A circular plate has a circumference of 34.54in. What is the area? Use 3.14 for pie and round to the nearest square inch.
Answers
The area of the circular plate is 9234 inches²
How to find area of the circular plate?The plate is circular and have a circumference of 34.54 inches.
Hence, let's find the radius of the circular plate using the circumference of the circular plate.
circumference of the circular plate = 2πr
where
r = radiusTherefore,
34.54 = 2π × r
r = 34.54 / 2π
r = 17.27π
Therefore,
area of the circular plate = πr²
area of the circular plate = π × ( 17.27π)²
area of the circular plate = π³ × 298.2529
area of the circular plate = 3.14³ × 298.2529
area of the circular plate = 9233.65447952
area of the circular plate = 9234 inches²
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Related Questions
Which table shows a proportional relationship between x and y? A 1 0 2 3 3 6 B 1 1 2 3 3 5 C 1 2 2 4 3 6 D 1 3 2 5 3 7
Answers
The second table shows a proportional relationship between x and y.
What is a proportional relationship?
When their ratios are equivalent, proportional relationships between two variables emerge. They can also be thought of in terms of a proportionate connection, where one variable always equals the value of the other's constant.
We are given four tables. In order to find the table with proportional relationship, we will evaluate each table.
A. This does not depict a proportional relationship as there is not a constant change in the output.
B. This depicts a proportional relationship as the output is changing with a constant term 2.
C. This does not depict a proportional relationship as there is not a constant change in the output.
D. This does not depict a proportional relationship as there is not a constant change in the output.
Hence, the second table shows a proportional relationship between x and y.
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Question: Which table shows a proportional relationship between x and y?
A. x y
1 0
2 3
3 6
B. x y
1 1
2 3
3 5
C. x y
1 2
2 4
3 6
D. x y
1 3
2 5
3 7
3. Which among the statements is true?
a. Every parallelogram is a rhombus.
b. Every rectangle is a square.
c. Every rhombus is a rectangle.
d. Every square is a rectangle.
Answers
What is the probability that the sample proportion is between 0.2 and 0.42?
Answers
The probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution.
To calculate the probability, we need to assume that the sample proportion follows a normal distribution. This assumption holds true when the sample size is sufficiently large and the conditions for the central limit theorem are met.
First, we need to calculate the standard error of the sample proportion. The standard error is the standard deviation of the sampling distribution of the sample proportion and is given by the formula sqrt(p(1-p)/n), where p is the estimated proportion and n is the sample size.
Next, we convert the sample proportion range into z-scores using the formula z = (x - p) / SE, where x is the given proportion and SE is the standard error. In this case, we use z-scores of 0.2 and 0.42.
Once we have the z-scores, we can use a standard normal distribution table or a statistical software to find the corresponding probabilities. The probability of the sample proportion falling between 0.2 and 0.42 is equal to the difference between the two calculated probabilities.
Alternatively, we can use the z-table to find the individual probabilities and subtract them. The z-table provides the cumulative probabilities up to a certain z-score. By subtracting the lower probability from the higher probability, we can find the desired probability.
In conclusion, the probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution and z-scores. This probability represents the likelihood of observing a sample proportion within the specified range.
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A ball thrown horizontally from an apartment balcony hits the ground in 5 seconds. if the horizontal velocity of the ball is doubled, how long will it take to hit the ground? a. 2.5 seconds b. 5.0 seconds c. 7.5 seconds d. 10 seconds e. 12 seconds
Answers
Still 5 seconds.
(Assuming the Earth around that building is flat.
Every day, Carmen walks to the bus stop and the amount of time she will have to wait for the bus is between 0 and 12 minutes, with all times being equally likely (i. E. , a uniform distribution). This means that the mean wait time is 6 minutes, with a variance of 12 minutes. What is the probability that her total wait time over the course of 60 days is less than 5. 5 hours
Answers
The probability that Carmen's total wait time over the course of 60 days is less than 5.5 hours is approximately 0.0746.
