4Flaming Hoop Jump of Awesome Daredevil Danny attempts the feat of jumping his motorcycle through the Flaming Hoop Jump of Awesome. In order for Daredevil Danny to pass through the hoop, he will need a safe path to travel. Let’s explore the parabolic trajectory that he will need for a safe journey. Directions Complete each of the following tasks, reading the directions carefully as you go. Be sure to show all work where indicated, including inserting images of graphs. Be sure that all graphs or screenshots include appropriate information such as titles, labeled axes, etc. If your word processing program has an equation editor, you can insert your equations here. Otherwise, print this activity sheet and write your answers by hand. In addition to the answers you determine, you will be graded based on the work you show, or your solution process. So, be sure to show all your work and answer each question as you complete the task. Type all your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations. Your teacher will give you further directions about how to submit your work. You may be asked to upload the document, e-mail it to your teacher, or print it and hand in a hard copy. Now, let’s get started! Step 1: Analyze the graph. Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump. a) What are the key aspects of any parabola? What do the key aspects tell you about the graph? (5 points) b) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points) Step 2: Solve for coefficient a. a) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points) b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points) c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points) Step 3: Change from vertex form to standard form. To get Daredevil Danny through the Flaming Hoop Jump of Awesome, you will need to know the values of a, b, and c, which are the coefficients of the quadratic equation in standard form. a) What is the equation for a parabola in standard form? (5 points) b) Describe how to convert from vertex form to standard form. (10 points c) Convert the vertex form of the equation you wrote above to standard form. (10 points) d) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points) Step 4: Calculate the equation for the flaming hoop jump. Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome! a) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points) b) Determine the values of a, b, and c. Show your work. (10 points) c) Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points) d) Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points)
Answer:
Flaming Hoop Jump of Awesome
Roslyn Bertley
Q : A) What are the key aspects of any parabola? What do the key aspects tell you about the graph?
A : It goes up to its max point and comes down. The max point is 32 and how far it went was from 15 to 35
Q : A) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined.
A : Its a standard form graph , and Danny needs to figure out the speed he is ganna go and the its angle
Step 2: Solve for coefficient a.
Q : A) What equation is used to find the vertex form of a parabola with the vertex (h, k)?
A : F(x)=ax2+bx+c
Q : b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail.
A : The picture lets us know that the equation of a vertical parabola in vertex form is given by wher A is the leading coefficient. (h,k) is the vertex. looking at the graph we have a vertical paraboola opening downward . The vertex is a maximum The vertex is the point (25.32) substitute in the equation
Q : c) What is the vertex form of the parabola from Daredevil Danny’s practice jump?
f(x)=-12/25(x-25)^2+32
Step 3: Change from vertex form to standard form.
Q : a) What is the equation for a parabola in standard form?
A : y = ax^2 + bx + ct
b) Convert the vertex form of the equation you wrote above to standard form.
f(x)= -0.48xˆ2+24x-268
c) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump?
Step-by-step explanation:
that’s all i got
THIS IS DUE TODAY! PLEASE ANSWER!: Find the value of 'X' in the triangle below
Answer:
Step-by-step explanation:
First find the angle in the lower left.
180 - 100 = 80
3x + 2x + 80 = 360
solve for x
5x = 280
5x/5 = 280/ 5
x = 56
Plug this in to make sure the equation is true
3(56) + 2(56) + 80 = 360
168 + 112 + 80 = 360
360 =360
Therefore x = 56
Simplify 2k^8×3k^3
Answer:
[tex]6k^{11}[/tex]
I hope this helps!
Answer:
6 k^ 11
Step-by-step explanation:
2k^8×3k^3
2*3 * k^8 * k^3
6 * k^8 * k^3
When multiplying exponents with the same base, we can add the exponents
6 k^( 8+3)
6 k^ 11
Need for a test !!!!!!!!!!
You have 37.72 g of a material. What volume would this sample occupy if the material has the density listed below? *
5.55 g/cm^3
Answer:
6.79cm^3Step-by-step explanation:
Given data
mass m=37.72g
density=5.55 g/cm^3
volume v=?
We know that density is
density = mass/volume
Substituting into the expression we have
5.55 g/cm^3=37.72/v
cross multiply we have
5.55v=37.72
v=37.72/5.55
v=6.79cm^3
Y=2.25 +1.75(x-1) rate of change
Answer:
I think its -2/7
Step-by-step explanation:
if I'm wrong I'm sorry
The regression equation y = 4x + 20 approximates the number of people attending a picnic, y, given the number of flyers used to advertise it, x. Which statement is true?
