Answer:
the value of x° is 40° ..........
during the computer daze special promotion, a customer purchasing a computer and printer is given a choice of five free software packages. there are 9 different software packages from which to select. how many different groups of software packages can be selected?
The required group of software packages that can be selected is 28.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Examples of permutation and combination, Organizing people, numbers, numerals, alphabets, notes, and colors are examples of permutations. Choosing of menu, foodstuffs, dresses, matters, and the group are examples of combinations.
CalculationHere,
Choice of six free software packages. there are 8 different software packages from which to select.
n = 8, r = 6
Groups of software packages can be selected= 8C6
8C6 = n!/r!(n - r)!
8C6 = 8! / 4! 2!
8C6 = 8 * 7 / 2 / 1
8C6 = 28
Thus, the required group of software packages that can be selected is 28.
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What is 150 divided by 18
Answer:
8.33333333333
Step-by-step explanation:
Answer:
8.33
Step-by-step explanation:
Write an expression using fractions to determine the amount that each person will pay then calculate each person's contributions showing all steps in long division
Answer:
Fractional Expression for how much each person pays = (64.04/4)
Each person pays $16.01.
Step-by-step explanation:
Complete Question
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
The total of the bill is $64.04 and there are 4 people splitting the bill.
Solution
Total amount to be shared equally by 4 persons = $64.04
Fractional Expression for how much each person pays = (64.04/4)
Long division method to do this division.
16.01
4 | 64.04
4
24
24
00
0
04
4
0
Each person pays $16.01.
Hope this Helps!!!
Need some help from the bois
Answer:
a
Step-by-step explanation:
big brain
Question 6(Multiple Choice Worth 1 points)
(04.05 LC)
The graph shows a scatter plot for a set of data.
Scatter plot with x-axis labeled width in centimeters and y-axis labeled with length in centimeters. The 20 points graphed are 1.3 and 1.7, 1.4 and 1.9, 1.4 and 1.8, 1.5 and 1.9, 1.9 and 2.3, 2.1 and 3.5, 2.1 and 2.8, 2.1 and 2.7, 2.2 and 3, 2.2 and 2.7, 2.3 and 3, 2.4 and 3.2, 2.4 and 2.9, 2.5 and 3.5, 2.5 and 3.3, 2.6 and 3.5, 2.6 and 3.4, 2.6 and 3.4, 2.7 and 3.2, and 2.8 and 3.8.
What type of correlation exists? Is the model linear or non-linear?
Scatter plot with x-axis labeled width in centimeters and y-axis labeled with length in centimeters. The 20 points graphed are 1.3 and 1.7, 1.4 and 1.9, 1.4 and 1.8, 1.5 and 1.9, 1.9 and 2.3, 2.1 and 3.5, 2.1 and 2.8, 2.1 and 2.7, 2.2 and 3, 2.2 and 2.7, 2.3 and 3, 2.4 and 3.2, 2.4 and 2.9, 2.5 and 3.5, 2.5 and 3.3, 2.6 and 3.5, 2.6 and 3.4, 2.6 and 3.4, 2.7 and 3.2, and 2.8 and 3.8.
The graph shows a negative correlation, and it is a linear model.
The graph shows a positive correlation, and it is a linear model.
The graph shows a negative correlation, and it is a non-linear model.
The graph shows a positive correlation, and it is a non-linear model.
The correlation Illustrates that B. The graph shows a positive correlation, and it is a non-linear model.
How to illustrate the graph?In this scenario, the width would be plotted on the x-axis of the scatter plot while the length in centimeters would be plotted on the y-axis of the scatter plot.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select the format trend line, and then tick the box to display an equation for the line of best fit on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the width and length, a linear equation for the line of best fit is given by y = 1.31x + 0.02.
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Answer: The graph shows no correlation, and it is neither linear nor exponential.
Step-by-step explanation:
try doing a line of fit you're ALWAYS. gonna be ignoring other dots/points/coorids.
Why it's not a correlation is because nothing is together. You could consider a lot of dots on the edge.
If that doesn't make sense to you lets go through each answer
The graph shows a negative correlation, and it is a linear model.
The coordinates don't form any specific line
None of the coordinates are together
there's no slope since there's no line of fit.
it's THE SAME FOR THE OTHER ANSWER CHOICES BESIDES:
'The graph shows no correlation, and it is neither linear nor exponential.'
