Answers
Answer:
y = 8 + 12x
Step-by-step explanation:
Step 1: Write equation
3x - 1/4y = -2
Step 2: Solve for y
Subtract 3x on both sides: -1/4y = -2 - 3xMultiply both sides by -4: y = -4(-2 - 3x)Distribute -4: y = 8 + 12xRelated Questions
The National Assessment of Educational Progress (NAEP) periodically administers tests on different subjects to high school students. In 2000, the grade 12 students in the sample averaged 301 on the mathematics test; the SD was 30. The likely size of the chance error in the 301 is about ______. a) Can you fill in the blank if a cluster sample of 1,000 students was tested? If so, what is the answer? If not, why not? b) Can you fill in the blank if a simple random sample of 1,000 students was tested? If so, what is the answer? If not, why not?
Answers
The average score of 301, for a simple random sample of 1,000 students, is approximately 0.95.
a) To determine the likely size of the chance error in the average score of 301 for a cluster sample of 1,000 students, we need additional information about the cluster sampling design.
The cluster sampling method involves dividing the population into clusters, selecting a subset of clusters, and then sampling all individuals within the selected clusters.
The likely size of the chance error depends on the within-cluster variability and the between-cluster variability.
Without information about the variability at each level, we cannot accurately estimate the size of the chance error in this specific scenario.
Therefore, we cannot fill in the blank without more details regarding the cluster sampling design and the variability present in the clusters.
b) If a simple random sample of 1,000 students was tested, we can estimate the likely size of the chance error in the average score of 301. Since a simple random sample implies that each student has an equal chance of being selected, we can use the standard error of the mean formula to estimate the size of the chance error.
The standard error of the mean (SE) is calculated as the standard deviation (SD) divided by the square root of the sample size (n):
SE = SD / √n
Given that the SD is 30 and the sample size (n) is 1,000, we can calculate the standard error:
SE = 30 / √1000 = 30 / 31.62 ≈ 0.95
Therefore, the likely size of the chance error in the average score of 301, for a simple random sample of 1,000 students, is approximately 0.95.
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Does anyone know this answer
(If you do please type it out just like I would do so when i input it)
Answers
For each of the following scenarios, determine whether the mean or median better represents the data (place a check mark in the appropriate box). For each case, explain why you chose that particular average. The following three scenarios below do not have a specific data set. Be sure to consider all possibilities/outcomes! "Create" a data set if you need to.
Answers
In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..
1. Scenario: Income distribution of a population
- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.
2. Scenario: Exam scores in a class
- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.
3. Scenario: Housing prices in a city
- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.
Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.
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Look at the triangle ABC, drawn on a square grid. Here are some statements about triangle ABC. For each statement, decide whether it is true or false.
a) The triangle is isosceles.
b) The triangle has three lines of symmetry.
c) The triangle is right-angled.
d) The triangle is equilateral.
Answers
Therefore , the solution of the given problem of triangle comes out to be b) True. The triangle's symmetry line is represented by the dashed line.
What is a triangle exactly?A triangular is a polygon because it has two or even more additional parts. It has a straightforward rectangle shape. A parallelogram with only sides A, B, as well as C is a triangle. When the sides are not exactly collinear, Euclidean geometry produces a single plane as compared to a cube. If a shape has three edges and three angles, it is said to be triangular. The intersection of a quadrilateral's three edges is known as an angle. The sum of a triangle's edges is 180 degrees.
Here,
a) Incorrect. Triangle ABC is not scalene because its two longest sides (AB and AC) are equivalent in length.
b) True. The triangle's symmetry line is represented by the dashed line.
c) Untrue. Triangle ABC is not right-angled because none of its edges are right angles.
d) Untrue. Although sides AB and AC of the triangle ABC are identical in length, side BC has a different length, making the triangle ABC not isosceles.
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You flip a coin and then roll a fair six-sided die. Find probability the coin lands heads-up and the die shows a five
Answers
Answer:
A "fair" coin lands heads-up half of the time and "tails-up" half of the time.
