For the vertical motion model h(t) = -16t2 + 54t + 3, identify the maximum height reached by an object and the amount of time the object is in the air before it hits the ground. Round to the nearest tenth.

Answers

Answer 1

Answer:

height: 48.6 fttime in air: 3.4 s

Step-by-step explanation:

A graphing calculator provides a nice answer for these questions. It shows the maximum height is 48.6 feet, and the time in air is 3.4 seconds.

The equation can be rewritten to vertex form to find the maximum height.

h(t) = -16(t^2 -54/16t) +3 . . . . . group t-terms

h(t) = -16(t^2 -54/16t +(27/16)^2) + 3 + 27^2/16

h(t) = -16(t -27/16)^2 +48 9/16

The maximum height is 48 9/16 feet, about 48.6 feet.

The air time is found at the value of t that makes h(t) = 0.

0 = -16(t -27/16)^2 +48 9/16

(-48 9/16)/(-16) = (t -27/16)^2 . . . . . . . subtract 48 9/16 and divide by -16

(√777 +27)/16 = t ≈ 3.4297 . . . . . square root and add 27/16

The time in air is about 3.4 seconds.

For The Vertical Motion Model H(t) = -16t2 + 54t + 3, Identify The Maximum Height Reached By An Object

Related Questions

Select the correct type of solution set for the system

Answers

Answer:

no solution

Step-by-step explanation:

No solution is your answer

In ARST, r = 52 cm, s = 55 cm and ZT=48°. Find the length of t, to the nearest
centimeter.

Answers

9514 1404 393

Answer:

44 cm

Step-by-step explanation:

The law of cosines is applicable.

t^2 = r^2 + s^2 -2rs·cos(T)

t^2 = 52^2 +55^2 -2·52·55·cos(48°) ≈ 1901.57

t ≈ √1901.57 ≈ 43.607

The length of t is about 44 cm.

Hey there!

[tex]\dagger \: \sf\red{Question:}[/tex]

In ARST, r = 52cm, s = 55cm and ZT = 48°. Find the length of T, to the nearest centimeter.

[tex]\dagger \: \sf\blue{Solution:}[/tex]

By the law of cosines,

[tex]{\underline{\boxed{\frak{\pmb{\quad {t}^{2} = {r}^{2} + {s}^{2} - 2rs \times cos(T) }}}}} [/tex]

[tex]\implies\tt[/tex] t² = (52)² + (55)² - 2 × 52 × 55 × cos(48°)

[tex]\implies\tt[/tex] t² ≈ 1901.57

[tex]\implies\tt[/tex] t² = √1901.57

[tex]\implies\tt[/tex] t² = 43.607

[tex]\implies\tt[/tex]t = 44 cm

Therefore;

The length of t is 44 cm.

Is 12/15 greater than 1

Answers

Answer: well no I dont think so because it’s not a whole. it would be 12/12 I believe.

Step-by-step explanation:

Find the number of real-number solutions of the equation.
x2 + 10 = 2

A. two solutions
B. one solution
C. no solutions
D. infinitely many solutions

Answers

Answer: A

Step-by-step explanation:

Take the root of both sides and solve.

Answer:

Step-by-step explanation:

It just is

Will the value of y ever equal 0 y=3^x

Answers

No x- intercept/ zero/ 0

Graph the lines for the two sets of linear
data. Find the intersection of the lines.
5.
х y х у
-2 0 -2 -1.5
0 1
-3.5
2 2 2 -5.5
4 3 4 -7.5

Answers

Answer:

4cm.

Step-by-step explanation:

Because,

Given two triangles are similar.

Ratio of their sides...

24/8 = 4

Therefore,

Side YX is corresponding to side NM.

Therefore, 12/YX = 4

YX = 4cm.

When adding and subtracting fractions, what MUST be the same before you even begin to add or subtract?

Numerators

Denominators

Fractions

Whole Numbers

Answers

Answer:

Denominators

Step-by-step explanation:

When it comes to adding or subtracting fractions, the denominators must be ALWAYS the same.

Answer:

Denominator

Step-by-step explanation:

All operations involving addition and subtraction of fractions must be under the same denominator before solving the problem.

[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• 2.5 below sea level

Answers

Answer:

Step-by-step explanation:

uh anymore info??

Answer:

negative 2.5

Step-by-step explanation:

It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.

On a field trip there are 30 kids and 6 adults. Which of the following is a correct way to represent the ratio of these two quantities?
A) 5 kids per 1 adult
B)15 kids per 4 adults
C)1 adult per 5 kids
D)2 adults per 10 kids
This is for a TEST so can u show the work

Answers

A) 5 kids per 1 adult

For the given right triangle, find the value x to the nearest tenth:

Answers

92.3

Hope this helps!!!

1. Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year
Use an exponential function to find the annual sales after 7 years.

Answers

Answer:

The value after 7 years is $ 855355.65

Solution:

Given that, Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year

To find: exponential function to find the annual sales after 7 years

The exponential growth function is given as:

Where,

"a" is the initial amount

"y" is the future value

"r" is the rate of interest in decimal

"t" is the number of years

Here in this given question,

a = 650000

t = 7 years

Substituting the values in given formula,

Thus the value after 7 years is $ 855355.65

Step-by-step explanation:

What is the measure of m

Answers

117 degrees

The angles in a trapezoid add up to 360 degrees. 63 x 2 = 126

360 - 126 = 234

234/2 = 117

I need help which one is it?

Answers

Answer: The first one explanation:

Please help I really do not understand its turned in today. I WILL GIVE BRAINLIEST :)

Answers

Answer:

Total area of new carpeting installed: 368

Step-by-step explanation:

What I did is too complicated to write down, so I'll just show you the math:

(12 * 8) * 2 (The area of the bedrooms)

11 * 16 (The area of the livingroom)

is Rolling a 4 with one number cube and a 6 with another independent or dependent

Answers

Answer:

it would be independent

Step-by-step explanation:

because the number and the coube are different so they're independent variables

Mr. Gutierrez and his brother like to play video games. They want to purchase a game console that is $300, 4 games and 2 controllers. Write an expression to represent this situation.

Answers

Answer:

[tex]2x+y=150[/tex]

Step-by-step explanation:

Number of games = 4

Number of controllers = 2

Mr. Gutierrez and his brother want to purchase a game console that is $300.

Let [tex]x[/tex] denotes number of games and [tex]y[/tex] denotes number of controllers.

[tex]4x+2y=300[/tex]

Divide this equation by [tex]2[/tex]

[tex]2x+y=150[/tex]

So, the expression to represent the situation is [tex]2x+y=150[/tex]

What is the solution of the system ? Use substitution y=2x+7 y=x-1

Answers

(-8,-9)

Explanation:

y=2x+7 ; y=x-1

x-1=2x+7

x-1-7=2x+7-7

x-8=2x

x-x-8=2x-x

x=-8

y=x-1

y=-8-1

y=-9

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A line segment ACD is shown with triangle ABC drawn so that AC is the base of the triangle. Angle BAC is labeled with 72 degree sign, and angle BCD is labeled with 113 degree sign. Write a list of steps that are needed to find the measure of ∠ B .

Answers

Answer:

32 A becuz ur h a y and u are smart

HELP PLEASE!!! ILL GIVE BRAINLIEST if I can figure it out ... I'm not in highschool btw I'm in 6th

Write a number less than 50 that has at least six factors.

List at least six factors of the number you choose.

Answers

Answer:

Factors : 1,2,3,4,6,12

Answer:

the number can be 12.

1 x 12 = 12

2 x 6 = 12

3 x 4 = 12

What is the solution to the system of equations?
y = 2/3x +3
x= -2

Answers

Answer:

y=3 x=8

Step-by-step explanation:

I THINK BUT HOPE THIS MAYBE HELPS :)

The wholesale price of a special speaker was $64. It was then marked up 85% and sold online. What was the online price?

Answers

$118.4 because 64 • 0.85 = 54.4, 64+ 54.4 = 118.4

im really confused i hope this doesnt take to much time please help it would me so much to me.

Answers

Yes it is A I got it right

Divide £90 in the ratio 4:1

Answers

Answer:80:10

Step-by-step explanation:

1=20 4=80

can someone help please?

Answers

x=54 is the final answer

Answer:

x = 54

Step-by-step explanation:

In this line, I am going to assume lines l and m are parallel.

Each flat surface is half of a circle, therefore it has 180 degrees. We are given one side and told to find the other.

180 - 116 = 64.

The other angle's total value must be 64.

Now, to solve for x, subtract 10 from 64 [inverse operations].

64-10=54

The value of x in this equation is 54 degrees.

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For the vertical motion model h(t) = -16t2 + 54t + 3, identify the maximum height reached by an object and the amount of time the object is in the air before it hits the ground. Round to the nearest tenth.​

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For the vertical motion model h(t) = -16t2 + 54t + 3, identify the maximum height reached by an object and the amount of time the object is in the air before it hits the ground. Round to the nearest tenth.