The temperature of an enclosure for a pet corn snake should be an average of 81° F. For the well-being of the corn snake, the te
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Answer:
x = π/3, x = 5π/3, x = 4π/3
Step-by-step explanation:
Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.
Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.
Similarly:
The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.
So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.
Answer: 700.067 g
Step-by-step explanation:
Given : The pharmacist uses 67mg, 100g and 0.6 kg of drug to compound 3 separate prescription.
We know that 1 gram= 1000 milligram
and 1 kilogram = 1000 grams
Then, By UNITARY METHOD,
Now, We convert each amount of drug into grams as ,
AND
Now, the total drug used by Pharmacist (in grams) =
Hence, Pharmacist used 700.067 g of total drug.