Complete question :
The regression equation y = 4x + 20 approximates the number of people attending a picnic, y, given the number of flyers used to advertise it, x.
Which statement is true?
a.) For every extra person attending a picnic, the number of flyers used to advertise it increases by 20.
b.) For every extra person attending a picnic, the number of flyers used to advertise it increases by 4.
c.) For every extra flyer used in advertising, the attendance increases by 20 people.
d.) For every extra flyer used in advertising, the attendance increases by 4 people.
Answer: d.) For every extra flyer used in advertising, the attendance increases by 4 people.
Step-by-step explanation:
Given the regression equation; y = 4x + 20;
Where y = number of people attending a picnic
x = number of flyers used to advertise it
In the equation;
y = predicted variable ; x = predictor variable ; gradient or slope = 4
The slope or gradient is the rate of change un the response variable with respect to a unit change in the independent variable.
Here, the slope value is +4 and is thus interpreted to mean that, for each 1 unit change in the independent variable (number of flyers shared), there is a corresponding increase in the response variable (number of attendees) by a unit of 4.
Answer:
d.) For every extra flyer used in advertising, the attendance increases by 4 people.
Step-by-step explanation:
can someone please help me
Answer:
Multiply 7 by 3.
Step-by-step explanation:
In PEMDAS, parenthesis, exponents, multiply, divide, addition, subtratcion, you start with parenthesis first. Then you look inside the parenthesis, and ythere is no division problems. So you do the multiplication inside the parenthesis.
(3)/(5)x = (2)/(5)x + 8
Answer: x=-19
Step-by-step explanation:
An organization has members who possess IQs in the top 4% of the population. If IQs are normally distributed, with a mean of 100 and a standard deviation of 15, what is the minimum IQ required for admission into the organization?
• Use Excel, and round your answer to the nearest integer.
Provide your answer below:________.
Answer:
The minimum IQ score will be "126".
Step-by-step explanation:
The given values are:
Mean
[tex]\mu = 100[/tex]
Standard deviation
[tex]\sigma=15[/tex]
Now,
⇒ [tex]P(z>x)=4 \ percent \ i.e., 0.04[/tex]
⇒ [tex]P(z>\frac{x- \mu}{\sigma} )=0.04[/tex]
⇒ [tex]1-P(z \leq \frac{x-100}{15})=0.04[/tex]
⇒ [tex]\frac{x-100}{15}=z0.96[/tex]
[tex]=NORMDIS(z=0.96)[/tex]
[tex]=1.751[/tex]
⇒ [tex]x=100+15\times 1.751[/tex]
[tex]=126.265 \ i.e., 126[/tex]
(1) Kareem pumped 28 gallons of water in her pool.This was done over a period of 4 minutes at a constant rate. What was the change in the amount of water in the pool each minute?
Answer:
7 Gallons of water get pumped into the pool every minute.
Step-by-step explanation:
28 Divided by 4= 7 so it is 7 gallons per min.
A friend of mine is giving a dinner party. His current wine supply includes bottles of zinfandel, of merlot, and of cabernet (he only drinks red wine), all from different wineries. If he wants to serve bottles of zinfandel and serving order is important, how many ways are there to do this? If bottles of wine are to be randomly selected from the for serving, how many ways are there to do this? If bottles are randomly selected, how many ways are there to obtain two bottles of each variety? If bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? If bottles are randomly selected, what is the probability that all of them are the same variety?
Answer:
Explained below.
Step-by-step explanation:
The complete question is:
A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel, 10 of merlot, and 12 of cabernet (he only drinks red wine), all from different wineries. a. If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? b. If 6 bottles of wine are to be randomly selected from the 30 for serving, how many ways are there to do this? c. If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? d. If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? e. If 6 bottles are randomly selected, what is the probability that all of them are the same variety?
Solution:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]
Permutation is the number of ways to select k items from n distinct items in a specific order.
