Complete the table by finding the circumference and area of a circle with a radius of 279 inches. Substitute 3.14 for pi. Express your answers to the hundredths place.
fill in the blanks
thx
Answers
Answer:
Circumference = 558π inches
= 1,752.12 inches
Area = π(279^2)
= 77,841π square inches
= 244,420.74 square inches
Related Questions
simplify/solve the follow equationslogA1logAAlog A x Blog (a/b)log A ^ Blog 1/A
Answers
Using the logarithm quotient rule, it can be simplified to log1 - logA. Since log1 = 0 for any base, this simplifies further to -logA.
We simplify and solve the given expressions using the mentioned terms. Here are the step-by-step explanations for each expression:
1. logA: This expression represents the logarithm of a number A to a specified base. Without any base provided, it cannot be simplified further.
2. 1logAA: Since the coefficient of the logarithm is 1, this simplifies to logAA, which represents the logarithm of A to the base A. By definition, logAA = 1.
3. logA x Blog (a/b): This expression seems to have formatting issues, so I'll break it down into two separate expressions: - logA x B: This represents the logarithm of the product AB to a specified base. Using the logarithm product rule, it can be simplified to logA + logB. - log (a/b): This represents the logarithm of the quotient a/b to a specified base. Using the logarithm quotient rule, it can be simplified to loga - logb.
4. log A ^ B: This expression represents the logarithm of A raised to the power of B to a specified base. Using the logarithm power rule, it can be simplified to B * logA. 5. log 1/A: This expression represents the logarithm of the reciprocal of A (1/A) to a specified base.
Using the logarithm quotient rule, it can be simplified to log1 - logA. Since log1 = 0 for any base, this simplifies further to -logA.
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Write the formula that shows the dependence of the volume V of a cube on the length a of its edge.
Answers
Answer: a^3
Step-by-step explanation:
if a cube is made up of the same measurements LxWxH will be the same number for example: a cube with a side length of 2 will have its width length and height 2 therefore the volume will be 2^3 or 8
how many pages have the three students read combined? a 350 pages b 305 pages c 295 pages d 195 pages
Answers
The three students have read a total of 950 pages combined.
To find out how many pages the three students have read combined, we need to add up the number of pages read by each student.
Let's label the students as A, B, and C and the number of pages they have read as a, b, and c, respectively. According to the given information, we have:
a = 350
b = 305
c = 295
To find the total number of pages read by all three students, we need to add up a, b, and c:
a + b + c = 350 + 305 + 295 = 950.
To find the total number of pages read by the three students, we need to add up the number of pages read by each student. This can be done by simply adding the values of a, b, and c. In this case, the total number of pages read by all three students is 950.
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DIG DEEPER A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit is $11. The manager uses a coupon that applies a 40% discount to the total cost of the two items. How much money does the pool manager pay for each item?
chlorine tablets: $___
pH test kit: $___
Answers
The amount of money that the pool manager paid for each item are as follows;
chlorine tablets: $54.
pH test kit: $6.6.
How to determine the sale price of this dictionary?In this scenario and exercise, we would determine the sales price after a discount of 40 percent is applied to the total cost of the two items as follows;
Discount of 40% off = 100 - 50
Discount of 40% off = 60%
Next, we would calculate 50 percent of the original price of of each item as follows;
New sales price for chlorine tablets = 60/100 × 90
New sales price for chlorine tablets = 0.6 × 90
New sales price for chlorine tablets = $54.
New sales price for pH test kit = 60/100 × 11
New sales price for pH test kit = 0.6 × 11
New sales price for pH test kit = $6.6.
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Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She missed the first 3 questions. Right now she just hopes to break even. Which statement is true?
Answers
" To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0 "
How can she break even?Liza omitted three questions.
Liza's score is therefore 3 * (-2) = - 6
Say Liza correctly responds to a question.
so, score = 3n.
3n - 6 = 0
=> 3n = 6
=> n = 2
the appropriate statement is;
Given that Liza currently has -6 points and a score of 0 as a result, she needs to properly answer 2 questions in order to receive 6 points in order to break even.
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Missing parts;
Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She missed the first 3 questions. Right now she just hopes to break even. Which statement is true?
