Each slice has an exterior edge that measurement roughly 0.6981 feet in length. Hence, the price per slice is around $11.11.
What does measurement and example mean?
Comparison of a parameter with a predetermined reference value is the process called measurement. For instance, when a measurement is represented as 10 kg, kg is the accepted unit of mass and 10 represents the physical quantity's size. Make correction suggestions.
The formula for calculating the arc length of the a sector, which is as follows, may be used to get the measurement of each slice's outer edge:
arc length is equal to (angle/360) x 2r.
when r is the pizza's radius, which is equal to its diameter. When we replace r with 2 feet & angle with 40 degrees, i get:
arc length is (40/360) x 2 x 2 feet, which is rounded to 0.6981 feet with 4 decimal places.
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1. Label the axes
2. Graph A(-3,0) B(-2,4) C(1,-1)
draw △ABC in BLUE
3. Rotate △ABC 90° clockwise to create △ABC IN RED. List the coordinate below:
Formula (x,y) ➜ (y,x)
A (-3,0) ➜ A’ ( )
B (-2,4) ➜ B’ ( )
C (1,-1) ➜ C’ ( )
4. Translate △ABC three units down to create △ABC IN GREEN. What are the coordinates of △ABC?
A ( )
B ( )
C ( )
In response to the stated question, we may state that The coordinates of equation triangle ABC in green are: A" (-3,-3); B" (-2,1); C" (1,-4)
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
The x-axis is horizontal and the y-axis is vertical.
4 B(−2, 4)
| *
| / \
| / \
|/_____\
A(−3, 0) C(1, −1)
4 B(−2, 4) C'(4, 1)
| * *
| / \ / \
| / \ / \
|/_____\-3, 0 -1, 1 A'(0, -3)
A(-3, 0) C(1, −1) B'(4, -2)
A' (-3,0) ➜ (0,-3)
B' (-2,4) ➜ (4,-2)
C' (1,-1) ➜ (-1,1)
1 C(1, −1) C"(1, -4)
| * *
| / \ / \
| / \ / \
|/_____\-3, -3 -2, 1 A'(-3, -3)
A(-3, 0) B(-2, 4) B'(-2, 1)
A' (-3,0) ➜ A" (-3,-3)
B' (-2,4) ➜ B" (-2,1)
C (1,-1) ➜ C" (1,-4)
The coordinates of triangle ABC in green are:
A" (-3,-3)
B" (-2,1)
C" (1,-4)
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Question 2 Which of the following is an important advantage of experiments over Select all that apply: observational studies? Check all that apply. points A 0 Ensuring that each subject in the trial receives the best possible treatment Isolating the effects of _ specific treatment c 0 Guaranteeing that approximately the same number of subjects is assigned to each treatment group Controlling for lurking variables to have = stronger case for causation
An important advantage of experiments over observational studies is that experiments can control for lurking variables to have a stronger case for causation. Another advantage is that experiments can isolate the effects of a specific treatment.
What is an experiment?
An experiment is a scientific study that is designed to test a hypothesis or investigate a cause-and-effect relationship between variables. Experiments allow researchers to manipulate one variable (independent variable) and observe the effect on another variable (dependent variable) while controlling for other variables that may affect the outcome (lurking variables).
What are observational studies?
Observational studies are research designs that observe and collect data from participants without manipulating any variables. In observational studies, the researchers only observe and record what happens naturally without intervening in any way. Observational studies are used when experiments are not feasible or ethical.
What are the advantages of experiments over observational studies?
Experiments have several advantages over observational studies. Some of the advantages include:
Control over variables: Experiments allow researchers to control for variables that may affect the outcome by manipulating one variable (independent variable) and keeping all other variables constant. This helps researchers to establish a cause-and-effect relationship between variables.
Isolation of specific effects: Experiments can isolate the effects of a specific treatment by comparing outcomes between treatment groups and control groups. This helps researchers to determine the effectiveness of the treatment with a high degree of accuracy.
Similarity between treatment groups: Experiments can ensure that approximately the same number of subjects is assigned to each treatment group, thereby minimizing the effects of individual differences on the outcome. This increases the statistical power of the study and reduces the likelihood of obtaining spurious results.
Control of extraneous variables: Experiments can control for lurking variables (extraneous variables) that may affect the outcome by manipulating one variable (independent variable) and keeping all other variables constant. This helps researchers to establish a strong case for causation.
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what can be said about the coefficients of the polynomial obtained by multiplying out when both and are odd integers? when both and are even integers? when one of and is even and the other is odd?
Odd coefficients of the polynomial are obtained by multiplying both odd integers.
Even coefficients of the polynomial are obtained by multiplying both even integers.
Even and odd coefficients of the polynomial are obtained by multiplying both odd integers.
Lets take two integer m and n,
If both 'm' and 'n' are odd integers, then the coefficients of the polynomial obtained by multiplying out will be odd.
If both 'm' and 'n' are even integers, then the coefficients of the polynomial obtained by multiplying out will be even.
If one of 'm' and 'n' is even and the other is odd, then the coefficients of the polynomial obtained by multiplying out will be even and odd.
There are no other cases.
The general form of the polynomial obtained by multiplying out a binomial is:
[tex](a+b)^n = nC_0a^n + nC_1a^{(n-1)}b + nC_2a^{(n-2)}b^2 + .....+ nC_n-1ab^{(n-1)} + nC_nb^n[/tex]
where [tex]nC_k[/tex] is a binomial coefficient.
In general, for a polynomial [tex](a+b)^n[/tex], the coefficient of the term of degree k is [tex]nC_k[/tex].
The binomial coefficients are defined as: [tex]nC_k = n! / (k!\times(n-k)!)[/tex]
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.. Sasha Abbott earns $62,550.00 in taxable income each year. The tax rate is 3.6%, and she takes zero deductions. How much tax does her employer withhold each year? A $2,380.50 B $2,251.80 C $2,500.40 D $1,823.20
Answer: B $2,251.80
Step-by-step explanation:
:)
Near Pittsburgh, a cable car transports people from the Monongahela River valley to the community on top of the overlooking bluff. The Monongahela Incline has a grade of 78%. Find the measure of the angle the cable car track makes. with the valley floor. If necessary, round to the nearest degree.
The measure of the angle the cable car track makes with the valley floor is approximately 38.7 degrees.
What is grade?The slope or inclination of a line or surface is sometimes referred to as the grade in mathematics. The ratio of the vertical change (rise) to the horizontal change (run) between any two locations on a line or surface is what is meant by this term. Usually, the grade is given as a percentage or a fraction. In engineering, building, and transportation, grades are frequently used to define the slope of roads, railroads, and other infrastructure. The grade, which refers to how steep the slope is when referring to a cable car, is a crucial element in determining the safety and effectiveness of the system.
To find the angle we use the trigonometric functions:
tan(θ) = grade = rise/run
Given that, the grade of the incline is 78%, then grade = 0.78.
θ = arctan(0.78) ≈ 38.7 degrees.
Hence, the measure of the angle the cable car track makes with the valley floor is approximately 38.7 degrees.
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Two urns contain white balls and yellow balls. The first urn contains 5 white balls and 4 yellow balls and the second urn contains 3 white balls and 2 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?
Two urns contain white balls and yellow balls. The first urn contains 7 white balls and 7 yellow balls and the second urn contains 2 white balls and 10 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?
The probabilty of selecting two white balls in the two scenarios are 1/3 and 1/13
Calculating the probabilty of whiteScenario 1
The probability of drawing a white ball from the first urn is 5/9, since there are 5 white balls out of 9 total balls.
Similarly, the probability of drawing a white ball from the second urn is 3/5.
To find the probability that both balls are white, we need to multiply the probabilities of drawing a white ball from each urn, since the events are independent:
(5/9) × (3/5) = 15/45 = 1/3
Scenario 2
Using the steps in (1), we have
P = 1/2 * 2/12
Evaluate
P = 1/12
Therefore, the probability that both balls are white is 1/12.
