Answer:
100.8lb
Step-by-step explanation:
Firstly , we need to write the proportionality sign.
We were told weight is inversely proportional to distnace from earth's centre, this can be written as follows:
W ∝1/d^2
Removing the proportionality sign, and introducing the constant of proportionality yields:
W = k/d^2
W.d^2 = k
We now calculate the value of this constant as follows ;
115 × (3978)^2 = k
k = 1,819,815,660
We use this value now in calculating her weight above the surface of the earth.
We know she is 271mi above the earth's surface, her distance from the center of the earth would now be = 271 + 3978 = 4,249mi
We now use the relation again to calculate:
W.d^2 = k
w = k/d^2
w = 1,819,815,660/(4249)^2
w = 100.8 lb
Answer:
Step-by-step explanation:
Volume of pyramid V= 1/3a^2×h
a = 24 and h = 20
V = 1/3 × 24^2 × 20
V = 1/3 × 576 × 20
V = 3840cubic ft
Radius = 100m
Circumference of a circle = 2πr
= 2 × π× 100
=628.31m
Answer:
Domain: allrealnumbers
Range: f(x) <= -8
Step-by-step explanation:
This equation shows that this shape is a parabola that is opening downwards (because of the negative in the -5/6)
This means it has a highest point. The x+2 means the curve is shifted/slid/tranlated to the right 2 units and the -8 at the end shows that it is slid/shifted/translated down 8 units. So the curve only exists starting from -8 and going down. That is the range f(x) <= -8
All upward and downward opening parabolas have a domain of all real numbers.
Answer:
The y-intercept is 0 because it pass through the zero on the y - axis