To break even, Liza must answer 3 questions correctly to cancel out the 3 she answered incorrectly.
To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
To break even, Liza must answer 6 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
To break even, Liza must answer 1 question correctly, because she needs 3 points to cancel out the 3 questions she answered incorrectly
Below is the graph of a trigonometric
function. It intersects its midline at
(1.25, -2.75), and it has a minimum point
at (4.75, -6.25).
什 +
-6 -4 -2
I
4
3
2
1
-2
-3 +
GA
-4
Y
-5+
-6
-7-
-8-
co
-9
2
4 6
(1.25, -2.75)
8
(4.75, -6.25)
10 12 14
I
→x
I
What is the amplitude of the function?
I
Answers
The amplitude of the trigonometric function is found as 4.5.
What is a trigonometric function?The trigonometric functions are described as those real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
When we refer to the graph, it is found to intersect the midline at (1.25, -2.75),
We know that the minimum value of the function is 6.25 units below the midline.
Therefore, we can then define amplitude of the function as the half the distance between the maximum and minimum values.
Amplitude = (maximum - minimum) / 2
Amplitude = (2.75 + 6.25) / 2
Amplitude = 4.5
We then can conclude that the graph of a trigonometric function. that intersects its midline at (1.25, -2.75), and it has a minimum point at (4.75, -6.25) is 4.5.
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There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement.
You will discover through this project whether a human's arm span (measured across the body with the arms extended) is correlated to his height.
You will need to collect data from 11 people, which will give you 12 data points including your own personal data. You will turn in and answer questions regarding only one scatter plot if doing the project alone. You may use the sample data provided in Part One if you do not have 11 people to measure.
Part One: Measurements
Measure your own height and arm span (from finger-tip to finger-tip) in inches. You will likely need some help from a parent, guardian, or sibling to get accurate measurements. Record your measurements on the "Data Record" document. Use the "Data Record" to help you complete Part Two of this project.
Measure 11 additional people, and record their arm spans and heights in inches. You may use the sample data provided in the table if you do not have 11 people to measure.
Arm Span (inches) Height (inches)
58 60
49 47
51 55
19 25
37 39
44 45
47 49
36 35
41 40
46 50
58 61
Part Two: Representation of Data with Plots
Using graphing software of your choice, use a scatter plot of your data. Predict the line of best fit, and sketch it on your graph.
Copy and paste your scatter plot into a word processing document.
Part Three: The Line of Best Fit
Include your scatter plot and the answers to the following questions in your word processing document:
Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
Write the equation of the line of best fit using the slope-intercept form of the line y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
Test the residuals of two other points to determine how well the line of best fit models the data.
Use the line of best fit to help you to describe the data correlation.
Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
According to your line of best fit, what is the arm span of a 74-inch-tall person?
05.06 Scatter Plots and Line of Best Fit—Option 1 Rubric
Requirements Possible Points Student Points
Student creates a scatter plot correctly according to submitted data. 3
Student shows that the line of best fit goes through the center of the data. 2
Student answers Question 1 correctly by determining which variable should be on which axis. 2
Student answers Question 2 correctly, presenting a reasonable equation for the line of best fit given the data. 3
Student answers Questions 3 through 7 correctly based on the data provided (2 points each). 10
Answers
Step-by-step explanation:
I'm sorry! Although, I cannot perform the physical measurements required for this project, I can provide some guidance on how to approach the project.
Part One of the project involves measuring the heights and arm spans of 11 people, in addition to your own measurements. If you do not have access to 11 people to measure, you can use the sample data provided in the table.
Part Two of the project involves creating a scatter plot of the data using graphing software of your choice. You should also predict the line of best fit and sketch it on your graph.
Part Three of the project involves analyzing the scatter plot and the line of best fit. You will need to determine which variable should be plotted on the x-axis and which should be plotted on the y-axis. You should also write the equation of the line of best fit using the slope-intercept form of the line y = mx + b and explain what the slope and y-intercept represent within the context of your graph.
Additionally, you will need to test the residuals of two other points to determine how well the line of best fit models the data, use the line of best fit to describe the data correlation, and use the line of best fit to approximate the height of a person with a given arm span and vice versa.
Make sure to follow the rubric provided and include your scatter plot and answers to the questions in a word processing document.
