The image shows the graph of the circle

Image of prob below:

When the equilibrium point is above the potential GDP line, the economy is experiencing inflationary pressure.

In the AD/AS model, whether the economy is in a recession is illustrated by how close the equilibrium is to the potential GDP line. The potential GDP line represents the maximum level of output that an economy can produce with its existing resources and technology.What is the AD/AS model?The AD/AS model is a graphical representation of the macroeconomic relationship between aggregate demand (AD) and aggregate supply (AS). This model is used to explain the behavior of the economy by demonstrating how changes in the level of aggregate demand and aggregate supply can impact the economy's level of output and prices.

The model's AD curve represents the total demand for all goods and services in an economy at different price levels. The AS curve represents the total supply of all goods and services in the economy at different price levels.

The intersection of the AD and AS curves represents the equilibrium point where the economy's output level and price level are determined. The economy is in a recession when the equilibrium point is below the potential GDP line.

for such more questions on equilibrium point

https://brainly.com/question/29078763

#SPJ11

The value of ∠K is 78°

The tangent of a circle is a straight line that touches the circle at exactly one point, and it is perpendicular to the radius of the circle at that point.

Given that, a tangent JK is lying on the circle H whose radius are HJ and HM,

So, ∠HMJ = ∠HJM = 84°

and JK ⊥ HJ   (JK is a tangent on radius HJ)

So, ∠HJK = 90°

∠HJM + ∠MJK = ∠HJK

84° + ∠MJK = 90°

∠MJK = 6°

Using exterior angle property;

∠MKJ + ∠MJK = ∠HJM

∠MKJ + 6° = 84°

∠MKJ = 84° - 6° = 78°         (∠MKJ means ∠K)

Therefore, ∠K = 78°

To know more about circle, visit:

https://brainly.com/question/8952990

#SPJ1

The surface area of the cylinder is approximately 127.17 cm².

Surface area of cylinder is the total space covered by the flat surfaces of the bases of the cylinder and its curved surface. The formula for the surface area of a cylinder is: 2πr² + 2πrh.

To solve this problem, we first need to find the radius of the cylinder. The diameter of the cylinder is 3 cm, so the radius is half of that:

r = 3/2

= 1.5 cm

We need to substitute the values we know into the formula for surface area:

= 2π(1.5)² + 2π(1.5)(12)

= 2π(2.25) + 2π(18)

= 4.5π + 36π

= 40.5π

We will now approximate the value of π to get the numerical answer, so, our Surface Area will be:

= 40.5π

= 40.5 * π

= 40.5 * 3.14

≈ 127.17 cm²

Answered question "A cylinder is 12 cm tall and has a diameter of 3 cm. What is the surface area?"

Read more about surface area

brainly.com/question/28178861

#SPJ1

Xavier rode 7.5 miles and Aiguo rode twice as much, or 15 miles.

Let x be the number of miles Xavier rode. Since Aiguo rode twice as many miles as Xavier, let 2x be the number of miles Aiguo rode.

Together, they rode a total of 22.5 miles, so we have the equation:

x + 2x = 22.5

Simplifying, we will get:

3x = 22.5

x = 22.5/3

x = 7.5

We can check our answer by verifying that the sum of their distances is indeed 22.5 miles:

= 7.5 + 15

= 22.5

Therefore, the solution is x = 7.5 and y = 15.

Read more about distance

brainly.com/question/26550516

#SPJ1

The sample proportion would be 0.5.we can calculate the proportion by plugging in n = 90, which yields a proportion of 0.5.

To determine what sample proportion would yield a p-value of 0.05, we must first understand the formula for calculating a p-value. The formula for a p-value is p-value = 1 - [tex](1 - proportion)^n[/tex], where n is the sample size. By manipulating this equation, we can solve for the proportion when the p-value is equal to 0.05. We can isolate the proportion by taking the inverse of both sides of the equation, which yields: proportion = 1 - [tex](1 - 0.05)^(1/n)[/tex]. Since the sample size is 90, we can calculate the proportion by plugging in n = 90, which yields a proportion of 0.5.

Learn more about sample  here

https://brainly.com/question/25894237

#SPJ1

Answer: x 3= 27/125

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The red graph is obtained by shifting the graph of f(x) = 4 - x² upwards by some amount. We can see that the highest point on the red graph occurs at x = 0, where the value is 4.

To shift the graph of f(x) upwards by 3 units, we can add 3 to the entire function:

f(x) + 3 = 4 - x² + 3

= 7 - x²

So the equation of the red graph is:

g(x) = 7 - x²

Therefore, the correct answer is option C: g(x) = 7 - x².

The population of the city will be approximately 597,543 people after 11 years.

