Which expression has a value greater than 43?
1 answer:
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Answer:
A. Slope is -12 feet per second
B. Yes, it is constant.
<u>Skills needed: Linear Equations, Substitution and Division</u>
Step-by-step explanation:
1) Solving Part A (we need to find the slope):
- The slope is
-->
,
,
, and
are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.
2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:
- ==>
==>
==>
, so the slope is -12.
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1) Part B (analysis)
We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.
Answer:
Mass of the cat = 16800kg
Step-by-step explanation:
The volume of the box = its length * its breath * its height- 4m × 3m × 2m = 24
The standard density of water is 1000 Kg/
By Archimedes principle, the mass of a body floating body is equivalent to the mass of the volume liquid displaced
in this case we have
Mass of water displaced = Density of the water × Volume of the water displaced = 1000 Kg/ × 24
= 24000kg
The mass of the box = Box density × Box volume = 24 × 300kg/
= 7200 kg Hence the mass of water displaced = mass of the foating box + mass of th cat
24000kg = mass of cat +7200kg
mass of cat = 24000kg - 7200kg = 16800kg