\(\sqrt{576 x^4 y^6}\\\\\\=\left(24^2 x^4 y^6\right)^{\tfrac 12}~~~~~~; \left[\sqrt a = a^{\tfrac 12} \right]\\\\\\=(24^2)^{\tfrac 12} \times (x^4)^{\tfrac 12} \times (y^6)^{\tfrac 12}\\\\\\=24^{\tfrac 22} \cdot x^{\tfrac 42} \cdot y^{\tfrac 62}\\\\=24 x^2 y^3\)
which type of article provides a quantitative summary of the evidence?
A type of article that provides a quantitative summary of the evidence is a systematic review and meta-analysis.
A systematic review is a comprehensive and rigorous approach to synthesizing existing research literature on a specific topic. It involves a systematic search for relevant studies, an assessment of their quality and relevance, and a synthesis of the findings.
A meta-analysis, on the other hand, is a statistical method that combines the results of multiple studies to generate a quantitative summary of the evidence.
Systematic reviews and meta-analyses are considered the highest level of evidence in evidence-based medicine and other fields. They provide an objective and rigorous assessment of the available evidence, helping to guide clinical practice, policy decisions, and further research.
By pooling data from multiple studies, meta-analyses can provide more precise estimates of treatment effects or other outcomes of interest.
For more such questions evidence,click on
https://brainly.com/question/30879612
#SPJ8
6.Find the value of x. Don't forget your reasons.
(x-38)
                                                Answer:
x = 109
Step-by-step explanation:
The figure has one pair of parallel sides and is a trapezoid.
The lower base angle is supplementary to the upper base angle on the same side, thus
x + x - 38 = 180 , that is
2x - 38 = 180 ( add 38 to both sides )
2x = 218 ( divide both sides by 2 )
x = 109
Find the area and circumference for 1 and 2.
5. A
1.
14 yd
6.
                                                Segment BD bisects ZABC. Solve for x. Round to the nearest tenth, if
necessary. (Image not necessarily to scale.)
                                                angle ABC is being bisected, meaning the two halves are equal. Segment x and 9 are corresponding, so x = 9
help with my geometry please
                                                Answer:
x = 11
z = 86
Step-by-step explanation:
8x + 6 and 10x-16 are vertical angles
Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.
To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:
8x + 6 - 6 = 10x - 16 - 6
8x = 10x - 22
Now we can subtract 8x from both sides of the equation:
8x - 8x = 10x - 22 - 8x
0 = 2x - 22
To solve for x, we can add 22 to both sides of the equation:
0 + 22 = 2x - 22 + 22
22 = 2x
Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2
x = 11
Therefore, the solution to the equation is x = 11.
Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)
Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.
First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94
180 - 94 = z
z = 86
thomas, carrie and lenny each captain a different one of three hockey teams. each captain will choose four players from a pool of 12 players, with each player chosen for only one team. how many different ways can the teams be formed?
Answer:
Thomas can choose any 4 out of 12 players, which is \($\binom{12}{4}$\) distinct possibilities for a team. Carrie can choose any 4 out of the remaining 8 players, which is \($\binom{8}{4}$\) distinct possibilities for a team. Lenny has only 1 choice for his team, whichever 4 have not yet been chosen. Combining all this yields
\(\frac{12\times11\times10\times9}{4\times3\times2}\times\frac{8\times7\times6\times5}{4\times3\times2} &= 11\times 10 \times 9 \times 7 \times 5 \\&= 99\times 35\times 10 \\&= (3500-35)\times 10 \\&= \boxed{34,650\text{ ways}}.\)
Select all the correct answers.
martha works at a small jewelry store. she designs 2 rings in the first hour. every additional hour, she designs 3 new rings.
select all the functions that can be used to find the number of rings, r(n), she designs in n hours.
Answer:
26
Step-by-step explanation:
If n means 9 then 26 is the correct answer because 9hr. - 1hr. = 8hr. x 3 = 24 rings + 2 rings = 26.
Russel has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell's collection are dated after 2000?
A. 480
B. 720
C. 40
D. 60
Answer:
D. 60
Step-by-step explanation:
Add the percentages of 25% and 35% and you'll get 60.
Answer:
A 480
Step-by-step explanation:
in 2000=480 i don't know how to farther explain it to you.hope that helps.
                                                            Fill in the blank: Some of the most common symbols used in formulas include (addition), - (subtraction), * (multiplication), and / (division). These are called _____.
Some of the most common symbols used in formulas include (addition), - (subtraction), * (multiplication), and / (division). These are called "operators". The correct option is c) operators.
Operators are symbols that represent a specific operation to be performed on one or more values or variables. In mathematics and programming, operators are used to build expressions that represent calculations. The most common operators include addition (+), subtraction (-), multiplication (*), and division (/), which are used to perform basic arithmetic operations.
Other operators include exponents (^), modulus (%), and comparison operators (>, <, =, etc.), which are used for more complex operations. Understanding operators is an essential part of learning mathematics and programming, as they form the building blocks for more complex calculations and algorithms. The correct option is c) operators.
The complete question is:
Fill in the blank: Some of the most common symbols used in formulas include + (addition), - (subtraction), * (multiplication), and / (division). These are called _____.
a) references
b) domains
c) operators
d) counts
For more about operators:
https://brainly.com/question/30340325
#SPJ4
Explain why a simulation model with only discrete probability distributions produces the same results as the corresponding decision tree model even though it uses very different solution methods.
A simulation model with only discrete probability distributions produces the same results as the corresponding decision tree model.
Because both models use probability distributions to represent the uncertainty and randomness of the system being analyzed. The simulation model uses random numbers to generate outcomes based on the probability distributions, while the decision tree model uses branches and probabilities to calculate the expected value of each outcome.
Since both models use the same probability distributions, they will produce the same results when analyzing the same system. The differences in the solution methods arise because the simulation model generates outcomes through random numbers, while the decision tree model uses a deterministic approach to calculate the expected values. However, both models will converge towards the same results with a sufficiently large number of iterations or simulations.
Therefore, a simulation model with only discrete probability distributions can be an effective alternative to a decision tree model, especially when the system being analyzed is complex or has a large number of outcomes. The simulation model provides a flexible and efficient way to analyze the system and can easily incorporate additional factors and variables, making it a powerful tool for decision-making and analysis.
To rephrase, you'd like to know why a simulation model with discrete probability distributions produces the same results as the corresponding decision tree model, even though they use different solution methods.
A simulation model with discrete probability distributions and a decision tree model can both be used to analyze and make decisions under uncertainty. Even though they use different solution methods, they can produce the same results because they are essentially representing the same underlying probability distributions and possible outcomes. 
In a simulation model, the discrete probability distributions are used to generate random variables that represent the uncertain elements of the problem. These random variables are then used to run multiple simulations, allowing the model to capture the range of possible outcomes.
In a decision tree model, the discrete probability distributions are directly represented as branches in the tree. Each branch represents a possible outcome, and the probabilities are assigned to each branch accordingly.
Both methods ultimately provide a way to analyze and make decisions under uncertainty by accounting for the discrete probability distributions. The simulation model does so by running multiple iterations and averaging the results, while the decision tree model does so by directly incorporating the probabilities into the tree structure. Since both methods account for the same underlying probability distributions and possible outcomes, they can produce the same results.
Visit here to learn more about probability:
brainly.com/question/30034780
#SPJ11
please help me fast!! ( It's about y- intercept)
                                                Answer:
The y-int is 1
Step-by-step explanation:
random words
Answer:
y-intercept: (0,1)
Step-by-step explanation:
Solve for y by substituting x with 0:
y = 4x + 1
y = 4(0) + 1
y = 0 + 1
y = 1
Solve for x by substituting y with 0:
0 = 4x + 1
0 = 4x
x = 0
y-intercept = (0,1)
isosceles triangle ... area and y intercept comparison. WORTH 100 points !!!!
                                                
                                                            In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 60 and a standard deviation of 10. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 40 and 80?
Do not enter the percent symbol.
ans = 
 %
Since the range from 40 to 80 is within two standard deviations of the mean,
What is Normal distribution?
Normal distribution is a statistical concept that describes a continuous probability distribution of a random variable. It is also called the Gaussian distribution or bell curve, because of its characteristic shape that resembles a bell. The normal distribution is used to model many natural phenomena in various fields, including science, engineering, finance, social science, and others.
To use the Empirical Rule, we need to know that in a normal distribution:
About 68% of the data falls within one standard deviation of the mean.
About 95% of the data falls within two standard deviations of the mean.
About 99.7% of the data falls within three standard deviations of the mean.
In this case, we want to find the percentage of phone calls answered that are between 40 and 80. To do this, we need to find out how many standard deviations away from the mean these values are.
The lower bound of 40 is 2 standard deviations away from the mean: (40 - 60) / 10 = -2.
The upper bound of 80 is 2 standard deviations away from the mean: (80 - 60) / 10 = 2.
Therefore, we can use the Empirical Rule and say that approximately 95% of the phone calls answered by the receptionists each day fall within two standard deviations of the mean. Since the range from 40 to 80 is within two standard deviations of the mean, we can conclude that approximately 95% of the daily phone calls fall within this range.
Learn more about Normal distribution, by the following link
https://brainly.com/question/16698786
#SPJ1
The length of a rectangle is 7inches more than 4 times the width. The perimeter is 74 inches. Find the length and the width.The length is ? inches and the width is ? inches.
L = lenght = 4w + 7
W = width
Perimeter = 2L + 2W
74 = 2 (4W + 7 ) + 2 W
74 = 8W + 14 + 2 W
74 = 10W + 14
74-14 = 10W
60 = 10W
60/10 = W
6 = W
L = 4W + 7
L= 4(6) +7
L= 24+7
L= 31
Answer:
Lenght = 31 inches
Width = 6 inches
Answer:
6
Step-by-step explanation:
Carmen buys a car for $28,000. The vehicle depreciates by 16% each year. Which of the following is the common ratio (also called the growth factor or decay factor) representing the car's value every year?.
The common ratio (also called the growth factor or decay factor) representing the car's value every year is 0.84 and in percentage is 84%
From the question, we have the information available are:
Carmen buys a car for $28,000.
The vehicle depreciates by 16% each year.
We have to find the common ratio (also called the growth factor or decay factor) representing the car's value every year.
Now, According to the question:
Firstly, we have find the value of car in the next year:
Value next year = (100% - 16%) × 28,000
Value next year = 84% × 28,000
Value next year = 23,520
The value of the car in the next year is $23,520
Now, Find the common ratio:
Ratio = value of next year/value of recent year
Ratio = 23,520 / 28,000
Ratio = 0.84
Learn more about Common ratio at:
https://brainly.com/question/17630110
#SPJ4
Are points G, K, and F collinear or noncollinear?
                                                Answer:
Collinear because the points are all connected to each other
Noncollinear would be like Point G, I, and B (Because they're separated)
Step-by-step explanation:
Spot the Dog gained 4 3/4 ounces each week for the first 6 weeks of his
life. How much weight did Spot the Dog gain during this time?
The weight gained by the spot dog during his time is 57/2 ounces.
What are mathematical operations?An operation is a function in mathematics that converts zero or more input values, also known as "operands" or "arguments," into a clearly defined output value. The operation's complexity is determined by its operand count.
The most frequently studied operations are unary operations (i.e., operations of arity 1), which include additive inverse and multiplicative inverse, as well as binary operations (i.e., operations of arity 2), which include addition and multiplication. The nullary operation, also known as an operation of arity zero, is a constant. A ternary operation, also known as an operation of arity 3, is an example of the mixed product.
Given that, spot the Dog gained 4 3/4 ounces each week for the first 6 weeks of his life.
Convert the mixed fraction into improper fraction:
4 3/4 = 19/4 ounces
The weight gained for 6 weeks is:
19/4 (6) = 114/4 = 57/2
Hence, the weight gained by the spot dog during his time is 57/2 ounces.
Learn more about integers here:
https://brainly.com/question/1768254
#SPJ1
what information does a probability model give
A probability model gives information about the likelihood of different outcomes of a random event or experiment.
A probability model is a mathematical tool used to describe the likelihood of different outcomes in a random event or experiment. It provides information about the distribution of probabilities associated with the different possible outcomes, and can be used to make predictions about the likelihood of specific events occurring.
Probability models can be simple or complex, depending on the nature of the event or experiment being modeled, and can be used to make predictions in a wide range of fields, from finance to physics. By providing a framework for understanding the distribution of probabilities associated with different outcomes, probability models allow us to make informed decisions and assess risk in a variety of contexts.
