The volume of a cylinder is pi*height*radius^2 = pi*5*(14/2)^2 = 769.69 ft^3. To get the total gallons multiply 769.69 ft^3 by 7.5gal/ft^3 to get 5772.6765 gallons or 5773 gallons rounded to nearest whole number.
Answer:
![3x-2y=2](https://tex.z-dn.net/?f=3x-2y%3D2)
Step-by-step explanation:
The equation of line having slope
and passing through
.
![The\ equation\ of\ line\ is\ given\ by\ y=mx+c\ where\ m\ is\ the\ slope\ of\ line.\\\\Here\ m=\frac{3}{2}\\\\Equation\ y=\frac{3}{2}x+c\\\\Line\ passes\ through\ (-4,-7),\ it\ will\ satisfy\ the\ equation\ of\ line.\\\\-7=\frac{3}{2}\times (-4)+c\\\\-7=-6+c\\\\c=-7+6\\\\c=-1\\\\y=\frac{3}{2}x-1\\\\2y=3x-2\\\\3x-2y=2](https://tex.z-dn.net/?f=The%5C%20equation%5C%20of%5C%20line%5C%20is%5C%20given%5C%20by%5C%20y%3Dmx%2Bc%5C%20where%5C%20m%5C%20is%5C%20the%5C%20slope%5C%20of%5C%20line.%5C%5C%5C%5CHere%5C%20m%3D%5Cfrac%7B3%7D%7B2%7D%5C%5C%5C%5CEquation%5C%20y%3D%5Cfrac%7B3%7D%7B2%7Dx%2Bc%5C%5C%5C%5CLine%5C%20passes%5C%20through%5C%20%28-4%2C-7%29%2C%5C%20it%5C%20will%5C%20satisfy%5C%20the%5C%20equation%5C%20of%5C%20line.%5C%5C%5C%5C-7%3D%5Cfrac%7B3%7D%7B2%7D%5Ctimes%20%28-4%29%2Bc%5C%5C%5C%5C-7%3D-6%2Bc%5C%5C%5C%5Cc%3D-7%2B6%5C%5C%5C%5Cc%3D-1%5C%5C%5C%5Cy%3D%5Cfrac%7B3%7D%7B2%7Dx-1%5C%5C%5C%5C2y%3D3x-2%5C%5C%5C%5C3x-2y%3D2)
Answer : A it is decreased by $70,000
Federal reserve sells $70,000 in treasury bonds to a bank.
Removing cash decreases the money supply . Money supply decreases when exchanging for bonds. That is the immediate effect on money supply.
Federal reserve sells $70,000 . so money supply is decreased by $70,000
Answer:
The sum of reciprocals is 2/3.
You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.
Step-by-step explanation:
a+b = 2
a*b = 3
1/a + 1/b = x
(a*b)*(1/a + 1/b) = (a*b)x
b + a = (a*b)(x)
2 = 3x
x = 2/3
b = 2 - a
a*(2 - a) = 3
-a^2 + 2a = 3
-a^2 + 2a - 3 = 0
a^2 - 2a + 3 = 0
let's solve the quadratic equation
a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0
(a - 1)^2 = -2
![a_1 - 1 = \sqrt{2}i\\a_1 = 1+\sqrt{2}i\\\\a_2 - 1 = -\sqrt{2}i\\a_2 = 1 - \sqrt{2}i\\](https://tex.z-dn.net/?f=a_1%20-%201%20%3D%20%5Csqrt%7B2%7Di%5C%5Ca_1%20%3D%201%2B%5Csqrt%7B2%7Di%5C%5C%5C%5Ca_2%20-%201%20%3D%20-%5Csqrt%7B2%7Di%5C%5Ca_2%20%3D%201%20-%20%5Csqrt%7B2%7Di%5C%5C)
these options correspond to a and b from the original question.
The answer for Group A. is 0.080 or 0.08
the answer for Group B. 1.07 or 1.070