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

Four out of six dogs weigh less than 50 pounds. What is the decimal equivalent for the number of dogs weighing under 50 pounds?

Answers

Answer:

0.667

Step-by-step explanation:

The vertices of a parallelogram ABCD are A(2,0) B(0,-3)C(3,-3) and D(5,0) if ABCD is reflected over the x-axis how many vertices will remain the same

Answers

Answer:  2 vertices

The two vertices in question are (2,0) and (5,0). These are points A and D. These two points are on the x axis, which is the line of reflection. Any point on a line of reflection does not move.

The points (0,-3) and (3,-3) are not on the line of reflection, so they do move and are reflected to another location. Refer to the diagram below.

Caroline works 18 hours a week at a restaurant and earns $8.25 per hour. She also earns tips, which are 15% of her food sales. In one week, she earned $263.25. Write an equation to find x, her total food sales for that week.

Answers

Answer:

X

Step-by-step explanation:

Answer:

14.28 and 6.75

Step-by-step explanation:

she earns 14.28 per hour and 6.75 each time.

f (x) =2x+10 identify the zeros of the function algebraically

Answers

Answer:

x= -5

Step-by-step explanation:

if youre looking for the x this is the answer.

NEED HELP ASAP YOU WILL GET BRAINLIST.

Answers

Answer:

1 -90 degrees

2-8in

3-16in

Step-by-step explanation:

1. 90 degrees

2. MB=8 inches

3. AC=16 inches

A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallon each second. A fish tank has 120 gallons of water and is being filled at a rate of 1/4 gallon each second. After how many seconds will the ywo fish tanks have the same amount of water?

Answers

Answer:

40! Seconds

Step-by-step explanation:

Calculation for After how many seconds will the two fish tanks have the same amount of water

First step

Based on the information given let the equation be :

150-1/2x=120+1/4x

Second step

Now let solve for x which means that x will be the number of second by multiplying both side by 4

4(150-1/2x)=4(120+1/4x)

=600-2x=480+x

Third step

Let Add 2x on both side

600=480+3x

Third step

Let Subtract 480 on both side

600-480=480-480+3x

120=3x

Last step is to divide both side by 3

120/3=3x/3

40=x

Hence:

x=40 seconds

Therefore After 40 seconds the two fish tanks will have the same amount of water.

Given that f ( x ) = x 2 − 6 x + 8 f(x)=x 2 −6x+8 and g ( x ) = x − 2 g(x)=x−2, find f ( x ) + g ( x ) f(x)+g(x) and express the result in standard form.

Answers

Answer:

Step-by-step explanation:

Your problem → f(x) = x^2 - 6x + 8,g(x) = x - 2,find f(x) + g(x)

f(x)=x^2-6x+8

g(x)=x-2

f(x)+g(x)=?

Now f(x)+g(x)

=(x^2-6x+8)+(x-2)

=x^2-6x+8+x-2

= x^2 - 6x + x + 8 -2

=x^2 -5x + 6

I can't change it to standard form but i hope this helps:)

25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for plane A. The table represents the relationship for plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed. Look at the photo.

Answers

Answer:

Step-by-step explanation:

For plane A,

Equation that represents the relationship between time 'x' and distance 'y' is,

y = 470x

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = slope = 470

b = 0

Here, slope represents the speed of plane A.

Therefore, speed of plane A = 470 mi per hour

For plane B,

From the given table,

Slope of the graph = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                = [tex]\frac{960-480}{2-1}[/tex]

                                = 480

Speed of plane B = 480 miles per hour

Since, speed of plane B is more than plane A,

Plane B is flying faster.

Which statement can be used to disprove the conjecture?

Conjecture: The square of any integer is positive.

Answers

Answer:

conjecture= the subject

Lala eats three times as many pancakes as her little sister Carmen. If Carmen eats m pancakes, how many pancakes does Lala eat?

Answers

Answer:21

Step-by-step explanation:1-63=90

Answer:

21

Hope this helps! :)

PLS help me
if you get it right i will give brainliest

Answers

Answer:

yes I think

(correct me if I'm wrong)

Answer : 34

Step-by-step explanation:

Solution,

Given,

base = 16

perpendicular = 30

hypotenuse = ?

Now,

By the formula of Pythagoras Theorem,

h^2 = p^2 + b^2

h^2 = 30^2+16^2

h^2 = 900+256

h = sqrt ( 1156 )

h = 34

Therefore, the value of x (hypotenuse) is 34.

Which expression is equivalent to 1/4 - 3/4x

Answers

Answer:

-3/4x + 1/4

Step-by-step explanation:

In which point of the graph is the water increasing?

Answers

Answer:

2

Step-by-step explanation:

1, the previous answer 2 is wrong because nothing is happening to the water during that period

The ration of child to teen to adult tickets sold at a water park on Saturday was 4:1:2. A total of 294 tickets were sold. How many child tickets were sold?

Answers

Answer:  168 child tickets were sold.

Step-by-step explanation:

Given: The ratio of child to teen to adult tickets sold at a water park on Saturday was 4:1:2.

Let the number of child tickets = 4x , teen tickets = x , adult tickets = 2x

Total tickets = x+4x+2x = 7x =294

[tex]\Rightarrow\ x=\dfrac{294}{7}\\\\\Rightarrow\ x=42[/tex]

Number of child tickets = 4(42) = 168

Hence, 168 child tickets were sold.