The total wait time over 60 days will have a mean of 360 minutes (6 minutes per day x 60 days) and a variance of 720 minutes (12 minutes per day x 60 days). Since the wait times are uniformly distributed, the total wait time over 60 days will follow a normal distribution.
To find the probability that the total wait time over 60 days is less than 5.5 hours, we need to standardize the value using the z-score formula:
z = (x - μ) / σ
where x is the total wait time in minutes, μ is the mean total wait time in minutes, and σ is the standard deviation of the total wait time in minutes.
Substituting the values, we get:
z = (330 - 360) / sqrt(720) = -1.4434
Using a standard normal distribution table or calculator, we find that the probability of a z-score less than -1.4434 is 0.0746.
Therefore, the probability that Carmen's total wait time over the course of 60 days is less than 5.5 hours is approximately 0.0746.
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1. If the required reserve ratio is 10% and the Fed conducts an open market purchase of $100, what is the maximum possible change in the money supply?
100, 1,000, 10,000 or 10
Answers
The maximum possible change in the money supply is $1000.
In the given question, if the required reserve ratio is 10% and the Fed conducts an open market purchase of $100, we have to find the maximum possible change in the money supply.
The required reserve ratio is 10%.
The Fed conducts an open market purchase of $100.
So the maximum possible change in the money supply is
money multiplier=1/RRR
money multiplier=100/10
money multiplier=10
Open market purchase of $100
Change in money supply is 10*100=$1000
So, the maximum possible change in the money supply is $1000.
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Which angle is complementary to angle BAC?
Answers
The angle which is complementary to angle BAC is ∠ACB which is option (a) .
Two angles are same to be angle if they add up to ninety degrees. In alternative words, once angle are place along, they type a right angle (90 degrees). Angle one and angle two are complementary if the add of each the angles is capable ninety degrees (i.e. angle one + angle two = 90°) and therefore, angle one and angle two are known as enhances of every alternative.From the figure we can see that ΔABC is right angled triangle at B .
∠BAC and ∠ACB on adding gives the right angle ∠CBA .
Hence , on adding ∠ACB to ∠BAC , we get the sum 90° so , ∠ACB is the complementary to angle BAC .
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In order to add
3/4 and 7/10
you need to find equivalent fractions that have the same denominators. What is a common denominator?
Answers
Answer:
a shared multiple of the denominators of several fractions
Explanation : The denominator is the number at the bottom of the fraction and when two fractions have the same number at the bottom(denominator) then they have a common denominator.
What annual payment is required to pay off a four-year, $27,000 loan if the interest rate being charged is 9 percent EAR? What would the monthly payments be for the same loan assuming the same interest rate? Round time value factors to 3 decimal places and final answers to the nearest dollar amount
Answers
The monthly payments for the same loan would be approximately $694.12.
To calculate the annual payment required to pay off a four-year, $27,000 loan at an interest rate of 9 percent EAR, we can use the formula for the present value of an ordinary annuity:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where:
PV = Loan amount = $27,000
PMT = Annual payment
r = Interest rate per period = 9% = 0.09
n = Number of periods = 4
Plugging in these values into the formula, we can solve for PMT:
$27,000 = PMT * (1 - (1 + 0.09)^(-4)) / 0.09
Simplifying the equation, we have:
$27,000 = PMT * (1 - 0.708222) / 0.09
$27,000 = PMT * 0.291778 / 0.09
PMT = $27,000 * 0.09 / 0.291778
PMT ≈ $8,329.40 (annual payment)
To calculate the monthly payments for the same loan, we can divide the annual payment by 12:
Monthly payment = $8,329.40 / 12
Monthly payment ≈ $694.12
Therefore, the monthly payments for the same loan would be approximately $694.12.
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England and Scotland both produce scones and sweaters. Suppose that an English worker can produce 40 scones per hour or 1 sweater per hour. Suppose that a Scottish worker can produce 20 scones per hour or 2 sweaters per hour. _____________ workers have an absolute advantage in producing scones, _______________ workers have an absolute advantage in producing sweaters.
