Answer:
x = 3
y = 4
hey, I am not 100% sure of the certainty of my answers, I am using what I remember about that topic but I do not know if it is right or wrong, I hope I have helped you, I did what I could.
Step-by-step explanation:
-3x + 2y = 23
5x + 2y = -17
X solution:
(you cancel the y)
-3x = 23
5x = -17
(you combine all the values above with those below)
2x = 6
(solve the ecuation normaly)
x = 6/2 = 3
Y solution:
(you replace the x)
-3(3) + 2y = 23
5(3) + 2y = -17
-9 + 2y = 23
15 + 2y = -17
(you combine all the values above with those below)
6 + 4y = 6
(solve the ecuation normaly)
4y = 0
y = 4
(I do not really know if the answer here is 0 or 4 since when passing the 4 to divide it would be 0/4 and I do not understand very well how that is solved)
Answer:
The answer is 1.833 radians
Answer:
172.83 kg
Step-by-step explanation:
A cylindrical container has a radius (r) of 0.3 meter and a height (h) of 0.75 meter and density of 815 kg/m³.
The density of a substance is the mass per unit volume, it is the ratio of the mass of a substance to the volume occupied. The density is given by the formula:
Density = Mass / volume
The volume of a cylinder is given as:
V = πr²h
V = π × (0.3)² × 0.75 = 0.212 m³
Density = Mass/ volume
Mass = Density × Volume
Mass = 815 kg/m³ × 0.212 m³
Mass = 172.83 kg
Answer:
We conclude that the machine is under filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 436.0 gram
Sample mean, 
= 429.0 grams
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 23.0 grams
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.
This is a system of equations. You can solve it by substitution or elimination. I'm going to use substitution x - 2y = -4.5; add 2y to each side x - 2y + 2y = -4.5 + 2y; simplify x = 2y - 4.5 2(2y - 4.5) + 3y = 12 4y - 9 + 3y = 12 7y - 9 = 12 7y - 9 + 9 = 12 + 9 7y = 21 y = 3 <--------first answer x - 2y = -4.5 x - 2(3) = -4.5 x - 6 = -4.5 x -6 + 6 = -4.5 + 6 x = 1.5 <--------second answer Check: 2(1.5) + 3(3) = 12? 3 + 9 = 12? 12 = 12; It checks 1.5 - 2(3) = -4.5? 1.5 - 6 = -4.5? -4.5 = -4.5; It checks x = 1.5 and y = 3 <-----------Final Answer
