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erik [133]
3 years ago
11

Can someone please help me with these two questions ​

Mathematics
1 answer:
Anarel [89]3 years ago
4 0

Answer:

  23.  0.4583 seconds

  24.  0.0107 seconds

Step-by-step explanation:

The problem statement tells you how to work it. You need to convert speed from miles per hour to feet (or inches) per second.

 90 mi/h = (90·5280 ft)/(3600 s) = 132 ft/s = (132·12 in)/s = 1584 in/s

__

23. The time it takes for the ball to travel 60.5 ft is ...

  time = distance/speed

  time = (60.5 ft)/(132 ft/s) = 0.4583 s

It takes 458.3 milliseconds to reach home plate.

__

24. time = distance/speed

  time = (17 in)/(1584 in/s) = 0.0107 s

The ball is in the strike zone for 10.7 milliseconds.

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Find the first three terms of the sequence below. Tn=n2+2n+9​
klasskru [66]

\\ \bull\tt\longrightarrow T_n=n^2+2n+9

\\ \bull\tt\longrightarrow T_1=1^2+2(1)+9=1+2+9=12

\\ \bull\tt\longrightarrow T_2=2^2+2(2)+9=4+4+9=17

\\ \bull\tt\longrightarrow T_3=3^2+2(3)+9=9+6+9=24

8 0
2 years ago
Sin a_____=1/2 [sin (a + b) + sin (a - b)]
QveST [7]

Answer:

\textbf{A.} \cos b

Step-by-step explanation:

\dfrac 12 \left[\sin(a+b)+\sin(a-b) \right]\\\\\\=\dfrac 12\left[ 2 \sin a \cos b\right]\\\\\\=\sin a \cos b

7 0
1 year ago
a number, half of that number, and one-third of that number are added. the result is 22. what is the number?
tiny-mole [99]
Let the number be x.

Half of that number  =  x / 2
One third of the number  =  x / 3

=  x / 2 + x / 3 = 22.  LCM  =  6.

= (3x + 2 x) / 6  = 22.

5x / 6 = 22.      Cross multiply

5x = 6 * 22.

5x = 132      Divide both sides by 5.

x =  132 / 5

x = 26.4

The number is 26.4.  Cheers.
5 0
3 years ago
On Monday Greg walks the entire length of a trail that is 3 1/2 miles long on Tuesday he walks the entire length of a trail that
-Dominant- [34]

Answer:

Step-by-step explanation:

3.5+4.6+2.5 = 10.6

7 0
3 years ago
Read 2 more answers
The cost of 2 markers and 5 pencils is $3.25. The cost of 4 markers and 6 pencils is $5.50.
mihalych1998 [28]

Answer: markers are a dollar each and pencils are twenty five cents each

Step-by-step explanation:

2x1 = 2

5x.25 = 1.25

2+1.25= 3.25

4x1 = 4

6x.25= 1.50

4+1.30 = 5.50

Hope this helps and if you need me to explain it better feel free to ask!

5 0
2 years ago
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