Devin jumped off a cliff into the ocean in Acapulco while vacationing with his family. His height as a function of time could be modeled by the function h(t)= -16t square root 2 +16t +96, where T is the time in seconds and H is the time in feet. How many seconds until Devon hit the water? Around to the nearest tenth is necessary.

Answers

Answer 1

Answer:

3 seconds

Step-by-step explanation:

Given the height modelled by the function

h(t) = -16t² + 16t + 96

The hit the water at h(t) = 0

0 = -16t² + 16t + 96

Divide through b y -16

0 = t² - t - 6

t² - t - 6 = 0

t² - 3t+2t - 6 = 0

t(t-3)+2(t-3) = 0

t+ 2 = 0 and t - 3 = 0

t = -2 secs and t = 3secs

Since t can't be negative, hence;

t = 3 secs

hence it will take 3 seconds until Devon hit the water


Related Questions

Am I supposed to do 360-128??? Help pls

Answers

yes you are. you will be correct.

Answer:

71

Step-by-step explanation:

No you do 128 + 90= 218

then you do 360 - 218=142

142 divide by 2 = 71

will mark you brainly.​

Answers

Answer:

number 1 - 14 books

Answer:

I think it's 30......

Step-by-step explanation:

31-1=30 books..

The range is the highest number subtract the lowest number!!

Sorry if this doesn't help.

answer to this?
[tex]8 \div 2(3 + 7)[/tex]

Answers

Answer:

40

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

8 ÷ 2(3 + 7)

Step 2: Evaluate

(Parenthesis) Add:                       8 ÷ 2(10)Divide:                                          4(10)Multiply:                                        40

How do I graph y = −x+7?

Answers

the slop is -1 and the y-intercept is (0,7) so then go on the graph and plot a point on the y- axis line at 7. Then go right 7 units and down 7 units and that should be it :)

y=-x+7 (let x=7)

y=-7+7

y=0

(7,0)

y=-x+7 (let y=4)

x=3

(3,4)

then the graph will be passing through (7,0),(3,4)

Determine which letter best represents the expression divide 15 by B a. B divided by 15 b. 15 divided by be

Answers

Answer: 15/b

Step-by-step explanation:

The area of a rectangle is 84 inches. It has a length of x−2 and a width of x+3. What are the dimensions of the rectangle?

Answers

Call the width of the rectangle x. Call the length of the rectangle x + 2. The area of the rectangle would be the length times the width. We know this is 15 square inches. Set up the equation and solve for x.

(x +2)x = 15
x2 + 2x = 15
x2 + 2x - 15 = 0
Factor the quadratic equation:
(x - 3)(x + 5) = 0
x = 3 or x = -5
Since length can't be negative, discard the answer -5.
If x = 3, then the width is 3 and the length is x + 2 or 5. 5 x 3 = 15 which equals the area.

Answer:

8 inches by 13 inches

Step-by-step explanation:

Use the Distributive Property to solve the equation -7​(x+2​)=21

Answers

Answer:

i hope i'm not too late to give you an answer.

the answer is x=-5

hope this helps<3

i wish you the best of luck :)

pantown Practice & Protein 01/04/2021)
35 PS 9
Question Help
Think About the Process Karen purchased a DVD player on sale. The original selling price was
$175.90. The sale price was $150.75. What is the first step in finding the percent markdown? Find the
percent markdown

Answers

Answer:

It would be a 14% markdown. If needed more precise it'd be 14.29% round if you need.

what is the slope and equation of a line perpendicular to the x-axis passing through point (-4 3)​

Answers

Answer:

the slope of the line is undefined, and the equation is x = -4

Step-by-step explanation:

The slope of a vertical line is undefined .

What is slope with example?

The slope-intercept form of an equation is used to represent each time the equation of a line is stated as y = mx + b. M represents the line's slope. Additionally, b is the b in the y-intercepting point (0, b). For instance, the y-intercept is at (0, 7) and the slope is 3 in the equation y = 3x - 7.

given ,

          the point ( -4 , 3 )

                  x = -4 , y = 3

A line perpendicular to the x-axis is generally described by the equation x=a, where an is a real number. It is also known as a vertical line.

This line equation is x= -4 because you are seeking for a vertical line that goes through the point (x, y)=(-4 , 3) in your diagram.

in this question we are finding equation of line which is perpendicular to x - axis .

but for the equation of line we need to slope , that is not given in this question  .

The slope of a vertical line is undefined .

Learn more about slope-intercept form

brainly.com/question/9682526

#SPJ2

Can someone help me with this please hurry

Answers

Answer:

1 obtuse

2straight

3acute

4adjacent

5linear pair

6 50 degrees

7 82 degrees

There are 4 doctors working in a clinic. Each doctor has 2 nurses assisting them. There are two receptionists, Jay and Molly, working at the reception. 1 How many people are working in the clinic? I​

Answers

Answer:

14 people

Step-by-step explanation:

b) Write 1.74 x 10^4 as an ordinary number.

Answers

Answer:

17400

Step-by-step explanation: i might get this wrong but just do 1.74*10^4 and it should equal 17400

A ball is thrown from a point 6 metres above the ground. The graph shows the height of the bake above the ground in metres. Estimate the speed of the ball in m/s after 1 second. You must show working.

Answers

Answer:

1.38

Step-by-step explanation:

1.7-0.4=1.8

1.8/1.3=1.38

On graph place point at (1,8) and draw a triangle

The speed of the ball is 2 m/s.

What is Speed?

The speed of the object is calculated as,

Speed = Distance / Time

Given that;

A ball is thrown from a point 6 meters above the ground.

The graph shows the height of the bake above the ground in meters.

Now,

Draw the line perpendicular to both the x - axis and y - axis for 0 to 1 second.

So, we get;

Value of y - coordinate = 2 m

Value of x - coordinate = 1 m

Thus, Speed of the ball = Distance / Time

                                    = 2 / 1

                                    = 2 m/s

So, The speed of the ball is 2 m/s.

Learn more about the speed visit:

https://brainly.com/question/3004254

#SPJ2

Rico paid $180 sales tax on his new $2,400 motorcycle. What was the sales tax percentage rate where he bought his motorcycle?

7.0% tax rate
7.5% tax rate
8% tax rate
6.5% tax rate

Answers

Answer:

The answer is 7.5 tax rate

Step-by-step explanation:

I used a calculator to get the answer and it is correct.

log(x+4)-log(x-2)=1
step by step please!​

Answers

Answer:

x

=

7

9

.

Step-by-step explanation:

x

=

7

9

.

Explanation:

Remember the rules of logarithms:

log

a

log

b

=

log

(

a

b

)

. Using this, we get

log

x

log

(

x

+

7

)

=

1

log

(

x

x

+

7

)

=

1

Now we remember that

log

c

=

d

c

=

10

d

. Essentially what we're doing there is taking 10 to the power of both sides, and since

10

x

and

log

x

are inverse functions, they cancel off.

f

1

[

f

(

x

)

]

=

x

. So we get

log

(

x

x

+

7

)

=

1

(

10

log

(

x

x

+

7

)

=

10

1

)

x

x

+

7

=

10

1

x

=

x

+

7

10

10

x

=

x

+

7

9

x

=

7

x

=

7

9

So

x

=

7

/

9

is our answer.

Simplify 2(z+3)+4(z+2)

Answers

Answer:

i think it's 6z + 14

Step-by-step explanation:

Here's the answer:

=2z + 6 + 4z + 8

=6z + 14

HEKP PLEASE; what is movement competence ?
1 when we move in safe manner
2 when we move with confidence
3 when our movement is effective
4 all the above

Answers

Answer:

I think its maybe 2 you might want to check tho

I need some help. can someone help please.

Answers

A.

when you graph it that's the correct one.

a when graphing it will be correct

Can y’all help me Solve for q

Answers

Sorry I needed the points

can yall help and can you show work

Answers

Answer:

-12k+24 is the answer...

Step-by-step explanation:

-12k+24 is the answer...

-4(3k-6)-4k = -8k+24-4k

= -12k+24

RATA+RBTB=220, RA =10, RB =25, TA+TB =10

Answers

Sorry I don’t understand

Is 150% of 32 less than 100, greater than 100 but less than 150, or greater than 150?

