Answers
The answer of the given question based on the finding the m∠QTS from a circle with the measure of minor arc the answer is the measure of angle ∠QTS is 60° degrees.
What is Arc?In geometry, arc is portion of a curve or circle. It is defined as the part of the curve that is contained between two points, called endpoints, on curve. The length of arc is fraction of the circumference of circle, determined by the measure of central angle that subtends it.
An arc is typically denoted by two endpoints, with small arc or arc symbol above the two letters. For example, an arc with endpoints A and B would be denoted as "⌒AB" or "AB".Arcs can be classified based on their measure or position of their endpoints.
An arc with measure less than 180 degrees is called minor arc, while an arc with measure greater than 180 degrees is called major arc. An arc with measure equal to 180 degrees is called semicircle.
Since arc QS is a minor arc, we know that angle ∠QTS is half the measure of arc QS. Therefore, we have:
m∠QTS = (1/2) m arc QS
m∠QTS = (1/2) (120°) [Substituting the given value of m arc QS]
m∠QTS = 60°
Therefore, the measure of angle ∠QTS is 60° degrees.
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Related Questions
The number of employees for a certain company has been decreasing each year by 5%. If the company cumently has 860 employees and this rate continues, find the number of employees in 10 years
The number of employees in 10 years will be approximately
(Round to the nearest whole number as needed)
Answers
Based on the exponential decay equation, the number of employees for the company that has been decreasing yearly by 5%, will in 10 years be approximately 515.
What is exponential decay equation?The exponential decay equation or function gives the value in t years that has a constant ratio of decrease.
Exponential decay equation is one of the two exponential functions. The other is the exponential growth equation.
The annual decrease in the number of employees = 5%
The current number of employees in the company = 860
The expected time = 10 years.
The exponential decay equation is as follows, y = 860 x 0.95^10.
y = 860 x 0.95^10 = 515
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a general principle in the field of tests and measurements is that longer tests tend to be more reliable than shorter ones. in your opinion, is that principle illustrated by the reliability coefficients shown in the table?
Answers
This principle is validated by the data shown in the table.
Tests and measurements is an essential aspect of the education process as it enables educators to gauge the level of knowledge and skills their students have acquired. The principle that longer tests tend to be more reliable than shorter ones has some merit because it allows educators to assess a broader range of skills and knowledge, which increases the validity of their assessments.In my opinion, the principle that longer tests tend to be more reliable than shorter ones is illustrated in the reliability coefficients shown in the table. This is because the data shows that the reliability coefficients for longer tests are consistently higher than those for shorter tests. Additionally, the results for the 10-item test indicate a higher reliability coefficient compared to the 5-item test, which supports the notion that longer tests are more reliable than shorter ones.The table displays that the longer tests have higher reliability coefficients compared to the shorter tests. For example, in the 5-item test, the reliability coefficient is .45, while the 10-item test's reliability coefficient is .73. This shows that the 10-item test is more reliable than the 5-item test, as the higher reliability coefficient indicates that the assessment is consistent in measuring the skill or knowledge it is intended to measure. As a result, this principle is validated by the data shown in the table.
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National Collegiate Athletic Association (NCAA) statistics show
that for every 75,000 high school seniors playing basketball, about 2250 play
college basketball as first-year students. Write the ratio of the number of first-
year students playing college basketball to the number of high school seniors
playing basketball.
Answers
Answer: 100:3
Step-by-step explanation:
Answer:
the ratio of first-year college basketball players to high school seniors playing basketball is 3:100.
Step-by-step explanation:
The problem states that for every 75,000 high school seniors playing basketball, about 2,250 play college basketball as first-year students. To write the ratio of first-year college basketball players to high school seniors playing basketball, we need to compare the two quantities.
The ratio is a way of expressing the relationship between two numbers as a fraction or a pair of numbers separated by a colon (:). In this case, we want to express the ratio of the number of first-year college basketball players to the number of high school seniors playing basketball.
To write the ratio, we start by putting the number of first-year college basketball players (2,250) in the numerator of a fraction. We put the number of high school seniors playing basketball (75,000) in the denominator of the same fraction.
So the ratio can be expressed as:
2,250/75,000
To simplify this fraction, we can divide both the numerator and denominator by a common factor. In this case, both 2,250 and 75,000 are divisible by 750. Dividing both numbers by 750 gives:
2,250/75,000 = 3/100
In the morning 134 books were checked out from the library.in the afternoon 254 books were checked out and 188 books were checked out in the evening.how many books were checked out in the library that day?
Answers
Answer:
576 books.
Step-by-step explanation:
134+254+188=576 books in total.
Answer:
576
Step-by-step explanation:
This is literally easy!
Checked books are 134 + 254 + 188 = 576
Write a quadratic function in standard form to represent the data in the table.
Ordered pairs arranged in a table. From left to right the pairs are: 2, 3, and 4, 1, and 6, 3, and 8, 9, and 10, 19.
y = x2 − x +
Answers
Im a trapezoid measuring 8cm, 10cm, 16 cm and 10cm on its sides. What is my Perimeter? 1-5 po lhat
Answers
Answer:
See Below.
Step-by-step explanation:
To find the perimeter of a trapezoid, you simply add up the lengths of all four sides.
In this case, the trapezoid has sides of 8 cm, 10 cm, 16 cm, and 10 cm.
Perimeter = 8 cm + 10 cm + 16 cm + 10 cm
Perimeter = 44 cm
Therefore, the perimeter of the trapezoid is 44 cm.
Solve the problems. a) The number a is 4/5 of the number b. What part of number a is number b?
Answers
Answer:
Solve the problems. a) The number a is 4/5 of the number b. What part of number a is number b?
Step-by-step explanation:
a) If a is 4/5 of b, then b is 5/4 of a.
To find what part of a is b, we divide b by a:
b/a = 5/4
This means that b is 5/4 times larger than a, or b is 125% of a.
To find what part of a is b, we subtract 1 from this fraction:
b/a - 1 = 5/4 - 1
b/a - 1 = 1/4
So, b is 1/4 of a, or b is 25% of a.
how can i slove this??
Answers
Answer:
[tex]5x {}^{3} - x + 5x + 2[/tex]
Step-by-step explanation:
Greetings!!!
So to find the sum of (f+g)(x) just simply add these two functions
f(x)+g(x)3x²+5x-2+(5x³-4x²+4)Add like terms together
5x³-x²+5x+2If you have any questions tag it on comments
Hope it helps!!!
Line A has a y-intercept of 3 and is perpendicular to the line given by
y = 5x + 2.
What is the equation of line A?
Give your answer in the form y = mx + c, where m and c are integers or
fractions in their simplest forms.
Answers
Answer:
Step-by-step explanation:
The given line is y = 5x + 2. We know that any line perpendicular to this line will have a slope that is negative reciprocal of 5. The negative reciprocal of 5 is -1/5.
Line A is perpendicular to y = 5x + 2, so it has a slope of -1/5. We also know that the y-intercept of line A is 3. Therefore, the equation of line A can be written as:
y = (-1/5)x + 3
or in the form y = mx + c, where m = -1/5 and c = 3.
The total resistance of a circuit is given by the formula RT = +
R1 = 4 + 6i ohms and R2 = 2 − 4i ohms. What is RT?
Answers
The total resistance of the circuit is 6 + 2i.
Resistance is a unit of measurement for the resistance to current flow in an electrical circuit. The Greek letter omega () represents the unit of measurement for resistance, which is ohms.
Georg Simon Ohm (1784–1854), a German physicist who investigated the connection between voltage, current, and resistance, is the name given to the unit of resistance known as an ohm.
