Answer:
cubic units
Step-by-step explanation:
We are given that a region bounded by a curves 
x=4 and about y=5
We have to find the value of volume of the resulting solid
To find the volume of resulting solid we are using cylinder method
Substitute the values of x then we get


y-7=2 and y-7=-2
y=7+2=9 and y=-2+7=5
Radius of cylinder =r=y-5
and height =h=
Using cylinder method and integrate along y -axis from y=5 to y=9
Volume =
volume=
Volume =![2\pi[-\frac{y^4}{4}+19\frac{y^3}{3}-115\frac{y^2}{2}+225y]^9_5](https://tex.z-dn.net/?f=2%5Cpi%5B-%5Cfrac%7By%5E4%7D%7B4%7D%2B19%5Cfrac%7By%5E3%7D%7B3%7D-115%5Cfrac%7By%5E2%7D%7B2%7D%2B225y%5D%5E9_5)
Volume =![2\pi[-\frac{6561}{4}+\frac{625}{4}+19(\frac{729-125}{3})-115(\frac{81-25}{2})+225(9-5)]](https://tex.z-dn.net/?f=2%5Cpi%5B-%5Cfrac%7B6561%7D%7B4%7D%2B%5Cfrac%7B625%7D%7B4%7D%2B19%28%5Cfrac%7B729-125%7D%7B3%7D%29-115%28%5Cfrac%7B81-25%7D%7B2%7D%29%2B225%289-5%29%5D)
Volume=
Volume =
Volume =
Hence, volume of resulting solid =
cubic units
7 1/2 pints into quarts is 3.75
Answer:

Step-by-step explanation:
Given the rational expression:
, to express this in simplified form, we would need to apply the concept of partial fraction.
Step 1: factorise the denominator





Thus, we now have: 
Step 2: Apply the concept of Partial Fraction
Let,
= 
Multiply both sides by (x - 1)(x - 4)
= 

Step 3:
Substituting x = 4 in 





Substituting x = 1 in 





Step 4: Plug in the values of A and B into the original equation in step 2


Answer:
30%
Step-by-step explanation:
I believe it would be 30% chance of the person picked would be Male that has not finished the book as there is a 50% chance of male and 60% chance that they had not read it. You would multiply .5*.6 which would give you .3 and therefor you have a 30% chance that these two problems are met.
Answer:
-10 > (-4x - 6) > -22
Step-by-step explanation:
Given inequality is 5 < 2x + 3 < 11
Now we will multiply this inequality by (-2) resulting,
5(-2) > (2x + 3)(-2) > 11(-2)
-10 > (-4x - 6) > -22 (Sign of inequality gets reversed when the inequality is multiplied or divided by a negative number)
Therefore, the possible range of (-4x - 6) is between -22 and -10.