(p³)(2p² - 4p)(3p² - 1) = (p³)(2p²*3p² - 4p*3p² - 1*2p² - 4p*(-1)) =
= (p³)(6p⁴ - 12p³ - 2p² + 4p)
Answer: A)
Answer:
D. (-x+5)^2/9+(y-4)^2/4=1 (I assume there was a mistype)
Step-by-step explanation:
The first step is isolating the sine and cosine functions.
x=5-3cos(t)
x + 3cos(t) = 5
3cos(t) = 5 - x
cos(t) = (5 - x)/3
y=4+2sin(t)
y - 4 = 2sin(t)
(y - 4)/2 = sin(t)
Then, square at both sides of the equal sign
cos²(t) = (5 - x)²/3² = (5 - x)²/9
sin²(t) = (y - 4)²/2² = (y - 4)²/4
Recall the trigonometric identity and replace.
cos²(t) + sin²(t) = 1
(5 - x)²/9 + (y - 4)²/4 = 1
Let the number of hours = X
Multiply the speed of each train by the number of hours (x) and add them together to equal the total miles:
75x + 95x = 238
Simplify:
170x = 238
Divide both sides by 170:
x = 238/170
x = 1.4 hours.
Check:
75 x 1.4 = 105 miles
95 x 1.4 = 133 miles
105 + 133 = 238 miles
It will take 1.4 hours ( 1 hour and 24 minutes).
Step-by-step explanation:
1 gallons is about 3.785 litres.
Hence, the number of gallons in 50 litres is 50/3.785 ≈ 13.2.
When your doing tax the tax is 9.25 you divide that by 100
the add that to your price then 12.5 divided by 100 and subtract that from what you ended up with so you should come out with a total of 4.22
