The height of a boulder falling off a 500 meter cliff can be modeled using a quadratic equation.
Part A: Write the quadratic equation to represent this situation.
Part B: Determine the time it will take the boulder to reach the ground.
Part C: In one paragraph, using your own words, explain your work in Steps A and B.​

Answers

Answer 1

Answer:

The answer is t=4 s

Step-by-step explanation:

Answer 2

Answer: T=4s

Step-by-step explanation: it is option 2


Related Questions

Samantha plays a game in which she rolls two standard dice and finds the sum of the dots facing up. Which shows all the possible outcomes for each roll of the dice?

Answers

Answer:

Kindly check attached picture

Step-by-step explanation:

A standard dice has 6 faces numbered {1,2,3,4,5,6}

For 2 dice, n = 2 ; sample space = n² = 6² = 36

The sum of the 2 upward facing dots:

{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6);

(2,1 ) (2,2),(2,3),(2,4),(2,5),(2,6) ;

(3,1)(3,2)(3,3)(3,4)(3,5)(3,6);

(4,1)(4,2)(4,3) (4,4)(4,5)(4,6);

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6);

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)}

I need help pls help me
−k+3k

Answers

2k????????????????????????

Solve the following system of equations:
y = 2x +1
y=-x+ 4

x=?
y=?​

Answers

Answer:

x = 1, y = 3

Step-by-step explanation:

Given the 2 equations

y = 2x + 1 → (1)

y = - x + 4 → (2)

Substitute y = 2x + 1 into (2)

2x + 1 = - x + 4 ( add x to both sides )

3x + 1 = 4 ( subtract 1 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1) and evaluate for y

y = 2(1) + 1 = 2 + 1 = 3

Then solution is x = 1, y = 3

Sherry is driving 390 miles to visit The gateway arch in St. Louis. She drives at an average rate of 65 miles per hour. Explain how you can find the amount of time it will take Sherry to get to the arch

Answers

Answer:

t = 6 s

Step-by-step explanation:

Given that,

Sherry is driving 390 miles to visit The gateway arch in St. Louis.

She drives at an average rate of 65 miles per hour.

We need to find the amount of time it will take Sherry to get to the arch. Let the time is t.

Speed = distance/time

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{390}{65}\\\\t=6\ h[/tex]

Hence, it will take 6 hours to get to the arch.

Someone pls help me solve this I’m having really bad anxiety!

Answers

I'm having anxiety for you too man

You're planning on making 7 meatloafs for a party. You go to the store to buy breadcrumbs, and see they are sold by the canister. How many canisters do you need to buy? First, determine what information you need to answer this question, then click here to display that info (along with other info). How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf. How many people can 1 meatloaf feed? It says it serves 8. How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall. What is the net weight of the contents of 1 canister? 15 ounces. How much does a canister cost? $2.19 How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help. Nutritional label showing the serving size is 1/3 cup (30g), and there are about 14 servings per container.

Answers

Let's first find out how much breadcrumbs we're going to need:
1 3/4 cups → 7/4 cups per meatloaf
7 cups/4 * 1 meatloaf * 7 meatloafs = 49/4 cups of breadcrumbs needed in total.

Now let's find out how many cups are in a canister:
1/3 * 14 = 14/3 cups (we're given 1/3 a cup is a single serving size, and each canister holds about 14 servings)

Here's the algebraic way of solving:
14/3 n ≥ 49/4, where n is the number of canisters needed. I'm using ≥ because we cannot buy only part of a canister. Multiply both sides by 3/14:
14/3 n * 3/14 ≥ 49/4 * 3/14
We can factor out a 7:
n ≥ 7/4 * 3/2
n ≥ 21/8 → 2 5/8
Rounding up, you're going to need three canisters:
28/3 (2 canisters) < 49/4 (needed) < 42/3 (3 canisters)
9 1/3 < 12 1/4 < 14

answer for brainlist and extra points!! <3

Answers

Answer:

75

Step-by-step explanation:

45+(2*15)

45+30

75

Hope it helped!