The formula to compute the permutation or arrangement of k items is:
[tex]^{n}P_{k}=\frac{n!}{(n-k)!}[/tex]
(a)
The number of ways to serve 3 bottles of zinfandel, with a specific order is:
[tex]^{8}P_{3}=\frac{8!}{(8-3)!}=\frac{8\times7\times6\times5!}{5!}=336[/tex]
(b)
The number of ways to select 6 bottles from the 30 is:
[tex]{30\choose 6}=\frac{30!}{6!(30-6)!}=\frac{30!}{6!\times 24!}=593775[/tex]
(c)
The number of ways to select two bottles of each variety is:
[tex]{8\choose 2}\times {10\choose 2}\times {12\choose 2}=\frac{8!}{2!\times6!}\times \frac{10!}{2!\times8!}\times \frac{12!}{2!\times10!}[/tex]
[tex]=\frac{12!}{(2!)^{3}\times 6!}\\\\=83160[/tex]
(d)
Compute the probability of selecting two bottles of each variety if 6 bottles are selected:
[tex]P(\text{2 bottles of each})=\frac{83160}{593775}=0.14[/tex]
(e)
Compute the probability of selecting the same variety of bottles, if 6 bottles are selected:
[tex]P(\text{Same Variety})=\frac{{8\choose 6}+{10\choose 6}+{12\choose 6}}{{30\choose 6}}[/tex]
[tex]=\frac{28+210+924}{593775}\\\\=0.0019570\\\\\approx 0.002[/tex]
582 x 23 ≈ __________ x __________ = 12,000
can someone please help me with this math problem
Answer:
600 x 20 = 12000
Step-by-step explanation:
582 rounds to 600, and 23 rounds to 20.
The equation said the answer was equal to 12,000 and 600 multiplied by 20 equals 12,000.
jessica edits the school year book she says that the dimensions of the student photo are proportional to the dimensions of the small photo medium photos large photos found throughout the year book. is she correct explain your reasoning.
9514 1404 393
Answer:
no
Step-by-step explanation:
The ratio of width to height for the different photos are ...
student: 1 : 3/2 = (2/2):(3/2) = 2 : 3
small: 2 : 5/2 = (4/2):(5/2) = 4 : 5
medium: 4 : 5 . . . (same as small)
large: 8 : 10 = 4 : 5 . . . (same as small and medium)
The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.
HELP ASAP GIVING BRAINLIEST AND 11 POINTS PLS HELP!!!!!! THANK U SM HOWEVER HELPS IT MEANS A LOT AND ITS DUE IN 20 MINS PLS HURRY AND TYSM AGAIN
Answer:
Slope= 2 / 10 = 1 / 5 = 0.2
y-intercept= (0, -4/5) or (0, -0.8)
Step-by-step explanation:
question 8 i mark as brainliest
Answer:
195 tickets
Step-by-step explanation:
If the dance teacher spent the whole budget, then that means you can just divide the budget by the cost of tickets:
5,460 / 28, which is 195 tickets.
Un paracaidista que pesa 70 N es lanzado de un avión. halla su masa
Answer:
La masa del paracaidista es 7.14 Kg
Step-by-step explanation:
Peso y Masa
La masa de un objeto es una medida de la cantidad de material que el objeto posee. Sus unidades más comunes son el Kg, gr, lb, Ton.
El peso de un objeto de masa m es la fuerza con la cual la Tierra atrae al objeto a través de la aceleración de gravedad g. Sus unidades son iguales a las de cualquier fuerza, es decir, Nw, Kgf, Dina. Su fórmula es:
P=m.g
Si tenemos el peso P=70 N, podemos calcular la masa, despejándola de la fórmula:
[tex]\displaystyle m=\frac{P}{g}[/tex]
Sustituyendo los valores:
[tex]\displaystyle m=\frac{70}{9.8}=7.14\ Kg[/tex]
La masa del paracaidista es 7.14 Kg
Susan read 40 pages of a novel in 80 minutes. How long will it take her to read 210 pages of the novel?
Answer: It will take Susan 420 minutes to read 210 pages of her novel.
Select the correct answer.
A recent survey reported that 9.7% of Virginia's population worked in the construction industry. Which is equivalent to 9.7%?
Question 8 options:
970
97
0.97
0.097
Answer:
0.097
Step-by-step explanation:
Which expression is equivalent to
(2x4y)3
2x7y4
2x12y3
8x7y4
8x12y3
Answer:
D
Step-by-step explanation:
Already did it.
To determine the number of trout in a lake, a conservationist catches 174 trout, tags them and throws them back into the lake. Later, 22 trout are caught; 11 of them are tagged. How many trout would the conservationist expect to be in the lake?
Answer:
348 trouts in the lake
Step-by-step explanation:
Since this is basically a ratio problem and we are given three values we can use the rule of three to solve for the missing variable which would be the total amount of trouts in the lake. To do so we multiply the total amount trouts tagged by the number of trouts caught later. Then we multiply that product by the amount that were found to be tagged later.
22 total trouts caught later <=========> 11 trouts were tagged
x total trouts <=========> 174 trouts tagged
(174 * 22) / 11 = 348 total trouts in the lake
Finally, we can see that the conservationist would expect there to be around 348 trouts in the lake.
