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)


It goes all the way up to its max point and comes down. Its max point is 32 and how far it went was from 15 to 35


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)


It is a standard form graph and he needs to figure out the speed he is going to go and the angle


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)


F(x)=ax2+bx+c

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)



The picture of the question in the attached figure we know that The equation of a vertical parabola in vertex form is given by where a is the leading coefficient (h,k) is the vertex Looking at the graph we have a vertical parabola open downward (coefficient a is negative)The vertex is a maximum The vertex is the point (25.32) substitute in the equation













c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)


f(x)=-12/25(x-25)^2+32

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)

y = ax^2 + bx + ct




b) Convert the vertex form of the equation you wrote above to standard form. (10 points)







c) 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)


Please help I only need help with steps 2 and 3!

Answer:

m= (c-d)/2

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

do the math

Answer:

Correct option: F.

Step-by-step explanation:

The slope of a line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.

For PR, use P=(-7,7) R=(-4,3). Now calculate the slope

[tex]\displaystyle m=\frac{3-7}{-4-(-7)}[/tex]

For RT, use R=(-4,3) (2,-5). Calculate the second slope:

[tex]\displaystyle m=\frac{-5-3}{2-(-4)}[/tex]

If both slopes are equal, then:

[tex]\displaystyle m=\frac{3-7}{-4-(-7)}=\frac{-5-3}{2-(-4)}[/tex]

Correct option: F.

Answer:

you should add 20 ounces of fertilizer

20 ounces of fertilizer should be added to the water tank holding 50 gallons of water.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given are the directions to prepare a fertilizer for which you should mix four ounces of fertilizer for every ten gallons of water and the water tank containing water holds 50 gallons of water.

10 gallons of water require → 4 ounces of fertilizer

1 gallon of water will require → 4/10 ounces of fertilizer

50 gallons of water will require → (4/10) x 50 = 20 ounces of fertilizer

Therefore, 20 ounces of fertilizer should be added to the water tank holding 50 gallons of water.

To solve more questions on Unitary Method, visit the link below-

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9514 1404 393

Answer:

  B, E

Step-by-step explanation:

The greatest common factor can be found a number of ways. Easiest is to make use of your knowledge of multiplication tables and divisibility rules.

Here, the GCFs are ...

A 6 and 3 --- 3

B 30 and 36 --- 6

C 24 and 48 --- 24

D 60 and 88 --- 4

E 18 and 66 --- 6

F 72 and 84 --- 12

_____

Additional detail on finding the GCF

You can factor numbers to see which factors are common:

  60 = 2^2 × 3 × 5

  88 = 2^3 × 11 . . . . . . . so 2^2 = 4 is the GCF of 60 and 88

You can use the Euclidean algorithm:

  Divide the larger by the smaller and keep the remainder; Replace the larger with the remainder and repeat. If the remainder is zero, the divisor is the GCF.

  84/72 = 1 r 12

  72/12 = 6 r 0 . . . . 12 is the GCF of 72 and 84

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} +\frac{3}{6}[/tex]

[tex]\frac{12}{30} +\frac{15}{30}[/tex]

[tex]\frac{27}{30}[/tex]

[tex]\frac{9}{10}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

when there is a + in front of an expression in parentheses, the expression remains the same.

multiply the numbers. 4-2+15

calculate the sum

and u get 17!

Answer:

10

Step-by-step explanation:

I hope this helps!

Answer:

stacy 30 and naomi 18

Step-by-step explanation:

Answer:

tnbrverwerbtnymu

Step-by-step explanation:

Answer:

THANK YOU SO MUCH !!!!

Keep an eye out for major points! The questions require you to think logically, and are really fun. Correct answers get brainlest! I am just earning more points then i will post.

Answer:

T = Time = 3 years

Step-by-step explanation:

1 = PRT;

1 = Simple Interest = 5040

P = Principal = 24,000

R = Rate = 0.07

T = Time (years) = ? Unknown variable

Making T subject of the formula

T = 1/PR

T = 5040/24,000 × 0.07

T = 5040/1680

T = 3 years

Answer:

[tex]x+y = 80\\325x+50y = 6, 750[/tex]

Step-by-step explanation:

Le x represents the set of new tires

Let y be the set of used tires

If a tire shop counted 80 invoices at the end of the month, then the equal that represents the total amount of invoices counted at the end of the month is:

[tex]x+y = 80 ............ 1[/tex]

If they charge $325 for a set of new tires, the total amount charged for new tires will be:

[tex]325 \times x \\325x[/tex]

If they charge $50 for a set of used tires, the total amount charged for used tires will be:

[tex]50 \times y\\50y[/tex]

If the total dollar amount of the invoices was $6,750, then the expression that models the amount generated on tickets will be:

[tex]325x+50y = 6,750 .............. 2[/tex]

Hence the system of equations represents the situation is:

[tex]x+y = 80\\325x+50y = 6, 750[/tex]

Answer:

x + y = 80

325x = -50y + 6,750

Step-by-step explanation:

Answer:

Step-by-step explanation:

A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.

For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.

Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET

So, the number of maximum subsets we can create from the given set is 8.

The subsets of any set consists of all possible sets including its elements and the null set. Let us understand with the help of an example.

Example: Find all the subsets of set A = {1,2,3,4}

Solution: Given, A = {1,2,3,4}

Subsets =

The subsets of any set consisting of all possible sets including its elements and the null set. Let us understand with the help of an example.