For one flip, the probability of landing heads-up is 1/2.
Of those successes, we now consider the probability of the "fair" die landing with an even number on top. This probability is (number of successes) / (total number of possibilities) = 3/6, or 1/2.
So, the probability of both events happening ("and") is 1/2 of 1/2, or (1/2)*(1/2) = 1/4.
Step-by-step explanation:
The probability that coin lands heads-up and the die shows a five is 0.083.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.
Given that, a person flip a coin and then roll a fair six-sided die.
The probability the coin lands heads-up is 1/2
The probability that die shows a five = 1/6
Now, the probability of an event = 1/2 × 1/6
= 1/12
= 0.083
Therefore, the probability that coin lands heads-up and the die shows a five is 0.083.
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Please help this is the final question on my homework and I am lost
Answers
Answer:
15.6
Step-by-step explanation:
sin74=15/x
sin74x=15
x=15/sin74
x=15.625
x=15.6 (Nearest tenth)
I need help with this
Answers
The correct equation that represents the inequality is f(x) > √1 - x.
What is the inequality equation?
To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation. If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.
An inequality is a mathematical relationship between two expressions and is represented using one of the following: ≤: "less than or equal to" <: "less than" ≠: "not equal to"
We have given the graph that represents the inequality equation,
and the inequality equations:
f(x) > √1 - x
f(x) ≤ √1 - x
f(x) ≥ √1 - x
f(x) < √1 - x
Hence, the correct equation that represents the inequality is f(x) > √1 - x.
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The coordinates of the vertices of a polygon are A(-2,1), B(-2,4), C(0,7), D(2,4), and E(2,1). What is the
perimeter of the polygon?
a. Graph the polygon
b.
Find the length of AB.
C.
Find the length of BC.
d. Find the length of CD.
e. Find the length of DE.
f.
Find the length of AE.
g.
Find the perimeter. Round your answer to the nearest tenth.
Answers
Answer:
b
Step-by-step explanation:
I need to write an solve an inequality that describes the width of the lot in terms of w
Answers
Given:
The length of the rectangle is 50 yards. The perimeter is less than 180 yards.
Required:
Write the solution inequality in terms of width w.
Explanation:
Let the width of the rectangle is w.
The perimeter of the rectangle is given by the formula:
\(P=2(length+width)\)\(\begin{gathered} 2(50+w)<180 \\ 50+w<90 \\ w<90-50 \\ w<40 \end{gathered}\)Final Answer:
The first option is the correct answer.
ASAP please help due in the morning
Answers
Answer: -3,2
Step-by-step explanation:
-3 < v - 5/6 Solve the inequality for v.
Simplify your answer as much as possible.
Answers
The solution to the inequality expression given as -3 < v - 5/6 is v > -13/6
How to determine the solution to the inequality expression?From the question, the inequality expression is given as
-3 < v - 5/6
Add 5/6 to all sides of the above inequality expression
So, we have the following equation
5/6 -3 < v - 5/6 + 5/6
Evaluate the like terms in the above expression
So, we have the following equation
-13/6 < v - 0
Rewrite the above expression as
-13/6 < v
So, we have
v > -13/6
Hence, the solution is v > -13/6
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3/2 (x-5) - 3/2 = 9/2 x solve and verify
Answers
Answer:
x = -2
Step-by-step explanation:
3/2 (x-5) - 3/2 = 9x/2
3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator
are 2 so we can multiply all term by 2
2(3x/2 - 15/2 - 3/2 = 9x/2)
3x - 15 - 3 = 9x ... simplify it
3x - 12 = 9x
-12 = 9x - 3x ... take 3x to the left
-12 = 6x ... simplify
6x/6 = -12/6 ... dividing both side by 6
x = -2 ... simplify and solve x
322 Out of 450 is What Percent?
Answers
The percentage of 322 out of 450 using the percentage formula was found out to be approximately 71.56%.
