The correct solution for this question is (D) 49%.
How to find and what is probability?
The experimental probability of landing on heads can be calculated as follows:
Experimental Probability of Heads = Frequency of Heads ÷ Total Number of Flips
Total number of flips = Frequency of Heads + Frequency of Tails = 98 + 102 = 200
Experimental Probability of Heads = 98 ÷ 200 = 0.49 or 49%
Therefore, the answer is (D) 49%.
Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. It involves the measurement of the chance or likelihood of an event occurring, expressed as a number between 0 and 1, where 0 means the event will not occur and 1 means the event will certainly occur.
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How do I find the value of x, as it relates to the rectangle?
The tallest building in canada is First Canadian Place in Toronto. The tower is 298m tall, and the antenna reaches to 355mA model of the building, without the antenna is 11. 9 cm tall. What scale was used to build the model?
The scale used to represents the model of the building is given by 1:0.1532 or approximately 1:155.
Height of the tower = 298m
Actual height of the building is equal to,
= 298m + 355m
= 653m.
Use proportions to find the scale used to build the model of the building,
The height of the model without the antenna = 11.9cm.
Let x be the scale used to build the model.
This means that 1 unit on the model represents x units in real life.
Now, set up the proportion,
1 unit on the model / x = 653 meters / 100
Cross-multiplying, we get,
⇒ x = 100 / (653/1)
⇒ x = 0.1532
Therefore, the scale used to build the model is 1:0.1532 or approximately 1:155.
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a bag contains red balls and blue balls. if balls are selected at random, find the probability of selecting red balls.
The probability of selecting red balls from a bag containing both red and blue balls is equal to the number of red balls divided by the total number of balls. In this example, let's assume there are 10 red balls and 10 blue balls, so the probability of selecting a red ball would be 10/20 or 1/2, or 50%.
To explain further, the probability is the likelihood of an event occurring and is expressed as a number between 0 and 1, or a percentage between 0% and 100%. A probability of 0 means the event will never happen, while a probability of 1 means it will always happen. The probability of selecting a red ball in this example is 50%, meaning that it is equally likely to select either a red ball or a blue ball.
In other words, if the bag contained 10 red balls and 10 blue balls and you randomly selected one ball from the bag, there is a 50% chance that the ball will be red and a 50% chance that the ball will be blue.
If the number of red balls or blue balls changes, the probability of selecting a red ball would also change. For example, if the bag contained 6 red balls and 10 blue balls, the probability of selecting a red ball would be 6/16 or 3/8, or 37.5%.
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What is 4.5 divided by 12.5....I AM SO CONFUSED
can you please show me step by step and please show and don't explain..
THANK YOU
Answer: 0.36
Step-by-step explanation: 4.5÷12.5
divide 4÷12 first then .5
For each statement, provide an example showing that the statement can be true, or an explanation of why the statement can never be true.
a. Adjacent angles can be complementary.
b. Vertical angles can be supplementary.
c. Complementary angles can be supplementary.
Step-by-step explanation:
a. True
Draw a right angle.
Now draw a ray in the interior of the angle with the ray starting at the vertex of the right angle. Inside the right angle there are two complementary adjacent angles.
b. True
Draw two perpendicular lines. Each of the 4 angles formed measures 90°. Each pair of vertical angles has a sum of measures of 180°, so each pair of vertical angles is supplementary.
c. False
The sum of the measures of two complementary angles is 90°. The sum of the measures of two supplementary angles is 180°. The sum of two numbers cannot be both 90 and 180.
Three sums of money are in the ratio of 2:3:5 If if the smallest amount is $4.80,find the larger amount
Three sums of money are in the ratio of 2:3:5 .The more substantial sum is $48.
How do numbers work?In mathematics, a number is a measurement and labeling unit. The first examples are the natural numbers 1, 2, 3, 4, and so on. Words that represent numbers are known as number words.
Symbols known as numerals are typically used to represent particular numbers; for instance, the symbol for the number five is the number "5".