The amount of opposition any object applies to the flow of electric current is known as resistance. A resistor is an electrical component utilised in the circuit to provide that particular level of resistance. R = V I is a formula used to calculate an object's resistance.
given :
R1 = (4 + 6i)
R2 = (2 - 4i)
total resistance of the circuit is
R = R1 + R2
= (4 + 6i) + (2 - 4i)
= 6 + 2i
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The equation RT = + R1 = 4 + 6i ohms and R2 = 2 4i ohms, RT = 6 - 2i ohms, determines the circuit's total resistance.
R1 and R2 are added to determine RT: RT = R1 + R2.
The actual components added together give us 4 + 2 = 6.
When we add the fictitious parts, we obtain 6i - 4i = 2i.
RT is thus equal to 6 - 2i ohms.
To put it another way, the circuit's total resistance is a complex number containing a real component of 6 ohms and an imaginary component of -2 ohms. This shows the combined impact of the circuit's resistances R1 and R2. When a constant voltage differential of one volt (V) is supplied to two conductor points and a current of one ampere (A) results, the resistance between those points is measured in ohms. It is comparable to one volt for every ampere (V/A), to put it simply.
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Suppose f is a continuous function defined on a rectangle R=[a,b]X[c,d]. What is the geometric interpretation of the double integral over R of f(X,y) if f(X,y)>0
Answers
If f(x,y) > 0 and is a continuous function defined over a rectangle R=[a,b]x[c,d], then the double integral over R of f(x,y) can be interpreted as the volume of a solid that lies in the first octant and under the graph of the function f(x,y) over the region R.
The geometric interpretation of the double integral over R of f(x,y) if f(x,y) > 0, where f is a continuous function defined on a rectangle R = [a,b] × [c,d] is given as follows:
The double integral of f(x,y) over R, if f(x,y) > 0, gives the volume under the graph of the function f(x,y) over the region R in the first octant.
Consider a point P (x, y, z) on the graph of f(x, y) that is over the region R, and let us say that z = f(x,y). If f(x,y) > 0, then P is in the first octant (i.e. all its coordinates are positive).
As a result, the volume of the solid that lies under the graph of f(x,y) over the region R in the first octant can be found by integrating the function f(x,y) over the rectangle R in the xy-plane, which yields the double integral.
The following formula represents the double integral over R of f(x,y) if f(x,y) > 0:
∬Rf(x,y)dydx
The geometric interpretation of the double integral over R of f(x,y) if f(x,y) > 0 is given by the volume of the solid that lies under the graph of the function f(x,y) over the region R in the first octant.
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expand 5a(a+6)
please help
Answers
Here’s the answer , 5a to the power 2 plus 30
Prove that sum of measure of three angles of triangle is 180
Answers
Proved that the sum of measure of three angles of triangle is 180 using the Polygon Angle Sum Theorem
To prove that the sum of the measures of three angles of a triangle is 180 degrees, we can use the Polygon Angle Sum Theorem, which states that the sum of the measures of the interior angles of a polygon with n sides is equal to (n-2) times 180 degrees.
A triangle is a polygon with three sides, so we can apply the Polygon Angle Sum Theorem to a triangle to find the sum of its interior angles. Using n=3, we have:
Sum of measures of interior angles of triangle = (n-2) × 180 degrees
= (3-2) × 180 degrees [since we are dealing with a triangle]
= 1 × 180 degrees
= 180 degrees
Therefore, the sum of the measures of the interior angles of a triangle is 180 degrees. This means that the sum of the measures of the three angles in a triangle is always 180 degrees, regardless of the size or shape of the triangle.
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B=6,c=7.5 what is A in Pythagorean therom
Answers
Answer: 4.5
Step-by-step explanation:
A^2 +B^2 =C^2
A^2 + 6^2 =7.5^2
A^2 + 36= 56.25
A^2= 20.25
A= square root of 20.25
A= 4.5
Use the table you created to play the "Two Spinner
Game" below.
