Answer:5x - 8
Step-by-step explanation:
8x−9−(3x−1)8−9−(3−1)
8x−9−3x+18−9−3+1
8x−8−3x8−8−3
Answer:
Step-by-step explanation:
(8x−9)−(3x−1)
To find the opposite of 3x−1, find the opposite of each term.
8x−9−3x−(−1)
The opposite of −1 is 1.
8x−9−3x+1
Combine 8x and −3x to get 5x.
5x−9+1
Add −9 and 1 to get −8.
5x−8
Popcorn sales at a Saturday afternoon matinee were 108% of the sales at the 8:00 showing of the movie. Calvin expressed 108% as 10.8. is Calvin correct? Explain.
Calvin representation of 108% as 10.8 is incorrect
How to determine if the statement is correctFrom the question, we have the following parameters that can be used in our computation:
Percentage increase = 108%
Express the percentage as a fraction
So, we have the following representation
Percentage increase = 108/100
Evaluate the quotient
This gives
Percentage increase = 1.08
Hence, the expression is 1.08 and Calvin is wrong
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Find the equation of the line with y-intercept - 6 and slope - 6 over 7
It can be written as
y = -6/7x - 6/7 * x1 + y1
What is the slop?
The slope, also known as the gradient, is a measure of the steepness of a line. It tells us how much the y-coordinate of a point on the line changes as the x-coordinate changes. The slope is often represented by the letter "m" in the equation of a line. The slope is defined as the ratio of the rise (the change in y-coordinate) to the run (the change in x-coordinate) between two points on a line.
An equation of a line in slope-intercept form is:
y = mx + b
where:
m = slope of the line
x = variable of the line
y = variable of the line
b = y-intercept
Given the y-intercept is -6 and the slope is -6/7, we can substitute these values into the equation above:
y = -6/7x + -6
This equation of the line is in slope-intercept form, and it can be used to find the y-coordinate of any point on the line given the x-coordinate, or to find the x-coordinate of any point on the line given the y-coordinate.
You can also write it in point-slope form.
The point slope form is
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line.
So it can be written as
y = -6/7x - 6/7 * x1 + y1
Where the x1 and y1 are arbitrary value which lies on the line.
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Find the measure of the indicated angle.
Answer:
Step-by-step explanation:
Given: ∠A =75°, ∠B=60° and ∠C=x
To find: ∠C
Proof: In △ABC
∠A =75° (given)
∠B=60° (given)
∠A+∠B +∠C=180° (angle sum property of a triangle: states that the sum of interior angles of a triangle is 180°)
75°+60°+∠C=180°
∠C=180-75+60
∠C=180-135°
∠C=45°
Therefore is 45 degrees.
Rita lent rs6800 for 5 years at 5% p. A. Interest , whereas mita lent rs 8600 for 4 year at 4%. Who earned more interest and by how much
Based on the investment amount, rate of interest and time, Rita earned more interest than Mita by $324.
Calculating simple interest in both the cases to find the earned interest. The formula for simple interest is as follows -
S.I. = PRT/100, where S.I. is simple interest, P is principal, R is rate of interest and T is time.
Interest earned by Rita -
S.I. = 6800 × 5 × 5/100
Performing multiplication and cancelling zero
S.I. = $1700
Interest earned by Mita -
S.I. = 8600 × 4 × 4/100
Performing multiplication and cancelling zero
S.I. = $1376
Difference in interest = Interest earned by Rita - Interest earned by Mita
Difference in interest = 1700 - 1376
Performing subtraction
Difference in interest = $324
The interest earned by Rita is more than the interest earned by Mita by $324.
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Jayden bought 70 feet speaker wire for $18. 20 he needed 30 more feet if the unit price is the same how much will jayden Pay for an extra 30 feet of wire
For the extra 30 feet of wire Jayden have to pay an amount of $7.80 at a rate of $0.26 per feet.
In these type of problems, first we have to find out the unit price. First let's look at what data is available.
