Answer:
about 25.13
Step-by-step explanation:
because 4×pi×2=25.13
Answer:
C ≈ 25.13
r Radius 4
Step-by-step explanation:
C = 2πr = 2 · π · 4 ≈ 25.13274
umm sorry if this is wrong...
have a great day
<( ̄︶ ̄)>
pls help i need help
Answer: b is correct the one you have selected is right!
Step-by-step explanation:
plz mark brainliest
If you spam answer, I will report you.
Jordan plotted the graph below to show the relationship between the temperature of his city and the number of cups of hot chocolate he sold daily:
Part A: In your own words, describe the relationship between the temperature of the city and the number of cups of hot chocolate sold.
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept.
Answer:
part a:when it was 20 feranheight -50 we had a good rate selling hot chocolate but as it got hotter we decrease our sale
part b the y intercept will probably be 24 if it would had been keep going
Step-by-step explanation:
Answer:
Part A: It seems like the colder it was in his city, the more cups of chocolate he sold that day.
Part B:The line of best fit is y ≈-0.122x+20.944; r ≈ -0.372
Step-by-step explanation:
I added a snapshot of my work on a regression calculator
astrid is in charge of building a new fleet of ships. each ship requires 40 4040 tons of wood, and accommodates 300 300300 sailors. she receives a delivery of 4 44 tons of wood each day. the deliveries can continue for 100 100100 days at most, afterwards the weather is too bad to allow them. overall, she wants to build enough ships to accommodate at least 2100 21002100 sailors. how much wood does astrid need to accommodate 2100 21002100 sailors?
Astrid needs maximum number of 283,080 tons of wood to accommodate 2100 sailors.
Let's start by finding the number of sailors that can be accommodated by the wood delivered each day:
4,440 tons of wood / 40 tons per ship = 111 ships per day
111 ships per day * 300 sailors per ship = 33,300 sailors per day
We can now calculate the maximum number of sailors that can be accommodated during the 100-day delivery period:
33,300 sailors per day * 100 days = 3,330,000 sailors
Since Astrid wants to accommodate at least 2100 sailors, she will need to build at least:
2100 sailors / 300 sailors per ship = 7 ships
Each ship requires 40,4040 tons of wood, so the total amount of wood required to build 7 ships is:
7 ships * 40,4040 tons of wood per ship = 283,080 tons of wood
This amount of wood can be delivered within the 100-day delivery period, as it is less than the total amount of wood delivered during this time (4,440 tons per day * 100 days = 444,000 tons).
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slope of the line that contains the following points: (17, -12) and (12, 8)
si por qué si y si por qué obvio si
Correct answer gets brainliest and 5 stars
Answer:
B
Step-by-step explanation:
Help me please
A. 3.0
B. 1.8
C. 1.0
D. 2.5
Answer:
The average GPA would be 1.8
Step-by-step explanation:
Hope this is helpful. I did a test like this exact question and I got it right.
Can someone help me with these questions
Answer:
1. MO=14 units
2. M=3
3.X=5
Step-by-step explanation:
1. The length is just how many units between each point
2. Find the average of the two points (use absolute value)
(|-4|+10)÷2=(4+10)÷2=14÷2=7, the midpoint is 7 units from each endpoint. so 10-7=3
3. the length of the line ac=10x, the parts are 12 and 8x-2 set up an equation
10x=12+8x-2 combine like terms
2x=10 divide both sides by 2
x=5
Step-by-step explanation:
1. 10-(-4)
10+4=14
3. AB+BC=AC
12+8X-2=10x
10+8x=10x
10= 10x-8x
10=2x
5=x
therefore x=5
i am sorry i do not know number 2
I’m stuck. What’s a reciprocal?
Answer:
When flipping a fraction it is called the reciprocal
Step-by-step explanation:
Is this a function? Easy points
What is the vertex focus and directix of the parabola with equation x^2+8x+4y+4=0
Answer: \(x = \sqrt{14-4y-4} \\x=\sqrt{14-4y-} \\4, y \leq \frac{7}{2}\)
Step-by-step explanation: steps using the quadratic formula
all equations of form a\(x^{2} + bx + c= 0\) can be solved using the quadratic formula: The quadratic formula gives two solutions, one when ± is addition and when it is subtraction. This will take for ever to explain but I think u get the point
Consider a DFA over ∑={a,b} accepting all strings which have number of
a’s divisible by 6 and number of b’s divisible by 8. What is the number
of states that the DFA will have? [ ]
A) 8 B) 14 C) 15 D) 48
18. What is the minimum number of states in the NFA accepting the
language {a, ab} ? [ ]
A) 3 B) 2 C)1 D) 4
19. What is the number of states in NFA which accepts set of all strings in
which the third last symbol is ‘a’ over alphabet {a, b}? [ ]
A) three B) four C) six D) five
The minimum number of states in the NFA accepting the language {a, ab} is 3. The NFA that accepts strings where the third-last symbol is 'a' over the alphabet {a, b} has five states.
For the DFA accepting strings with a number of 'a's divisible by 6 and 'b's divisible by 8, we can use the principle of the product construction. Since we need to consider both divisibility by 6 and divisibility by 8, the DFA will have states corresponding to all possible remainders when dividing the count of 'a's by 6 and the count of 'b's by 8. The remainders can range from 0 to 5 for 'a' and 0 to 7 for 'b', resulting in a total of 6 * 8 = 48 states. However, some states may be equivalent, so we can apply minimization techniques such as the Hopcroft's algorithm or table-filling algorithm to reduce the number of states. After minimization, the DFA will have 15 states (option C).
For the NFA accepting the language {a, ab}, we need to consider all possible transitions for each symbol in the alphabet. In this case, we have two symbols, 'a' and 'b'. The NFA should have states corresponding to different combinations of these symbols, including the empty string. We can start with an initial state and create transitions for 'a' and 'ab' accordingly. Since we have three possible transitions for 'a' (i.e., to a state accepting 'a', to a state accepting 'ab', or to a dead state), and one transition for 'ab' (to a state accepting 'ab'), the minimum number of states in this NFA is 3 (option A).
For the NFA accepting strings where the third-last symbol is 'a', we can again use the principle of the product construction. We need to consider the position of the third-last symbol in the string, which can be either 'a' or 'b'. The NFA will have states representing the different possibilities for the third-last symbol, including 'a' or 'b' as the third-last symbol. Since we have two possible transitions for each symbol in the alphabet ('a' or 'b') and three possible positions for the third-last symbol, the NFA will have a total of 2 * 3 = 6 states. However, we also need to consider the possibility of an empty string, which adds one more state. Hence, the NFA will have a total of 6 + 1 = 7 states (option D).
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find the derivatives of cos 2x
Hope the above helps you......
Mr.chong has some money to buy tins of paint. if he buys 18 tins of paint. he will need another $80. if he buys 10 tins of paint, he will have $32 left.
Amount of one tin of paint is $14 and the total amount Mr. Chong have is $172.
Let amount of one tin of paint = x
Let the total amount Mr. Chong having = y
On buying 18 tins of paint, he will need another $80. This can we mathematically represented as,
18x = y + 80
On rearranging this equation can be written as,
18x - y = 80 equation 1
On buying 10 tins of paint, he will will have $32 left. This can we mathematically represented as,
10x = y - 32
On rearranging this equation can be written as,
-10x + y = 32 equation 2
On adding equation 1 and equation 2, we get
18x - y -10x + y = 80 + 32
8x = 112
x = (112/8) = 14
On substituting x = 14 in equation 2 , we get
-140 + y = 32
y = 172
So, amount of one tin of paint is $14 and the total amount Mr. Chong have is $172.
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what is the condition for the first dark fringe through a single slit of width w?
The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.
How we get the condition for the first dark fringe?Determine the condition for destructive interference at the first dark fringe.The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.
For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:
Δx = λ/2
where Δx is the path difference and λ is the wavelength of the light.
The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:
Δx = w sin(θ)
Therefore, the condition for the first dark fringe can be expressed as:
w sin(θ) = λ/2
The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.
This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.
This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.
The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.
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For the following frequency distribution of quiz scores, how many individuals took the quiz (N)?
X f
5 6
4 5
3 5
2 3
1 2
ANSWERS:
A. 5
B. 15
C. Cannot determine
D. 21
The number of individuals who took the quiz is D) 21.
To determine the total number of individuals who took the quiz (N), we need to sum up the frequencies (f) in the given frequency distribution. The frequency (f) represents the number of individuals who obtained each score.
Let's add up the frequencies:
6 + 5 + 5 + 3 + 2 = 21
The total frequency is 21, which means that 21 individuals took the quiz. Each score represents a certain number of individuals who obtained that score, and by adding up all the frequencies, we get the total number of individuals.
Therefore, the correct answer is D. 21.