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Each prism has the same volume. Which has the least surface area? Explain or show your
reasoning.
This means that the cube will have less surface area than the rectangular prism.
What is surface area?Surface area is a measure of the total exposed area of an object, or the total area of its two-dimensional surface. It is a measurement of the total exposed area of a three-dimensional object and is used to calculate the amount of material needed to cover a given area. Surface area is commonly used in physics, chemistry, engineering, and mathematics.
The prism with the least surface area of the same volume is the cube. This is because a cube has equal length, width, and height, allowing for all of the sides to be equal in size. This means that the area of each side is the same and all six sides of the cube are congruent. This creates the least amount of surface area for a given volume, as compared to any other prism. To illustrate this, take a cube and a rectangular prism with the same volume. The cube will have 6 smaller sides, while the rectangular prism will have 5 larger sides and 1 smaller side. This means that the cube will have less surface area than the rectangular prism.
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please need full answer asap
Answer:
Step-by-step explanation:
[tex](x+14)^2+x^2=22^2[/tex] (Pythagoras Theorem)
[tex](x^2+28x+196)+x^2=484[/tex]
[tex]2x^2+28x+196=484[/tex]
[tex]2x^2+28x-288=0[/tex]
[tex]x^2+14x-144=0[/tex]
Using quadratic formula,
[tex]x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-14\pm \sqrt{(14^2-4\times1\times(-144)} }{2\times1}[/tex]
[tex]=\frac{-14\pm \sqrt{(196+576} }{2}[/tex]
[tex]=\frac{-14\pm 2\sqrt{193} }{2}[/tex]
[tex]=-7\pm\sqrt{193}[/tex]
[tex]=-7\pm13.89[/tex]
[tex]=6.89 ,-20.89[/tex] (-20.89 is not useful...cannot have a negative length for
radius)
Solution: radius is 6.89
Jordan wrote the following descirption: three fewer than one fourth of x is 12. write an equation to represent the description.
Answer:
1/4x - 3 = 12
Step-by-step explanation:
You know you have 1/4x and need to take three from it to equal 12
there is a three term arithmetic sequence with the first term 9. if you add 2 to the second term and 20 to the third term it forms a geometric sequence. what is the smallest number the third term in the geometric sequence could be?
The geometric sequence is 9 + 2 + 20 = 29.
The smallest number the third term in the geometric sequence can be is 29.
This is because when you add 2 to the second term and 20 to the third term of the three-term arithmetic sequence with a first term of 9,
the third term of the geometric sequence is 9 + 2 + 20 = 29.
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on a monte carlo roulette wheel, there are 37 slots: 18 red, 18 black, and 1 green. if you were to sit down and spin such a wheel 26 times, what would be the probability of duplicating the 26 straight blacks that occurred on august 18, 1913 at monte carlo?
If on a monte carlo roulette wheel, there are 37 slots: 18 red, 18 black, and 1 green, the probability of getting 26 straight blacks is approximately 3.143 x 10^-16.
The probability of duplicating the exact sequence of 26 straight blacks that occurred on August 18, 1913, is extremely low. Each spin of the wheel is an independent event, so the probability of getting a black on any given spin is always 18/37, regardless of what happened on previous spins.
To calculate the probability of getting 26 straight blacks, we can use the formula for the probability of a sequence of independent events, which is the product of the probabilities of each event. Therefore, the probability of getting 26 straight blacks is (18/37)^26, which is an extremely small number, approximately 3.143 x 10^-16.
Therefore, the probability of duplicating the 26 straight blacks that occurred on August 18, 1913, is so low that it's effectively impossible. It's important to note that each spin of the wheel is independent, so even if the wheel had produced 25 straight blacks, the probability of the next spin being black would still be 18/37.
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samantha recently hired a mechanic to do some necessary work. on the final bill, samantha was charged a total of $568. $475 was listed for parts and the rest for labor. if the hourly rate for labor was $31, how many hours of labor was needed to complete the job? (a) first write an equation you can use to answer this question. use x as your variable
Total of 3 hours are needed to complete the job.