Learn more about probability model:
https://brainly.com/question/30214207
#SPJ4
the local internet company charges $28 per hour during the day and $9.50 per hour at night. Esther paid $552 for 25 hours of use. The system of equations that represents this scenario is shown below, where d is the number of daytime hours and n is the number of nighttime hours. How many daytime hours and nighttime hours was Esther charged for? 
28d+9.50n=552
d+25
a. 21 daytime hours and 4 nighttime hours 
b. 8 daytime hours and 7 nighttime hours
c. 17 daytime hours and 8 nighttime hours
d. 12 daytime hours and 13 nighttime hours
Answer:
Step-by-step explanation:
The given system of equations is:
28d + 9.5n = 552
d + n = 25
We can solve for one of the variables in the first equation and substitute that value into the second equation. Let's solve for d:
28d + 9.5n = 552
d = (552 - 9.5n) / 28
Now we can substitute this expression for d into the second equation:
d + n = 25
(552 - 9.5n) / 28 + n = 25
552 - 9.5n + 28n = 700
18.5n = 700 - 552
18.5n = 148
n = 8
So, we have found that n = 8, which represents the number of nighttime hours. To find the number of daytime hours, we can use the value of n and the first equation:
28d + 9.5n = 552
28d + 9.5 * 8 = 552
28d + 76 = 552
28d = 476
d = 17
Therefore, Esther was charged for 17 daytime hours and 8 nighttime hours, so the answer is (c) 17 daytime hours and 8 nighttime hours.
Jon and Erin are purchasing a new TV and stereo surround system for their living room. The cost of both items is $1675.00. They are purchasing them with an installment loan that has an APR of 12%. The store financing requires a 10% down payment, and 12 monthly payments. A. Find the amount of the down payment. B. How much will they finance? C. Write an equation for the monthly payment. Use the chart below.
Answer:
$167.50
$1507.50
$134
Step-by-step explanation:
Given that:
Cost of sound system = 1675
APR, = 12%
Down payment = 10%
Number of monthly payments = 12
r = 0.12 / 12 = 0.01
Amount of down-payment :
10% * cost of sound system
0.1 * 1675 = $167.50
Amount to be financed :
$1675 - $167.50
= $1507.50
Monthly repayment :
Using the relation :
A / {[(1+r)^n]-1}/[r(1+r)^n]
1507.5 / (1+0.01)^12-1)/(0.01(1+0.01)^12)
1507.50 / 0.1268/(0.01 * 1.1268)
1507.50 ÷ (0.1268/0.01126)
1507.50 ÷ 11.25
= $134
35% of the dogs at a dog show are German shepherds. 10% of the dogs are poodles, 45% of the dogs are spaniels, and the rest were retrievers.
Witch statement is not true 
A) There are more spaniels than any other type of dog at the show.
B) Retrievers account for 15% of the dogs at the show.
C) Retrievers and German shepherds account for 45% of the dogs at the show.
D) There are more German shepherds than retrievers at the show.
6th grade mathematics.
The information in assertion 2 that says Retrievers make up 15 percent of the dogs at the event is untrue.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, 35% of the dogs at a dog show are German shepherds. 10% of the dogs are poodles, 45% of the dogs are spaniels, and the rest were retrievers.
Since the rest dog breed was retrievers,
Thus, retrievers = 100- 45-35-10
retrievers = 10%
Therefore, statement 2 which states Retrievers account for 15 percent of the dogs at the show is incorrect.
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ1
Directions: Use the ruler to measure the line segments.
                                                The length of each line a , b and C are 0.1875, 0.5625 and 1 inch(es) respectively
From the measuring rule given ;
Each successive tick marks is (1/16) = 0.0625 inchesTherefore, using the value per tick value calculated above , we can deduce the length of the each line.
The measure of 'a':
3 ticks * 0.0625 = 0.1875 inchesThe measure of 'b':
9 ticks * 0.0625 = 0.5625 inchesThe measure of 'c':
16 ticks * 0.0625 = 1 inchLearn more on length :https://brainly.com/question/15979593
#SPJ1
an item is regularly priced at $60. it is on sale for 60% off the regular price. How much (in dollars) is discounted from the regular price?
