A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 + 247x + 141

Answers

Answer 1

Answer: 15,99s

when the rocket hit the ground => y = 0

=> -16x² + 247x + 141 = 0 (*)

a = - 16      b = 247     c = 141

Δ = b² - 4ac = 247² + 16.4.141 = 70033 > 0 => (*) has 2 solutions

=> x = [tex]\frac{247-\sqrt{70033} }{32}=-0,55(removed)[/tex]

or x = [tex]\frac{247+\sqrt{70033} }{32}=15,99(s)[/tex]

Step-by-step explanation:


Related Questions

Plz Help...
Find x in the given triangle.

Answers

Answer:

[tex]\huge\boxed{x=2\sqrt{286}}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have:

[tex]leg=x\\leg=15\\hypotenuse=37[/tex]

Substitute and solve for x:

[tex]x^2+15^2=37^2\\\\x^2+225=1269\qquad|\text{subtract 225 from both sides}\\\\x^2+225-225=1269-225\\\\x^2=1144\to x=\sqrt{1144}\\\\x=\sqrt{4\cdot286}\\\\x=\sqrt4\cdot\sqrt{286}\\\\x=2\sqrt{286}[/tex]

Round 59..166 to the nearest tenth

Answers

Answer:

59.2

Step-by-step explanation:

so each number placement after the decimal is different.

it goes tenths place, hundredths place, thousandths place, ten thousandths place and so forth

Answer:

59.2

Step-by-step explanation:

the tenth place is the 1st place on the right side of the dwecimal. so this rounded to the nearest tenth woul be 59.2, since 6 is enough to make 1 round up one more

En el siguiente diagrama, Midtown se encuentra exactamente a mitad de camino entre Uptown y Downtown. ¿Cuál es la distancia entre Midtown y Lower East Side?

A-2.6 km
B-1.5 km
C-2.1 km
D-90 grados

Answers

A. 2.6

Sabemos que el ángulo de uptown es 90 y el ángulo de downtown es 90 entonces son congruentes. Si midtown es exactamente la mitad del camino de uptown a downtown entonces la distancia de uptown a midtown es exactamente igual a la distancia de midtown a downtown. Como la línea de upper west side a lower east side es una transversal de la línea uptown a downtown, sabemos que el ángulo de upper,mid,up es vertical al ángulo down,mid,lower y eso significaría que esos did ángulos son congruentes. Usando el ASA theorem (ángulo, lado, ángulo) sabemos que los dos triángulos son congruentes entonces la línea de upper a mid es igual a la de mid to lower
:)))

Ahmed paid $18 for a shirt which has a marked price of $25. What is the percentage discount?​

Answers

18/25=0.72
1-0.72=0.28 or 28%

Help me pleaseeeeee!!!!

Answers

Answer:

B

Step-by-step explanation:

It's a guess

David estimated that the band fundraiser would make $492.
The fundraiser actually made $600. What was the percent
error of David's estimate?

Answers

Answer:

18%

Step-by-step explanation:

if i am right

it would be subtract 492- 600 = -108

make this a positive value so 108

and divide it by the actual made amount

108/600 which would be 0.18 multiply this by 100 and you have 18% !!

this is what i remember doing!  

let me know if it helped

The Captain of a boat is steering at
a heading of
327° at 18 mph.
The current is flowing at a rate of 4mph
at a heading of 60°. Find the course to the
nearest deguse of the boat.

Answers

Answer:

59.97 º at 18.23 mph

Step-by-step explanation:

A ski club rents cross-country skis. The table below shows the cost of rentals for two and four days. Number 1 2 3 of Days Rented Rental Cost ($) 12 17 22 27 Which explicit formula models the cost of renting skis from the club? o an . = 12 + 5n O an . 10n An = 5 + 5n O an an = 7+5n​

Answers

Answer:

an = 7 + 5n

Step-by-step explanation:

First we know that for each number of days rented the cost increase by 5 so we get an - (?) + 5n.