Answers
English workers have an absolute advantage in producing scones, Scottish workers have an absolute advantage in producing sweaters.
How to get workers with absolute advantage?English workers have an absolute advantage in producing scones as they can produce 40 scones per hour,
while Scottish workers can only produce 20 scones per hour. On the other hand, Scottish workers have an absolute advantage in producing sweaters as they can produce 2 sweaters per hour, while English workers can only produce 1 sweater per hour.
Absolute advantage refers to the ability of a country or individual to produce a good or service more efficiently than another country or individual.
This means that the country or individual with the absolute advantage is able to produce the same good or service with fewer resources or in less time. In this case, each country has an absolute advantage in producing one of the goods, scones or sweaters.
Thus,English workers have an absolute advantage in producing scones, Scottish workers have an absolute advantage in producing sweaters.
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d/d{cosec^-1(1+x²/2x)} is equal to
Answers
Step-by-step explanation:
\(\large\underline{\sf{Solution-}}\)
\(\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)\)
Let assume that
\(\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)\)
We know,
\(\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}\)
So, using this, we get
\(\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)\)
Now, we use Method of Substitution, So we substitute
\( \red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}\)
So, above expression can be rewritten as
\(\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)\)
\(\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)\)
\(\rm\implies \:y = 2z\)
\(\bf\implies \:y = 2 {tan}^{ - 1}x\)
So,
\(\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x\)
Thus,
\(\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)\)
\(\rm \: = \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)\)
\(\rm \: = \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)\)
\(\rm \: = \: 2 \times \dfrac{1}{1 + {x}^{2} } \)
\(\rm \: = \: \dfrac{2}{1 + {x}^{2} } \)
Hence,
\( \purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}\)
Hence, Option (d) is correct.
10.2.4:Using the bijection rule to count ternary strings whose digits sum to a multiple of 3. i About Let T={0,1,2}.A string x E T" is said to be balanced if the sum of the digits is an integer multiple of 3 (a) Show a bijection between the set of strings in T that are balanced and T.Explain why your function is a bijection (b) How many strings in T are balanced? Feedback?
Answers
There are 3 balanced strings in set T.
How many balanced strings are in set T?To count the number of balanced strings in the set T={0, 1, 2}, we can establish a bijection between the set of balanced strings and T itself. A balanced string is defined as a string in which the sum of its digits is a multiple of 3.
We can define a function f: T" -> T that maps each string in T" to T by preserving the balanced property. If a string in T" is already balanced, f returns the string itself. If the string is not balanced, f replaces the last digit with digit that makes the sum a multiple of 3.
By showing that this function is both injective (one-to-one) and surjective (onto), we establish a bijection. The bijection rule states that if two sets have a bijection between them, they have the same cardinality. Therefore, the number of balanced strings is equal to the number of elements in T, which is 3.
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in a regression equation, which symbol represents the dependent variable?
a. y
b. x
c. e
d. r
e. none of the above
Answers
The symbol that represents the dependent variable in a regression equation is:
a. y
The dependent variable is the variable that is being predicted or explained by the independent variable(s) in the regression analysis. It is typically represented by the symbol "y" in the regression equation. The independent variable(s) are usually represented by the symbol "x" or other appropriate letters.
In a regression equation, the dependent variable is the variable that we are trying to predict or explain based on the independent variable(s). It is the variable whose value is influenced or determined by the independent variable(s). For example, if we are studying the relationship between income (dependent variable) and education level (independent variable), we want to understand how education level affects or predicts income. In this case, income would be represented by the symbol "y" in the regression equation, as it is the variable we are interested in explaining or predicting. The independent variable(s), such as education level, would be represented by the symbol "x".
Therefore, the correct answer is option a. y.
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Does this table represent a proprtional relationship?
