Evaluate the expression

(-2 3/4 + -1/3)^2 + 4/9 x 3/16

Answer:

2

Hope this helps, have a nice day/night

Also, sry for no explaination :(

Answer:

1)4

2)5

3)6

Step-by-step explanation:

1)2x+5=3x+1

2x-3x=1-5

-1x=-4

x=4

2)3x+2=4x-3

3x-4x=-3-2

-1x=-5

x=5

3)4x-3=3x+3

4x-3x=3+3

1x=6

x=6

Hope it helps

For the utility function U(x, y) = \((x^4)/(y^4)\), we can derive the indifference curve equations by setting the utility function equal to the given values U = 1, U = 2, and U = 3.

1. When U = 1:

  \((x^4)/(y^4) = 1\)

 \(x^4 = y^4\)

  Taking the fourth root of both sides, we get:

  x = y

2. When U = 2:

  \((x^4)/(y^4) = 2\)

  \(x^4 = 2y^4\)

  \(x = (2^(1/4)) * y\)

3. When U = 3:

  \((x^4)/(y^4) = 3\)

  \(x^4 = 3y^4\)

  \(x = (3^(1/4)) * y\)

The indifference curves for this utility function are shaped like a rectangular hyperbola, where the ratio of x to y remains constant along each curve.

(b) For the utility function U(x, y) = y - 2x, the indifference curves can be derived by setting the utility function equal to the given values U = 1, U = 2, and U = 3.

1. When U = 1:

  y - 2x = 1

  y = 2x + 1

2. When U = 2:

  y - 2x = 2

  y = 2x + 2

3. When U = 3:

  y - 2x = 3

  y = 2x + 3

The indifference curves for this utility function are straight lines with a slope of 2. They have a positive slope, indicating a positive marginal rate of substitution between x and y.

(c) Both utility functions satisfy completeness, transitivity, and monotonicity.

1. Completeness: The preferences are complete if, for any two bundles of goods, the consumer can compare and rank them. Both utility functions provide a ranking of bundles based on their utility values, indicating completeness.

2. Transitivity: Transitivity implies that if bundle A is preferred to bundle B, and bundle B is preferred to bundle C, then bundle A must be preferred to bundle C. Both utility functions satisfy this assumption.

3. Monotonicity: Monotonicity assumes that more is better. If a bundle has higher quantities of both goods compared to another bundle, it should be preferred. Both utility functions satisfy this assumption as well.

The violations of these assumptions would affect the shape and properties of the indifference curves. For example, if completeness is violated, there may be some bundles that cannot be compared or ranked, resulting in incomplete indifference curves.

If transitivity is violated, there may be cycles of preferences, leading to inconsistent indifference curves. If monotonicity is violated, the indifference curves may not have a consistent upward slope. However, in the case of the given utility functions, all assumptions are satisfied, allowing for well-defined indifference curves.

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Answer:

Infinity isn't a number but I think number 0 is a real number since it's used on the number line :3

Step-by-step explanation:

:3

fractions with the same denominator added together

You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.

What are the parts of fraction?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.

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We shall consider the options one after the other before choosing the best option;

Option 1;

Option 2;

Option 3;

Based on the calculations above, the third option is the best deal because that would make you pay the least amount per underwear. By choosing option 3, you will end up paying $0.38 for each underwear.

Therefore, "a package of 20 costs $7.60" is the best buy.

Answer:

\(\displaystyle \frac{dx}{dy} = \frac{3\sqrt{\frac{3}{y}}(y - 1)}{6y}\)

General Formulas and Concepts:

Algebra I

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Derivative Rule [Product Rule]:                                                                                \(\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)\)

Implicit Differentiation

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y = \frac{3}{x^2}\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

The limit of lim (x − 9)/ (x² − 81)  using the l'Hospital's Rule is 1/18.

                  x→9

We can directly substitute the value 9 in the given limit expression.

We get,

lim (x − 9)/ (x² − 81) = (9 - 9)/(9^2 - 81)

= 0/0

The given limit is in indeterminate form. We can apply L'Hospital's rule here.

Differentiating both the numerator and the denominator with respect to x, we get,

lim (x − 9)/ (x² − 81) = lim (1)/(2x)

Now we can directly substitute the value of x in the above expression.

lim (x − 9)/ (x² − 81) = lim (1)/(2x) = 1/18

Therefore, the limit of the given expression is 1/18.

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Dan used 20 gems for every 15 ribbon flowers

Answer: 8.4

Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4

The percentage of Measurements that are 124.4 or higher is approximately 0.99%.

In order to determine the percentage of measurements that are 124.4 or higher in a population of measurements that is approximately normal with a mean of 95 and a standard deviation of 15, we need to use the z-score formula.

The z-score formula is used to standardize a distribution so that it can be compared to a normal distribution with a mean of 0 and a standard deviation of 1.

