9514 1404 393
Answer:
Step-by-step explanation:
The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...
r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours
__
a) After 4 hours, the amount remaining is ...
r(4) = 1450·0.75^4 ≈ 458.79 . . . mg
About 459 mg will remain after 4 hours.
__
b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...
r(t) < 5
1450·0.75^t < 5 . . . . use the function definition
0.75^t < 5/1450 . . . . divide by 1450
t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)
t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t
t > 19.708
It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.
Answer:
Therefore,the required factors are ( x - 16 ) and ( x + 3 )is
Step-by-step explanation:
Given:
To Factorize:
Solution:
First remove the factor of -48 such that you multiply the two number, the Product should be -48 and the SUM should be -13.
-48 = -16 × 3
Here, -16 and 3 are the two required numbers
now the given expression we will split the middle term and Factorize the given equation.
Therefore,the required factors are ( x - 16 ) and ( x + 3 )
Y=4 and I'm not sure on the second one sorry
Answer:
SAS
Step-by-step explanation:
4(x-3)-2+2x=5(3x-7)-9x
4x-12-r+2x=5(3x-7)-9
4x-12-r+2x=15x-35-9x
6x-12-r=15x-35-9x
6x-12-r=6x-35
add 12 to -35 which equals -23.
add 6x+6x it cancels out to 0.
-r=-23
to make r positive just add it -23
since 23 is already negative it would become a positive because a negative + negative= positive
answer: r=23
