Answer:
the answer is C.1/3
Step-by-step explanation:
Here is why in mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. Hope this helps. :)
Answer:
see below
Step-by-step explanation:
If we let X represent the number of bagels produced, and Y the number of croissants, then we want ...
(a) Max Profit = 20X +30Y
(b) Subject to ...
6X +3Y ≤ 6600 . . . . . . available flour
X + Y ≤ 1400 . . . . . . . . available yeast
2X +4Y ≤ 4800 . . . . . . available sugar
_____
Production of 400 bagels and 1000 croissants will produce a maximum profit of $380.
__
In the attached graph, we have shaded the areas that are NOT part of the solution set. (X and Y less than 0 are also not part of the solution set, but are left unshaded.) This approach can sometimes make the solution space easier to understand, since it is white.
The vertex of the solution space that moves the profit function farthest from the origin is the one we are seeking. The point that does that is (X, Y) = (400, 1000).
Answer:
-6
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let
be an acute angle.
To solve:
, we take the sine inverse of both sides to obtain:

Recall composition property of a function and its inverse function.

We apply this property to the left hand side to obtain;

We now use our scientific calculator to obtain;

We round to the nearest tenth to obtain;
