Answer:
Step-by-step explanation:
x^2+4x+3=0
x^2+4x+4=7
(x+2)^2=7
square root
x+2=sqrt7
x=-2sqrt7
Volume of the conical tank = 1/3pi*r^2 * h = 1/3pi * (10/2)^2 * 15 = 125pi cubic feet or 392.7 cubic feet = 392.7 * 7.48 gallons = 2937 gallons.
Volume of the hemispherical tank = 2/3pi * r^3 = 2/3pi * (5.5)^3 = 348.5 cubic feet = 348.5 * 7.8 gallons = 2606 gallons
Hence the conical tank will contain more chemicals
Answer:
Step-by-step explanation:
AD = CD { BD is median}
6x + 10 = 2x + 12
6x -2x = 12 - 10
4x = 2
x = 2/4
x = 1/2
AC= AD + CD
= 6x + 10 + 2x +10 {add the like terms}
= 8x + 20 { Now plugin the value of x}

= 4 + 22
= 26
Answer:
.88
Step-by-step explanation:

The standard deviation is the square root of the variance.
Answer:
10000×(1+5%)^(15×2)=43219.4238