12. Elmo is standing on a parade float tossing candy out to everyone. The candy is thrown with a starting velocity of 10

feet per second from a height of 3 feet modeled by the equation: h= -16t2 + 10t + 3

After how many seconds will the ball be 2 feet in the air?

a. 0.125

b. 0.5

c. 0.71

d. 0.625

Answers

Answer 1

Answer:

c. 0.71

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

The height of the candy after t seconds is given by the following equation:

[tex]h(t) = -16t^2 + 10t + 3[/tex]

After how many seconds will the ball be 2 feet in the air?

This is t for which [tex]h(t) = 2[/tex]

So

[tex]h(t) = -16t^2 + 10t + 3[/tex]

[tex]2 = -16t^2 + 10t + 3[/tex]

[tex]-16t^2 + 10t + 1 = 0[/tex]

So

[tex]a = -16, b = 10, c = 1[/tex]

[tex]\Delta = b^{2} - 4ac = 10^2 -4(-16)(1) = 164[/tex]

[tex]t_{1} = \frac{-10 + \sqrt{164}}{2*(-16)} = -0.09[/tex]

[tex]t_{2} = \frac{-10 - \sqrt{164}}{2*(-16)} = 0.71[/tex]

Since time is a positive measure, the answer is 0.71, which is option c.


Related Questions

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Answers

Answer:

n = 4.5

Step-by-step explanation:

10 - 5.5 = n

Answer:

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Answers

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Answer:

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Step-by-step explanation:

1. Bar graph.

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geometry

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Answers

Answer:

23 is the answer the J is acute but it has a vary so it is even smaller than 49 so it's like subtracting 26

Answer: j=27 degrees

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Hope this helped you!

Calculate the length of the unknown side of this right-angled triangle.
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Answers

Answer:

12.04

Step-by-step explanation:

Formula:

a² + b² = c²

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c = 12.04

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

A(n) = 1 + (n – 1)(–5.7)

Answers

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

1) -4.7
4) -1.7
10) 5.7
I’m sorry if I’m wrong

Please find the circumference, will give brainliest!

Answers

Answer:

43.96

Step-by-step explanation:

Which expression is equivalent to 6-8 x 65?

Answers

Answer:

12-16 X 130

Step-by-step explanation:

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ps.

If u get any other answers with a different one than mine it doesnt mean its incorrect because there are infinite equivalent answers for this expression

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Answer: you got the two right, the third is incorrect and the fourth is correct

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Answers

Answer:

53.76 cm³

Step-by-step explanation:

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The picture is quite blurry.  I think it's 4.8 at the base, but can't see for sure.

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In a right triangle, the hypotenuse has endpoints P(-3, 2) and Q(1, -3). ​

Answers

Answer:

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Is 8/15 greater than 4/5 ? and is 2/3 greater than 5/8 ?

Answers

Answer:

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A group of 20 students attempting a MathematicalChallenge have an average age of 11. When their teacher is included their average age is12. What is the age of the teacher?

Answers

Answer:

32.

1st get the total age of the students

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x=11x20

x =220 (total age of students)

add y ( teachers age) to the equation

(220 + y)/21=12

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Answer:

32

Step-by-step explanation:

20 * 11= 220

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helpppppppppppppppppp

Answers

Answer and Step-by-step explanation:

The independent variable is m, and the dependent variable is h.

This is because you can plug in any value for m, making m NOT have to depend on any other value to become m.

With h, it needs the result of m and its other values to become the result of h. H relies/depends on the values in the equation to become a value.

#teamtrees #PAW (Plant And Water)

Help I’m doing 8th grade work

Answers

Answer:

I think B by I'm not sure

Step-by-step explanation:

I'm not good with this subject

Factor:
n^4- 3n^2 + 2

*example: n^2-n-2 factored would be: (n-2)(n+1)*

Answers

Step-by-step explanation:

[tex]( \: n - 1) \times (n + 1) \times \: ( {n }^{ 2 - 2)} [/tex]

HEEEELP PLEASE 15 POINTS

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when imposter is sus⛔️

Answer:

Step-by-step explanation:

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6 ft = ____ yd

6 ft = 6 x 1 ft

= 6 x ____ yd

= ____ yd

Answers

Answer:

6 ft = 2 yd

6 ft = 6 x 1 ft

= 6 x 2 yd

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4. A square has a perimeter of 28 units, an
ared of 49 units, and sides that are either
horizontal or vertical. The vertices are all
located in the same quadrant where the x
value is negative. What are the possible
coordinates of the square?

