Anaiah is currently spending $150 on eggplants and kiwis.
Anaiah is behaving irrationally, because
1) He is not spending his entire income
2) He is spending too much on kiwis
3) He is not balancing what he spends on each good
4) His marginal utility per dollar spent is not the same for both goods.
Currently, Anaiah is spending:
On eggplants: 20 x $3 = $60
On kiwis: 30 x $3 = $90
Total spending: $60 + $90 = $150
Therefore, Anaiah is currently spending $150 on these goods.
The reasons that Anaiah is behaving irrationally are:
He is not spending his entire income: Anaiah has $180 to spend but he is only spending $150, which means he is not maximizing his utility by fully utilizing his budget.
He is spending too much on kiwis: Anaiah's marginal utility per dollar spent on kiwis is lower than his marginal utility per dollar spent on eggplants. Therefore, he should be spending more on eggplants and less on kiwis to maximize his utility.
He is not balancing what he spends on each good: Anaiah is consuming 20 eggplants and 30 kiwis, which means he is not allocating his budget efficiently to maximize his total utility. He should be consuming a combination of eggplants and kiwis that gives him the highest total utility within his budget constraint.
His marginal utility per dollar spent is not the same for both goods: Anaiah's marginal utility per dollar spent on eggplants is 160 utils while his marginal utility per dollar spent on kiwis is 190 utils. Therefore, he should be consuming more eggplants and fewer kiwis to maximize his total utility within his budget constraint.
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what is 88 6/12 rounded to the nearest whole number
Answer: 88 1/2
Step-by-step explanation:
easy
Answer:
89
Step-by-step explanation:
What is 7.1093 round to the nearest hundredth?
The number round to the nearest hundredth according to the rules is 7.11.
The steps to round the digits to nearest hundredth are as follows -
Step 1 - Firstly read the number and analyse the number at the position hundredth. We see that 0 is present at the hundredth position.
Step 2 - Now check the number on the right hand side of the number. We see that it is 9.
Step 3 - If the number is greater than 5, then add one to the prior digit (the one at hundredth position).
Step 4 - Write the final number using above points. The number will be 7.11. The number 3 will be dropped as we are directed to shorten the number.
The rounded number is 7.11.
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What is the output of the following code fragment?
int x=0;
while( x < 5)
cout << x << endl;
x ++;
cout << x << endl;
The output of the following code fragment
int x=0;
while( x < 5)
cout << x << endl;
x ++;
cout << x << endl; will be 0, 1, 2, 3, 4, 5.
The code initializes the variable x to 0, and then enters a while loop that will execute as long as x is less than 5. During each iteration of the loop, the value of x is output to the console using the cout statement, followed by a new line character.
After the cout statement, x is incremented by 1 using the x++ statement. This process is repeated until x is equal to 5, at which point the loop terminates. Finally, the value of x is output to the console using the cout statement, followed by a new line character, giving the output of 5.
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why are brackets used s multiplication signs
Brackets are used for multiplication to expand and simplify an expression.
We must multiply out the brackets in order to extend and simplify an expression. The resulting phrase is then made simpler by grouping like terms together. Our method for removing brackets is known as expanding brackets or multiplying them out. Factorization is being done in reverse.
In some non-standard or informal contexts, such as with some programming languages or computer systems, brackets are employed as multiplication signs. When accessing items of an array or list in various programming languages, square brackets may also be used to denote multiplication in specific circumstances. As an example, the formula 2(3) instructs you to multiply 2 by 3 to generate the number 6.
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Given f(x)=x^2+9 and g(x) =-x-7, find (f+g)(x).
Answer:
x^2 - x + 2.
Step-by-step explanation:
Answer:
x² - x + 2
Explanation
Work out using the given functions to set up and simplify (f + g) (x)
David has a smart phone data plan that costs $30 per month that includes 6 GB of data, but will charge an extra $10 per GB over the included amount. How much would David have to pay in a month where he used 4 GB over the limit? How much would David have to pay in a month where he used went over by xx GB?
He would have to pay a total of $30 + $10 xx.
What is the basic arithmetic operation?
The four basic mathematical operations are Addition, subtraction, multiplication, and division.
If David used 4 GB over the limit, he used a total of 6 + 4 = 10 GB of data that month. Since he was charged $10 per GB over the included amount, he would have to pay an extra $10 x 4 = $40 in addition to the base $30 cost.
Therefore, he would have to pay a total of $30 + $40 = $70 that month.
If David went over the limit by xx GB, he would have used a total of 6 + xx GB of data that month.
Therefore, he would have to pay an extra $10 x xx in addition to the base $30 cost.
Hence, he would have to pay a total of $30 + $10 xx.
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what is the FOIL method and how does it connect with polynomials?
Answer:
The FOIL method is a technique used to multiply two binomials. The word "FOIL" is an acronym that stands for "First, Outer, Inner, Last." I will dive in it briefly for u!
Step-by-step explanation:
To use the FOIL method, you multiply the first term of the first binomial with the first term of the second binomial. Then, you multiply the outer terms (first term of the first binomial and the second term of the second binomial), followed by the inner terms (second term of the first binomial and the first term of the second binomial), and finally the last terms (second term of both binomials). You then combine the like terms to simplify the result.
The FOIL method is especially useful when multiplying polynomials, which are expressions with one or more terms involving variables with various powers. For example, to multiply the binomials (x + 3) and (x - 2), you would use the FOIL method as follows:
First: x × x = x²
Outer: x × (-2) = -2x
Inner: 3 × x = 3x
Last: 3 × (-2) = -6
Combine the like terms: x² - 2x + 3x - 6 = x² + x - 6
Thus, the product of (x + 3) and (x - 2) is x² + x - 6.
Answer:
The FOIL method is a mnemonic device used to multiply two binomials. It stands for "First, Outer, Inner, Last" and it is a step-by-step process that helps to remember the order of operations for multiplying binomials. When multiplying two binomials, the FOIL method involves multiplying the first terms, then the outer terms, then the inner terms, and finally the last terms, and then adding the resulting terms together to simplify the expression.
The FOIL method is used in polynomial algebra because it is an efficient way to multiply two polynomials of degree one, also known as binomials. When multiplying two binomials, we can use the FOIL method to distribute each term in the first binomial to each term in the second binomial, resulting in a new polynomial expression. This method allows us to simplify polynomial expressions and solve equations by factoring, which is a crucial skill in algebra and calculus.
In summary, the FOIL method is a mnemonic device used to multiply two binomials by remembering the order of operations for each term. This method is commonly used in polynomial algebra because it is an efficient way to simplify polynomial expressions and solve equations by factoring.
The scooter is being sold at a 10% discount. The original price is shown. Which methods can you use to find the new
sale price? Which method do you prefer? Explain.
Multiply $42.00 by 0.9.
Multiply $42.00 by 0.9,
then add to $42.00.
Multiply $42.00 by 0.1,
then subtract from $42.00.
Multiply $42.00 by 0.9,
then subtract from $42.00.
The preferred method to know the price of the scooter is
Multiply $42.00 by 0.9.How to find the sale priceThe question is a percentage problem
10%
= 10 percent
= 10 / 100
= 0.1
Since the problem is about discount of 10 % .
= 1 - 0.1
= 0.9
The sale price using the factor of 0.9
= $42 * 0.9
This method is more straight forward and gives the correct answer
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what are significant digits in a quantity?
Significant digits, also known as significant figures, refer to the digits in a quantity that are considered to be reliable and meaningful based on the precision of the measurement.
The significant digits in a given quantity include all the digits that are known with certainty, as well as one uncertain digit that is estimated based on the measurement's precision.
For example, if the length of a table is 1.23 metres, the digits "1," "2," and "3" are all significant, whereas the digit "0" is not significant because it is just a placeholder.
The number of significant digits in a number is determined by the measurement instrument or method used.
For example, if you use a centimeter-marked ruler to measure the length of a table, you can estimate the length to the nearest millimetre, implying that the last digit is uncertain and estimated. Because you have three certain digits and one estimated digit, the number of significant digits in this case is three.
When performing mathematical operations on numbers with varying numbers of significant digits, the result should be rounded to the same number of significant digits as the least precise measurement. This is necessary to maintain the calculation's accuracy and precision.
Understanding significant digits is essential for precise scientific measurements and calculations. It can aid in the prevention of errors and the production of reliable and meaningful results.
