Answer:
2 plus 3 equals 5 and add the zeros and you have 50
In this question, the volume of the cone is needed. The equation used to determine the volume of the cone is (1/3)π(r²)h
To solve for the volume,
V = (1/3)π(3²)(10)
= (1/3)(9)(10)π
= (3)(10)π
= 30π cm³
The correct answer is the first option which is 30π cm³.
Answer:

Step-by-step explanation:
We need to simplify out the given exponential expression . The given expression to us is ,
We can use the <u>Law of </u><u>Exponents</u> to simplify the given expression . Recall that ,

Note that , we can write ,
Therefore our expression becomes ,
Simpify using the Law of Exponents ,
Open the brackets in exponent ,
Simplify to get final expression ,

x = -2
-2 + 2y = -12
add 2 to both sides: 2y = -10
divide by 2 on both sides: y = -5
when x = -2, y = -5
The correct answer is 16737 mg
Explanation:
The first step to solve this problem is to convert the weight to kilograms because the dosage of the antibiotic is given in milligrams per kilo. This can be done by multiplying the pounds by 0.453 considering each pound is equal to 0.453 kilos. The process is shown below:
123 lb x 0.453 = 55.791 kg
Now, simply multiply the kilos by the recommended dose:
55.791 kg x 300 mg/kg = 16737 mg
Also, this can be converted to grams by dividing the number into 1000 (1000 mg = 1 g)
16737mg ÷ 1000 = 16.737 grames