A line is parallel to y = -3x + 2 and
intersects the point (4, 3). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x -x1)
Then write the equation in slope-intercept form.
Enter
Answer:
the equation of line parallel to y=-3x+2
is y=-3x+k---(1)
Since,line(1) passes through point (4,3).
3=-3(4)+k
or,3=-12+k
or,k=3+12
:.k=15
Putting value of k in line (1), we get
y=-3x+15,which is the required eqn.
*mark me brainliest
reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.
How many kilometers is the race?
Enter your answer as a decimal in the box.
20 point 1 6
km
Total distance of the triathlon race is 23.34 kilometers.
Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.
The total distance of the race is 23.34 kilometers.
Reg enters a triathlon race.
He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.
In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km
Total distance = 23.34 km.
The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.
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A company is offering a bank account. The value, in dollars, of the account is represented by the function A(t) = 50,000(1.02)t, where t represents the number of years since the account was first opened. Determine the average rate of change of the account value from t = 0 to t = 5. Express your answer to the nearest cent. (2 points)
please help ill give brainilst
It displays the typical change in the function per unit throughout that time period.
What is the average rate of change?To determine the average rate of change, divide the change in y-values by the change in x-values.
Finding the average rate of change is very useful when studying changes in measurable metrics like average speed or average velocity.
In general, rate-of-change problems can be approached using the formula R = D/T, or rate of change equals the distance traveled divided by the time required to do so.
It displays the typical change in the function per unit throughout that time period.
It is produced using the slope of the line connecting the ends of the interval on the function's graph.
Therefore, it displays the typical change in the function per unit throughout that time period.
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Solve this equation (x-10) = 18 - 4x-1
Step 1: Simplify using the distributive property.
Which number can be distributed across two terms
inside parentheses? 315 v
Step 2. Combine like terms that are on the same side of
the equation which terms can be combined?
18 and -1
Step 3: Both sides of the equation contain a variable term.
You can isolate the variable term on either the left
or right side of the equation. Isolate the variable
term by
(x-10) = 18-4x-1
x6 = 18-4x-1
X-6 = 17-4%
5
adding 4
adding 6
subtracting 17
Check
Intro
The solution to the equation (x-10) = 18 - 4x-1 is x = 5. This can be found by simplifying using the distributive property (step 1), combining like terms on the same side of the equation (step 2), and isolating the variable term on one side of the equation (step 3).
To check the solution, substitute x = 5 back into the original equation and verify that both sides are equal.
Given the equation (x-10) = 18 - 4x - 1, let's follow the steps you've outlined:
Step 1: In this equation, there is no number to distribute using the distributive property. The equation is already simplified. So, we can move on to the next step.
Step 2: Combine like terms on the same side of the equation. We can combine 18 and -1 on the right side of the equation:
(x-10) = 17 - 4x
Step 3: Isolate the variable term. To do this, we can first add 4x to both sides of the equation to move the variable term to the left side:
(x + 4x - 10) = 17
(5x - 10) = 17
Now, add 10 to both sides of the equation to isolate the variable term:
5x = 27
Finally, divide both sides by 5 to find the value of x:
x = 27/5
So, the solution to the equation (x-10) = 18 - 4x - 1 is x = 27/5.
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how to understand like gallons and cups bruh ill appeciat it
Answer:
1 gallon = 16 cup
Step-by-step explanation:
Gallon is a larger measurement unit than cup.
There are t pencils in a pack. I buy 4 packs. How many pencils? =
Answer:4t
Step-by-step explanation: four pack plus the variable would be 4t because you can not solve for the variable
what is the composition, in weight percent, of an alloy that consists of 5 at% cu and 95 at% pt?
The composition of the alloy in weight percent is approximately 1.69% copper (Cu) and 98.31% platinum (Pt).
To find the composition of an alloy in weight percent, you need to determine the relative atomic weights of the elements involved and then use the given atomic percentages (at%) to calculate their weight percentages. In this case, we have 5 at% copper (Cu) and 95 at% platinum (Pt).