For this game, we say the spinners "match" if they
land on the same color (e.g., both red, or both blue).
How do you win? Once again, that's your choice:
(1) If the spinners MATCH, you win.
(2) If the spinners DO NOT MATCH, you win.
Which game would you be more likely to win?
Answers
Therefore, you would be more likely to win the game by choosing option (2) - winning if the spinners do not match.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible, and 1 indicates that the event is certain. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many areas of mathematics, science, engineering, finance, and other fields to model and analyze uncertain situations. It helps to make predictions, to assess risks and opportunities, and to make informed decisions based on available information. Probability theory provides a foundation for statistical inference, which is used to draw conclusions from data and to test hypotheses about the underlying population.
Here,
In the "Two Spinner Game", there are two possible outcomes for each spin - a match or a non-match. The probability of the spinners matching is the probability of both spinners landing on the same color. Let's say that there are 3 red sections, 3 blue sections, and 2 green sections on each spinner.
The probability of the first spinner landing on red is 3/8, and the probability of the second spinner landing on red is also 3/8. Therefore, the probability of both spinners landing on red (a match) is (3/8) x (3/8) = 9/64.
Similarly, the probability of both spinners landing on blue (another match) is (3/8) x (3/8) = 9/64, and the probability of both spinners landing on green (a match) is (2/8) x (2/8) = 4/64.
The probability of the spinners not matching is the probability of them landing on different colors. There are 3 different pairs of colors that are not a match: red-blue, red-green, and blue-green. The probability of each of these pairs is (3/8) x (3/8) = 9/64.
So, there are 6 possible outcomes, and the probability of winning by a match is 9/64 + 9/64 + 4/64 = 22/64, or about 34.4%. The probability of winning by a non-match is 3 x 9/64 = 27/64, or about 42.2%.
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Over 9 days Jaison jogged ----- 10m, 6m, 6m, 7m, 5m, 7m, 5m, 8m, 9m
Find the mean distance Jaison jogged
Answers
The mean distance Jaison jogged over 9 days is 7 meters per day. This was calculated by adding up all the distances he jogged and dividing by 9.
To calculate the average distance that Jaison jogged over the 9 days, we used the formula for mean, which involves summing up all the distances he jogged and dividing by the total number of days. After adding up the distances, we found that the total distance Jaison jogged was 63 meters. Dividing this by the 9 days gives us an average distance of 7 meters per day. Therefore, Jaison jogged an average of 7 meters each day over the 9-day period.
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find the smallest value of n that you can for which s n has an element of order greater than or equal to 100
Answers
The smallest value of `n` for which `S_n` has an element of order greater than or equal to 100 is 101.
To determine the smallest value of n for which S_n has an element of order greater than or equal to 100, we can use the formula
S_n = n!/r!(n - r)!,
where n is the number of elements in the set, and r is the number of elements being chosen at a time.
Given, S_n has an element of order greater than or equal to 100. The smallest value of n should be determined.
The formula for the number of permutations in a set with n elements is given by, `S_n = n!/r!(n - r)!`
where `n` is the number of elements in the set and `r` is the number of elements being chosen at a time.
The element of order `n` in `S_n` is an `n` cycle. For `n = 100`, we have an element of order 100.
This element can be expressed as `(1 2 3 ... 99 100)`. Thus, `r = 100`.
Substituting these values in the formula of S_n we get, S_n = n!/r!(n - r)! => n!/(100!(n - 100)!)
Now, we have to find the smallest value of n for which S_n has an element of order greater than or equal to 100. If we substitute `n = 100`, then we will have an element of order 100. But the question asks for the smallest value of n. So, if we substitute `n = 101`, we will have an element of order `101`. Hence, the smallest value of `n` for which `S_n` has an element of order greater than or equal to 100 is 101.
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Simplify.
Remove all perfect squares from inside the square root. Assume x is positive.