Because only a small number of symbols can be learned, basic numerals are frequently grouped in a numeral system, which is an organized way to represent any number.
The Hindu-Arabic number system is the most widely used, allowing any number to be represented by a combination of ten basic numerical symbols, or "digits."
2+3+5 = 10
10 × 4.8= 48
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Write an equation of the line that passes through the given points.
(5, -3), (0, -3)
question:(5, -3), (0, -3)
Step-by-step explanation:
(5, -3), (0, -3)
5, -3 / 0, -3
-3 -3=0
5+0=5
5,0,
Question 4
A local bookstore charges $6.00 to rent a movie for 3 days. Which equation models
the relationship between the number of days, x, and the amount charged, y?
O y = 1/2 x
Oy = -2x
O y = -1/2 x
O y = 2x
Answer:
Y =2x
Step-by-step explanation:
Number of days, x is 3
Amount charged, y is $6
Charge per day y : number of days x = 6:3 =2:1
y = 2x
find the derivative for the following function
y=(3x-cos2(x))4
xsec(y)-2y=sin(2x)
y=x2cos-1(x)+sqrt{1-x2}
find the equation of line normal to the curve
y=8tan(x2)at x=0.1825
The equation of the line normal to the curve y=8tan(x2) at x=0.1825 is
=> y = 0.37985x + 7.4876.
To find the equation of the line normal to the curve y=8tan(x2) at x=0.1825, we need to find the derivative of the function first.
The derivative of y=(3x-cos2(x))4 is:
y'= 12(3x-cos2(x))3(3+2sin2(x))
At x=0.1825, the derivative of the function is
y'= 12(3*0.1825-cos2(0.1825))3(3+2sin2(0.1825))= 0.37985.
Now, the equation of the line normal to the curve at the given point (0.1825, 8tan(0.18252)) is given by:
y - 8tan(0.18252) = 0.37985(x - 0.1825).
Therefore, the equation of the line normal to the curve y=8tan(x2) at x=0.1825 is y = 0.37985x + 7.4876.
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T/F a random sample is selected so that every element in the population has the same chance of being included in the sample.
True, a random sample is selected so that every element in the population has the same chance of being included in the sample.
This is an important aspect of random sampling, as it helps to ensure that the sample is representative of the entire population and that there is no bias in the selection process. By giving every element in the population an equal chance of being included in the sample, random sampling helps to reduce the potential for error and increases the likelihood that the results of the study will be accurate and reliable.
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Find the length of the third side. If necessary, round to the nearest tenth
Answer: To find the length of the third side, we need to find the length of the hypotenuse. The hypotenuse is 8 + 10 = 18. So the length of the third side is 18.
Step-by-step explanation:
A necklace is bought for $72 Later, it is sold with a profit of 15% How much is the necklace sold for?
After selling the necklace, how much money has been made?
Give your answer to two decimal places because it is a currency.
8/9 - 5/6 in the simplest form ( i am wearing wow1wow2 out i'm sooo sorry!) i'm on aleks at the current moment and need a bit of help with 2 more topics
The expression 8/9 - 5/6 in the simplest form is equal to 1/18. We got this value by getting common denominator and then subtracting.
What is denominator ?
The denominator is the bottom number in a fraction, and it represents the total number of equal parts that make up a whole. For example, in the fraction 3/5, the denominator is 5, which means that the whole is divided into 5 equal parts, and we are considering 3 of those parts.
To subtract fractions, we need to have a common denominator. In this case, the least common multiple (LCM) of the denominators 9 and 6 is 18. Therefore, we can rewrite the fractions with denominators of 18:
8/9 - 5/6 = (8/9) x (2/2) - (5/6) x (3/3)
= 16/18 - 15/18
Now that the fractions have a common denominator, we can subtract their numerators:
= (16 - 15)/18
= 1/18
Therefore, 8/9 - 5/6 in the simplest form is equal to 1/18.
