the equivalent measurement in inches:
275 mm ÷ 25.4 mm/inch = 10.8268 inches (rounded to four decimal places)
Therefore, 275 mm is approximately equal to 10.8268 inches.
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What is the conversion of 32cm to inches ?
Answer:
12.598
Step-by-step explanation:
divide the length value by 2.54
How do you convert 313
yards to inches? Use the drop-down menus to explain your answer.
Since there are
inches in 1 yard, 3 1/3 by
.
So, 3 1/3
yards = inches.
Using the conversion factor, 3 1/3 yards is equal to 120 inches
To convert yards to inches, we need to know the conversion factor between these two units. One yard is equal to 36 inches.
Therefore, to convert 3 1/3 yards to inches, we can use the following steps:
Convert the whole number of yards to inches: 3 yards x 36 inches/yard = 108 inches
Convert the remaining fraction of a yard to inches: 1/3 yard x 36 inches/yard = 12 inches
Add the results of steps 1 and 2 to get the total number of inches: 108 inches + 12 inches = 120 inches
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Answer:
Since there are (12) inches in 1 yard (divide) 3 1/3 by (36)
so 3 1/3 yards = (16) inches.
Step-by-step explanation:
when you see ( ) it means it's the Answer
The article mentions that if you are owed a refund from the IRS, you won't be penalized if vou file your tax return late. However, why might you want to file your tax return on time?
To avoid unnecessary penalties, and stress and to get benefits from the government in time like financial aid we need to file tax returns on time.
what is Tax return:
The tax return is a process of reporting your income, expenses, and other financial information to the government for the purpose of calculating your tax liability.
It involves filling out a set of forms provided by a tax authority, such as the Internal Revenue Service (IRS) in the United States.
When you file a tax return, you report your income, deductions, and credits for the year. The tax authority uses this information to determine if you owe any taxes or if you are entitled to a refund.
There are several reasons why it is important to file your tax return on time and the following are some of them
Avoiding Late Filing Penalties, If you owe taxes to the IRS, The penalties for late filing can be as high as 5% of the unpaid taxes per month, up to a maximum of 25%.Claiming Refunds Sooner, the sooner you file your tax return, the sooner you can expect to receive your refund.Meeting Other Deadlines, Filing your tax return on time can also help you meet other important deadlines, such as deadlines for applying for financial aid or filing for bankruptcy.Avoiding Unnecessary Stress, By completing your tax return on time, you can avoid the stress of rushing to file at the last minute and potentially making mistakes.Therefore,
To avoid unnecessary penalties, and stress and to get benefits from the government in time like financial aid we need to file tax returns on time.
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oliver walked 3.7 kilometers during the two days he was at the fair. One the first day he walked 2.60 kilometers
more information needed.
In total he walked 6.3 kilometers, from the information you gave.
I really need help please it’s due tomorrow 10 points just tell me if I’m right or wrong and if I’m wrong pls tell me which one and tell me the answer
I can't see the questions, its very blurry. sorry
upload a better picture if you have
You’ve learned about function notation in previous lessons, but could you use function notation to add two functions? How do you think you could simplify f(x) + g(x) if f(x) = 3x + 2 and g(x) = 4x? What about a function of a function such as f(g(x))? How do you think f(g(x)) could be simplified? What situations can you think of where combining functions would be useful?
And yes, it's has to be explained in sentence, and has to be SIMPLIFY
We would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.
What is function ?
Function can be defined in which it relates an input to output.
To simplify f(x) + g(x) where f(x) = 3x + 2 and g(x) = 4x, we can simply add the two functions by adding their corresponding terms. Therefore, f(x) + g(x) = 3x + 2 + 4x = 7x + 2.
To simplify the function f(g(x)), we would first substitute g(x) into the expression for f(x) wherever x appears, giving f(g(x)) = 3(g(x)) + 2
Then, we would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.
Combining functions can be useful in many situations, such as in physics or engineering where multiple variables or parameters are involved in a single equation. It can also be useful in finance or economics where the behavior of multiple factors needs to be modeled in a single function.
Therefore, we would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.
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Can someone help me find the domain and range?
domain is x
range is y
domain is time
range is distance
domain is between 0 & 170 seconds
range is 0 & 60 meters
meters per seconds is like
miles per hour so
this graph is about SPEED !
speed is usually indicated by the graph's
SLOPE !
Select the correct answer. Four pairs of shapes are shown where pair 1 has two same L-shaped shapes, pair 2 as T-shaped shape with unequal height, pair 3 has two same triangles and pair 4 has two unequal triangles. Which pairs of polygons are congruent? A. pairs 1, 2, and 3 B. pairs 1, 2, 3, and 4 C. pairs 2 and 3 D. pairs 1 and 3
In reference to the given question, the pairs of polygons that are congruent is pairs 1 and 3. Hence, the correct answer is D, pairs 1 and 3.
