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.
Answers
Answer:
Quadratic
Step-by-step explanation:
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 it maximum height and then starts dropping back to 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.
The note says:
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 time t the x-axis
Related Questions
Alexa was comparing the price of salmon at two stores. The equation � = 11.54 � y=11.54x represents the total cost, in dollars and cents, � y, that it costs for � x pounds of salmon at SuperGrocery B. At SuperGrocery A, 5 pounds of salmon costs $37.10.
Answers
The total cost of x pounds of salmon is y = 11.54x at SuperGrocery B and y = 7.42x at SuperGrocery A
What is an equation?An equation is an expression that shows the relationship between numbers and variables.
The slope intercept form of linear equation is:
y = mx + b
Where m is the rate of change and b is the initial value of y
The standard form of a linear equation is:
Ax + By = C
where A, B and C are constants.
Let y represent the costs for x pounds of salmon.
At the Super Grocery B:
y = 11.54x
At Super Grocery A, 5 pounds of salmon costs $37.10, hence:
y = (37.10/5)x
y = 7.42x
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what is (-5x+3)-(-7x7)
Answers
Answer: (-5x+3) - (-7x7) = -5x + 3 - (-7x7) = -5x + 3 + 7x7 = 2x7
The expression (-5x+3) - (-7x7) is the result of subtracting two algebraic expressions. When subtracting algebraic expressions, we need to distribute the negative sign to each term before combining like terms.
The first step is to distribute the negative sign to each term in the second expression, (-7x7). This gives us:
(-5x+3) - (-7x7) = -5x+3 + 7x7
Now we can combine the like terms, x7, to get the simplified expression:
-5x+3 + 7x7 = 2x7
So the final answer is 2x7.
Step-by-step explanation:
† 7x7 = 2×7
The expression (-5x+3) - (-7x7) is the result of subtracting two algebraic expressions. When subtracting algebraic expressions, we need to distribute the negative sign to each term before combining like terms.
The first step is to distribute the negative sign to each term in the second expression, (-7x7).
This gives us:
(-5×+3) -(-7×7) = -5×+3 + 7×7
Now we can combine the like terms, ×7, to get the simplified expression:
-5x+3 + 7×7 = 2x7
So the final answer is 2x7.
A family has two cars. During one particular week, the first car consumed 35 gallons of gas and the second consumed 20 gallons of gas. The two cars drove a
combined total of 1575 miles, and the sum of their fuel efficiencies was 60 miles per gallon. What were the fuel efficiencies of each of the cars that week?
Note that the ALEKS graphing calculator can be used to make.computations easier.
First car: miles per gallon
Second car: miles per gallon
Answers
Solving a system of equations we will see that the efficiency of the first car is 25 miles per gallon, and the one of the second car is 35 miles per gallon.
How to find the fuel efficiencies?Let's define the variables:
x = fuel efficiency of the first car.
y = fuel efficiency of the second car.
We know that the sum is equal to 60 miles per galon, thus:
x + y = 60
We also know that the he first car consumed 35 gallons of gas and the second consumed 20 gallons of gas. The two cars drove a combined total of 1575 miles, this can be written as:
35x + 20y = 1575
Then we have a system of equations:
x + y = 60
35x + 20y = 1575
We can isolate x on the first equation to get:
x = 60 - y
And substitute that in the other equation:
35*(60 - y) + 20y = 1575
2100 - 15y = 1575
2100 - 1575 = 15y
525/15 = y
35 = y
And x = 60 - y = 60 - 35 = 25
These are the efficiencies.
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I Need help quick! Tyyy!
Answers
The required answer of given parts are 1) 4500 ft² 2) 2700 ft² 3) $1485.
What is right angled triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The sum of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
According to question:1) Area of design = area of rectangle + 2(area of triangle)
Area of design = (60×30) + 60×45
Area of design = 1800 + 2700
Area of design = 4500 ft²
2) Area covered by grass = 2(area of triangle)
Area covered by grass = = 60×45
Area covered by grass = 2700 ft²
3) installment of grass is $0.55 per ft².
So,
For 2700 ft²
= 2700 ft²(0.55)
= $1485
Thus, required answers are 1) 4500 ft² 2) 2700 ft² 3) $1485.
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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?
Answers
The length of the rectangular field is 200 meters.
