To solve this question, I did an equation:
0.75x + 1.20y = 120
0.75(95) + 1.20(35) = 120
Then multiply:
71.25 + 42 = 120
Now to check:
71.25 + 42 = 113.25
Answer: 120 - 113.25 = $6.75 Hope this helps
Answer:
Recursive formulas give us two pieces of information:
The first term of the sequence
The pattern rule to get any term from the term that comes before it
So I think A.Pattern
Answer: it moves at a constant speed and stays in the same direction
Step-by-step explanation:
It does this because there is no friction or nothing pushing on it therefore there is nothing to slow it down or speed it up
Answer:
The answer is 15%.
Step-by-step explanation:
The probability that:
- Both treatments are successful:
80% x 90% = 72%
- The first method is a success, but the second one is not:
80% x (1 - 90%) = 8%
- The first method is not successful, but the second one is:
(1 - 80%) x 25% = 5%
- Both treatments are unsuccessful:
1 - (72% + 8% + 5%) = 15%
Answer:
dy/dx = -1/√(1 - x²)
For 0 < y < π
Step-by-step explanation:
Given the function cos y = x
-siny dy = dx
-siny dy/dx = 1
dy/dx = -1/siny (equation 1)
But cos²y + sin²y = 1
=> sin²y = 1 - cos²y
=> siny = √(1 - cos²y) (equation 2)
Again, we know that
cosy = x
=> cos²y = x² (equation 3)
Using (equation 3) in (equation 2), we have
siny = √(1 - x²) (equation 4)
Finally, using (equation 4) in (equation 1), we have
dy/dx = -1/√(1 - x²)
The largest interval is when
√(1 - x²) = 0
=> 1 - x² = 0
=> x² = 1
=> x = ±1
So, the interval is
-1 < x < 1
arccos(1) < y < arxcos(-1)
= 0 < y < π
