Using translation concepts, it is found that there was a horizontal compression of the function.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, there was a multiplication in the domain of the function, by a factor greater than 1, hence there was a horizontal compression of the function.
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The height (h) of the rectangular prism is: 1.9 feet.
<h3>How to Find the Volume of a Rectangular Prism?</h3>
A rectangular prism has a length (l), height (h), and a width (w). The volume of the rectangular prism is calculated using the formula given as: V = (length)(width)(height).
Given the following parameters:
Volume of the rectangular prism = 30.45 ft^3,
Length (l) = 6.3 ft,
Width (w) = 2.5 ft.
Height of the rectangular prism (h) = ?
Plug in the values
(6.3)(2.5)(h) = 30.45
15.75h = 30.45
15.75h/15.75 = 30.45/15.75
h ≈ 1.9 ft
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Answer:
0.125
Step-by-step explanation:
You multiply 2^4 by 2^-7
It took them 4 days to install 480 chairs which means if they were working at a constant rate they got 120 chairs installed daily. with 360 chairs left that means in 3 days they will finish. so overall, it took the workers 7 days to finish, or a week.
Answer:
Step-by-step explanation:
Since there exists a scalar
λ
λ
(namely
λ=a⋅b
λ=a⋅b
) such that
b=λa
b=λa
, the directions of the two vertices are the same (they are collinear). This implies that
|a⋅b|=|a||b|
|a⋅b|=|a||b|
.
So,
|a|=|(a⋅b)b|=|a||b||b|
|a|=|(a⋅b)b|=|a||b||b|
which implies that
|b|=1
|b|=1