Answer:

Time for bacteria count reaching 8019: t = 2.543 hours
Step-by-step explanation:
To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:




Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:


Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.
Answer:
(-4/3)y
Step-by-step explanation:
The x cancels out, leaving:
-4y/3 or (-4/3)y
Something to remember is how to multiply terms with same bases, but different exponents:

Essentially, we add the exponents.
Using the information above, we can find our answer:

Our answer is
, or A.
Circumference of circle = π × Diameter
= π × 18 cm
= 56.54867 or 56.54 to 1 dp
Given equation of the Circle is ,
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .