The Click-O Pen Company produced a total of 7.2×106 pencils during those 4 years.
What is the arithmetic operations?
The basic arithmetic operations are the fundamental mathematical operations used in arithmetic, which include:
Addition: combining two or more numbers to find their total or sum.Subtraction: finding the difference between two numbers by subtracting one from the other.Multiplication: finding the product of two or more numbers, which is the result of repeated addition.Division: dividing a number into equal parts or groups.To find the total number of pencils produced by the Click-O Pen Company during the 4 years, we need to multiply the number of pencils produced each year by the number of years.
We are given that the company produced 1.8×106 pencils each year for 4 years. Therefore, the total number of pencils produced is:
1.8×106 pencils/year × 4 years = 7.2×106 pencils
Hence, the Click-O Pen Company produced a total of 7.2×106 pencils during those 4 years.
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Answer:
The Click-O Pen Company produced 1.8 x 10^6 pencils each year for 4 years.
To find the total number of pencils produced during those 4 years, we need to multiply the number of pencils produced per year by the number of years:
Total number of pencils produced = (1.8 x 10^6) x 4
= 7.2 x 10^6
Therefore, the Click-O Pen Company produced a total of 7.2 million pencils during those 4 years.
Step-by-step explanation:
Start by identifying the number of pencils produced each year by the Click-O Pen Company. According to the problem statement, the company produced 1.8 x 106 pencils per year.
Next, determine how many years the company produced pencils for. In this case, we know that the company produced pencils for 4 years.
To calculate the total number of pencils produced during those 4 years, we need to multiply the number of pencils produced per year by the number of years. This gives us:
Total number of pencils = 1.8 x 106 pencils/year x 4 years
We can simplify this expression by multiplying 1.8 x 4 to get:
Total number of pencils = 7.2 x 106 pencils
Therefore, the Click-O Pen Company produced a total of 7.2 x 106 pencils during the 4-year period.
what is -22 x -5 someone please helpppp
Answer:
110
Step-by-step explanation:
A desk is on sale for $224 which is 65% less than the regular price ,what is the regular price 
Answer: $640
Step-by-step explanation:
100%-65%=35%
$224/35%=6.4
6.4*100%=$640
To check the solution
$640*65%=$416
$224+$416=$640
how many sundays in a year
Usually there are 52 Sundays in a year approximately.
There are a total of 52 weeks in a year if we take a rough estimate.
Every week has one sunday in it. So, going by this logic, each year will have about 52 sundays in it.
Now, one thing that we should notice here is that is not certain that there will be definitely 52 sundays. This number of 52 can increase also by a number of one or two because it is possible that the year might not starting from sunday. Because when we do 365/7 we get 52.14 so, this decimal place might include one or two Sundays in it.
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how to convert 3 8 to decimal?
The decimal value of the 38 percentage is 0.38
The percentage is defined as the ratio that represent the fraction of 100. The percentage can be represented by the sign %.
To convert a percentage to a decimal, you need to divide the percentage by 100.
Here the percentage value is 38. So to convert to decimal we have to divide the given number by the number 100.
To convert 38% to decimal, you would perform the following calculation:
= 38 ÷ 100
Divide the number and find the decimal number
=38 / 100
= 0.38
Therefore, 38% as a decimal is 0.38.
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The given question is incomplete, the complete question is:
How to convert 38% to decimal ?
How to convert 750 ml is how many ounces?
The value of volume 750 ml after converting to ounces is 25.36 ounces.
To convert 750 ml to ounces, we need to use a conversion factor. Knowing how to convert between ml and oz can help you accurately measure and mix ingredients for cooking, baking, or creating cocktails.
One fluid ounce is equal to 29.5735 milliliters. Therefore, we can multiply 750 ml by the conversion factor of 1/29.5735 to get the equivalent amount in ounces.
750 ml x (1/29.5735) = 25.36 oz
So, 750 ml is equal to 25.36 ounces.
This is a common conversion that you may encounter when dealing with liquids, especially in the United States, where ounces are the standard unit of measurement for volume.
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An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.
