2 and 14/15
Because the first step of subtraction is common denominators
Answer:
- 2
Step-by-step explanation:
3 ( x + 5 ) = 9
x + 5 = 9 / 3
x + 5 = 3
x = 3 - 5
x = - 2
Answer:
The diameter decreases at a rate of 0.053 cm/min.
Step-by-step explanation:
Surface area of an snowball
The surface area of an snowball has the following equation:

In which d is the diameter.
Implicit differentiation:
To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

Surface area decreases at a rate of 3 cm2/min
This means that 
Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.
This is
when
. So




The diameter decreases at a rate of 0.053 cm/min.
Answer:
<h2>The volume of water in the vase is 339.33 in^3</h2>
Step-by-step explanation:
To calculate the volume of water in the vase we need the following parameters
1. the diameter/radius of the vase
2. the height /level of water in the vase
Given data
diameter d= 6 in
radius = d/2= 6/2 = 3 in
height of water h= 12 in
we know that the expression for the volume of a cylinder is given as

Inserting our data we have
