Answer:
D. 0.166
Step-by-step explanation:
A. and B. when divided by 1/3 result in whole numbers and C. when divided by 1/3 results in a negative which is not irrational but D. results in a fraction.
A) Measurement of People's Left foot (in inches):
30, 34, 35, 38, 40
Measurement of People's forearm (in inches):
14, 17, 18, 21, 23
b) My Two points = (30, 14) & (34, 17)
Rate of change, m = y2-y1/x2-x1
m = 17 - 14 / 34 - 30
m = 3 / 4
c) In order to form an equation, take any point, let say (14, 30)
y - y1 = m(x - x1)
y - 30 = 3/4 (x - 14)
y - 30 = 3x/4 - 10.5
y = 3x/4 + 19.5
Where, y = Length of left foot
x = Length of forearm
When x = 17 ft, it would be:
y = 3(17) / 4 + 19.5
y = 12.75 + 19.5
y = 32.25 Ft
Hope this helps!
Answer:
T₂ = 421.4 K
Step-by-step explanation:
The temperature, T, of a given mass of gas varies inversely with its Volume,V.
![T\propto \dfrac{1}{V}\\\\V_1T_1=V_2T_2](https://tex.z-dn.net/?f=T%5Cpropto%20%5Cdfrac%7B1%7D%7BV%7D%5C%5C%5C%5CV_1T_1%3DV_2T_2)
We have,
V₁ = 98 cm³, T₁ = 28° C = (28+273) K = 301 K
V₂ = 70 cm₃
We need to find the new temperature of the gas. Using the above relation to find T₂.
![T_2=\dfrac{V_1T_1}{V_2}\\\\T_2=\dfrac{98\times 301}{70}\\\\T_2=421.4\ K](https://tex.z-dn.net/?f=T_2%3D%5Cdfrac%7BV_1T_1%7D%7BV_2%7D%5C%5C%5C%5CT_2%3D%5Cdfrac%7B98%5Ctimes%20301%7D%7B70%7D%5C%5C%5C%5CT_2%3D421.4%5C%20K)
Hence, the required temperature of the gas is 421.4 K.
Answer:
19.209 miles from each other.
Step-by-step explanation:
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20)
Using this we get:
![{15}^{2} + {12}^{2} = {x}^{2}](https://tex.z-dn.net/?f=%20%7B15%7D%5E%7B2%7D%20%20%2B%20%20%7B12%7D%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20)
![225 + 144 = 369 = {x}^{2}](https://tex.z-dn.net/?f=225%20%2B%20144%20%3D%20369%20%3D%20%20%7Bx%7D%5E%7B2%7D%20)
![\sqrt{369 } = 19.209](https://tex.z-dn.net/?f=%20%5Csqrt%7B369%20%7D%20%20%3D%2019.209)