Example: Find all the subsets of set A = {1,2,3,4}

{}

{1}, {2}, {3}, {4},

{1,2}, {1,3}, {1,4}, {2,3},{2,4}, {3,4},

{1,2,3}, {2,3,4}, {1,3,4}, {1,2,4}

{1,2,3,4}

So, the formula is [tex]2^n[/tex].

The given set is,

[tex]A = \{1, 3, 5\}[/tex]

Here the number of an element is 3.

So, the maximum number of subsets we can create is,

[tex]2^n=2^3=8[/tex]

Learn more about the topic Subsets:

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Answer:

-15, -9, -3, 3

Step-by-step explanation:

First One:

y =3(-4)-3 is -15

Second:

y= 3(-2)-3 is -9

Third:

y= 3(0)-3 is -3

Last One:

y= 3(2)-3 is 3

Answer:

The answer is it will cost $64.68.

Step-by-step explanation:

It is (11 x 6)$0.98

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability of at most 2 red cards is 0.5.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Using the given information the number of cards is 24 out of which 12 are red. Therefore, the probability of getting a red card is 0.5.

A) All red cards.

P(X=5) = ⁵C₅ (0.5⁵) (0.5⁰)

            = 0.03125

B.) at least two red cards.

P(X≥2) = 1 - ⁵C₀ (0.5⁰) (0.5⁵) - ⁵C₁ (0.5¹) (0.5⁴)

= 0.8125

C.)  At most 2 red cards.

P(X≤2) = ⁵C₀ (0.5⁰) (0.5⁵) + ⁵C₁ (0.5¹) (0.5⁴) + ⁵C₂ (0.5²) (0.5³)

           = 0.5

Learn more about Binomial Distribution:

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Answer:

Katie spent 29.2 minutes

Step-by-step explanation:

Given

Jasmine:

[tex]Distance = 5\ miles[/tex]

[tex]Rate = 8.4\ mins/mile[/tex]

Katie:

[tex]Distance = 4\ miles[/tex]

Rate = 1.1 mins/mile slower than Jasmine

Time spent by Jasmine:

[tex]Time = Distance * Rate[/tex]

[tex]Time = 5\ miles* 8.4mins/mile[/tex]

[tex]Time = 5* 8.4mins[/tex]

[tex]Time = 42\ mins[/tex]

Time spent by Katie:

[tex]Time = Distance * Rate[/tex]

We have that:

Rate = 1.1 mins/mile slower than Jasmine

So,

[tex]Rate = 8.4 - 1.1[/tex]

[tex]Rate = 7.3[/tex]

[tex]Time = 4 * 7.3[/tex]

[tex]Time = 29.2 \ mins[/tex]

Answer:

249.5 (Note: I am not really sure of my answer so sorry)

Step-by-step explanation:

Let 'x' be the population in 1990.

The population in 2015 is 321.9 million.

The increase in x by 29% = 321.910^6

129% of x = 321.910^6

1.29x = 321.910^6

x = 321.910^6/1.29

x = 249.510^6

x = 249.5 million.

249.5 is the answer

i used siri

Answer:

Sample size required is 267 people

Step-by-step explanation:

The explanation is given in the attachment below

Answer:

h(4) = -28

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

h(n) = -2n² + 4

h(4) is n = 4

Step 2: Solve

Answer:

X>2

Step-by-step explanation:

X+5>7

X>2

×= 7+5=12

×=12

always add the the numbers and the letter is always the answer of what u have gotten.

Answer:   x= -5   hope this helps

Step-by-step explanation:

Answer: -17/27

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

X=12 Y=3^2

Y^2=3x3 Which equals 9 therefore it is 12-9 which equals 3

Answer:

I believe the answer would be 3.

Step-by-step explanation:

I hope this helps

Least Greatest

1, 2, 3, 3, 4, 7, 9

Median: 3

Answer: 16 - C

Step-by-step explanation:

So basicly, what it is asking is to solve this problem. I would like to call it a puzzle because there is a missing part that we have to find. Let's get this started!

Here is the equaiton: 2 x (8 - C)

First, we will multiply 8 by 2.

8 x 2 = 16

Now the equation is: 16 - C

We don't know what C is, so this equation is as done as we can do it.

Answer:

Below

Step-by-step explanation:

The reason why "lower than" would be the correct answer is because the DMV (Department of Motor Vehicles) requires that all drivers drive lower than the posted speed limit when the weather is not god.

The reason why you should travel lower than the posted speed limit is because it will keep you and others safe of the road. Bad weather can lead to things like less traction, less vision on the road, and etc.

When you drive slower than the posted speed limit during based weather, you're allowing your self more time to react if something happens, less likely to lose grip, and keeps you and others safe from any accidents.

Like they always say, you should never travel at a speed that's dangerous for the current road conditions.

Answer:

It already is in standard form

1.8*10^2

Answer:

1.8 x 10²(Standard form) = 180 (Real Number)

How to write in standard form?

The rules when writing a number in standard form is that first, you write down a number between 1 and 10, then you write × 10(to the power of a number)

How do you write 1.8 × 10² in standard form?

Answer:

the anser is 36.6 gallos of weeding in the w

Step-by-step explanation:

Answer:

11/132 = 1/12

Step-by-step explanation:

just put the rise over the run and simplify