Answer:
We conclude that the value of the constant of proportionality.
Step-by-step explanation:
We know that if 'y' varies directly with 'x', we use the equation
y ∝ x
y = kx
where 'k' is called the constant of proportionality.
Given the equation
y = 14x
comparing with the equation
y = kx
Thus,
k = 14
Therefore, we conclude that the value of the constant of proportionality.
Check the picture below.
so the pentagonal prism in the picture is been seen from the bottom, namely so we can see its base, however the base is at the bottom, what does that mean, it means that the pentagonal bases are the top and bottom of the prism, that matters, because the other sides are the lateral sides.
so, if we notice, the lateral sides are really just 5 rectangles, each one a 12x4, so if we simply get the area of all those rectangles.
5(12 * 4) = 240 in².
Answer:
The mammoth died 17.190 years ago.
Step-by-step explanation:
Given information:
- Half-life of C-14 is 5.700 years.
- Living elephant bones commonly contain about 40% C-14.
For every 5700 years, the elephant's bones losses a half-life of C-14. And supposing that the living mammoth bones had the same percentage of C-14.
If the mammoth when living has 40%, then:
- After 5.730 years, the mammoth bones will contain 20%.
- After 11.460 years(2 half-lives), the mammoth bones will contain 10%.
- After 17.190 years(3 half-lives), the mammoth bones will contain 5%.
<span>To calculate the average; add up all the numbers, then divide by how many numbers there are. In this case, there are 5 numbers; personal, small, medium, large, and extra large.
</span>8 + 10 + 12 + 14 + 16 / 5 --> 60/5 = 12
Answer: 
and

Step-by-step explanation:
Equation for a Circle

h= -2 k= 4 r= 4

Part 2
Complete the Square