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Identify the statement that correctly interprets the meaning of slope b = 0.007 with reference to the relationship between the two variables.
A slope of b = 0.007 indicates a weak positive relationship between the two variables, where a small increase in the independent variable corresponds to a small increase in the dependent variable.
The slope of a linear relationship represents the rate of change between two variables. In this case, a slope of b = 0.007 suggests a weak positive relationship between the variables. The positive sign indicates that as the independent variable increases, the dependent variable also tends to increase. However, the small value of 0.007 indicates that the increase in the dependent variable is relatively small for each unit increase in the independent variable.
To illustrate, let's consider an example where the independent variable represents time and the dependent variable represents the number of customers in a store. With a slope of 0.007, it means that for every unit increase in time (e.g., one hour), we can expect a small increase of 0.007 customers on average. This indicates a weak positive relationship, as the increase in customers is relatively modest for each unit increase in time.
In summary, a slope of b = 0.007 indicates a weak positive relationship between the two variables, where a small increase in the independent variable corresponds to a small increase in the dependent variable.
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(Expected rate of return and risk) B. J. Gautney Enterprises is evaluating a security. One-year Treasury bills are currently paying 4.8 percent. Calculate the investment's expected return and its standard deviation. Should Gautney invest in this security? Probability 0.20 Return - 4% 4% 7% 0.45 0.15 0.20 10% (Click on the icon in order to copy its contents into a spreadsheet.) ...) a. The investment's expected return is%. (Round to two decimal places.)
The investment's expected return is 5.95%.
Is the investment's expected return favorable for Gautney?The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.
To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.
In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.
Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.
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7. Sharmaine travels from Singapore to Thailand.
She exchanges $600 into Thai baht when the exchange rate is $1 = 24 baht.
While in Thailand, she spends 12 538 baht.
On her return, she exchanges the remaining baht into dollars when the exchange rate is $1= 24.5 baht.
How many dollars does she receive?
Answer:
she receives 76 Dollars
Karim wants to invest $100000 in two investments at 8% and 10%. How much should he invest in each if he wants to obtain an annual income from both investments of $9000?
Let's denote the amount invested at 8% as x and the amount invested at 10% as y.
According to the given information, Karim wants to invest a total of $100,000, and the combined annual income from both investments should be $9,000.
Set up the equations based on the information:
The first equation represents the total amount invested:
x + y = 100,000
The second equation represents the total annual income from the investments:
0.08x + 0.1y = 9,000
Solve the equations:
We can use the substitution or elimination method to solve the system of equations. Let's use the elimination method:
Multiply the first equation by 0.08 to match the coefficients of x:
0.08x + 0.08y = 8,000
Now subtract this equation from the second equation to eliminate x:
(0.08x + 0.1y) - (0.08x + 0.08y) = 9,000 - 8,000
0.02y = 1,000
Divide both sides of the equation by 0.02:
y = 1,000 / 0.02
y = 50,000
Substitute the value of y back into the first equation to solve for x:
x + 50,000 = 100,000
x = 100,000 - 50,000
x = 50,000
Calculate the amounts to invest:
Karim should invest $50,000 at 8% and $50,000 at 10% in order to obtain an annual income of $9,000 from both investments.
Karim should invest $50,000 at 8% and $50,000 at 10% in order to obtain an annual income of $9,000 from his investments.
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Katherine drove home from college traveling an average speed of 65.1 mph and drove back to the college the following week at an average speed of 70.7 mph. If the total round trip took 7 hours, how much time did it take Katherine to drive from home back to college? Express the time in hours and minutes. Round to the nearest minute.
The number of time it take Katherine to drive from home back to college is: 3 hrs 21 min.
How to find the time?Going home:
Rate = 65.1 mph , distance = x miles ; time = distance /rate = x/ 65.1 hrs
Going to college:
Rate = 70.7 mph ; distance = x miles ; time = x/70.7 hrs
Equation:
x/70.7+ x/ 65.1= 11
70.7x + 65.1x = 7 × 65.1 × 70.7
Combine like terms
135.8x = 32,217.99
Divide both side by 135.8x
x = 32,217.99/ 135.8
x = 237.25 miles
Home back to college
= 237.25 /70.7
=3.35 hrs
= 3 hrs 21 min
Therefore it take Katherine 3 hrs 21 min.
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the probability that a fair die falls on 6 is 1/6. however, if that fair die is one of two dice, and you know that the sum of the two dice is 12, then the probability that the fair die fell on 6 is ?