Given, we have length of the field equal to twice its breadth. Let the breadth of the field be "b". Therefore, length will be "2 x b". Now, Meghna jogged around the field 5 times which means she covered the perimeter of the field 5 times. We know that the perimeter of a rectangular field is [tex]2(l+b)[/tex] where l is the length of the rectangle and b is the breadth.
After jogging around the field 5 times, she covered a distance of 3 km. Converting kilo meters into meters: 3km ⇒ 3 x 1000 = 3000 meters. Now, We can equate the perimeter of the rectangle with the given information like this :
⇒[tex]2(l+b) * 5 = 3000m[/tex]
We already know that length = 2b, therefore putting in the equation gives us :
⇒ 2(2b+b) x 5 = 3000m
⇒2(3b) x 5 = 3000m
⇒10(3b) = 3000m
⇒30b = 3000m
Dividing both sides of the equation with 30,
⇒b = 100 m
Since, length = 2b, Therefore Length ⇒ 2 x 100m = 200m
∴ The length of the field is 200m
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to own and operate a home printer it costs $100 for the printer and additional $0.05 per page for ink
let p represent the number of pages let t represent the total costs
A,write an equation to represent each printing scenario Y=mx+b
Answers
The equation that represents each printing scenario will be t = 0.05p + 100.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Owning and operating a home printer costs $100 for the printer and an additional $0.05 per page for ink.
Let 'p' represent the number of pages and 't' represent the total costs. Then the equation is given as,
t = 0.05p + 100
The equation that represents each printing scenario will be t = 0.05p + 100.
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Identify the dependent and independent variables for each relation
The faster you drive your car, the longer it will take to come to a complete stop
The Spanish classes are having a fiesta lunch. Each student that attends is to bring a Spanish side dish or dessert. The more students that attend, the more food there will be
Answers
Answer: The dependent variable is the time it takes to come to a complete stop. The independent variable is the speed at which you drive your car.
The dependent variable is the amount of food there will be. The independent variable is the number of students who attend the fiesta lunch.
Step-by-step explanation:
Find the area of a circle with diameter, d = 8.6m. Give your answer rounded to 1 DP.
Answers
Answer:
58.1 m²
Step-by-step explanation:
d = 8.6 m
r = d/2 = 4.3 m
A = πr²
A = 3.14159 × (4.3 m)²
A = 58.1 m²
I do not understand please 5(x-3)-x=
Answers
Answer:4x-15
Step-by-step explanation:
Answer:
4x-15 <---
Step-by-step explanation)
1) Distribute the X to both the x and the -3
2) You'll end up with, 5x-15-x=...
3) And, now look at the like terms. The like terms in this case are 5x and the -x.
4) 5x-x =4x
5) And, now put them together, and you'll get 4x-15!
HOPE IT HELPS! <3
I need help with this problem. Please show work and tell me if its one solution or all or none.
2x-y=9
2x+y=11
Answers
Answer:
x = 5, y = 1
Step-by-step explanation:
2x - y = 9
2x + y = 11 subtract equation 2 from equation 1
0 - 2y = -2
y = -2/-2 = 1 substitute into equation 1 or 2 to solve for x
2x - 1 = 9
2x = 10
x = 10/2 = 5
C is the circumcenter of isosceles triangle ABD with vertex angle ∠ABD. Does the following proof correctly justify that triangles ABE and DBE are congruent? It is given that triangle ABD is an isosceles triangle, so segments AB and DB are congruent by the definition of isosceles triangle. It is given that C is the circumcenter of triangle ABD, making segment BE a median. By the definition of perpendicular, angles AEB and DEB are 90°, so triangles ABE and DEB are right triangles. Triangles ABE and DEB share side BE making it congruent to itself by the reflexive property. Triangles ABE and DBE are congruent by HL
Answers
The incenter is where a triangle's angle bisectors meet. Since C is the incenter, segment BC should be the angle bisector. So, there is an error in line 3; segment AB and BC are congruent.
Any triangle with any 2 sides that are the same length is defined as an isosceles triangle. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides.
If all three angles of the three triangles are acute, the circumcenter of an isosceles triangle sits inside the triangle. The circumcircle's chords are the sides of the triangle. In this case, the circumcenter is outside of the triangle since one of the angles is 90 degrees.