To find the percentage of 322 out of 450, we can use the following formula:
percentage = (part/whole) x 100
where, "part" is the value we want to express as a percentage (in this case, 322), "whole" is the total value (in this case, 450), and "x" means "multiply".
Using the formula mentioned above, we get:
percentage = (322/450) x 100
percentage = 0.7156 x 100
percentage = 71.56%
Therefore, percentage of 322 out of 450 is approximately 71.56%.
A percentage is a way to express a number as a fraction of 100. It is often denoted using the "%" symbol.
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The health board of a major city wants to know if people who have different types of healthcare coverage (HMO, Medicare/Medicaid, or no insurance) go to different types of hospitals (privately-funded, government-funded, or free clinic) when they are injured. Using the data below, test the null hypothesis that type of insurance does not affect which hospital type they choose. Hospital Type
Insurance Type Private Public Free Clinic
HMO 17 6 4 Medicare/Medicaid 24 30 9 No insurance 8 14 8
(a) (4pts) Identify an independent variable and dependent variable. (b) (6pts) State the research hypothesis and null hypothesis for this question
(c) (5pts) Which test statistic should you use? (e.g., two sample independent T-test, ANOVA chi-square, or correlation)? (d) (10 pts) Compute the appropriate test statistics (Please show all your work). (e) (10 pts) In full sentences, please a) make a decision AND b) interpret your results when a = 05. In your answer, please INCLUDE critical test statistics from the right distribution chart (e.g., Z distribution, T distribution, F distribution, or Chi-square distribution) (f) (5pts) Find the pattern of the relationship between family structure and total family income. You should justify your answer with the percentages.
Answers
(a) The dependent variable is the hospital type chosen (private, public, or free clinic).
(b) ) Research hypothesis: affects the choice of hospital type.
Null hypothesis: The does not affect the choice of hospital type.
(c) a chi-square test of independence should be used.
(d) we need to create a contingency table using the provided data:
Private Public Free Clinic
(e) the critical value from the chi-square distribution table with 4 degrees of freedom at α = 0.05.
What is the linear regression equation?
The formula for simple linear regression is Y = mX + b, where Y is the response (dependent) variable, X is the predictor (independent) variable, m is the estimated slope, and b is the estimated intercept.
(a) The independent variable is the type of insurance (HMO, Medicare/Medicaid, or no insurance). The dependent variable is the hospital type chosen (private, public, or free clinic).
(b) Research hypothesis: The type of insurance affects the choice of hospital type.
Null hypothesis: The type of insurance does not affect the choice of hospital type.
(c) To analyze the relationship between the type of insurance and the choice of hospital type, a chi-square test of independence should be used.
(d) To compute the test statistics, we need to create a contingency table using the provided data:
Private Public Free Clinic
HMO 17 6 4
Medicare/Medicaid 24 30 9
No insurance 8 14 8
Using this contingency table, we can perform the chi-square test of independence.
(e) To perform the chi-square test of independence, we calculate the chi-square test statistic and compare it to the critical value from the chi-square distribution at the specified level of significance (α = 0.05).
The chi-square test statistic formula:
χ² = Σ[(O_ij - E_ij)² / E_ij]
where O_ij represents observed frequencies and E_ij represents expected frequencies under the assumption of independence.
Calculating the expected frequencies:
Private Public Free Clinic
HMO 10.53 9.21 6.26
Medicare/Medicaid 25.11 21.97 15.92
No insurance 12.36 10.82 7.82
Using the formula, calculate the chi-square test statistic:
χ² = [(17-10.53)² / 10.53] + [(6-9.21)² / 9.21] + ... + [(8-7.82)² / 7.82]
Calculate the degrees of freedom:
df = (number of rows - 1) × (number of columns - 1) = (3-1) × (3-1) = 4
Look up the critical value from the chi-square distribution table with 4 degrees of freedom at α = 0.05. Let's assume the critical value is χ²_crit.
