Answer:
k = 42
the constant of proportionality in this inverse variation is 42.
Step-by-step explanation:
Let x represent the number of people that want cake
And y the number of slices each can have;
Since x is inversely proportional to y;
x = k/y .....1
Where k is the proportionality constant;
To solve for k, we will substitute any of the case scenario given into equation 1.
If 14 people want cake, then they can each have 3 slices;
x = 14 , y = 3
substituting;
14 = k/3
k = 14 × 3 = 42
k = 42
the constant of proportionality in this inverse variation is 42.
Therefore,
x = 42/y
The acceleration of the bookshelf is equal to 1.30 
<u>Given the following data:</u>
- Mass of bookshelf = 51.5 kilogram
To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:
Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.
Mathematically, Newton's Second Law of Motion is given by this formula;
Substituting the given parameters into the formula, we have;
Acceleration = 1.30
Read more on net force here: brainly.com/question/1121817
The correct answers are: 1/2, 2 and -2.
To get this, factor f(x)
f(x)=2x^3-x^2-8x+4
f(x)= (2x^3-x^2) - (8x -4)
f(x)= (2x-1)(x^2) + (2x-1)(-4)
f(x)= (2x-1)(x^2-4)
f(x)= (2x-1)(x-2)(x+2)
2x-1=0
2x=1
x=1/2
x-2=0
x=2
x+2=0
x=-2
Answer:
Δ AXY is not inscribed in circle with center A.
Step-by-step explanation:
Given: A circle with center A
To find: Is Δ AXY inscribed in circle or not
A figure 1 is inscribed in another figure 2 if all vertex of figure 1 is on the boundary of figure 2.
Here figure 1 is Δ AXY with vertices A , X and Y
And figure 2 is Circle.
Clearly from figure, Vertices A , X and Y are not on the arc/boundary of circle.
Therefore, Δ AXY is not inscribed in circle with center A.
2.57 + 5x = 25.92 is the equation and when you solve for x you would get x = 4.67
