Answer:
The correct statement would be: The positive number is 1/2 unit less than the opposite of the negative number.
Step-by-step explanation:
All stamemts are true except for the last one:
<em>The positive number is 1/2 unit more than the negative number.</em>
We can see in the plot that 1.5 is above zero and -2 is below zero.
So, -2<1.5
The opposite number of -2 is 2 and we can see that opposite number is 1/2 greater than 1.5. So, -2<1.5<2
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Answer:
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere is given by the following equation:

In which r is the radius.
Implicit derivatives:
This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So

The radius of a sphere is increasing at a rate of 4 mm/s.
This means that 
How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?
This is
when
. So



The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
(0,1)(2,7)
slope(m) = (7-1) / (2-0) = 6/2 = 3
y = mx + b
slope(m) = 3
use either of ur points...(0,1)....x = 0 and y = 1
now sub and find b, the y int
1 = 3(0) + b
1 = b
so ur equation is : y = 3x + 1....or 3x - y = -1
Answer:
The answer is D
Step-by-step explanation:
because if you measure and solve it you get supplementary angles. Also all the angles total equal to 360.
Answer:
x = 1 and x = 
Step-by-step explanation:
In this equation, a=5, b=-1, c=-4.
Plug these into the quadratic formula:
x =
and x = 
Now, simplify the equations:
x =
=
=
= 1
and
x =
=
=
= 