If f(x)= e³x, then d/dx(e³x)=? A. 3e³x B. e³x C.ex D. 9e³x
Answer:
the answer is D. 9e³x.
Step-by-step explanation:
If f(x) = e³x, then we can find its derivative using the chain rule of differentiation as follows:
d/dx(e³x) = 3e³x * d/dx(3x) = 3e³x * 3 = 9e³x
= D. 9e³x.
Answer:
A
Step-by-step explanation:
Kelly is making a bubble mixture for kids to play with at a backyard party. She adds 1/4 of a cup of corn syrup to 6 cups of soap and water.
She wants to make more bubble mixture and has 18 cups of the soap and water mixture to use.
How much corn syrup does she need to add?
A. 2/3 of a cup of corn syrup
B. 3 cups of corn syrup
C. 3/4 of a cup of corn syrup
D. 3 1/4 cups of corn syrup
Answer: C. 3/4 of a cup of corn syrup
Step-by-step explanation:
We will set up a proportion to help us solve.
[tex]\displaystyle \frac{1/4\text{ cup corn syrup}}{6\text{ cups of soap and water}} =\frac{x\text{ cups corn syrup}}{18\text{ cups of soap and water}}[/tex]
Next, we will cross-multiply.
1/4 * 18 = 6 * x
9/2 = 6x
Lastly, we will divide both sides of the equation by 6.
x = 3/4 of a cup of corn syrup
C. 3/4 of a cup of corn syrup
dertermine if T:R^3-R^2 defined as T(x1,x2,x3)=(x1+x3,2x2-x3) is a linear transformation
Yes, [tex]T(x_1,x_2,x_3)=(x_1+x_3,2x_2-x_3)[/tex] is a linear transformation.
What is a linear transformation?A linear map is a mapping V to W between two vector spaces in mathematics, more specifically in linear algebra, that keeps the operations of vector addition and scalar multiplication. The more broader example of modules over a ring also uses the same terminology and definition are Module homomorphism.
What is homomorphism?The maps between algebraic objects are known as homomorphisms. Group homomorphisms and ring homomorphisms are the two basic categories. In Other words ,homomorphisms of modules, algebras, and vector space homomorphisms, which are also known as linear maps.
Two properties must be satisfied if T is a linear transformation:
T(x+ y) = T(x) + T(y) for any x, y in [tex]R^3.[/tex]
homogeneity is T(ax) = a T(x). For all scalars a and x in [tex]R^3.[/tex].
let a consider
L.H.S,T(x+y)= T[tex]((x_1+y_1),(x_2+y_2),(x_3+y_3[/tex]))= [tex](x_1+y_1+x_3+y_3, 2x_2+2y_2-x_3)[/tex]
R.H.S. T(x) + T(y) =[tex](x_1+x_3, 2x_2-x_3) +(y_1+y_3, 2y_2-y_3) =(x_1+y_1+x_3+y_3, 2x_2+2y_2-y_3).[/tex]
L.H.S.=R.H.S.
So,The first property is satisfied i.e. T(x+ y) = T(x) + T(y) for any x, y in [tex]R^3.[/tex]
For homogeneity,
let a consider ,
L.H.S. T(ax) = T[tex](ax_1,ax_2,ax_3) = (ax_1+ax_3, 2ax_2-ax_3).[/tex]
R.H.S. a T(x) = a T[tex](x_1,x_2,x_3) = a(x_1+x_3, 2x_2-x_3) = (ax_1+ax_3, 2ax_2-ax_3).[/tex]
L.H.S.=R.H.S.
So, T(ax) = a T(x). for all scalars a and all vectors x in [tex]R^3.[/tex].are satisfied
A linear transformation from [tex]R^3[/tex]to[tex]R^2[/tex] . is therefore represented by T.
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The Swamis family went on a vacation. They recorded the number of miles they drove each day. The mileage is shown in the table. Day 1 2 3 4 5 Distance (mi) 248 176 379 263 202
a) The mean of the mileage is 90.4 miles per day
b) The median of the mileage is 255.5 miles
Given data ,
Let the data be represented as A
Now , the value of A is
A = { 248 176 379 263 202 }
And , Mean = (248 + 176 + 379 + 263 + 202) / 5 = 452 / 5 = 90.4 miles per day (rounded to one decimal place)
Therefore, the mean of the data is 90.4 miles per day.