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Find the coordinates of the point (x, y, z) on the plane z = 4 x +2 y + 3 which is closest to the origin.
x =
y =
z =
the point (3/8, -15/8, 0) on the plane z = 4x + 2y + 3 is closest to the origin. To find the point (x, y, z) on the plane z = 4x + 2y + 3 that is closest to the origin, we can use the concept of orthogonal projection.
The closest point will be the point on the plane that is closest to the origin, which is the orthogonal projection of the origin onto the plane.
First, we need to find the normal vector of the plane. The coefficients of x, y, and z in the equation of the plane give us the normal vector. So, the normal vector of the plane is (4, 2, -1).
Next, we need to find the projection of the origin onto the plane. The projection of a vector v onto a plane with normal vector n is given by the formula:
[tex]proj_n(v) = v - ((v . n) / ||n||^2) * n[/tex]
where "." denotes the dot product, "||n||" denotes the magnitude of the normal vector, and "proj_n(v)" denotes the projection of v onto the plane with normal vector n.
In this case, the vector v is the origin, which is (0, 0, 0), and the normal vector is (4, 2, -1). So, we can calculate the projection of the origin onto the plane as follows:
[tex]proj_n(v) = (0, 0, 0) - (((0, 0, 0) . (4, 2, -1)) / ||(4, 2, -1)||^2) * (4, 2, -1)[/tex]
= (0, 0, 0) - (0 / 21) * (4, 2, -1)
= (0, 0, 0)
Therefore, the projection of the origin onto the plane is the origin itself.
Finally, we can find the coordinates of the point on the plane that is closest to the origin by setting z = 0 in the equation of the plane:
0 = 4x + 2y + 3
Solving for y, we get:
y = (-2x - 3/2)
So, the coordinates of the point on the plane that is closest to the origin are:
x = 3/8
y = -15/8
z = 0
Therefore, the point (3/8, -15/8, 0) on the plane z = 4x + 2y + 3 is closest to the origin.
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Draw one right triangle with side lengths labeled, to fit all of the statements below.
1). 60 is the geometric mean of 36 and 100.
2). 80 is the geometric mean of 64 and 100.
3). 48 is the geometric mean of 36 and 64.
In conclusion We can start by labeling one of the acute angles of the right triangle as [tex]$\theta$[/tex]. Then we can use the trigonometric ratios of sine, cosine, and tangent to relate the side lengths to [tex]$\theta$[/tex].
How to find?We want to find side lengths a, b, and c such that:
60 is the geometric mean of 36 and 100, which means 60² = 36 × 100, or a:b = b:c = 6:10.
80 is the geometric mean of 64 and 100, which means[tex]$80\² = 64 \cdot 100$, or $a:b = b:c = 8:10$.[/tex]
48 is the geometric mean of 36 and 64, which means [tex]48\² = 36 \cdot 64$, or $a:b = b:c = 3:4$.[/tex]
To satisfy all three conditions, we can choose [tex]a = 18$, $b = 30$, and $c = 36$[/tex]. Then we have:
[tex]a:b = 6:10$, $b:c = 6:10$, so $b\²2 = ac = 18 \cdot 36$.[/tex]
[tex]a:b = 8:10$, $b:c = 8:10$, so $b\²2 = ac = 24 \cdot 30$.[/tex]
[tex]a:b = 3:4, $b:c = 3:4, so b\²2 = ac = 12 \cdot 16.[/tex]
I am attaching the diagram.
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What is the fourth term when the first term is 7 and the common ratio is 1.1?
The fourth term can be calculated by multiplying the first term by the common ratio raised to the power of[tex]4 (7 * 1.1^4 = 9.9)[/tex]. This method can be used to find the nth term of a geometric sequence.
