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Step2247
1 month ago
6

What is the density of the solid object that is weighed and submerged in water? The object's weight is 8.24g and is placed in a

beaker filled with 18.5 mL of water. When It is placed in the water, it rises to 23.1 mL.
Mathematics
1 answer:
Zina [12.3K]1 month ago
7 0

Density (D) is calculated as mass (m) divided by volume (v).
                                   D = m / v
The volume change is determined by measuring the water level before and after the object is introduced to the beaker,
                                   v = 23.1 mL - 18.5 mL = 4.6 mL
Substituting into the density formula,
                                   D = 8.24 g / 4.6 mL = 1.79 g/mL
Therefore, the density is roughly 1.79 g/mL. 

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Which shows the factored form of x2 – 12x – 45?
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Hello!

(x+a)·(x+b) equals x²+xa+xb+ab which simplifies to x²-12x-45

x² equals x²
xa+xb can be expressed as (a+b)x = -12x thus, (a+b) = -12
ab equals -45

Under what conditions do (a+b) equal -12 and ab equal -45?

+3-15 results in -12 while (+3)(-15) gives -45
-3-15 yields -18 and (-3)(-15) results in +45
+3+15 produces +18 and (+3)(+15) also equal to +45
-3+15 equals +12 and (-3+15) results in -45

Conclusion:

(x+3)(x-15) 



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