Write an equation to represent the following statement.
The sum of j and 47 is 55.

The competitive price of good x and the corresponding allocation of labor (l) is \((2/3)^{(3/2)}\) x \(l^{(1/2)}\) = 1/2.

To find the competitive prices and allocation in this economy, we need to determine the equilibrium conditions. In a competitive market, prices are determined such that supply equals demand. In this case, the supply of good x is determined by the cost function of the firm, while the demand for good x is determined by the utility function of the representative agent.

Let's find the agent's demand for good x. The agent maximizes their utility subject to their budget constraint, which is given by the endowment of labor (l) and the prices of x and l. The agent's optimization problem can be solved using Lagrange multipliers, which yields the following demand function:

x = \((2/3)^{(3/2)}\) x \(l^{(1/2)}\)

We can find the supply of good x by minimizing the cost function of the firm. The cost minimization problem can be solved by equating the marginal product of labor to the wage rate (the price of labor). In this case, the marginal product of labor is equal to 2q, and the wage rate is 1. Solving for the quantity of x produced (q) gives us:

q = 1/2

We can determine the competitive prices. Since the demand for good x is given by the agent's utility function, we can equate the demand and supply functions to find the equilibrium prices:

\((2/3)^{(3/2)}\) x \(l^{(1/2)}\) = 1/2

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Answer:

Just one solution, u = -9

Step-by-step explanation:

-6u=9-5u

-u = 9

u = -9

Answer:

Just one solution, u = -9

Step-by-step explanation:

-6u=9-5u

-u = 9

u = -9

Answer:

Step-by-step explanation:

x + 3 = 41

x = 38

Answer:

1 / 5^11

Step-by-step explanation:

5^ -6  * 5 ^ -5

We know that a^ b * a^ c = a^( b+c)

5^ ( -5+-5)

5^ -11

We also know that

a^-b = 1/ a^b

1 / 5^11

Answer:

1/5^11

Step-by-step explanation:

5^-6 * 5^-5

5^-6+(-5)

5^-6-5

5^-11

1/5^11

Note : In multiplication if the bases are same then u can add their exponent and when the base have ngative exponent just do it's reciprocal.Then u the base will have positive exponent.

Answer:

4

Step-by-step explanation:

To solve for x in the equation:

√(2x - 7) = 1

We can start by isolating the square root by squaring both sides of the equation:

(√(2x - 7))^2 = 1^2

2x - 7 = 1

Next, we can isolate the variable by adding 7 to both sides of the equation:

2x = 8

Finally, we can solve for x by dividing both sides by 2:

x = 4

Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.

Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

Answer:The sample mean used when computing the interval is 931.0 Dhs.

Step-by-step explanation:

In a confidence interval, the range of values is constructed around a point estimate, which is the sample mean in this case. The confidence interval provides an estimate of the population parameter, which is the mean claim payment.

In this scenario, Oman Insurance company took a random sample of 71 insurance claims paid out during a 1-year period. The resulting 95% confidence interval for the mean claim payment was (540 Dhs, 1,322 Dhs).

The midpoint of the confidence interval represents the sample mean. To find it, we take the average of the lower and upper bounds of the interval:

Sample Mean = (Lower Bound + Upper Bound) / 2

Sample Mean = (540 + 1,322) / 2

Sample Mean = 1,862 / 2

Sample Mean ≈ 931.0 Dhs (rounded to one decimal place)

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Answer:

$1172.95! pls amrk brainliest

Step-by-step explanation:

The Amount that Jenny wants to earn = $1300

The Amount that she already has = $127.05

In order to know the amount that she'll need more in order to meet her goal, we simply have to subtract the amount that she already has from the total amount that she needs.

creds to topeadeniran2

Answer:

1,172.95$

1300-127.05=1172.95

^^

Answer:

y=2x

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the answer is 2 bc if we put the y axis as how many cats in kiki's house and x axis as how many dogs were in kiki's house, we would use this equation y=kx

the k would be our unit rate and y would be our cats, x would be dogs, so we divide y to x meaning 4 divided by 2. the unit rate would be 2.

