Answer: a) H = h( 0.5 )^n
b) H = 1.125inches
Step-by-step explanation:
Let H = height of the ball
n = number of time the ball bounces
h = initial height.
The exponential function to model the height of the ball will be:
H = h( 1 - 0.5)^n
H = h( 0.5 )^n
It's minus because the height of the ball is decreasing.
h = 36 inches
n = 5
H = 36( 1 - 0.5 ) ^5
H = 36( 0.5 )^5
H = 36 × 0.03125
H = 1.125inches
Dividing the number of tires that should be installed per day which is 400 by the number of working hours which is 8 will give us 50 tires per hour. Assuming that the same mistake will take toll on the workers such that they will have 1 tire mistakenly installed in an hour, they will have 8 erroneous tires in a day. Multiplying this by 5 to make the answer per week will give 40. Out of the 400 x 5 = 2000 tires. The answer would be 2000 - 40 which is equal to 1940. The assumption must be valid.
64
Step-by-step explanation:
We will divide the volume of the larger cube with that if the smaller cube. However, we’ll first have to convert them to the same SI units;
12 inches = 1 foot
Therefore the volume of the larger cube;
12 * 12 * 12 = 1728 inches cubed
The volume of the smaller cube;
3 * 3 * 3 = 27 inches cubed
Divide the two;
1728/27
= 64
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Answer:
14 square roots of 2 is correct
Step-by-step explanation:
Answer:
1782 tiles
Step-by-step explanation:
Given that:
Dimension fo floor = 132 x 216 inches
Area of floor = 132 * 216 = 28512 in²
Dimension of tiles = 4 * 4 inches
Area of tiles = 4 * 4 = 16 in²
Number of tiles needed to cover floor :
Area of floor / Area of tiles
28512 in² / 16 in²
= 1782 tiles