Achemical substance has a decay rate of 6.9% per day. the rate of change of an amount n of the chemical is given by the equation dn/dt = - 0.069 n where t is the number of days since decay began. complete parts a) through c). a) let n_0 represent the amount of the chemical substance at t = 0. find the exponential function that models the situation. n(t) = n_0 b) suppose that 800 g of the chemical substance is present at t = 0. how much will remain after 2 days? after 2 days, g will remain. after 2 days, g will remain. (round to the nearest whole number as needed.) c) after how many days will half of the 800 g of the chemical substance remain? after days, half of the chemical substance will remain. (round to one decimal place as needed.)

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step-by-step explanation:

use that smart brain

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: