You drop a seashell into the ocean from a height of 40 feet. Write an equation that models the height h in feet) of the seashell above the water after seconds. How long is the seashell in the air? Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

t=1.58 seconds

Explanation:

The equation which models the height h of the seashell above water after t seconds

Answer 2

Height of seashell above water after t seconds; h = 40 - 8t²

Time that seashell is in air; t = 1.58 s

The sea shell is dropped under gravity and thus, from Newton's equations of motion, we know that height/distance is;

S = ut + ½gt²

Since it was dropped from a height and not the ground, then;

h = height of shell from ground

h_o = height from which the shell was dropped.

Thus, we have;

h - h_o = ut + ½gt²

We are told that the seashell was dropped into the ocean from a height of 40 ft. Thus;

h_o = 40 ft

It was dropped from rest and so; u = 0 ft/s

Acceleration due to gravity is; g = -32ft/s² (since it is free fall)

Thus;

h - 40 = 0(t) + ½(-32t²)

h = 40 - 8t²

The time that the seashell in the air will be after it has hit the surface which will be when h = 0.

Thus;

0 = 40 - 16t²

16t² = 40

t² = 40/16

t² = 2.5

t = √2.5

t = 1.58 s

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Related Questions

through: (-4,5), slope=-7/4

Answers

Answer:

[tex]y=-\frac{7}{4}x-2[/tex]

Step-by-step explanation:

There is enough information to create an equation in point - slope form.

[tex]y-y_1=m(x-x_1)[/tex]

We have a slope of -7/4 and the point of (-4,5).

[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-5=-\frac{7}{4}(x+4)}[/tex]

Convert to slope intercept:

[tex]y-5=-\frac{7}{4}(x+4)\\\\ y-5=-\frac{7}{4}x-7\\\\y-5+5=-\frac{7}{4}x-7+5\\\\\boxed{y=-\frac{7}{4}x-2}[/tex]

Hope this helps.

Evaluate 2√2/(√2-√3)

Answers

Answer:
4-2√6
Explanation:

What quadrant is point A located in?
A. Quadrant IV
B. Quadrant III
C. Quadrant I
D. Quadrant II
Someone pls help me ASAP

Answers

D, Quadrant II, hope this helps :)

In a right triangle, the hypotenuse has endpoints XY, shown on the graph.

On a coordinate plane, line X Y has points (negative 4, 2), (negative 1, negative 3).

If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6
Mark this and return

Answers

Answer:

5

Step-by-step explanation:

the temperature in Chicago is 38 digresses it is 40 colder in north Dakota what is the temperature in north Dakota

Answers

Answer:

It would -2 degrees in North Dakota.

Step-by-step explanation:

Subtract 40 from 38 to get to -2.

decimal equivalent 9 1/3

Answers

The decimal equivalent to 9 1/3 is

SBS: step multiply whole number 1:9 x 3=27 step add product 2: 27+1=28 step 3 divide: 28 ÷ 3= 9.333333

Final answer in decimal form: 9.33

Therefore, the answer is C

The equivalent from of [tex]9\frac{1}{3}[/tex]   ⇒ 9.

 

The given mixed fraction is,

[tex]9\frac{1}{3}[/tex]

Now to convert it into decimal form

First of all convert it into simple fraction

So numerator of [tex]9\frac{1}{3}[/tex] is  formed by  multiplying 3 with 9 then add 1

and denominator remains same as 3

Therefore,

Simple fraction be

[tex]9\frac{1}{3}[/tex]  ⇒ (9x3 + 1)/3

     = 28/3

Now divide 28 by 3

we get,

9.333333

Here,

It is non terminating number

And 3 is repeating after decimal

therefore,

The decimal form of [tex]9\frac{1}{3}[/tex] ⇒ 9.[tex]\frac{}{3}[/tex]

Learn more about the fraction visit:

https://brainly.com/question/5454147

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Write an exponential expression: choose a number between 0 and 10 to be the base and another number between 0 and 10, different from the base, to be the exponent. Label the base and the exponent. Then write the exponential expression in expanded form and standard form.

Answers

Answer:

In expanded form:

2^3 = 2 * 2 * 2 = 8

In standard form :

2^3

Step-by-step explanation:

Given the numbers in range (0 to 10)

Write an exponential expression :

Choosing from the range for the Base and the exponent

Base = 2

Exponent = 3

where ; 2 = base. ; 3 = exponent

In expanded form:

2^3 = 2 * 2 * 2 = 8

In standard form :

2^3

How do you make a fraction like this: 72 3/16 into a whole number?

Answers

What you do is you take the denominator and you divide it into the numerator.

Determine the height of the triangle if the area is 24 square inches and the base is 12 inches.

Answers

Answer:

4

Step-by-step explanation:

We use 1/2base times height to find the area and since we already have an area we just do 24= 6h then we divide 6 on both sides and height equals 4

Answer: 6 inches

Step 1: Subtract 12 because 12 iches is the base.

24 - 12 = 2

Step 2: Divide 12 by 2 because triangles have two equal sides.

12 ÷ 2 = 6

Answer = 6

4. What is the slope of the line y = 3? (1 point)

Answers

Answer: Undefined or 0

Step-by-step explanation: Y=3 means there would just be a straight line across on (0,3) and when the slope and rise is 0 it means there is no slope or it is undefined

Answer: 0

Explanation Since it's a straight line you can't determine the slope.

