x equals one
3/2+1/2x=2x
3/2+1/2=2x
2=2x
1=x
Answer:
2 = x
Step-by-step explanation:
3/2 + 1/2 times x = 2x
x by itself = 1x
Subtract 1x
3/2 + 1/2 times 1x - 1x = 2x -1x =
3/2 + 1/2 = 1x
3/2 + 1/2 = 4/2 = 2
2 = 1x
1x/1 = x
2/1 = 2
2 = x
One result of economic arowth during the Song period was urbanization, which means
Choose...
-advances in farming.
-increase in trade.
-use of money.
-growth of cities.
The correct answer is "growth of cities."
What is urbanization?
Urbanization is the process by which an increasing proportion of the population in a country or region moves from rural areas to cities or urban areas. This is usually accompanied by a growth in the size and number of cities and towns, as well as changes in the way people live and work.
The correct answer is "growth of cities." Urbanization refers to the process by which more and more people live in cities or urban areas, rather than in rural areas. During the Song period in China (960-1279 AD), there was significant economic growth, which led to increased trade, technological advancements in farming, and the widespread use of money. As a result, more people were able to move to cities, which grew in size and complexity. Urbanization was an important aspect of the economic, social, and cultural changes that occurred during the Song period, and it helped to shape the development of Chinese society in subsequent centuries.
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What is the difference between a discrete function and a continuous function? Give examples of both
A discrete function is defined on distinct values, while a continuous function is defined on a continuous interval. Discrete functions consist of isolated points, while continuous functions can take on any value within a given range.
The main difference between a discrete function and a continuous function lies in the nature of their domains and ranges. A discrete function is defined on a set of distinct, separate values, while a continuous function is defined on a continuous interval or range of values.
A discrete function can be thought of as a function that consists of isolated points. For example, let's consider a function that represents the number of students in a classroom over the years. The domain of this function would be the set of discrete values representing each year, such as {2010, 2011, 2012, ...}. The range would be the set of corresponding numbers representing the number of students in the classroom each year.
On the other hand, a continuous function is one that can take on any value within a given interval. For instance, consider a function that represents the temperature in a room over time. The domain of this function would be a continuous interval, such as [0, 24] representing the 24-hour day. The range would be the set of possible temperature values within that interval.
To summarize, a discrete function is defined on distinct values, while a continuous function is defined on a continuous interval. Discrete functions consist of isolated points, while continuous functions can take on any value within a given range.
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Reversing the Order of Integration In Exercises 33–46, sketch the region of integration and write an equivalent double integral with the order of integration reversed. 1 4-2x 33. Dy dx. 0 dx dy y-2 O. S. DIT , 1-x?
The locale of integration is the triangular locale bounded by the lines x = 0, y = 1-x, and y = 2. To switch the arrangement of integration, we have to express the limits of integration as capacities of y rather than x. From the equation of the line y = 1-x, we will illuminate for x to urge x = 1-y.
From the condition of the line y = 2, we see that the greatest esteem of y is 2. The least esteem of y is 0, which is the y-coordinate of the point where the line x = crosses the line y = 1-x.
Hence, the comparable twofold indispensably with the arrangement of integration turned around is:
∫ from y = to y = 2 ∫ from x = to x = 1-y
\( \frac{dy}{dx} \frac{ (y-2)}{ (1-4x+2x^2)}\)
Note that the integrand is the same as within the unique necessarily, but that we have communicated y-2 and \(1-4x+2x^2\) as capacities of y rather than x.
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HELP ASPPP PLEASESSSSS
Answer: I think the answer is 4.
Step-by-step explanation:
I am not sure because i am just in 5th grade (10) so might be wrong and i am so sorry if its wrong.
suppose that five microchips in a production run of fifty are defective. a sample of seven is to be selected to be checked for defects. (a) how many different samples of seven can be chosen from the production run of fifty? (b) how many samples will contain at least one defective chip? the set of samples that do not contain any defective chips and the set of samples that contain at least one defective chip are ---select--- sets. so, the number of samples with at least one defective chip is . (c) what is the probability (as a percent) that a randomly chosen sample of seven contains at least one defective chip? (round your answer to one decimal place.) %
The answer to following parts are and this can be solved by using probability.
a) 15,890,700 different samples can be chosen
b) 6,523,881 will contain at least one defective chip
c) 41.1%
What is probability?
A probability is the number of desired outcomes divided by the number of total outcomes.
Main body:
The order in which the microchips are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
Cₙ,ₓ is the number of different combinations of x objects from a set of n elements, given by the following formula.