To find the median of the data, we need to first put the distances in order from least to greatest:
176, 202, 248, 263, 379
There are 5 data points, so the median is the middle value.
Median = (248 + 263) / 2 = 511 / 2 = 255.5 miles
Hence , the median of the data is 255.5 miles
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The complete question is attached below :
The Swamis family went on a vacation. They recorded the number of miles they drove each day. The mileage is shown in the table. Day 1 2 3 4 5 Distance (mi) 248 176 379 263 202 What is the mean of the data? ____miles What is the median of the data? ______miles
A theater is hosting a film festival for Hispanic Heritage Month. The Moore family buys
5 tickets and spends $28.75 at the concession stand. Each ticket costs the same amount.
They spend a total of $76.75. Which equation shows the cost of each ticket, t?
Answer:t = 9.6.
Step-by-step explanation:
Brainliest and extra points for right answer.
Use the graph to answer the question.
Graph of polygon ABCDE with vertices at negative 1 comma negative 4, negative 1 comma negative 1, 3 comma negative 1, 3 comma negative 4, 1 comma negative 6. A second polygon A prime B prime C prime D prime E prime with vertices at 13 comma negative 4, 13 comma negative 1, 9 comma negative 1, 9 comma negative 4, 11 comma negative 6.
Determine the line of reflection.
Reflection across the x-axis
Reflection across x = 6
Reflection across y = −3
Reflection across the y-axis
Answer:
The question is asking about the line of reflection that would transform polygon ABCDE to its image A' B' C' D' E'.
To determine the line of reflection, we need to identify the axis or line that reflects each point of polygon ABCDE to its corresponding point on polygon A' B' C' D' E'.
Looking at the coordinates of the vertices, we can see that the x-coordinates of the corresponding points are the same, but the y-coordinates are opposite in sign. This suggests that the line of reflection is parallel to the x-axis.
Furthermore, we can see that the reflected image is below the original polygon, so the line of reflection must be the x-axis itself, reflecting the polygon downward.
Therefore, the correct answer is "Reflection across the x-axis."
20a +5,600 < 21,000 solve the following inequality and answer in interval notation
Answer: 20a +5,600 < 21,000
move the content to the right
20a < 21,000 -5600
calculate
20a<15400
20a <15400
divide both sides of the inequality by 20
a<770
Find the circumference of the circle. Round to the nearest tenth.
A. 251.3 in.
B. 125.7 in.
C. 164.8 in.
D. 225.4 in.
Answer: A. 251.3 in.
Step-by-step explanation:
We can use this formula to solve for the circumference of a circle. r is equal to the radius, or half of the circle's width.
C = 2πr
C = 2πr
C = 2π(40)
C ≈ 251.3
A. 251.3 in.
The piecewise function g(x) is shown in the graph.
Graph with three pieces. The first piece is a horizontal line from the left with an open right endpoint at negative 2 comma negative 1. The second piece is curved with a solid point at negative 1 comma 0, which ends at 1 comma 1. The last piece starts with a solid circle at 0 comma 1 and increases to the right as it passes through 4 comma 5.
Which of the following represents g(x)?
g of x is a piecewise function, which equals negative 2, when x is less than negative 1, and it equals the quantity x plus 1 end quantity squared, when negative 1 is less than or equal to x is less than 0, and it equals x plus 1, when x is greater than or equal to 0.
g of x is a piecewise function, which equals negative 2, when x is less than or equal to negative 1, and it equals the quantity x minus 1 end quantity squared, when negative 1 is less than x is less than 0, and it equals negative x plus 1, when x is greater than 0.
g of x is a piecewise function, which equals negative 2, when x is less than negative 1, and it equals the quantity x minus 1 end quantity squared, when negative 1 is less than or equal to x is less than or equal to 0, and it equals negative x plus 1, when x is greater than 0.
g of x is a piecewise function, which equals negative 2, when x is less than or equal to negative 1, and it equals the quantity x plus 1 end quantity squared, when negative 1 is less than x is less than 0, and it equals x plus 1, when x is greater than or equal to 0.
The description that correctly represents g(x) is g of x is a piecewise function, which equals negative 2, when x is less than or equal to negative 1, and it equals the quantity x minus 1 end quantity squared, when negative 1 is less than x is less than or equal to 0, and it equals negative x plus 1, when x is greater than 0 (third option).
