Suggest a differential equation for which y vt is a solution
a quantity y y(t) is said to follow an exponential growth if it increases at a rate which is proportional to the amount present. assuming that the initial amount of the quantity present is yo we arrive at the following initial value problem. dy ky (k> 0) dt (1) y(0) = yo (a) solve the ivp using separation of variables (b) definition: the time it takes for the amount of the quantity to double its origi nal amount is called the doubling time, tp. show that the half-life for a quantity which follows the exponential decay model in 2 is tp (c) in a certain nutrient culture, a cell of the bacterium e. coli divides into 2 every 10 minutes. let y y(t) be the number of cells that are present t minutes after 6 cells are placed in the culture. assume that the growth of the bacteria obeys exponential growth. find a formula for y(t) and then use your model to determine how long (in minutes) it will take for the bacterial population to reach 600

y > 1/3x

y < = -x + 4

hope this : )

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

a is 8.b is 10.c is 10.5. d is -.5

step-by-step explanation:

just minus the smallest number from the biggest.

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.