What is the mean and median of the data 4,8,11,6,4,5,9,10,10,4
Answers
Step-by-step explanation:
1. The mean of the data given is 7.1
2. The median of the data given is 7
ADDITIONAL:
3. The mode is 4
4. The range is 7
5. The minimum is 4
6. The maximum is 11
7. There are no outliers
If you invest 40% of your money in A and 60% in B, what is the expected rate of return and how much process of your first first directory isbao S?
Answers
The portfolio's expected rate of return and standard deviation is B) 9.9%; 1.1%
How to calculate the valueState Portfolio Return of 1,2,3,4,5is caluclated as:- First 1=40%*10%+60%*8%=8.8000%,
Second.=40%*13%+60%*7%=9.4000%,
Third=40%*12%+60%*6%=8.4000%,
Fourth =40%*14%+60%*9%=11.0000%,
Fifth =40%*15%+60%*8%=10.8000% and
Portfolio
Expected return=0.10*8.8%+0.20*9.4%+0.20*8.4%+0.30*11%+0.20*10.8%=9.9%
Portfolio Standard Deviation= ✓(0.10*(8.8%-9.9%)² +0.20*(9.4%-9.9%)²+0.20*(8.4%-9.9%)² +0.30*(11%-9.9%)² +0.20*(10.8%-9.9%)²)=1.1%
The correct option is B) 9.9%;1.1%
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If you invest 40% of your money in A and 60% in B, what would be your portfolio's expected rate of return and standard deviation?
A) 9.9%; 3%
B) 9.9%; 1.1%
C) 11%; 1.1%
D) 11%: 3%
E) 10.6%; 2.1%
The rectangles below have the same area. 9 in 12 in 18 in What is the perimeter of the gray rectangle?
Answers
The perimeter of the gray rectangle, given that both rectangles have the same area, is 48 inches
How to find the perimeter ?First, find the area of the first rectangle by the formula :
= Length x Width
= 9 x 12
= 108 inch ²
This means that the perimeter of the gray rectangle is 108 inch ² as well. The missing dimension would be:
Area = Length x Width
108 = Length x 18
Length = 108 / 18
Length = 6 inch
The perimeter is then :
= 18 + 18 + 6 + 6
= 48 inches
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Which expenses for the month of July had a negative variance we’re more than the amount budgeted
Answers
For the fixed expenses, Penders spends $150 less than the budgeted amount.
What is a Budget?A budget is a written plan that you make to decide how much money you will spend each month. A budget can help you ensure that you have enough money each month. If you don't have a budget, you may run out of money before your next payday. Your budget reveals how much money you make.
The three major budgets are as follows:
Budget that is balanced. A balanced budget is one in which the expected government expenses equal the estimated government receipts during a given fiscal year.
Budget Surplus. The surplus budget is the second of the three types of budgets.
Budget Deficit.
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help me pleaseeeeeee
Answers
We know the sum of the interior angles equals 180 degrees.
Given 30 and 42 degrees, we can find the third using subtraction.
180 - 30 - 42 = 108 degrees.
Angle two can be found because we know a straight angle sum is 180 degrees. We know angle 1 is 108.
180 - 108 = 72 degrees for angle 2.
Angle 2 is also an opposite exterior angle and it’s angle will equal to the opposite interior angles 30 and 42, or 72.
An element with mass 640 grams decays by 7.3% per minute. How much of the element is remaining after 8 minutes, to the nearest 10th of a gram?
Answers
Approximately 330.7 grams of the element remain after 8 minutes.
We can use the exponential decay formula to solve this problem
A = A0 * [tex](1-r)^{t}[/tex]
Where A0 is the initial amount, r is the decay rate (expressed as a decimal), t is the time elapsed, and A is the amount remaining.
In this problem, we have
A0 = 640 grams
r = 0.073 (since the element decays by 7.3% per minute, the decay rate is 0.073 per minute)
t = 8 minutes
Plugging these values into the formula, we get
A = 640 * [tex](1 - 0.073)^{8}[/tex]
A = 640 * 0.516289
A = 330.65136
Rounding this to the nearest tenth of a gram, we get
A ≈ 330.7 grams
Therefore, approximately 330.7 grams of the element remain after 8 minutes.