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i dont know how to do this help me
Answer:
x=180
Step-by-step explanation:
Rice costs $x per kg.
Potatoes cost $(x+1) per kg.
The total cost of 12kg of rice and 7kg of potatoes is $31.70.
What is the cost of 1kg of rice?
Show your working kindly.
Answer:
x = 1.3
Step-by-step explanation:
cost of rice for 12kg = 12 * x ($x for each kg)
cost of potatoes for 7kg = 7 * (x+1)
total cost = 12 * x + 7 * (x+1) = 31.7
12x + 7x + 7 = 31.7
19x + 7 = 31.7
subtract 7 from both sides to isolate the variable and its coefficient
19x = 24.7
divide both sides by 19 to find x
x = 1.3
The point-intercept form of a linear equation is y -y1 =m(x-x1)true of false
Answer:
False
Step-by-step explanation:
This is the POINT -SLOPE form
gotta get it done real quick b4 i get a F
Answer: The tape diagram that represents the problem is the second (7/3)
Step-by-step explanation:
3/7 isn't 7/3, and 7/7 isn't 7/3. By process of elimination, the second answer works; 7/3 = 7/3.
You work at a hardware store earning $8. 50 per hour. You work no more than 40 hours each week. Your friend says that the function y = 8. 5x represents the amount of money you earn each week where the domain of x > 40 represents the number of possible hours you work. Is your friend correct? Explain
Answer:3.5
Step-by-step explanation:
during the summer vacation, 35 students out of 100 took up music classes, 45 students took up dance classes, and 30 students did not take up either music or dance classes. if a student is chosen at random, what is the probability that the student took both music and dance classes?
The probability that a student took both music and dance classes is 0.1.
What is the probability?Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?
From the information given, we know that:
35 students took music classes, which includes x and y.
45 students took dance classes, which includes y and z.
30 students did not take either music or dance classes, which includes the area outside the circles.
We can also see that the total number of students is 100, so the sum of all the areas in the Venn diagram must be 100.
Therefore, we can set up the equation:
x + y + z + 30 = 100
Simplifying, we get:
x + y + z = 70
We want to find the probability that a student took both music and dance classes, which is the area of the overlap between the music and dance circles (represented by y) divided by the total number of students (100).
So, the probability is:
y/100
To find y, we can use the formula:
y = (total in music) + (total in dance) - (total in both)
y = 35 + 45 - (x + y + z)
Substituting x + y + z = 70, we get:
y = 35 + 45 - 70 = 10
Therefore, the probability that a student took both music and dance classes is:
y/100 = 10/100 = 0.1
Therefore, the probability is 0.1 or 10%.
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in a regression model, outliers may be identified by examining the?
in a regression model, outliers may be identified by examining the Residual. Seeing how far the data points are away from the regression is how you can determine outliers.
What's a residual in finance?
A residual or balloon payment is a final lump sum you're needed to pay at the end of your loan term to enjoy an asset outright. generally, the lump sum is original to – or lower than – the downgraded value of the asset.
What are exemplifications of residual?
Residual describes what remains after utmost of commodity is gone. It's an nearly formal word for what is leftover. However, also you have some residual bitterness, If you've gotten over your bifurcation but you still have the appetite to protest your partner.
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7, -3 across the x - axis
Answer:
(7,3)
Step-by-step explanation:
Our point is (7, -3)
Across the x-axis, which means the y will change to be opposite, so the answer is
(7,3)
what is 64 cube root
The cube root of 64 is 4, which is the value that, when multiplied by itself three times, equals 64.
The cube root of a number is the value that, when multiplied by itself three times, equals the original number. In the case of 64, the cube root is 4, because 4 multiplied by itself three times equals 64:
4 × 4 × 4 = 64
This can also be written using the cube root symbol (∛), as follows:
∛64 = 4
The cube root is an important mathematical operation used in a variety of fields, including engineering, physics, and finance. It is also used in everyday life, such as when calculating the dimensions of boxes or when determining the amount of material needed for a construction project.
It's important to note that the cube root is just one of several types of roots that can be taken of a number, including the square root (which is the value that, when multiplied by itself twice, equals the original number) and higher-order roots such as the fourth or fifth root.
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the tiles to the correct boxes to complete the pairs.
Match each power of i to its equivalent expression.