Hello tell me a result of a mathematical problem porfa is if pedro is 109 and Angela has 5,000 how much do they have in total?
Answer:
5,109
Step-by-step explanation:
:) please give brainliest
The temperature rose by 3°C. Suppose it fell from -2°C to -10°C. Predict whether the change in temperature would be positive or negative.
Answer:
Probably negative.
Step-by-step explanation:
It fell 8 degrees celsius. That's a lot!
Segments CD, GH, and JK intersect at point A. Line AB bisects Line JK. Find the values of a and y
Answer:
x = 67.5°
y = 27.5°
Step-by-step explanation:
Find x:
m<CAJ = 22.5° (given)
<CAJ and <DAK are vertical angles. Vertical angles are congruent, therefore,
m<DAK = m<CAJ
m<DAK = 22.5° (substitution)
m<BAK = right angle (AB is perpendicular to JK)
Therefore,
m<BAK = 90°
m<DAK + x° = m<BAK (Angle addition postulate)
22.5° + x° = 90° (substitution)
Subtract 22.5 from both sides
x = 90° - 22.5°
x = 67.5°
Find y:
m<CAH = 130° (given)
m<CAH + m<DAK + m<HAK = 180° (Angles on a straight line)
130° + 22.5° + m<HAK = 180° (Substitution)
152.5 + m<HAK = 180°
Subtract 152.5 from both sides
m<HAK = 180° - 152.5°
m<HAK = 27.5°
y = m<HAK (vertical angles are congruent)
y = 27.5° (substitution)
The value of x and y from the figure is 27.5 and 62.5 degrees
To get the value of y, we will take the sum of angle on a straight line JK to have:
22.5 + 130 + x = 180
152.5 + x = 180
x = 180 - 152.5
x = 27.5 degrees
For the angle x, the sum of x and y from the diagram is complementary. Hence;
x + y = 90
y = 90 - x
y = 90 - 27.5
y = 62.5 dgrees
Hence the value of x and y from the figure is 27.5 and 62.5 degrees
Learn more on angles here: https://brainly.com/question/24775470
10 points if you answer
Answer:
tbh i think it b or c
Step-by-step explanation:
i domnt really know about slope that well but i think it is c
Answer:
i think it is a
Step-by-step explanation:
Two student clubs plan to share a bus on a trip to the capital.Transportation and lunch for one day is 12 bucks per student.One club has 25 members and the other club has 18 members.What is the total cost of the trip
Answer:
516
Step-by-step explanation:
add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total
20 penguins on a ice berg 9 jump in the water 8 move to a island how many are left on the ice berg
Answer:
3
Step-by-step explanation:
20-9=11
11-8=3
3 is the final answer
Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30
Answer:
y-int = -10, x-int = 15/2
Step-by-step explanation:
y int:
-4(0)+3y=-30
3y=-30
y=-10
x int:
-4x+3(0)=-30
-4x=-30
x=30/4=15/2
3. Find the slope of the line described by the equation.
5x = 90 – 9y
Answer
x= -9y/5 +18
y= -5x/9 +10
Step-by-step explanation:
Step-by-step explanation:
5x=90-9y
9y=-5x+90
y= (-5/9)x+10
Slope= -5/9
In a school auditorium there are 33 seats in each row of seats how many rows are needed for 528. Students to each have a seat
Answer:
16
Step-by-step explanation:
just divide 528 by 33
Solve for x. 3(2x - 3) + 3 = 24
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{x = 5}}}}[/tex]
Step-by-step explanation:
[tex] \text{3(2x - 3) + 3 = 24}[/tex]
[tex] \text{Step \: 1 \: : \: Distribute \: 3 \: through \: the \: parentheses\: }[/tex]
[tex] \text{ ➳\: 3 * \: 2x - 3 * 3 + 3 = 24}[/tex]
[tex] \text{➳ \: 6x - 9 + 3 = 24}[/tex]
[tex] \text{Step \: 2 : \: Subtract \: 3 \: from \: 9}[/tex]
[tex] \text{➳ \: 6x - 6 = 24}[/tex]
[tex] \text{Step \: 3 : Add \:6 \: on \: both \: sides}[/tex]
[tex] \text{➳ \: 6x - 6 + 6 = 24 + 6}[/tex]
[tex] \text{➳ \: 6x = \: 30}[/tex]
[tex] \text{Step \: 4 : Divide \: both \: sides \: by \: 6}[/tex]
[tex] \text{➳ 6x / \: 6 \: = \: 30/ \: 6}[/tex]
[tex] \text{➳ \: x = 5}[/tex]
[tex] \text{The \: value \: of \: x \: is \: 5}[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