20x8 =
Answers
The simplified form of the given expression as required to be determined in the task content is; 2x⁴√5.
What is the simplified form of the given expression?It follows from the task content that the Simon form of the given expression √20x⁸ is required to be determined from the task content.
On this note, since the given expression is; √20x⁸.
We have that; = √ (4 × 5 × x⁸)
Therefore, since 4 and x⁸ are perfect squares; it follows that we have;
= 2x⁴ √5.
Ultimately, the simplified form of the given expression as required to be determined is; 2x⁴ √5.
Complete question; The correct expression is; √20x⁸.
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Please help me answer!
Answers
As a result, the percentage of adults who selected math is different from the percentage of kids who did.
what is percentage ?As a number out of 100, a percentage is a method to express a proportion or a fraction. It is symbolized by the number %. If there are 25 boys in a class of 100 pupils, for instance, then there are 25% of boys in the class. It is a helpful method to compare quantities and to express changes in values over time.
given
120 80
Total 200
Women Overall Party A Party B
70 60
Overall 130
Therefore, there are 130 ladies in the group.
b) The chart indicates that 70 women plan to support Party A.
Thus, the percentage of adults who selected English was 40% of 48, which is equal to 0.4 times 48 and 19.2 when rounded to the closest whole number.
b) Reeshma is not accurate. The percentage of adults who selected math is 35%, while for children it is 40%, according to the pie chart.
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The complete question is:- complete the two-way table, which shows the voting intentions of a group of men and women. a How many women are in the group?
Men
Party A Party B 120
Total 200
Women 130
Total 380
b How many women intend to vote for Party A?
2 A group of 48 adults are asked what their favourite subject was at school. They can choose from
maths, English and science.
A group of 32 school children are asked the
same question.
Emma and Cooper went to Tico’s tacos for lunch. Emma ordered three tacos and one burrito and Cooper ordered one taco and two burritos Emmas order total was $3.65 and Cooper’s bill was $3.30. Write and solve a system of equations to model the situation above. Explain the solution in the context of this problem. Explain, or show your work in the box below.
Answers
In the given system of equations one taco costs $0.80 and one burrito costs $0.72.
What is a system of equations?An equation system is a finite collection of equations for which we searched for the common solutions. It is sometimes referred to as a set of simultaneous equations or an equation set. The classification of a system of equations is similar to that of a single equation. In modelling issues where the unknown values may be expressed in the form of variables, a system of equations finds use in everyday life.
Let us suppose the cost of one taco = x.
Let us suppose the cost of one burrito = y.
Then, for Emma we have:
3x + y = 3.65
For Cooper we have:
x + 2y = 3.30
Using elimination, multiply the first equation by 2 and subtract it from the second equation:
(2)(3x + y = 3.65)
6x + 2y = 7.30
x + 2y = 3.30
-5x = -4
x = 4/5
Substituting this value of x into either equation:
3(4/5) + y = 3.65
y = 2.15/3 ≈ 0.72
Therefore, one taco costs $0.80 and one burrito costs $0.72.
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Here is a scale drawing of a garden. Tom wants to plant a tree in the garden according to the following rules: It must be 4 m from A and 2 m from CD. Place a cross where Tom can plant the tree. D 2.5 cm A 4 cm C B 1 cm represents 2m
Answers
Answer:
the cross is the blue color
A jar contains 24 coins: 10 quarters, 6 dimes, 2 nickels, and 6 pennies.
What is the probability of randomly drawing _____ ?
1. a penny
2. a quarter
3. a coin that is not a penny
Answers
The probability of randomly drawing a penny is 6/24 or 1/4, since there are 6 pennies out of a total of 24 coins.
How to solve and What is Probability?
The probability of randomly drawing a quarter is 10/24 or 5/12, since there are 10 quarters out of a total of 24 coins. The probability of randomly drawing a coin that is not a penny is 18/24 or 3/4, since there are 18 coins that are not pennies out of a total of 24 coins.