What represents g (x)?Looking at the graph, we can see that:
g(x) is equal to -2 for x ≤ -1.g(x) is a quadratic function that passes through the point (-1,0) and (1,1), with a vertex at (0,1), for -1 < x ≤ 0.g(x) is a linear function that passes through the point (0,1) and (4,5), for x > 0.Thus, the correct piecewise function that represents g(x) is:
g(x) = {-2 if x ≤ -1
{ (x-1)^2 if -1 < x ≤ 0
{ -x+1 if x > 0
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A parallelogram has one angle that measures 12°. What are the measures of the other three angles in the parallelogram?
Answer:
I think like 60∘, 60∘, 60 ∘ , 60 ∘ , and 120∘?
Help me on number 4. 14 points
Answer:[tex]18\frac{3}{8}[/tex] yards
Step-by-step explanation:
Formula:
Base x Height ---> [tex]3\frac{1}{2}[/tex] x [tex]5\frac{1}{4}[/tex] = [tex]18\frac{3}{8}[/tex]
Is the figure line symmetric?
If yes, how many lines of symmetry does the figure have?
a picture of a snow flake
Answer:
Yes, the figure is line symmetric.
A snowflake has six lines of symmetry. Therefore, the correct answer is: 6.
Three expressions that are equivalent to 3/5a+10?
50 Points Please help quickly
Answer:
Step-by-step explanation:
The first one is C!
And the second one is E!
If this helps, go to math-way, and type in each of the equations and it will graph it for you!
please help me solve the bonus question
Answer: a = 5 and k = 1/2
Step-by-step explanation:
We are given that the function is defined by:
f(x) = 16 + a(3^(kx))
We need to find the real numbers a and k such that f(0) = 21 and f(4) = 61. Using the given values of f(0) and f(4), we can form a system of two equations:
f(0) = 16 + a(3^(k(0))) = 21
f(4) = 16 + a(3^(k(4))) = 61
Simplifying the first equation, we get:
16 + a(3^0) = 21
16 + a = 21
a = 5
Substituting this value of a into the second equation, we get:
16 + 5(3^(4k)) = 61
5(3^(4k)) = 45
3^(4k) = 9
We know that 3^2 = 9, therefore
4k = 2
=> k = 2/4
=> k = 1/2
Therefore, the real numbers a and k that satisfy the given conditions are a = 5 and k = 1/2. So the function is:
f(x) = 16 + 5(3^(x/2))
The solution to the equation give us an approximate that x = 1.55.
What is the solution to the equation?To solve this equation, we can start by subtracting 4 from both sides to isolate the exponential term:
3.5^x + 4 - 4 = 11 - 4
This simplifies to:
3.5^x = 7
Next, we can take the logarithm of both sides with base 3.5 to eliminate the exponent:
log(3.5^x) = log(7)
Using the property of logarithms that log(a^b) = b*log(a), we can rewrite the left side as:
x*log(3.5) = log(7)
Now, we can solve for x by dividing both sides by log(3.5):
x = log(7) / log(3.5)
Plugging in the values, we get:
x = 0.84509804001 / 0.54406804435
x = 1.55329475566
x ≈ 1.55.
Answered question "Solve the equation 3.5^x + 4 = 11"
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Twice the difference of a number and three is the sum of that number and four
Answer:
Step-by-step explanation:
Answer:
-20
Step-by-step explanation:
We can set up an equations with the conditions we are given. Let's use x for the missing number.
2(x-4)=3(x+4)
2x-8=3x+12
-20=xWe can set up an equations with the conditions we are given. Let's use x for the missing number.
2(x-4)=3(x+4)
2x-8=3x+12
-20=x
3. Anika is on the crew to set up rides for the state fair. The crew does most of the setup on the day that the fair
arrives at the fairground and then continues to work on finishing the setup for about a week to have the rides
ready to go in time for the opening of the fair. The scatter plot shows Anika's setup time on different days and
the linear model for the data.
Anika's Setup Times
The equation of the line representing the linear model of the data in slope-intercept form is; y = -1.25·x + 17.5
What is the slope-intercept form of the equation of a line?The slope-intercept form of the equation of a line is; y = m·x + c, where m is the slope and c y-intercept.
