Answer:
P(n)= p0 + 11(n)
Where p0= population of week 0
P(n) = population of n weeks
n= number of weeks
Step-by-step explanation:
Population of beetles in Week 0= 6
Population of beetles in Week 7= 83
From week 0 to week 7 there are 8 weeks.
But subtracting population of week 0 from population of week 7 gives
= 83-6
= 77
After the subtraction, we have 7 weeks remaining.
Dividing the remaining population by the number of weeks remaining
=77/7
= 11
For n number of weeks, population p of beetles
P(n)= p0 + 11(n)
Where p0= population of week 0
P(n) = population of n weeks
n= number of weeks
Answer: x = 3
Step-by-step explanation:
When the base is the same, the exponents are the same:
3-2x = -x
solve fore x
add 2x to both sides
3-2x = -x
+2x +2x
x = 3
x¹ = -2 x² = -8
y¹ = -1 y² = 12
Using midpoint formula,
M = ( x¹ + x²/2 ,y¹ + ý²/2)
or,M ={ -2+(-8)/2 , (-1) +12/2}
or, =( -10/2 , 11/2)
:M = ( -5 , 11/2)
Answer:
we know that
the equation of the circle is of the form
(x-h)^2+(y-k)^2=r^2
where
(h,k) is the center of the circle
r is the radius of the circle
in this problem we have
(x+5)^2+(y-k)^2=r^2
so
the center is the point (-5,3)
the radius is 4 units
therefore
the answer is
The radius of the circle is equal to 4 units
Answer:
19/42
Step-by-step explanation:
multiply each fraction by the opposite denominator to get the same denominator for both 12+7=19 &6×7=42