Answer: 
Step-by-step explanation:
Since you did not indicate what you need to do, I assume that you have to write an expression using the sentence given in the problem.
In order to solve this exercise, it is importat to remember the following information:
1. The quotient is the result of a division.
2. The sum is the result of an addition.
3. The word "twice" indicates a multiplicatio by 2.
4. The word "cube" indicates an exponent 3.
Then, keeping on mind the explained above and the data given in the exercise, you know that:
-The sum of 
and 
can be expressed as:
- Twice the cube of 
can be expressed in the following form:
Therefore, you can dermine that "the quotient of the sum of and and twice the cube of " is represented with the following expression:
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Answer:
Every hour, the medicine concentration decays by a factor of 4%.
Step-by-step explanation:
The relationship between the elapsed time, <em>t</em>, in minutes, since the medicine was ingested, and its concentration in the bloodstream, <em>C</em> (<em>t</em>), is:
The decay function is:
Here,
<em>y</em> = final amount
<em>a </em>= initial amount
<em>r</em> = decay rate
<em>t</em> = time
From the provided expression the decay rate is:
Thus, every hour, the medicine concentration decays by a factor of 4%.
Answer: 96
Step-by-step explanation:
Simply multiply the first question by 12 to get 2x+8y=96
<em>Hope it helps <3</em>
Answer:
She drove 384 miles, because 48 x 8 = 384! :)
Step-by-step explanation:
The rate of change of the risk of down syndrome (in percentage of births per year) is
r(x) = 0.004641x² - 0.3012x + 4.9, 20≤ x ≤ 45
where
x = maternal age at delivery.
The function giving risk as a percentage of births when maternal age is x is the integral of r(x). That is,
f(x) = 0.001547x³ - 0.1506x² +4.9x + c
When x = 30, f = 0.14%. Therefore
0.001547(30³) - 0.1506(30²) + 4.9(30) + c = 0.14
41.769 - 135.54 + 147 + c = 0.14
c = -53.089
Answer:
f(x) = 0.001547x³ - 0.1506x² + 4.9x - 53.089, 20 ≤ x ≤ 45
The function is graphed as shown below.
