Well basically if they lost 8 points and gained 6, they have -2 points.
13. Pick a point and see which formula works.
Ay = -4, A'y = 7. Only the formula of selection D makes that translation.
14. Use the compound interest formula A = P*(1 +r/n)^(nt).
..1500*1.015^80 = 4935.99, matching selection C
15. The lid has a perimeter of 90", so the area of the sides is
.. 90" * 24" = 2160 in^2
The area of the lid is
.. 30" * 15" = 450 in^2
The gray area is (2160 -450) in^2 = 1710 in^2 larger, corresponding to selection C.
16. The only formula that maps (7, -1) to (21, -3) is that of selection D.
_____
The middle two problems are the only ones that require you to have prior knowledge. The others could be answered simply by seeing if the answers work.
Answer:
216
Step-by-step explanation:
I'm sure there is a simpler way to do this but this is how I did it.
First divide 18 by 6 because it triples every 6 hours.
18/6=3
This means it will triple three times
Then triple the value three times
#1. 8x3=24
#2. 24x3=72
#3. 72x3=216
In 18 hours the virus will infect 216 people.
Volume of a sphere and a cone
We have that the equation of the volume of a sphere is given by:
We have that the radius of a sphere is half the diameter of it:
Then, the radius of this sphere is
r = 6cm/2 = 3cm
<h2>Finding the volume of a sphere</h2>
We replace r by 3 in the equation:
Since 3³ = 3 · 3 · 3 = 27
If we use π = 3.14:
Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:
4.18666... ≅ 4.19
Then, we have that:
Then, we have that:
<h2>Finding the volume of a cone</h2>
We have that the volume of a cone is given by:
where r is the radius of its base and h is the height:
Then, in this case
r = 3
h = 6
and
π = 3.14
Replacing in the equation for the volume:
Then, we have:
3² = 9
Answer: the volume of the cone that has the same circular base and height is 56.52 cm³