A pilot of a helicopter plans to release a bucket of water on a forest fire. The height y in feet of water t seconds after its release is modeled by y = − 16 t 2 − 2 t + 400 . How long will it take for the water to reach the ground? Round to one number after the decimal point.

Answers

Answer 1

Answer:

4.93 seconds

Step-by-step explanation:

The height y in feet of water t seconds after its release is given by the equation as follows :

[tex]y=-16t^2-2t+400[/tex]

We need to find the taken taken for the water to reach the ground. When it reach the ground, y will be equal to 0. So,

[tex]-16t^2-2t+400=0[/tex]

Above is a quadratic equation whose solutions can be calculated as follows :

[tex]t=\dfrac{-(-2)\pm \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}\\\\t=\dfrac{-(-2)+ \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}, \dfrac{-(-2)- \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}\\\\t=-5.062\ s\ \text{and}\ 4.93\ s[/tex]

Neglecting negative value.

Hence, it will take 4.93 seconds for the water to reach the ground


Related Questions


[tex] \sqrt{147} - \sqrt{75} + \sqrt{27} [/tex]

Answers

I am not smart at math I have no idea

Given the following function, find f(-1), f(0), and f(5).

f(x)=x2-4

f(-1) =
f(0)=
f(5)=

Answers

Answer:

-6, -4, 6

Step-by-step explanation:

1.) f(-1)= (-1)2 - 4

= -2-4

= -6

2.) f(0)=(0)2-4

= -4

3.) f(5)= (5)2 -4

=10-4

6

The vertex of this parabola is at (-1,-3). Which of the following could be its equation?
61,-3)
A. x=-2(y + 1)2-3
B. x=-2(y-1)2-3
C. x= -2(y + 3)2-1
D. x = -2(y-3)2-1

Answers

Answer:

            NONE

The vertex form of an equation of the parabola with vertex (-1,-3) is:

            y = a(x + 1)² - 3

where a  could be any number, also -2,

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                        y = a(x - h)² + k

vertex is (-1, -3)  so  h = -1,  k = -3

so:

   y = a(x - (-1))² + (-3)

   y = a(x + 1)² - 3

What is 60 tens in standard form answers are 60,000 69 600 6,000

Answers

Answer:

I think it's 696,000

Explanation:

I can't be sure but is this a troll question... if so that great. :D

Please mark brainliest UwU

can someone help me with the math on my page i will mark them brainliest pls

Answers

Answer:

Step-by-step explanation:

ok

Order the numbers from least to greatest

Answers

Answer:

1.4, 2, √7

Step-by-step explanation:

√7 = 2.65 (rounded to nearest hundredth)

1.4 is the smallest

2 is next

√7 is the biggest

Hope I helped :)

Please consider Brainliest :)

How many unit cubes are required to create a larger cube with edge length of 3 units? Can I also get an explanation so I know how it's done? Thanks :)

Answers

Answer:

The unit cubes that are required to create a larger cube with an edge length of 3 units is:

27 cubes.

Step-by-step explanation:

To identify the number of cubes you need to create a larger cube, you must think in the number of cubes of the length (3 cubes in this case), and use the exponent 3, because you need to form a cube. Below I'll show you:

[tex]3^{3}= 27 cubes.[/tex]

To understand it in a better form, suppose that you need a cube with an edge of 5 units, in that case, remember you use the number 5 how base and the exponent is 3, because is a cube, in that case, it would be:

[tex]5^{3}= 125 cubes[/tex]

If it wasn't a cube but a square, you must elevate to the number 2, in the case of the cube is elevated to 3, so, the unit cubes that are required to create a larger cube with an edge length of 3 units is 27 cubes.

Explain! Prize! Thank you!

Answers

Answer:

60 pages in 2 days

Step-by-step explanation:

120 pages in 4 days is equivalent to a 30 pages in 1 day rate (divide both by 4). The only other rate that is equivalent to a 30 pages in 1 day rate is 60 pages in 2 days because 60 = 30*2 and 2 = 1*2.