Probability is the branch of mathematics that deals with measuring the likelihood or chance of an event or outcome occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Probability theory is used to make predictions and informed decisions based on available data in various fields, including statistics, finance, engineering, and science.
It involves understanding and analyzing random events, and determining the likelihood of specific outcomes. Probability is an essential tool for decision-making in various applications, such as risk analysis, game theory, and quality control.
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I NEED YOUR HELP ASAP!!
To create a modified box plot for a data set, determine the outliers of the data set and the smallest and largest numbers in the data set that are not outliers. Next, determine the median of the first half of the data set, the median of the entire data set, and the median of the second half of the data set.
What are the values that are needed to create a modified box plot for this data set?
19, 15, 22, 35, 16, 22, 4, 22, 24, 16, 17, 21
Enter your answers in the blanks in order from least to greatest.
Answers
Smallest number in the data set that is not an outlier is 15, Median of the first half is 17, Median of the entire data set is 20.5. Median of the second half is 22. Largest number in the data set that is not an outlier is 35.
Give a short note on Median?
In statistics, the median is a measure of central tendency that represents the middle value in a dataset. To find the median, the data must first be sorted in ascending or descending order. If the dataset contains an odd number of values, the median is the middle value. If the dataset contains an even number of values, the median is the average of the two middle values.
The median is a useful measure of central tendency in datasets that are skewed or have outliers, as it is less sensitive to extreme values than the mean. It is also useful in datasets with non-numeric values, such as rankings or survey responses.
To create a modified box plot, we need the following values:
The smallest number in the data set that is not an outlier: 15
The median of the first half of the data set: 17
The median of the entire data set: 20.5
The median of the second half of the data set: 22
The largest number in the data set that is not an outlier: 35
So the values needed to create a modified box plot for this data set are: 15, 17, 20.5, 22, 35.
Ryan buys some jumpers to sell on a stall. He spends £190 buying 80 jumpers. He sells 50% of the jumpers for £12 each. He then puts the rest of the jumpers on a Buy one get one half price offer. He manages to sell half the remaining jumpers using this offer. How much profit does Ryan make?
Answers
Ryan makes a profit of £240. the total sales now amount to £600. By subtracting the cost of the jumpers, i.e. £190, from the total sales, we calculate that Ryan makes a profit of £240.
Ryan spends £190 to buy 80 jumpers. He sells 50% of the jumpers, i.e. 40 jumpers, at £12 each. This brings the total sales to £480. Then, he puts the remaining 40 jumpers on a Buy one get one half price offer. He sells 20 of the remaining jumpers using this offer. Therefore, the total sales now amount to £600. By subtracting the cost of the jumpers, i.e. £190, from the total sales, we calculate that Ryan makes a profit of £240.
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Determine what number to multiply the first equation by to form opposite terms for the x-variable.
2
5
x + 6y = -10
–2x – 2y = 40
Multiplying the first equation by
will create opposite x terms
Answers
To create opposite x terms, we need to multiply the first equation by -5.
How to choose what term to multiply the first equation?
To choose what term to multiply the first equation, we need to consider the coefficients of the variable that we want to eliminate (in this case, the x variable) in both equations. Our goal is to create opposite terms for that variable in the two equations, so that when we add or subtract the equations, that variable will be eliminated.
Determining the number to multiply the first equation by to form opposite terms for the x-variable :
In this case, the coefficient of x in the first equation is 2/5, and the coefficient of x in the second equation is -2.
To create opposite terms for x, we need to find a constant that, when multiplied by the first equation, will result in a coefficient of x that is the negative of the coefficient of x in the second equation (i.e., -2).
To do this, we can divide the coefficient of x in the second equation by the coefficient of x in the first equation, and then multiply the entire first equation by the resulting constant.