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How much should be invested now at an interest rate of 5% per year, compounded continuously, to have $3000 seven years? Do not round any intermediate computations, and round your answer to the nearest cent
Answers
Approximately $2256.94 needs to be invested now at an interest rate of 5% per year, compounded continuously, to have $3000 after 7 years.
To solve this problem, we need to use the formula for continuous compounding, which is:
A = P[tex]e^{(rt) }[/tex]
Where A is the amount of money accumulated after t years, P is the principal amount invested, r is the interest rate, and e is the mathematical constant 2.71828...
In this case, we want to find the amount of money P that needs to be invested now to accumulate $3000 after 7 years at an interest rate of 5% per year, compounded continuously.
Plugging in the values given in the problem, we get:
3000 = P[tex]e^{(0.05 \times 7)[/tex]
3000 = P[tex]e^{0.35[/tex]
Dividing both sides by [tex]e^{0.35[/tex], we get:
P = 3000 / [tex]e^{0.35[/tex]
P = 2256.94
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A laptop is sold for Nu 45,000. This includes the mark-up amount of Nu 3200. What is the cost price of the laptop and its mark-up percent?
Answers
Answer: 41800, 7.6555%
Step-by-step explanation:
The laptop sold for 45000 nu with a markup of 3200 nu.
This means the price of the laptop was (45000-3200) nu before the markup, or 41800 nu.
To find the mark-up percent, divide 3200 by 41800.
That will give you a percent of 7.6555
To double check that this is correct, multiply 41800 by 1.076555, and you'll get 45000 nu.
Farmer Johnson is fencing in a rectangular area for his cows. The field has an area of 2,156.8 feet with a length of 32 feet. What is the perimeter of his field?
Answers
The width and perimeter of his field will be 67.4 feet and 198.8 feet, respectively.
Given that:
Area, A = 2,156.8 square feet
Length, L = 32 feet
Assume L is the length and W is the width. Then the area is given as,
A = L × W
The width of the rectangle will be calculated as,
2,156.8 = 32W
W = 67.4 feet
And the perimeter is calculated as,
P = 2(32 + 67.4)
P = 198.8 feet
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Karen and Lou each raised
money for charity. Karen raised
$90. Lou raised $24.
Select a number under each box
to complete the statement.
Answers
Answer: The answer is Karen needs $11.
Hope this helps!!!!
Step-by-step explanation: Please give Brainlist.
I can answer more of your questions just ask.
Reflect shape A in the line y = -x. y 5 4 3 2 1 A -5 -4 -3 -2 -10 -2 -3 -4 -5 2 3 4 5 X
Answers
Answer:
Coordinates:
(-1,2)
(2,2)
(2,3)
(1,3)
(1,4)
(-1,4)
Step-by-step explanation:
The line y=-x is basically a diagonal going from top left to bottom right.
Quadrilateral CDEF is similar to quadrilateral GHIJ. Find the measure of side JG
Round your answer to the nearest tenth.
F
20
57-5
G
I
с
E
H
40
D
Answers
The measure of side JG is approximately 115 units in the quadrilateral GHIJ.
What is quadrilateral ?
A quadrilateral is a four-sided polygon, which means it is a closed figure with four straight sides. The word "quadrilateral" comes from the Latin words "quadri," which means "four," and "latus," which means "side."
Since quadrilateral CDEF is similar to quadrilateral GHIJ, the corresponding sides are proportional.
Let x be the length of side JG. Then we have:
JG/DE = HI/CF
Substituting the given values, we get:
x/57.5 = 40/20
Simplifying, we get:
x = (57.5 * 40)/20 = 115
Therefore, the measure of side JG is approximately 115 units.
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Kevin measured a picnic area near the river and made a scale drawing. The scale he used was 7 inches = 1 yard. What is the drawing's scale factor?
Simplify your answer and write it as a fraction.
Answers
The drawing's scale factor is 7/36, which is a simplified fraction.