What are congruent polygons?Congruent polygons are polygons that have the same size and shape.
Pair 1 has two same L-shaped shapes, which are not congruent to any other pair.
Pair 2 has two T-shaped shapes with unequal height, which are not congruent to any other pair.
Pair 3 has two same triangles, which are congruent to each other.
Pair 4 has two unequal triangles, which are not congruent to each other or to any other pair.
Therefore, the only pairs of polygons that are congruent are pair 3, which has two same triangles, and pair 1, which has two L-shaped shapes that are the same. So the correct answer is D, pairs 1 and 3.
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Please I need help as soon as possible thanks to anyone who answers
Formula:
(A+B/2)H
A=base
B=Base
H=height
A. 100 cm (i think not to sure about this one)
B. 174 cm
C. 240cm
Answer:
Step-by-step explanation:Formula:
(A+B/2)H
A=base
B=Base
H=height
A. 100 cm (i think not to sure about this one)
B. 174 cm
C. 240cm
what is longer 2.218 inches or 2.21 inches?
The first digit in both numbers is 2, so we can move to the next digit. In 2.218, the digit in the second decimal place is 2, while in 2.21, the digit in the second decimal place is 1. Since 2 is greater than 1, 2.218 is longer than 2.21.
Comparing the Length of Two Decimal NumbersWhen comparing the length of two decimal numbers, it's important to consider the value of each digit in the number. Let's take the example of 2.218 inches and 2.21 inches.
To begin, we can compare the first digit of each number, which is 2 in both cases. Since the first digit is the same, we need to look at the next digit to determine which number is longer. In 2.218, the second digit is 2, while in 2.21, the second digit is 1. The second digit in a decimal number represents the tenths place, so we can conclude that 2.218 is longer than 2.21.
It's important to note that this method of comparing decimal numbers applies to numbers with the same number of decimal places. If we were comparing 2.218 inches to 2.2 inches, for example, we wouldn't be able to simply look at the second digit. Instead, we would need to compare the numbers digit by digit, starting from the leftmost digit.
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Can someone help on where to put the numbers?
The domain is 0 ≤ x ≤ 52. The maximum number of lawns she can mow with 13 gallons is 52, and the minimum is 0 lawns.
What is a domain?In Mathematics, a domain is the set of all real numbers for which a particular function is defined.
In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = {0, 52}.
Range = {0, 13}.
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Arnold is 44. He plans to retire when he is 67. His new IRA has an APR of 2.75% compounded monthly. He deposits $850 to the account each month. How much will he have in the account when he retires?
Using compound interest Arnold will have $412,102.63 in his IRA when he retires at age 67.
To find out how much Arnold will have in his IRA when he retires at age 67, we can use the formula for the future value of an annuity:
FV = PMT × ([tex](1 + r/n)^{(n*t)}[/tex] - 1) / (r/n)
Where:
FV is the future value of the annuityPMT is the monthly paymentr is the annual interest rate as a decimaln is the number of times the interest is compounded per yeart is the number of yearsHere are the steps to solve the future value of Arnold's IRA:
Convert the annual interest rate to a monthly rate and express it as a decimal:
r = 2.75% / 12 = 0.00229167
Determine the number of compounding periods per year:
n = 12 (since the interest is compounded monthly)
Calculate the number of years until Arnold retires:
t = 67 - 44 = 23
Plug in the values into the formula and solve for FV:
FV = 850 × ([tex](1 + 0.00229167/12)^{(12 * 23)}[/tex] - 1) / (0.00229167/12)
FV = $412,102.63
Therefore, Arnold will have $412,102.63 in his IRA when he retires at age 67.
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what is square root of 1 2
The square of the expression 1/2 is given as the numeric value in the terms of the 0.7071.
The value that a number yields when multiplied by itself is known as the square root of the number. The square root is denoted by the radical sign. For example, 16 minus 4 is 16. The root symbol or radicals is another name for the radical symbol. If an integer is a perfect square, we can quickly determine its square root.
square root of the 1/2 = √1/2
We can use this rule for radicals to write the expression.
√a/b = √a/√b
So, by multiplying by the right form of 1, we may rationalise the denominator or, in other words, remove the radical from the denominator:
√1/2 x √2/√2
√2/2
1.4142/2
0.7071
So the square of the 1/2 is 0.7071.
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what is 210 lbs in kg?
