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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Answer:

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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:

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Step-by-step explanation:

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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

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

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Answer:

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Step-by-step explanation:

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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

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.

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!!!!

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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

Arrange the numbers in order from least to greatest.
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0,
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Answers

Answer:

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

Step-by-step explanation:

which is the right answer??????

Answers

Answer:

D.

Step-by-step explanation:

I'm 70% sure


A company's 2015 earnings were 20% greater than the previous year's earnings. In
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Part 1
Which expression will find the company's earnings for 2015?
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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:

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Answers

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m²-1= 7²-1= 49-1= 48

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Answers

Answer:

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Answer:

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Answer:

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Answers

Answer:

A

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Answer: D. -4/3

Step-by-step explanation:

-2/3 + -4/6

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Answers

Answer:

88m

Step-by-step explanation:

area = 6.16msq

πrsq=6.16

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22/7*rsq=616

rsq=616*7/22

rsq=4321/22

rsq=196

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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

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146 ft divided into 18 prices

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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

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Answers

Answer:

1. y-intercept = -7

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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

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y = mx + b

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5 = 8 + b

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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. :)

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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!

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Answers

Answer:

8%

Step-by-step explanation:

0.36/4.50=0.08=8%

The answer to your question is 8%

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Step-by-step explanation:

Answer:

***T O O T***

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Answers

Answer:

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Answer:

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

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Step-by-step explanation:

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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.

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Answer:

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