I got this picture from photomath, hope it helps
Answer:
A vector's magnitude represents its length, so your answer is C, the length of a vector.
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
I would see a pattern like this
1 4 6 2 5 7 8 9 7 15 41 ?
------------------- ---------
start pattern key
then
15 = 8 × 2 - 1
a10 = a7 × a4 - a1
41 = 9 × 5 - 4
a11 = a8 × a5 - a2
? = 7 × 7 - 6 = 43
a12 = a9 × a6 - a3
Answer:
<h2>24</h2>
Step-by-step explanation:
Given the following logarithmic expressions
, we are to find the value of ![log_a(\frac{x^3y}{z^4} )](https://tex.z-dn.net/?f=log_a%28%5Cfrac%7Bx%5E3y%7D%7Bz%5E4%7D%20%29)
Substituting x = a³, y = a⁷ and z = a⁻² into the log function
we will have;
![= log_a(\frac{x^3y}{z^4} )\\\\= log_a(\dfrac{(a^3)^3*a^7}{(a^{-2})^4} )\\\\= log_a(\dfrac{a^9*a^7}{a^{-8}} )\\\\= log_a\dfrac{a^{16}}{a^{-8}} \\\\= log_aa^{16+8}\\\\= log_aa^{24}\\\\= 24log_aa\\\\= 24* 1\\\\= 24](https://tex.z-dn.net/?f=%3D%20log_a%28%5Cfrac%7Bx%5E3y%7D%7Bz%5E4%7D%20%29%5C%5C%5C%5C%3D%20log_a%28%5Cdfrac%7B%28a%5E3%29%5E3%2Aa%5E7%7D%7B%28a%5E%7B-2%7D%29%5E4%7D%20%29%5C%5C%5C%5C%3D%20log_a%28%5Cdfrac%7Ba%5E9%2Aa%5E7%7D%7Ba%5E%7B-8%7D%7D%20%29%5C%5C%5C%5C%3D%20log_a%5Cdfrac%7Ba%5E%7B16%7D%7D%7Ba%5E%7B-8%7D%7D%20%5C%5C%5C%5C%3D%20log_aa%5E%7B16%2B8%7D%5C%5C%5C%5C%3D%20log_aa%5E%7B24%7D%5C%5C%5C%5C%3D%2024log_aa%5C%5C%5C%5C%3D%2024%2A%201%5C%5C%5C%5C%3D%2024)
Hence, the value of the logarithm expression is 24