Answer:
1. Multiplicative identity:
The number 1; when multiplied by any number, the value of the number does not change.
2. Multiplicative inverse:
The reciprocal of a number; the product of a number and its multiplicative inverse is 1.
3. Commutative property:
a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value
4. Additive identity:
The number 0; when added to any number, the value of the number does not change.
5. Additive inverse:
The opposite or negative of a number; the sum of a number and its additive inverse is 0
6. Associative property:
a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value
7. Distributive property:
a(b + c) = ab + ac, or a(b - c) = ab - ac
Step-by-step explanation:
1. Multiplicative identity:
Ex: 3 × 1 = 3
2. Multiplicative inverse:
Ex: The multiplicative inverse of 2 is 1/2 ⇒ 2 × 1/2 = 1
3. Commutative property:
Ex: 2 + 3 + 5 = 10 , 3 + 2 + 5 = 10 , 5 + 3 + 2 = 10
2 × 3 × 5 = 30 , 3 × 2 × 5 = 30 , 5 × 3 × 2 = 30
4. Additive identity:
Ex: 2 + 0 = 2
5. Additive inverse:
Ex: The additive inverse of 5 is -5 ⇒ 5 + -5 = 0
6. Associative property:
Ex: 2 + (3 + 5) = (2 + 3) + 5
2× (3 × 5) = (2 × 3) × 5
7. Distributive property:
Ex: 2(3 + 5) = 2 × 3 + 2 × 5
2(5 - 3) = 2 × 5 - 2 × 3
Answer:1. Multiplicative identity:
The number 1; when multiplied by any number, the value of the number does not change.
2. Multiplicative inverse:
The reciprocal of a number; the product of a number and its multiplicative inverse is 1.
3. Commutative property:
a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value
4. Additive identity:
The number 0; when added to any number, the value of the number does not change.
5. Additive inverse:
The opposite or negative of a number; the sum of a number and its additive inverse is 0
6. Associative property:
a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value
7. Distributive property:
a(b + c) = ab + ac, or a(b - c) = ab - ac
Step-by-step explanation:
1. Multiplicative identity:
Ex: 3 × 1 = 3
2. Multiplicative inverse:
Ex: The multiplicative inverse of 2 is 1/2 ⇒ 2 × 1/2 = 1
3. Commutative property:
Ex: 2 + 3 + 5 = 10 , 3 + 2 + 5 = 10 , 5 + 3 + 2 = 10
2 × 3 × 5 = 30 , 3 × 2 × 5 = 30 , 5 × 3 × 2 = 30
4. Additive identity:
Ex: 2 + 0 = 2
5. Additive inverse:
Ex: The additive inverse of 5 is -5 ⇒ 5 + -5 = 0
6. Associative property:
Ex: 2 + (3 + 5) = (2 + 3) + 5
2× (3 × 5) = (2 × 3) × 5
7. Distributive property:
Ex: 2(3 + 5) = 2 × 3 + 2 × 5
2(5 - 3) = 2 × 5 - 2 × 3
Step-by-step explanation:Answer:
What type of lines will have no solution in a system of equations?
a: Parallel Lines
b: Intersecting Lines
Answer:
Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution.
Parallel lines will have no solution in a system of equations because they never intersect, maintaining a constant distance apart and having the same slope.
In a system of equations, two parallel lines will have no solution. This is because parallel lines never intersect; they have the same slope but different y-intercepts and maintain a constant distance from each other.
According to the theorem if two straight lines do not meet a third line on the same plane, then they do not meet each other, which confirms that they are parallel.
Hence, option (a) 'Parallel Lines' is the correct answer to which type of lines will have no solution in a system of equations. In contrast, option (b) 'Intersecting Lines' represents lines that cross at a single point and have one solution where they intersect, which corresponds to that unique solution of the system.
Help me with this one please
The answer is:
[tex]sin(F)=\frac{OppositeSide}{Hypotenuse}=\frac{55}{73}=0.75[/tex]
[tex]cos(F)=\frac{AdjacentSide}{Hypotenuse}=\frac{48}{73}=0.66\\\\tan(F)=\frac{OppositeSide}{AdjacentSide}=\frac{55}{48}=1.15[/tex]
Why?Since we are working with a right triangle, we can use the Pythagorean Theorem to know the missing side size (Opposite Side).