Cₙ,ₓ =\(\frac{ n!}{x!(n-x)!}\)
(a) How many different samples can be chosen?
Samples of 6 from a set of 50.
Then
C₅₀,₆ = \(\frac{50!}{6!(50-6)!}\) =15,890,700
15,890,700 different samples can be chosen
(b) How many samples will contain at least one defective chip?
Either a sample contains no defective chip, or it contains at least one. From a), the sum of them is 15890700.
Then
No defective chips:
Four are defective.
So 50-4 = 46 are not.
This is samples of 6 from a set of 46.
C₄₆,₆ = 46!/6!*40!
9,366,819 samples contain no defective chips.
At least one:
9366819 + n = 15890700
n = 6523881
6,523,881 will contain at least one defective chip
(c) What is the probability (as a percent) that a randomly chosen sample of six contains at least one defective chip
6,523,881 out of 15,890,700
6,523,881/15,890,700 = 0.411
As a percent
41.1%
Hence the answer are as follows.
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A model car is constructed with a scale of 1:15. If the actual car is 12 feet long, which proportion represents the length x of the model car?
The length of the model car based on the information is 0.8 feet.
What is scale?It should be noted that scale simply shows the relationship between a measurement on a model as well as the corresponding measurement on the actual object.
From the information, the model car is constructed with a scale of 1:15.
When the actual car is 12 feet long, the length of the model will be illustrated as x. This will be:
= 1/15 = x / 12
Cross multiply
15x = 1 × 12
15x = 12
Divide
x = 12 / 15
x = 0.8
The length is 0.8 feet.
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The length of a rectangle is 1yd more than twice the width and the area of a rectangle is 45y squared. Find the dimensions of the rectangle
Answer:(2x+1)x=45
x=4.5
4.5*2+1=10
Step-by-step explanation:
Determine the relationship between the two triangles and whether or not they ca
proven to be
can be
congruent.
Answer:
They are congruent.
Step-by-step explanation:
The have the same side length, as shown by the marking on the side next to the double marked angle and across from single marked angle. They have the same angle measures located in the same places as well. They are congruent as proven by shape, angle measures, and side length.
helpI've been trying forever to answer this
Answer:
D
Step-by-step explanation:
go to desmos graphing calculator and insert the point and equation and you will see
∠1 and ∠2 are supplementary. m∠1=124°m∠2=(2x 4)° what is the value of x? select from the drop-down menu to correctly answer the question. x = choose...
For the two supplementary angles given, the value of x is 30. Two angles are called supplementary when their measures add up to 180 degrees.
If two angles are supplementary, their sum must equal 180 degrees. Supplementary angles are double of complementary angles. So if m∠1=124° and
m∠2=(2x - 4)°, we can set up the equation:
124 + (2x - 4) = 180
Solving for x, we can isolate x by subtracting 124 from both sides:
2x - 4 = 56
Adding 4 to both sides:
2x = 60
Finally, dividing both sides by 2:
x = 30
So the value of x is 30
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Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the first year Mark will have made $65,000. What is the explicit function that represents Mark's salary?
Answer:
65000(1.02)^n.
Step-by-step explanation:
Salary = 65000(1.02)^n where n is the number of years he has worked for the company.
So after one year he earns $6500* 1.02 and after 2 years $65000 * 1.02^2.
The exponential function represents Mark's salary is \(65000(1.02)^n.\)
What is an exponential function?The mathematical expression f(x)=exp or e^x denotes the exponential function.
The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
Given that Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so its employees' salaries keep up with inflation. At the end of the first year, Mark will have made $65,000.
The exponential function for the salary will be written as:-
\(Salary = 65000(1.02)^n\)
where n is the number of years he has worked for the company.
So after one year, he earns $6500 x 1.02, and after 2 years $65000 x 1.02².
Therefore, the exponential function represents Mark's salary is \(65000(1.02)^n.\)
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calculate the perimiter of a regular pentagon with side length of 5 cm
Answer:
Regular pentagon
Solve for perimeter
P=25cm
a Side
5
cm
the measures of a pair of supplementary angles are in the ratio of $7:2$. how many degrees are in the measure of their positive difference?
Answer:
100°
Step-by-step explanation:
You have two supplementary angles in the ratio 7:2, and you want the measure of their positive difference.
Ratio unitsThe sum of supplementary angles is 180°. The sum of the ratio units in the ratio 7:2 is 7+2 = 9, so each ratio unit must stand for 180°/9 = 20°.
The difference in ratio units is 7 -2 = 5, so the difference in the angles will be 5·20° = 100°.
The measure of their difference is 100°.