P(high-quality oil)=0.45
p(medium-quality oil)=0.15
p(no oil)=0.40
a. What is the probability of finding oil (to 2 decimals)?
b. After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are given below.
a. The probability of finding oil is 0.45
b. The probability of finding high-quality oil is 0.25
c. P(medium quality oil) = 0.20
d. P(no oil) = 0.55
How to solve thisThe probabilty of finding oil
P(oil) = P(high quality oil) + P(medium quality oil)
= 0.25 + 0.20
= 0.45
b. P(soil high quality oil) = 0.20
P(medium qty) = 0.80
P(no oil) = 0.20
The probability of finding oil is good.
Given the probability of finding good soil, the oil company is more likely to find medium quality oil.
The new probability of finding oil is
P(High quality) + P(medium quality) =
0.15625 + 0.5
= 0.65625
Using the conditional probabilty formula
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Working out must be seen clearly and correctly
The number of days when there were at least 40 children in the park is 5 days.
How to find the number days ?To find the number of days that saw at least 40 children in the park, check the instances when there were either 40 children or more in the park.
Given the stem and leaf plot, the children in the park on days when there were more than 40 children or 40 children was:
48 children 49 children 52 children 53 children 56 childrenThe number of days is therefore 5 days.
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HELP Given: △ABC is a right triangle, with
a right angle at.
Prove:
By using the Pythagoras theorem, AC + AD = BC is proved.
The relationship between the sides of a triangle can be proven using the properties of triangles.
Let us denote the length of AC as a and the length of AD as b. Since the triangle is right angled at A, the lengths of its sides must adhere to the Pythagorean theorem, that is a² + b² = (AB)². Additionally, since the bisector of ∠ C intersects the side AB at D, the length of AC must equal the length of AD, that is a = b.
Using the two equations above, we can substitute b for a in the equation a² + b² = (AB)² and solve for a. This results in a = AB/2. Substituting a for AB/2, we get
=> (AB/2)² + b² = (AB)².
Finally, multiplying by 2, we can get AB + 2b² = 2(AB)², which can be simplified to AB + 2b² = 2a².
Since a = b, this can be simplified to
=> AB + 2b² = 4b²,
resulting in AB = 2b².
Therefore, AC + AD = AB = 2b² = 2(AC) = BC, proving that the statement AC + AD = BC holds true for any right triangle right angled at A such that AB = AC and the bisector of ∠ C intersects the side AB at D
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Complete Question:
△ ABC is a right triangle right angled at A such that AB = AC and bisector of ∠ C intersects the side AB at D. Prove that AC + AD = BC.
what is 1/2 cup butter?
As per weight measurement, half cup of butter is equal to 113 grams or eight tablespoons of butter. In ounces it is actually 4oz.
An object's weight serves as a gauge for its weight. Weight is expressed in common units of measurement. The weight of an object can be measured with tools using the gram and kilogram. The metric system that is universally accepted as a reference for measurements is called the International System of Units. The kilogram is the SI unit for mass or weight.
A common unit of measurement for cooking volume is the cup, which is used to determine serving and cooking sizes. Normal conversion: 1 cup = 8 liquid ounces = 1/2 pint. 16 fluid ounces divided by 2 cups equals one pint. 4 cups are equivalent to 32 fluid ounces, 2 pints, and 1 quart. 8 cups equal 64 fluid ounces, or 4 pints.
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Megan increases 600 by 10%.
She then decreases the result by 10%
What is her final number?
Answer:
Her final number is 594.
Step-by-step explanation:
Increase 600 by !0%:
0.1 * 600 = 60
600 + 60 = 660
Decrease result by 10%:
0.1 * 660 = 66
660 - 66 = 594
The vertices of a rectangle are at (−4, 2), (3, 2), (3, −2), and (−4, −2).
What is the length of the longer side of the rectangle?
Answer:
7 units
Step-by-step explanation:
You want the length of the longer side of the rectangle defined by the coordinates (−4, 2), (3, 2), (3, −2), and (−4, −2).
