Step-by-step explanation:
so, we find the slope-intercept form :
y = ax + b
"a" is the slope (it is always the factor of x), "b" is the y-intercept (the y-value when x = 0).
we have the slope : -6
and the given point (0, -10) gives us already the y-value when x = 0 : -10
therefore, the equation is
y = -6x - 10
Answer:
4
Step-by-step explanation:
5
Answer:
15.1 mm²
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
(where r is the radius and h is the height)
Given:
Substitute given values into the formula:
⇒ Lateral surface area = 2π(1.2)(2)
= 4.8π
= 15.1 mm² (nearest tenth)
All multiples of 10 end in a zero besides the number zero. So 10, 20, 30 and so on....
Answer:
Step-by-step explanation:
Amount of brine = 100 gal
amount of salt = 80 lb
rate of water running = 4 gal / min
Let A be the amount of salt in lb in the tank at any time t.
(a) dA/dt = rate of salt in - rate of salt out
Rate of salt in = 0
rate of salt out = A x 4 / 100 = A / 25 lb/min
So, dA/dt = 0 - A/25 = - A/25 lb/min
When t = 0, A = 80 lb
So,
(b) Now, A = 40 lb
So,
take log on both the sides
t = 17.3 minutes
