5g=230
=5. /5
g=46
so 5 is the coiffieficent which mean 5 multiplie a variable. so to get the g by itself we must divide both sides by 5. 5 cancels out 5. And 230÷5 is 46. That mean g is equal to 46.
At hour one, there is 1 organism. At hour two, there is five more organism. At hour three. there will be 6 x 5 = 30 more organisms, etc
This is a geometric sequence with a = 1 (i.e. number of organisms at hour one), r = 5 (number of reprications per hour).
The total number of organisms at hour seven is the sum of the first seven terms of the sequence given by a(r^n - 1)/(r - 1) = 1(5^7 - 1)/(5 - 1) = (78125 - 1)/4 = 78124/4 = 19,531
Answer:
Step-by-step explanation:
Given points P(1, -1, 4), Q (4,2,1) vector equation of a line joining the points with position vectors r₀ and r₁ is:
r = (1 - t)r₀ + tr₁
where
t ∈ [0, 1]
and r₀ = P = (1, -1, 4)
r₁ = Q = (4, 2, 1)
r(t) = (1 - t)
+ t



∴
The vector equation
where t ∈ [0,1] is:
r(t) = (1+3t)i - (1+3t)j + (4 - 3t)k
The parametric equation is:
x(t) = 1 + 3t
y(t) = -1 + 3t
z(t) = 4 - 3t
(x(t), y(t), z(t) ) = ( 1 + 3t, -1 + 3t, 4 - 3t )
Answer: 
=====================================
Work Shown:
6x-y = -3 is the same as 6x-y+3 = 0
6x-y+3 = 0 is the form Ax+By+C = 0 with A = 6, B = -1, C = 3.
The distance d that line is from the point (p,q) = (6, 2) is found by the following

Answer:
x=9
Step-by-step explanation:
3x-2=25
Add 2 to each side
3x-2+2=25+2
3x = 27
Divide by 3
3x/3 = 27/3
x = 9