Answers
Answer:
Yes, it is proportional
Step-by-step explanation:
it's proportional because 2 x 4 = 8, 4 x 4= 16, 6 x 4 = 24 and 8 x 4 = 32
Answer:
A. Yes it is proportional
Step-by-step explanation:
answer by me
A new physical therapy is being tested in an experimental setting to see if the new methods reduce the recovery time for patients who recently underwent surgery for a torn ACL, a ligament in your knee. To do this, the researchers in the study first performed intake on participants by observing their Body Mass Index (BMI) and had them take a survey to describe their diet and their exercise habits. Then, the participants were split into three groups: the first group received no physical therapy, the second group received traditional physical therapy, and the third group received the new experimental physical therapy. Identify the response variable in this experiment. O Diet and Exercise Habits Recovery Time Physical Therapy Type Patient BMI
Answers
Recovery Time.
Explanations:What is an experiment?An experiment is a controlled scientific study of specific variables. These variables can take on different values.
For any experiments, there must be at least two variables:
• A manipulated and;
,• A responding variable
A manipulated variable is a variable that is changed by the researcher and it is also called the independent variable.
The response or dependent variable is what the researcher is studying. It is what the researcher predicts will change if the manipulated variable changes.
From the given experiment, we are asked to identify the response variable that is, to identify what the researcher is studying. In this case, it is "the recovery time for patients who recently underwent surgery for a torn ACL".
Hence, we can conclude that the response variable in the experiment is the Recovery Time.
Item 4 Question 1 Determine of which lines, if any, are parallel or perpendicular. Explain. Line a passes through (−2, 1) and (0, 3) . Line b passes through (4, 1) and (6, 4) . Line c passes through (1, 3) and (4, 1) .
Answers
Answer:
Line b and line c are perpendicular.
Step-by-step explanation:
In order to find if the lines are parallel, perpendicular or neither, their slopes have to be found.
Slope is denoted by m and is calculated as:
\(m = \frac{y_2-y_1}{x_2-x_1}\)
Here (x1,y1) and (x2,y2) are the coordinates of the point through which the line passes.
Let m1 be the slope of line a
and line a passes through (−2, 1) and (0, 3)
\(m_1 = \frac{3-1}{0+2} = \frac{2}{2} = 1\)
Let m2 be the slope of line b which passes through (4, 1) and (6, 4)
\(m_2 = \frac{4-1}{6-4} = \frac{3}{2}\)
Let m3 be the slope of line c which passes through (1, 3) and (4, 1)
\(m_3 = \frac{1-3}{4-1} = \frac{-2}{3}\)
When two lines are parallel, their slopes are equal.
When two lines are parallel, the product of their slope is -1
None of the slopes are equal to each other so none of the lines are parallel
And
\(m2.m3\\= \frac{3}{2} * -\frac{2}{3}\\= -1\)
Hence,
Line b and line c are perpendicular.
Use the graph to determine the domain and range of the exponential function.
Answers
Answer:
Domain= possible x values
Range= possible y values.
Domain= all real numbers
Range= all numbers greater than -2.
Let me know if this helps :)
Domain = all real numbers and Range = ( -2 , ∞) of the given exponential graph
What is domain and range of exponential function?
" Domain of exponential function y = aˣ is all the values of x and range is the all calculated values of 'y' after substituting value of x."
General exponential function
y = aˣ
According to the graph,
Given exponential function,
y = 3ˣ - 2
x represents the domain of the function.
y represents the range of the function
compare with exponential equation
a= 3 >1
As the value of 'x' increases value of 'y' moves to infinity.
Therefore, value of y defined for all the values of 'x'.
Therefore,
Domain is set of all real numbers.
Function y is transformed by -2.
Substitute x=0 in y = 3ˣ-2 we get,
y = -2
Therefore,
Range = (-2 , ∞)
Hence, Domain = all real numbers and Range = ( -2 , ∞) of the given exponential graph.
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shape created when a rectangle is rotated about the y-axis
Answers
When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.
When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.
The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.
The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.
This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.
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When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.
When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.
The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.
The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.
This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.
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The 4th term of a sequence is 108. Each term after the first is three times the previous term. Write an expression that represents all 4 terms. Write an equation that represents the 4th term. What are the 4 numbers?
Answers
Answer:
First 4 terms are a, 3a, 3^2 a and 3^3 a.