The length of wire Jayden bought = 70 feet
Amount Jayden paid for 70 feet = $ 18.20
Unit price or price of 1 feet of speaker wire = Amount paid / length bought.
Unit price = 18.20/ 70 = 0.26.
So he have to pay 26 cents for each foot of wire.
Now let's calculate the amount for 30 feet of wire = Unit price × 30 = 0.26×30 = 7.80.
So Jayden have to pay $7.80 for the extra 30 feet of wire.
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PLEASE HELP 100 POINTS!!
A line has a slope of 0 and a y-intercept of –5/3. Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
the answer is 0= -5/3x + c
Answer: non
as a wordf 2 b geven
What will be the length of the south, west and north side of the scale drawing?
Answer:
See below
Step-by-step explanation:
North, 50
West, 28
South, 71
Answer: i got North, 50
West, 28
South, 71
but have a good day
Step-by-step explanation:
5. Which of the following is parallel to the line y = 2/3x +5?
A.y=2/3x-4
B.y=2/3x-7
C.y=-2/3x+5
D.y=-2/3x+5
Answer:
To determine which of the given lines is parallel to the line y = 2/3x + 5, we need to compare their slopes. The slope of a line is the coefficient of the x variable, in this case 2/3.
The lines that are parallel have the same slope.
A.y=2/3x-4 is parallel to the line y = 2/3x +5 because the slope of 2/3 is the same.
B.y=2/3x-7 is parallel to the line y = 2/3x +5 because the slope of 2/3 is the same.
C.y=-2/3x+5 is not parallel to the line y = 2/3x +5 because the slope of -2/3 is different from the slope 2/3.
D.y=-2/3x+5 is not parallel to the line y = 2/3x +5 because the slope of -2/3 is different from the slope 2/3.
So the answer is A and B are parallel to the line y = 2/3x +5
the length of a rectangular field is twice its breadth. Meghna jogged around it 5 times and covered a distance of 3 km. what is the length of the field
Answer:
Let x be the breadth of the rectangular field.
The length of the field is 2x.
We know that the perimeter of the rectangular field is (2x + 2x) = 4x.
Meghna jogged 5 times around the field, so she covered a distance of 4x km.
We know that 4x = 3km.
So, x = 0.75km, and the length of the field is 2x = 2(0.75km) = 1.5km.
Answer:
Let x be the breadth of the rectangular field.
The length of the field is 2x.
We know that the perimeter of the rectangular field is (2x + 2x) = 4x.
Meghna jogged 5 times around the field, so she covered a distance of 4x km.
We know that 4x = 3km.
So, x = 0.75km, and the length of the field is 2x = 2(0.75km) = 1.5km.
How to find the value of x?
The answer is 56 degrees
The value of x from the triangle is x = 56°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the first triangle be represented as ABC
Let the second triangle be represented as ABD
Now , the measure of side ABD = x°
In the triangle ABC ,
∠ACB = 180° - 104° ( angles on a straight line = 180° )
So , the measure of ∠ACB = 76°
And , the measure of side ∠ACB = measure of side ∠ABC ( given )
So , the measure of side ∠ABC = 76°
And , for a triangle ∠A + ∠B + ∠C = 180°
Substituting the values in the equation , we get
The measure of ∠BAC = 180° - ( 76° + 76° )
The measure of ∠BAC = 28°
Now , the measure of ∠BAC + measure of ∠BAD = 90° ( given perpendicular line )
So , the measure of side ∠BAD = 90° - 28°
The measure of side ∠BAD = 62°
And , measure of side ∠BAD = measure of side ∠ABD ( given that they are similar )
So , the measure of side ∠ABD = 62°
And , for a triangle ∠A + ∠B + ∠D = 180°
Substituting the values in the equation , we get
The measure of side ABD = x° = 180° - ( 62° + 62° )
The measure of side ABD = x° = 180° - 124°
The measure of side ABD = x° = 56°
Hence , the measure of x is 56°
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4x(5x+3)
Find the product
Answer:
[tex]20x^{2} + 12x[/tex]
Step-by-step explanation:
We can expand this equation:
(4x * 5x) + (4x * 3)
= [tex]20x^{2} + 12x[/tex]
If simplified/factored further, we can take out the common variable, x, as well as 4, which is a common number shared between 20 and 12:
4x(5x + 3)
10. A warehouse has 2,100 tables packaged in boxes. They ship 25 tables daily. After how many days will there be fewer than 1,500 tables in the warehouse? Solve and graph the inequality.