We also know the first number is 12 for 1 day, so for 0 days, or the starter cost, is 7. We get this by subtracting 5 from 12.

Hence the answer an = 7 + 5n

Answer:

Step-by-step explanation:

Can anyone help me ?

Answers

Answer:

1

Step-by-step explanation:

The zero of a liner function is where it crosses the x-axis

1 !!

that’s where the line crosses !

Help ASAP ‍♂️yes or no explanation

Answers

Answer:

yes

Step-by-step explanation:

Yes hg CNN ffjffhjgg CB CNN

2.4x + 4.6x = 28 Could someone help me with this problem I need it.

Answers

2.4x + 4.6x = 7
7x = 28
X = 4

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define

2.4x + 4.6x = 28

Step 2: Solve for x

Combine like terms (x):                    7x = 28Divide 7 on both sides:                    x = 4

Step 3: Check

Plug in x to verify it's a solution.

Substitute in x:                    2.4(4) + 4.6(4) = 28Multiply:                               9.6+ 18.4= 28Add:                                     28 = 28

Here we see that 28 does indeed equal 28.

∴ x = 4 is a solution of the equation.

Y=-6x+10. Y=-6x+3

Solve the system of equations

Answers

Given:

The system of equations is

[tex]y=-6x+10[/tex]

[tex]y=-6x+3[/tex]

To find:

The solution of given system of equations.

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

For [tex]y=-6x+10[/tex], slope is -6 and y-intercept is 10.

For [tex]y=-6x+3[/tex], slope is -6 and y-intercept is 3.

Slopes of both lines are but the y-intercepts are difference. So, the two lines are parallel.

Therefore, the given system of equation has no solution.

Kiran has LaTeX: 10\frac{1}{2} 10 1 2 feet of lumber and wants to make a bookshelf. Kiran needs two side panels that are each LaTeX: 5\frac{2}{3} 5 2 3 feet. How much more lumber does Kiran need in order to make the side panels? A) LaTeX: \frac{5}{6} 5 6 feet B) LaTeX: \frac{1}{2} 1 2 feet C) LaTeX: 1\frac{5}{6} 1 5 6 feet D) LaTeX: 1\frac{1}{2} 1 1 2 feet

Answers

Answer:

A) LaTeX: \frac{5}{6} 5 6 feet

Step-by-step explanation:

Kiran has 10 1/2 feet of lumber and wants to make a bookshelf.

Kiran needs two side panels that are each 5 2/3 feet.

1 side panel = 5 2/3 feet

2 side panels =

2 × 5 2/3

2 × 17/3

= 34/3

= 11 1/3 feet

Kiran would need 11 1/3 feet of lumber.

Kiran already has 10 1/2 feet

How much more lumber does Kiran need in order to make the side panels?

This is calculated as:

11 1/3 - 10 1/2

11 - 10 + (1/3 - 1/2)

1 + ( 2 - 3/6)

1 + (-1/6)

1 - 1/6

= 5/6

Hence, Kiran need 5/6 feet more of Lumber.

Linda's account has a balance of −$45.50. If she owes the bank more than $30, her account gets closed. Which of the following is true about Linda's account?

Answers

Answer:

There's no options but it will get closed

Step-by-step explanation:

Answer:

Step-by-step explanation:

-75.5

find H.C.F of 2x+4 and x^2-4​

Answers

Answer:

(x+2)

Step-by-step explanation:

(2x+4) = 2(x+2)

x^2-4 = (x+2)(x-2)

H.C.F = (x+2)

Hope this helped!

Factor each expression separately.

2x + 4 becomes 2(x + 2).

x^2 - 4 becomes (x - 2)(x + 2).

The highest common factor is (x + 2).

Simplify (6g4h5)2
What is the answer

Answers

Answer:

12g8h10

Multiply each variable quantity by 2 and combine.

