Answer:
m = - 3
Step-by-step explanation:
a³ + 27 ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
a³ + 27
= a³ + 3³
= (a + 3)(a² - 3a + 9)
comparing a² - 3a + 9 to a² + ma + 9, then
m = - 3
Let us assume that the given speed is in miles per hour.
A race car is driven by a professional driver at 99 mph.
We have to find the speed in kilometer per hour and kilometer per minutes
As 1 mile = 1.61 km
So, 99 miles =
kmph
1 km per hour = 0.0166 km per minute
So, 159.39 kmph =
km per minute
Hence, The speed is equivalent to 159.39 kilometers /hour, or 2.645 kilometers/minutes .
We know that
Half-life is modeled by the formula
An=A0*(0.5)<span>^[t/h)]
where
An----------> </span>is the amount remaining after a time t
A0----------> is the initial quantity
t------------> is the time
h------------> is the half-life of the decaying quantity
in this problem
h=1601 years
A0=50 g
An=?
t=100 years
An=A0*(0.5)^[t/h)]---------> An=50*(0.5)^[100/1601)]-----> 47.88 gr
the answer is 47.88 g
First, Michelle exercises for thirty minutes every day.
If Michelle exercises for 30 minutes for 5 days, this would 30 × 5.
30 × 5 = 150 minutes