Hence, (a) The dependent variable is the hospital type chosen (private, public, or free clinic).
(b) ) Research hypothesis: affects the choice of hospital type.
Null hypothesis: The does not affect the choice of hospital type.
(c) a chi-square test of independence should be used.
(d) we need to create a contingency table using the provided data:
Private Public Free Clinic
(e) the critical value from the chi-square distribution table with 4 degrees of freedom at α = 0.05.
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find the critical numbers of the function. (enter your answers as a comma-separated list. if an answer does not exist, enter dne.) p(x) = x2 + 2 /2x + 1
Answers
The critical numbers of p(x) are (-1 + √5/2) and (-1 - √5/2).
We can find the critical numbers of the function p(x) by finding the values of x where the derivative of p(x) is zero or undefined.
p(x) = (x² + 2)/(2x + 1)
To find the derivative of p(x), we can use the quotient rule:
p'(x) = [(2x + 1)(2x) - (x² + 2)(2)]/(2x + 1)²
Simplifying p'(x), we get:
p'(x) = (2x² + 2x - 2)/(2x + 1)²
Setting p'(x) to zero and solving for x, we get:
2x² + 2x - 2 = 0
Dividing both sides by 2, we get:
x²+ x - 1 = 0
Using the quadratic formula, we get:
x = (-1 ± √5/2)
These are the critical numbers of the function p(x).
Therefore, the critical numbers of p(x) are (-1 + √5)/2 and (-1 - √5/2).
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Urgent help needed urgent urgent
Answers
The polynomial for x2 -4 in function notation is (x+2)(x-2) since a function produces an output from an input.
what is function ?Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. The term "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function.The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.
given
A function creates an output from an input.
The name of the function, f (x) f(x) f(x)f, left parenthesis, x, right parenthesis, and the output, f (x) f(x) f(x)f, left parenthesis, x, right parenthesis, are all enclosed in parentheses.
x2 -4
(x2 - 2*2)
= (x+2)(x-2)
The polynomial for x2 -4 in function notation is (x+2)(x-2) since a function produces an output from an input.
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Please Help!!
f(x) = square root of x plus 7 ; g(x) = 8x -11
Find f(g(x))
Answers
I'm not sure if you mean ( \( \sqrt{x + 7} \) ) or ( \( \sqrt{x} + 7\) ) I solved it both ways .
\(f(x) = \sqrt{x + 7} \\ \\ f( \: g(x) \: ) = \sqrt{(8x - 11)+ 7} \\ = \sqrt{8x - 11 + 7} \\ = \sqrt{8x - 4} \\ = 2 \sqrt{2x - 1} \)
____o_____o______
\(f(x) = \sqrt{x} + 7 \\ \\ f( \: g(x) \: ) = \sqrt{(8x - 11)} + 7 \\ = \sqrt{8x - 11} + 7\\ \)
I hope I helped you^_^
Sadie was using a metal spoon to eat her soup and her spoon became hot. Which correctly describes the process that caused the spoon to become
hot?
A. Convection, since hot air currents increased the temperature of the spoon.
B. Conduction, since hot air currents increased the temperature of the spoon.
C. Convection, since the spoon was in contact with the hot soup.
D. Conduction, since the spoon was in contact with the hot soup.
Answers
Answer:
The answer is D metal is a connductor that is why many of our hot appliances such as grills, ovens, and hot iron tools are metal
Step-by-step explanation:
brainlest plz
Answer:
D
Step-by-step explanation:
because convection is air and convection is contact.
are these correct?
if you cant see my answers :
1 ) 65 •
2 ) 120•
3 ) 60•
4 ) 40 •
5 ) 135•
6 ) 165•
7 ) 85 •
8 ) 145•
thanks! have a good day
Answers
Answer:
Step-by-step explanation:
I thing number 5 the answer is 125 degrees
Answer:
yes
Step-by-step explanation:
cause as i see u if it is acute angle it must be <90
and for obtuse angle the angle is 90<x<180 ( between 90 and 180)
Mary takes a flight from Arizona to Alaska. In Arizona, the temperature is 101°F, while in Alaska, the temperature is – 11°F. What is the difference between the temperatures in Arizona and Alaska?
