PLEASE HURRY
A biologist estimated the number of cells in a culture sample as 1.3 × 102. One week later, he looked at the same culture sample and estimated that the number of cells had grown to 3.9 × 105.

Determine how many times larger the culture sample was compared to a week earlier.

(3.9 × 105)
(1.3 × 102)

Complete the quotient in scientific notation and find the solution in standard notation.

× =

x = 3 ×10^2

Step-by-step explanation:

To determine how many times larger the culture sample was compared to a week earlier

We divide the values of the present sample to the past sample size

3.9 x 10^5/ 1.3 ×10^2

3.9/1.3 x10^5-3 = 3 ×10^2

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form