__
Additional comment
The two angles are 7·20° = 140°, and 2·20° = 40°. The difference is 140° -40° = 100°.
What is the recursive formula of the arithmetic sequence 0,11,22,33,
Answer:
f(1)=0
f(x+1)=f(x)+11
What is the area of the shaded region?
20 in
9 in
9 in
square inches
20 ir
The area of the shaded region is 319 square inches in the squares.
The area of larger square
The side length of the square which is larger is 20 in
Area of square = side ×side
=20×20
=400 square inches
The side length of the square which is smaller is 9 in
Area of square =9×9
=81 square inches
To find the area of shaded region we have to find the difference between two squares
Difference=400-81
=319 square inches
Hence, the area of the shaded region is 319 square inches in the figure which has squares.
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Russell is eating at a restaurant. His total bill comes to $44.85. If Russell decides to leave a tip that is approximately 20% of the total bill, how much should he leave for the tip?
Answer:
around $9.0
Step-by-step explanation:
10% of 44 is 4.4 so if you multiply 4.4 by 2 that would be the same a 20% and 4.4 times 2 is $8.80 then I just rounded up to $9
The set of elements common to both (- ∞, 2) and (- ∞, 4) is .This represents the of these intervalsSecond drop bar choices are union, sum, product, complement, intersection
STEP - BY - STEP EXPLANATION
What to do?
Fill in the blank space.
Given:
Elements common to both (-∞, 2) and (-∞, 4) are also known as the intersection of the two sets.
Observe that all integers from -∞ to 2 are both common in the two sets. However, 3 and 4 are not common as they are elements contained only in the second set and not in the first set.
ANSWER
The set of common element to both ( -∞ , 2) and ( -∞ , 4) is ( -∞ , 2)
This represents intersection of these intervals.
The length of a rectangle i 2cm greater than the width of the rectangle. The perimeter of the rectangle i 24cm
The length of the rectangle is 7 cm and the width is 5 cm.
Perimeter of a rectangle:The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.
The formula for the Perimeter of the rectangle is given by
Perimeter = 2( Length + Width )Here we have
The length of a rectangle is 2cm greater than the width of the rectangle
And perimeter of the rectangle = 24 cm
Let x be the width of the rectangle
From the given data,
Length of the rectangle = (x + 2) cm
As we know Perimeter of rectangle = 2(Length+width)
=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)
From the given data,
Perimeter of rectangle = 24cm
=> 2(2x +2) = 24 cm
=> (2x +2) = 12 [ Divided by 2 into both sides ]
=> 2x = 12 - 2
=> 2x = 10
=> x = 5 [ divided by 2 into both sides ]
Length of rectangle, (x+2) = 5 + 2 = 7 cm
Therefore,
The length of the rectangle is 7 cm and the width is 5 cm.
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Let X and Y be locally connected. Then X×Y is locally
connected.
The product of two locally connected spaces may or may not be locally connected. The local connectedness of the product space depends on the specific properties of X and Y.
The statement "Let X and Y be locally connected. Then X×Y is locally connected" is not true in general. The product of two locally connected spaces is not necessarily locally connected.
To see a counterexample, consider the following:
Let X be the real line R with the usual topology, which is locally connected.
Let Y be the discrete topology on the set {0, 1}, which is also locally connected since every subset is open.
However, the product space X×Y is not locally connected. To see this, consider the point (0, 1) in X×Y. Any open neighborhood of (0, 1) in X×Y must contain a basic open set of the form U×V, where U is an open neighborhood of 0 in X and V is an open neighborhood of 1 in Y. Since Y has the discrete topology, V can only be {1} or Y itself. In either case, U×V contains points other than (0, 1) that do not belong to the same connected component as (0, 1). Therefore, X×Y is not locally connected.
In general, the product of two locally connected spaces may or may not be locally connected. The local connectedness of the product space depends on the specific properties of X and Y.
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Put the following numbers in order from greatest to least. -3, -6, 2, 0, -1 4/5
The first step to solve this exercise is to write the Mixed number as a decimal number. You can do it by dividing the numerator by the denominator of the fractional part and adding the quotient to the Whole number part, as follows:
\(1+\frac{4}{5}=1+\text{0}.8=1.8\)So:
\(-1\frac{4}{5}=-1.8\)Knowing that Positive numbers are greater than zero and knowing that Negatives numbers are less than zero, we can order the given numbers from greatest to least, as you can see below:
\(undefined\)I need help with this
Answer:
MNO is also 70. they are corresponding angles
The start time is 12:32 A.M time elapse is 3 hr 10 minutes what’s the ending time?
Answer:
3:42 a.m.
hope this helps
have a good day :)
Step-by-step explanation:
Suppose that 15 years ago, a benefactor set up an account for your education. This benefactor made a single deposit of $20,000 that has been earning 6% interest compounded monthly. Since the deposit 15 years ago, no money has been added to or taken from the account. Will this account be sufficient to cover tuition for all four years that you will be in school? (Answer this question using the school that you chose for parts C and D and the formula given below.) Make sure that the "time in years" that you use is 15 years + the number of years you will be at school.
Answer:
No it wont
Step-by-step explanation:
6. Which of the following describes a speed of 8 meters per second? * 100 meters in 8 seconds O 80 meters in 8 seconds O 8 meters in 8 seconds O 80 meters in 10 seconds
8 meters per seconds simply implies covering a distance of 8 meters in 1 seconds. The situation describes speed. Therefore,
\(\begin{gathered} \text{speed}=\frac{dis\tan ce}{\text{time}} \\ \text{speed}=\frac{8}{1}=8ms^{-1} \end{gathered}\)We will look for similar one in the options
\(\text{speed}=\frac{80}{10}=\frac{8}{1}=8ms^{-1}\)The answer is 80 meters in 10 seconds.
( help me please ) ….
Answer:
The slope is 6/5, ;)))))))
Plz, help me with this question?
Plz, help me with this question?
Plz, help me with this question?
Answer:
4x= 40
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
4x= 40
Step-by-step explanation:
enter the digit that can replace blank
Answer:
The digit you replace that box with is 6.
La fábrica tiene 300 obreros de los cuales 2/3 son hombres. 3/3 trabajadores por la mañana, 1/2 son sindicalizado y 1/6 son personal de confiancia. ¿Cuántos hombres trabajan en la fábrica?_________ ¿Y cuántas mujeres?_______ ¿Cuántos hobreros trabajan por la mañana?__________ ¿Cuántos son sindicalizados?______________ ¿Cuántos son de confianza? AYUDA ES PARA MAÑANA SINO MIS PADRES ME MATAS AYUDA
From the total of 300 workers in the factory :
a. Number of men = 200 and Women = 100
b. Number of workers works in the morning = 225
c. Number of workers unionized are 150.
d. Number of workers trustworthy are 50.
Total number of workers in the factory are 300.
a. Fraction of men in the factory are ( 2/3)
= 2/3 of 300
= 200
Women
= 300 -200
= 100
b. Number of workers in the morning shift are
= 3/4 of 300
= 225
c. Total number of workers unionized
= 1/ 2 of 300
= 150
d. Number of trustworthy workers
= 1/6 of 300
= 50
Therefore, out of 300 workers in the factory answer of the following questions are:
a. Number of men and women work in the factory are 200 and 100 respectively.
b. Number of workers works in the morning is 225.
c. Unionized workers = 150
d. Trustworthy workers = 50.
The above question is incomplete , the complete question is :
The Factory has 300 workers of which 2/3 are men, 3/4 work in the morning, 1/2 are unionized and 1/6 are trusted personnel.
a. How many men work in the factory and how many women?
b. How many workers work in the morning?
c. How many are unionized?
d. How many are trustworthy?
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8. A 140-pound female has three mixed drinks one right after the other.
a. What is her BAC after consuming the three drinks?
BAC =
b. What is her BAC three hours after finishing the last drink?
The BAC of the female is an illustration of proportion
The BAC after consuming the three drinks is 0.029wThe BAC three hours after consuming the drinks is 0.087 wHow to calculate the BAC?BAC is calculated using:
BAC = Alcohol consumed/(Body Weight * R)
The weight is given as:
Body weight = 140 lb
Convert to kg
Body weight = 63.5 kg
For female
R = 0.55
So, we have:
BAC = Alcohol/(63.5 * 0.55)
BAC = Alcohol/34.925
BAC = 0.029Alcohol
The weight or volume of the alcohol consumed is given.
So, we represent it with w.
BAC = 0.029w
Hence, the BAC after consuming the three drinks is 0.029w
How to calculate the BAC after 3 hours?We have:
BAC1 = 0.029w
Time (t) = 3 hours
The BAC after 3 hours is
BAC = BAC1 * (t - 0.015)
So, we have:
BAC = 0.029w * (3 - 0.015)
Evaluate the product
BAC = 0.087w
Hence, the BAC three hours after consuming the drinks is 0.087 w
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Factor the quadratic equation below to reveal the solutions. X^2+4x-21=-9
Answer:
-6 and 2
Step-by-step explanation: