In this problem, we are asked to give an expression that can be used to mentally multiply 6 and 198. In order not to go through the rigorous multiplication, we can estimate 198 to 200, that is 6 *200 equal to 1200. Since there is a 2*6 excess or 12 then we subtract: 1200 -12 equal to 1188.
Answer:
x = 0
Step-by-step explanation:
Subtract 25x^2 from both sides
24x^2 + bx^2 - 25x^2 - 25x^2
Simplify
bx^2 - x^2 = 0
Factor bx^2 - x^2: x^2(b - 1)
bx^2 - x^2
Factor out common term x^2
= x^2 (b - 1)
x^2(b - 1) = 0
Using the Zero Factor Principle: If ab = 0 then a = 0 or b = 0
x^2 = 0
Apply rule x^n = 0 x = 0
x = 0
Answer:
k= -1
Step-by-step explanation:
the remainder is 32, f(3)=3(3)*2 + 2(3) + k = 32
f(3)=27 + 6 + k = 32
k=32-33
k= -1
Answer:
201.1 radians per minute
Step-by-step explanation:
The formula for Angular speed of tires in radians per minute =
1 revolutions per minute = 2π rad/min
32 revolutions per minute = x
x = 32 revolutions per minutes × 2 π radians per minute
x = 201.06192983 radians per minute
Approximately
x = 201.1 radians per minute
Therefore, the angular speed of the tires in radians per minute is 201.1 radians per minute