The number of days that it will take for there to be fewer than 1,500 tables in the warehouse is given as follows:
More 24 days.
How to solve the inequality?The initial number of tables is given as follows:
2,100 tables.
They ship 25 tables daily, hence the function for the number of tables after n days is given as follows:
T(n) = 2100 - 25n.
There will be fewer than 1,500 tables after n days, for which;
T(n) < 1500
Hence:
2100 - 25n.< 1500
25n > 600
n > 600/25
n > 24.
Hence the time is more than 24 days.
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If you work 32 hours cleaning, how many hours do you need to work babysitting to get $420 for the week?
Three of these pairs of quantities are related by direct variation. Which pair is NOT?
A. x=hours traveled at 60 miles per hour, and y= total distance traveled
B. x=length of a rectangular table, in inches, and y=length of the table, in centimeters
C. x=number of $1-off coupons used, and y=amount saved
D. x=time it takes to travel 60 miles, and y=speed traveled
If the ratio of two quantities is constant, then the two quantities are either in direct proportion to one another or vary in direct proportion to one another.
Which pairwise relationship between the quantities best represents direct variation?If the ratio of two quantities is constant, then the two quantities are either in direct proportion to one another or vary in direct proportion to one another.
The direct variation equation is represented by the symbols y=kx or k=y/x, where k is the proportionality constant or variation constant.
A) The relationship between the distance traveled and the number of traveled hours is straightforward.
B ) The only distinction between x and y representing the length of a table is in units.As a result, it also differs directly.
The amount of money saved in C increases as more $1-off coupons are used, and vice versa.
If the speed is increased in D, it will take less time to travel 60 miles.As a result, there is no direct variation.
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suppose you want to gamble in vegas. in a game, you win $x if the number is prime and lose $x/2 if composite. the number is uniformly randomly generated by a machine between 1 and 10 inclusive. will you play this game?
It is favorable to play this game.
This question requires a mathematical calculation of expected value to determine if the game is favorable or not.
The expected value is calculated as the sum of the product of each outcome and its corresponding probability.
The probability of winning $x for each prime number (2, 3, 5, 7) is 1/4, and the probability of losing $x/2 for each composite number (4, 6, 8, 9, 10) is 1/5.
Expected value = (1/4)*2x + (1/4)*3x + (1/4)*5x + (1/4)*7x - (1/5)*x/2 - (1/5)*x - (1/5)*x/2 - (1/5)*x - (1/5)*x/2
= (1/4)(2 + 3 + 5 + 7)x - (1/5)(x/2 + x + x/2 + x + x/2)
= (17/4)x - (5/2)x
= (17/4 - 5/2)x
= (3/4)x
Since the expected value is positive, it is favorable to play this game.
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what happens when the king of beasts runs in front of a train?
Answer: He dies.
Step-by-step explanation: A train is extremely powerful. It would kill on impact most of the time.
As part of a project about response bias, Ellery surveyed a random sample of 25 students from her school. One of the questions in the survey required students to state their GPA aloud. Based on the responses, Ellery said she was 90% confident that the interval from 3. 14 to 3. 52 captures the mean GPA for all students at her school.
Required:
a. Interpret the confidence level.
b. Explain what would happen to the length of the interval if the confidence level were increased to 99%.
c. How would a 90% confidence interval based on a sample of size 200 compare to the original 90% interval?
d. Describe one potential source of bias in Ellery's study that is not accounted for by the margin of error
It should be emphasized that this suggests that we are 90% certain that the mean GPA for all students at the institution is between 3.14 and 3.52
Sampling
If the confidence level were raised to 99%, something would happen to the interval's length, increasing it.