Pythagorean Theorem formula:
[tex]c^{2}=a^{2} +b^{2}[/tex]
Where:
[tex]c=hypotenuse=73\\a=AdjacentSide=48\\b=OppositeSide[/tex]
So, the opposite side will be:
[tex]OppositeSide=\sqrt{c^{2}-a^{2}}=\sqrt{73^{2}-48^{2}}=\sqrt{5329-2304} \\OppositeSide=\sqrt{3025}=55[/tex]
Then:
[tex]sin(F)=\frac{OppositeSide}{Hypotenuse}=\frac{55}{73}=0.75[/tex]
[tex]cos(F)=\frac{AdjacentSide}{Hypotenuse}=\frac{48}{73}=0.66\\\\tan(F)=\frac{OppositeSide}{AdjacentSide}=\frac{55}{48}=1.15[/tex]
Have a nice day!
Answer:
Sin F = 0.7534
Cos F = 0.6575
Tan F= 1.145
Step-by-step explanation:
From the given figure we can see that,
triangle DEF is right angled triangle
Base = DF = 48
Hypotenuse = EF = 73
Height = ED
To find ED
We have ,
Hypotenuse² = Base² + Height²
EF² = DF² + ED²
ED² = EF² - DF² = 73² - 482
ED² = 3025
ED = √3025 = 55
To find Sin (F)
Sin ∅ =Opposite side /Hypotenuse
Sin F = ED/EF = 55/73 = 0.7534
To find Sin (F)
Cos ∅ =Adjacent side /Hypotenuse
Cos F =DF/EF = 48/73 = 0.6575
To find Sin (F)
Tan ∅ =Opposite side /Adjacent side
Tan F = ED/DF = 55/48 = 1.145
The Klein family is taken a weekend trip to their grandparents who live 134 miles away. Mr. Klein always drives at a
steady rate of 60 miles per hour. After 42 minutes into the trip, the kids want to know how many more miles until they get
there. Find the number of miles left to travel.
Answer:
92 more miles
Step-by-step explanation:
60 mph is 1 mile per min so in 42 min they traveled 42 miles and 134 miles minus 42 miles is 92 miles
A * blank * of linear equations is two linear equations consider together
Answer:
System of Linear Equations
Step-by-step explanation:
Answer:
System of linear equations
Step-by-step explanation:
Which of the statements about the graph of the function y = 2x are true? Check all of the boxes that apply. The domain is all real numbers x because the exponent of 2 can be any real number When the x-values increases by 1 unit, the y-value multiplies by 2. The y-intercept is (0, 1). The graph never goes below the x-axis because powers of 2 are never negative. The range is all real numbers.
Answer:
The correct options are 1, 2, 3 and 4.
Step-by-step explanation:
The given function is
[tex]f(x)=2^x[/tex]
The above function is defined for all the values of x.
⇒ Therefore the domain is all real numbers x because the exponent of 2 can be any real number.
⇒ The x is exponent of 2, therefore the x-values increases by 1 unit, the y-value multiplies by 2.
Put x=0, to find the y-intercept.
[tex]f(x)=2^=1[/tex]
⇒The y-intercept is (0, 1).
The value of f(x) is always greater than 0 because powers of 2 are never negative.
[tex]f(x)>0[/tex]
⇒The graph never goes below the x-axis because powers of 2 are never negative.
⇒Therefore the range of the function is all positive real numbers.
Therefore the correct options are 1, 2, 3 and 4.
The True statements about the graph of the function [tex]y =2^x[/tex] are option a), b), c) and d). Refer the below solution for better understanding.
Given :
[tex]y = 2^x[/tex]
Solution :
Domain is all real numbers x because the exponent of 2 can be any real number.
x is exponent of 2, therefore the x-values increases by 1 unit, the y-value multiplies by 2.
At [tex]x=0[/tex],
[tex]y=2^0=1[/tex]
y intercept -- (0 , 1).
y is always greater than zero because power of 2 never be negative.