The daily supply of oxygen for a particular multicellular organism is provided by 625 square feet of lawn. A total of 8750 square feet of lawn would provide the daily supplies of oxygen for how many organisms

Answers

Answer:

multicellular organisms  = 14

Step-by-step explanation:

given data

multicellular organism = 625 sq feet

total = 8750 sq feet

solution

we will gethere

as we know that 1 multicellular organism  =  625 sq feet  

so

we get here  multicellular organisms that is

multicellular organisms = ( 8750 ×1 ) ÷ 625

multicellular organisms  = 14

there are 3 more games of cribbage being played than games of chess being played. how many of each game are being played. explain and show your reasoning

Answers

Answer:

Step-by-step explanation:

8 chess & 11 cribbage

anyone tryna help -10-3(7-x)

Answers

-10-3(7-x)=

answer: -31+3x  that's what he gave me I hope I have helped you.


Andie has a goal to complete 70% of the jumps on a skateboard course. If she has completed 30 jumps out of 50
total jumps, how many more jumps does Andie need to complete to reach her goal?

Answers

Answer:

50/100 X 70 = 35

Andie needs to do 5 more jumps.

Pls help due ASAP
Show workings pls

Answers

the answer is c
you (4,4) and another point need to be double (2,-5) so the other point needs to add to (4,-10) so 4 + 0 is 4 and 4 + - 14 = 10

HELP PLZZZ WILL GIVE BRAINLEAST

Answers

Answer:

b,c,d,f

Step-by-step explanation:

[tex]perimeter=2(3\sqrt{8} +4\sqrt{20} +2\sqrt{24} ) \\=2(3\sqrt{8} )+2(4\sqrt{20} +2\sqrt{24} ) \\=6\sqrt{8} +8\sqrt{20} +4\sqrt{24} \\=6.8^{\frac{1}{2} } +8.20^{\frac{1}{2} } +4.24^{\frac{1}{2} } \\or~ =12\sqrt{2} +16\sqrt{5} +8\sqrt{6} \\[/tex]

Which answer includes the intrevals that contain the solution to the inequality x^2-1/3x+9<0

Answers

Answer:

x<±1 and x< -3

Step-by-step explanation:

Given the inequality x^2-1/3x+9<0, we are to find the values of x that satisfies the inequality

x^2-1/3x+9<0

x^2-1/3x+9 (3x+9)²<0*  (3x+9)²

(x^2-1)(3x+9) < 0

x²-1 < 0 and 3x + 9 <0

x²-1 < 0

x²<1

x<±√1

x<±1

Also 3x + 9 <0

3x < -9

x < -9/3

x < -3

Hence the required values of x are x<±1 and x< -3

Solve for x. 85+5x-10=11x+3

Answers

The answer is x=12. I hope this helps you out

A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch. While the mathematical range is y ≤ 5.5, how does the reasonable range compare?

Answers

9514 1404 393

Answer:

  reasonable range: 0 ≤ y ≤ 5.5

Step-by-step explanation:

Unless the balloons are being launched from a building or the edge of a cliff, we generally expect f(x) ≥ 0. This limits the "reasonable range" to ...

  0 ≤ y ≤ 5.5

HELP ME PLEASE.......

Answers

Answer:

slope is 2.33

Step-by-step explanation:

What is the slope of the line through

(-8, 10) and (6, 10)?

Answers

Answer:

the slope is 0

Step-by-step explanation:

m=0

Answer:

0

Step-by-step explanation:

y2 - y1/ x2 - x1

10 - 10 = 0

6 - (-8) = 14

0/14 = 0

El 1% de las videocámaras vendidas por la Phil´s Photo Shop, tiene un defecto en su estuche. Se seleccionan al azar cuatro estuches de lo vendido recientemente. Encuentre la probabilidad de que exactamente uno esté defectuoso

Answers

9514 1404 393

Answer:

  3.88%

Step-by-step explanation:

The probability that 1 is defective and 3 are not (out of four) is ...

  P(1 of 4) = 4(0.01)(0.99)^3 ≈ 0.0388 = 3.88%

__

The multiplier of 4 comes from the number of ways that 1 can be chosen from 4.

write the expanded form of the expression y(0.5+7) please help me thanks!!!

Answers

Answer: y(0.5+7)

= 0.5y+7y

7.5y

Step-by-step explanation:

Who this also ?? Help please :)

Answers

Answer:

Step-by-step explanation:

b

b

lol

hope this helps <3

Answer:

in y=mx + b, b is the y intercept. Sp answer choice d.

The hospital has found that if a patient is being visited on average at least 8.4 times per day, they can give the same patient care with 3 less nurse visits per day. How many nurse visits per day can the hospital reduce for these 13 patients?

Answers

Answer:

6

Step-by-step explanation:

the number of patients that get visted 8.4 times is 1 and another 1 at 8.3 add those up and mutiply by the 3 less nurses visits you get 6

Number of nurse hours  the hospital can reduce is 6.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Number of patients visited on average at least 8.4 times per day = 2 patients

Now for each of the 2 patients the hospital can reduce 3 nurse visits.

Thus,

Number of nurse hours the hospital can reduce = 3 x 2

⇒ Number of nurse hours the hospital can reduce = 6 hours

Thus, Number of nurse hours  the hospital can reduce is 6.

To learn more about expressions :

brainly.com/question/11568837

#SPJ2

Martin is helping his mom set up for a school event. His mom put 150 cups into a box. There are 40 red cups, 60 blue cups, and
50 green cups in the box. He randomly picks 90 cups from the box and sets them out on tables.
How many blue cups is he likely to have set out on tables?

Answers

Answer:

C. 36

There are 150 cups total, and 60 blue cups

[tex]150/60=0.4[/tex]

Multiply that by the number of cups he picked up

[tex]0.4*90=36[/tex]

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