Answers
Answer: How to find the difference is you have to subtract them. So if you subtract the difference would be 112.
So your answer is 112
Have a good day.
Your,
Nathaniel
Step-by-step explanation:
Evaluate the expression.
4×(7×5)
=
Answers
Answer:
4x(7x5) = 4x(35)
To evaluate the expression, we must first perform the operations inside the parentheses. In this case, 7x5 = 35. Then we can multiply 4 with that result, which gives us 4x35 = 140. So the final value of the expression is 140.
Answer: 140
Step-by-step explanation:
4 x (7 x 5)
7 x 5 = 35
4 x 35
= 140
Pls help !!! I’ll give brainliest!!
Answers
Answer:
20
Step-by-step explanation:
Which of the following number is closer to 5.
Answers
Answer:
Step-by-step explanation:
b
Geometric mean of 4 and 64
Answers
Answer: 16
Step-by-step explanation:
Let's say x=Geometric mean.
4*64=x*x
x*x=256
x^2=256
x=16
Caffenine takes a certain amount of time to leave your system if you drink 3 cups of coffe in the morning the function that represents the amount of caffeine remaining in your body after drinking the coffe is given by g(t)=130(.8346)^t where t is the timein hours. how much caffeine remains in your body after 1 day. how much caffeine remains in your body after 2 days
Answers
Answer:
In 1 day, 1.70
In two days 0.022
Note; Unit was not given in the question, I would have included it
Step-by-step explanation:
Here, we are to calculate the amount of caffeine remaining in the body.
To calculate this, we simply substitute for the number of hours t in the equation.
In one day , we have 24 hours
So our substitution will be t = 24
Hence; for a day;
g(24) = 130(0.8346)^24 = 1.70
For two days, we have t = 48 hours
Thus; g(48) = 130(0.8346)^48 = 0.022
The value of the algebraic expression below.
6a^3 + (4b-c)^2 ÷2
When... A=5
B=3 C=2
Answers
Hope this helps:)
from 9 am today until 9 am tomorrow, how many times will the hands of a standard 12-hour clock coincide?
Answers
The hands of a 12-hour clock will coincide 22 times from 9 am today until 9 am tomorrow.
In a 12-hour clock, the hands coincide when the minute hand and the hour hand are on the same hour marks. For example, when the minute hand and hour hand coincide at 12 o'clock, the next time they will coincide is at 1 o'clock.
The minute hand moves 12 times faster than the hour hand, so for every hour that passes, the minute hand travels 12 hour marks. In a 12-hour clock, the minute hand will travel 360 degrees and the hour hand will travel 30 degrees in one hour. The minute hand travels 12 times faster than the hour hand. We can calculate the number of coincidences between the minute hand and hour hand over 24 hours as follows:
For each hour, the hour hand moves 30 degrees and the minute hand moves 360 degrees.
Therefore, the difference in degrees between the minute hand and hour hand is 330 degrees.Therefore, the hands of a 12-hour clock will coincide 22 times from 9 am today until 9 am tomorrow.
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Determine the type of variable for:The number of counties in California.
Qualitative nominal
Quantitative Continuous
Qualitative ordinal
Quantitative discrete
Determine the type of variable for: The stages of childhood: Infant, Toddler, Preschooler, School age, Preteen, Teen
Qualitative nominal
Quantitative Continuous
Qualitative ordinal
Quantitative discrete
Suppose the average time for a class of 28 students (taken from a campus of 1200 students) to drive to campus was 23 minutes.
Select the choice
In the scenario above, 23 minutes is a parameter/ statistic , because 28 students is a sample/ population.
