D(x) = 32x......ur range will be ur d(x) values and the domain will be ur x values.....where d(x) = total distance and x = gallons.
So we already know that ur car's fuel tank holds 17 gallons....therefore, ur domain has to be 17 gallons or less...but it cant be negative.
so ur domain is : 0 < = x < = 17
now for ur range....since the car only holds 17 gallons....d(x) = 32(17) = 544 miles....thats the farthest it can go...therefore it can go from 0 to 544 miles....so ur range is : 0 < = d(x) < = 544
or u could write it as : domain = (0,17) with 0 representing an empty tank and 17 representing a full tank.....and ur range = (0,544) with 0 representing 0 miles driven and 544 representing 544 miles driven
Answer:
area of triangle
= 1/2 × base × height
= 1/2 × 3 units × 4 units
= 6 units²
Answer:
11 seconds
Step-by-step explanation:
If the height h(t) of the sunglasses after t seconds is given by the polynomial function
h(t)=-16t²+1936
The sunglasses will hit the ground when the height h(t)=0
h(t)=-16t²+1936=0
-16t²+1936=0
-16t²=-1936
t²=1936/16=121
t=√121=11 seconds
The Sunglasses will hit the ground 11 seconds after it is dropped by the pilot.
The <em>total</em> area of all six faces of the tunnel is 
square centimeters.
<h2>Procedure - Surface area of a tunnel for a toy train</h2>
The surface area of the solid (
) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).
<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>
We calculate the surface area as following:
![A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)](https://tex.z-dn.net/?f=A%20%3D%202%5Ccdot%20%5Cfrac%7B%5Cpi%7D%7B2%7D%20%5Ccdot%20%5B%2810%5C%2Ccm%29%5E%7B2%7D-%288%5C%2Ccm%29%5E%7B2%7D%5D%20%2B%20%5Cpi%5Ccdot%20%288%5C%2Ccm%29%5Ccdot%20%2830%5C%2Ccm%29%20%2B%20%5Cpi%5Ccdot%20%2810%5C%2Ccm%29%5Ccdot%20%2830%5C%2Ccm%29%20%2B%202%5Ccdot%20%282%5C%2Ccm%29%5Ccdot%20%2830%5C%2Ccm%29)
The <em>total</em> area of all six faces of the tunnel is square centimeters. 
To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293
Answer:
V = 65.19
Step-by-step explanation:
Remark
You need r. You can get it from the circumference of the circular base.
Once you have that, the formula is Area = 1/3 pi r^2 j
Givens
C = 20.236
h = 6 feet
Formulas
C = 2 pi r
Volume = 1/3 pi r^2 h
Solution
Find r from C = 2 pi r
20.236 = 2 * 3.14 * r Combine the right
20.236 = 6.28 * r Divide by 6.28
20.236/6.28 = 6.28 * r / 6.28
3.222 = r
Now that you have r, you can solve for the volume
V = (1/3) pi 3.222^2 * 6 Square r
V = 1/3 * pi * 10.381 * 6 Now multiply through by all, but pi
V = 20.762 pi
V = 65.194