The circumcenter of a triangle ABC is the location where the perpendicular bisectors of its sides cross.
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The complete question is given below:
Fiona wants to earn at least $100 this week. She makes $11 an hour babysitting. Choose the inequality that shows the number of hours Fiona needs to babysit in order to reach her goal.
h≥11
h>9
h>8
h≥9
Answers
The inequality that shows the number of hours Fiona needs to babysit in order to reach her goal is h>9.
What is inequality?
The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.
Given that,
Fiona wants to earn at least [tex]\$[/tex]100
She makes [tex]\$[/tex]11/hour
in order to reach her goal = 100/11 = [tex]\$[/tex]9.09 .
The inequality that shows the number of hours Fiona needs to babysit in order to reach her goal is h>9.
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Plss help 20 points!
Answers
Average price is the mean price of an asset or security observed over some period of time.
Define average price in gas?
Weighted Average Gas Price means the total payment made by the Buyer to the Seller for Seller's Gas delivered in a month divided by the total MMBtu of Seller's Gas delivered for that month.In basic mathematics, average price is a representative measure of a range of prices. It is calculated by taking the sum of the values and dividing it by the number of prices being examined.Get the miles traveled from the trip odometer, or subtract the original odometer reading from the new one.Divide the miles traveled by the amount of gallons it took to refill the tank. The result will be your car's average miles per gallon yield for that driving period.To learn more about average refers to:
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1
2. Jim is 8 years old, and his Uncle Bill is 5 times older
2
than he his. What is his Uncl Bill's age?
Answers
Answer:
Uncle Bill is 40 years old.
Step-by-step explanation:
Jim is 8 years old, and Uncle Bill is 5 TIMES older, meaning he is 5x8. Which would be 40 years old.
Complete the conversion.
64 c = pt
Answers
Answer:
64c = 32pt
Step-by-step explanation:
There are 2 cups in 1 pt. 64 divided by 2 is 32pt.
Also, just imagine the cups as double the number of the pints
Ex. 32 + 32 = 64
Solve for p and q so that x=-1.
px+6=3(x+q)
Answers
By comparative methods, the values of variables p and q such that p · x + 6 = 3 · (x + q) are 3 and 2, respectively.
How to determine the value of two coefficients within a linear equation
In this question we find the case of a linear equation with three variables (p, q, x). Theoretically, it cannot be solved because the number of variables is greater than number of equations. Nonetheless, we can infer the values of p and q by means of comparative methods and equality properties.
First, write the linear equation:
p · x + 6 = 3 · (x + q)
Second, expand the expression by algebra properties:
p · x + 6 = 3 · x + 3 · q
Third, compare terms on each side of equality:
p = 3
6 = 3 · q
q = 2
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Help me with simplified expressions of a side length of a triangle, please!
Answers
Answer:
2w³ +w
Step-by-step explanation:
Given expressions for the sides of a triangle, (-10w³+w) and (4w³-3w), and for the perimeter, (-4w³-w), you want an expression for the third side.
PerimeterThe perimeter is the sum of the side lengths. This relation can be used to find the length of the third side:
Perimeter = side 1 + side 2 + side 3
-4w³ -w = (-10w³ +w) +(4w³ -3w) +side 3
-4w³ -w = -6w³ -2w + side 3 . . . . . . collect terms
side 3 = (-4w³ -w) -(-6w³ -2w) . . . . . . . subtract (-6w³ -2w)
side 3 = 2w³ +w . . . . . . . . . . . . . . . . collect terms
4. Please Help ASAP!
Use this balanced reaction to show that you can write the equation that makes chemical sense.
Explain how your symbols were derived in paragraph form..
Answers
The simulation provides information about the concept of balancing a chemical equation through visual representation and interactive tasks.
