To convert 11 5/8 to an improper fraction, multiply the whole number by the denominator and add the numerator. The result is 93/8.
The process to change 11 5/8 to an improper fraction involves two main steps. Firstly, you multiply the whole number (11 in this case) by the denominator of the fraction (8). The result is 88. Secondly, add the numerator of the fraction (5) to this result. Therefore, 88 + 5 = 93. Hence, the improper fraction form of 11 5/8 is 93/8. It is called an improper fraction because the numerator is greater than the denominator.
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Answer:
It takes 3 seconds over the interval [0,3]
Step-by-step explanation:
To find when the roller coaster reaches the ground, find when d=0.
To solve divide each term by 16 and factor:
Solve for t by setting each factor to 0.
t-3=0 so t=3
t+3=0 so t=-3
This means the car is in the air from 0 to 3 second.
The time interval will be 0<t<3 or (0, 3)
A interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.
Given:
d = 144 – 16t²
Now,
d>0
144 – 16t²>0
144>16t²
144/16>t²
9>t²
t<±3
Since, timecan't be negative.
So, t<3
Hence, the interval for which Greg’s car moving in the air is, 0<t<3 or (0, 3).
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Answer:
The length of the rectangle is 16 yards
The width of the rectangle is 9 yards
Step-by-step explanation:
The given parameters are;
The perimeter of the rectangle = 50 yards
The width, W of the rectangle = 1 + Length, L/2
Therefore we have;
W = 1 + L/2
2 × W + 2 × L = 50
2 × (1 + L/2) + 2 × L = 50
2 + L + 2·L = 50
3·L = 50 - 2 = 48
L = 48/3 = 16
The length, L = 16 yards
The width, W = 1 + L/2 = 1 + 16/2 = 1 + 8 = 9
The width, W = 9 yards.