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
dezoksy [38]
2 years ago
13

the concentration of a drug in a patient's bloodstream t hours after the drug was administrated presented by the equation c(t) =

5t-t²+1 (in mg/mL). construct a table of values for c(t) for t=1,2,5,10. Round off answer to tree decimal places. use use the table to sketch a graph and interpret the result by giving the (a) domain, (b) range, (c) vertical asymptote, and (d) horizontal asymptote.​
Mathematics
1 answer:
Andrews [41]2 years ago
4 0

The graph of the function has no asymptotes.

<h3>The table of values of c(t)</h3>

The function is given as:

c(t) = 5t - t² + 1

When t = 1, 2, 5, 10;

We have:

c(1) = 5(1) - 1² + 1 = 5

c(2) = 5(2) - 2² + 1 = 7

c(5) = 5(5) - 5² + 1 = 1

c(10) = 5(10) - 10² + 1 = -49

So, the table of values is

t        c(t)

1         5

2        7

5        1

10      -49

See attachment for the graph of the function

<u>The domain</u>

From the question, we understand that t represents time.

  • Time cannot be negative i.e. t ≥ 0
  • The time does not exceed 5.2 i.e. t ≤ 5.2

So, the domain is 0 ≤ t ≤ 5.2

<u>The range</u>

From the graph, the maximum of the graph is 7.25

So, the range is 0 ≤ f(t) ≤ 7.25

<u>Asymptotes</u>

From the graph, we can see that the graph has no asymptotes.

Read more about domain and range at:

brainly.com/question/10197594

#SPJ1

You might be interested in
The junior senator can do a labyrinth in 50 minutes. The senior senator can do a labyrinth in 30 minutes. Working together, how
vladimir2022 [97]

Answer:

225\:\text{minutes}

Step-by-step explanation:

To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.

In 10 minutes, the junior senator can complete \frac{10}{50}=\frac{1}{5} of the labyrinth.

In 10 minutes, the senior senator can complete \frac{10}{30}=\frac{1}{3} of the labyrinth.

Therefore, working together, they can complete \frac{1}{5}+\frac{1}{3}=\frac{8}{15} of the labyrinth in 10 minutes. Thus, it will take them \frac{15}{8}\cdot 10 \text{ minutes}=18.75\:\text{minutes} to complete one labyrinth.

The amount of time it take them to complete 12 labyrinths is then 18.75\cdot 12 =\boxed{225\:\text{minutes}}

5 0
2 years ago
A class consists of 17 men and 14 women. An exam is given andstudents are ranked according to their performance. Assume notwo st
notsponge [240]

Answer:

3.18%

Step-by-step explanation:

(14/31) X (13/30)X (12/29) X (11/28) = 0.0318 = 3.18%

5 0
3 years ago
Which of the following is a polynomial with roots: − square root of 5 , square root of 5 , and −3?
tresset_1 [31]
Roots: - √5 , √5, and - 3

=> these are factors of the polynomial: (x + √5), (x - √5), and (x + 3).

Multiply those three factors:

(x + √5) (x - √5) ( x + 3) = [x^2 - 5] ( x + 3 ) = x^2 + 3x^2 - 5x - 15

Therefore the polynomial x^2 + 3x^2 - 5x - 15 is a polynomial with the given roots.

Answer: option B. x^3 + 3x^2 - 5x - 15
4 0
3 years ago
Find 5 rational numbers between -3/4 and 5/6
insens350 [35]

Answer:

1/2, 1/3, 1/4, 1/5, 1/6

Step-by-step explanation:

6 0
3 years ago
Solve this equation for x: x2 + 11x + 28 = 0
saw5 [17]

Answer:

Step-by-step explanation:

The answer is factor the trinomial

5 0
3 years ago
Read 2 more answers
Other questions:
  • A physicist discovers an element whose atom has a mass of 0.00000000000000112 grams. He makes an entry in his journal and writes
    15·2 answers
  • ⎯ is drawn, and its perpendicular bisector, line m, is constructed. Point is on line m but not on ⎯⎯. Label the intersection of
    14·1 answer
  • What angles share the same cosine value as cos 45° and has terminal sides in what quadrant?
    7·1 answer
  • Look at the problem that is below this question.
    9·1 answer
  • Help with this linear algebra question
    9·1 answer
  • PLZ help me with this question
    5·2 answers
  • Angle C and angle D are complementary. The measure of angle C is (2x)° and the measure of angle D is (3x)°. Determine the value
    15·1 answer
  • Please help me with this I need it asap ! Find the surface area
    15·1 answer
  • Which situation would result in a value of O?
    7·1 answer
  • You have a choice between going to an in-state college where you would pay $7000 per year for tuition and an out-of-state colleg
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!