a sequence is a function whose domain is the set of natural numbers.
natural numbers are all the negative and positive integers
1.The temperature will be, T2= 169.8 K
2. The volume if the temperature is 318 K is 0.170 L
<h3>What is Charles Law?</h3>
Charles's law, a statement that the volume occupied by a fixed amount of gas is directly proportional to its absolute temperature, if the pressure remains constant.
Given: V1= 250 ml=0.25L
V2=150 ml= 0.15 L
T1= 10 °C=283 K, T2=?
Now using Charles law
V1/T1=V2/T2
0.25/283=0.15/T2
T2= 169.8 K
2. T1= 20 °C= 293 K
V1= 160 cm³
T2= 318 K
V2=?
Using Charles Law,
V1/T1=V2/T2
0.16/293=V2/313
0.170 L=V2
Learn more about charles law here:
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Answer:
1. (a)4:1 (b)1:81 (c)9:25
2. (a)2:3 (b)4;5 (c)7:16
3. (a)3:5 (b)3:5 (c)9:25
Step-by-step explanation:
1. Given the ratio of similitude of two similar triangles, the ratio of their areas is the <u>square of the ratio of similitude.</u>
(a)2:1
Ratio of Area
![=2^2:1^2\\=4:1](https://tex.z-dn.net/?f=%3D2%5E2%3A1%5E2%5C%5C%3D4%3A1)
(b)1:9
Ratio of Area
![=1^2:9^2\\=1:81](https://tex.z-dn.net/?f=%3D1%5E2%3A9%5E2%5C%5C%3D1%3A81)
(c)3:5
Ratio of Area
![=3^2:5^2\\=9:25](https://tex.z-dn.net/?f=%3D3%5E2%3A5%5E2%5C%5C%3D9%3A25)
2. Given the ratio of the areas of the sides of two similar polygons, the ratio of the sides is the ratio of the square root of their areas.
(a)4:9
Ratio of Sides ![=\sqrt{4} :\sqrt{9}=2:3](https://tex.z-dn.net/?f=%3D%5Csqrt%7B4%7D%20%3A%5Csqrt%7B9%7D%3D2%3A3)
(b)16:25
Ratio of Sides ![=\sqrt{16} :\sqrt{25}=4:5](https://tex.z-dn.net/?f=%3D%5Csqrt%7B16%7D%20%3A%5Csqrt%7B25%7D%3D4%3A5)
(c)49:256
Ratio of Sides ![=\sqrt{49} :\sqrt{256}=7:16](https://tex.z-dn.net/?f=%3D%5Csqrt%7B49%7D%20%3A%5Csqrt%7B256%7D%3D7%3A16)
3.Lengths of the Diameter are 6 and 10.
Diameter = Radius/2
Therefore, their radii are 3 and 5.
(a)Ratio of their Radii =3:5
(b)Since the circumference is still a length, Ratio of their Circumference =3:5
(c)Ratio of their Areas
![=3^2:5^2\\=9:25](https://tex.z-dn.net/?f=%3D3%5E2%3A5%5E2%5C%5C%3D9%3A25)
Answer:
Step-by-step explanation:
y = 85x+90
1 ) 85*1 = 85 + 90 = 175
2) 85*2= 170+90= 260
Just keep multiplying 85 times each number and add 90
(I would do it all for more points)
Answer:
5006 is and 4896
Step-by-step explanation:
math is the best letsgoooo