We can solve this problem using the formula for exponential growth:

[tex]N = P(1 + r)^t[/tex]

where:

N = final population

P = initial population

r = annual growth rate (as a decimal)

t = number of years

In this case, we have:

P = 370,000

r = 0.0475 (since the annual growth rate is 4.75%)

t = 11

Substituting these values into the formula, we get:

[tex]N = 370,000(1 + 0.0475)^{11}[/tex]

Using a calculator, we can simplify this expression to:

N = 597,542.64

Learn more about exponential here https://brainly.com/question/28596571

#SPJ4

Answer:

The answer is

-7/8 + 3/10

Step-by-step explanation:

See the picture

Hope you understand :)

The corrected version has a base of 0.7, representing exponential decay, and has the function[tex]y = a(1-r)x[/tex] as [tex]y = 2.55(0.7)x[/tex] with a [tex]0.3[/tex] decay factor.

Explain function?

A function is a link or statement that contains one or more values. Both inputs and outputs are numerous. With each input, there is only one output. The links between the inputs and the results are described by the function.

The error the student made is in Step 2 where they incorrectly wrote the function in the form [tex]y = a(1-r)*.[/tex]The correct form for exponential decay is [tex]y = a(1-r)^x[/tex], where x is the number of time periods. So, the correct equation for the given function is [tex]y = 2.55(0.7)^x.[/tex]

To find the decay factor, the student should have subtracted the base from 1, instead of multiplying it by -1. Therefore, the correct decay factor is [tex]1 - 0.7 = 0.3.[/tex]

So, the corrected version of the solution is:

Step 1: As the function's base is[tex]0.7[/tex], it simulates exponential decay.

Step 2: The function in the form [tex]y = a(1-r)^x is y = 2.55(0.7)^x.[/tex]

Step 3: The decay factor is [tex]0.3.[/tex]

To know more about function visit:

brainly.com/question/11624077

#SPJ1

Answer:

157 pounds I'm pretty sure the equation would be 1.65c=p

Step-by-step explanation:

p is 1 because no given varible since p=1 pound 1.65 would equal p they 157 pounds bc 260.10/1.65 gives you 157 rounded

Therefore, the mean salary paid to the office assistants in this company is $24,000.Answer: B. $24,000

A large company has offices in two locations, one in New Jersey and one in Utah. The mean salary of office assistants in the New Jersey office is $28,500. The mean salary of office assistants in the Utah office is $22,500. The New Jersey office has 128 office assistants and the Utah office has 32 office assistants. The mean salary paid to the office assistants in this company can be calculated by taking the weighted average of the mean salaries of the two offices.
Here's the formula to calculate the weighted average:
Weighted average = (weight1 × value1 + weight2 × value2) / (weight1 + weight2)
Where weight represents the number of data points, and value represents the mean salary of office assistants.
In this question, the weight of the New Jersey office is 128, and the weight of the Utah office is 32. The value of the New Jersey office is $28,500, and the value of the Utah office is $22,500.
Now let's plug in the values:
Weighted average = (128 × 28,500 + 32 × 22,500) / (128 + 32)
= (3,648,000 + 720,000) / 160
= 24,000

for such more questions on Weighted average

https://brainly.com/question/28507971

#SPJ11

The equation of the quadratic function that passes through these points is:

[tex]y = -3x^2 - 12x - 8.[/tex]

What is quadratic equation?

A quadratic equation is a polynomial equation of the second degree, which means it contains one variable with an exponent of 2. The general form of a quadratic equation is:

[tex]ax^2 + bx + c = 0[/tex]

Using polynomial interpolation with these 5 points, we can find a quadratic polynomial that passes through all the points. Let the equation of the polynomial be [tex]y = ax^2 + bx + c[/tex].

Using the point (0, -8), we get:

[tex]-8 = a(0)^2 + b(0) + c[/tex]

c = -8

Using the point (-1, 1), we get:

[tex]1 = a(-1)^2 + b(-1) - 8[/tex]

a - b = 9

Using the point (-3, 1), we get:

[tex]1 = a(-3)^2 + b(-3) - 8[/tex]

9a - 3b = 27

Using the point (-4, -8), we get:

[tex]-8 = a(-4)^2 + b(-4) - 8[/tex]

16a - 4b = 0

Using the point (-2, 4), we get:

[tex]4 = a(-2)^2 + b(-2) - 8[/tex]

4a - 2b = 12

Solving this system of equations, we get:

a = -3

b = -12

c = -8

Therefore, the equation of the quadratic function that passes through these points is:

[tex]y = -3x^2 - 12x - 8.[/tex]

To learn more about quadratic equation visit:

https://brainly.com/question/1214333

#SPJ1

The function f a. f(0) represents the bonds after 0 years. That is the immediate value of bond in dollars at 0 year. b. f(4.5) represents the value of the bond 4.5 years later.