If f(x) = 7x + 9, what is the value of f(2)?​

Answers

Answer: f ^− 1 ( x ) = x /7+ 9/ 7

Step-by-step explanation:

Replace  f ( x )  with  y .

y = 7 x− 9

Interchange the variables.

x = 7 y − 9

solve for y

y = x/ 7 + 9 /7

Solve for  y  and replace with  f ^− 1 ( x ) .

f ^− 1 ( x ) = x /7+ 9/ 7

solve question please​

Answers

Answer:

12, 160, 380

Step-by-step explanation:

Answer:

all of them are perfect square numbers since they can all be divided by four.

Which number is the additive inverse of -5?
O -1/5
O 0
O 1/5
O 5

Answers

Answer:

5

Step-by-step explanation:

It's the opposite of the sign. So you just add a negative if positive and a positive if negative.

Ex.

-20 = 20

14 = -14

Which diagrams is not correct

Answers

Answer:

A

Step-by-step explanation:

Please help please help

Answers

Answer: 78x^6y^4

Solving Steps:

Find m 1 if m 2=47.6

Answers

Answer:

try 130.4, I got my answer by subtracting 47.6 with 180. How'd I get 180? the angles are obtuse so that means it'll add up to 180. Thus the answer is 130.4

Which is equal to 0.47?
CLEAR
SUBMIT
47
1,000
47
100
47
10
47

Answers

Answer: 47/100

Step-by-step explanation: 47/100 = 0.47.

How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.

ANSWER PLS
thank you so much!

Answers

beep and peeb and bee and pee

Answer:

6

Step-by-step explanation:

the one E doesn't count so 3! is 3*2*1 which is 6

PLZ MARK ME BRAINLIEST

what percent is 52.52 million of 142 million

Answers

Answer:

37%

Step-by-step explanation:

Given parameters:

Total number  = 142 million

Comparing number  = 52.52 million

Unknown:

What percent is the number  =?

Solution

The percentage;

           = [tex]\frac{comparing number }{total number } x 100[/tex]

          = [tex]\frac{52520000}{142000000}[/tex] x 100

          = 37%

Answer:

dwadwdwa

Step-by-step explanation:

Noah’s dog weighs 15 1⁄3 pounds (lbs). Aiden’s dog weighs three times as much as Noah’s. How many pounds does Aiden’s dog weigh?

Answers

Answer:  46 pounds

===============================================

Work Shown:

N = weight of Noah's dog = 15 & 1/3 pounds

A = weight of Aiden's dog = unknown

A = 3*N

A = 3*(15 & 1/3)

A = 3*(15 + 1/3)

A = 3*15 + 3*(1/3) .... distribute

A = 45 + 1

A = 46

Aiden's dog weighs 46 pounds.

MY 1st QUESTION, WILL GIVE BRAINILIST!

Scott's retirement party will cost $8 if he invites 4 guests. What is the maximum number of guests there can be if Scott can afford to spend a total of $14 on his retirement party? Solve using unit rates.

Answers

7, because 8/4 = 2 which means that 1 guest = $2. So if we do 14 / 2 to see how many guests that would be, it's 7.

Answer:

7

Step-by-step explanation:

Well if it's $8 for 4 people then you have to divide to get the rate:

$8/4 = [tex]\frac{2}{person}[/tex]

now you can divide the disired amount to get the number of people:

$14/ [tex]\frac{2}{person}[/tex] = 7 people

What is the formula for calculating slope? Explain it in full.

Answers

Answer:

Use slope formula

Step-by-step explanation:

To calculate the slope, you can use the slope formula which is the change in the height compared to the change in the width. Using ordered pairs, this is the change in the y-values divided by the change in the x-values or the rise divided by the run.

If m3 + m1 =230, find m6

Answers

Answer:

m6 is 65 degrees

Step-by-step explanation:

Since angle 3 and angle 1 are congruent, they are the same degree. The problem said that the sum of their angles is 230, so to find the individual angles of each, divide by two to get 115. Angle 3 and angle 6 add up to 180 degrees since they are adjacent to each other (that's an important rule you need to know). If angle 3 is 115 and you need to find angle 6, subtract 180 from 115 and you will get 65.

HELP PLEASE!!! Show how you got the answer as well!

Answers

Answer:

2 ans is 7 2x_4+2x_7=17

please help me!! :)​

Answers

Answer:

1/2

Step-by-step explanation:

hope this helps :o

Find 1/20 of 180 dollars

Answers

9, since 1/20 can be represented as 0.05, and 0.05 x 180 = 9


Hope it helps!

Answer:

9

Step-by-step explanation:

180÷20=9.

Could I please have BRAINLIEST?

Enter an equation to describe the linear relationship.


The temperature, y, of a pot of water is 35 °
F. The temperature increases by 20 °
F per minute, x, when being heated.


The equation is y =

Answers

The answer is y=35+20x. I hope this helps and please mark brainliest!


Answer:

x

Step-by-step explanation:

(6x + 9) - (4x + 6) I need help

Answers

6x+9-4x-6

2x+3

assuming you simplify, hope this helps!

The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.

Answers

Answer:

             aₙ = 8n + 27

Step-by-step explanation:

[tex]a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27[/tex]

Professor Florido is studying a new hybrid watermelon. She knows that a watermelon seed has probability 0.88 of germinating. She decides to plant 5 seeds. (a) What is the probability that exactly 2 seeds will germinate? ( Round to 4 decimals) (b) What is the probability that at most 3 seeds will germinate? ( Round to 4 decimals)

Answers

Plus cause I say it and we’d
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