At a Track field, a coach keeps track of an athletes mile time. The coach reported that the mean mile time of a particular athlete was 7 minutes and the standard deviation of the mile time was 1 minute. Assume that the coach also gave us the information that the distribution of the mile time was bell shaped. Use the empirical rule to find:
What percent of the athlete's mile times are expected to be between 6 minutes and 8 minutes?
What percent of the athlete's mile times are expected to be between 4 minutes and 7 minutes?
What percent of the athlete's mile times are expected to be less than 9 minutes?
Answers
The type of variable for,
a. The number of counties in California: Quantitative discrete.
b. The stages of childhood: Qualitative ordinal.
c. In the scenario above, 23 minutes is a statistic, because 28 students is a sample.
d. Between 6 minutes and 8 minutes: Approximately 68% of the athlete's mile times are expected to be between 6 and 8 minutes, according to the empirical rule.
e. Between 4 minutes and 7 minutes: Approximately 68% of the athlete's mile times are expected to be between 4 and 10 minutes, according to the empirical rule.
f. Less than 9 minutes: Approximately 84% of the athlete's mile times are expected to be less than 9 minutes, according to the empirical rule.
In statistics, variables can be categorized into two types: qualitative and quantitative.
Qualitative variables describe characteristics or qualities that cannot be measured numerically, such as gender or hair color.
Quantitative variables, on the other hand, represent numerical values that can be measured or counted.
There are two types of quantitative variables: continuous and discrete. Continuous variables can take any numerical value within a range, such as age or weight.
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If (fg)(x) = h(x) such that h of x is equal to the square root of the quantity 8 times x plus 6 end quantity which of the following could accurately represent f and g?
f of x is equal to the square root of the quantity 4 times x plus 3 end quantity and g of x is equal to the square root of the quantity 4 times x plus 3 end quantity
f of x is equal to the square root of the quantity 4 times x plus 3 end quantity and g of x is equal to the square root of 2
f (x) = 8x + 6 and g of x is equal to the square root of x
f of x is equal to the square root of x and g(x) = 8x + 6
Answers
The possible definitions of f(x) and g(x), considering the composition of the functions, are given as follows:
\(f(x) = \sqrt{x}\)g(x) = 8x + 6.What is the composite function of f(x) and g(x)?The composite function of f(x) and g(x) is given by the following rule:
(f ∘ g)(x) = f(g(x)).
It means that the output of the inside function serves as the input for the outside function.
The functions for this problem are defined as follows:
\(f(x) = \sqrt{x}\)g(x) = 8x + 6.As the composition of the functions is then given as follows:
\(h(x) = f(g(x)) = f(8x + 6) = \sqrt{8x + 6}\)
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Q1 Graphs: Medication
A flu patient is prescribed a course of an antivirus drug. The number of mg of the drug in the bloodstream t hours after the first dose is taken is given by the function
A = 175(1)(-0,5t) =
Q1.1
A) What is a practical domain for this function? Write your answer using interval notation.
I.e. what values of t make sense in the context of this scenario?
You may want to consider how long a medication typically lasts in the bloodstream as well. Use a complete sentence to justify both the beginning and end of your domain.
Answers
The practical domain for the given function, A = 175(1)(-0.5t), is the interval [0, ∞). This means that the values of t that make sense in the context of this scenario range from 0 to positive infinity.
In the context of this scenario, the function represents the number of milligrams (mg) of the antivirus drug in the bloodstream t hours after the first dose is taken. The beginning of the domain, t = 0, represents the time immediately after the first dose is taken. At this point, the drug starts to enter the bloodstream and its concentration can be measured.
The end of the domain, t approaching positive infinity, is justified based on the typical duration of medication in the bloodstream. After a certain period of time, the antivirus drug is metabolized and eliminated from the body. Although the specific duration may vary depending on the drug and individual factors, it is reasonable to consider a sufficiently long time period to capture the complete course of the drug's effect. Therefore, the practical domain extends to infinity to account for the long-term effects of the drug in the bloodstream.
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