Answer:
y = 4x
Step-by-step explanation:
When we say that x and y "vary directly", we mean that they have the relationship: y = kx, where k is a "constant of proportionality".
Here, we want to know what k is, so we plug 4 in for x and 16 in for y:
y = kx
16 = k * 4
k = 16/4 = 4
Thus, our equation is y = 4x.
Answer:
100 of the baloon will fill up the tank
Step-by-step explanation:
use volume of sphere formula ;
(pi/6) x diameter cubed
write your answer to 1 decimal place
then divide the volume of tank bye the volume of the baloon
you'll get 100, if you rounded up your answer to 1 decimal place
Answer: - 8.89%
I am going to explain you in detail ir order to help you to be able to do this kind of problems by yourself.
The definition of percent change, %, is:
change
% = ---------------- * 100
base value
The base value is from where you start or the value for which you want to asses the variation.
So, in this case the base value is 90 (starting value).
The change is final value - initial value = 82 - 90 = - 8. The negative sign means that the value decreased.
So, following the formula you get:
82 - 90 - 8
% = ----------- * 100 = -------- * 100 = - 8.89
90 90
Answer: the percent of change is - 8.89 %, meaning that the value decreased 8.89%.
Concept:
(1) Curved surface area of cylinder = Circumference of the base × Height of cylinder
(2) Area of the base = Area of circle = π × (radius)²
(3) Circumference of the base = 2×π× (radius)
Consider a right circular cylinder as given in attached figure
Its height (AB) = H
Its radius (OC) = R
Now, we shall calculate the curved surface area of the cylinder (CSA)
(CSA) = Circumference of the base × Height of cylinder
(CSA) = 2×π×R × H = 2πRH -------(i)
Again, we shall calculate the area of the top and bottom circles
Area of the top and bottom (A) = 2× Area of circle
(A) =2×[ π × (radius)²]
or, (A) = 2×π×R² = 2πR²------------(ii)
Now, we shall calculate the surface area or total surface area of the cylinder.
SA = CSA + A
SA = 2πRH + 2πR²
or, SA = 2πR² + 2πRH
This is the required equation.
Answer:
Step-by-step explanation:
For us,
P = 728,
r = .044,
e is Euler's number (a constant), and
t is 16. Filling in:
and
and
V = 728(2.02182385) so
V = $1471.89