Consider the following equations: y = 2 x minus 3. y = 2 x. y = 2 x + 2. y = 2 x + 5. Discuss the similarities and differences of the graphs of these equations. (Use a graphing calculator if you have one.) a. Same slopes; same y-intercepts b. Same slopes; different y-intercepts c. Different slopes; different y-intercepts d. Different slopes; same y-intercepts Please select the best answer from the choices provided A B C D

Answers

Answer:

its c

Step-by-step explanation:

i just did it in edge hope this helps

Answer:

its c

Step-by-step explanation:

i just did it and got it right

Need some help with this question!!​

Answers

Is that from the Algebra Nation book? If so, go to Algebra Nation and there are vids that help step by step.

What is the slope of (10, 10) and (2, 1).

Answers

Answer:

9/8

Step-by-step explanation:

my work is in the picture. lmk if you'd like me to explain more

There are 14 teams in a basketball league.
Each team plays every other team twice
during the season.
a) Suppose that you want to determine
how many games, in total, are played.
Suggest a simpler problem that you
could solve first.
b) How many games, in total, are played
during the season?

Answers

Answer:

Step-by-step explanation:210 games

14+13+12... (x2)

The total number of games played is 182.

What is permutation?

The number of possible arrangements for a given set is calculated mathematically using permutation, where the arrangement's order matters.

Given that, there are 14 teams and each team plays twice with the other team.

Since each team plays every other team twice, the total number of games is nothing but the permutation of 2 out of 14 which is given by:

₁₄P₂

=14!/((14-2)!)

= (14×13×12!)/ 12!

= 14×13

=182

Hence, the total number of games played is 182.

Learn more about the permutations:

https://brainly.com/question/1216161

#SPJ2

a cube of wood exerts a pressure of 2Pa when it is placed on a floor . What is the force exerted by the cube if its surface area is 5m square?​

Answers

Duh it’s 5m square that’s the angels

30 POINTS! PLEASE HELP WITH THIS QUESTION!

Answers

Answer: I think it is 8

Step-by-step explanation: Since the tree in the garden is a 24 foot shadow, you divide by the 6 foot shadow and get 4

then 4 * 4 = 16

16 / 2 = 8

So i think its 8

-2q– 32 = 0
q=
and
Som
One
Please
He
Lp
Ple
Ase

Answers

q= -16

(((ignore this)))

are 1/8 and 12.5% equivalent ​QUICK

Answers

Answer:

Step-by-step explanation:

Yes they are equivalent

Hope it helps!

*Gotta go fast*

Hank sells toy cars on a web site. The web site fee is $30. Hank sells each toy car for $4.
What inequality does Hank use to determine how many toy cars, c, he must sell to make a
profit of at least $50?
A
B
34c s 50
340 250
40 + 30 S 50
40 - 30 250
С
D

Answers

Here’s the answer and steps :)

Answer: D

Step-by-step explanation:

Which of the following is the graph of f (x + 3)?

Answers

Answer:

I'd say it's C... that's shift on x-axis and the plus symbolizes the shift in the minus "region" because that's swapped you count how many steps you have to go to get to the zero.

Line v has an equation of y=10/7x + 8. Line W is perpendicular to line v and passes through (-7,4). What is an equation of line w?

Answers

y=10/7x+39 i’m pretty sure this is right tho so good luck!!

1) f(x) = - x2 + 4x - 10
Find f(5)

Answers

substitute the x with 5
-(5)2 + 4(5) - 10 = 0

Find the values of x and y.

Answers

Answer:

x = 45°, y = 85°

Step-by-step explanation:

x = 45° ( Alternate angles )

y = 85° ( Corresponding angles )

a wheel has a radius of 6 inches and rotates 35.4 radians per minute. How far in inches will a point on the rim of the wheel travel in 5 minutes

Answers

sksksksksksksksksksksksksks and i ooop
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