The scale factor of Kevin's drawing is the ratio of the length in the drawing to the actual length. We are given that the scale he used was 7 inches = 1 yard. Since 1 yard is equal to 3 feet, which is equal to 36 inches, we can write:
1 yard = 36 inches
Therefore, the scale factor is:
drawing length / actual length = 7 inches / 36 inches
Simplifying, we get:
drawing length / actual length = 7/36
Therefore, the drawing's scale factor is 7/36, which is a simplified fraction
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3(y-x)-2(5x-4y)-(-8x+2y)+4x-7y if x= -4 and y=8
Answers
Answer:
84
Step-by-step explanation:
3(y-x)-2(5x-4y)-(-8x+2y)+4x-7y if x = -4 and y = 8
3(8 -(-4) - 2(5(-4)-4(8) -(-8(-4) + 2(8)) + 4(-4) - 7(8)
= 3(12) - 2(-20 - 32) - (-32 + 16) - 16 - 56
= 36 - 2(-52) - (-16) - 16 - 56
= 36 + 104 + 16 - 16 - 56
= 140 + 16 - 16 - 56
= 156 - 16 - 56
= 140 - 56
= 84
In circle P, PQ = 3 and m/QPR = 45°. Find the area of shaded sector. Express
your answer as a fraction times πT.
Answer
Answers
The calculated value of the area of shaded sector is 1.125π
Finding the area of shaded sector.From the question, we have the following parameters that can be used in our computation:
Radius, PQ = 3 units
Central angle, QPR = 45 degrees
The area of shaded sector is calculated as
Area = Central angle/360 * π * Radius^2
Substitute the known values in the above equation, so, we have the following representation
Area = 45/360 * π * 3^2
Evaluate
Area = 1.125π
Hence, the area is 1.125π
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find the missing side of each triangle. Leave your answers in simplest radical form
Answers
Answer:
5√5.
Step-by-step explanation:
Pythagoras.
x^2 = 15^2 - 10^2
= 225 - 100
= 125
x = √125
= 5√5.
A factory adds three red drops and two blue drops of coloring to white paint to make each pint of purple paint. The factory will make 50 gallons of this purple paint. How many drops of red and blue coloring will the factory need in the 50-gallon batch of purple paint?
Answers
Answer: 300 drops of paint
Step-by-step explanation:
6X5=30 6X50=300
SOMEONE HELPP FASTTT
Answers
The value of n in the given expression is 4.
Given that an expression 8⁹ = 8ⁿ·8⁵ we need to find the value of n,
So,
8⁹ = 8ⁿ·8⁵
8⁹/8⁵ = 8ⁿ
8⁽⁹⁻⁵⁾ = 8ⁿ
8ⁿ = 8⁴
n = 4
Hence the value of n in the given expression is 4.
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You have 73 pictures to put in a photo album.
Each page of the album holds 8 pictures.
How many pages in the photo album will be completely filled?
Answers
Answer: 9 pages in the photo album will be completely filled.
Step-by-step explanation:
To determine how many pages of the photo album will be completely filled, we need to divide the total number of pictures by the number of pictures per page:
73 pictures ÷ 8 pictures per page = 9.125
Since we can't have a fraction of a page, we need to round up to the nearest whole number.
9.125 rounded to the nearest whole number is 9.
Find the equation of the linear relationship.
Answers
Using the slope and y-intercept, the linear relationship is y = 512x
What is the equation of the linear relationshipTo find the equation of the linear relationship, we can proceed to use the formula of equation of a straight line. This is given as y = mx + c
The equation of a straight line is given as y = mx + c
m = slopec = y - interceptTaking two points from the table;
(2, 512) and (15, 3840)
m = y₂ - y₁ / x₂ - x₁
m = 3840 - 512 / 15 - 2
m = 256
Using the slope to find the y - intercept;
y = mx + c
512 = 256(2) + c
512 = 512 + c
c = 512 - 512
c = 0
The equation of line is y = 512x
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Find the slope and y-intercept for the graph of the equation: 4x - 2y = 24
Answers
Answer:
Slope = 2
Y - intercept = (0, -12)
Step-by-step explanation:
I did the quiz!
what percentadge would be in each eighth of a circle
Answers
Answer:
12.5%
Step-by-step explanation:
...............
what’s correct answer
Answers
Answer:
B
Step-by-step explanation:
B is the correct answer because it is the only answer that has the starting point right. because the equation is y= 4x -3 that means you must start at (0,-3) before you start drawing the line
