Answer:
The graph is shown below.
The time to make the taste to half is <u>4.265 s.</u>
Step-by-step explanation:
Given:
Initial value of the taste is, 
Therefore, the quality of taste over time 't' is given as:

Now, when the taste reduces to half, 
Therefore,

Taking natural log on both the sides, we get:

Therefore, the time to make the taste to half is <u>4.265 s.</u>
Tan(angle) = Opposite leg / adjacent leg
Tan(27) = Y / 350
Y = 350 x tan(27)
Y = 178.3 feet.
Answer:
There are 392 students in the seventh grade.
Step-by-step explanation:
Let us assume that there are x number of students in the seventh grade.
Now, 3/8 of the seventh grade students were taking Advanced math at the beginning of the year, but seven dropped out by the end of the year.
So, after the end of the year there were
number of students taking advanced math.
So, as per given condition, 
⇒ 
⇒ x = 392
Therefore, there are 392 students in the seventh grade. (Answer)
Answer:
B. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the first equation in A by 2.
Step-by-step explanation:
If we add the first two equations that shown in A so
6x + 8y + 2x - 5y = -10 + 12
8x + 3y = 2
Now the first equation in A would be multiplied by 2
So
2(6x + 8y = -10)
12x + 16u = -20
Therefore the correct option is B.