A NASA test rocket is launched from the top of a 101 foot cliff with an initial
velocity of 116 feet per second. The function h(t) = -16t2 +116t + 101 gives the
height, h(t), in feet of the rocket t seconds after it's launched.
How long does it take for the rocket to reach the ground?

Answers

Answer 1

Answer:

4.018secs

Step-by-step explanation:

Given the height reached by the test rocket by the expression  

h(t) = -16t^2 +116t + 101 gives the

The rocket will reach the ground when h(t) = 0

Substitute h(t) = 0 into the expression

0 = -16t^2 +116t + 101

Multiply through by -1

16t^2 -116t - 101 = 0

Factorize using the general formula

t = 116±√(116)²-4(16)(-101)/4(16)

t = 116±√(13,456+6,464)/64

t = 116±√(19,920)/64

t = 116±141.138/64

t = 116+141.138/64

t = 257.138/64

t = 4.018secs

Hence it will take the rocket 4.018secs to reach the ground


Related Questions

16 gallons of water are used to completely fill 5 fish tanks. If each tank holds the same amount of water, how many gallons will each tank hold?

Answers

each tank holds 3.2 gallons of water

Cuantas cifras se emplean para numerar las 48 paginas de una revista?

Answers

Answer:

Para hacer una revista de más de 16 páginas, se cotejan múltiples 'secciones' dobladas ... Entonces 16, 32, 48 páginas etc. ... usted con información técnica sobre números de página, encuadernación y cualquier otra impresión, correo o logística relacionada preguntas. ... El uso de este sitio está sujeto a los Términos y condiciones de uso de nuestro sitio web, que están disponibles aquí.

Step-by-step explanation:

Mas de 16 páginas de una revista

Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft2 and she painted 288 ft2 yellow, what percent of the room did she paint green?

Answers

Answer:

Total percent of the room did she paint green = 60%

Step-by-step explanation:

Given - Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft² and she painted 288 ft² yellow.

To find - What percent of the room did she paint green ?

Proof -

Given that,

The surface area of the walls in her room = 720 ft²

Total area painted in yellow color = 288 ft²

So,

Total area painted in green color would be = 720 - 288 = 432 ft²

Now,

Let the total percent green color painted = x

So,

720 × x% = 432

⇒[tex]720*\frac{x}{100} = 432[/tex]

⇒ x = [tex]\frac{432*100}{720}[/tex] = 60

∴ we get

Total percent of the room did she paint green = 60%

Factoriza la diferencia de cubos

1) 8x³ -64
2) 125x³- 64y{6}
3) 8a³- 27b³
4) 27a³- 27b³

Answers

Answer:

The first one will be equal 2

Because

[tex] \frac{ - 64}{8} = - 8[/tex]

[tex]x ^{3} = 8 \\ [/tex]

[tex] \sqrt[3]{ - 8} = - 2[/tex]

Oh sorry i read the question wrongly i thought you wanted the value of x

Step-by-step explanation:

main formula used

a³-b³=(a-b)(a²+ab+b²)

If anyone is really good at math please hmu ASAP.

Answers

Answer:

Same I'll help you all if you guys try to help me with my recent question.

Step-by-step explanation:

the cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?​

Answers

Answer:

equation: y=15x+95

it would cost $1250

Answer:

f(x) = 95 + 15x

Cost for 77 people = $1250

Step-by-step explanation:

15 x 77 = 1155

1155 + 95 = 1250

Please help me I can’t figure it out NO LINKS
LINKS=REPORT

Answers

Answer:

x = 3

y = 8

Step-by-step explanation:

ok we will substitute

y = x + 5

into the second equation

4x + y = 20

4x + (x + 5) = 20

5x + 5 = 20

5x = 15

x = 3

y = x + 5 = 3 + 5 = 8

Answer:

4(3)+y=20

Step-by-step explanation:

4*3=12

Y= 3+5

3+5=8

12+8=20

Which equation describes the table shown:
Plzzzzzz i need help

Answers

Answer:

y=1x+2

Step-by-step explanation:

so 1x when x equals 2               1 x 2 =2+2 +=4

Y=1x+2!!! Plug in the x part of the chart :)

2. What is the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

The total degrees in a 4 sided polygon is 360°

360° = 51° + 51° + 2(28x - 11°)

56x - 22° + 51° + 51° = 360°

56x = 280°

x = 5

can someone please help me on numbers 5-10 and please show and explain your work HELP THIS IS DUE SOON thxs uwu

Answers

Answer:

hi bri

Step-by-step explanation:

The price of an item has been reduced by 70%. The original price was 70$. What is the price of the item now?

Answers

Answer:

21

Step-by-step explanation:

original price-reduced price

100%-70%=30%

100%=70

30%

30%/100%*70=21

=21$

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

A=59 because it is opposite of E

B= 39 because 180-141=39

C=82 because 180-39-59=82

Answer:

Step-by-step explanation:

PLS HELP ASAP I WILL GIVE BRAINLEAST!!!!!

Answers

Answer:

I did the FSA review so

Step-by-step explanation:

The answers can either be

301.6

301.4

301.7

All are right

Answer:

301.6 hope this help! also have a nice day

NEED HELP PLEASE. NO LINKS OR U WILL B REPORTED. WILL GIVE POINTS AND THE BRAINLIEST. THANKS!!

