Answer:
what set of numbers??
you haven't provided any set of numbers
Answer:
20 units
Step-by-step explanation:
Initial particle concentration = 80 units
Particles removed each hour = 50% of the remaining particles
To find:
Particle concentration after 2 hours = ?
Solution:
Particles removed in 1 hour = 50% of remaining particles
i.e. Particles removed in 1 hour = 50% of initial concentration
Particles removed in 1 hour = 50% of 80 = 40
Particles removed in next 1 hour = 50% of remaining particles
i.e. Particles removed in next 1 hour = 50% of concentration after 1 hour
Particles removed in next 1 hour = 50% of 40 = 20
Total particles concentration removed in 2 hours = 40 + 20 = 60 units
Therefore, particle concentration after 2 hours = Initial concentration - Total particle concentration removed in 2 hours
= 80 - 60 = <em>20 units</em>
Answer:
y = x² + 18x + 94
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 9, 13) and letting a = 1, then
y = (x + 9)² + 13 ← expand (x + 9)² using FOIL
= x² + 18x + 81 + 13
= x² + 18x + 94
You are given the following. The translation of g of x is equal to y is 1 plus the quantity 1.5 raised to the power of x is equal to g(x) = y = 1 + (1.5ˣ). The translation of the straight line f of x joins ordered pairs (4, 1) and (2, -3). The straight line p(x) joins the ordered pairs (0, 2) and (1, -5).
To get the equation of f(x), apply point - slope formula.(4, 1) and (2, -3)y - y1 = m(x - x1)y - 1 = (-3 -3/ 2 - 4)(x - 4)y - 1 = 3(x - 4)y - 1 = 3x - 12y = 3x - 11
To get the equation of p(x), apply point - slope formula.(0, 2) and (1, -5)y - y1 = m(x - x1)y - 2 = (-5 - 2/ 1 - 2)(x - 0)y - 2= 7(x)y = 7x + 2
To answer part A, equate the functions of f(x) and p(x)3x - 11 = 7x + 24x = -13x = -13/4
substitute this answer to any of the two functions to get yy = 3x - 11y = 3(-13/4) - 11y = -83/4
The solution is then <u><em>(-13/4, -83/4)</em></u>.
*~"AB84"~*