Answers

Answer:

Here Is Your Answer 150% Is Greater Than 100 But Less Than 150

The figure below is a regular octagon with a side length of 8 inches.
8 inches
To the nearest square inch, what is the area of the figure?
309
118
64
49

Answers

Answer:

309in²

Step-by-step explanation:

Area of an octagon is expressed as;

A=2(1+√2)a²

a is the side length of the octagon

Given

a = 8

Substitute into the formula

A = 2(1+√2)(8)²

A = 2(1+√2)(64)

Expand

A = 2(64+64√2)

A = 128+128√2

A = 128+128(1.414)

A = 128+181.01

A = 309in²

Hence the area of the octagon is 309in²

Picture is above ^^^^^

Answers

Answer:

the first one

Step-by-step explanation:

Find the independent variable and dependent and write an equation (gr 9 hw) 1) To fix a car, Fix-it Auto charges a base fee of $20 plus $40 per hour. 2) The cost of a banquet at Jean's Banquet Hall is $450 for the rental of the hall and $15 per guest. 3) An author earns a royalty of $1.25 for each book sold. 4) Marie has $500 in her bank account. Each week she plans to deposit $20.

Answers

Answer:

Step-by-step explanation:

Using the regression equation :

y = mx + c

y = dependent variable ; x = independent variable ; m = slope ; c = intercept

1.) base fee = $20 ; hourly charge = $40

Hourly charge = independent

Total charge = dependent

Total charge = 40x + 20

x = Number of hours

2.) rental fee = $450; charge per guest = $15

Total rental fee = dependent

Independent = $15 = charge per guest

Number of guest = x

Total fee = 15x + 450

3.)

Royalty earned = dependent variable

Cost per book = $1.25 = independent

Royalty earned = $1.25 * number of books

4.)

Amount deposited per week = $20 = independent variable

Amount in account = dependent variable

y = 500 + 20x

x = number of weeks

. The length of a square board is (5x+3). Find the area of the board. Hint: Formula A=l*w

Answers

Answer:

64

Step-by-step explanation:

Answer:

A = 25x^2 + 30x + 9

Step-by-step explanation:

A = (5x+3) * (5x+3) or A = (5x+3)^2

A = 5x*5x + 5x*3 + 5x*3 + 3*3

A = 25x^2 + 15x + 15x + 9

A = 25x^2 + 30x + 9

how do i do
x^2 - 7x - 34 = 10
^ = power to
can u answer this now please its urgent i only got 2 mars how do i get the other 2 marks and the bottom bit of the question got me 2 marks thew top bit didnt get me anything

Answers

Answer:

x = 11 / x = - 4

Step-by-step explanation:

x² - 7x - 34 = 10

x² - 7x - 34 - 10 = 10 - 10

x² - 7x - 44 = 0

x² + 4x - 11x - 44 = 0

x (x + 4) - 11 ( x + 4) = 0

(x - 11)(x + 4) = 0

(x - 11) = 0 / (x + 4) = 0

x = 11 / x = - 4

Hope that helps! (If it doesn't, please tell me what you want me to answer or explain, or how I can improve the answer.) :)

A Group of drivers were looking at their debts. Mike is in $250.00 of debt. Sammy has $145.00 of debt. Guy has a positive bank balance of $300.00. Joe has a positive bank balance of $350.00. Who has the most money?

Answers

Answer:

Joe has the most money

Step-by-step explanation:

Mike has a balance of -250

Gammy has a balance of -145

Guy has a balance of +300

Joe has a balance of +350

A recipe for 24 cookies calls for 4 tablespoons of sugar. If you make 40 cookies and use 5 tablespoons, will the cookies taste the same? Explain

Answers

Answer:

Step-by-step explanation:

No, because they wouldn't contain the same amount of sugar per cookie  

for the first recipe - 24 cookies with 6 tablespoons  

thats 6/24 so 0.25 tablespoons of sugar per cookie  

for the second recipe - 36 cookies with 10 tablespoons  

thats 10/36 so 0.276 tablespoons per cookie  

the cookies in the second recipe would be slightly sweeter than the cookies in the first  

No because the ratio will be different.
The 24cookies per 4 sugar tbsps calls for 1 tbsp for every 6 cookies. This makes the ratio 6:1.
If u divide 40/5, you will get a ratio of 8:1. This means 1 tbsp of sugar in every 8 cookies. Making the cookies less sugary

What is the sum of 38 and (−16)? please help me if you are here thank you for at least reading my question :)

number
--------
number

Answers

Answer:

22

Step-by-step explanation:

38 - 16 = 22

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