Graph never goes below the x-axis because powers of 2 are never be negative.
The range of the function is all positive real numbers.
Therefore all the options are correct.
For more information, refer the link given below
https://brainly.com/question/14418346
Given: circle k (O) , m
PL
=80°,
m
PY
=150°
Find: m∠YPL
Answer:
YL=130 (PWP)
m<YPL=65 (Inscribed < th)
Step-by-step explanation:
Answer:
[tex]m\angle YPL=65^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a circle and we are asked to find the measure of angle YPL.
Since the degree measure of circumference of a circle is 360 degrees, so we can set an equation to find the measure of arc LY as:
[tex]m\widehat{LY}+m\widehat{PL}+m\widehat{PY}=360^{\circ}[/tex]
Upon substituting our given values in above equation we will get,
[tex]m\widehat{LY}+80^{\circ}+150^{\circ}=360^{\circ}[/tex]
[tex]m\widehat{LY}+230^{\circ}-230^{\circ}=360^{\circ}-230^{\circ}[/tex]
[tex]m\widehat{LY}=130^{\circ}[/tex]
We can see that angle YPL is inscribed angle of arc LY, so the measure of angle YPL will be half the measure of arc LY.
[tex]m\angle YPL=\frac{1}{2}m\widehat{LY}[/tex]
[tex]m\angle YPL=\frac{1}{2}\times130^{\circ}[/tex]
[tex]m\angle YPL=65^{\circ}[/tex]
Therefore, the measure of angle YPL is 65 degrees.
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the squares share one side with the rectangle. The total area of the constructed figure is 120 cm2. What is the perimeter of the rectangle?
Answer:
The perimeter of rectangle is [tex]18\ cm[/tex]
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
[tex]x=y+5[/tex] ----> equation A
[tex]120=xy+2x^{2}+2y^{2}[/tex] ---> equation B (area of the constructed figure)
substitute the equation A in equation B
[tex]120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0[/tex]
using a graphing calculator -----> solve the quadratic equation
The solution is
[tex]y=2\ cm[/tex]
Find the value of x
[tex]x=y+5 ----> x=2+5=7\ cm[/tex]
Find the perimeter of rectangle
[tex]P=2(x+y)=2(7+2)=18\ cm[/tex]
Answer:
Perimeter of rectangle = 38 cm
Step-by-step explanation:
It is given that, Length of a rectangle is 5 cm longer than the width.
Let 'x' be the width then length = x + 5
Area of of rectangle = x(x + 5)
One side of square = ( x+ 5)/4
Area of all squares = [(x +5)/4]² * 4 = (x + 5)²/4
To find the value of x
Total area = 120 cm²
Area of of rectangle + Area of all squares = 120
x(x + 5) + (x + 5)²/4 = 120
x² + 5x + (x² + 10x + 25)/4 = 120
4x² + 20x + x² + 10x + 25 = 120 * 4
x² + 6x + 5 = 24 * 4
x² + 6x - 96 =0
x = 7
To find the perimeter of rectangle
width = x = 7
Length = x + 5 = 7 + 5 = 12
Perimeter = 2(length + width) = 2(7 + 12) = 38 cm
Find Chris’s mistake.
A. Step 1
B. Step 2
C. Step 3
D. Chris did not make a mistake
step 2: Chris added the exponents when he should have multiplied them
Answer:
Step 2
Step-by-step explanation:
3) This is a writer's opinion or way of seeing an issue.
Answer:
the word is viewpoint
Step-by-step explanation:
Answer:
Viewpoint.Step-by-step explanation:
Viewpoint refers to a particular and individual way to see the world. It's the personal perspective in a specific context, it's people's point of view. For example, in a situation like an accident between a motorcycle and a bus, some people would say that the fault is no the bus drives, other would say that it's on the motorcycle driver, but at the end, those just are different viewpoint.
In this case, a writer's opinion or way of seeing an issue, it's referring to a point of view, or viewpoint, because involves an individual opinion about something.