Tiles
1
Pairs
181
¡52
199
¡66
-1
11
-1
Step-by-step explanation:
just keep in mind :
i = sqrt(-1)
that is all we need to know.
from there we know the forever repeating group of 4 "power of i" values :
i¹ = i
i² = sqrt(-1)² = -1
i³ = i²×i = -1×i = -i
i⁴ = i²×i² = -1×-1 = 1
and this repeats now over and over again with the following powers :
i⁵ = i⁴×i = 1×i = i
i⁶ = i⁴×i² = 1×-1 = -1
i⁷ = i⁴×i³ = 1×-i = -i
i⁸ = i⁴×i⁴ = 1×1 = 1
and so on and so on ...
so,
i⁸¹ = i⁸⁰×i = (i⁴)²⁰×i = 1²⁰×i = 1×i = i
i⁵² = (i⁴)¹³ = 1¹³ = 1
i⁹⁹ = i⁹⁶×i³ = (i⁴)²⁴×i³ = 1²⁴×-i = 1×-i = -i
i⁶⁶ = i⁶⁴×i² = (i⁴)¹⁶×i² = 1¹⁶×-1 = 1×-1 = -1
for such questions always look for the modulo (remainder) result when dividing the exponent by 4. and then use the first list or table above.
There is a group of 10 people who are ordering pizza. If each person gets 2 slices and each pizza has 20 slices how many pizzas should they order
Answer:
1 Pizza
Step-by-step explanation:
10 times 2 is 20. 20 is how many pizza slices in the box, so they only need 1 pizza.
how to solve an inequality
While solving an inequality, you can do the following: add the same amount to each side, deduct the same amount from each side, and multiply or divide each side by the same positive amount. When each side is multiplied or divided by a negative number, the inequality sign must be flipped.
Inequalities may be solved in the same way as any other mathematical problem, but they require some extra steps to guarantee you get the correct solution.
Identify the terms in the inequality first. After that, simplify the equation such that it just has one variable.
Then, attempt to isolate the variable in the equation. To do this, carry out any necessary procedures on both sides of the equation to cancel out the terms that are unrelated to the equation.
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Question
HELP NEEDED FAST!!
Write the equation of the line in slope-intercept form that passes through the coordinates (6, -5) and (8, -6).
Responses
y−6=−12(x+5)
y minus 6 is equal to negative 1 half times open paren x plus 5 close paren
y=−12x−2
y is equal to negative 1 half x minus 2
y=12x−8
y is equal to 1 half x minus 8
y=−12x+8
An equation of the line in slope-intercept form that passes through the coordinates (6, -5) and (8, -6) is: B. y = -1/2(x) - 2; y is equal to negative 1 half x minus 2
How to determine an equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.At data point (6, -5), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - (-5) = (-6 - (-5))/(8 - 6)(x - 6)
y + 5 = (-6 + 5)/(8 - 6)(x - 6)
y + 5 = -1/2(x - 6)
y = -1/2(x) + 3 - 5
y = -1/2(x) - 2
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[tex]\frac{5x-3}{x+2} \leq 4\\[/tex]
The solution to the inequality is x ≤ 1.
What is inequality?Inequality in mathematics is when two values are not equal. It can be expressed using symbols such as >, <, ≥ and ≤. This can be used to compare two values, express a range of values, or indicate that one value is greater or less than another. Inequality is a powerful tool for solving mathematical problems, as it can be used to deduce relationships between different variables.
To solve this inequality, we must first perform the operations on the left side of the equation to get an expression equal to 4. We can start by simplifying the fraction on the left side of the equation. We can multiply both the numerator and denominator by x, which will give us 5x - 3 = x + 2x. We can then add 3 to both sides to get 5x = 3 + 2x, which can then be simplified to 3x = 3. Finally, we can divide both sides by 3 to get x = 1. Therefore, the solution to the inequality is x ≤ 1.
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5 more than the product of 3 and a number y is less than or equal to the sum of another number z and 14
The algebraic expression of the statement is 5 + 3y ≤ z + 14
How to determine the algebraic expressionFrom the question, we have the following parameters that can be used in our computation:
5 more than the product of 3 and a number y is less than or equal to the sum of another number z and 14
When represented as expression, we have
5 + 3y is less than or equal to z + 14
As an inequality, we have
5 + 3y ≤ z + 14
hence, the expresion si 5 + 3y ≤ z + 14
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what is standard deviation variance squared ?
