Answer:
the total value of the liquid in the container is $29.4
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
The volume of a cone is expressed as
V=1/3(πr²h)
Given data
Height h= 9 inches
Radius r= diameter/2= 2.5/2= 1.25in
Substituting we have
V= 1/3(3.14)*(1.25)²*9
V= 1/3*(3.14)*14.06
V= 44.156/3
V= 14.7in³
The volume of the cone is 14.7in³
Hence If 1 in³ of liquid costs $2
14.7in³ will cost $x
x= 14.7*2
x= $29.4
Answer:
ok
Step-by-step explanation:
The factorization of the expression of 43x³ + 216y³ is
(7x + 6y)(49x² - 42xy + 36y²)
Step-by-step explanation:
The sum of two cubes has two factors:
1. The first factor is
+ ![\sqrt[3]{2nd}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2nd%7D)
2. The second factor is (
)² - (
) (
) + (
)²
Ex: The expression a³ + b³ is the sum of 2 cubes
The factorization of a³ + b³ is (a + b)(a² - ab + b²)
∵ The expression is 343x³ + 216y³
∵
= 7x
∵
= 6y
∴ The first factor is (7x + 6y)
∵ (7x)² = 49x²
∵ (7x)(6y) = 42xy
∵ (6y)² = 36y²
∴ The second factor is (49x² - 42xy + 36y²)
∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)
The factorization of the expression of 43x³ + 216y³ is
(7x + 6y)(49x² - 42xy + 36y²)
Learn more:
You can learn more about factors in brainly.com/question/10771256
#LearnwithBrainly
<span>If x = Jamal's age , 2x = Wilma's age , x - 3 = Tim's age.
The sum of the ages is 17.
Jamal's age is 5
Wilma's age is 10
Tim's age is 2
Hope this helps!</span>
I’m not sure what the choices are so I don’t know what the correct answer is but expressions that could be equivalent are
r+r+t+r
3r+t