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JulijaS [17]
3 years ago
10

An object is propelled vertically upward from the top of a​ 256-foot building. The quadratic function​ s(t) = ​-16t squared ​+ 1

92t​ + 256 models the​ ball's height above the​ ground, s(t), in​ feet, t seconds after it was thrown. How many seconds does it take until the object finally hits the​ ground? Round to the nearest tenth of a second if necessary. A. 6 seconds
Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer: t= 13.2 seconds

Step-by-step explanation:

The quadratic function for ball's height in terms of time t is given as

s(t)= -16t² +192t + 256

Now we want to find out the time at which the ball hits the ground.

When the ball hits the ground, the height of the ball will become zero so in the above equation we can put s(t)=0

0= -16t² +192t + 256

or 16t² -192t - 256 = 0

Solving this quadratic equation, we have

t= 13.211 and t= -1.211

Since time can't be negative so

t= 13.2 seconds

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PLEASE HELP!!!!! I HAVE A DEADLINE !!!!
belka [17]

Answer:

V_rocket  = 44\pi  ft^3  = 138.2 ft^3

Step-by-step explanation:

Volume  of cone

V_cone = (1/3)*(\pi*(radius^2))*h

radius = 2ft

h = height of the cone = 3 ft

pi = 3.1416

V_cone = 4\pi  ft^3

Volume cylinder

V_cylin = (\pi*(radius^2))*h_cyl

h_cyl = height of the cylinder = 10 ft

V_cylin  = 40\pi  ft^3

Volume rocket

V_rocket = V_cone  +  V_cylin  = 4\pi  ft^3 + 40\pi  ft^3

V_rocket  = 44\pi  ft^3  = 138.2 ft^3

3 0
3 years ago
I need to know the distance and if your could please tell me the formula for future problems thank you!! ASAP
Ksivusya [100]

Distances in 2- and 3-dimensions (and even higher dimensions) can be found using the Pythagorean theorem. The straight-line distance can be considered to be the hypotenuse of a right triangle whose sides are the horizontal and vertical differences between the coordinates.

Here, you have A = (0, 0) and B = (3, 6). The horizontal distance between the points is ...

... 3 - 0 = 3 . . . . the difference of x-coordinates

The vertical distance between the points is ...

... 6 - 0 = 6 . . . . the difference of y-coordinates

Then the straight-line distance (d) between the points is found from the Pythagorean theorem, which tells you ...

... d² = 3² + 6²

... d = √(9 + 36) = √45 ≈ 6.7 . . . units

8 0
3 years ago
janet and sam both have new jobs. Janet makes $8 every 1/2 hour. Sam makes $5 every 1/3 of an hour. Who would have made more mon
Ksivusya [100]
Janet earns more money because she gets paid $8 every 30minutes and in other words is that per hour she gets paid $16.  Whereas Sam gets paid $15 every hour. The amount paid at the start determines who gets more
4 0
3 years ago
18.25 × 17.25= show my work
abruzzese [7]
You would get 314.8125
7 0
3 years ago
Solve the equation: 2+3x=4+x(2+x)
grandymaker [24]
2 + 3x = 4 + 2x + x^2
x^2 - x + 2 = 0

(x - 0.5)^2 - 0.25 + 2 = 0

(x - 0.5)^2 = -1.75

x - 0.5 = +/- sqrt 1.75 * i

x = 0.5 + 1.32i  ,  0.5 - 1.32i  answer
4 0
3 years ago
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