The numbers are:
4, 12, 36, 108.
Step-by-step explanation:
This is a geometric sequence and we can write it as:
a, ar, ar^2, ar^3 <---- the first 4 terms.
Here the common ratio r = 3 and the 4th term is 108 so:
a(3)^3 = 108
So the first term a = 108 / 3^3
= 108/27
= 4.
So the second number = 3*4 = 12 and 3rd is 12*3 = 36.
Solve the formula a(m+r) -t=s for a.
Answers
9514 1404 393
Answer:
a = (s +t)/(m +r)
Step-by-step explanation:
Add t, then divide by the coefficient of 'a'.
\(a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}\)
2-125. Sara turned in the two graphs below for homework, but her teacher marked
them wrong. Explain to Sara what mistakes she made. Then choose one of her
graphs to correct, copy it on your paper, and correct it.
Answers
Graphs are used to represent functions.
Sara's mistakes are:
Graph A: The intervals on the y-axis are not uniformGraph B: The origin of the graph is wrongly placed.Graph A
When a graph is plotted, the intervals on both axes must be uniform.
In Sara's graph, the intervals on the y-axis do not follow a uniform pattern (i.e. 0, 1, 2, 4, 8)
Instead, she could have used 0, 2, 4, 6, 8.....
Graph B
The origin of a graph is always 0
In Sara's graph, the origin is at -1.
This means that, the wrong origin was used, and the actual origin is wrongly placed.
See attachment for the correction of graph A
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25) A cereal company finds that if it spends $40,000 on advertising, then 100,000 boxes of cereal will be sold, and of it spends $60,000, then 200,000 boxes will be sold. How much advertising is needed to sell 1,000,000 boxes of cereal? *
Answers
We can find the rate of change of cereal sold to amount spent.
From given information,
Increase in boxes of cereal sold is 200,000 - 100,000 = 100,000
Increase in money spent is 60,000 - 40,000 = 20,000
The rate of change of boxes of celear sold to amount spent is:
100,000/20,000 = 5
If we were to write a linear equation of the form y = mx + b, this rate of change would be m.
Thus,
y = 5x + b
Keep in mind, x is amount spent and y is boxes of cereal sold
We need to find b, so we can easily put the point x = 40,000 and y = 100,000 to find b. Shown below:
y = 5x + b
100,000 = 5(40,000) + b
100,000 = 200,000 + b
b = -100,000
Final Equation of the Line:
\(y=5x-100,000\)We need amount of money needed (x) for 1,000,000 boxes of cereal sold (y).
We can substitute and find the answer:
\(\begin{gathered} y=5x-100,000 \\ 1,000,000=5x-100,000 \\ 5x=1,100,000 \\ x=220,000 \end{gathered}\)The third answer choice is correct.
$220,000
AP Statistics TPS 8.3Q. Which of the following changes to a study would result in a narrower confidence interval?answer choices- increasing the confidence level, increasing the sample size- decreasing the confidence level, decreasing the sample size- increasing the confidence level, decreasing the sample size- decreasing the confidence level, increasing the sample size.
Answers
Answer:
Step-by-step explanation:
The correct answer is decreasing the confidence level, increasing the sample size.
A narrower confidence interval means that the range of possible values for the true population parameter is smaller, indicating greater precision in the estimate.
Increasing the sample size will increase the precision of the estimate of the population parameter, thus resulting in a narrower confidence interval.
On the other hand, decreasing the confidence level will also result in a narrower interval. Since the confidence interval represents a range of values that are likely to contain the true population parameter, a lower confidence level means that there is less uncertainty in the estimate of the population parameter, which leads to a narrower interval.
Increasing the sample size and lowering the confidence level are the correct responses.
A narrower confidence interval denotes more accuracy in the estimate because it reduces the range of potential values for the true population parameter.
A narrower confidence interval will be produced by increasing the sample size because it will improve the estimate of the population parameter's precision.
On the other hand, a narrower interval will be produced by lowering the confidence level. A lower confidence level indicates that there is less uncertainty in the estimate of the population parameter, which results in a narrower interval. The confidence interval reflects a range of values that are likely to contain the true population parameter.
