Answer:
y=3x-2
Step-by-step explanation:
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.
<h3><u>
Answer:</u></h3>
33480783
<h2><u>
Step-by-step explanation:</u></h2>
<u>Finding the Common Ratio:</u>
We know that the formula for the common ratio of a GP is:
r = aₙ / (aₙ₋₁) <em>(Where n is any integer)</em>
<em>replacing the values, taking n=2</em>
r = -21 / 7
r = -3
<u>Solving for the 15th Term:</u>
We know that the Formula for the nth term of a GP:
G(n) = a * r ⁿ⁻¹ <em>(where a is the first term and r is the common ratio)</em>
<em>replacing the values (taking n = 15 since we need the 15th term)</em>
G(15) = 7 * (-3)¹⁴
G(15) = 33480783
Hence, the 15th term of the given GP is 33480783
Answer:
(b) It is symmetrical about 
Step-by-step explanation:
Given

See attachment for options
Required
True statement about the graph
First, we check the line of symmetric

Expand

Open bracket


A quadratic equation
has the following line of symmetry

By comparison, the equation becomes:



Hence, the line of symmetry is at: 
(b) is true.
#1). The length of the whole circumference is (π · D) = 12π .
120° is 1/3 of 360°, so arc-AB is 1/3 of the whole circumference.
#2). 60° is 1/6 of 360°.
So arc-CD is 1/6 of the whole circumference (which is given).
#3). The circumference of the circle is (π·D) = 20π .
70° is (70°/360°) of the whole circle, so arc-XY
is (70/360) of the whole circumference.
#4). Sorry, I don't remember anything right now about
angles between chords.
I hope what I've given you so far is worth 5 points.