Functions can be defined using graphs, tables, and ordered pairs. What is the range of a function? Group of answer choices
2 answers:
Answer:
The range is the output.
Step-by-step explanation:
A function consists of two parts:
1. Domain - Domain is the set of all values that are inputted to a function. So, domain is set of all possible values of .
2. Range - It is the set of all output values for given input values. It is the set of all possible values of for given
values.
Therefore, range is the output to a function.
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Answer:
101.1%
Step-by-step explanation:
The two batteries are in the shape of cylinder.
The total surface area of a cylinder
SA = (2πr^2 + 2πrh ) =
For AAA battery
h = 0.8mm
r = 1.9 mm
SA = (2π(1.9)^2 + 2π × 1.9 × 0.8 )
SA = 22.68 + 9.55
SA = 32.23 mm^2
For AA battery
h = 1 mm
r = 2.75 mm
SA = (2π(2.75)^2 + 2π×2.75× 1 )
SA = 47.52 + 17.28
SA = 64.80 mm^2
Increase in SA = 64.80 - 32.23
Increase in SA = 32.57
% increase = increase in SA/AAA × 100
% increase in SA = 32.57/32.23 × 100
% increase in SA = 101.1%
Answer:
x = 1,2909 ml (point where Brooke beaches her kayack)
Step-by-step explanation:
I did not find the indicated picture. I design one (See picture in Annex)
The route to follow by Brooke is x₁ + x₂ and as we need to express total time.
s (distance) = velocity* time then time t = distance / velocity
x₁ = √ (5)² + x² ⇒ x₁ = √( 25 + x² )
and x₂ = ( 6 - x )
x₁ = distance in kayack ( speed 2 ml/h)
x₂ = distance walking ( speed 4 ml/h)
Then total time as a function of x is
t(x) = √( 25 + x² ) / 2 + ( 6 - x ) / 4
Taking derivatives on both sides of the equation we get
t´(x) = 2x* (2) / 4 *√( 25 + x² ) - 1/4
t´(x) = 0 2x* (2) / 4 *√( 25 + x² ) - 1/4 = 0 x/√( 25 + x² ) - 1/4 = 0
x/√( 25 + x² ) = 1/4
x = √( 25 + x² ) /4
x² = (25 + x² ) /16
16*x² = 25 + x²
15x² = 25 x = 1,2909 ml (point where Brooke beaches her kayack)
Then walking distance is x₂ = 6 - 1.2909 x₂ = 4.71 ml
There is a total of 10 marbles, of which 5 marbles are red.
Therefore the second choice is the correct answer.
Therefore the second choice is the correct answer.