What is your understanding about given chemical reaction?The user is able to balance the equation by adjusting the coefficients of the reactants and products to ensure that the number of atoms of each element is conserved on both sides.It did not have to research outside the simulation for information about balancing a chemical equation. The simulation provides enough information to understand the concept.The simulation can be used to check learning by allowing the user to practice balancing different chemical equations and receive feedback on their work. This helps to reinforce the understanding of the concept and identify any areas where further improvement is needed.In the balanced reaction CO2 + H2O -> C2H6 + O2, the coefficients were derived by ensuring that the number of atoms of each element was conserved on both sides of the equation. This means that the same number of carbon, hydrogen, and oxygen atoms are present in the reactants and products. To balance the equation, the coefficients were adjusted until this condition was met.To show the molecular representations of a balanced reaction, the molecular structures of the reactants and products can be drawn, showing the individual atoms and their connections. In the case of the reaction CO2 + H2O -> C2H6 + O2, the molecular structure of CO2 is a linear arrangement of two oxygen atoms bonded to a carbon atom. The molecular structure of H2O is a bent arrangement of two hydrogen atoms bonded to an oxygen atom. The molecular structure of C2H6 is a hexagonal arrangement of six hydrogen atoms bonded to a carbon atom. The molecular structure of O2 is a linear arrangement of two oxygen atoms bonded to each other. These representations were derived by following the basic principles of chemical bonding and considering the arrangement of atoms in the molecules.
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Give the length of the line segments in the requested units.
AC = _ mm
CF = _ mm
EG = _ m
I would appreciate a step by step explanation, I’ve never been taught any of this stuff and it’s relatively new to me. Thanks! ^
Answers
The lengths of the line segments in the requested units are:
AC = 50 mm
CF = 30 mm
EG = 0.15 m
How to find the length of the line segments in the requested units?A line segment is a part of a line that is defined by two distinct endpoints and all the points on the line between them.
The length of a line segment is the distance between the two endpoints. The two endpoints are also known as the "extremities" of the line segment
The length of the line segments in the requested units is as follow.
From the figure AC = 5 cm and CF = 3cm
Since 1cm = 10mm. Thus:
AC = 50 mm
CF = 30 mm
EG = AB and AB = 15 cm
EG = 15 cm
Since 100 cm = 1m
Thus, EG = 0.15m
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what is 10% of 125???
Answers
Answer: 10% of 125 is 12.5
Answer:12.5
Step-by-step explanation:
Divide 125 by 10%. 125 divided by 10% is 12.5.
Write the equation of each line given the y-intercept and x-
Answers
The equation of each line given the y-intercept and x-intercept
5 and -4 is 4y- 20 = 5x.
The line has an x-intercept at x = -4 and y intercept at y = 5 this means that the line passes through the points(,0) and(,5).
Now we find the pitch m of the line passing through the points(,0) and(,5)(x-intercept).
The pitch of the line is
m = y2- y1/ x2- x1
= 5- 0/ 0-(- 4)
= 5/ 4
Point- pitch Formula y = m(x-x1)
where m is the pitch and( x, y) is the given point.
Now substituting the values
y- 0 = (5/4)( x-(- 4))
y = (5/4)( x 4)
4y- 20 = 5x
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The complete question :
Find the equation of the line that has an y intercept and x-intercept at
5 and -4.
4. Describe the graph of the line x = 12.
O vertical line
Oline with slope of 12
crosses the y-axis
O horizontal line
Answers
Answer:
The graph of the line x = 12 is a vertical line.
A vertical line is a line with a constant x-value, in this case x = 12, so all the points on the line will have an x-coordinate of 12, regardless of their y-coordinate. All the point on the line will have the same x-coordinate and it will be parallel to the y-axis.
It does not have a slope, does not cross the y-axis, it is not horizontal.
A home improvement store sells lumber by the foot. It costs $24 to buy 8 feet of lumber.
Fill in the table.
Answers
Answer:
The price per foot is $3
Step-by-step explanation:
The order for the answers on the chart are 3, 4, 72, 40.
Two bags each contain five letter tiles. The sample space is shown below. Jennifer selects one tile from each bag without looking. What is the probability that Jennifer selects two vowels
Answers
The probability that Jennifer selects two vowels is 24%.
How to calculate the probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to predict with absolute certainty. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
Here, the probability that Jennifer selects two vowels is:
= 3/5 × 2/5.
= 6 / 25
= 24%.
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Frannie put 1/5 of her music collection on an MP3 player. While on vacation she listened to 1/6 of the music on the player. How much of Frannie’s music collection did she listen to while on vacation? Choose the correct values to describe how to solve the problem.
Draw a rectangular array with 5 rows and A) 5 B) 6 C) 9 rows.
Shade A) 4 B) 1 C) 3 rows gray.