The required equation that can be used to answer this question is: 31x = 568 − 475, where x is the number of hours of labor that was needed to complete the job.
Here's how you can solve it:Samantha recently hired a mechanic to do some necessary work. On the final bill, Samantha was charged a total of $568. $475 was listed for parts and the rest for labor.
If the hourly rate for labor was $31, how many hours of labor were needed to complete the job?Solution:Let x be the number of hours of labor needed to complete the job.
Labor cost = $31/hourTotal labor cost = 31x dollars. Total cost of the job = $568.
Cost of parts = $475.
Labor cost = Total cost − Cost of parts.
31x = 568 − 47531x = 93x = 3
Therefore, 3 hours of labor was needed to complete the job.
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what is the term for 2x + 4y - 2
Answer:
The term 2x+4y-2 is a binomial equation.
Step-by-step explanation:
Factoring said equation: 2(x+2y-1)
x intercepts: (1,0)
y intercepts: (0, 1/2)
The expression the quantity secant of x plus 1 end quantity over tangent of x was simplified with the following steps:
Step 1: secant x over tangent x plus 1 over tangent x
Step 2: the quantity 1 over cosine x end quantity over tangent x plus 1 over tangent x
Step 3: the quantity 1 over cosine x end quantity over the quantity sine x over cosine x end quantity plus cosine x over sine x
Step 4: 1 over sine x plus cosine x over sine x
Step 5: cosecant x plus cosine x over sine x
Step 6: cosecant x plus cotangent x
Which identity/formula was used to simplify from step 2 to step 3?
The identity used to simplify from step 4 to step 5 is the definition of the cosecant function cosecant x = 1/sine x.
What is a mathematical expression?
A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division. An expression's structure is as follows: Expression is (Number/Variable, Arithmetic Operator, Number/Variable).
For instance, the expression x + y is an expression where x and y are terms with an addition operator between them. Mathematical expressions can be divided into two categories: algebraic expressions, which include both numbers and variables, and numerical expressions, which solely contain numbers.
= the expression 1/sine x
= 1/sine x + cosine x/sine x
= cosecant x + cosine x/sine x
= cosecant x + cotangent x.
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The diagram shown is two intersecting lines. The measure of <5 is 42°.
Two intersecting lines. Not perpendicular. Angles labeled from far left counterclockwise are labeled 5 then 6 then 7
What is the measure of <7 ? How do you know. Explain your answer in complete sentences.
Suppose the measure of <6 can be represented by(3x-9). What equation can be written to solve for the value of x?
What is the value of x?
Hence, x has a value of 49 as to find x, we add 9 to both sides and divide the result by 3.
what is angle ?The distance between two intersecting lines or planes is measured in terms of angles. The amount of rotation required to align one of the lines or planes with the other is usually expressed in terms of degrees. The range of an angle is 0 degrees (i.e., no rotation) to 360 degrees (corresponding to a complete rotation).
given
As angles 5 and 7 are a pair of linear angles, their sum must be 180 degrees. Angle 7 therefore has a measure of 180 - 42 = 138 degrees.
We can use the fact that angles 6 and 7 are vertical angles and have the same measure to find the value of x. As a result, we can set the following phrase to indicate that the measure of angle 6 is equal to angle 7:
3x - 9 = 138
In order to find x, we add 9 to both sides and divide the result by 3:
3x = 147
x = 49
Hence, x has a value of 49 as to find x, we add 9 to both sides and divide the result by 3.
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QUESTION 8
In the figure to the right, AB is parallel to CD.
What is the value of m?
A. 7°
B. 44°
C. 46°
D. 49°
Answer: B. 44°
if i'm wrong then its C
pls help
find the area of the composite figure.
Answer:
area=188
Step-by-step explanation:
12×14=168 for the area of the rectangle
2×10=20
20÷2=10 for the area of triangle
168+10+10=188
area=188
Which of the following is a cofactor for some enzymes and is a mineral whose primary route of excretion is through the feces and trace amounts in the urine?