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The length of a swing is 2.1m if the length of the arch that is made by the swing is 4.4m calculate the angle swept by the swing
Answers
Answer:
The angle swept by the swing is 120 degrees
Step-by-step explanation:
Here, we are given the radius of the circle that makes the arc, and the length of the arc
Mathematically, we are to find the central angle
That would be;
The length of an arc is;
theta/360 * 2 * pi * r
theta is the central angle we are looking for and r in this case is 2.1 m
Thus, we have it that;
theta/360 * 2 * 22/7 * 2.1 = 4.4
theta = (360 * 4.4 * 7)/(2 * 22 * 2.1)
theta = 120 degrees
How many total hours does a grocery clerk work if he gets 4hr 30 min in the morning and 4 hr 15 min in the afternoon 5 days per week? Would this employee qualify for overtime? If so, how many hours of overtime would this employee qualify for?
Answers
Answer:
Step-by-step explanation:
8 hours 45 minutes a day for 5 days a week.
43.75 hours or 43 hours 45 minutes for total hours.
Depends what the overtime is for your country. Take the difference from overtime and total work.
simplify.
6x+4y-4x+5y+5
Answers
Answer:
2x + 9y + 5
Step-by-step explanation:
Combine like terms:
(6x - 4x) + (4y + 5y) + 5
2x + 9y + 5
Answer:
2, 9, 5
Step-by-step explanation:
These are the numbers to plug into this equation.
A balloon was originally filled to a volume of 4,400 cubic centimeters. air inside the balloon leaks out over time. write an inequality that describes v, the volume of the balloon in cubic centimeters as air leaks out.
Answers
Answer:
V<4400
Step-by-step explanation:
Answer:
the answer is V<4,400
if you are using khan academy, do not add the comma for 4,400, otherwise it will not work.
khan academy answer: V<4400
Step-by-step explanation:
if the air leaked out, which is V, that means V would be less than 4,400 because 4,400 is what we have started with.
Therefore, the inequality would be V<4,400 or for khan academy, V=4400
Am I right or wrong (don't answer the last one!)
Answers
Answer:
1) Distributive Property of Multiplication (The terms are distributed)
2) Addition property of equality (Adding 14 to both sides)
3) Simplifying (We simplified the expression)
4) Division property of equality (Dividing both sides by 6)
Answer:
\(\boxed{\mathrm{view \: explanation}}\)
Step-by-step explanation:
- 14 + 6m = 10
Distributive Property of Multiplication
2 is distributed to -7 and 3m
- 14 + 14 + 6m = 10 + 14
Addition Property of Equality
Adding 14 to both sides.
6m = 24
Simplifying
Simplifying the equation.
\(\displaystyle \frac{6m}{6} =\frac{24}{6}\)
Division Property of Equality
Dividing both sides by 6.
Caroline is building a circular fence for her basil garden. She used 29.8 feet of fencing for the fence. What is the radius of the garden?
Answers
She used 29.8 feet of fencing for the fence -> The circumference of the circular garden is 29.8ft
Formula for circumference : 2πr
So, the radius is equal to : 29.8 : 2 : π = 4.74281730414... (round to 4.7)
Recheck : 4.7 x 2π = 29.5309709437... (close to 29.8)
Please hurry
according to the case study, inuit fishermen are:
highly regulated by the government.
given 24 paid holiday per year.
part of a traditional economy.
all of these choices are correct.
Answers
Given statement solution is :- The fishermen being given 24 paid holidays per year or being part of a traditional economy. Therefore, these options cannot be considered correct based on the given information.
Based on the given information, it appears that the correct answer is "highly regulated by the government." The case study states that the Inuit fishermen are highly regulated by the government, which implies that there are specific rules, regulations, and oversight imposed on their fishing activities.
The information provided does not mention anything about the fishermen being given 24 paid holidays per year or being part of a traditional economy. Therefore, these options cannot be considered correct based on the given information.
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