Side lengthWhen you plot the points, or simply consider the coordinates, you see the sides of the rectangle are vertical and horizontal line segments.
The length of a vertical segment is the difference of its endpoint y-coordinates:
2 -(-2) = 4
The length of a horizontal segment is the difference of the x-coordinates of its endpoints:
3 -(-4) = 7
The longer side is 7 units long.
Rob put some money in an investment account. He uses the function V(t)=480(1.065)t to model the total value of the account, in dollars, after t years. What does the number 480 represent?
The initial value of the investment is denoted by 480 in the function.
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
V(t) = 480 [tex](1.065)^t[/tex]
V is the total value after t years.
Now,
480 is constant and it indicates the initial value of the investment.
1.065 indicates that there is an increase of 6.5% each year.
Thus,
480 in the function denotes the initial value of the investment.
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An electronics store sells used game consoles for $79.00 and new ones for $149. After two weeks the store made a profit of $1,456 by selling 14 to total game consoles. How many of each type of console were sold?
The number of used games consoles is 9 and the number of new game consoles is 5
Finding the numbers of each game:Here we use the Linear equation method to solve the problem. Since we don't know the number games, represent them with variables x and y.
Now for two linear equations according to the conditions as given in the problem. Solve the equations for the values of both x and y by using the substitution method.
Here we have
An electronics store sells used game consoles for $79.00 and new ones for $149.00
Let 'x' and 'y' be the number of used and new game consoles respectively
Cost of 'x' used games consoles = 79x
Cost of 'y' new game consoles = 149y
Given total profit =$ 1456
=> 79x + 149y = 1456 ----- (1)
The total number of game consoles = 14
=> x + y = 14
=> x = 14 - y ---- (2)
Substitute (2) in (1)
=> 79(14 - y) + 149y = 1456
=> 1104 - 79y + 149y = 1456
=> 70y = 350
=> y = 5
From (2) => x = 14 - 5 = 9
Therefore,
The number of used games consoles is 9 and the number of new game consoles is 5
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what is 10mm to inch?
The value of millimeter in elevation can be calculated by simply dividing the millimeter by25.4 so 10 mm is0.394 elevation.
Unit conversion is the process of rephrasing the dimension of a given quantum between different units, constantly through multiplicative conversion factors that change the value of the measured volume without changing its goods.
Converting from millimetres to elevation
Between millimetres( mm) and elevation( in)
computation of elevation( dec) in elevation( frac) in bases plus Inches ft mm to elevation
* The value is rounded to the nearest1/64 bit for the elevation bit.
How to change metric units to elevation
elevation are equal to0.03937007874 millimetres in length
1 mm = (1/25.4) ″ = 0.03937007874 ″
The distance d in millimetres( mm) divided by25.4 gives the distance d in elevation( ′ ′)
d( ″) = d( mm)/25.4
illustration of 20 mm converted to elevation
d( ″) = 20 mm/25.4 = 0.7874 ″
How numerous millimetres are in one inch
elevation are equal to one millimetre
1 mm = 1 mm/25.4 mm/ in
= 0.03937 in.
What's the millimetre to inch conversion
millimetres make up one inch.
1 inch Equals 25.4 millimetres per inch.
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If you have 2 moles of marbles how many marbles do you have
If the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would have 2 marbles.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
The number of marbles you have will depend on the total mass of the marbles, as the number of moles is a measure of the amount of substance (in this case, marbles) rather than the actual number of marbles.
To calculate the number of marbles, you would need to know the mass of one marble, and then divide the total mass of the marbles by the mass of one marble.
For example, if the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would first calculate the total mass:
mass = number of moles x molar mass
where the molar mass of a single marble is equal to its mass in grams, and the number of moles is given as 2:
mass = 2 moles x 5 grams/mole = 10 grams
Then, you can calculate the number of marbles by dividing the total mass by the mass of one marble:
number of marbles = total mass / mass of one marble
number of marbles = 10 grams / 5 grams/marble = 2 marbles
Therefore, if the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would have 2 marbles.
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Express tan V as a fraction in simplest terms.