The solution is: ΔTSU ≅ ΔUVW

by vertical angles and alternate interior angles.

Here, we have,

Similarity of two triangle

Similarity: two triangle are similar (they have the same shape but generally different size) if and only if the have the same angles.

In this case, we have that:

ΔTSU ≅ ΔUVW

because they have the same angles

We know this because:

Vertical angles: when two lines are crossed, the opposite angles formed are equal. These angles are called vertical angles.

Since TS and VW are parallel

Alternate interior angles: when two parallel lines are crossed by a transversal, there are couples of angles formed that are equal. Those are called alternate interior angles.

Answer

ΔTSU ≅ ΔUVW

by vertical angles and alternate interior angles

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complete question:

Determine whether the two triangles are similar. If they are, complete the similarity statement.

The circumference of the circle is 6.28 yards.

"It  is the length of the boundary of the circle."

C = 2 × π × r, where 'r' is the radius of the circle.

For given example,

r = 1 yd.

π = 3.14

Using the formula for the circumference of circle,

⇒ C = 2 × π × r

⇒ C = 2 × 3.14 × 1

⇒ C = 6.28 yd.

Therefore, the circumference of the circle is 6.28 yards.

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Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent.

So if one of your answers have equivalent ratios, that is your answer

Answer:

1

Step-by-step explanation:

The slope can be found using the RISE/RUN equaton.

Looking at both graphs we see that they are parallel so that tells us that they have the same slope.

We can count how many boxes up and then how many boxes right this line goes to find the slope.

We also know that the slope is positive because the lines are increasing from left to right.

Answer:

-18

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Parentheses first so

7-10=-3

then the brackets

-2-3-15=-20

-4-20=-24

so thats the numerator

the denominator is

2(-1)=-2

-20/-2= ?

We can remove the negative because two negatives make a positive then we would divide by 2

20/2=10

and that's our answer! :)

if you have the sample mean and sample standard deviation (or standard error), I can assist you in calculating the 95% confidence interval based on the given data.

To calculate the 95% confidence interval for the population mean or population proportion, we need to know the sample mean, sample standard deviation (or standard error), and the sample size.

Since the problem statement provides the sample size (n = 36) but does not mention the sample mean or sample standard deviation, we cannot directly calculate the confidence interval. However, I can still explain the concept of a confidence interval and its interpretation.

A confidence interval provides a range of values within which we can estimate the true population parameter (mean or proportion) with a certain level of confidence. In this case, we're interested in estimating the likely battery life for the population of the same type of battery.

For a 95% confidence interval, we can say that if we were to repeat the sampling process and construct confidence intervals many times, approximately 95% of these intervals would contain the true population parameter.

To calculate the confidence interval, we would typically need to know the sample mean and sample standard deviation or standard error. Without this information, we cannot provide the specific confidence interval for the battery life.

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Answer:

I think it might be 0.3 i'm not sure though

Step-by-step explanation:

The inequality that represents the problem is x < 100 which means that Britney wants to spend less than $100 at restaurants  in June.

Inequality:

In math, inequality defines the non equal relationship between the expression.

Given,

Britney sets a limit on how much money she can spend at restaurants during the month of June. She divides the total amount evenly among the 5 times she expects to go to restaurants. Britney determines she should spend less than $20 each time.

Here we need to find the inequality that refers the given problem.

Let x represent how much Britney wants to spend at restaurants in June.

Here we know that, the number of time she goes in the restaurant is 5.

And the amount limit for each time is less than $20.

So, it can be written as,

=> x/5 < 20

While we solve the inequality then we get

=> x < 100

Therefore, Britney wants to spend less than $100 at restaurants in June.