The fourth term of a geometric sequence can be calculated using the formula Tn =[tex]ar^n-1,[/tex]where Tn is the nth term of the sequence, a is the first term, and r is the common ratio. In this case, the first term is 7 and the common ratio is 1.1. Plugging these values into the formula gives us [tex]T4 = 7(1.1)^3.[/tex]Evaluating this expression gives us the fourth term of the sequence, which is 9.9.The fourth term of a geometric sequence can also be found by multiplying the first term by the common ratio raised to the power of its term number. For example, the second term can be calculated by multiplying the first term by the common ratio raised to the power of[tex]2 (7 * 1.1^2 = 7.7)[/tex], the third term can be calculated by multiplying the first term by the common ratio raised to the power of[tex]3 (7 * 1.1^3[/tex]= 8.8), and the fourth term can be calculated by multiplying the first term by the common ratio raised to the power of [tex]4 (7 * 1.1^4 = 9.9).[/tex] This method can be used to find the nth term of a geometric sequence.
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What is the value of the expression 7 + (16 − 7) ÷ 3 + 8? (2 points)
a
12
b
15
c
17
d
18
Answer:
D: 18
Step-by-step explanation:
Apply PEMDAS
7 + (16 − 7) ÷ 3 + 8
Parenthesis: 7 + 9 ÷ 3 + 8
No exponents: n/a
Multiplication/Division: 7 + 3 + 8
Addition/Subtraction: 18
How to find a coterminal angle between 0 and 360° ?
A coterminal angle is an angle that has the same initial side and terminal side as a given angle. The difference between the angle and the coterminal angle is a multiple of 360 degrees.
The following steps can be used to find a coterminal angle between 0 and 360 degrees:
Step 1: Identify the given angle. Let's assume that the given angle is 100 degrees.
Step 2: Add or subtract multiples of 360 degrees to the given angle to obtain a new angle that has the same initial and terminal sides. To obtain the angle that is between 0 and 360 degrees, add or subtract 360 degrees from the angle until the result is between 0 and 360 degrees.There are two ways to do this.
The first method is to add or subtract multiples of 360 until the result is between 0 and 360 degrees. The second method is to divide the given angle by 360 degrees and then multiply the quotient by 360 degrees.
The first method:Subtract 360 degrees from 100 degrees to get -260 degrees. Add 360 degrees to -260 degrees to get 100 degrees, which is between 0 and 360 degrees. Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.
The second method:Divide 100 degrees by 360 degrees to get a quotient of 0.27777777778. Multiply 0.27777777778 by 360 degrees to obtain 100 degrees, which is between 0 and 360 degrees.
Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.
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Ritchie goes to a sale where all prices are reduced according to a set rule. A $100 sweater sells for $80 and a $300 jacket sells for $240. For how much would a $700 suit sell?
After answering the presented question, we can conclude that As a equation result, the $700 suit would sell for $560 during the sale.
What is equation?An equation is a mathematical statement that validates the equivalent of two expressions linked by the equal symbol '='. For example, 2x - 5 = 13. 2x-5 and 13 are two phrases. The character '=' is used to connect the two expressions. An equation is a mathematical formula that has two algebras on either side of an assignment operator (=). It illustrates the equivalency relationship between the left and middle formulas. In any formula, L.H.S. = R.H.S. (left side = right side).
We can begin by calculating the % price reduction for both the sweater and the jacket:
For the sweater, the percentage decrease is calculated as follows: (original price - reduced price) / original price * 100% = (100 - 80) / 100 * 100% = 20%
For the jacket, the initial price was $300, and the discounted price was $240.
(original price - reduced price) / (original price * 100%) = (300 - 240) / 300 * 100% = 20%
We can use the same percentage reduction to determine the lowered price of the $700 suit:
$700 was the original price.
% reduction = 20% decreased price = original price - % reduction / 100 * original price = $700 - 20 % reduction / 100 * $700 = $560
As a result, the $700 suit would sell for $560 during the sale.
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if cora drives 192 miles in three hours while traveling at a constant rate, how long will it take he to travel 352 miles if she maintains the same constant rate
Answer:
It will take 5 1/2 hours to travel 352 miles.
Step-by-step explanation:
192/3 = 64
The car is traveling at 64 miles per hour.