A) chloride
B) copper
C) iron
D) manganese
E) calcium
Iron is required for the production of hemoglobin, which carries oxygen in red blood cells. It is also necessary for the functioning of many enzymes involved in energy metabolism.
The correct answer is (B) magnesium. Magnesium is a cofactor for some enzymes and is a mineral whose primary route of excretion is through the feces and trace amounts in the urine.
What is a cofactor?
A cofactor is a non-protein chemical that helps enzymes function correctly. It can be a metal ion or a small organic molecule. Cofactors work in tandem with the enzyme's active site to help catalyze reactions. Enzymes are protein molecules that assist in biochemical reactions, with each enzyme being specific to a certain reaction. Enzymes act as a catalyst by lowering the energy barrier required for a reaction to occur.
Magnesium is a cofactor for many enzymes that help to regulate nerve and muscle function, as well as glucose metabolism. It is needed for the production of proteins, DNA, and RNA, and it is a vital component of bone health. Magnesium is also necessary for the regulation of heart rhythm and blood pressure. Magnesium deficiencies can lead to muscle weakness, tremors, and seizures. The mineral magnesium's primary route of excretion is through the feces, with trace amounts being excreted in the urine.Calcium is an essential mineral that is involved in the formation and maintenance of bones and teeth, as well as blood clotting, nerve function, and muscle contraction.
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Consider the equation − 2(x + 2) = x − 3(x + 1) − 1. Is it always true, sometimes true, or never true?
Answer: Always true.
Step-by-step explanation: Use algebra. They end up being the same statements, which means x could be whatever and the equation would still be true.
Which expression is equivalent to 0.75a + 10b + a – 2b?
Answer:
1.75a + 8b
Step-by-step explanation:
0.75a + 10b + a - 2b ← collect like terms
= (0.75 + 1a) + (10b - 2b)
= 1.75a + 8b
Answer:
1.75a+8b
Step-by-step explanation:
Given here, 0.75a + 10b + a – 2b = 0.75a+a+10b-2b
=1.75a+8b
Hence, The required equivalent expression is 1.75a+8b
if the dental director wanted to analyze the data collected from the cpi, which type of descriptive statistics should be used to measure central tendencies?
To measure central tendencies in the data collected from the Consumer Price Index (CPI), the dental director should use measures of central tendency, such as the mean, median, and mode.
The mean is the average of a set of numbers and is calculated by adding all the numbers together and then dividing by the total number of numbers. The median is the middle number when the numbers are placed in order from least to greatest. The mode is the number that appears most often in a set of numbers.
Using these measures of central tendency will allow the dental director to gain a better understanding of the CPI data, as they will be able to identify the center point of the data and also see how frequently particular values appear. This can help in making informed decisions about policies and other changes.
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what is the radical equivalent to s^3/2
Answer:
√1.5
Step-by-step explanation:
As a fraction, the square root of 3/2 can be expressed as √1.51 or just as √1.5.
consider the following table. what is the probability of red? red blue total yes 15 21 36 no 38 13 51 total 53 34 87 g
The probability of red is 0.1724, given the following table.
The table provided is given in the form of a contingency table. It is used to display the relationship between two categorical variables or nominal data through frequency distribution. It is also referred to as a two-way frequency table.
The table has "Yes" and "No" categories in the rows and "Red" and "Blue" categories in the columns.
The probability of Red can be calculated using the formula;
P(Red) = (Frequency of Red) / (Total Frequency)
Using the values provided in the table
,P(Red) = 15/87P(Red) = 0.1724
Hence, the probability of red is 0.1724.
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write the third column of the matrix as a linear combination of the first two columns, if possible. (if not possible, enter impossible on both answer blanks.) 1 2 17 9 8 63 6 3 21 1 9 6 2 8 3
This is impossible because the third column does not depend on the first two columns.
The third column's values are linear combination of the first two columns. the third column of the matrix as a linear combination of the first two columns, This can be seen by the fact that the third column has values which don't fit the pattern of the first two columns. For example, the first value in the third column (21) is not equal to an any linear combination of the first two columns. Thus, it is impossible to write the third column as a linear combination of the first two columns.
