The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equation

h = -16t2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.

t 0.87 s

t 4 s

t = 8.5 s

t = 16 s

Answers

Answer 1

Answer:

B on edge 2022

Explanation:

Picture:

The Height H (in Feet) Of An Object T Seconds After It Is Dropped Can Be Modeled By The Quadratic Equationh
Answer 2

The time it takes the rock to reach the canyon floor is 8.5 seconds.

Option C is the correct answer.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Using the quadratic formula.

t = (-b ± √(b² - 4ac)) / 2a

where a = -16, b = 0, and c = 255.

Now,

Plugging in the values.

t = (-0 ± √(0² - 4(-16)(255))) / 2(-16)

t = (± √(16320)) / (-32)

t = (± 128) / (-32)

So,

The solutions for t.

t = 4 seconds (taking the negative solution)

t = 8.5 seconds (taking the positive solution)

We can eliminate t = 0.87 seconds and t = 16 seconds as they are not solutions to the equation.

Therefore,

The time it takes the rock to reach the canyon floor is 8.5 seconds.

Learn more about equations here:

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Related Questions

Nicole is making 1,000 bows for people who donate to the library book sale. She needs a piece of ribbon that is 0.45meter long for each bow. How many meters of ribbon does Nicole need to make the bows?​

Answers

Answer:

450 Ribbons

Step-by-step explanation:

multiply the length of 1 ribbon by how many she needs to make. we get, 0.45m x 1000bows

that's 450m ribbon.

plz mark this as brainliest and I hope I helped :)

Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left corner measures 80°.

A parallelogram is shown. The top left angle is x degrees and the bottom left angle is 80 degrees.



What is the value of x?

40
50
100
160

Answers

Answer:

X=100

Step-by-step explanation

you gotta get to 180 so add that hunid

The value of x in the parallelogram described is: C. 100°

How do You Find Angles of a Parallelogram?

In a parallelogram, opposite angles are congruent, adjacent or consecutive angles are supplementary.

x degrees and 80 degrees are consecutive angles in the parallelogram described.

Therefore:

x + 80 = 180

x = 180 - 80

x = 100°

Therefore, the value of x in the parallelogram described is: C. 100°

Learn more about parallelogram on:

https://brainly.com/question/23173716

Use the tape diagram to write an equivalent ratio in simplest form. Write your ratio using a colon and no spaces.

Answers

Answer:

4:3

Step-by-step explanation:

There are 8 yellow spots and 6 blue spots

8:6

We can divide each side by 2 since they are both even

8/2: 6/2

4:3

Answer:

4:3

Step-by-step explanation:

Find the measure of

Answers

Answer:

of what?

Step-by-step explanation:

if you could send a picture Thad be great

What is the sum of -2/3 and -4/6?
A. -4/3
B. -2/3
C. 2/3
D. 4/3

Answers

Answer:

A

Step-by-step explanation:

-2/3 = -4/6, -4/6 + -4/6 = -8/6 = -4/3

Answer: D. -4/3

Step-by-step explanation:

-2/3 + -4/6

make the denominators the same

so -2 * 2 and 3 * 2 = -4/6

-4/6 + -4/6 = -8/6 = -4/3

Please help me this is due tomorrow

Answers

Answer:

9

Step-by-step explanation:

I put D but I am not sure if that is the valid answer. Any help?

Answers

Answer: B) ASA

Explanation:

AB || DC means we know that angle ABD = angle CDB. They are alternate interior angles. This is shown as the red angle markers in the diagram below.

Similarly, AD || BC leads to angle DBC = angle BDA. They are also alternate interior angles and they are marked in green in the diagram below.

So far we have two pairs of congruent angles.

The pair of congruent sides is BD = BD by the reflexive property. Any segment is congruent to itself.

So we can use ASA to prove the triangles congruent. Note the segment BD is between the angles mentioned.

2. Carlo, a school varsity player, has 32 table tennis ball and 16 table
tennis paddles. He wants to sell packages of balls and paddles
together. What is the greatest number of packages he can sell with
no leftover balls or paddles?​

Answers

Answer:

balls

Step-by-step explanation:

lol hahahahahahahahhahahahahahhahahahahahahahahhahah

Answer:

two balls for every one paddle

Step-by-step explanation:

Make it into slope-intercept form

Answers

Answer:

y=1/2x-1

Step-by-step explanation:

y=mx+b where m equals the slope and b equals the y-intercept. Hope this helps!

cos 60 degrees=1/2 and sin 60 degrees = square root 3/2 true or false

Answers

Answer:

cos 60 degrees=1/2 and sin 60 degrees = square root 3/2

The answer it's true.

vertical asymptote of f(x) = 3x-18 over 2x + 1

Answers

Answer:

We know that the formula to get the equation of a rational function is:

y = a * (factors of x intercepts) / (factor of vertical asymptote)

We are given the equation:

y = (3x - 18) / (2x + 1)

from the formula, we know that the value in the denominator is the factor of the vertical asymptote

So, we can write that:

2x + 1 = 0              [where x is the vertical asymptote]

x = -1/2

Therefore, the vertical asymptote of the given equation is -1/2


A company's 2015 earnings were 20% greater than the previous year's earnings. In
2014, the company earned $800,000.
Part 1
Which expression will find the company's earnings for 2015?
OA
800,000(0.20)
OB.
800,000(1 + 0.20)
O C.
800,000 + 0.20
OD
800,000(800,000 + 0.20)

Answers

Answer:

B

Step-by-step explanation:

since there is going to be an increase you will increase 800,000 using the ratio 120:100 which is choice B



Matt and Chris leave their uncle's house in Phoenix at the same time, Matt drives west on 1-60 at a speed of 79 miles per hour. Chris drives east on 1-60 at a speed of 83 miles per hour.

How many hours will it take them to be 64 miles apart


Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels five miles per hour. The

southbound boat goes seven miles per hour How many hours will it take them to be 66 miles apart?

he

Addit

Answers

Answer:

It will take them (Matt and Chris) 0.395 hours to be 64 miles apart

It will take 5.5 hours for the boats to be 66 miles apart

Step-by-step explanation:

We are to determine the time when Matt and Chris will be 64 miles apart, that is, when the total distance traveled by both of them will be 64 miles.

Let the time be t and

Let the distance covered by Matt be S₁ and the distance covered by Chris be S₂.

For Matt,

From the question, Matt drives at a speed of 79 miles per hour

From the formula

Distance = Speed × Time

S = v × t

∴ S₁ = 79×t

S₁ = 79t

For Chris,

From the question, Chris drives at a speed of 83 miles per hour

Using the same formula,

∴ S₂ = 83 × t

S₂ = 83t

To determine when they will be 64 miles apart, that is when S₁ + S₂ = 64 miles.

Hence,

S₁ + S₂ = 79t + 83t

∴64 = 79t + 83t

64 = 162t

t = 64/162

t = 0.395 hours

Hence, it will take them 0.395 hours to be 64 miles apart.

For the boats,

To determine how many hours it will take them to be 66 miles apart, that is when the total distance traveled by the two boats will be 66 miles.

Let the time be t and

Let the distance traveled by the northbound boat be S₁ and the distance traveled by the southbound both be S₂.

From the question,

The northbound boat travels five miles per hour

From the formula

Velocity = Distance / Time

Then, Distance = Velocity × Time

That is, S = v × t

Hence, for the northbound boat,

S = S₁

v = 5 miles per hour

∴ S₁ = 5t

Also from the question,

The  southbound boat goes seven miles per hour

Hence, for the southbound boat

S = S₂

v = 7 miles per hour

∴ S₂ = 7t

To determine when the boats will be 66 miles apart, that is when S₁ + S₂ = 66 miles

Then,

S₁ + S₂ = 5t + 7t

Hence,

66 = 5t + 7t

66 = 12t

t = 66/12

t = 5.5 hours

Hence, it will take 5.5 hours for the boats to be 66 miles apart.

Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?

Answers

Answer:

8 ft of yarn

Step-by-step explanation:

146/18= 8.111

Round that number down to 8 to make all students get equal amounts of yarn

Answer:

8.11 ft

Step-by-step explanation:

146 ft divided into 18 prices

146 ÷ 18 = 8.11 ft for each student.

Help with part c please!

Answers

Answer:

the answer is x-16

I hope it will help

Answer:

I think the answer is 8², I just multiplied it by it’s self(squared)

I’ve never helped someone on functions before, this one seemed comprehend able

Step-by-step explanation:

Please give me brainliest

write a Pythagorean triplet whose smallest value is 14​

Answers

Here is one: (14, 48, 50)

Formula=(2m)²,(m²-1)².(m²+1)²

according to ques
smallest number =14
means 2m =14
m=14/2=7

m²-1= 7²-1= 49-1= 48

m²+1=7²+1= 49+1=50

hence the required triplet is 14, 48 and 50

When 5(2x+3)-(x+4) simplified is?

Answers

Answer:

9x + 11

Step-by-step explanation:

5(2x+3)-(x+4)

10x+15-x-4        Use distributive property

10x-x +15-4       Combine like terms

9x + 11

Hope this helps!

which is the right answer??????

Answers

Answer:

D.

