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Svet_ta [14]
3 years ago
10

a baseball is thrown a distance of 20 meters . what is its speed if it takes 0.5 seconds to cover the distance?

Mathematics
2 answers:
ElenaW [278]3 years ago
4 0

Answer:

40 m/sec

Step-by-step explanation:

Speed = 20/0.5 = 20/(5/10)= 40


IRISSAK [1]3 years ago
4 0

To find the speed, you need to divide distance by time.

So: 20/0.5 and that will equals to 40.

Answer: It takes 40 seconds.

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I would say 465 since they go back and forth twice which is 155 x 3
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Which undefined terms are needed to define a line segment
Finger [1]
Unsure of what you are asking!

But if the issue here is how to define a line segment, write what you do know and then reconsider "undefined terms."

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If the center of a given circle is at C(0,0) and a point on the circumference is given by R(3sqrt(2),3sqrt(2)), then AC is the line segment joining these two points.  This line segment has length 3 and is in the first quadrant, with coordinates x=3sqrt(2) and y=3sqrt(2) describing the end point of the segment.
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3 years ago
Read 2 more answers
a scuba diver, who was 25 2/3 feet beneath the surface of the water, descended 5 1/2 feet. from this depth, how many feet must t
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Answer:

31 1/6 feet

Step-by-step explanation:

add 25 2/3 to 5 1/2 to see how far under the surface he is; use common denominator of 6

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6 0
3 years ago
A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t
11Alexandr11 [23.1K]

Answer:

  • <u>Question 1:</u>      dm/dt=0.2m<u />

<u />

  • <u>Question 2:</u>     m=Ae^{(0.2t)}<u />

<u />

  • <u>Question 3:</u>      m=10e^{(0.2t)}<u />

<u />

  • <u>Question 4:</u>      m=10g<u />

Explanation:

<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>

<u></u>

a) By definition:  m'=dm/dt

b)  Given:  rate=0.2m

c) By substitution:  dm/dt=0.2m

<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>

a) <u>Separate variables</u>

     dm/m=0.2dt

b)<u> Integrate</u>

           \int dm/m=\int 0.2dt

            ln(m)=0.2t+C

c) <u>Antilogarithm</u>

       m=e^{0.2t+C}

       m=e^{0.2t}\cdot e^C

         e^C=A\\\\m=Ae^{(0.2t)}

<u>Question 3. Which particular solution matches the additional information?</u>

<u></u>

Use the measured rate of 4 grams per hour after 3 hours

            t=3hours,dm/dt=4g/h

First, find the mass at t = 3 hours

            dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g

Now substitute in the general solution of the differential equation, to find A:

          m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976

Round A to 1 significant figure:

  • A = 10.

<u>Particular solution:</u>

           

             m=10e^{(0.2t)}

<u>Question 4. What was the mass of the bacteria at time =0?</u>

Substitute t = 0 in the equation of the particular solution:

         m=10e^{0}\\\\m=10g

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Answer:

7.5

Step-by-step explanation:

1 foot is 12 inches so I just divided.

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