Standard deviation variance squared is the measure of dispersion the most often used, along with the standard deviation, that is simply the square root of the variance.
In the standard deviation of squared variance, the variance is the mean squared difference between the each data point and the center of the distribution, measured by mean. The larger the squared value of the standard deviation variance, the more spread out the data.
It is calculated keeping in mind the square of standard deviation. And provides measure of the dispersion that is more sensitive to extreme values in the dataset than standard deviation alone.
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A marble has a radius of 9 cm. Find the volume of the marble.
We can calculate this using this equation:
[tex]V =\dfrac{4}{3}\pi r^3[/tex]
Solving the Question[tex]V =\dfrac{4}{3}\pi r^3[/tex]
We're given that the radius is 9 cm:
[tex]V =\dfrac{4}{3}\pi (9)^3\\\\V=3053.63[/tex]
AnswerV = 3053.63 cm³
what is law of cosine ?
The Law of Cosines is a formula that relates the side lengths and angles of any triangle, expressed as c^2 = a^2 + b^2 - 2abcos(C).
The Law of Cosines is a numerical formula that relates the side lengths and points of any triangle. It expresses that the square of any side of a triangle is equivalent to the number of squares of the other different sides short two times the result of those sides and the cosine of the point between them. Numerically, the Law of Cosines can be communicated as c^2 = a^2 + b^2 - 2abcos(C), where c is the length of the side inverse to the point C, and an and b are the lengths of the other different sides.
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if a person draws a playing card and checks its color and then spins a six-space spinner what's the sample space of possible outcomes?
The sample space of possible outcomes are S= {(B,1),(B,2),(B,3),(B,4),(B,5),(B,6),(R,1),(R,2),(R,3),(R,4),(R,5),(R,6)}.
What is a sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.
Given that, a person draws a playing card and checks its color and then spins a six-space spinner.
The sample space of possible outcomes using B, R for the card outcomes and 1, 2, 3, 4, 5, 6 for the spinner outcomes.
The sample space is S= {(B,1),(B,2),(B,3),(B,4),(B,5),(B,6),(R,1),(R,2),(R,3),(R,4),(R,5),(R,6)}.
Therefore, the sample space of possible outcomes are S= {(B,1),(B,2),(B,3),(B,4),(B,5),(B,6),(R,1),(R,2),(R,3),(R,4),(R,5),(R,6)}.
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"Your question is incomplete, probably the complete question/missing part is:"
If a person draws a playing card and checks its color and then spins a six-space spinner, describe the sample space of possible outcomes using B, R for the card outcomes and 1, 2, 3, 4, 5, 6 for the spinner outcomes. (Make sure your answers reflect the order stated.)
The sample space is S={ }.
(Use a comma to separate answers as needed.)
What is the easiest way to calculate square root?
The simplest way to calculate a square root is determined by the size of the number to be squared and your level of mathematical comfort. Here are some methods to consider:
Calculator: Using a calculator is the simplest way to calculate a square root. To find the square root of a number, most calculators have a square root function. Enter the number and then press the square root button.
Estimation: You can use estimation to find an approximate value for the square root of a number. To find the square root of a number, round it to the nearest perfect square (e.g. if you want to find the square root of 15, round it to 16). Then, calculate the square root of the perfect square (in this case, 4), and use that as an estimate.
Long Division: Long division is another method for determining the square root of a number. This method takes longer, but it can be used to calculate the exact value of the square root. Many guides and tutorials are available online to help you learn how to perform long division for square roots.
Using logarithms: A more advanced method for determining the square root of a number is to use logarithms. This method entails taking the number's logarithm, dividing it by 2, and then taking the antilogarithm of the result. This method is useful for calculating the square roots of very large numbers.
Otherwise, Vedic mathematics is a techniques which help in calculation of long and tricky problems or equations.
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Evaluate
7
1
/
6
−
3
5
/
8
.
Answer:
3.542
Step-by-step explanation:
7 1/6 - 3 5/8 = (85/24) = 3(13/24) ≅ 3.5416667.
7⅙ - 3⅝ = 8524 = 3 1324 ≅ 3.5416667 (simplified) = 3.542