Which function does this graph represent?

Clοsure: Clοsure is a Gestalt principle οf grοuping that states that the brain is predispοsed tο fill in the gaps in an image tο make a cοmplete picture.

A circle is a shape that cοnsists οf all pοints in a plane that are at an equal distance frοm a given pοint called the center. This distance is knοwn as the radius. A circle is οne οf the mοst basic shapes in geοmetry, and it is alsο the mοst symmetrical. Circles can be used tο make a variety οf οther shapes, such as triangles, squares and pοlygοns. Circles are alsο used tο represent many ideas and cοncepts, such as infinity, unity and perfectiοn.

In the illustratiοn, the gaps between the circles are filled in with a sοlid cοlοr, suggesting that the circles are all cοnnected and fοrm a cοmplete image.

b. Prοximity: Prοximity is a Gestalt principle οf grοuping that suggests that elements that are clοse tοgether are perceived as related. In the illustratiοn, the circles are arranged in a grid pattern, with each circle clοse tο several οther circles. This arrangement implies that the circles are related tο each οther.

c. Cοntinuity: Cοntinuity is a Gestalt principle οf grοuping that suggests that elements that are arranged in a curved οr linear pattern are seen as related. In the illustratiοn, the circles are arranged in a curved pattern, suggesting that they are all part οf the same image.

d. Illusοry Cοntοurs: Illusοry cοntοurs is a Gestalt principle οf grοuping that suggests that elements that are arranged in a pattern can give the impressiοn οf a three-dimensiοnal οbject. In the illustratiοn, the circles are arranged in a pattern that gives the impressiοn οf a curved οbject.

To know more about circle refer the below link

https://brainly.com/question/8952990

#SPJ1

Answer:

it's c

y < x

y < 2

Step-by-step explanation:

Hope this helps have a nice day!!!

:)

Answer:

7

Step-by-step explanation:

An exponential function can represent growth or decay.

The graph represents an exponential growth function is given by  \(y = ab^{x}\).

An exponential function is represented as:

\(y = ab^{x}\)

Where:

a represents any constant value.

b represents the growth or decay rate of the function

When the value of b is greater than 1, then the exponential function represents growth

Graph shown below represents an exponential growth function.

Hence, the graph representing an exponential growth function is graph traced by \(y = ab^{x}\).

Learn more about exponential functions at:

brainly.com/question/11464095

#SPJ4

The angle between vectors a = i - 5j and b = -5i + 12j is approximately 164 degrees to the nearest degree.

To find the angle between two vectors, we can use the dot product formula:

a · b = |a| |b| cosθ

where a · b is the dot product of vectors a and b, |a| and |b| are the magnitudes of vectors a and b respectively, and θ is the angle between the two vectors.

First, we need to calculate the magnitudes of vectors a and b:

\(|a| = sqrt(1^2 + (-5)^2) = sqrt(26)|b| = sqrt((-5)^2 + 12^2) = 13\)

Next, we need to calculate the dot product of vectors a and b:

a · b = (1)(-5) + (-5)(12) = -65

Now we can substitute these values into the dot product formula to solve for the angle θ:

-65 = sqrt(26) * 13 * cosθ

cosθ = -65 / (sqrt(26) * 13) = -0.9765

Taking the inverse cosine of -0.9765, we get:

θ = 164.43 degrees

Therefore, the angle between vectors a = i - 5j and b = -5i + 12j is approximately 164 degrees to the nearest degree.

To know more about vector refer to-

https://brainly.com/question/29740341

#SPJ11

Answer: I think this is what the top answer meant. Let me know if I am wrong though!

After 3.5 days, the plant is 5.75 centimeters tall, and after 4.5 days, it is 6.25 centimeters tall.

Given that a function h = 0.5d + 4 showing the height h of a plant in d days,

So, the equation of the line is:

h = 0.5d + 4

For 3.5 days put d = 3.5,

h = 0.5(3.5) + 4

h = 5.75 cm

To find the number of days after height of the plant is 6.25 centimeters.

Put h = 6.25,

6.25 = 0.5d + 4

2.25 = 0.5d

d = 4.5 days

Hence, the plant is 5.75 centimeters tall after 3.5 days and 6.25 centimeters tall after 4.5 days.

Learn more about functions here:

https://brainly.com/question/31062578

#SPJ4

Complete question is attached.

Answer:

7723

Step-by-step explanation:

Trust me I'm just as confused as you are.

Using proportions, it is found that with an income of $57,890, you need to pay $12,735.8 in taxes.

