![log_{10}(2) \times log_{10}(3)](https://tex.z-dn.net/?f=%20log_%7B10%7D%282%29%20%20%20%5Ctimes%20%20%20log_%7B10%7D%283%29%20)
in log multiplication means addition
hence we add giving us
![log_{10}(2 + 3)](https://tex.z-dn.net/?f=%20log_%7B10%7D%282%20%2B%203%29)
![= log_{10}(5)](https://tex.z-dn.net/?f=%20%3D%20%20log_%7B10%7D%285%29%20)
This is false because 2(7)+0.8/0.2=56 and 22* -4 is equal to -88 and -88 is not equal to 56
Answer:
(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.
Step-by-step explanation:
Here, H(t) is the height after the t minutes of time.
Given :
H'(7.5) = 15.708 meters / minute
H'(t) = ![$\frac{d(H(t))}{dt}$](https://tex.z-dn.net/?f=%24%5Cfrac%7Bd%28H%28t%29%29%7D%7Bdt%7D%24)
= rate of change of the height
So, here, H'(t) = rate of change of height
Therefore, H'(7.5) = 15.708 meters / minute
It shows that the passenger's height is increasing at rate 15.708 meters per minute at time t = 7.5 minutes after the ride begins.
Y=1/2x+1/2
the y intercept is 1/2 and the slope is 1/2
Answer: C. 22/5 + 9i/5
Step-by-step explanation:
8-7i/1-2i divided by 1+2i/1+2i
combine: (8-7i)(1+2i)/1-2i)(1+2i)
simplify the numerator
Use foil method
8 times 1+8(2i)-7i times 1 -7i(2i) divided by (1-2i)(1+2i)
Combine like terms
22+9i divided by (1-2i)(1+2i)
simplify denominator
22+9i/5
Split fraction into two fractions
22/5 +9i/5