Distance = rate time time
352 = 64t Divide 352 by 64
[tex]\frac{352}{64}[/tex] = [tex]\frac{64t}{64}[/tex]
[tex]\frac{352}{64}[/tex] = t
5 1/2 = t
It will take 5 1/2 hours to travel 352 miles.
hi can anyone solve this question for x . B is 105
Step-by-step explanation:
The internal angles of a n-gon sum to ( n-2)(180)°
for this quadrilateral : ( 4-2)(180) = 360°
A + B + C + D = 360
105° + 105 + 90 + x = 360 ° ( I think B = 105 degrees....hard to see)
x = 60°
Maybe this is a kite
A = 90 B = 105 C = 90 then x = 75°
can someone please help me on this I need it quick
Y= 5, then x = 20/3. We could also choose a different value of y and get a different value of x, but the sum of the areas of the rectangles will always be 30 square centimeters.
Describe Rectangle?Rectangles are commonly found in architecture, engineering, and mathematics. They are used to model many real-world objects, such as doors, windows, computer screens, and paper. The shape and properties of a rectangle make it useful for many practical applications, such as calculating the area of a room or the size of a photo.
The diagonals of a rectangle are equal in length and bisect each other, forming two congruent right triangles. The length of the diagonals can be found using the Pythagorean theorem. The rectangle is also a special case of a rhombus, which has all four sides equal in length, and a square, which has all four sides equal in length and four right angles.
We know that the sum of the areas of the two rectangles is 30 square centimeters. We can use the formulas for the area of a rectangle to set up an equation:
Area of Rectangle 1 + Area of Rectangle 2 = 30
length * width + length * width = 30
Substituting the given values for the lengths of the rectangles:
3x + 2y = 30
This is a linear equation in two variables, x and y. We can solve for one variable in terms of the other:
3x = 30 - 2y
x = (30 - 2y)/3
This gives us the value of x in terms of y. We can substitute this expression for x into the equation above and solve for y:
3x + 2y = 30
3[(30 - 2y)/3] + 2y = 30
30 - 2y + 2y = 30
0 = 0
This equation is always true, which means that there are an infinite number of solutions. We can choose any value of y, and then use the expression for x in terms of y to find the corresponding value of x.
For example, let's choose y = 5. Then:
x = (30 - 2y)/3 = (30 - 10)/3 = 20/3
So, if y = 5, then x = 20/3. We could also choose a different value of y and get a different value of x, but the sum of the areas of the rectangles will always be 30 square centimeters.
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On Saturday James sold 3 1/4gallons of lemonade On the same day Taylor sold 2/3 as much lemonade as James , How much lemonade in gallons did Taylor sell
Taylor sold 13/6 gallons of lemonade, or 2 1/6 gallons (if we want to express the answer as a mixed number).
James sold 3 1/4 gallons of lemonade. We can convert this mixed number into an improper fraction:
3 1/4 = 13/4
So, James sold 13/4 gallons of lemonade.
Taylor sold 2/3 as much lemonade as James. To find out how much Taylor sold, we can multiply James' sales by 2/3:
(2/3) x (13/4) = (2x13)/(3x4) = 26/12
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:
26/12 = (2x13)/(2x6) = 13/6
Therefore, Taylor sold 2 1/6 gallons, or 13/6 gallons, of lemonade (if we want to express the answer as a mixed number).
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tell how the transformed function, g(x), compares to the parent function, f(x). a. f(x)=5^x+2; g(x)=5^-x+6
answer
Considering the provided functions, we are going to analyze which transformations were applied to f (x), to convert it into g (x), then let's look at the graph of the functions:
Here, we can see that the function f(x) has been reflected over the x-ayes, vertically stretched by a factor of 2, and translated 5 units to the right. Then the correct answer is the option C.
Step-by-step explanation:
What is the equation for a line that passes through the points (6,-4) and (-12,26)?
