Answer:
1 solution
Step-by-step explanation:
-6b = -7b -5
-6b +7b = -5
b = -5
Answer:

Step-by-step explanation:
In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).
The formula we will use for this problem is the following:

where:


a=0

so the volume becomes:

This can be simplified to:

and the integral can be rewritten like this:

which is a standard integral so we solve it to:
![V=9\pi[tan y]\limits^\frac{\pi}{3}_0](https://tex.z-dn.net/?f=V%3D9%5Cpi%5Btan%20y%5D%5Climits%5E%5Cfrac%7B%5Cpi%7D%7B3%7D_0)
so we get:
![V=9\pi[tan \frac{\pi}{3} - tan 0]](https://tex.z-dn.net/?f=V%3D9%5Cpi%5Btan%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20-%20tan%200%5D)
which yields:
]
<span>∵ There is a proportional relationship between the mass and the volume of the places of metal.
Let volume = v and mass = m
So, the relation between volume and mass will take the form:
v = km
where k is constant and can be calculated as follow:
when m = </span><span>34.932 , and v = 4.1 ⇒⇒⇒ k = v/m = 0.117371
</span>when m = 47.712<span> , and v = 5.6 ⇒⇒⇒ k = v/m = </span>0.117371
when m = 61.344 , and v = 7.2 ⇒⇒⇒ k = v/m = <span>0.117371
when m = </span>99.684 , and v = 11.7 ⇒⇒⇒ k = v/m = <span>0.117371
∴ v = 0.117371 m
</span>
For v =<span>15.3
∴ m = v/k = 15.3/0.117371 = 130.356 </span><span>gram
</span>The mass of a piece of this metal that has a volume of 15.3 cubic centimeters ≈ 130.4 gram (<span>round to the nearest tenth</span>)
Answer:
3 3/5 bags
Step-by-step explanation:
We have to find the surface area of the floor of the cage first.
The cage measures 1 yard wide by 6 feet long.
1 yard = 3 feet
The floor of the cage is rectangular, so, the surface area of the floor of the cage is therefore:
3 * 6 = 18 square feet
One bag of shavings covers 5 square feet.
To find the number of bags we need to cover the floor, we divide the surface area of the floor by the number of bags per square feet.
The number of bags needed for the floor of the cage is therefore :
18 / 5 = 3 3/5 bags
Answer:
2944
Step-by-step explanation:
(-22-10)-92
(-32)-92
2944
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