U
21
T
35
The value of tan V as a fraction in simplest terms is 4/3
How to express tan V as a fraction in simplest terms.From the question, we have the following parameters that can be used in our computation:
The triangle
From the triangle, we have the following readings
Opposite of V = √(35² - 21²) = 28
Adjacent of V = 21
The formula for tan V is then calculated as
tan V = Opposite /Adjacent
Substitute the known values in the above equation, so, we have the following representation
tan V = 28/21
Simplify
tan V = 4/3
Hence, the solution is 4/3
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What is the conversion of 350 ml to oz ?
The value of 350 milliliters to ounce after conversion the unit is equal to 11.8349 ounce.
Milliliters and ounce are the units which help us measure the volume of the things.Formula used to convert milliliters to ounce is written as:
One milliliter is equal to 0.033814 fluid ounce .
Now substitute the value 350 milliliters to convert into ounce we get,
⇒ 350 milliliters = ( 350 ) × ( 0.033814 ) fluid ounce
⇒ 350 milliliters = ( 11.8349 ) fluid ounce
Therefore, the converted value of the milliliters to ounce for 350 milliliters is equal to ( 11.8349 ) fluid ounce.
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PLS ANSWER QUICKLY!!!! ILL GIVE BRAINLEST AND 50 POINTS!!!!!
Make sure to find the missing angle measure AND the 2 missing side lengths.
Answer:
we can assume that m = 90% cause the square so the we know that all the angles add up to 180° so ad 30 +90 and then subtract you sum from 180 and that is the angle of x
Nominal measurement is used primarily to:
a. rank order data.
b. both "name or categorize data" and "rank order data" are correct.
c. none of these answers is correct.
d. name or categorize data.
Option D. Nominal measurement is used primarily to name or categorical data.
Nominal measurement is one of the four levels of measurement used in statistics, along with ordinal, interval, and ratio measurement. Nominal data are qualitative or categorical data that can be assigned to discrete categories based on some characteristic or attribute, such as color, gender, or species. Nominal data do not have a natural ordering, so they cannot be ranked or ordered based on magnitude or size.
Nominal measurement is a type of measurement in which data are named or categorized based on some characteristic or attribute. Nominal data are typically qualitative or categorical in nature, meaning that they are not numerical in value. Examples of nominal data include gender, race, religion, color, or type of animal.
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according to the paragraph, some people prefer to step away from ____________. More time allow them to _____ their next action.
please i need it asp!!!!!
According to the paragraph, some people prefer to step away from conflict for the meantime. More time allows them to contemplate their next action.
What is Conflict?Conflicts result from conflicts of interest, viewpoints, or even philosophical concepts. The basis of conflict can be personal, racial, class, caste, political, or even international, thus it will always exist in society.
The scenario in the picture shows how people react or respond to conflict and some people prefer to talk about it right away, while some people prefer to give it some time.
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Teri has a living room that is 9 feet wide and has an area of 108 square feet. She is adding on to the room, as shown in the diagram below.
The remodeled living room will have a total area of 180 square feet. What is the length of the addition?
Area & Surface Area
The length of the addition to the room will be 8 feet.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that Teri has a living room that is 9 feet wide and has an area of 108 square feet. She is adding to the room. The remodelled living room will have a total area of 180 square feet.
The added length will be calculated as:-
TA = A₁ + A₂
180 = 108 + 9x
72 = 9x
x = 72 / 9
x = 8 feet
Therefore, the length of the room addition will be 8 feet.
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Ashley and Gina took off from the same spot at the same time and headed in the same direction. if Ashley travels at 20 mph and Gina travels at 14 mph, how many hours will it be before Ashley is 9 miles ahead of Gina? Write the answer as a decimal
Answer:
It will take Ashley 3 hours to be 9 miles ahead of Gina, since she is traveling 6 mph faster. This can be calculated by dividing 9 miles by 6 mph to get 1.5 hours. Therefore, the answer is 1.5 hours, or 1.5 as a decimal.
What is the conversion of 64kg in pounds?
