Answer:
Step-by-step explanation:
(cylinder)
(rectangular prism)
(whole shape)
Answer:
he gave away 5 because if sebastian gave twice as many away and ended up with the same as dylan then it must be 5
90° is equal to or 1.5707 radians.
Step-by-step explanation:
Step 1:
If an angle is represented in degrees, it will be of the form x°.
If an angle is represented in radians, it will be of the form radians.
To convert degrees to radians, we multiply the degree measure by .
For the conversion of degrees to radians,
the degrees in radians = (given value in degrees)().
Step 2:
To convert
90°,
radians.
So 90° is equal to or 1.5707 radians.
Answer:
There is no solution.
Step-by-step explanation:
To solve, use the order of operations. Follow them until you solve for x or just numbers remain.
-(6x + 6) + 2 = -6x - 3
-6x - 6 + 2 = -6x - 3
-6x - 4 = -6x - 3
-4 = -3
The answer is no solution since this is a false statement.
This exponential growth/decay (in this case decay because r<1) of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.
Since the population decreases by 4.5% each year the common ratio is:
r=(100-4.5)/100=0.955 so we can say
P(t)=8500(0.955^t)
....
7000=8500(0.955^t)
14/17=(955/1000)^t taking the natural log of both sides
ln(14/17)=t ln(955/1000)
t=ln(14/17)/ln(955/1000)
t≈4.22 years (to nearest hundredth of a year)
Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.