1. Find the atomic weights:
- Copper (Cu): 63.55 g/mol
- Platinum (Pt): 195.08 g/mol
2. Calculate the total mass of the alloy:
(5 at% Cu × 63.55 g/mol) + (95 at% Pt × 195.08 g/mol) = 317.75 + 18531.6 = 18849.35 g/mol
3. Calculate the weight percent of each element:
- Copper: (317.75 g/mol ÷ 18849.35 g/mol) × 100% = 1.69%
- Platinum: (18531.6 g/mol ÷ 18849.35 g/mol) × 100% = 98.31%
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1. (25 points) For each of the following statements, determine if the conclusion ALWAYS follows from the assumptions, if the conclusion is SOMETIMES true given the assump- tions, or if the conclusion is NEVER true given the assumptions. You do not need to show any work or justify your answers to these questions - only your circled answer will be graded. (a) If x(t) is a solution to X' = AX, then Y(t)--37HX(t) is also a solution. ALWAYS SOMETIMESNEVER (b) If A is a 2 × 2 matrix, then the systern X' AX can have exactly five equilibria. ALWAYS SOMETIMES NEVER (e) If the cigenvalues of A are real and have the opposite sign, then there is a solution x(t) to X' = AX such that x(t) → 0, as t → oo. ALWAYS SOMETIMESNEVER (d) If A has real digenvalues, then the system X'- AX has a straight line solution. ALWAYSSOMETIMES NEVER (e) Ifx(!) s a solution to the systern X' = AX and X(0)-한 then x(31) 15 ALWAYS SOMETIMES NEVER
(a) If x(t) is a solution to X' = AX, then Y(t) = 37HX(t) is also a solution.
Answer: SOMETIMES
(b) If A is a 2 × 2 matrix, then the system X' = AX can have exactly five equilibria.
Answer: NEVER
(c) If the eigenvalues of A are real and have the opposite sign, then there is a solution x(t) to X' = AX such that x(t) → 0, as t → ∞.
Answer: SOMETIMES
(d) If A has real eigenvalues, then the system X' = AX has a straight-line solution.
Answer: SOMETIMES
(e) If x(t) is a solution to the system X' = AX and X(0) = 1, then x(3) = 1.
Answer: SOMETIMES
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help with my geometry please
Answer:
x = 11
z = 86
Step-by-step explanation:
8x + 6 and 10x-16 are vertical angles
Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.
To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:
8x + 6 - 6 = 10x - 16 - 6
8x = 10x - 22
Now we can subtract 8x from both sides of the equation:
8x - 8x = 10x - 22 - 8x
0 = 2x - 22
To solve for x, we can add 22 to both sides of the equation:
0 + 22 = 2x - 22 + 22
22 = 2x
Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2
x = 11
Therefore, the solution to the equation is x = 11.
Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)
Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.
First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94
180 - 94 = z
z = 86
data from a poll conducted by travelocity led to the following estimates: approximately 44% of travelers check work email while on vacation, about 32% take cell phones on vacation in order to stay connected with work, and about 26% bring a laptop computer on vacation. are the given percentages population values or were they computed from a sample?
The estimates that is led from the data from a poll conducted by Travelocity , then the percentages are "computed from a sample" .
The Data from the poll conducted by Travelocity was computed from a sample of travelers and was used to estimate the proportion of travelers
The travelers have certain habits or behaviors, such as checking work email (44%) taking a cell phone (32%) , or bringing a laptop computer on vacation (26%) .
The sample estimates are used to make inferences about the population.
Therefore , the given percentages are that they were "computed from a sample" .
The given question is incomplete , the complete question is
Data from a poll conducted by Travelocity led to the following estimates:
Approximately 44% of travelers check work email while on vacation, about 32% take cell phones on vacation in order to stay connected with work, and about 26% bring a laptop computer on vacation.
Are the given percentages "population values" or were they "computed from a sample" ?
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7+(-3+5)=7+(5+(-3)) communitive or associative! Pls help
Answer:
Commutative
Step-by-step explanation:
It is commutative, since the order of 5 and 3 are changing within the brackets, not the grouping of all the numbers. 7 is left alone while only 5 and 3 are actually changing order within the parenthesis.
Which values are solutions to the inequality below? Check all that apply.
√x <10
A. 100
B. 25
C. -100
D. 105
E. 36
F. 9
Answer:
The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v
Step-by-step explanation:
its E and A
Answer:
The solutions to the inequality are B, E, and F: 25, 36, and 9.