The possible question includes;
What is the equation for the line in slope intercept form;
The points on the line are; (2, 15), and (6, 10)
The slope is; (10 - 15)/(6 - 2) = -5/4
The equation of the line is therefore;
y - 15 = (-5/4)·(x - 2)
-5/4 = -1.25
y = -1.25·x + 5/2 + 15 = -1.25·x + 17.5
y = -1.25·x + 17.5
The equation of the line in slope-intercept form is; y = -1.25·x + 17.5Learn more on the slope-intercept form of the equation of a line: https://brainly.com/question/28584447
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What is the image of ( − 8 , 2 ) after a reflection over the line y=x?
Answer: The reflection of (-8,2) after a reflection over the line y=x is (2,-8)
Step-by-step explanation: The reflection on a graph refers to the preimage that has been reversed.
So, if we take an example of (x,y), over a reflection on the y-axis, then the answer would be (y,x)
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Flying against the wind, an airplane travels 6390 kilometers in 9 hours. Flying with the wind, the same plane travels 2970 kilometers in 3 hours. What is the rate of the plane in still air and what is the rate of the wind?
The rate of the plane in still air is 810 km/h and the rate of the wind is 90 km/h.
Explain the term rate
Rate is a measure of the speed or frequency of change of a quantity over time or space. It is expressed as a ratio between two quantities, such as distance travelled per unit of time or number of occurrences per unit of time. Rates are commonly used in mathematics, science, and economics to analyze and compare different phenomena.
According to the given information
Let's let x be the rate of the plane in still air and y be the rate of the wind. When flying against the wind, the plane's effective speed is (x - y) km/h, and when flying with the wind, its effective speed is (x + y) km/h.
From the information given in the problem, we can set up two equations to represent the plane's distance travelled when flying against and with the wind:
6390 = 9(x - y)
2970 = 3(x + y)
Solving for x and y in these equations, we find that x = 810 and y = 90. So the rate of the plane in still air is 810 km/h and the rate of the wind is 90 km/h.
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A mirror is placed 45 feet from the base of a waterfall by a hiker. The hiker walks backwards until they are 7.5 feet from the mirror. Determine how tall the waterfall is if the hiker is 6 feet tall.
36 ft
39.5 ft
56.25 ft
72 ft
If the hiker is 6 feet tall, then the height of the waterfall will be: 32.57 feet.
How to determine the height of the waterfallWe can solve this problem using similar triangles. Let us call the height of the waterfall "h". Then, the distance from the base of the waterfall to the mirror is also "h" (since the mirror reflects the top of the waterfall down to the hiker's eye).
Using similar triangles, we can set up the following proportion:
(h + 6 feet) / 45 feet = 6 feet / 7.5 feet
Cross-multiplying and simplifying, we get:
h + 6 feet = 270 feet / 7
h + 6 feet = 38.57 feet
h = 32.57 feet
So, the correct height given the variables is 32.57 feet.
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Answer:
36 ft
Step-by-step explanation:
We can use the concept of similar triangles to solve this problem. The ratio of the heights of the hiker and the waterfall is the same as the ratio of their distances to the mirror.
Given:
Distance from mirror to waterfall = 45 feet
Distance from mirror to hiker = 7.5 feet
Hiker's height = 6 feet
Let's set up a proportion:
(Hiker's height) / (Hiker's distance to mirror) = (Waterfall's height) / (Waterfall's distance to mirror)
Substitute the given values:
6 / 7.5 = (Waterfall's height) / 45
Now solve for the height of the waterfall:
Cross-multiply:
6 * 45 = 7.5 * (Waterfall's height)
270 = 7.5 * (Waterfall's height)
Divide by 7.5:
Waterfall's height = 270 / 7.5
Waterfall's height = 36 feet
So, the height of the waterfall is 36 feet.
Among the provided options, the correct answer is:
a) 36 ft
find the value of 5 1/10 minus 1 9/10
The value after solving mixed fraction is 32/10=3.2
What is fraction?A fraction is a metric unit for describing a piece or component of a whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator. The number at the top is the numerator, and the number at the bottom is the denominator. The numerator indicates the number of equal parts that were actually taken, whereas the denominator shows the total number of equal parts in the whole.