The formula for calculating the z-score is: z = (x - μ) / σWhere:x is the measurement we want to standardize.μ is the population mean.σ is the population standard deviation.

The first step is to calculate the z-score for the measurement of 124.4:z = (124.4 - 95) / 15z = 2.2933The second step is to find the percentage of measurements that are 124.4 or higher using a standard normal distribution table. We look up the area to the right of the z-score of 2.2933 in the table.

The closest value in the table is 0.9901, which corresponds to a z-score of 2.33. We know that the area to the left of a z-score of 2.33 is 0.9901, so the area to the right of a z-score of 2.33 is:1 - 0.9901 = 0.0099

This means that approximately 0.99% of the measurements are 124.4 or higher.

Therefore, the percentage of measurements that are 124.4 or higher is approximately 0.99%.

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Answer:

a)     H(-x) = 4x⁴ + 5x³ +2x² + x + 5

b)     0 sign changes

c)      0 negative real solutions

d)     4 imaginary solutions

Step-by-step explanation:

a) Replace every x with (-x) and rewrite the function below

    H(x) = 4x⁴ - 5x³ + 2x² - x + 5

    H(-x) = 4(-x)⁴ - 5(-x)³ + 2(-x)² - (-x) + 5

    H(-x) = 4x⁴ + 5x³ +2x² + x + 5

b) How many sign changes are there in this new function?

0 (zero) sign changes in the new function (terms 5x³ and x)

c) How many negative real roots are possible?

0 (zero) negative real solutions possible.

d) How many possible complex roots are there?

There are 4 or 2 or 0 positive roots for the function and 4 total roots for this function; Given the degree of the function is also 4, there can be 0 or 2 or 4 complex roots for the function. If you were to graph H(x), you would see that the function never touches or crosses the x-axis. Therefore, the function has 4 imaginary roots and no real roots.

Answer:

welcome

Step-by-step explanation:

c I know

Answer:

\({ \bf{gradient = { \boxed{ - 2}}}} \\ \\ { \bf{y - intercept = { \boxed{4}}}}\)

Answer:

The difference between the maximum and the minimum temperature on that day is \(18^0C\)

Step-by-step explanation:

The maximum temperature of an island was recorded \(15.5^0C\)

The minimum temperature was recorded \(-2.5^0C\)

Difference in temperature

\(=15.5--2.5\\\\=18^0C\)

Answer:

the difference between 15.5 and -2.5 is 18

Step-by-step explanation:

Based on the Monthly Principal & Interest Factor chart, the monthly payment for the given scenario would be $1,258.62.

The Monthly Principal & Interest Factor chart is a tool used to calculate the monthly payment for a mortgage based on specific variables such as the loan amount, interest rate, and term. By locating the corresponding factors on the chart, one can determine the monthly payment.

In this case, we consider a 30-year term mortgage after a 25% down payment on a $295,450.00 purchase price, with a household credit score of 788.

By referring to the Monthly Principal & Interest Factor chart, the factor that matches these parameters corresponds to a monthly payment of $1,258.62.

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

6t - 20 - 32u

t = 6

u = 1/4

Step 2: Evaluate

Answer:

8

Step-by-step explanation:

Given

6t - 20 - 32u ( substitute the given values into the expression )

= 6(6) - 20 - (32 × \(\frac{1}{4}\) )

= 36 - 20 - 8

= 16 - 8

= 8

Answer:

a.) ?

b.)15 miles

Step-by-step explanation:

b.) 2.5x6=15

Answer:

C. 0 6 10

Step-by-Step-Explanation:

the number on the left of the indicated operation is the original set

the number '2' next to R shows that you need to multiply certain numbers by 2

the subscript on the R's shows which row the multiplication needs to be done on...

so in this case, leave the second row alone: 1  3  4

but multiply the first row by 2: 0  6  10

Answer:

Which characteristic is necessary to create a table that compares two functions :

Choose the same values for each function \(\huge \checkmark\)

a. This is a one-tailed test because the alternative hypothesis is stating that the population mean is greater than 26, indicating a one-sided difference.

To conduct the hypothesis test, we have the following information:

Sample size (n) = 34

Sample mean (x(bar)) = 28

Population standard deviation (σ) = 4

Significance level (α) = 0.05

Null hypothesis (H0): μ ≤ 26

Alternative hypothesis (H1): μ > 26

b. The decision rule for a one-tailed test with a significance level of 0.05 is as follows:

- If the p-value is less than 0.05, reject the null hypothesis.

- If the p-value is greater than or equal to 0.05, fail to reject the null hypothesis.

Since the p-value is given as 0.0002 (e-2 means 0.0002), which is less than 0.05, we reject the null hypothesis. The p-value represents the probability of obtaining a sample mean of 28 or more, assuming that the population mean is 26 or less. With a p-value of 0.0002, which is less than the significance level of 0.05, we have strong evidence to suggest that the population mean is greater than 26.

