5 - 10 x = 3
10 x = 5 - 3
10 x = 2
x = 10 : 5
x = 0.2
The rate is : 0.2 gallons / minute
5 - t * 0.2 = 0
t * 0.2 = 5
t = 5 : 0.2
t = 25 min
Answer: After 25 minutes the container will be empty.
Answer:
The required vector parametric equation is given as:
r(t) = <3cost, 3sint>
For 0 ≤ t ≤ 2π
Step-by-step explanation:
Given that
f(x, y) = <2y, -sin(y)>
Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form
(x - 0)² + (y - 0)² = r²
Which is
x² + y² = 9
Because
cos²β + sin²β = 1
and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write
x = 3cosβ
y = 3sinβ
So that
x² + y² = 3²cos²β + 3²sin²β
= 9(cos²β + sin²β) = 9
That is
x² + y² = 9
The vector parametric equation r(t) is therefore given as
r(t) = <x(t), y(t)>
= <3cost, 3sint>
For 0 ≤ t ≤ 2π
Answer:
12
Step-by-step explanation:
3 x 4 = 12
Answer: My guess is $4.55
Step-by-step explanation:
2.50 + 1.75 = 4.25 (This is the total of everything you bought)
4.25 x 0.07= 0.2975 (0.2975 is 7% of 4.25 but because this is money I will round it to <em>0.30</em>)
(0.30 is the tax so now add it to the original amount)
$4.25 + $0.30 = $4.55
I hope this helps, pls tell me if my way of answering is wrong
Answer:
2x-3y=4
x-2y=4