In this case, we have:
[tex](-2)/(2/5) = -5[/tex]
Multiplying the first equation by -5 gives:
[tex]-5(2/5)x + (-5)6y = -5(-10)[/tex]
which simplifies to:
[tex]-2x - 30y = 50[/tex]
Now we have two equations with opposite x terms:
[tex]-2x - 4y = 40[/tex]
[tex]-2x - 30y = 50[/tex]
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y=2x+1
2x-y=3
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Answers
The shedding frequency based on the analysis of Question 3 is to be determined through the use of a small-scale model to be tested in a water tunnel. For the specific bridge structure of interest D=20 cm and H=300 cm, and the wind speed V is 25 m/s. Assume the air is at MSL ISA conditions. For the model, assume that Dm =2 cm. (a) Determine the length of the model Hm needed for geometric scaling. (b) Determine the flow velocity Vm needed for Reynolds number scaling. (c) If the shedding frequency for the model is found to be 27 Hz, what is the corresponding frequency for the full-scale structural component of the bridge? Notes: Refer to the eBook for the properties of air. Assume the density of water
rhoH2O = 1000 kg/m3 and the dynamic viscosity of water μH2O =1×10^−3 kg/m/s
Answers
Answer:
Step-by-step explanation:
g suppose the acme drug company what is the probability that the percent difference of -.13 or less is seen if the true difference is 0
Answers
To conclude, the probability of the Acme Drug Company seeing a percent difference of -.13 or less if the true difference is 0 is quite low and is equal to 0.0934.
The probability that the Acme Drug Company would see a percent difference of -.13 or less if the true difference is 0 is quite low. This is because a difference of -.13 is a very small percentage in comparison to a true difference of 0.
Mathematically, the probability of this happening would be equal to the area under the standard normal distribution curve for values between -0.13 and 0. In other words, the probability that the Acme Drug Company would see a percent difference of -.13 or less if the true difference is 0 is equal to the area from the left tail of the standard normal distribution curve up to the mean (0) of the curve.
Using a standard normal distribution calculator, we can see that the probability of the Acme Drug Company seeing a percent difference of -.13 or less is 0.0934. This probability is extremely low and it is not likely that the Acme Drug Company would experience such a small percent difference.
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What is the range of the quadratic function below?
Answers
The range of the quadratic function above is (-∞, 7].
What is the definition of a quadratic function?In mathematics, a quadratic prοblem is οne that invοlves multiplying a variable by itself, alsο knοwn as squaring. In this language, the area οf a square is equal tο the length οf its side multiplied by itself. The term "quadratic" cοmes frοm the Latin wοrd fοr square, quadratum.
Tο determine the quadratic functiοn's range, we must first determine the functiοn's minimum and maximum pοints. The given functiοn is in vertex fοrm, with the vertex at the pοint (h, k), where h is the vertex's x-cοοrdinate and k is the vertex's y-cοοrdinate.
We can see frοm the given equatiοn that the vertex is at the pοint (1, 7). Because the cοefficient οf the x² term is pοsitive, the parabοla οpens upwards and the vertex is the functiοn's minimum pοint.
Thus, The range of the quadratic function above is (-∞, 7].
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A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 162 pounds requires 216 milligrams of medicine. What is the weight of a patient who requires 220 milligrams of medicine?
Answers
A patient weighing 220 pounds needs 293 milligrams of medicine.
We have given that,
patient weighing 162
pounds requires 216 milligrams of medicine
We have to calculate the amount of medicine required by a patient weighing 220 pounds
Consider the value of amount of medicine is x.
Set up a proportion.
pounds / milligrams of medicine
What is the proportion we get?
[tex]162/216=220/x[/tex]
So,
[tex]162/216=220/x[/tex]
[tex]162x=216\times220[/tex]
[tex]162x=47,520[/tex]
[tex]x=47,520/162[/tex]
[tex]x=293[/tex]
A patient weighing 220 pounds needs 293 milligrams of medicine.
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