The conversion of 64kg in pounds is equivalent to approximately 141.09568 pounds.
The kilogram (kg) is the SI unit of mass. It is equal to the mass of the international prototype of the kilogram. This prototype is a platinum-iridium international prototype kept at the International Bureau of Weights and Measures. One kg is approximately equal to 2.20462262184878 pounds.One pound, the international avoirdupois pound, is legally defined as exactly 0.45359237 kilograms.
To convert 64 kilograms to pounds, you can use the conversion factor of 1 kilogram = 2.20462 pounds.
Therefore,64 kilograms = 64 x 2.20462 pounds
= 141.09568 pounds (rounded to 5 decimal places)
So, 64 kilograms is equivalent to approximately 141.09568 pounds.
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You and your friends decide to rent some studio time to make a CD. Big Notes Studio rents for $100 plus $60 per hour. Great Sounds Studio rents for $25 plus $80 per hour. Determine the number of hours for which the cost of 1 Step renting the studios is the same. Work needs to be showed btw
The solution is found by slope of the graph and the solution is 2,200.
Let x the amount of money per hour and y the total amount of money.
Studio A:-
Rents for 100 dollars plus 50 dollars per hour.
[tex]y= 100 + 50x[/tex]
So the slope is 50 and the y intercept is 100.
Studio B:-
rents for 50 dollars plus 75 dollars per hour.
[tex]y= 50 + 75x[/tex]
So the slope is 75 and the y intercept is 50.
ThrTh solution is 2200 , see the gragraphph.
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Complete question:- You and your friends decide to rent some studio time to make a CD. Big Notes Studio rents for $100 plus $50 per hour. Great Sounds Studio rents for $50 plus $75 per hour. Solve the system by graphic method.
Figured y’all could use some points :)
Answer:thxx
Step-by-step explanation:
Khan Academy Mariah works at a zoo. She was looking at some data showing the masses of their 5 African elephants. The mean mass of the elephants was 3,800 kg, and the median mass was 3,600 kg. The heaviest elephant, named Omar, was recorded as 6,000 kg. Mariah found out that Omar's mass was recorded incorrectly, and that Omar actually weighed 7,000 kg. How will Omar's mass increasing affect the mean and median? Choose I answer: B D Donate davidr09029 Both the mean and median will increase. The mean will stay the same, and the median will increase. The mean will increase, and the median will decrease. The mean will increase, and the median will stay the same. Start over 14 of 17 ✓
The correct statement regarding the impact of the mass increase in the mean and median are given as follows:
The mean will increase, and the median will stay the same.
How to obtain the mean and the median of a data-set?The mean of a data-set is given by the sum of all the observations in the data-set divided by the number of observations in the data-set.
Hence, if one observation is increased, the sum of all the observations also increases, and thus the mean of the data-set increases.
The median of a data-set is the middle value of the data-set, the value which 50% of the measures are less than and 50% are greater than.
The data-set in this problem has an odd cardinality of 5, meaning that the median is the third element of the data-set, which is not affected by the weight of the heaviest elevant, and thus the median remains constant.
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select all expressions that represent a correct solution to the equation 6(x+4)=20
The expression represents a correct solution to the equation 6(x+4)= 20 is x= -2/3
We know, that the equation is:
6(x+4)=20
6x + 24 = 20
Now, Subtract 24 from both sides
6x + 24 = 20
6x + 24-24 = 20-24
Simplify the expression in the equation
6x + 24-24 = 20-40
6x=-4
Divide both sides by the same factor
6x=-4
6x/6 =-4/6
Simplify the expression
Cancels numbers that are both numerators and denominators X=-4/6 X=-2/3
Therefore, the correct solution to the equation is x=-2/3
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Solve the system of differential equations using eigenvectors
also find the eigenvalues and eigenvectors (they are all real) of the coefficient matrix and write the general solution
x'(t) = 3x(t) + y(t)
y'(t) = x(t) + 3y(t)
The eigenvalues are λ₁= 2 and λ₂=4. The eigenvectors are [tex]\vec{v_1}=\left[\begin{array}{c}-1\\1\end{array}\right][/tex] and [tex]\vec{v_2}=\left[\begin{array}{c}1\\1\end{array}\right][/tex]. The general solution is [tex]\begin{aligned}x(t)&=-C_1e^{2t}+C_2e^{4t}\\y(t)&=C_1e^{2t}+C_2e^{4t}\end{aligned}[/tex].
