Answer:
21.......celcius scale is used....as the thermometer shows 100...and water boils at 100 degree Celsius.....( shown that water is boiling)...
22......liquid to gas
<u>Step-by-step explanation:</u>
transform the parent graph of f(x) = ln x into f(x) = - ln (x - 4) by shifting the parent graph 4 units to the right and reflecting over the x-axis
(???, 0): 0 = - ln (x - 4)
![\frac{0}{-1} = \frac{-ln (x - 4)}{-1}](https://tex.z-dn.net/?f=%5Cfrac%7B0%7D%7B-1%7D%20%3D%20%5Cfrac%7B-ln%20%28x%20-%204%29%7D%7B-1%7D)
0 = ln (x - 4)
![e^{0} = e^{ln (x - 4)}](https://tex.z-dn.net/?f=e%5E%7B0%7D%20%3D%20e%5E%7Bln%20%28x%20-%204%29%7D)
1 = x - 4
<u> +4 </u> <u> +4 </u>
5 = x
(5, 0)
(???, 1): 1 = - ln (x - 4)
![\frac{0}{-1} = \frac{-ln (x - 4)}{-1}](https://tex.z-dn.net/?f=%5Cfrac%7B0%7D%7B-1%7D%20%3D%20%5Cfrac%7B-ln%20%28x%20-%204%29%7D%7B-1%7D)
1 = ln (x - 4)
![e^{1} = e^{ln (x - 4)}](https://tex.z-dn.net/?f=e%5E%7B1%7D%20%3D%20e%5E%7Bln%20%28x%20-%204%29%7D)
e = x - 4
<u> +4 </u> <u> +4 </u>
e + 4 = x
6.72 = x
(6.72, 1)
Domain: x - 4 > 0
<u> +4 </u> <u>+4 </u>
x > 4
(4, ∞)
Vertical asymptotes: there are no vertical asymptotes for the parent function and the transformation did not alter that
No vertical asymptotes
*************************************************************************
transform the parent graph of f(x) = 3ˣ into f(x) = - 3ˣ⁺⁵ by shifting the parent graph 5 units to the left and reflecting over the x-axis
Domain: there is no restriction on x so domain is all real number
(-∞, ∞)
Range: there is a horizontal asymptote for the parent graph of y = 0 with range of y > 0. the transformation is a reflection over the x-axis so the horizontal asymptote is the same (y = 0) but the range changed to y < 0.
(-∞, 0)
Y-intercept is when x = 0:
f(x) = - 3ˣ⁺⁵
= - 3⁰⁺⁵
= - 3⁵
= -243
Horizontal Asymptote: y = 0 <em>(explanation above)</em>
Answer:
V = 2 144.66058485063 m³
Step-by-step explanation:
Formula : ( volume V of a sphere of radius r )
![V\ =\ \frac{4}{3} \times \pi \times r^{3}](https://tex.z-dn.net/?f=V%5C%20%20%3D%5C%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%20r%5E%7B3%7D)
Therefore
![V\ =\ \frac{4}{3} \times \pi \times 8^{3}](https://tex.z-dn.net/?f=V%5C%20%20%3D%5C%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%208%5E%7B3%7D)
![V\ =\ \frac{4}{3} \times \pi \times 512](https://tex.z-dn.net/?f=V%5C%20%20%3D%5C%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%20512)
⇒ V = 2 144.66058485063 m³ (use a calculator)
2.98 ÷ 10.5 = .28
8.99 ÷ 27.8 = .32
The best deal is the 10.5 ounce package since the cost is 28 cent an ounce.
I highly recommend using the unit circle; the answer is 1/2.