Answer:
Step-by-step explanation:
time taken to reach the max height is expressed according to the projectile equation;
tmax = u/g
Given u = 30m/s
g is the acceleration due to gravity = 9.81
t = 30/9.81
t = 3.0secs
hence it will take the flare 3.06secs to reach its maximum height.
Max height = u²/2g
Max height = 30²/2(9.81)
Max height = 900/19.62
Max height = 45.87m
If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m
Answer:
x = .87, or when approximated to a fraction, 27/31
y = -3.67, or when approximated to a fraction, -1287/350
Step-by-step explanation:
Lets start by rewriting out our equations
2x + 7y = -24
18x + y = 12
Lets solve for a y value; the second equation is easiest, as the y value has no coefficient (the number that is multiplied times a variable). To do this, lets move the 18x to the other side. Now our two equations look like:
2x + 7y = -24
y = -18x + 12
Next, lets plus the second equation into the first equation in regards to y.
2x + 7(-18x + 12) = -24
Now, lets solve!
2x -126x + 84 = -24
Then, combine your terms!
-124x = -108
Divide by (-124)!
x = -108/-124
x = 27/31
Now that we know x, lets plug this back in to the first equation to find y!
2(27/31) + 7y = -24
1.74 + 7y = -24
7y = -25.74
y = -3.67, or when approximated to a fraction, -1287/350
Answer:
Step 1: Distribute 
to 
and 
Step 2: Subtract from both sides of the equation 
Step 3: Add to both sides of the equation 
Step 4: Divide both sides of the equation by 
Step-by-step explanation:
Step 1: Apply the Distributive Property. Then you must distribute to and
Then:
Step 2: You must apply the Subtraction property of Equality and subtract from both sides of the equation. Then:
Step 3: You must apply the Addition property of Equality and add to both sides of the equation. Then:
Step 4: You must apply the Division property of Equality and divide both sides by . Then:
Answer:
Saturday=403 tickets
Step-by-step explanation:
1246-314-529=403
Answer:
Step-by-step explanation:
We need to evaluate if thickness of a 10 gauge metal sheet is a requiered in the process that means 3.416 mm thick. So that should be our null hypothesis; μ₀ = 3.416 and based on sample data, we will formulate an alternative hypothesis taking into account the mean, and standard deviation obtained. We surely will have better information to take a decision
