Answer:
First blank: $5
Second blank: $7.50
Third blank: $11.25
Fourth blank: $13.5
Fifth blank: $15.75
Sixth blank: $18.00
Step-by-step explanation:
Half a number is $2.25, so multiply 2.25 times each half.
First blank:$2.25*2=$5.00
Second blank: $2.25*3=$7.50
Third blank: $2.25*5=$11.25
Fourth blank: $2.25*6=13.50
Fifth blank: $2.25*7=$15.75
Sixth blank: $2.25*8=$18.00
9514 1404 393
Answer:
8000π mm^3/s ≈ 25,133 mm^3/s
Step-by-step explanation:
The rate of change of volume is found by differentiating the volume formula with respect to time.
V = 4/3πr^3
V' = 4πr^2·r'
For the given numbers, this is ...
V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s
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<em>Additional comment</em>
By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.
<span>2/3 (x-7)= -2
x - 7 = -2 * 3/2
x - 7 = -3
x = -3 + 7
x = 4</span>