Shade A) 2 B) 1 C) 4 columns black.
Please help me with this I will mark brainliest!!!
Answers
Frannie listened to 1/30 of her music collection while on vacation.
We have been given that Frannie put 1/5 of her music collection on an mp3 player. while on vacation, she listened to 1/6 of the music on the player.
To find the amount of music collection listened to by Frannie, while on vacation, we need to find 1/5 of 1/6.
The amount of music collection listened to by Frannie on the vacation: =1/5*1/6
=1/30
Therefore, Frannie listened to 1/30 of her music collection while on vacation.
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To the nearest hundredth, find the value of x.
Answers
Answer:
Step-by-step explanation:
over the past few decades, public health officials in massachusetts have been examining young-teen smoking. the long-run average smoking prevalence in the state has been 26%. officials have been hopeful that their ad campaigns on billboards and tvs have been effective at lowering smoking rates for this age group. researchers surveyed a group of 273 randomly selected teens living in massachusetts (between 12 and 15 years old). sixty-three said they smoked. is there good evidence that smoking rates for young teens have decreased?
Answers
There is good evidence that smoking rates for young teens in Massachusetts have decreased.
To answer this question, we need to calculate the proportion of teens in the sample who said they smoked (63/273). This gives us a sample proportion of 0.23, which is lower than the long-run average smoking prevalence in the state (26%). This suggests that there is good evidence that smoking rates for young teens have decreased.
We can also calculate a confidence interval to further assess the evidence. A 95% confidence interval for the true proportion of teens in Massachusetts who smoke would be (0.17, 0.29). This confidence interval does not contain the long-run average smoking prevalence of 26%, which suggests that there is a statistically significant decrease in smoking rates for young teens in Massachusetts.
Overall, there is good evidence that smoking rates for young teens in Massachusetts have decreased.
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will give brainliest
Answers
When the line of slope of 3 passes through two points, the value of y is -8.
What is slope?The slope or gradient of a line in mathematics is a number that describes both the direction and the steepness of the line. The slope of a line indicates its steepness. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope is a numerical value that describes the steepness of a line and is typically calculated by dividing the vertical distance by the horizontal distance (rise over run) between two points.
Here,
m=3
m=(y2-y1)/(x2-x1)
3=(y+5)/(-3+(2))
-3=y+5
y=-8
The value of y is -8 when the line of slope of 3 is passing through 2 points as given.
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10. Hamal has a new part-time job bagging groceries after school. The 2 po equation y = 10x + 50 shows the relationship between his hours of work (x) and the amount of money in his bank account (y). How much money did he have in his bank account before he started working?*
Answers
If the relationship between his hours of work (x) and the amount of money in his bank account (y) is represented by equation "y = 10x + 50" , then the money did he have in his bank account before he started working is $50 .
The equation y = 10x + 50 shows the relationship between Hamal's hours of work (x) and the amount of money in his bank account (y).
When x = 0, the equation becomes y = 10(0) + 50, which simplifies to y = 50. So when Hamal has not worked any hours, he has $50 in his bank account.
In other words, the y-intercept of the equation is 50, which represent the amount of money Hamal had in his bank account before he started working.
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Ten people were chosen at random and surveyed. The survey asked participants for the number of hours they watched TV per day and their ages. Letting X represent the number of hours the participant watched TV per day and Y represent the participant's age, the surveyor calculated the correlation coefficient between X and Y to be 0.19. Interpret the correlation coefficient calculated by choosing the statement below which correctly describes the association between X and Y. A. weak positive association B.weak negative association C. strong positive association D. strong negative association
Answers
Answer:
The correlation coefficient of 0.29 indicates that the correlation is a weak positive correlation. Thus option (D) is the correct answer.
What is correlation?
"Correlation is a statistical tool that studies the relationship between two variables. Data sets have a positive correlation when they increase together, and a negative correlation when one set increases as the other decreases".
For the given situation,
Correlation coefficient = 0.29
Positive correlation: the two variables change in the same direction.
Negative correlation: the two variables change in opposite directions.
No correlation: there is no association or relevant relationship between the two variables.
The correlation coefficient lies between 0 to 0.3 indicating that the correlation is a weak positive correlation.
Hence we can conclude that option (D) weak positive correlation is the correct answer.