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Alex17521 [72]
2 years ago
10

Approximately how many

Mathematics
1 answer:
Marina CMI [18]2 years ago
3 0
Approximately 5 to 6 years.
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A ball is dropped from the top of a 550 ft. building. The function h(t) = - 16t2 + 50 models the height of the ball, h(t) (in fe
oee [108]
If the ball is dropped from 550ft height then what else could be the right answer.. I would go with 550ft
8 0
3 years ago
The function f is defined by f(x) = a + bcos2x, for 0 ≤ x ≤ π. It is given that f(0)=−1 and f(1/2π) = 7. (i) Find the values of
olga_2 [115]
Sub in given values to get 2 equations.

a + b \cos(2*0) = -1 \rightarrow a+b = -1 \\  \\ a+b \cos(2*\frac{\pi}{2}) = 7 \rightarrow a - b = 7

Solve system using elimination.  Add the equations together, cancelling out 'b'
2a = 6 \\  \\ a = 3

Sub into first equation to get value for 'b'
3+b = -1 \\  \\ b = -4
4 0
4 years ago
A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A
Afina-wow [57]

Answer:

13.86 ft/sec

Step-by-step explanation:

If we let x = distance batter has run at time t and  D = distance from second base to the batter at  time t, then we know \frac{dx}{dt}=31 ft/s and we want \frac{dD}{dt} when he is halfway (at x = 45).

Using Pythagoras theorem

D^2=90^2+(90-x)^2\\\text{Differentiating with respect to t}\\2D\frac{dD}{dt}=0+2(90-x)(-1)\frac{dx}{dt}\\2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}

When x=45

D^2=90^2+(90-x)^2\\D^2=90^2+(90-45)^2\\D^2=10125\\D=\sqrt{10125}

2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}\\2\sqrt{10125}\frac{dD}{dt}=-2(90-45)(31)\\\frac{dD}{dt}=\frac{-2(45)(31)}{2\sqrt{10125}} =-13.86ft/s

Thus, when the batter is halfway to first base, the distance between second base and the batter is  decreasing at the rate of about 13.86 ft/sec.

4 0
3 years ago
Solve this system of equations- x=2y-8 and 4x+y=13
rjkz [21]
(2,5)
thats what i got

8 0
4 years ago
Read 2 more answers
What is (-1/4) - (-3/5)?
Nostrana [21]
.35 Hope this helps :)

6 0
3 years ago
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