Answer:
33/16
Step-by-step explanation:
x = y⁴/8 + 1/(4y²), 1 ≤ y ≤ 2
dx/dy = y³/2 − 1/(2y³)
Arc length is:
s = ∫ ds
s = ∫ √(1 + (dx/dy)²) dy
s = ∫₁² √(1 + (y³/2 − 1/(2y³))²) dy
s = ∫₁² √(1 + y⁶/4 − ½ + 1/(4y⁶)) dy
s = ∫₁² √(½ + y⁶/4 + 1/(4y⁶)) dy
s = ∫₁² ½ √(2 + y⁶ + 1/y⁶) dy
s = ∫₁² ½ √(y³ + 1/y³)² dy
s = ∫₁² ½ (y³ + 1/y³) dy
s = ½ (y⁴/4 − 1/(2y²)) |₁²
s = ½ (16/4 − 1/8) − ½ (1/4 − 1/2)
s = 33/16
Answer:
Step-by-step explanation:
You need to set up a ratio for the original recipe and then use that ratio for the new one.
If we need 3 cups of flour for every 4 cups of sugar, we have a 3 c flour/4 c sugar ratio, or 3/4
The new ratio is 9 c of flour for ? c of sugar. Those ratios have to be the same, so we set up an equation like this:
3/4 = 9/?
In order to keep the same ratio, you have to multiply by the same number. Since 3*3 = 9, multiply 4*3 to get your answer.
Answer: The actual price of house sold at $109000.
Step-by-step explanation:
Since we have given that
Selling price = $100000
Rate of commission = 7%
So, Amount of commission would be
Total commission = $7540
So, Remaining amount of commission would be
Rate of commission exceeding $100000 = 6%
Let the selling price of house be 'x'.
According to question,
Hence, the actual price of house sold at
$100000+$9000=$109000.
Answer:
its C
Step-by-step explanation:
Answer:
11/15
Step-by-step explanation:
To find probability, you divide whatever you're looking for over your total. In this case, you have 11 marbles that are not red, and 15 marbles total, so your answer would be 11/15.