In a robotics competition, a robot must be built with a specific
maximum starting height, width, and depth. In order to meet the
height requirements, a robot must fit in the judge's plexi-glass box.
The box is a rectangular prism that has a surface area of 1 728 in”, a
width of 15 inches, and a length of 18 inches. The Mad Hatter robot
is 17.75 inches tall in its starting position. Does the Mad Hatter
meet the height requirement?

Answers

L = 18, W = 15 and H = ?
2*(15+18) + 2*(15H) + 2*(18H) = 540 + 30H + 36H
1,728 - 540 = 66H
1,188/66 = H = 18
so yes, it meets the height requirement 17.75 is less than 18

Someone help me I need to get this finished by tomorrow ASAP

Answers

X=2 shown in the work below.

On Monday, a local hamburger shop sold a combined total of 592 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

Answer:

148

Step-by-step explanation:

148 x 3 = 444

444 + 148 = 592

(っ◔◡◔)っ ♥ Hope It Helps ♥

148 hamburgers were sold on Monday.

Let x be the number of hamburgers sold.

Since the number of cheeseburgers sold was three times the number of hamburgers sold, the number of cheeseburgers sold can be represented as 3x.

The total number of hamburgers and cheeseburgers sold was 592. So, we can set up the equation:

x + 3x = 592

Combine like terms:

4x = 592

Now, solve for x by dividing both sides by 4:

x = 592 / 4

x = 148

Therefore, 148 hamburgers were sold on Monday.

To know more about hamburgers:

https://brainly.com/question/11454874

#SPJ2

O D.y = -2x + 2
Q. If m=3 and b=6, what is the correct slope intercept equation?
answer choices
y=3-6
y=3X-6
y=3x+6
y=6x+3
US OP 10:31

Answers

Your answer is option 3:
1. You need to replace the numbers into
Y=mx+b
2 piecing it all together your answer will b:
Y=3x+6

Solve the equation. 12x+3=51

Answers

[tex]12x + 3 = 51 \\ 12x = 48 \\ x = 4[/tex]

Answer:

= 4

Step-by-step explanation:

1 2 + 3 = 5 1

1 2 + 3 -3 = 5 1 − 3

i hope this helps<3

:)

To serve 1 person at a local restaurant, it takes 10 minutes. To sene 5 people, it takes 18 minutes. Write and solve an equation to find the number it will take to serve a party of 8.​

Answers

Answer:8x5=10-x

Step-by-step explanation:

tombstone and bury me.. by the river they'll carry me. finally I been resting in peace.. finally, finally..​

Answers

Answer:

rhymy

Step-by-step explanation:

$17.40 is 120% of what price?

Answers

i tried looking for it but i’m sorry

GIVING BRAINLIEST AND THE REST OF MY POINTS!!!! PLS HELPP :((

Answers

Answer:

its simple just do numbers like 1,4 2,4 6,9 3,9

you just have to add the number onto it :3

hopes this helps im trying my best

--heart if it helped--

translation math
pls dont give me any link

Answers

Answer: C

Step-by-step explanation:

Haha posting the pics of me again cuz why not
1/10
for me i pick 5/10

Answers

Answer:

Step-by-step explanation:

10/10 cause everyone is

Answer:

AA by isaiah rashad

Step-by-step explanation:

good song


f(1) = -3
f(n) = 2. f(n − 1) +1

f(2)=

Answers

f ( 2 ) = 2 × f ( 2 - 1 ) + 1

f ( 2 ) = 2 × f ( 1 ) + 1

f ( 2 ) = 2 × ( - 3 ) + 1

f ( 2 ) = - 6 + 1

f ( 2 ) = - 5

How to solve this triangle, please help me.

Answers

Answer:

sum of angles in a triangle is 180

so 70+60+ 8x+2 = 180

132+ 8x = 180

8x = 180-132

x = 48/8

x= 6

then find the angle by substituting value of x

8x + 2

8*6 + 2

= 50°

Gllberto invests $10,000 in a savings account that pays 4.75% simple interest. If Gilberto
makes no withdrawals or deposits to the account, how much will be in the account after 7
years?

Answers

Answer:

$13,325

Step-by-step explanation:

BRAINLY TO WHOEVER CAN HELP

Answers

Answer:

B: 1/3

Step-by-step explanation:

The original shape is getting bigger so it must be a whole number greater than 1. And the shape is still there so it can't be 0. The only other answer is 3.

2. What is the coordinate of the final image of vertex T
after the triangle is translated 3 units to the left and 2
units up?


Please help with number 2

Answers

Answer:

We have the coordinates of vertex T after the translation as (-5,0)

Step-by-step explanation:

Firstly, we get the coordinates of vertex T

we have this as;

(-2,-2)

Translating to the left means we are going to subtract the specific units from the x-coordinate

2 units up means we are going to add to the y-coordinate value

So, we have it that;

(-2-3, -2+ 2) = (-5,0)

A square piece of plastic has sides that are 8 centimeters long. What is the piece of plastic's area?

Answers

Answer:

64 [tex]cm^{2}[/tex]

Step-by-step explanation:

l x w = area

8 x 8 = 64

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