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please help i don't know how to do it.
Answer:
4g5h¯²
Step-by-step explanation:
36 x g9 x h/ 9x g4 x h³
Divide similar terms
(36/9) x g9-4 x h¹-³
4 x g5 x h¯²
4g5h¯²
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 7, with tick marks every one unit up to 32. The graph is titled Tickets Sold for A Dance. The box extends from 15 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 8 and 31.
Which of the following is the appropriate measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 13.
The IQR is the best measure of variability, and it equals 6.
The range is the best measure of variability, and it equals 13.
The range is the best measure of variability, and it equals 6.
The correct statement regarding the best measure of the variability is given as follows: The IQR is the best measure of variability, and it = 6. The Interquartile Range (IQR of a data-set. As it not affected by outliers, it is the best measure of variability of a data-set. The quartiles for this problem are given as follows: First quartile: Q1 = 15. Third quartile Q3 = 21. Hence the IQR is obtained as follows: IQR = 21 - 15 IQR = 6
Answer: The IQR is the best measure of variability, and it equals 6.
IQR is the best way to measure the variability in this question and its also equal to six. I took the test just now and got it right i cant really explain anything else.
Using a standard deck of cards, Rayna drew one card and recorded its value. She continued this for a total of 200 draws. The table shows the frequency of each card drawn.
Card A 2 3 4 5 6 7 8 9 10 J Q K
Frequency 8 12 11 17 14 12 15 18 13 20 16 24 20
Based on the table, what is the experimental probability that the card selected was a 2, 3, or 4?
The experimental probability of drawing the cards, 2, 3, or 4, from the deck of 52 cards, with the frequency obtained from 200 draws is about 15.5%
What is an experimental probability?An experimental probability is the probability of a specified event taking place, based on repeated trials or sampling.
The number of draws Rayna drew from the standard deck of cards = 200 draws
The frequency of the cards drawn, obtained from the frequency table are;
Frequency of 2 = 8
Frequency of 3 = 12
Frequency of 4 = 11
The experimental probability of drawing a card that has a value of 2 or a card that has a value of 3 or a card that has a value of 4 is therefore;
P(2, 3, 4) = (Frequency of 2 + Frequency of 3 + Frequency of 4)/The total number of draws Rayna drew
P(2, 3, 4) = (8 + 12 + 11)/200 = 0.155 = 15.5%
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PLEASE HELP SOMEONE NEED TO DRAW A NUMBER LINE!!!
Answer=30 I think
Step-by-step explanation:
Blue card chances: 5/25=%20 Afterwards: 4/25=%16/2=%8
Red card chances: 12/25=%48 Afterwards: 11/25=%44/2=%22
Green card chances: 8/25=%32
Red and Blue card chances: %68
Answer=30 I think
Simplify the following expression.
8+16/4 • 5-3
A: 31
B: 25
C: 77
D: 27
Answer:
B.25
Step-by-step explanation:
use PEMDAS (Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction (from left to right).)
mrs. stevens is an inpatient in your hospital. her prescriber just ordered hydroxyzine 10 mg every 8 hours. how many tablets of hydroxyzine 10 mg will you put in mrs. stevens' med cart drawer for a 24-hour fill?
We will need to place three tablets of hydroxyzine 10 mg in Mrs. Stevens' med cart drawer for a 24-hour supply because her prescriber has instructed her to take it every eight hours.
Mrs. Stevens will need to take 10 mg of hydroxyzine three times per day (every eight hours) to comply with the prescription. We will need to figure out how many tablets of hydroxyzine 10 mg she will need for those three daily doses because we need to fill the drawer for 24 hours.
We will require a total of 30 mg per day for three doses, each of which contains 10 mg. Since we are filling it for 24 hours, that means we will need
30 mg x 3 doses = 90 mgfor the entire day. There are 10 mg of hydroxyzine in each tablet., therefore,
90 mg / 10 mg per tablet = 9 tablets of hydroxyzine.However, as we are only using the drawer for three doses, we will require three 10 mg hydroxyzine tablets.
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