Answer:

Equation: 45 + 2(x)

Answer: 45 + 2(15) = 45 + 30 = $75

Step-by-step explanation:

45: # of money she had

2: the amount of money she makes when she completes her chores

x: the number of days she completes her chores

Hope this helps!

Un auto A se desplaza por una carretera recta a una velocidad constante de 80 km/h otro auto B se localiza 30 km delante del auto a y se desplaza por la misma carretera a una velocidad constante de 60 km/h  ¿cuál es la regla de correspondencia de ambos autos? Y sutabla de valores?

Answers

Question in English:

Car A travels along a straight road at a constant speed of 80 km / h another car B is located 30 km in front of the car and it travels along the same road at a constant speed of 60 km / h cuál what is the rule of correspondence of both cars? And your table of values?

Plzzzzz give me Brainliest!!!!!  

the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed.)​

Answers

Answer:

h = 14.49 feet.

Step-by-step explanation:

From the attached figure,

Base = 14 ft

Height = h

Angle = 46°

We need to find the height of the main sail. To find it we can use trigonometry.

The relation between height, base and angle is given by :

[tex]\tan\theta=\dfrac{\text{Height}}{\text{Base}}\\\\\tan(46)=\dfrac{h}{14}\\\\h=\tan(46)\times 14\\\\h=14.49\ ft[/tex]

So, the height of the main sail is 14.49 feet.



Write a story that could represent this math problem.

Answers

Answer:

Every year, my aunt Yannah makes 4 Pumpkin Pies for thanksgiving. She always cuts them into 8th's for all of us and for me and my family to share. This year, only 3/8 was eaten of each Pumpkin Pie. I want to know how much of the Pumpkin Pie was eaten, and if my aunt Yannah should make less pie next year? 

That is the story ^

                           |

ANSWER: 12/8

PLZ HELP WILL MARK BRAINLEST work out both

Answers

Answer:

3*6+5= 23

Step-by-step explanation:

1.) 3•6+5
18+5
23

2.) 7^2-18/3
49-6
43

PLEASE DONT SKIP THIS I NEED HELP

Can someone please explain how to solve this problem?

Answers

I would say 168 because if you throw a dice with 6 sides a thousand 1000 you will most likely get one certain side 168 times.

Which of the following values are solutions to the
inequality –8 + 2x > 5

Answers

Answer:

6

Step-by-step explanation:

i guess

Andre and Elena are reading the same book over the
summer. Andre says he has read of the book.
Elena says she has read 20 more pages than Andre. If
Elena is on page 55, how many pages are in the book?
Lin has drawn a diagram to solve this question.
Find her error. Then explain her mistake. Use the
sketch tools to help.

Answers

wait the question is asking how many pages are in the book? i'm not sure we know that info, all we know is that Elena is on page 55, and Andre is on page 35. also, could you send a pic of the diagram? this question needs more info to be solved.

please solve these problems

Answers

Answer:

1/3x - 2y - 5x + 8

Step-by-step explanation:

Given:

1/3x - 2y - 5x + 8

1. There are four (4) terms in the expression: 1/3x, -2y, -5x, 8

2. Like terms are terms which have the same thing in common such as 1/3x, -5x in the expression

3. A constant is a term without a variable. 8 is the constant in the expression

4. The variables in the expression are: x and y

5. The coefficients are; 1/3, -2, and -5

Use the substitution to solve the system.
-4x+3y=32
y=3x+19

x=
y=

Answers

Answer:

x=-5

y=4

(-5,4)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−5,4)

What should be subtracted from -8xy + 2x^2 + 3y^2 to get x^2 + 2

Answers

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

= x^2 + 2

Put your answers in the green
boxes.

Answers

Answer:

1. 2m^2-2n^2

Step-by-step explanation:

1. (m-n)(m^2+mn+n^2)

m^2=m

n^2=n

=(m-n)(m+mn+n)=(m-n)(2m2n)

Multiple

=2m^2-2n^2

After the video game store, Larry goes to the music store online and downloads four new songs to his phone for $3.99 each. If tax is 7%, how much does he spend in all?