A function in mathematics is a rule that designates a certain output value for each input value. Each input from the domain has precisely one output in the range, forming a relationship between two sets known as the domain and the range. The letter f(x), where x is the input variable and f(x) is the output variable, is a common way to represent a function. The output variable is specified by the function's rule, but the input variable can accept any value from the function's domain.

For the given graph of the function:

a. f(0) represents the bonds after 0 years. That is the immediate value of bond in dollars at 0 year.

b. f(4.5) represents the value of the bond 4.5 years later.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ1

Answer:

Step-by-step explanation:

Your equation is 0.75L +  0.5L + x = 2L
x = Orange juice

0.75L + 0.5L = 1.25L
2L - 1.25L = 0.75L

[tex]\frac{0.75L}{2L}[/tex] is your fraction
[tex]\frac{75}{200}[/tex]  simplified is [tex]\frac{3}{8}[/tex]
I hope this helped,

this is incorrect because the length of the long sides cannot be expressed in terms of just y. We need additional information about the dimensions of the rectangle to determine the length of the long sides.

a) The equation that represents this situation is:

2x + 2y = 175

where x is the length of the short sides (in feet) and y is the length of the long sides (in feet).

b) The equation in terms of y is:

2(6) + 2y = 175

which simplifies to:

12 + 2y = 175

2y = 163

y = 81.5

However, this is incorrect because the length of the long sides cannot be expressed in terms of just y. We need additional information about the dimensions of the rectangle to determine the length of the long sides.

Learn more about length here

https://brainly.com/question/13194650

#SPJ4

Opioids are a class of drugs that include both prescription painkillers, such as oxycodone, hydrocodone, and fentanyl, and illegal drugs, such as heroin.

Opioids are highly addictive and can lead to physical dependence and addiction with prolonged use. They can also cause a range of negative side effects, including drowsiness, confusion, constipation, nausea, and respiratory depression, which can be life-threatening in high doses.

Opioid addiction has become a major public health crisis in many countries, including the United States, where it has been linked to a dramatic increase in overdose deaths.

The numbers that match the phrases are;

1 - j

2 - c

3 - b

4 - a

5 - i

6 - d

7 - e

8 - f

9 - j

10 - h

Learn more about opioids:https://brainly.com/question/31021625

#SPJ1

The total students who are going on the field trip are 320 students out of 400 students which has been obtained by using the concept of fractions.

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

If 4 out of 5 students are going on the field trip, then the fraction of students going on the field trip is 4/5.

To find out how many students are going on the field trip, we can multiply this fraction by the total number of students:

Number of students going on the field trip = (4/5) x 400

Number of students going on the field trip = 320

Therefore, 320 students are going on the field trip.

To know more about fraction visit:

https://brainly.com/question/78672

#SPJ1

The equation of the circle is 16 x^2 + 16x +16 y^2- 4y -45 =0  

Here the center of circle is at (1/2, 1/4 ) and radius is √ 3

The equation of a circle with center (h , k) and radius r is given by

(x - h)^2 + ( y - k)^2 = r^2

Here it is given that the center of circle  (-1/2 , 1/4) = (h, k) and radius r= √ 3

Therefore the equation of required circle is

(x - (-1/2) )^2 + (y-1/4)^2= √ 3^2

=> x^2  + 1/4 + x + y^2 +1/16 - 4y= 3

=> 16x^2 + 4 +16x+ 16 y^2 -4y +1= 48

=>16 x^2 + 16x +16 y^2- 4y -45 =0

therefore the required equation of circle is

16 x^2 + 16x +16 y^2- 4y -45 =0

To know more about the equation of circle :-

https://brainly.com/question/30997261

Answer: d

Step-by-step explanation:

the slope is positive 200 because she is gaining 200 points for every minute which is x. 200x or 200 multiplied by x is her slope and her y intercept is 3200

Answer:

Step-by-step explanation:

EZ

its 21

By using circumference of circle, we find that In one slice of pizza you will get about 8 olive pieces from Mario's Pizzeria.

The circumference of circle of a 20-inch diameter pizza can be calculated as follows:

Circumference = π × diameter

Circumference = 3.14 × 20

Circumference = 62.8 inches

If there is at least one olive piece per inch of crust, then there will be 62.8 olive pieces on the outer crust of the entire pizza.

If the pizza is cut into eight slices, each slice will have 1/8th of the total circumference of the pizza. Therefore, each slice will have:

62.8 inches ÷ 8 slices = 7.85 inches of outer crust

Since there is at least one olive piece per inch of crust, each slice will have approximately 8 olive pieces on the outer crust.