A proportion is a fraction of a total amount.

In this problem, for incomes from $38,701 up to $82,500, you need to pay 22% in taxes. An income of $57,890 is in this range, hence the amount paid is given by:

A = 0.22 x 57890 = $12,735.8.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ2

The volume of the cone is (5/3)π(9²) cubic units ≈ 381.7 cubic units.

The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the circular base and h is the height of the cone. However, we are given the base area B instead of the radius, so we need to find the radius first.

We know that the area of a circle is A = πr², so if the base area of the cone is B = 5π square units, then πr² = 5π, which means r² = 5. Solving for r, we get r = √5.

Now that we have the height h = 9 units and the radius r = √5 units,

we can use the formula for the volume of a cone:

V = (1/3)πr²h.

Substituting the values, we get

V = (1/3)π(√5)²(9) = (5/3)π(9²) cubic units, which simplifies to ≈ 381.7 cubic units.

learn more about volume here:

https://brainly.com/question/31211180

#SPJ4

The provided Python program prompts the user for a year and determines if it is a leap year using a single if statement and Boolean operators, based on the given conditions.

Here's a Python program that asks the user for a year and determines whether it is a leap year based on the given conditions:

year = int(input("Enter a year: "))

if (year % 4 == 0 and year % 100 != 0) or year % 400 == 0:

   print(year, "is a leap year.")

else:

   print(year, "is not a leap year.")

In this program, we use the input() function to prompt the user to enter a year. The entered value is then stored in the year variable as an integer.

The if statement checks the conditions for a leap year using Boolean operators. It first checks if the year is divisible by 4 with no remainder (year % 4 == 0). It also checks that the year is not divisible by 100 (year % 100 != 0). If either of these conditions is true, or if the year is divisible by 400 with no remainder (year % 400 == 0), then it is a leap year. Otherwise, it is not a leap year.

The program then outputs the result accordingly.

You can run this program and enter any year to see if it is a leap year or not.

To learn more about Python program visit : https://brainly.com/question/26497128

#SPJ11

Answer:

\(\boxed{\boxed{\sf 3(x+8y)}}\)

Step-by-step explanation:

\(\sf 3x+24y\)

Factor out the GCF( Write GFC first, then, in parentheses divide each term by the GCF).

GCF: → 3

\(\leadsto\sf \textsf{\:}3\left(\cfrac{3x}{3}\:+\cfrac{24y}{3}\right)\)

Simplify each term in parentheses:

\(\leadsto\sf 3(x+8y)\)

_______________________________________

Answer:

A. 3(x+8y)

Step-by-step explanation:

Just did it

Answer:

I only want free points

Step-by-step explanation:

Thank you for the free points.

Answer: William will pay $ 330.76 more interest than Shani at the end of 3 years.

Step-by-step explanation:

Compound interest = \(P((1+r)^t-1)\) , P= principal , r= rate of interest , t= time

Given: P = $5000 , t= 3 years

For Shani , r= 4% = 0.04

Compound interest = \(5000((1+0.04)^3-1)\)

\(=5000(1.124864-1)\\\\=5000(0.124864)\\\\=\$\ 624.32\)

For William, r= 6%= 0.06

Compound interest = \(5000((1+0.06)^3-1)\)

\(=5000(1.191016-1)\\\\=5000(0.191016)\\\\=\$\ 955.08\)

Difference = $ ( 955.08- 624.32)

= $ 330.76

Hence, William will pay $ 330.76 more interest than Shani at the end of 3 years.

Using a calculator, the linear regression equation that represents this set of data is:

y = 16.3x + 119.

Using the equation, profits would reach 420 thousand dollars during the year of 2030.

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given by:

(0, 113), (1, 142), (2, 162), (3, 161), (4, 171), (5,210).

Inserting these points into the calculator, the equation is:

y = 16.3x + 119.

The year it would reach 420 thousand dollars is x years after 2012, considering that y = 420, hence:

420 = 16.3x + 119

16.3x = 301.

x = 301/16.3

x = 18.47.

2012 + 18.47 = 2030.47, hence profits would reach 420 thousand dollars during the year of 2030.

More can be learned about a line of best fit at https://brainly.com/question/22992800

#SPJ1

Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

Answer:?

Step-by-step explanation:

Answer:

y-intercept: 3

slope: -3

Step-by-step explanation:

The y-intercept is the point at which a line crosses the y-axis, which means that the y-intercept must be (0, y). The only value at which x is 0 is (0, 3), so the y-intercept is 3.

