Answer:
<h2>18.750kg</h2>
Step-by-step explanation:
If a mass of 2.5 grams costs a penny, we want to know the amount of mass that will cost $75. Before we get the mass, we need to convert 75 dollars to penny. Using the conversion:
$1 = 100pennies
$75 = (75*100)pennies
$75 = 7,500 pennies
Using the law of equivalence
1 penny = 2.5 grams
7,500pennies = x grams
Cross multiply
1 * x = 2.5 * 7500
x = 18,750 grams
Hence 18,759 grams will cost $75
Converting grams to kilograms
If 1000 grams = 1kg
18,750grams -= y
cross multiply
1000*y = 18750
Divide both sides by 1000
1000y = 18750/1000
y = 18.750kg
<em>Hence the amount in kilogram of $75 coin in pennies is 18.750kg</em>
Hi there!

**Recall that tangent is Opposite / Adjacent**
tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:
- tan (-5π / 6) is in the third quadrant which would mean that the value would be positive 1 / √3. This choice is incorrect.
- tan (7π / 6) is the same as tan (-5π / 6), which is positive 1 / √3. This choice is incorrect.
- cot (5π / 6) is the reciprocal of tan 5π / 6, which is incorrect.
- tan (-π / 6) is equal to -1 / √3. This choice is correct.
Therefore, the correct choice is tan (-π / 6).
Answer:

Step-by-step explanation:
If you map the sequence out, you get the following values:
a = 1, a(n) = 2
a = 2, a(n) = -3
a = 3, a(n) = -8
As you can see, the first term is 2 and the sequence is decreasing by 5 each time. Therefore, the answer is D.
Find the area of each face and add them all together, or since a cube has 6 faces, you can multiply the area of one face by 6.
Answer:

Step-by-step explanation:
Given
f(x) = 
Finding f(-1) means, we have to put -1 in the places of x in the function,
So, putting x=-1 in the function

As the power 3 is odd, the minus will remain the same, while in the 2nd term minus will be eliminated due to even power. So,
=> 
=> 1
Hence,