The difference between a 90% confidence interval based on a 200-person sample and the original 90% interval is that the latter is narrower.
Last but not least, having the students say their grades aloud could have introduced bias into Ellery's study, which is not taken into account by the margin of error. Some of them with lesser grades will start to lie as a result.
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What is 1/2-(1/8+1/8)
Answer:
Hi, my name is Za'Riah! I will gladly help you with this problem. (see explanation)
Step-by-step explanation:
There really isn't much to explain or step out but here is the answer.
[tex]\frac{1}{2} - (\frac{1}{8}+ \frac{1}{8}) \\= \frac{1}{2} - \frac{1}{4} \\\\= \frac{1}{4}[/tex]
Dax is buying coffee for 5 people in his office. He also leaves a $2:00 tip for the batista.
If his total,with tip,is $18.25 how much is each cup of coffee, not including the tip?
Enter your answers as a decimal like this:42.53
The cost of each cup of coffee, not including the tip, is $3.25.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given:
Dax is buying coffee for 5 people in his office.
He also leaves a $2.00 tip for the Batista.
If his total, with tip, is $18.25,
then the total bill of the coffee,
= $18.25 - $2.00 (not including the tip)
= $16.25
The cost of one coffee is,
= $16.25 / 5
= $3.25.
Therefore, $3.25 is the cost of one coffee.
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how do i get my w2 from walgreens if i no longer work there
Send your request via email on the company mail, include your name, employee ID number, and the W2 you are asking for the particular year.
For more than a century, Walgreens has operated on the same set of values: Honesty, Trust, and Integrity with Our Customers, Our Shareholders, Our Suppliers, The Communities We Serve, and Among Ourselves.
Quality via dependable and consistent advice, goods, and services at all points of contact and through all channels.
kind, sensitive, and motivated to provide excellent service and a positive patient and customer experience in order to achieve healthy outcomes.
via service, knowledge, and the personal engagement of each member of the Walgreen team, a strong commitment to and presence in the community.
All products under the Walgreens brand come with a 100% satisfaction guarantee! Return the unused amount if you're not entirely happy, and we'll refund the entire purchase price.
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If ABCD is a parallelogram, what is the length of BD?
B
с
5
7.
E
6
А
D
The length of diagonal BD from the parallelogram ABCD is 10.
E is the intersection of the diagonals BD and AC. The point of bisection is therefore designated E.
BE = DE (The diagonals of a parallelogram bisect each other) (The diagonals of a parallelogram bisect each other)
From the provided diagram:
BE = 5
DE = BE = 5
BD length equals BE plus DE
BD length equals (5 + 5) to 10.
ABCD is a parallelogram, what is the length of BD
Consequently, Diagonal BD is 10 in length.
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What are given?Php 45.50 - cot of 1 kilo of mango Php 35.00 - cot of a pineapple Php 19.50 -change Php100.00-Amount given to the fruit vendor with olution
It is right to receive a change of 19.50 if Juan gave php 100.00 to the fruit vendor
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Mango = 45.50Pineapple = 35.00Amount given = 100Calculating how many Juan spend we have:
Total cost = mango + pineapple
Total cost = 45.50 + 35.00
Total cost = 80.5
Calculating how much Juan should receive in change:
Change = Amount given - Total cost
Change = 100 - 80.5
Change = 19.5
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Correctly written question:
Juan bought a kilo of mango at 45.50 and pineapple at 35.00 is it right to receive a change of 19.50 if he gave php 100.00 to the fruit vendor?
The perimeter of an isosceles trapezoid is 40 ft. The bases of the trapezoid are 11 ft and 19 ft. Find the area of the trapezoid. Hint: Think characteristics of isosceles trapezoid
The area of an isosceles trapezoid is 45 square ft.
We have to evaluate the area of trapezoid.
The perimeter of an isosceles trapezoid is 40 ft.
The bases of the trapezoid are 11 ft and 19 ft.
The perimeter of an isosceles trapezoid = a + b + c + d
a, b, c and d all are sides of an isosceles trapezoid.
a + b + c + d = 40
According to question, c = d
11 + 19 + c + c = 40
30 + 2c = 40
Subtract 30 on both side, we get
2c = 10
Divide by 2 on both side, we get
c = 5 = d
The formula of area of an isosceles trapezoid is
A = [tex]\frac{1}{2}[/tex](a+b)h, where a and b are bases and h is the height.
We can see on the diagram that we can use Pythagorean theorem to find the height.
According to theorem;
[tex]c^2=a^2+b^2[/tex]
[tex](5)^2 = h^2+(4)^2[/tex]
25 = [tex]h^2[/tex] + 16
Subtract 16 on both side, we get
[tex]h^2[/tex] = 9
Taking square root on both side, we get
h = 3
The height of an isosceles trapezoid is 3 ft.
Now, the area of an isosceles trapezoid is
A = [tex]\frac{1}{2}[/tex](11+19)×3
A = [tex]\frac{1}{2}[/tex] × 30 × 3
A = 15 × 3
A = 45 square ft
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Timmy buys four T-shirts costing t dollars. For buying four T-shirts he gets a 25% discount on each T-shirt. Write two expressions to represent the cost of the four T-shirts
Expression 1: 4t - (4t x 0.25) = 4t - (t) = 3t
Expression 2: 4 x (t - (t x 0.25)) = 4 x (t x 0.75) = 3t
where 't' is the cost of one T-shirt.
In expression 1, the original cost of the four T-shirts (4t) is multiplied by 25% (0.25) which is the given discount percent, and then subtracted from the original cost.
In expression 2, the original cost of one T-shirt (t) is multiplied by 25% (0.25) and subtracted from the original cost, and then the resulting cost (t x 0.75) is multiplied by four to represent the cost of four T-shirts.
Both expressions represent the cost of the four T-shirts after a 25% discount has been applied. they both yield the same result of 3t, which represents the final cost of the four T-shirts after the discount has been applied.
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16 - x + x + 19 - x = 31
Answer:
X = 4
Step-by-step explanation:
We have to add like variables, so all the x variables will be added together. We get this:
-x + 35 = 31
Get x by itself.
-x = -4
Get rid of the negatives since what you do on one side you do to both sides.
x = 4
I hope this was able to help you out :D
16 (-x +x ) +19 + x = 31
16+19+x = 31
35+x = 31
x= -4
hey buddy i hope uh got an answer
relative frequency distributions are generally more useful than frequency distributions when
Relative frequency distributions are generally more useful than frequency distributions when comparing identical-sized data sets.
Absolute frequencies as well as relative frequencies, such as percentages or ratios, can be displayed in frequency distributions.
It is possible to display the frequency distribution of data in a table or graph. Frequency tables, histograms, and bar charts are a few popular ways to display frequency distributions.
Tables of frequencies: A frequency table is an easy way to show how frequently a certain value or feature occurs.
Assume, for instance, that we have gathered information on height from a sample of 50 kids.
Both histograms and bar charts use columns drawn on a graph to visually represent frequencies.
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Complete answer is:-
Fill in the blanks -
Relative frequency distributions are generally more useful than frequency distributions when comparing data sets
true or false: pooled variance is used for an inference about two means for two small independent samples when we assume normal population with equal variance.
It is true that Pooled variance is used for an inference about two means for two small independent samples when we assume normal population with equal variance.
Pooled variance is a statistical method used to estimate the common variance of two small independent samples when the population variances are assumed to be equal.
The pooled variance is calculated by taking the weighted average of the variances of the two samples.
This method is often used in inferential statistics to make inferences about the means of the two populations from which the samples were drawn.