210 lbs is approximately equal to 95.2544 kg ( rounded to four decimal places )
The conversion factor to convert lbs to kilogram is 0.453592
1 lbs = 0.453592 kg
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The mass in kg = The mass in lbs × conversion factor
Substitute the values in the equation
1 lbs = 0.453592 kg
210 lbs = 210 × 0.453592
Multiply the numbers
= 95.2544 kg ( rounded to four decimal places )
Therefore, 210 lbs is 95.2544 kg
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how to convert 200 mph in km?
200 mph is approximately equal to 321.86 km per hour ( rounded to two decimal places )
The conversion factor to convert mph to km per hour is 1.6093
1 mph = 1.6093 km per hour
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The speed in km per hour = The speed in mph × conversion factor
Substitute the values in the equation
1 mph = 1.6093 km per hour
200 mph = 1.6093 × 200
Multiply the numbers
= 321.86 km per hour ( rounded to two decimal places )
Therefore, 200 mph is 321.86 km
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8r^2 + 8 = 680
Solve by taking square roots
Answer: [tex]r=\Large\boxed{\pm 2\sqrt{21} }[/tex]
Step-by-step explanation:
Given equation
[tex]8r^2+8=680[/tex]
Subtract 8 on both sides
[tex]8r^2+8-8=680-8[/tex]
[tex]8r^2=672[/tex]
Divide 8 on both sides
[tex]8r^2\div8=672\div 8[/tex]
[tex]r^2=84[/tex]
Take square roots on both sides
[tex]r=\pm \sqrt{84}[/tex]
[tex]r=\Large\boxed{\pm 2\sqrt{21} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Whai is 100 days ago?
The date which is 100 days ago from 12 February 2023 is equal to
November 04, 2022 .
Ago represents the earlier than the given present time.Present date is equal to 12 February 2023.
Date which is 100 days is written as :
January month has 31 days.
December month has 31 days.
November month has 26 days.
Total days equal to :
( 31 + 31 + 26 + 12 ) days = 100 days
100 days ago from 12 February 2023 is equal to :
12 February 2023 minus 100 days is 04 days 2022.
Therefore, the day which is 100 days ago from 12 February 2023 is given by November 04, 2022 .
The above question is incomplete , the complete question :
What is 100 days ago from 12 February 2023 ?
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how many different triangles can you make if you are given the measurement for two angles and the length of a shared side?
We know that Angle-side-angle is one of the criterias to find congruent triangles, then with the given information we can make only one unique triangle.
How many different triangles can you make with the given values?Here we know two of the angles of a triangles and the length of the side between these two angles.
This can be written as an: Angle-Side-Angle.
Remember that this is one of the conditions for congruent triangles.
This means that A-S-A defines completely a single triangle, thus, there is only one triangle that we can make with that information.
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Help me please I need to turn this in
Answer: look at the image for the answer and explanation
Step-by-step explanation:
what is the greatest common factor of this equation
The greatest common factor of 30y⁸ +10y⁴ is 10y⁴
What is greatest common factor?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. GCF is often used to find common denominators.
The common factors of 30 are: 1,2,3,5,6,10,15,30
The common factors of 10 are : 1,2,5,10
therefore the greatest common factor is 10
The greatest common factor between y⁴ and y⁸;is y⁴
Therefore the greatest common factor of 30y⁸ +10y⁴ is 10y⁴ i.e 10y⁴(3y⁴+1)
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What is the conversion of 30g to oz ?
The converted value representing in grams and ounce is given by 30 grams is equal to 1.05822 ounce.
The grams and ounce are the unit which represents the standard units of mass.Conversion factor representing the relation between ounce and grams is given by :
28 grams equal to one ounce
Substitute the required grams value to be converted into ounce we have,
⇒ 28 grams = 1 ounce
⇒ 1gram = ( 1 / 28 ) ounce
⇒ 30 gram = ( 30 ) × ( 1 / 28 ) ounce
⇒ 30 gram = ( 1.05822 ) ounce
Therefore, the value after conversion grams into ounce is given by 30 gram = ( 1.05822 ) ounce .
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what is ounces per cup?
Ounces per cup is a measure of volume used in cooking; a standard measuring cup holds 8 fluid ounces.
Ounces per cup is a proportion of volume utilized in preparing and food planning. It alludes to the quantity of liquid ounces that can be held in a standard cup measure. In the US, a standard estimating cup holds 8 liquid ounces, so when somebody alludes to a specific number of ounces per cup, they are normally alluding to the number of liquid ounces that are expected to fill one cup.
Understanding ounces per cup is significant in cooking and baking, as recipes frequently call for fixings to be estimated in cups or liquid ounces. It is additionally essential to take note of that ounces per cup can change contingent upon the kind of fixing being estimated, as certain fixings have various densities or loads per volume.
