Answer:
(-1,-2)
Step-by-step explanation:
The solution is where the two lines intersect
The graphs intersect at x=-1, y=-2
(-1,-2)
Answer:
<h2>(90Degree)(0.3Degree/1min) = 300min</h2><h2>since 60min = 1hr</h2><h2>(300min)(1hr/60min) = 5hrs</h2>
Answer:
They will do rounds together again in 11 minutes and 40 seconds.
Step-by-step explanation:
Security A rounds every 2 minutes and 20 seconds in the gate 1.
That is, after 2*60 + 20 = 120 + 20 = 140 seconds.
Security B rounds every 1 minute and 40 seconds in the gate 2.
That is, after 1*60 + 40 = 60 + 40 = 100 seconds.
After how many minutes they will rounds together again?
First, we find this is seconds, which is the least common multiple between 140 and 100. Factoring them by prime factors:
140 - 100|2
70 - 50|2
35 - 25|5
7 - 5|5
7 - 1|7
1 - 1
lcm(140,100) = 2*2*5*5*7 = 700 seconds
They will do rounds together again in 700 seconds, which is 11 minutes and 40 seconds.
<span>The arc length by definition is given by:</span>
<span> S = R * theta</span>
<span> Where,</span>
<span> R: radio</span>
<span> Theta: central angle</span>
<span> Substituting values we have:</span>
<span> S = 10 * (3/2) pi</span>
<span> Rewriting we have:</span>
<span> S = 5 * (3) pi</span>
<span> S = 15pi</span>
<span> Answer:</span>
<span> The arc length is:</span>
<span> <span>S = 15pi</span></span>
Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit
<h3>How to determine how many bead of each type of bracelets and necklaces should Christy make to maximize his profit?</h3>
The given parameters can be represented in the following tabular form:
Bracelet (x) Necklace (y) Total
Labor (hour) 0.5 0.75 40
Profit 10 18
From the above table, we have the following:
Objective function:
Max P = 10x + 18y
Subject to:
0.5x + 0.75y <= 40
Because she wants to make at least 30 bracelets, we have:
x >= 30
So, we have:
Max P = 10x + 18y
Subject to:
0.5x + 0.75y <= 40
x >= 30
Express x >= 30 as equation
x = 30
Substitute x = 30 in 0.5x + 0.75y <= 40
0.5 * 30 + 0.75y <= 40
This gives
15 + 0.75y <= 40
Subtract 15 from both sides
0.75y <= 30
Divide by 0.75
y <= 40
Hence, Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit
Read more about maximizing profits at:
brainly.com/question/13799721
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