Which of the following describes a net of the prism
A. Three triangular bases and three rectangular lateral faces
B. Three triangular bases and three triangular lateral faces
C. Two triangular bases and three rectangular lateral faces
D. Two triangular bases in three triangular lateral faces
The answer is C
Explanation; there are 2 triangles and 3 rectangles
The statement that describes the net of the prism is:
C. Two triangular bases and three rectangular lateral faces
Step-by-step explanation:Net of a solid--
A net is a two dimensional figure which can be folded to get a three dimensional figure.
or we may say it is a pattern which is made when we scatter out different faces of the solid or three dimensional figure.
By looking at the given prism we see that it is formed with the help of two triangles and 3 rectangles which are folded in appropriate manner so as to get the prism.
[tex]y = x + 2 \\ y = 3x - 2[/tex]
Substitute y = x + 2 into y = 3x - 2
x + 2 = 3x - 2
Solve for x in x + 2 = 3x - 2
x = 2
Substitute x = 2 into y = x + 2
y = 4
Therefore,
x = 2
y = 4
5×4=?
is it 20
is it 9
is it 54
Answer:
20
Step-by-step explanation:
But you should know this already...
Find the solutions to the equation below check all that apply 30x^2-26x+4=0
Answer:
A. 1/5
C. 2/3
Step-by-step explanation:
30x^2 - 26x + 4=0
2(15x^2 - 13x + 2) = 0
2(15x^2 - 10x - 3x + 2) = 0
2[(5x(3x - 2) - 1(3x - 2)] = 0
2(5x - 1)(3x - 2) = 0
5x - 1 = 0; x = 1/5
3x - 2 = 0; x = 2/3
Answer:
x = 1/5, x = 2/3.
Step-by-step explanation:
30x^2 - 26x + 4 = 0
15x^2 - 13x +2 = 0
(5x - 1 )(3x - 2) = 0
5x - 1 = 0 or 3x - 2 = 0
x = 1/5, 2/3.
Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum?
Answer:
B. 6,700 m
Step-by-step explanation:
Mr. Gephart is traveling from his house to the history museum = 6.7 km
1 km = 1,000 m
so
6.7 x 1,000 = 6,700 m
Answer is B. 6,700 m
Answer:
Step-by-step explanation:
B. 6,700m
Isabel's car gets 33.5 miles per gallon. Her gas tank holds 15.1 gallons of gas. How many miles can Isabel drive on a full tank of gas?
It will be 505.85.
Because 33.5 × 15.1 is 505.85.
33.5x15.1=505.85
505.85 miles is the answer.
a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is 75 how far is the bottom of the ladder from the base of the building
Answer:
Step-by-step explanation:
Take 20( cosine of 75 degrees)
the answer is 5 ft
Answer:
5.18 feet
Step-by-step explanation:
We have been given that a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is 75 degrees.
We can see from the attachment that side with 20 feet is hypotenuse and side x is adjacent side to the angle 75 degrees.
[tex]\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]
Substitute the given values:
[tex]\text{cos}(75^{\circ})=\frac{x}{20}[/tex]
[tex]\frac{x}{20}=\text{cos}(75^{\circ})[/tex]
[tex]\frac{x}{20}*20=20*\text{cos}(75^{\circ})[/tex]
[tex]x=20*0.258819045103[/tex]
[tex]x=5.1763809[/tex]
[tex]x\approx 5.18[/tex]
Therefore, the bottom of the ladder is 5.18 feet away from the base of the building.
Which angles are adjacent angels?
A. GMB and FBC
B. CBX and FBC
C. XBG and FBC
D. MBY and FBC
Answer:
CBX and FBC
Step-by-step explanation:
because they both are supplememntary
Adjacent angles share a common vertex and side, and do not overlap. Without a diagram, specific adjacent angles cannot be identified. Angle BAB' being equal to the angle of incidence is relevant to the geometry but does not determine adjacency.
Explanation:Adjacent angles are two angles that have a common vertex and a common side, but do not overlap. By definition, they are next to each other on a plane and their shared side is called the ray. In the given question, we should look for two angles that meet this criteria.
The answer is not directly provided since it seems to be referencing a diagram that we do not have. However, in general, to determine adjacent angles in a diagram, you would look for angles that share a vertex and a common side. For example, if angle GMB and angle FBC shared a side and a vertex, they would be considered adjacent angles.
Given the information that the segment AB' is shared by triangles in two different mediums, and that angle BAB' is equal to the angle of incidence, this does not directly relate to the angles being adjacent but gives insight into the geometry of the situation.
Solve 5/8 x - 2/3 y = -3 3/4 x + 1/2 y = -4
Answer:
I am not sure that this is a solvable equation.
I need help plzzzz help me
Randy caught quails at a slower rate
Jeremy boiled one cup of water and then let it cool at room temperature. The table shows the temperature, in degrees Fahrenheit, of the water after a given number of five-minute intervals. Jeremy used an exponential function to model the temperature w(t), in degrees Fahrenheit, of the water after t intervals.
The question involves predicting the temperature of water after six intervals using an exponential decay function. Without the exact values to form the function, we can infer that the temperature will likely be around option (b) 101°F after six intervals based on the pattern of decrease shown in the provided intervals.
The student's question is about using an exponential function to model the temperature decrease of water as it cools at room temperature.
To solve this problem, one would generally apply the formula for an exponential decay function, which is of the form w(t) = [tex]a * e^{(kt)[/tex], where w(t) is the temperature at time t, a is the initial temperature, e is the base of the natural logarithm, and k is the decay constant. Given the temperatures at specific intervals, one could use these to estimate the constants a and k.
However, without the necessary values to develop an equation, we instead look for the pattern in the temperature's decrease to predict the sixth interval's approximate temperature.
Examining the table provided:
Interval 0: 210°FInterval 1: 167°FInterval 2: 145°FInterval 3: 131°FInterval 4: 121°FWe can see that the temperature is decreasing less with each interval. While it is not explicitly stated, it's reasonable to assume that an exponential decay function would fit this scenario. Without the exact function, we can make an educated guess based on the trend that after six intervals, the temperature will be less than 121°F and likely close to option (b) 101°F.
Find the value of x, rounded to the nearest tenth.
Answer options: 4.2, 3.7, 4.4, 8.9
Answer:
= 8.9 units
Step-by-step explanation:
When a chord intersects with a tangent outside a circle then we use the relationship;
X ² = AO × BO, Where A and are the points of intersection of the chord an the circle, while O is the point of intersection between the chord and the tangent.
Therefore;
x² = 4 × 20 or 8 × 10
x² = 80
x = √80
= 8.944
≈ 8.9
Answer: 8.9
Step-by-step explanation:
x² = 4 × 20 or 8 × 10
x² = 80
x = √80
= 8.944
≈ 8.9
If Mike has m pencils and Jen has 3 more pencils than Mike, how many pencils do they have together?
Answer:
Mike = m pencils
Jen = m + 3 pencils
Total = Mike + Jen
= m+m+3
= 2m+3
Step-by-step explanation:
help me with this question pls!?
Your answer is A) 1/2 inch per foot
Multiply the given info by 2 to get the answer.
Please mark brainliest if this helps you! :)
The perimeter of a parallelogram is 80 meters.the width of the parallelogram is 4 meters less than its length
Answer:
The length is 22 and the width is 18.
Step-by-step explanation:
You can solve for the length by using the perimeter formula.
P = 2l + 2w.
You know P = 80. You also know the length is l and the width is w = l - 4.
80 = 2l + 2(l - 4)
80 = 2l + 2l - 8
80 = 4l - 8
88 = 4l
22 = l
This means the width which is 4 meters less is 22 - 4 = 18.
The mean of this set of numbers
{20, 30, 40, 50, 60, 70, 80} is??
Answer:
The answer is 50
Step-by-step explanation:
You add up all the numbers and divide the numbers by how many numbers there are.
The answer would be 50!
What's the 477th number of pi ???
Answer:
Google says 9?
Step-by-step explanation:
Match each pairs of rational
Answer:
Refer to step-by-step.
Step-by-step explanation:
To find the LCD of the different fractions, we first need to follow the steps of finding the LCD of algebraic fractions.
1st step: Factor
You need to factor out the expressions if they do not have a difference of two squares.
2nd step: Find the LCD of the coefficients.
You need to find the LCD of the coefficients before moving onto the variables.
3rd step: The variable part of the LCD will be every single variable you see, with the highest exponent.
