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elena-14-01-66 [18.8K]
4 years ago
11

A steel ball is held by a ceiling-mounted electromagnet 4.0 m above the floor. A compressed-air cannon sits on the floor, 5.0 m

to one side of the point directly under the ball. When a button is pressed, the ball drops and, simultaneously, the cannon fires a plastic ball. The two balls collide 1.4 m above the floor.What was the launch speed of the plastic ball?

Mathematics
1 answer:
Fed [463]4 years ago
8 0

Answer: 7.92 m/s

Step-by-step explanation: see attachment

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In the video, the water level was 15 milliliters before adding the chain, and 20 milliliters after adding the chain. When I weig
mr_godi [17]

Answer:

  • 39.7%

Explanation:

<u />

<u>1. First find the density of your chain</u>

  • Density = mass / volume

  • Volume = displaced water volume

                      = Volume of Final level of water - initial level of water

                     = 20 ml - 15 ml = 5 ml

  • Mass = 66.7 g

  • Density = 66.7g / 5 ml = 13.34 g/ml

<u />

<u>2. Second, write the denisty of the chain as the weighted average of the densities of the other metals:</u>

Mass of gold × density of gold + mass of other metals × density of other metals, all divided by the mass of the chain.

Calling x the amount of gold, then the amount of other metals is 66.7 - x:

        \dfrac{19.3\cdot x+9.7\cdot (66.7-x)}{66.7}=13.34

       19.3x+635.66-9.7x=889.778

      9.6x=254.118\\\\x=26.47

Then, there are 26.47 grams of gold in 66.7 grams of chain, which yields a percentage of:

  • (26.47 / 66.7) × 100 = 39.7%
7 0
3 years ago
PLEASE HELP ME WITH THIS QUESTION!!!!!!!!
BaLLatris [955]

I think it's a 1/2 because if you look at it and look at the points the smallest triangle would be half of that

7 0
3 years ago
Find the absolute maximum and minimum of the function f(x)=sin^2x+cosx
rosijanka [135]
Hello : 
f(x) = sin²(x) +cos(x)
the dirivate is : f'(x) = 2sin(x) cos(x) -sin(x) because : 
( sin²(x) )' =  2sin(x) cos(x)   and (cos(x))' = - sin(x)

f'(x) = 0  :  sin(x) (2cos(x) - 1) = 0
sin(x) = 0 : x = k <span>π    k in Z
</span>2cos(x) - 1 =0 : 2cos(x) =1
 cos(x) = 1/2 = cos( π /3)
 x =  π /3 +2k π  or   x = - π /3 +2k π 
in intervall : <span> <span>[0 , 2π] : 
k=0 : x= 0   f(0) = 1   ( </span></span>minimum<span>)
</span>k=1 :  x = π    f(π) = -1 (<span>minimum)
x= </span> π /3  f (  π /3 ) = 1.25 ( <span>maximum)</span>
6 0
4 years ago
What is the measurement of angle A to the nearest degree?
forsale [732]

Answer:

A = 51 degrees

Step-by-step explanation:

We can use the law of sines

sin A          sin 95

------------ = -----------

7                   9

Using cross products

9 sin A = 7 sin 95

Divide each side by 9

sin A = 7/9 sin 95

Take the inverse of each side

sin ^-1 sin A = sin ^-1 ( 7/9 sin 95)

A = 50.78854367

To the nearest degree

A = 51 degrees

6 0
4 years ago
A swimmer swam the 50-meter freestyle in a time of 21 seconds. What was the speed to the nearest tenth of a meter per second?
Mila [183]

The answer would be 2.4 meters per second. To find this, you would divide the 50 meters by 21 seconds. It equals 2.380952, and rounds to 2.4m/s.

5 0
3 years ago
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