Answers

Answer:

Larry spends $22.96 total with the tax

I'm not sure if this is correct of not

2y = -1x -8
rewrite each of the following equations in y= mc + b form

Answers

Answer: y=-1x-8

Step-by-step explanation:

The first step is to: Move the 'X' to the right side of the equation.

The second step is to: Divide the 'Y'

But since the 'X' is already on the right side you will just divide the 'Y'. If the 'X' was on the left then you will follow those steps that I gave you at the beginning in order to get it in the y=mx+b.  

So it will look like this:

2y=-1x-8

y=-1x-8

y= -1(is the slope)x-8(is the Y-intercept)

So, if you have to graph this you will graph it starting with negative 8 as the y-intercept. Then you will go down one and over 1.

1x + 7 = 9x + 2 what is x

Answers

Answer:

5/8 or 0.625

Step-by-step explanation:

first you'll subtract 1x from the left and subtract 2 from the right

1x+7=9x+2

-1x .   -1x

7=8x+2

-2    -2

5=8x

divide this by 8

5/8 or 0.625

the answer is x = 5/8, let me know if i’m wrong :)

The expression (2x^2)^3 is equivalent to _____. ^this is for to remind that the 2 and 3 are exponents

a.6x2
b.6x5
c.8x6

Answers

Answer:

c

Step-by-step explanation:

(2x²)³ = 2³(x^(2×3))

=2³x⁶

=8x⁶

An initial population of 30 rabbits doubles each year for 6 years what is the rabbit population after 6 years?

Answers

Answer:

1920

Step-by-step explanation:

Each time you multiply by to 6 times. 30 does not count as a year.


If you paid m dollars for a meal at a restaurant. Write an expression that will represent the amount you will pay, including a 15% tip
NEED HELP ASAP

Answers

The answer for this I believe would be m(x)+15%

solve 6x+3=27 step by step

Answers

Answer:

X = 4

Step-by-step explanation:

6x + 3 = 27

Subtract the 3 from 3 and 27, you end up with 6x = 24

Divide 24 with 6

You should end up with 4

X=4

I hope this helps you out!

harry purchased a 600$ savings bond if he has 1200 in total in the bank at the end of 10 years what was the simple interest rate

Answers

Answer:

R = 10%/year

Equation:

r = (1/t)(A/P - 1)

Solving our equation:

r = (1/10)((1200/600) - 1) = 0.1

r = 0.1

Converting r decimal to R a percentage

R = 0.1 * 100 = 10%/year

The interest rate required to get a total amount, principal plus interest, of $1,200.00 from simple interest on a principal of $600.00 over 10 years is 10% per year.

Step-by-step explanation:

so he has 600 $ saving then if he has 1,200 total in the bank


Select the correct answer.
You're given three angle measurements of 30°, 70°, and 80°.
How many triangles can you construct using these measurements?

A. 0
B. 1
C. 2
D. Infinitely many





Answers

The answer is C.2 that is the answer

Answer:

The answer is not 1 or 0

I think its D. infinitely many

Step-by-step explanation:

Jasmine launches a model rocket from a cliff. The rocket goes up 16.8 feet above the cliff, then it drops 28.1 feet into the ocean below.

Answers

Answer:

1. Positive, 2. negative, 3. 16.8-(-28.1), Final answer -44.9.

Step-by-step explanation

Tryna cheat off the I-ready diagnostics huh

Answer:

The answer to this question is that  1. Positive, 2. negative, 3. 16.8-(-28.1), Final answer -44.9.

Step-by-step explanation:

Good luck :)

Which pairs are like terms in the expression below? Select all that apply.
Žy + } x-0.25 – 6 +(-2)
Ay and { x
and 1
B. žy and
y and -0.2,
C.
1/3 x
and-0.27
D. -0.2y and 2
E. -6 and -2

Answers

Send a picture I don’t really understand

What's the difference between period and cycle in math?

Answers

Cycle is a concept of wave motion. It does not have units and dimensions, but the period is a scalar quantity.
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