Answers

Answer:

7

Step-by-step explanation:

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There is a theory that children wearing superhero costumes are more likely to harm themselves because of the unrealistic impressions of invincibility that these costumes could create. Below there is data about the severity of injury (on a scale from 0, no injury, to 100, death) for children reporting to the emergency center at hospitals and information on which superhero costumes they were wearing (Spiderman, Superman, Batman).


Spiderman Superman Batman
55 68 26
31 32 47
58 85 30
20 69 35
47 58 53
37 52 43

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b. Sample size (n) for each group
c. Standard Deviation
d. Square root of n
e. Standard error of the mean (SEM)

Answers

Answer:

[tex]Mean = 47[/tex]

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[tex]\sqrt n = 2.45[/tex]

[tex]SEM = 11.55[/tex]

Step-by-step explanation:

Given: The above data

Solving (a): Mean of each group

Mean is calculated as:

[tex]Mean = \frac{\sum x}{N}[/tex]

[tex]Mean = \frac{55 + 31 + 58 + 20 + 47 + 37+68 + 32 + 85 + 69 +58 + 52+26 + 47 + 30 +35 + 53 + 43}{18}[/tex]

[tex]Mean = \frac{846}{18}[/tex]

[tex]Mean = 47[/tex]

Solving (b): The sample size of each group

This is the number of rows in each group.

Hence:

[tex]n = 6[/tex]

Solving (c): Standard deviation (s)

This is calculated as:

[tex]s = \sqrt{\frac{\sum (x - \bar x)^2}{N}}[/tex]

So, we have:

[tex]s= \sqrt{\frac{(55 - 47)^2 + (31 - 47)^2 +......... + (43 - 47)^2}{18}}[/tex]

[tex]s= \sqrt{\frac{4936}{18}}[/tex]

[tex]s= \sqrt{274.22}[/tex]

[tex]s= 16.56[/tex]

Solving (d): Square root of n

[tex]\sqrt n = \sqrt 6[/tex]

[tex]\sqrt n = 2.45[/tex]

Solving (e): SEM

This is calculated as:

[tex]SEM = \frac{s}{\sqrt N}[/tex]

[tex]SEM = \frac{47}{\sqrt{16.56}}[/tex]

[tex]SEM = \frac{47}{4.07}[/tex]

[tex]SEM = 11.55[/tex]

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Answers

Answer:

the answer is I LIKE YOUR CUT G

Step-by-step explanation:

your a bot at fortnite

Answer:

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Answers

Answer:

Angus has more apples.

Step-by-step explanation:

The apples are measured in pounds for both Angus and Justin. Angus has 5 pounds of apples, and Justin has 3 pounds of apples. 5 is greater than 3, so Angus has more apples.

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Elise pays $12 000, Raine pays $6000 and Avery pays the rest.
Six years later they sell the boat for $25 300.
They share the money in the same ration that they bought the boat.
How much money does Avery lose on the sale of the boat?

Answers

Amount Avery paid: 32,000-12,000-6,000 = 15,000

Divide portion she paid by total cost:

15,000/33,000

Simplify to 15/33

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25,300 x 15/33 = 11,500

Subtract the amount she got from the amount she paid:

15,000 - 11,500 = 3,500

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Answer:

yes

Step-by-step explanation:

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Answers

Answer:

19/20

Step-by-step explanation:

write all numerators above the least common denominator 20

15+4/20

add the numbers

19/20

Answer: 19/20

Step-by-step explanation:

Find your common denominator

3/4

Multiply by 5

15/20

1/5

Multiply by 4

4/20 + 15/20= 19/20

Hope this helped :)

plz help I need help on math plz help the first one get bainys its actually for my lis sis


here is my picture

Answers

Answer:

Step-by-step explanation:

1. $5

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3. 25 cents

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just subtract them

the image of (-9,-4) after a reflection over the y-axis?

Answers

Answer:

The answer is (-4,9)

Step-by-step explanation:

When you reflect across y=-x the x and y coordinates switch places and change signs.

Mason spends $24 on hot dogs and buns for his graduation picnic. Hot dogs cost $3 per pack and buns cost $2 per packGraph the equation that models this situation, given that represents packs of hot dogs and y represents packs of buns

Answers

Answer: i don’t know

Step-by-step explanation: because I don’t know

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