An eigenvector is considered as a non-zero vector x of matrix A such that Ax=λx. This scalar (λ) is the eigenvalue.
Given the equations are x'(t) = 3x(t) + y(t) and y'(t) = x(t) + 3y(t). Now, let's write them in the matrix form as follows,
[tex]\begin{aligned}\left[\begin{array}{c}x'\\y'\end{array}\right] &=\left[\begin{array}{cc}3&1\\1&3\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]\\X'&=AX\end{aligned}[/tex]
From, the above expression, the coefficient matrix A is written as [tex]A=\left[\begin{array}{cc}3&1\\1&3\end{array}\right][/tex].
Now let's write the characteristic equation |A-λI|=0 as follows,
[tex]\begin{aligned}\left|\begin{array}{cc}3-\lambda&1\\1&3-\lambda\end{array}\right|&=0\\\lambda^2-6\lambda+8&=0\end{aligned}[/tex]
Solving the above equation, we get λ₁= 2 and λ₂=4.
For λ₁= 2, we obtain the eigenvector as follows,
[tex]\left[\begin{array}{cc}3&1\\1&3\end{array}\right]\left[\begin{array}{c}x_1\\x_2\end{array}\right]=\left[\begin{array}{c}2x_1\\2x_2\end{array}\right][/tex].
From this, the equations are written as 3x₁+x₂=2x₁ and x₁+3x₂=2x₂. Solving we get, x₁=-x₂ and x₂=x₂. Then, the eigenvector is written as[tex]\vec{v_1}=\left[\begin{array}{c}-1\\1\end{array}\right][/tex].
For λ₂=4, we obtain the eigenvector as follows,
[tex]\left[\begin{array}{cc}3&1\\1&3\end{array}\right]\left[\begin{array}{c}x_1\\x_2\end{array}\right]=\left[\begin{array}{c}4x_1\\4x_2\end{array}\right][/tex].
From this, the equations are written as 3x₁+x₂=4x₁ and x₁+3x₂=4x₂. Solving we get, x₁=x₂ and x₂=x₂. Then, the eigenvector is written as[tex]\vec{v_2}=\left[\begin{array}{c}1\\1\end{array}\right][/tex].
Then, the general solution is,
[tex]\begin{aligned}X(t)&=C_1e^{\lambda_1t}\vec{v_1}+C_2e^{\lambda_2t}\vec{v_2}\\ \left[\begin{array}{c}x\\y\end{array}\right]& =C_1e^{2t}\left[\begin{array}{c}-1\\1\end{array}\right] +C_2e^{4t}\left[\begin{array}{c}1\\1\end{array}\right] \end{aligned}[/tex]
And, the component-wise, the general solution is written as
[tex]\begin{aligned}x(t)&=-C_1e^{2t}+C_2e^{4t}\\y(t)&=C_1e^{2t}+C_2e^{4t}\end{aligned}[/tex]
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how to convert microliter to ml
Answer:
1 Microliter = 0.001 Milliliter
Step-by-step explanation:
What are units?A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.
Converting these units:
1 Microliter = 0.001 Milliliter1 Milliliter = 1,000 MicroliterTherefore, for every 1 microliter it is equivalent to 0.001 Milliliter.
After a discount, the marked price of an article is 48$. Calculate the original price if a 20% discount was given
The original price of the article without the discount is %60.
What is discount?Discount is the state of having a bond's price lower than its face value. The difference between the purchase price and the item's par value is the discount.
Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods.
Let us suppose original price = x.
Given that, after a discount, the marked price of an article is 48$ and the discount is 20%.
Thus,
48 = x(1 - 20/100)
48 = x(80/100)
x = 60
Hence, the original price of the article without the discount is %60.
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