Answer:
$36 off
Step-by-step explanation:
$60 x 0.60 = 36
if you need the total cost of the item just 60 - 36 = 24
so you get $36 off of 60
and the new cost would be $24
Write the expression 16x + 28 as a product using the GCF as one of the factors.
Please help.
                                                Answer:
4(4x + 7)
Step-by-step explanation:
To answer this question you need to understand what GCF is
GCF is Greatest Common Factor
GCF is the highest number that divides exactly into two or more numbers.
The expression is 16x + 28
The highest number that can divide 16 and 28 is 4
Dividing 16x + 28 gives => 16x/4 + 28/4 => 4x + 7
So the factored expression is
4(4x + 7)
                                                            The line plot shows the favorite color of the students in the class. How many students liked red or blue? A. 9 B. 20 C. 25 D. 45
The line plot shows the favorite color of the students in the class. Option A, 9 students liked red or blue.
The line plot presents four columns with red, blue, orange, and yellow colors at the bottom. The number of students liking the color is represented by the x variable. The line plot presents five x in the column of red and four x in the column of blue. Therefore, a total number of students liking the color red and blue are option 9.
A line plot or line chart presents a chart along the number line. Line dots are often used in the line chart but variables can be presented by alphabet as well. It presents the frequency of the number of times the variable is presented in the data. If the data is big in numbers, the legend is used to present the variable. For instance, the legend of the line plot is x. Therefore, x = 5 students.
Learn more about line plot here https://brainly.com/question/27246403
#SPJ4
Answer:
A
Step-by-step explanation:
how many sides does a regular polygon have each interior angle of which is measure 120
Answer:
12
Step-by-step explanation:
step by step explanation
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Find the area of the parallelogram. Hieght:8cm Base:24cm Side:9cm
The area of the parallelogram is 192 square cm.
Height (h) = 8 cm
Base (b) = 24 cm
Side (s) = 9 cm
We need to find the area of the parallelogram.
Area of a parallelogram = base × height
We know that the base of the parallelogram is b = 24 cm and the height is h = 8 cm.
The formula for the area of a parallelogram is:
A = b × h
On substituting the values in the above equation, we get:
A = 24 × 8 = 192 cm².
To learn more about parallelogram, refer below:
https://brainly.com/question/28854514
#SPJ11
Describe the correlation between highway mileage and engine size
                                                Answer:
As engine size increases, highway mileage decreases.
Step-by-step explanation:
Please Help if you can there’s this is 1 of 14 parts
                                                By using the graph of the function shown above, the solution include the following:
f(-7) = -6.
f(-3) = 9.
What is a function?In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.
This ultimately implies that, an input value (x-value) represents the value on the x-axis of a cartesian coordinate while an output value (y-value) represents the value on the y-axis of a cartesian coordinate.
Based on the information provided about this function, an ordered pair that models the situation is given by;
f(-7) = -6 ⇒ Ordered pair (-7, -6).
f(-3) = 9 ⇒ Ordered pair (-3, 9).
Read more on function here: brainly.com/question/3632175
#SPJ1
Find the first derivative for each of the following:
y = 3x2 + 5x + 10
y = 100200x + 7x
y = ln(9x4)
The first derivatives for the given functions are:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.
For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.
For the function\(y = 3x^2 + 5x + 10:\)
Taking the derivative term by term:
\(d/dx (3x^2) = 6x\)
d/dx (5x) = 5
d/dx (10) = 0
Therefore, the first derivative is:
dy/dx = 6x + 5
For the function y = 100200x + 7x:
Taking the derivative term by term:
d/dx (100200x) = 100200
d/dx (7x) = 7
Therefore, the first derivative is:
dy/dx = 100200 + 7 = 100207
For the function \(y = ln(9x^4):\)
Using the chain rule, the derivative of ln(u) is du/dx divided by u:
dy/dx = (1/u) \(\times\) du/dx
Let's differentiate the function using the chain rule:
\(u = 9x^4\)
\(du/dx = d/dx (9x^4) = 36x^3\)
Now, substitute the values back into the derivative formula:
\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)
Therefore, the first derivative is:
dy/dx = 4/x
To summarize:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For y = 100200x + 7x, the first derivative is dy/dx = 100207.
For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
For similar question on derivatives.
https://brainly.com/question/31399608
#SPJ8