Answer:
The hour hand is three-fourths of the way from the "4" to the "5; that is, ... What is the angle between the hour hand and the minute hand at 4:40? ... What is the measure of the smaller angle formed by the hands of an analog watch if the hour hand is on the ... One has to account, however, for the 10 minutes that have passed.Step-by-step explanation:
Answer:
1.Exact Form: 67/6
Decimal Form: 11.167
Mixed Number Form: 11 1/6
2. 2 9/10
3. Exact Form: −1/3
Decimal Form: −0.3333
The individual-size box of cereal is a rectangular prism with a volume of 44.625 inches³.
<h3>What is the volume of a rectangular prism?</h3>
The volume of rectangular prism of length l, width w and height h is given by:
V = lwh.
In this problem, the standard dimensions are:
- l = 3(1/2) = 3 + 0.5 = 3.5 inches.
- w = 8(1/2) = 8 + 0.5 = 8.5 inches.
The individual-size box has a 1/10 of the volume of the original box, hence:
V = 0.1 x 3.5 x 8.5 x 15 = 44.625 inches³.
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
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Hope this helps...
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Generally what I like to do, to solve questions like this is to substitute the given answers into the equation to solve this faster...
Equation: x^2 + 10x + 12 = 36
A.) (-12)^2 + 10(-12) + 12 = 36
144 - 120 + 12 = 36
24 + 12 = 36
36 = 36
(2)^2 + 10(2) + 12 = 36
4 + 20 + 12 = 36
24 + 12 = 36
36 = 36
Since we found the answer with the first try, we already know the correct answer is A.
So...
The Correct answer is: A.) x=-12 or x=2
SOLUTION
We have been given the equation of the decay as

So we are looking for the time
Plugging the values into the equation, we have

Taking Ln of both sides, we have

Hence the answer is 4308 to the nearest year