The first term is 2 and the common ratio = -8/2 = -4
S7 = 2 * (-4)^7 - 1
------------- = 6554 answer
-4-1
Answer:
i dont know what it means but the right image is 4 times larger than the left image
Step-by-step explanation:
Answer:
The correct answer is third option
x = 3
Step-by-step explanation:
It is given that,
4ˣ = 8⁽ˣ ⁻ ¹⁾
<u>To find the value of x</u>
4ˣ = (2²)ˣ
8⁽ˣ ⁻ ¹⁾ = (2³)⁽ˣ ⁻ ¹⁾
4ˣ = 8⁽ˣ ⁻ ¹⁾
(2²)ˣ = (2³)⁽ˣ ⁻ ¹⁾
2²ˣ = 2⁽³ˣ ⁻ ³⁾
2x = 3x - 3
3x - 2x = 3
x = 3
The correct answer is third option
x = 3
Answer:
D. 1.6 yd
Step-by-step explanation:
Use the law of sines.
![\dfrac{c}{\sin C} = \dfrac{a}{\sin A}](https://tex.z-dn.net/?f=%20%5Cdfrac%7Bc%7D%7B%5Csin%20C%7D%20%3D%20%5Cdfrac%7Ba%7D%7B%5Csin%20A%7D%20)
![\dfrac{c}{\sin 28^\circ} = \dfrac{2~yd}{\sin 36^\circ}](https://tex.z-dn.net/?f=%20%5Cdfrac%7Bc%7D%7B%5Csin%2028%5E%5Ccirc%7D%20%3D%20%5Cdfrac%7B2~yd%7D%7B%5Csin%2036%5E%5Ccirc%7D%20)
![c = \dfrac{2~yd \times \sin 28^\circ}{\sin 36^\circ}](https://tex.z-dn.net/?f=%20c%20%3D%20%5Cdfrac%7B2~yd%20%5Ctimes%20%5Csin%2028%5E%5Ccirc%7D%7B%5Csin%2036%5E%5Ccirc%7D%20)
![c = 1.6~yd](https://tex.z-dn.net/?f=%20c%20%3D%201.6~yd%20)
<h2>
Length of track is 168 meter</h2>
Step-by-step explanation:
Let l be the length of track.
Running speed = 4 m/s
Jogging speed = 2 m/s
Total time taken = 2 minutes 6 seconds. = 126 seconds
That is
![\frac{l}{4}+\frac{l}{2}=126\\\\0.75l=126\\\\l=168m](https://tex.z-dn.net/?f=%5Cfrac%7Bl%7D%7B4%7D%2B%5Cfrac%7Bl%7D%7B2%7D%3D126%5C%5C%5C%5C0.75l%3D126%5C%5C%5C%5Cl%3D168m)
Length of track is 168 meter