So let's begin, since all the given denominators are already factored out, we can proceed straight to step 2.
[tex]\dfrac{5}{9m^{2}n}and\dfrac{5}{16mn^{3}}[/tex]
Now since we're dealing with the denominators, let's focus on them alone.
The LCD of 9 and 16 is 144
The LCD of variables m² and m is m²
The LCD of variables n and n³ is n²
So the LCD of the algebraic fractions [tex]\dfrac{5}{9m^{2}n}and\dfrac{5}{16mn^{3}}[/tex] is:
144m²n³
Now to the next one.
[tex]\dfrac{5+m}{8m^{4} n^{2} }and\dfrac{5+n}{18m^{2} n^{4} }[/tex]
The LCD of 8 and 18 is 72
The LCD of variables [tex]m^{4}[/tex] and m² is [tex]m^{4}[/tex]
The LCD of variable n² and [tex]n^{4}[/tex] is [tex]n^{4}[/tex]
So the LCD of the algebraic fractions [tex]\dfrac{5+m}{8m^{4} n^{2} }and\dfrac{5+n}{18m^{2} n^{4} }[/tex]is:
[tex]72m^{4} n^{4}[/tex]
Next one we have:
[tex]\dfrac{m+n}{12mn}and\dfrac{n+m}{18m^{3}n }[/tex]
The LCD of 12 and 18 is 36
The LCD of m and m³ is m³
The LCD of n and n is n
So the LCD of the algebraic fractions [tex]\dfrac{m+n}{12mn}and\dfrac{n+m}{18m^{3}n }[/tex] is:
36m³n
Last but not the least.
[tex]\dfrac{m-n}{24mn^{4}}and\dfrac{m-n}{16m^{4}n }[/tex]
The LCD of 24 and 16 is 48
The LCD of m and [tex]m^{4}[/tex] is [tex]m^{4}[/tex]
The LCD of [tex]n^{4}[/tex] and n is [tex]n^{4}[/tex]
So the LCD of the algebraic fractions [tex]\dfrac{m-n}{24mn^{4}}and\dfrac{m-n}{16m^{4}n }[/tex] is:
[tex]48m^{4} n^{4}[/tex]
How would the expression x^2-9 be written using difference of swuares
x squared and -9 are both square numbers.
the square root of x^2 is x
the square root of -9 is 3. so you just need to write (x+3)(x-3)
you can check by expanding the brackets and the middle x terms should cancel out
Answer:
(x-3)(x+3)
Step-by-step explanation:
Here we have to represent our algebraic expression as difference of square.
In order to do so we have use the formula given under.
[tex](x^2-a^2)=(x-a)(x+a)[/tex]
Hence first we have to guess the square root of the 9 , which is 3 and represent our numeric term in our expression as square of it.
Hence
[tex](x^2-9)\\= (x^2-3^2)[/tex]
Now we apply the formula
[tex](x^2-3^2)=(x-3)(x+3)[/tex]
Hence the above expression is our answer.
What are the zeros of f(x)=2x^3+3x^2-9x?
Answer:
x = -3, x= 0, and x = 1.5
Step-by-step explanation:
The zeros of a function f(x) refers to the x-values for which f(x) = 0.
We simply graph the function and determine the points where the graph crosses the x-axis. Thus, we shall be solving the problem graphically;
From the attachment below, the graph of f(x) crosses the x-axis at;
x = -3, x= 0, and x = 1.5
Identify the initial amount a and the growth factor b in the exponential function. g(x) = 20 • 2x
Answer:
Initial amount: 20
Growth factor: The amount doubles for every integer increase of x
Step-by-step explanation:
I think the equation should be g(x) = 20(2^x) for it to be exponential.
The general form of an exponential equation is g(x) = a(b^x), where a is the initial amount when x = 0, and b is the base, or growth factor.
We can see the amount double by evaluating a few value..
g(0) = 20(2^0) = 20(1) = 20 (initial amount)
g(1) = 20(2^1) = 20(2) = 40
g(2) = 20(2^2) = 20(4) = 80
g(3) = 20(2^3) = 20(8) = 160
This pattern will continue on