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jonny [76]
3 years ago
6

In 2003, a remote controlled airplane became the first ever to fly nonstop across the Atlantic ocean

Mathematics
1 answer:
aniked [119]3 years ago
5 0
Sorry but you didn’t provide a question, this is a statement.
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a 15-ft ladder is leaning against one wall of an alley 9 ft wide. the ladder slips, its top sliding down the wall, its foot slid
blagie [28]
2x dx/dt +2y dy/dt = 0 
<span>x dx/dt + y dy/dt = 0 </span>
<span>9*4 + 12 dy/dt = 0 </span>
<span>dy/dt = - 3 ft/sec </span>
5 0
3 years ago
C(x)=4x-2 and d(x)=x^(2)+5, what is (c*d)(x)
lawyer [7]

Answer:4x^3-2x^2+20x-10

Step-by-step explanation:

5 0
3 years ago
A man hits a baseball when it is 4 ft above the ground with an initial velocity of 120 ft/sec. The ball leaves the bat at a 30 d
Sauron [17]
<span>et us assume that the origin is the floor right below the 30 ft. fence

To work this one out, we'll start with acceleration and integrate our way up to position.

At the time that the player hits the ball, the only force in action is gravity where: a = g (vector)
ax = 0
ay = -g (let's assume that g = 32.8 ft/s^2. If you use a different value for gravity, change the numbers.

To get the velocity of the ball, we integrate the acceleration
vx = v0x = v0cos30 = 103.92
vy = -gt + v0y = -32.8t + v0sin40 = -32.8t + 60

To get the positioning, we integrate the speed.
x = v0cos30t + x0 = 103.92t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + 60t + 4

If the ball clears the fence, it means x = 0, y > 30

x = 0 -> 103.92 t - 350 = 0 -> t = 3.36 seconds

for t = 3.36s,
y = -16.4(3.36)^2 + 60*(3.36) + 4
= 20.45 ft

which is less than 30ft, so it means that the ball will NOT clear the fence.


Just for fun, let's check what the speed should have been :)

x = v0cos30t + x0 = v0cos30t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + v0sin30t + 4

x = 0 -> v0t = 350/cos30
y = 30 ->
-16.4t^2 + v0t(sin30) + 4 = 30
-16.4t^2 + 350sin30/cos30 = 26
t^2 = (26 - 350tan30)/-16.4
t = 3.2s

v0t = 350/cos30 -> v0 = 350/tcos30 = 123.34 ft/s

So he needed to hit the ball at at least 123.34 ft/s to clear the fence.

You're welcome, Thanks please :)
</span>
6 0
3 years ago
Find the area of a square that has a perimeter of 24 cm.
Colt1911 [192]

Answer:36

Step-by-step explanation: since a square has 4 sides you divide 24 by 4 to see what one side equals which is 6 then you do 6 times 6 because that's how you find area of a square which gets you 36

5 0
3 years ago
Read 2 more answers
Topic/Objective: Function Applications pp. 228-252
e-lub [12.9K]
Graphing them and see what the difference is
6 0
3 years ago
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