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Step-by-step explanation:

The coordinate of A is 0. It is given that AR = 17. AR represents the distance from point A to point R. Remember that distance is always positive. So, from here we have two possibilities.

Point R is on Right side of A i.e. at coordinate 17

Point R is on Left side of A i.e. at coordinate -17

In both of these cases AR which is the distance from A to R will be 17.

So, if R is on Right side of A, the midpoint of AR would be:

0+17

  ÷      =  17/2  = 8.5

  2

Or if R is on Left side of A, the midpoint of AR would be:

0-17

  ÷      =  -17/2  = -8.5

  2

Thus, the possible coordinates of the midpoint of AR are 8.5 and -8.5

Answer:

- 5198/11

Step-by-step explanation:

The constant A is equal to 4.903. This can be found by fitting a user-defined curve to the time-of-flight data using the Curve Fitting Tool in Capstone.

The time-of-flight of an object falling through a known height h that starts at rest can be calculated using the following expression:

t = √(2h/g)

where g is the acceleration due to gravity (9.8 m/s²).

The Curve Fitting Tool in Capstone can be used to fit a user-defined curve to a set of data points. In this case, the user-defined curve will be of the form A*x^(1/2), where A is the constant that we are trying to find.

To fit a user-defined curve to the time-of-flight data, follow these steps:

Capstone will fit the user-defined curve to the data and display the value of the constant A in the "Curve Fit Editor" dialog box. In this case, the value of A is equal to 4.903.

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Answer:

3 units

Step-by-step explanation:

DC = \(\frac{1}{3}\) EC

5x - 9 = 6 ⇒ x = 3 units

Answer:

9)

a. A = 90*, B = 60*, and C = 30* is correct

Step-by-step explanation:

Ok so first lets look at A.

A is a right angle so it is 90 degrees.

B and C are acute angles (less than 90 degrees)

B looks like 60*

and C around 30*

Answer:

87.22 hopee helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

The system of linear equations is:

y = -1/4 x + 1

y = -2x - 1

To find the solution to the system, we need to find the point where the two lines intersect. We can do this by graphing the two lines and finding their point of intersection, or by solving the system of equations algebraically.

Using the second method, we can substitute the first equation into the second equation for y:

-1/4 x + 1 = -2x - 1

Simplifying and solving for x, we get:

15/8 x = 2

x = 16/15

Substituting this value of x into the first equation to solve for y, we get:

y = -1/4 (16/15) + 1

y = 19/15

So the solution to the system is (16/15, 19/15).

Looking at the graphs, we can see that only the first option has a point of intersection that matches the solution we found algebraically. Therefore, the graph that shows the solution to the system of linear equations is a coordinate grid with one line that passes through the points 0,1 and 4,0 and another line that passes through the points 0,-1 and 1,-3.

Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning

Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.

By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.

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\(\huge\red{\mid{\underline{\overline{\textbf{EQUATION AND ANSWER}}}\mid}}\)

_________________

Let's solve this equation using simple algebra,

Algebra - Algebra is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all mathematics

Division - Division, otherwise known as the inverse of multiplication separates a certain number into what it has been divided by.

_________________

Now that we understand the definition we can further solve this equation

\(\large\red{\mid{\underline{\overline{\textbf{Values}}}\mid}}\)

________________

Now we will add to solve this equation

\(\large\red{\mid{\underline{\overline{\textbf{Equtation}}}\mid}}\)

\(0.7x=340\)

-Use simple division

\(x=485.714286\)

This is repeating*

\(\large\red{\mid{\underline{\overline{\textbf{Answer}}}\mid}}\)

The answer is \(x=485.714286\) repeating

Answer:

x ≈ 486

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ 0.7x = 340

Then the value of x will be,

→ 0.7x = 340

→ x = 340 ÷ 0.7

→ x = 485.714285714

→ [ x ≈ 486 ]

Hence, the value of x is 486.

Answer:

9

Step-by-step explanation:

3x+8=35

3x=27

x=9