Answer:
((100−35)/100)×5.5 grams =
Step-by-step explanation:
There are several ways you can do this. The equation above shows you subtracting 35% from 100% before you convert the result to a fraction. That is an appropriate expression for solving the problem.
___
The other offered choices do not respect either the order of operations or the units of the problem. (The first and third choices are the same--both wrong.)
Answer:
y = (4/3)x - (22/3)
Step-by-step explanation:
If it's parellel than they have the same slope.
m = 4/3
y = mx + b
y = (4/3)x + b
2 = (4/3)(7) + b
(6/3) = (28/3) + b
-(28/3) -(28/3)
(-22/3) = b
Answer:
a) -tan(π/4) = -1
b) -1/sin(π/3) = -(2/3)√3
Step-by-step explanation:
The given functions are reciprocals of the primary trig functions:
cot(x) = 1/tan(x)
csc(x) = 1/sin(x)
The tangent function has a period of π, and is equal to the cotangent of the complementary angle.
__
<h3>a)</h3>
The given angle is an alias of -π/4, so we can write ...
cot(7π/4) = cot(-π/4) = -cot(π/4) = -tan(π/2 -π/4) = -tan(π/4)
-tan(π/4) = -1
__
<h3>b)</h3>
csc(-π/3) = 1/sin(-π/3) = -1/sin(π/3) = -1/(√3/2) = -2/√3
-1/sin(π/3) = -2√3/3
Answer:
Step-by-step explanation:
This problem is a maximization problem
the objective is to maximize profit
let software program be x
and video program be y
the objective function is
60x+45y>P-------1
constrains
300x+200y<400------2
we can further reduce the expressions
3x+2y<4-----2