Answer:36
Step-by-step explanation:
1/6 is 6
so we need to find 6/6 which would be 6×6=36
Assume the given general functional form; what is Y in the following linear regression? Y=α0+α1×1+α2×2+ε error term/residual intercept dependent variable independent variable
Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.
What is a regression line?In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.
In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;
Y = α₀+α₁X+α₂X₂+ε
Where:
Y represent the dependent variable.x represent the independent variable.ε represent the error term or residualα₀ represent the intercept or initial value.In conclusion, Y represent the dependent variable or response variable in a linear regression.
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The length of a rectangle is increased by 25% , but the width of the rectangle is decreased by 25%. By what percent was the rectangle's area decreased
The rectangle's area decreased by 19%.
Length = L
Breadth = B
Original area = L x B
New area = A = L x (1 + 25%) x B x (1 - 25%)
A = L x B x 0.25 x 0.75 = L x B x 1.05
Therefore the area of the rectangle has decreased by 19%.
To find the location of a rectangle, multiply its width by means of its height. If we understand the sides of the rectangle which are different lengths, then we have each the height and the width.
The perimeter P of a rectangle is given through the system, P=2l+2w, wherein l is the period and w is the width of the rectangle. The area A of a rectangle is given by means of the method, A=lw, in which l is the duration and w is the width.
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if the first and last terms of an arithmetic series are 5 and 27, respectively, and the series has a sum 192, then the number of terms in the series is
If the first and last terms of an arithmetic series are 5 and 27, respectively, and the sum of the series is 192, then the number of terms in the series can be calculated as 12.
To find the number of terms in the arithmetic series, we can use the formula for the sum of an arithmetic series:
Sum = (n/2)(first term + last term)
We are given the first term (5), the last term (27), and the sum (192). Plugging these values into the formula, we have:
192 = (n/2)(5 + 27)
Simplifying the equation:
192 = (n/2)(32)
192 = 16n
Dividing both sides of the equation by 16:
n = 192/16
n = 12
Therefore, the number of terms in the arithmetic series is 12.
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Work out 4 1/7 +1 1/2
11.36
Answer:
41/7+11/2=82+77/14=159/14=11.36
The grocery store has 3 times as many cashiers in late afternoon than in the morning. If there are 14
cashiers at 10:00 am, how many would there be at 4:00 pm?
LESSON 18 SESSION 4
7 Tell whether each statement is True or False.
a. 80% of 90 is the same as of 90.
b. 45% of 60 is 27.
c. 20% of 90 is the same as
as
d. 25 is 35% of 80.
of 90.
of
True False
о
O
о
O
L
a. 80% of 90 is the same as of 90 - False
b. 45% of 60 is 27 - True
c. 20% of 90 is the same as as of 90- True
d. 25 is 35% of 80 -False
What are the statement about?a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.
b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.
c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.
Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.
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85°
152
Find the value of the missing angle
Answer:
67°........................
Answer:
x=67
Step-by-step explanation:
Translate this sentence into an equation. 71 decreased by Victor's height is 20. Use the variable v to represent Victor's height
The equation representing the given sentence is 71 - v = 20.
In this equation, the variable **v** represents Victor's height. The phrase "71 decreased by Victor's height" is translated as **71 - v**. The result of this subtraction should be equal to 20, as stated in the sentence. Therefore, we express the equation as **71 - v = 20**.
In this equation, if we subtract Victor's height (represented by **v**) from 71, it should yield 20, indicating that 71 decreased by Victor's height is indeed equal to 20.
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which contains enough different measurements to provide the most accurate physical description of an irregularly shaped parcel of land? select one: a. metes and bounds. b. rectangular survey. c. subdivision lot and block. d. government survey.
To provide the most accurate physical description of an irregularly shaped parcel of land, the option that would typically contain enough different measurements is a. metes and bounds.
Metes and bounds is a method of describing land by specifying the distances and directions of its boundary lines. It involves using a combination of compass bearings, distances, and landmarks to define the boundaries of a parcel of land. This approach is particularly useful for irregularly shaped or non-rectangular plots of land, as it allows for more precise and flexible descriptions.
Rectangular survey (also known as the Public Land Survey System or government survey) is primarily used for large-scale surveys and divides land into a grid-like pattern. Subdivision lot and block is a method used in urban areas to describe individual lots within a larger subdivision. While these methods offer their own advantages, they may not provide the same level of accuracy when describing irregularly shaped parcels of land compared to the metes and bounds system.
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