1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mrac [35]
3 years ago
11

The customer service department resolved 106 of 120 customer

Mathematics
1 answer:
Elanso [62]3 years ago
4 0

Answer:

______________________________

106/120 = .8833 complaints per hour i think.

______________________________

You might be interested in
A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
Find all the zeros of the equation x^4-6x^2-7x-6=0 Explain please.
Alina [70]
<h3>Answer:</h3>
  • zeros are {-2, 3, (-1±i√3)/2}
<h3>Step-by-step explanation:</h3>

I like to look at a graph of the function to see where the zeros might be. Here, there are x-intercepts at x=-2 and x=3. These can be factored out using synthetic division to find the factorization to be ...

... (x +2)(x -3)(x² +x +1) = 0

By completing the square, using the quadratic formula, or by looking at the graph of it, the complex roots of the quadratic factor can be found to be ...

... x = (-1 ±i√3)/2

_____

The second attachment shows my synthetic division. The first division takes out the root x=3 to give a quotient of x³ +3x² +3x +2. The second division takes out the root -2 to give the quotient of x² +x +1. (You can see that I tried -1 as a root first.)

The graph shows both the quartic and the quadratic factor of it. The latter has a leading coefficient of 1 and a vertex at (-1/2, 3/4), so you know the complex roots are -1/2 ±i√(3/4).

_____

<em>From the beginning</em>

There is only a very complicated formula for the roots of a quartic equation, so these are usually solved by machine or by some form of trial and error (iteration). There are some helps, like Descarte's Rule of Signs, and the Rational Root theorem.

Here, the former looks at the one sign change in the coefficients to tell you there will be 1 positive real root. Changing the sign of the odd-degree terms makes there be 3 sign changes, so there will be 3 or 1 negative real roots. Thus, we're assured at least two real roots, one of each sign.

We can look at the constant term to find the y-intercept to be -6. We can add the coefficients to find the value of the function is -18 for x=1, so the positive real root is larger than 1.

The Rational Root theorem says any rational roots will be factors of 6, the constant term. Choices are 1, 2, 3, 6. We have already eliminated 1 as a possibility, and we consider it unlikely that 6 will be a root. (The 4th power overwhelms the other terms in the function.) We tried 2 and found it doesn't work (this was before we graphed the function). The attached division result shows that 3 is a root, as does the graph.

Once you get down to a quadratic, you can find the remaining roots in the usual way. Because it is so simple to read them from the graph, we decided to graph the quadratic factor.

_____

<em>Comment on terminology</em>

"root" and "zero" are essentially the same thing when the function is equated to zero, as here. The terms refer to the value(s) of x that make the polynomial function evaluate to zero.

8 0
3 years ago
Please Help ASAP!!! Its My Pre Algebra Exam!
const2013 [10]

Answer:

The brainly terms of service states that you can not use Brainly for tests or exams. Please do not do this.

Step-by-step explanation:

6 0
3 years ago
Una funzione inversamente proporzionale è rappresentata da?
puteri [66]
Supponiamo che due variabili x e y siano inversamente proporzionali; allora possiamo rappresentarli come x ∝ 1 / y. Ciò significa che se il valore di x aumenta, il valore di y diminuisce e viceversa.


Suppose two variables x and y are inversely proportional; then we can represent them as x ∝ 1/y. That means, if the value of x increases, then the value of y decreases and vice versa.

3 0
2 years ago
1, 1, 4, 7, 8, 8, 8, 11, 15<br> What is the mode of this list of numbers?<br><br> answer asap!!!!
wlad13 [49]

Answer:

8

Step-by-step explanation:

its eight...........................

7 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify the expression.<br> −(−x)3 − x3<br><br> A. −4x3<br> B. −2x3<br> C. 2x3<br> D. 0
    8·2 answers
  • Can you please explain how you did it
    15·1 answer
  • How many seconds are in 100,000,000 minutes?
    14·2 answers
  • Mr. Whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and t
    5·2 answers
  • What is another way to write the expression ​r⋅(18−3)​?
    12·1 answer
  • Answer fast I need help and it need to be done tomorrow.
    8·1 answer
  • The product of 9 upon 7 and a number is 63. Find the number​
    6·1 answer
  • Please help! I will mark as brainliest IF answer is right. &lt;3
    14·1 answer
  • A water sprinkler covers the area shown in the figure.
    5·1 answer
  • The diameter of a circle is 48 meters. What is the angle measure of an arc 17​ meters long?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!