Therefore, you can expect to get about 8 olive pieces in one slice of pizza from Mario's Pizzeria.

To know more about circumference of circle:

https://brainly.com/question/26605972

#SPJ4

The prime factors or the prime numbers whose product is 51 are 3 and 17.

What is the operation of prime numbers?

The operation of prime numbers refers to the various mathematical operations that can be performed using prime numbers. Prime numbers are positive integers that have exactly two divisors, 1 and the number itself. Some of the important operations involving prime numbers include:

Now,

If you meant to ask for the prime factors of 51, then they are 3 and 17.

because 51 is divisible by 3 because 5+1=6

and after dividing 51/3=17 which is also a prime number.

Hence,

            the prime factors of 51 are 3 and 17.

To know more about Prime numbers visit the link

brainly.com/question/881160

#SPJ1

Step-by-step explanation:

If your age is ' a ' then your max heart rate = 220 - a

According to the information provided, k and m are crossing lines with an angle of 86°. We know this because k and m are straight lines.

The angles add up to 180 degrees.

Then we receive,

[tex]a + 86 =180[/tex]

Or, a = 180 -86

Or, a = 94°.

As a result, an is 94°.

The angle an is 94 degrees.

Supplementary angle are formed when two angles add to 180 degrees. When additional angles are added together, they form a straight angle, or 180 degrees. In these other words, if indeed the sum of angles 1 and 2 equals 180 degrees, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" to one another in this context.

To know more about angle click here

brainly.com/question/29015700

#SPJ9

when some syrup from a bottle was poured into the container, it got half full. The volume of the syrup poured from the bottle into the container in millimeters is 576,000 cubic millimeters.

Since for solving the problem we need to find the volume of the container in millimeters. We are given the length, breadth, and height which are 12 cm,8 cm, and  36 cm.Now the volume of the container is:

V = l x w x h = 12 cm x 8 cm x 36 cm = 3,456 cubic cm. Now  we convert the above result  into millimeters by  multiplying by 1,000, so we get V= 3456 x 1000= 34560000 cubic mm

Now to find the volume of the syrup that was poured into the container,  we know that the container was one-third full before the syrup was added and half full after the syrup was added.onsidering x to be the volume of the syrup poured from the bottle into a container and n to be the volume of the syrup in the container after it was added:

1/3(V) + x = 1/2(V), where v is the  volume of the container in millimeters, so we substitute the calculated value of the volume we get :

=>1/3(V) + x = 1/2(V)

=>x = 1/2(V) - 1/3(V)

=> x = 1/6(V) = 1/6(3,456,000)  = 576,000 cubic mm

To know more about volume refer to the link brainly.com/question/1578538

#SPJ4

Answer:

1 ft per 4 seconds

120 seconds

72 seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find out how much more fabric is required for the chair than the footstool, we need to subtract the amount of fabric required for the footstool from the amount of fabric required for the chair.

The amount of fabric required for the chair is 5/7 of a yard.

The amount of fabric required for the footstool is 2/3 of a yard.

So to find the difference, we need to subtract:

5/7 - 2/3

To do this, we need to find a common denominator, which is 21 in this case. We get:

(15/21) - (14/21) = 1/21

Therefore, Aron needs 1/21 more yard of fabric to cover the chair than the footstool.

To measure central tendencies in the data collected from the Consumer Price Index (CPI), the dental director should use measures of central tendency, such as the mean, median, and mode.

The mean is the average of a set of numbers and is calculated by adding all the numbers together and then dividing by the total number of numbers. The median is the middle number when the numbers are placed in order from least to greatest. The mode is the number that appears most often in a set of numbers.

Using these measures of central tendency will allow the dental director to gain a better understanding of the CPI data, as they will be able to identify the center point of the data and also see how frequently particular values appear. This can help in making informed decisions about policies and other changes.

See more about measure at: https://brainly.com/question/20904592

#SPJ11

Step-by-step explanation:

For Part A, use the function f(x) to find the average of tests taken.

X is number of test taken

f(x) is the average score given said num of tests taken,x,

We want after test number 3 so using the function,

[tex]f(x) = 0.2x + 79[/tex]

Plug in. 3 for x, and we will get our answer.

[tex]f(3) = 0.2(3) + 79 = 79.6[/tex]

Part B: Use the table for the answer.

When 2 test are taken, the average test score is

84

So part B is 84.

Part C:

[tex]f(2) = 0.2(2) + 79 = 79.4[/tex]

[tex]g(2) = 84[/tex]

Since

[tex]g(2) > f(2)[/tex]

The science class had a higher average after 2 tests

Answer:

you shoulda payed attention in class

Step-by-step explanation:

also u know it's bad when the test is so hard you can't even cheat on it