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Answer:

\(x=\dfrac{-3\pm \sqrt7i}{2}\)

Step-by-step explanation:

The given equation is \(x^{2}+3x+4=0\).

We need to find the solution of the above equation.

The solution of an equation \(ax^2+bx+c=0\) is :

\(x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\)

We have, a = 1, b = 3 and c = 4

\(x=\dfrac{-3+ \sqrt{(3)^2-4(1)(4)} }{2}, \dfrac{-3- \sqrt{(3)^2-4(1)(4)} }{2}\\\\=\dfrac{-3+\sqrt{9-16}}{2}, \dfrac{-3-\sqrt{9-16}}{2}\\\\=\dfrac{-3\pm \sqrt7i}{2}\)

So, the solution of the given equation is \(\dfrac{-3\pm \sqrt7i}{2}\).

Answer:

3(k-6)

Step-by-step explanation:

I did it on i-Ready and got it right!

A common factor of 3k and 18 that is greater than 1 is 3.

An expression that shows 3k minus 18 is 3(k)-3(6).

An expression that is equivalent to 3k - 18 can be written as follows:

3(k - 6)

Given is an expression 3k-18 we need to an expression that is equivalent to it,

Let's break it down to understand why this expression is equivalent to 3k - 18:

Distributive Property: The expression 3(k - 6) can be expanded using the distributive property, which states that for any real numbers a, b, and c: a(b + c) = ab + ac.

In this case, a is 3, and b is k while c is -6. So we can apply the distributive property as follows: 3(k - 6) = 3k + 3(-6).

Simplification: The term 3(-6) can be simplified to -18, so the expression becomes 3k - 18.

Therefore, the expression 3(k - 6) is equivalent to 3k - 18 because both expressions yield the same result when evaluated for any value of k.

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Answer: B

Step-by-step explanation:

There are two x-intercepts: x = -√5 and x = √5. The answer is: 2 x-intercepts.

The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses.

To find the x-intercepts of the polynomial function f(x) = x⁴ - 5x², we set f(x) equal to zero and solve for x.

Setting f(x) = 0:

x⁴ - 5x² = 0

Factoring out the common term x²:

x²(x² - 5) = 0

Now we have two factors: x² = 0 and x² - 5 = 0.

For x² = 0, we have a double root at x = 0.

This means the graph touches the x-axis at x = 0 but does not cross it.

For x² - 5 = 0, we can solve for x by taking the square root:

x² = 5

x = ±√5

Therefore, there are two x-intercepts: x = -√5 and x = √5.

The answer is: 2 x-intercepts.

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The correct answer is c. Learning curves are important for estimating performance improvement as workers become experienced.

Learning curves are often used in project management to estimating the time, effort, and resources required to complete a task or project. They help to estimate how long it will take for a worker or team to become proficient at a task or process, based on the amount of time and effort that they have put into it.

This can be helpful in estimating performance improvement as workers become more experienced and efficient in their work. The concept of a learning curve is a curved line that represents the rate of improvement over time, which is why the term "curve" is relevant. While learning curves do involve some math, they are not primarily focused on helping new PMs understand required math, nor are they used for visualization of curved mechanical parts or estimating cost improvement as parts become "broken in."
Learning curves are important for:
c. estimating performance improvement as workers become experienced.
Learning curves represent the progress made in a skill or job over time, whereas a curve illustrates the relationship between experience and efficiency. As workers become more experienced, their performance typically improves, which can be estimated using a learning curve in various industries and tasks.

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To "solve for x" is to identify the x value that indicates that the equation is true. We should obtain L.H.S = R.H.S once we figure out the value of x and replace it in the equation .x + 2 = 7

Add 2 to both sides, resulting in x = 5 when x + 2 - 2 = 7 - 2

Re-entering the solution, x = 5, will allow you to verify the answer.

We get 5 + 2= 7.

Because LHS = RHS

Apply mathematical operation to the both the equation's two halves to bring the variable with one side as well as the additional values to the other side in order to find the value of x.

If I were to ask you to find a number for x that satisfied the equation

"x + 1 = 2," you would have to do the same.

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                                "Complete question"

     Find the value of x and use it to solve the problem. x + 2 = 7

Answer:

Option 2

 x     y

−3     0

−1      3

 0     4

 3     0

4 3

Step-by-step explanation:

For a relation x →  y to be a function, there can be one and only one value of y for a value of x

Looking at the tables we see that option 1 is out since all x values are 2 andthere are multiple values of y

The last option is out because for x = 0 there are two values of y=-2 and y = 2

Correct choice is the second option which has a unique y value for each value of x

Answer:

option 2 im doing it rn

Step-by-step explanation:

Answer:

with what???

Step-by-step explanation: