Answer:
.
Step-by-step explanation:
The minimun distance between a point and a plane is the perpendicular distance. The formula is
d = 
where
, A=4, B=3, C=1 and D=-10. So, the distance is
d = 
d = 
d =
.
In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.
y = mx + b
y = 2x + 15
slope(m) = 2 and y int (b) = 15
The initial amount is the y intercept, which is 15. The rate of change (the slope) is 2
example :
baskets picked in 1 hr :
y = 2(1) + 15
y = 2 + 15
y = 17
baskets picked in 2 hrs :
y = 2(2) + 15
y = 4 + 15
y = 19
so the slope ( rate of change) is basically saying for every hr of picking, you pick 2 baskets...so your picking 2 baskets per hr.
The y intercept (15) is telling us that they already had 15 baskets to start with.
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: x
<
3
Interval Notation:
(
−
∞
,
3
)
Answer:

Step-by-step explanation:
The half life is the amount of time it takes a substance to decay to half of its original amount.
Since the radioactive substance has a half life of 1000 years, there will be half of it left after 1000 years.
So, the fraction that will be left after 1000 years is 