A 1 = 57, a 2 = 61, a 3 = 65 ( arithmetic sequence )
a n = a 1 + ( n - 1 ) d
a 2 = a 1 + d
61 = 57 + d
d = 61 - 57
d = 4
a 9 = 57 + 8 * 4 = 57 + 36 = 93
Answer: Her score on the 9th assessment will be 93 points.
Step-by-step explanation:
Reduce 24/96 to lowest terms
Find the GCD (or HCF) of numerator and denominator. GCD of 24 and 96 is 24.
24 ÷ 2496 ÷ 24.
Reduced fraction: 14. Therefore, 24/96 simplified to lowest terms is 1/4.
Answer:
W = mgh
W = 226290 x 9.8 x 9
W = 19958778Joules
W= 19.958778MegaJoules
Step-by-step explanation:
Work to full the tank is
W = mgh.
m is the mass of the water.
But density = mass/volume, where volume is the volume of the complete the remaining half full of water to fill the cylindrical tank.
mass = density x volume.
Volume of cylinder = πr2h
Volume to fill the cylinder = (πr2h)/2.(half of total volume)
Volume = (22x4x4x9)/(7x2). Height used is 18/2 = 9m
Volume = 226.29m3.
Mass = density x volume= 1000 x 226.29 = 226290kg
Therefore, the work is
W = mgh
W = 226290 x 9.8 x 9
W = 19958778Joule = 19.958778MegaJoules
B. 8 is the answer.
Simplify to 2^4^(3/4) then 2^3 then that simplies to 8
