Answer:
1) x=0.465
2) option A.
Step-by-step explanation:
1) The given equation is:
We rewrite this as logarithm to get:

The change of base formula is:

We apply the change of base formula on the RHS to get:



Group similar terms:

2)
From the graph, the logarithmic function approaches negative infinity as x approaches -6.
Therefore the vertical asymptote is x=-6
The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.
The correct answer is A.
To answer this question you will find out the total number of cupcakes donated and then calculate the amount of each flavor based on the percentage that is stated.
Here are the steps:
1. 12 x 10 x 12 (12 classes each donating 10 dozen) = 1440
2. 0.55 x 1440 (55% are chocolate) = 792 chocolate
3. 1440 - 792 (the remaining number of cupcakes)=648
4. 1/3(33 1/3%) x 648 = 216 red velvet
5. 1440 - 792 (chocolate) - 216 (red velvet) = 432 vanilla cupcakes
Chocolate-792
Red velvet - 216
Vanilla - 432
Answer:
0.324
0.068
Step-by-step explanation:
If Russell is 5'9" ; then he is under 6 feets :
Probability = number of forwards under 6 feets / tot number of players
Probability = 120 / 370 = 0.324
Peter is 6'2" ; Peter is over 6 feets ;
Probability that Peter is a guard = (number of guards over 6 feets / total number of players) = 25 / 370 = 0.0676 = 0.068