V = s²h
<span>150 = s²h </span>
<span>150 = s²(3/2)s </span>
<span>(2/3)150 = s³ </span>
<span>100 = s³ </span>
<span>s = ∛100 (approx 4.642 in) </span>
People who picked up vanilla cupcakes = 80% x 53
<u> 80% x 53 = 0.8 x 53 = 42 people </u>(nearest whole number)
42 people picked vanilla cupcakes
Volume of a sphere = 4/3πr³
<u>4/3πr³ = 4/3π(7)³ = 1436.8 cm³</u>
The volume of the sphere is 1436.8 cm³
Fluid ounces are a unit of capacity
According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
<h3>How to apply translations on a given function</h3>
<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:
Horizontal translation
g(x) = f(x - k), k ∈
(1)
Where the translation goes <em>rightwards</em> for k > 0.
Vertical translation
g(x) = f(x) + k, k ∈
(2)
Where the translation goes <em>upwards</em> for k > 0.
According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
To learn more on translations: brainly.com/question/17485121
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56 / 4 = 14
4 can go into 56 on 14 times...