Answer:
h = -t+20
After 8 hours the candle will be 12 inches
Step-by-step explanation:
We have 2 points (time, inches)
(3,17) and (5,15)
We can find the slope
m = (y2-y1)/(x2-x1)
= (15-17)/(5-3)
= -2/2
= -1
We can use point slope form
y-y1 = m(x-x1)
Replace y with h and x with t
h-17 = -1 (t-3)
Distribute
h-17 = -t+3
Add 17 to each side
h-17+17 = -t+3+17
h = -t+20
After 8 hours
h = -t+20
h = -8+20
h= 12
Let's call dimes x and the quarters x+3 since we have 3 more of them.
x+x+3=45
2x=42
x=21
we have 21 dimes and 23 quarters
21*0.10=2.1
23*0,25=5.98
if we add those together it equals 8.08
Answer:
244.0476
Step-by-step explanation:
1.5/100 is 0.015 and time 16,269.84 United States Dollar is 244.0476
Answer:
Choice B: A triangle
Choice C : A shape with two edges, one straight and one curved
Step-by-step explanation:
When a cone is cut by a plane that runs exactly through its vertex, and perpendicular to its base, the shape that is obtained is an isosceles triangle, when the section is viewed.
When a cone is cut through a plane that runs perpendicularly to its base, but not through its vertex, we can get two different shapes which have parabolas or hyperbolas as their curved edge, and a straight edge which is formed from the base of the cone
![x(t)=\int_0^6(2*e^ \frac{t}{2}-6})\ dt=\left[4*e^ \frac{t}{2}-6t\right]_0^6\\\\ =e^3-36-4=4e^3-40\approx{40.3421...}\\\\](https://tex.z-dn.net/?f=x%28t%29%3D%5Cint_0%5E6%282%2Ae%5E%20%5Cfrac%7Bt%7D%7B2%7D-6%7D%29%5C%20dt%3D%5Cleft%5B4%2Ae%5E%20%5Cfrac%7Bt%7D%7B2%7D-6t%5Cright%5D_0%5E6%5C%5C%5C%5C%20%3De%5E3-36-4%3D4e%5E3-40%5Capprox%7B40.3421...%7D%5C%5C%5C%5C)