In baseball the distance from the pitcher's mound to home plate is exactly 60 feet and 6 inches. If a pitcher throws a baseball with a speed of 95.0 mph, then how long is the ball in flight (in seconds)

0.434 seconds

Step-by-step explanation:

Distance = 60 feets 6 inches

Speed of baseball = 95mph

Time taken : distance / speed

6 inches = 0.5 feets

60 feet 6 inches = 60.5 feets

Convert 60 feet 6 inches to miles

1 mile = 5280 feets

x = 60.5 feets

5280x = 60.5

x = 60.5 / 5280

x = 0.0114583 miles

Hence,

60.5 feets = 0.0114583 miles

Hence,

Time taken = 0.0114583 miles / 95 mph

Time taken = 0.0001206 hour

Converting to seconds :

0.0001206 * 3600

= 0.4342105 seconds

0.434 seconds

b

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.