What is mixed fraction?The quotient and remainder of a fraction are used to represent it, making it a mixed fraction. For instance, 2 1/3, where 2 is the quotient and 1 is the remainder, is a mixed fraction. A mixed fraction is a combination of a whole number and a recognised fraction.
according to question,
=51/10 - 19/10
=32/10
=3.2
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The value of 5 1/10 minus 1 9/10 is 16/5 or 3 1/5.
What is mixed fraction?It is a mixed fraction when the remainder and quotient of a fraction are utilised to represent it. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. A whole number and a recognised fraction are combined to form a mixed fraction.
To subtract mixed numbers like 5 1/10 and 1 9/10, you need to convert them to improper fractions first.
5 1/10 can be converted to an improper fraction as follows:
5 1/10 = (5 x 10 + 1)/10 = 51/10
1 9/10 can be converted to an improper fraction as follows:
1 9/10 = (1 x 10 + 9)/10 = 19/10
Now we can subtract the two fractions:
51/10 - 19/10 = (51 - 19)/10 = 32/10
32/10 can be simplified to 16/5 by dividing both the numerator and denominator by the greatest common factor, which is 2.
So, the value of 5 1/10 minus 1 9/10 is 16/5 or 3 1/5.
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AB and BC are perpendicular lines
Fine the value of x
Answer:
25 + x + x = 90
2x = 65
x = 32.5°
Lighthouse B is 9 miles west of lighthouse A. A boat leaves A and sails 4 miles. At this time, it is sighted from B. If the bearing of the boat from B is N65degreesE, how far from B is the boat? Round to the nearest tenth
(Note: Needs 2 Answers)
PLEASE HELP I'M GOING INSANE
*please include work/formulas for every step when needed*
Boat is 4.195 miles or 6.749755 km far from the lighthouse B.
How to find the distance?The boat has moved 4 kilometers from point A to point x. The distance between B and x is what we're looking for.
Trigonometry can be used to overcome this issue. Let's abbreviate the distance "d" from A to x. Then, we can apply the following formula:
tan(65°) = (9 / d)
We can rearrange this formula to solve for d:
d = 9 / tan(65°)
We find that:
tan(65°) = 2.1445
So, d = 9 / 2.1445
= 4.195 miles (rounded to the nearest tenth)
or 6.749755 km.
Hence, Boat is 4.195 miles or 6.749755 km far from the lighthouse B.
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Charles drew a plan for a rectangular piece of material that he will use for a blanket. Three of the vertices are (−2.2,−2.3), (−2.2,1.5), and (1.5,1.5). What are the coordinates of the fourth vertex?
The coordinates of the fourth vertex are (-2.2, 1.5).
Understanding how to estimate coordinatesTo find the coordinates of the fourth vertex, we can use the fact that opposite sides of a rectangle have equal length and are parallel to each other.
First, we can find the length of one of the sides of the rectangle. Let's take the side connecting the points (-2.2, -2.3) and (-2.2, 1.5):
length = |1.5 - (-2.3)| = 3.8
Since this is a rectangle, the length of the side opposite to this one must also be 3.8. We can find this side by taking the points (-2.2, 1.5) and (1.5, 1.5):
width = |1.5 - (-2.2)| = 3.7
Now we know the length and width of the rectangle, so we can find the coordinates of the fourth vertex. Let's call this point (x, y).
Since the fourth vertex is opposite to the point (-2.2, -2.3), the x-coordinate of the fourth vertex must be the same as the x-coordinate of (-2.2, -2.3):
x = -2.2
Similarly, since the fourth vertex is opposite to the point (1.5, 1.5), the y-coordinate of the fourth vertex must be the same as the y-coordinate of (1.5, 1.5):
y = 1.5
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Consider the following.
f(x) = x^5 − x^3 + 4, −1 ≤ x ≤ 1
(a) Use a graph to find the absolute maximum and minimum values of the function to two decimal places.
The function has a local maximum at x = 1 and a local minimum at x = 1/5, as shown in the graph, and the absolute maximum and minimum occur at x = 0 and x = (3/5), respectively.
what is function?Numbers and their variants, equations and related structures, forms and their arrangements, and the places where they might be found are all topics covered in mathematics. The term "function" describes the relationship between a collection of inputs, each of which has a corresponding output.