The pooled variance is used to estimate the variance of the difference between the means of the two populations, which is used to calculate the standard error and the t-statistic for testing the difference between the means. Therefore, The statement is true.
so, It is true that Pooled variance is used for an inference about two means for two small independent samples when we assume normal population with equal variance.
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a box contains 90 balls numbered from 1 to 90. if 8 balls are drawn with replacement, what is the probability that at least two of them have the same number?
The probability that at least two of the balls have the same number is 27.40%
What is probability?Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.
Probability requested is equivalent to:
P(at least 2 have same number) = 1 - P(no 2 have the same number)
P(no 2 have same number) = No. of ways to succeed / No. of possible outcomes
No. of ways to succeed = 90P8
No. of possible outcomes = 90^8
No. of ways to succeed =
nPr = n! / (n-r)!
90P8 = 90! / (90-8)!
90P8 = 90! / (82)!
90P8 = 90*89*88*87*86*85*84*83*82! / [(82)!
90P8 = 90*89*88*87*86*85*84*83
90P8 = 3.13x10^15
P(no 2 have same number) = 3.13x10^15 / 90^8
P(no 2 have same number) = 0.73
P(at least 2 have same number) = 1 - P(no 2 have the same number)
P(at least 2 have same number) = 1 - 0.73
P(at least 2 have same number) = 0.2740 = 27.40%
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the time t needed to paint a fence varies directly as the length L and inversely as the number of workers w if it takes 10 hours to paint 400 feet of fence with six workers how long it will take for 10 workers to paint 1000 ft fence
Using the direct and inverse variations, the time taken by 10 workers to paint a fence of 1000 ft is 15 hours.
What is proportionality constant?The ratio between two proportional quantities' constant values is known as the constant of proportionality. When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship. The Direct Variation and Inverse Variation types of proportions between the two provided values determine the proportionality constant's value.
Given that the time t needed to paint a fence varies directly as the length L and inversely as the number of workers w.
This is represented as follows:
t = k(l/p)
Where, k is the proportionality constant.
Given that, it takes 10 hours to paint 400 feet of fence with six workers.
Substitute the value of t = 10, l = 400 and w = 6 in the equation we have:
10 = k (400 / 6)
10 = k (66.66)
k = 10 / 66.66
k = 0.15
Now, for or 10 workers to paint 1000 ft fence, take l = 1000, w = 10, and k - 0.15:
t = (0.15) (1000 / 10)
t = (0.15) (100)
t = 15
Hence, the time taken by 10 workers to paint a fence of 1000 ft is 15 hours.
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URGENT!!
Which of the 3 graphs to the left best models the path
of a firework given it didn't explode?
Note: The path may be going in a different direction,
perhaps reflected or translated vertically or horizontally
while maintaining the same shape.
Linear
Quadratic
Exponential
Explain your thinking.
The path may be Quadratic in nature.
What is a graph?The path of a firework is modeled by a quadratic function. The firework ascends from point of launch with decreasing speed (negative acceleration due to gravity) until it reaches its maximum height and then starts dropping back to the ground at increasing speeds due to positive acceleration exerted by the force of gravity.
The flight path of the parabola can thus be modeled by height as a function of elapsed time
h = f(t) where f(t) is a quadratic equation in t with the general form being
a · t² +b · t + c
We can easily eliminate the linear model since that implies the firework will ascend at a constant speed forever
The exponential model indicates that at the moment of launch the speed of the firework is constant and then it suddenly accelerates. However, we know from observation that the firework has the highest speed at the moment of launch
Do not be confused by the shape of the graph - it seems to indicate the firework shoots down and up.
Note: The path may be going in a different direction, perhaps reflected or translated vertically or horizontally while maintaining the same shape.
Indeed the actual path of the firework is a reflection of the graph about the x-axis. so that it is a downward-facing parabola. The vertex of the parabola is the highest y-value which is the maximum height the firework would reach.
The height would be the y-axis and the time t the x-axis.
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