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how do you defining a vector in matlab?
Answer:
Step-by-step explanation:
You can create a vector both by enclosing the elements in square brackets like v=[1 2 3 4 5] or using commas, like v=[1,2,3,4,5]. They mean the very same: a vector (matrix) of 1 row and 5 columns.
Jada earns twice as much money per hour as Diego. Diego earns twice as much money per hour as Lin.
Select all the graphs that could represent how much Jada, Diego, and Lin earn for different amounts of time worked.
The question is, "Jada earns twice as much money per hour as Diego. Diego earns twice as much money per hour as Lin. Select all the graphs that could represent how much Jada, Diego, and Lin earn for different amounts of time worked."
The graphs that could represent how much Jada, Diego, and Lin earn for different amounts of time worked are:
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Transcribed image text: Determine if the system has a nontrivial solution. Try to use as few row operations as possible. 4x1-6x2 + 13x3 = 0 ?4x1-10x2?x3 = 0 8x1+4x2 +14x3 = 0 Choose the correct answer below. A. It is impossible to determine. B. The system has only a trivial solution. C. The system has a nontrivial solution.
The given system of equations, option C. The system has a nontrivial solution.
When given a system of three equations with three unknowns, it is possible to determine if the system has a nontrivial solution by using row operations and Gaussian elimination. Nontrivial solutions are solutions that are not all 0.
In the given system of equations, the left-hand side of each equation consists of 3 variables, 4x₁-6x₂+13x₃, 4x₁-10x₂-x₃, and 8x₁+4x₂+14x₃. By performing row operations on the equations, the augmented matrix can be reduced to the form of the identity matrix.
The first row operation performed is to subtract the first row from the second row, resulting in
=> 4x₁-10x₂-x₃ = -2x₁-2x₂+13x₃.
The second row operation is to subtract twice the first row from the third row, resulting in
=> 8x₁+4x₂+14x₃ = 0.
The third row operation is to divide the second row by -2, resulting in
=> 4x₁-10x₂-x₃ = x₁+x₂-13x₃.
This reduced form of the augmented matrix can then be rearranged to the form of the identity matrix, indicating that the system of equations has a nontrivial solution.
Therefore, the answer to the question is that the system has a nontrivial solution
Hence the option (c) is correct.
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What are the measures of ∠ADC and ∠DCB in the figure?
please show how you got it and do not attach a file i can't open it du to some issuse
Therefore , the solution of the given problem of triangle comes out to be ∠ADC = 100 and ∠DCB = 39 Degree.
What does a triangle actually mean?Given that they have three quadrants or more, triangles are considered polygons. It has a straightforward geometric shape. The letters ABC form a right-angled triangle when put together. Euclidean geometry creates a new rectangle of square when the borders are incompatible. Given that they have three sides and three corners, triangles are categorised as polygons. The corners of a triangle are determined by where its three sides meet. The sum of the angles inside a triangle is 180 degrees.
Here,
Given :
A triangle ADC and Triangle DCB
To find the angle :∠ADC and ∠DCB in the figure
So,
Acc to triangle angle sum property:
43 + 3y + 7 + 2x + 17 = 180
Simplifying, we get:
2x + 3y + 67 = 180
Subtracting 67 from both sides, we get:
2x + 3y = 113
and
61 + 3y - 13 + 4x - 1 = 180
4x + 3y + 47 = 180
4x + 3y = 133
2x + 3y = 113
4x + 3y = 133
-4x - 6y = -226
Adding this to the second equation, we get:
-3y = -93
Dividing both sides by -3, we get:
y = 31
Substituting this value of y into either equation, we can solve for x:
2x + 3(31) = 113
2x + 93 = 113
2x = 20
x = 10
Therefore, the solution is x = 10, y = 31.
Thus,
∠ADC = 3(31) + 7 = 93 + 7 = 100
∠DCB = 4(10) -1 = 40 -1 =39
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what is the conversion value of 300 Fahrenheit in degrees Celsius ?
The value on conversion of 300 Fahrenheit to Celsius will be equal to 148.8 Celsius depending on the relation.
The temperature in degree celsius is calculated using the formula -
Celsius = 5/9 (F - 32)
Now we need to keep the value of fahrenheit in the formula where F represents Fahrenheit
Celsius = 5/9 (300 - 32)
Firstly solving the bracket where subtraction sign is present. So, performing the subtraction first.
Celsius = 5/9 × 268
Performing division and multiplication on Right Hand Side of the equation
Temperature in Celsius = 148.8
Therefore, the temperature in Celsius is 148.8.
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