So what I did was the terms that were alike like this: (5x -19x)+(20y+36y)+4.27xy+9.11. Then I simplified and got -14x+56y+4.27xy+9.11. The terms 4.27xy and 9.11 were not in ()'s because they were the only ones with an alike term. Hope that helps and also try to doing the steps and see what you get. If you get it wrong look to see where you messed up and try again! If I am wrong please notify me, I would appreciate it!
Answer:
Step-by-step explanation:
You have a half sphere and a cylinder.
Trick question! Note that the diameter of the cylinder is in meters, while the height is given in centimeters.
For cylinder:
radius r = 5 m
height h = 6 cm = 0.06 m
volume = πr²h = π(5²)(0.06) = 1.5π m³
For sphere:
radius r = 5 m
volume of sphere = (4/3)πr³
volume of half sphere = (2/3)πr³ = (2/3)π5³ = (250/3)π m³
Total volume = 1.5π + 250π/3 ≅ 266.5 m³
Answer:
−3x^8 + 9x^2 + 10x
Step-by-step explanation:
A polynomial is in standard form when the exponents of the variable decrease left to right. The only given expression in that form is ...
−3x^8 + 9x^2 + 10x
Answer: 36.66min
Step-by-step explanation:
y = 47.38 + 0.617x
where y is the number of dollars
x is the number of minutes on the job
Given a value of y = $70, then
We substitute y = $70 in the equation.
70 = 47.38 + 0.617x
22.62 = 0.617x
X = 22.62/0.617 = 36.66min
Given:
and 
where 
.
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
Where, d is the common difference.
We have,
Here, d=9.
The first term of the AP is .
The explicit formula for an AP is:
Substituting and 
, we get
Therefore, the required explicit formula for the given sequence is .