Step-by-step explanation:
The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:
√x < 10
x < 10^2 = 100
So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:
A. 100 (not a solution)
B. 25 (solution)
C. -100 (not a solution)
D. 105 (not a solution)
E. 36 (solution)
F. 9 (solution)
when data are positively skewed, the mean will usually be
With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.
Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.
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Evaluate the expression for the given value(s) of the variable(s). m/6 ;m = 18
Answer:
3
Step-by-step explanation:
substitute m with 18
m/6
18/6=3
What is the 11th term of the geometric sequence 178, 106.8, 64.08, ...?
A
0.39
B
0.65
С
1.08
D
1.79
Step-by-step explanation:
step 1. A geometric sequence is found by multiplying subsequent term by a number r.
step 2. 106.8/178 = 0.6. 64.08/106.8 = 0.6. a = 0.6. note that a geometric series must have the same number when dividing successive terms.
step 3. an = ar^(n - 1) = a(0.6)^(n - 1)
step 4. given a1 = 178. an = 178(0.6)^(n - 1)
step 5. therefore a11 is the 11th term!
step 6. a11 = 178(0.6)^10 = 1.0763 = 1.08.
A(n) ________ indicates when an object sends or receives a message and is identified by a narrow vertical shape that covers the lifeline. A.. focus. b. subclass. c. instance. d. activity
A(n) focus indicates when an object sends or receives a message and is identified by a narrow vertical shape that covers the lifeline. A) focus.
A focus, in the context of UML, is a graphical element that represents the point in time when an object is actively sending or receiving a message. It is indicated by a narrow vertical shape that covers the lifeline of the object in a sequence diagram.
The other options, subclass and instance, do not refer to elements used in sequence diagrams. Subclass refers to a type of object that inherits attributes and behaviors from a parent class, while instance refers to a specific occurrence of an object with its own unique set of attribute values. Activity is a type of diagram used to model business processes or workflows.
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how many cubic millimeters are in a cubic centimeter?
1000 cubic millimeters are in a cubic centimeter.
'What is cubic centimeter?'
There are 1000 cubic millimeters in one cubic centimeter (cm³) (mm³). Add 1000 to the cubic cm number to convert it to cubic mm.
For instance, multiplying 10 by 1000 results in 10000 mm3, or how many cubic mm there are in 10 cubic cm.
The volume of small items is measured in cubic centimeters, a tiny unit of measurement. Discover standard units of measurement, the definition of cubic centimeters, how to convert them, and how to measure volume using cubic centimeters. A little cube with sides that are 1 cm long occupies the same amount of space as a cubic centimeter.
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the standard form equation for a hyperbola with center at the origin, vertices at (0, 3) and (0, -3), and foci at (0, 6) and (0, -6).
The standard form equation for the hyperbola with center at the origin, vertices at (0, 3) and (0, -3), and foci at (0, 6) and (0, -6) is x²/9 - y²/36 = 1.
To find the standard form equation for a hyperbola with center at the origin, we need to use the following formula: ((x-h)²/a²) - ((y-k)²/b²) = 1
where (h,k) is the center of the hyperbola, a is the distance from the center to the vertices, and b is the distance from the center to the foci.
In this case, the center is at (0,0), a = 3, and b = 6.
Plugging these values into the formula, we get: ((x-0)²/3²) - ((y-0)²/6²) = 1 Simplifying this equation, we get: x²/9 - y²/36 = 1
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how many square units are in an office that is 13 units by nine units
A quote website includes a "Surprise me!" button that randomly selects a quote from its database. For every 4 quotes in the database, 3 of them are from dead people. Let Q be the number of quotes a user requests using the "Surprise me!" button until the quote is by a living person. What is the mean and stan dev
The mean and standard deviation will be 4 quotes and 3.46 quotes respectively
Mean and Standard DeviationA mean is the simple mathematical average of a set of two or more numbersThe standard deviation of a random variable, sample, statistical population, data set, or probability distribution is the square root of its varianceWhat are steps to solve this problem?The steps are given below:
Sine we have a fixed number of successes and count the number of trials needed to obtain that first success, we have a geometric distribution.The mean and standard deviation of a geometric distribution can be calculated by using the formulae :Mean = \(\frac{1}{p}\)
Standard deviation = \(\frac{\sqrt{1-p}}{p}\)
Where p is the probability of success which is \(\frac{1}{4}\) = 0.25 quotesSo mean is \(\frac{1}{0.25}\)= 4 quotesStandard deviation is \(\frac{\sqrt{1-\ 0.25}}{0.25}\ \approx\ \frac{0.866}{0.25}\ \approx3.464\)So the mean is 4 quotes and standard deviation will be 3.46 quotes
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∀n ≥ 12, n = 4x + 5y, where x and y are non-negative integers. Prove (by strong induction),find how many base cases needed for the proof and why so many base cases needed for the proof?