Answer:

60 pages in 2 days is the answer

Keiko purchased a prepaid phone card for $20 . Long distance calls cost 16 cents a minute using this card. Keiko used her card only once to make a long distance call. If the remaining credit on her card is $17.28 , how many minutes did her call last?

Answers

Answer:

17 minutes

Step-by-step explanation:

To answer this question, all we have to do is subtract the original amount of money on the phone card by what is remaining after Keiko's call:

20 - 17.28 = 2.72

Now, we divide this number by 0.16:

2.72 / 0.16 = 17

So, Keiko's call lasted 17 minutes

Hope this helps :)

Lines n, m, and p are drawn on the coordinate grid below.

Which choice is NOT true?

Answers

C. All of the rest of the statements are true.

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?

Answers

Answer:

20

Step-by-step explanation:

360÷18=20

thus ,the polygon have 20 sides

Answer:

20

Step-by-step explanation:

The diameter of a planet is 1280 mi. Find the volume of the planet ?

Answers

Answer:

=098066219.4435 miles cubed

Step-by-step explanation:

Use the radius, 1280/2 = 640

Then use the formula for finding the volume of a sphere.

Four out of every six dental patients request fluoride treatment after their dental cleaning treatments. If 120 patients have dental cleanings this week, how many will choose to have fluoride treatments as well?

Answers

‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎

The mass of Earth is about 6 x 10^24 kilograms. The mass of the moon is about
7 x 10^ 22 kilograms. The mass of Jupiter is about 2 times 10^27 kilograms.

About how many times as large is Earth's mass compared to the moon's mass? Justify your answer.
About how many times as large is Jupiter's mass compared to Earth's mass? Justify your answer.

Answers

Answer:

Earth is 85.71 times heavier than moonJupiter is 333.33 times heavier than Earth

Step-by-step explanation:

Given

The mass of Earth is about 6 x 10^24 kilograms = eThe mass of the moon is about  7 x 10^ 22 kilograms = mThe mass of Jupiter is about 2 x 10^27 kilograms = j

The difference in mass

e/m = 6 x 10^24 / 7 x 10^ 22 = 600/7 = 85.71

Earth is 85.71 times heavier than moon

j/e = 2 x 10^27 / 6 x 10^24 = 2000/6 = 333.33

Jupiter is 333.33 times heavier than Earth

Carrie needs to determine the number of towels that will fit each row along the back of the shower if the back of the shower measures 6 feet long and each towel is 2/3 a foot long which equation shows how to determine the number of tiles that will fit in each row

Answers

Answer:

6 / 2/3 = 9

Step-by-step explanation:

Carrie want to find out the number of towels that will fit each row along the back of the shower

The back of the shower measures 6 ft long

Each towel is 2/3 foot long

Therefore the equation which shows how to determine the number of tile that will fit in each row is

Since 1 tile is 2/3 foot long then the number the number of tile in each row is

= 6 / 2/3

= 6 ×3/2

= 18/2

= 9

how can u
Simplify negative 9 over 6 divided by 3 over negative 2. .

Answers

Answer:

negative 3 over 2 divided by 3 over negative 2.

explanation:

negative 9 over 6 simplified is:

3:2 as a ratio which is negative 3 over 2.

Helppp meeee plzz. Thank you

Answers

Answer:

midpoint is (−6,11 over 2)

8 1/2% as a fraction

Answers

Answer:

it will be  8 1/2

Step-by-step explanation:

Answer:

17/200

Step-by-step explanation:

8.5%=8.5/100 =0.085=0.085/1×1000/1000=85/1000=17/200

hope i'm correct also pls try to answer my question thx

Find the solution to the syster
y = 2x = 5
y = X - 2

Answers

Answer:

Both of these equations are in slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b

Where m is the y-intercept value.

y=-2x+5

y=-2x+20

The slope of the two equations are: m1=−2 and m2=−2

Step-by-step explanation:

Because the have the same slope it means the lines represented by these two equations are either parallel or are the same line.

The y-intercepts for the two lines are:b1 = 5 and b1=20

In Aunt Peggy’s backyard there are cows and chickens. There are 20 more chickens than cows. The total number of legs is 130. How many chickens and how many cows are there? (Each cow has 4 legs, each chicken has 2 legs.) PLZ HELP! Will mark brainliest

Answers

Answer:

There are 15 cows and 35 chickens

Step-by-step explanation:

So first you take 20 and multiply it by two since there are two legs on each chicken. You get 40.

Then you subtract 40 from 130. You get 90.

Since the cow has double the legs of the chicken, you can count the cow as two chicken.

You divide 90 by 3. You get 30.

To get the number of chicken you divide 30 by 2 and you get 15.

You add 15 and 20 together and you get 35 chickens.

To get the number of cows you divide 30 by 2 and you get 15.

So you have your answer. 35 chicken and 15 cows.

Is zero positive or negative?

Answers

Answer:

its nutral

Step-by-step explanation:

it is in between postive and negative like the barrior pretty much

urgently need help from whoever knows how to use keep me change me flip me!!

Answers

Your going to keep the first fraction then change the sign to multiplatation and flip the last fraction. -77/9 (mixed number into fraction) x -7/11

539/99 and then you can simplify that into 5 4/9

Answer:

ik you have a answer already I just really needed points so please don't repeat the answer

(13 points & to get BRAINLIEST, plz give a good explanation so I can improve)

Indications:
Ignore my work for number 1, I need help with number 2. I must submit before 11:59 and it would be really appreciated to get an explanation, not only the answers to the questions.

Answers

I would just like to point out that you solved your first equation incorrectly.

I didn't try finding the correct answer but -23 + 5 = -18 not 18, you forgot the negative sign!!!

Need help Plz 10 points

Answers

Answer:

10 and 15

Step-by-step explanation:

hope this helps

Answer:

Im pretty sure it would just be the 10 miles and the 15 miles

Step-by-step explanation:

Hope this helps. Please give me brainliest.

The function y = 4x represents the distance in miles, y, a horse runs in x hours.

What does the average rate of change over the interval [5, 7] mean?

A. The average speed of the horse in hours per mile between hours 5 and 7.

B. The average speed of the horse in miles per hour between hours 5 and 7.

C. The total time the horse travels in hours between hours 5 and 7.

D. The total distance the horse travels in miles between hours 5 and 7.

Answers

Answer:

B) The average speed of the horse in miles per hour between hours 5 and 7.

Step-by-step explanation:

I took the test

(4x+2y=4
(6x +2y=8
Solve by elimination

Answers

Answer: Y=1

Step-by-step explanation:

Hope this helps

please help me ill give brainiest to whoever is right i need help asap

Answers

Answer:

73 degrees

Step-by-step explanation:

So first, since there are two lines that are parallel, and there is a transversal, angle a and angle b are supplementary due to same side interior angles.

Next, we make an equation: 6x-35+3x+53=180, and after that you come up with 9x+18=180. Put the numbers on one side and the variables on one side, and since you put 18 on the other side, you have to change it to -18. 180-18= 162.

9x=162. In conclusion, x=18. And to find angle a, plug x in. Therefore, the final answer is 73 degrees

compare and contrast between x-intercept and y-intercept

Answers

Answer:

"The x-intercept is the point at which the graph crosses the x-axis... ...The y-intercept is the point at which the graph crosses the y-axis." (Lumen)

The x-intercept is on the horizontal axis while the y-intercept is vertical axis. Aside from that they are practically the same and serve the same purpose while graphing, they just go in differing positions.

The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. ... The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero.

Zoe, Latoya, Christina, and Rhoda each used a different method to verify that Negative 2 (3 x minus 12) = negative 6 x + 24.

Answers

Answer:

Rhoda

Step-by-step explanation:

sub same values of x into both expressions. The expressions are equivalent if the values of the expressions are equal

Answer:

rhoda

Step-by-step explanation:

please help with this

Answers

Tffffffffffffffffffff is that
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