A function is an association between inputs and outputs that yields one unique outcome for each input. Every function has a domain and a codomain, often known as a scope. Functions are commonly represented with the letter f. (x). As input, an x is used. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four fundamental types of functions available.
To obtain the absolute maximum and lowest values of the function over the interval −1 ≤ x ≤ 1, we must examine the critical points and the interval endpoints.
We first take the derivative of f(x) and set it to zero to determine the critical points:
The function is then assessed at these pivotal points and the interval's endpoints:
As we can see from the information above, f(x) has a maximum value of 4 and occurs at the values x = 0 and x = 1. The absolute minimum value of f(x) is approximately 2.65 for x = (3/5).
We can corroborate these findings by charting the graph of f(x) across the 1 x 1 interval: graph of f(x) = x5 x3 + 4
According to the graph, the function has a local maximum at x = 1 and a local minimum at x = 1/5, but the absolute maximum and lowest are, respectively, x = 0 and x = (3/5).
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which expresions are equivalent to 1/2³
1/8
(1/2)^3 1^3 2^3 1/8 or:(1/2)^3 (1/2) (1/2)(1/2)1×1×1/2×2×1/8
An instructor at a major research university occasionally teaches summer session and notices that that there are often students repeating the class. Out of curiosity, she designs a random sample of students enrolled in summer sessions and counts the number repeating a class. She counts 105 students in the sample, of which 19 are repeating the class. She decides a confidence interval provides a good estimate of the proportion of students repeating a class. She wants a 95% confidence interval with a margin of error at most =0.025
. She has no idea what the true proportion could be.
How large a sample should she take?
The instructor would need to take a sample size of at least 385 students in order to construct a 95% confidence interval with a margin of error of 0.025 or less.
What is confidence interval?A confidence interval is a range of values that, with a certain degree of certainty, is likely to contain the real value of a population parameter. It is typically used in inferential statistics, where we use a sample to make inferences about a larger population.
According to question:To determine the sample size required to construct a 95% confidence interval with a margin of error of 0.025 or less, we need to use the formula:
n = (Z² * p * (1 - p)) / E²
where:
n = sample size
Z = Z-score corresponding to the desired level of confidence (in this case, 95%, which corresponds to a Z-score of 1.96)
p = estimated proportion of students repeating the class (since we have no prior information, we will use 0.5 as a conservative estimate)
E = maximum allowable margin of error (in this case, 0.025)
Plugging in the values, we get:
n = (1.96² * 0.5 * (1 - 0.5)) / 0.025²
n = 384.16
Rounding up to the nearest whole number, the instructor would need to take a sample size of at least 385 students in order to construct a 95% confidence interval with a margin of error of 0.025 or less.
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can someone please help me
Someone please answer this question
Some forms of cardiovascular disease involve the buildup of plaque on the inside walls of blood vessels. The buildup can put added stress on the heart and vessels, reducing or preventing blood flow to vital organs of the body.
Imagine that the diagram is a circular cross section of a blood vessel. What is the area of the inside of the blood vessel (i.e., the yellow part) in square units? Round your answer to the nearest tenth. The equation for the area of a circle is A = πr2, where A is area, π ≈ 3.14, and r is the radius. Recall that the radius is half of the diameter.
Answer:
153.94 cm2
Step-by-step explanation:
Circle area = π * r² = π * 49 [cm²] ≈ 153.94 [cm²]
π ≈ 3.14159265 ≈ 3.14
d = r * 2 = 7 [cm] * 2 = 14 [cm]
MARK AS BRAINLIEST PLS I TOOK 3 HOURS THINKING ABOUT THIS
This equation shows how the total number of postcards Cooper buys is related to the number of days he spends on vacation. p = 9d The variable d represents the number of days he spends on vacation, and the variable p represents the total number of postcards he buys. After 2 days of vacation, how many total postcards will Cooper have bought?
The variable d represents the number of days he spends on vacation, and the variable p represents the total number of postcards he buys Cooper will have bought a total of 18 postcards after 2 days of vacation.
If p = 9d represents the total number of postcards Cooper buys in relation to the number of days he spends on vacation, we can substitute d = 2 into the equation to find the total number of postcards he buys after 2 days of vacation:
p = 9d
p = 9(2) [Substitute d = 2]
p = 18
Therefore, Cooper will have bought a total of 18 postcards after 2 days of vacation.
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