We used strong induction to prove that for any integer n greater than or equal to 12, there exist non-negative integers x and y such that n can be expressed as 4x + 5y.
To prove the base cases, we can simply show that each of the four integers can be expressed as 4x + 5y for some non-negative integers x and y. For example, we can express 12 as 4(3) + 5(0), 13 as 4(2) + 5(1), 14 as 4(1) + 5(2), and 15 as 4(0) + 5(3).
Assume that the statement is true for all values of n less than or equal to some fixed value k. That is, assume that for all integers m with 12 ≤ m ≤ k, there exist non-negative integers a and b such that m = 4a + 5b. We will use this assumption to prove that the statement is true for k + 1.
To do this, we consider two cases: either k + 1 is divisible by 4 or it is not. If k + 1 is divisible by 4, then we can express k + 1 as k + 1 = 4x + 5y, where x = (k + 1)/4 and y = 0.
If k + 1 is not divisible by 4, then we can express k + 1 as k + 1 = 4x + 5y, where y > 0 and x is equal to the largest non-negative integer such that k + 1 - 5y is divisible by 4.
Thus, we have shown that for any integer n greater than or equal to 12, there exist non-negative integers x and y such that n can be expressed as 4x + 5y. This completes the proof by strong induction.
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En el mercado del satisfactor X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 – Px y 1,000 productores idénticos del satisfactor X, cada uno con una función de oferta dada por Qsx = 20 Px
Answer:
Px = $4
Step-by-step explanation:
Given that:
En el mercado de satisfacción X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 - Px y 1,000 productores idénticos de X satisfactorio, cada uno con una función de oferta dada por Qsx = 20 Px
El precio de equilibrio y la cantidad de equilibrio se pueden determinar de la siguiente manera;
Qdx = 10000(12-Px)
Qdx = 120000 - 10000Px
Qsx = 1000(20 Px)
Qsx = 20000 Px
El punto de equilibrio para completar el enunciado, cuando Qdx = Qsx es:
Qdx = Qsx
120000 - 10000 Px = 20000 Px
120000 = 20000 Px + 10000 Px
120000 = 30000 Px
Px = \(\mathbf{ \dfrac{120000}{30000}}\)
Px = $4
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
posotive
Step-by-step explanation:
The word that describes the slope of the line is positive (Option A).
What is the slope of a line?The slope of a line can be defined as the proportion/ratio of a given rise divided by its run.
Estimation of the slope of the line may result a very useful measurement of the line's inclination in relation to the horizontal.
In conclusion, the word that describes the slope of the line is positive (Option A).
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the set of all continuous real-valued functions defined on a closed interval (a, b] in ir is denoted by c[a , b]. this set is a subspace of the vector space of all real-val ued functions defined on [a, b]. a. what facts about continuous functions should be proved in order to demonstrate that c [a , b] is indeed a subspace as claimed? (these facts are usually discussed in a calculus class.) b. show that {fin c[a ,b]: f(a )
Let f be a continuous function in c[a, b] such that f(a) = 200. Then for all real numbers c, the scalar multiple cf is also a continuous function in c[a, b]. Specifically, cf(a) = c(200) = 200c.
To demonstrate that c[a, b] is a subspace, the following facts must be proved:
1. If f and g are both continuous functions in c[a, b], then the sum f + g is also a continuous function in c[a, b].
2. If f is a continuous function in c[a, b], then the scalar multiple cf is also a continuous function in c[a, b], where c is a real number.
3. The zero vector of c[a, b] is the constant zero function.
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HELP PLEASE IM GIVING 50 POINTS PLEASE HELP I HAVE NOT MUCH TIME
Answer:
2.25 inches
Step-by-step explanation:
Number of books: 12
Height of stack: 27 inches
27 divided by 12 = 2.25 inches
Answer:
9/4
Step-by-step explanation:
27/12 = 9/4 inch
= 2,25 inch