Answer: y= -(5/3)x+6
Step-by-step explanation:
First I want to find the slope fo the line:
Between the points, the x value changes by 18 (-12 to 6) and the y value changes by -30 (26 to -4). To find slope we do rise/run so -30/18 is the slope. Simplified this is (-15/9) = (-5/3)
Next we should find the Y intercept:
The point (-12,26) is 12x away from the Y intercept line. Given the slope of -5/3, we know that for every 3x, the y level decreases by 5. Since 3 goes into 12 4 times, the y level decreases by 5*4 = 20 before it hits the y intercept. The previous y value for the point is 26 so 26-20 = 6. Y intercept is 6.
Plug into y=mx+b
y= -(5/3)x+6
a theory is a. a statement about the probable relationships among a set of abstract variables. b. a complex mathematical equation relating quantitatively measurable variables. c. a completely unverified statement about how the world works. d. the factual outcome of experimentation.
A theory is a statement about the probable relationships among a set of abstract variables. therefore, option a. (a statement about the probable relationships among a set of abstract variables) is correct.
A theory is a collection of interrelated facts, concepts, assumptions, and generalizations that offer a systematic view of natural phenomena, and help explain and forecast their behavior or aspects of them.
A scientific theory, on the other hand, is an explanation of some phenomena that is supported by a vast amount of data that has been accumulated over a long period of time, and has withstood numerous attempts to disprove it. Therefore, option A "a statement about the probable relationships among a set of abstract variables" is the correct answer.
which is a markup language for the creation of web pages and other information that can be displayed on the internet. It is based on a series of tags that are used to define the structure and content of a web page. HTML can be used to add text, images, videos, and other multimedia elements to a web page.
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what are the missing numbers of 18t+9=9(_+_)
Using simple mathematical operations we know that the complete expression would be: 18t+9=9(5 - 2)
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
The operation's arity is determined by the number of operands.
Parentheses, exponents, multiplication, division, addition, and subtraction are the orders in which operations must be performed, according to the order of operations.
So, we have:
18t+9=9( - )
18t + 9 -(9(-)) = 0
18t + 9 - (90) = 0
18t - 81 = 0
18t = 81
t = 81/18
t =4+1/2
Therefore, using simple mathematical operations we know that the complete expression would be: 18t+9=9(5 - 2)
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Correct question:
What are the missing numbers of: 18t+9=9( - )
given:ABCD is a square Complete the following.
1 If AB=10,thenAD=_________and DC=________
2 If CE= 5,then DE=_____________
3 m
4 m
5 m
Step-by-step explanation:
AD= 10cm DC=10cm
while in part 2
DE= 5m
will give you brainliest answer
Enlarge shape A by scale factor 2 with centre of enlargement (-3, -5).
What are the coordinates of the vertices of the image?
Hey uh...I tried putting in an answer. It was too long too. So I hope my pdf would work. *Nervous sweating*
Precalculus
Chapter 4
1. g(x) = 0.875^x and j(x) = 1095.6^−2x represent exponential functions.
2. f(x) = 2(1.5)^x
The initial value is 2, and the base is 1.5.Hence, the given functions g(x), j(x), and f(x) represent exponential functions.
The given function g(x) = 0.875^x and j(x) = 1095.6^−2x represent exponential functions. Also, the function f(x) = 2(1.5)^x is given. Exponential Functions: Exponential functions are the functions that can be represented in the form of f(x) = ab^x, where a is a constant and b is a constant that is greater than 0 and not equal to 1. Here, a is known as the initial value, and b is known as the base. The domain of the exponential functions is all real numbers, and the range is all positive numbers.
The given functions can be written as:1. g(x) = 0.875^x => This is the form of the exponential function, where a=1, and b=0.875. Therefore, the initial value is 1, and the base is 0.875.2. j(x) = 1095.6^−2x => This is the form of the exponential function, where a=1, and b=1095.6^−2. Therefore, the initial value is 1, and the base is 1095.6^−2.3. f(x) = 2(1.5)^x => This is the form of the exponential function, where a=2, and b=1.5. Therefore, the initial value is 2, and the base is 1.5.Hence, the given functions g(x), j(x), and f(x) represent exponential functions.
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