Step-by-step explanation:

I'm 70% sure

CAN I GET A MC PICK TOTOROTOTOTOOTOTOTOTOTOTOTOTOTOTOOOOOOOOO

Answers

Answer:THXXXXXXXSSSSS FOR THE POINTS

Step-by-step explanation:

Answer:

***T O O T***

Help! Thank you in advance!

Answers

Answer:

option 3

both (3, 2) and (2, -1) are solutions

Answer:

C

Step-by-step explanation:

-3x + y = -7

use (3, 2) as plug ins for x and y

-3x + y = -7 (rewrite)

-3 x 3 + 2 = -7 (solve)

-3 x 3 = -9

-9 + 2 = -7

same with the other numbers (2, -1)

but i'm lazy

Which shows the best estimate of the quotient of 4,346 +82?
between 50 and 60
between 60 and 70
between 500 and 600
between 600 and 700

Answers

Answer:

between 500 to 600 because I like

Someone please help thank you ! With full answers

Answers

Height is V/pi*r²..............

Answer:

[tex]A) h=\frac{V}{\pi r^2}[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h\\h=\frac{V}{\pi r^2}[/tex]

I need serious help please!

Equation of a line: given that m equals 5 and P(2,3), find the y-intercept (b), and write the equation of the line in slope intercept form

Equation of a line: given that m equals -2 and P(-4,5), find the y-intercept (b), and right equation of the line and slope intercept form

Giving P(3, -5) and Q(6,3). Find the slope of the line passing through the two points

Answers

Answer:

1. y-intercept = -7

equation: y = 5x - 7

2. y-intercept = -3

equation: y = -2x - 3

3. slope = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

slope-intercept form: y = mx + b

slope formula: [tex]\frac{y2 - y1}{x2 - x1}[/tex]

To write an equation in slope-intercept form, you need to know the slope(m) and the y-intercept(b).

1. Given: m = 5, P(2, 3). To find the y-intercept, input the given values of m and the point into the equation format and solve for b:

y = mx + b

3 = 5(2) + b

3 = 10 + b

-7 = b

The y-intercept is -7.

Now that we know the slope and the y-intercept, we can write the equation:

y = 5x - 7

2. Given: m = -2, P(-4, 5). To find the y-intercept, input the given values of m and the point into the equation and solve for b:

y = mx + b

5 = -2(-4) + b

5 = 8 + b

-3 = b

The y-intercept is -3.

Now that we know the slope and the y-intercept, we can write the equation:

y = -2x - 3

3. Given: P(3, -5), Q(6, 3). To find the slope, input the given points into the slope formula:

(3, -5) = (x1, y1)

(6, 3) = (x2, y2)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{3-(-5)}{6-3}[/tex]

Simplify:

3 - (-5) = 3 + 5 = 8

6 - 3 = 3

[tex]\frac{8}{3}[/tex]

The slope of the line passing through points P and Q is [tex]\frac{8}{3}[/tex].

I hope this helps. :)

Here is five number cards

Answers

Answer:

Thank you

Step-by-step explanation:

Arrange the numbers in order from least to greatest.
1/2, -5,
0.56,
0,
12%
Least to greatest

Answers

Answer:

-5,0,0.56,12%,1/2

Step-by-step explanation:

A notebook costs $4.50 plus sales tax . After sales tax , the notebook is $4.86. What is the sales tax rate?

Answers

Answer:

8%

Step-by-step explanation:

0.36/4.50=0.08=8%

The answer to your question is 8%

Someone please explain to me how I go about to find this answer. My daughter is having trouble and her algebra 1 teacher ia no help!!!!

Answers

Answer:

3/4

Step-by-step explanation:

do you need a deep explanation? or just a quick one?

Answer: the slope is 4/3

Explanation :

1) pick 2 points on the graph. I picked ( 30, 20) and (60,60)

2) to find m, we do rise over run. Y is the rise and x is the run.

3) subtract the y exponents from eachother over the x exponents.

4) Do this : 60-20/ 60-30 . After solving, you should get 4/3.

5) good luck

find the radii of a circle 6.16ha

Answers

Answer:

88m

Step-by-step explanation:

area = 6.16msq

πrsq=6.16

22/7*rsq=6.16/100

22/7*rsq=616

rsq=616*7/22

rsq=4321/22

rsq=196

r=√196

r=14m

diameter=14*2=28m

radius=14m

circumfrence=2πr

=2*22/7*14

=44*2

=88m

If a freight train travels at a speed of 20 miles per hour for 6 hours, how far will it travel? A 120 miles B 80 miles C 26 miles D 12 miles​

Answers

Answer: The answer is A

Step-by-step explanation: Because 6*20= 120

Find answer to picture problem

Answers

Answer:

Can you add the picture please???

Step-by-step explanation:

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