The relationship of the ordered pair that represents Mallory savings is a nonlinear relationship.
Let x represents the number of weeks, and y represents the amount put in the jar, each week.
So, we have the following highlights for 6 weeks.
- Week 1: (1, 1)
- Week 2: (2,2)
- Week 3: (3,4)
- Week 4: (4,8)
- Week 5: (5,16)
- Week 6: (6,32)
The ordered pairs can then be represented as:
As the x values increase, the y values increase too, but the y values do not increase at a constant rate.
This means that the relationship is not linear; it is an exponential relationship.
Hence, the relationship is a nonlinear relationship.
Read more about linear relationships at:
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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.
We know that
the coordinates of point B ( -5,0)
the translation has the following rule
(x,y)--------> (x+5, y-2)
so
(-5,0)-----> (-5+5,0-2)-----> (0,-2)
the answer is
<span>(0, –2) </span>
Answer: 1
Step-by-step explanation:
The nearest whole number would be 1, because the fraction 5/8 to a decimal is 0.625.
Answer:
The answer to your question is: letter A
Step-by-step explanation:
(x + 3) (3x² + 8x + 9) = 3x³ + 8x² + 9x + 9x² + 24x + 27
= 3x³ + 17x² + 33x + 27 Simplify like terms
Α. 3x3 + 17x2 + 33x + 27
Β. 3x3 + 17x2 – 15x + 27
C. 3x2 + x2 + 33x+ 27
D. 3x3 + 17x2 + 33x - 27