The definition of slope is rise over run, or:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Choose any two coordinates and replace the values in:

\(m=\frac{6-3}{-1-0} \\m=\frac{3}{-1}\\m=-3\)

Answer:

c

Step-by-step explanation:

Answer:

..........c............

Answer:

See explanation

Step-by-step explanation:

40% of the original $54 is $21.60, therefore the pants are $21.60 off of their original price. This makes the pants $32.40.

20% of the new $32.40 is $6.48, therefore the pants are $6.48 off of the 40%-off price. This makes the pants $25.92 for their final price.

\(\boxed{The\:value\:of\:x\:is\:7.375.}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\((4x - 5)2 = 49 \\ ⇢8x - 10 = 49 \\⇢8x = 49 + 10 \\ ⇢8x = 59 \\ ⇢x = \frac{59}{8} \\ ⇢x = 7.375\)

Therefore, the value of x is 7.375.

\({ \bf{ \underbrace{To\:verify :}}}\)

\((4x - 5)2 = 49 \\ ⇢(4 \times 7.375 - 5)2 = 49 \\ ⇢(29 .5 - 5)2 = 49 \\ ⇢24.5 \times 2 = 49 \\ ⇢49 = 49 \\ ⇢ L.H.S.=R. H. S\)

Hence verifed.

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer:

=-1.66

Step-by-step explanation:

The distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

The time, t = π / 2 sec,

Calculate the distance by using the formula given below,

\(Distance = r\times time\)

So, for distance, a = 1 × π / 2 =  π / 2

for distance, b = 1 × π =  π

for distance, c = 1 × 3 π / 2 =  3 π / 2

Therefore, the distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

To know more about distance:

https://brainly.com/question/15256256

#SPJ1

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

Learn more about cylinder at:

https://brainly.com/question/9554871

#SPJ1

To make a stem-and-leaf display, we will separate the ages into stems based on the tens digit and leaves based on the ones digit.

Therefore, the stem-and-leaf display of the age distribution is:

1 | 6

2 | 6 8 9

3 | 3 7 8

4 | 1 3 6 7 8 9

5 | 3 5

6 | 3 4 5 8

A stem-and-leaf display is a graphical representation of a set of data. It is a way to organize and display data in a way that allows for easy interpretation and comparison of the data.

In a stem-and-leaf display, the data is separated into two parts: the stem and the leaf. The stem represents the tens digit of each data point, and the leaf represents the ones digit. For example, the number 47 would be represented as a stem of 4 and a leaf of 7.

The stems are listed vertically, and the leaves are listed horizontally next to their respective stems. The leaves are usually listed in increasing order.

Learn more about Standard Distribution here:

https://brainly.com/question/27275125

#SPJ4

Answer:

Quelles caractéristiques ces mots ont-ils en commun ? Cliquez sur tout ce qui s'applique.

Step-by-step explanation:

A confidence interval with a 99% confidence level for true average lifetime is (992.35, 1390.85).

In the given question we have to calculate a confidence interval with a 99% confidence level for true average lifetime.

From the given question;

Sample n = 43

Sample Mean x = 1191.6

Standard Deviation s=506.6

A confidence interval with a 99%(0.99) confidence level for true average lifetime.

CI = x± \(z_{\alpha /2}\cdot\frac{s}{\sqrt n}\)

Now finding the value of \(z_{\alpha /2}\)

α=1-0.99

α=0.01

α/2=0.005

\(z_{\alpha /2}=z_{0.005}\)

From the standard table of z

\(z_{\alpha /2}\) = 2.58

Now putting the value in the formula

CI = 1191.6±2.58* 506.6/√43

CI = 1191.6±2.58* 506.6/6.56

CI = 1191.6±2.58* 77.23

CI = 1191.6±199.25

CI = {(1191.6-199.25), (1191.6+199.25)}

CI = (992.35, 1390.85)

To learn more about confidence interval link is here

brainly.com/question/24131141

#SPJ4

Using the speed - distance relationship, the number of minutes it will take Josiah to cover a distance of 2.5 miles is 30 minutes.

Calculating Josiah's speed :

Speed = (3 ÷ 36) = 0.08333 miles per minute.

Time taken to cover a distance of 2.5 miles :

Time taken = (2.5 ÷ 0.08333) = 30 minutes

Therefore, it will take 30 minutes for Josiah to cover a distance of 2.5 Miles

Learn more : https://brainly.com/question/18112348