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Answer:</h2>
The type of reasoning which starts with a given set of rules and conditions to determine what must be true is:
Deductive Reasoning.
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Step-by-step explanation:</h2>
Deductive Reasoning--
It is a logical reasoning that starts with a general set of premises or statements and reach to a specific conclusion.
It is different from the inductive reasoning in the way that the inductive reasoning starts with a set of specific set of rules and reach to a general conclusion.
Answer:
Part a. 1400 unit²
Part b 1240 unit²
Part c 1333.33 unit²
Step-by-step explanation:
The given function is 20·x - x²
Part a.
The dimensions of the five rectangles are;
20 × 20 + 20 × 18 + 20 × 16 + 20 × 10 + 20 × 6 = 1400 unit²
Part b.
The dimensions of the ten rectangles are;
10×20 + 10×18 + 10×16 + 10×16 + 10×14 + 10×12 + 10 × 10 + 10 × 8 + 10 × 6 + 10 ×4 = 1240 unit²
Part c.
To find the area with an infinite number of rectangles, we can use limits similar to integration;

Which gives;
10×20^2 - (20^3)/3 = 4000/3 = 1333.3333
ANSWER
The mass of the needle to the nearest hundredth of a gram is

EXPLANATION
The mass of the sewing needle is

We want to round the mass of this needle to the nearest hundredth.
This is the same as rounding to two decimal places.
When we count to the right after the decimal point, the second decimal place falls on the 8. Therefore the hundredth digit is 8.
The the next digit after 8 is 5, so we need to round up to get,
Answers:
Vertex is (-1,0)
Axis of symmetry is x = -1
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Explanation:
F(x) = 3(x+1)^2
is the same as
y = 3(x-(-1))^2 + 0
which is in the form
y = a(x-h)^2 + k
We can see that
a = 3
h = -1
k = 0
Therefore the vertex is (h,k) = (-1,0)
The axis of symmetry is x = h = -1 which is the equation x = -1
The axis of symmetry in this case is a vertical line through the vertex.
Answer: I think so
Step by step: