The radius of a circle measures 3 ft. What is the circumference of the circle?
Use 3.14 for 11, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
18.85
Step-by-step explanation:
adwadad
TRUE/FALSE. analysis is defined as describing the data in the sample with the use of percentages or averages.
Comparison analysis is defined as describing the data in the sample with the use of percentages or averages. Hence, option A is the most suitable answer to this question.
Comparative analysis talks about the comparison of two or more data sets, or other objects. Comparing data becomes very easy when the data is consolidated with the help of average or mean, percentages, and rounding up of the decimals.
Comparison is a very important method to check the difference in the parameters of the two data sets. Not just comparing, summarization of this data is vital for understanding what that data actually means. Hence, we can say that comparison analysis is defined as describing the data in the sample with the use of percentages or averages.
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The complete question is -
Fill in the blanks -
________ analysis is defined as describing the data in the sample with the use of percentages or averages.
A) Comparison
B) Generalization
C) Relationship
D) Summarization
E) Confidence
Hi! Can someone please explain?I will give brainliest :)
Answer:
$8.20
Step-by-step explanation:
2.35+2.35=4.7
4.7+1.5=6.2
6.2+2=8.2
Which Venn diagram shows the correct relationship among different set of numbers and correct numbers placement of -648
Answer:
A
Explanation:
The whole numbers are the numbers that we use to count like 1, 2, 3, ...
Then, integer numbers are the set that contains the whole numbers and the negative numbers, so the integer number are like ... -3, -2, -1, 0, 1, 2, 3, ...
Therefore, -648 is an integer number.
Finally, the rational numbers are numbers that can be written as a/b, where a and b are integers.
So, the answer is A because rational numbers contain integer numbers, integer numbers contain whole numbers and -648 is a integer number.
Sphenathi and other matriculants plan to pass Bloemfontein at 07.25 to travel the above stated distance to Uptington. Determine (to the nearest km/h) the average speed at which they must travel to be in Uptington by 09:45.
Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.
To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.
The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:
2 hours + 20 minutes / 60 = 2.33 hours
Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.
We can use the formula for average speed: average speed = distance / time
In this case, the average speed should be such that the distance divided by the time is equal to the average speed.
d / 2.33 = average speed
Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:
250 / 2.33 = average speed
To find the average speed to the nearest km/h, we'll calculate the result:
average speed ≈ 107.3 km/h
Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.
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Santiago is solving the system of equations.
After answering the given query, we can state that As a result, the system of equations has a solution of x = 13.17 and y = 1.46.
What is equation?An equation is a mathematical assertion that establishes the equivalence of two expressions that are joined together by the equals symbol ('='). For example, 2x - 5 equals 13. Expressions like 2x-5 and 13 are examples. The letter '=' connects the two phrases. A mathematical formula is called an equation if it contains two algebraic formulas on either side of the equal symbol (=). It shows how the right and left algorithms are equivalent to one another. Any calculation will result in L.H.S. = R.H.S. (left side = right side).
Elimination is one approach that is frequently used to answer a system of equations. One method to fix this setup is as follows:
The result is obtained by multiplying the first equation by 5 and the second equation by 4:
25x - 20y = 300
16x + 20y = 240
To remove y, combine the two formulae as follows: 41x = 540
By splitting both parts by 41, find the value of x: x = 13.17 (rounded to two decimal places)
Either problem can be solved by substituting x = 13.17 to obtain y: 5(13.17) - 4y = 60.
65.85 - 4y = 60
-4y = -5.85
y = 1.46 (rounded to two decimal places)
As a result, the system of equations has a solution of x = 13.17 and y = 1.46.
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Evaluate the given integral by changing to polar coordinates. yex dA, where R is the region in the first quadrant enclosed by the circle x2 y2 = 64
After evaluating the given integral by changing to polar coordinates we get \(7 e^8-31\)
As per the details shared in the above question it is given that,
\($x^2+y^2=64$\)
\((x, y)=r(\cos \theta, \sin \theta)\)
\(d A=r d r d \theta.\)
Further solving above we get,
\(r^2=64 \\\Rightarrow & r=8 . \\0 \leq r \leq 8 ; & 0 \leq \theta \leq \pi / 2\)
The polar coordinate,
\(\iint_{R} y e^x d A=\int_0^{\frac{\pi}{2}} \int_0^8 r^2 \sin \theta e^{r \cos \theta} d r d \theta\)
\(& =\int_0^8 \int_0^{\frac{\pi}{2}} r^2 \sin \theta e^{r \cos \theta} d \theta ; \\& =\int_0^8\left[-r e^{r \cos \theta}\right]_0^{\pi / 2} d r\)
\(=\int_0^8 r\left[-e^{r \cos \left(\frac{\pi}{2}\right)}+e^\alpha\right] d r .\)
\(=\int_0^8 r e^r d r-\left.\frac{r^2}{2}\right|_0 ^8\)
Now substituting the value we get,
\(7 e^8-31\)
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Note the correct question should be ,
Evaluate the given integral by changing to polar coordinates.
\(\iint_R y e^x d A\) , where R is the region in the first quadrant enclosed by the circle \(x^2+y^2=64\).
The surface area of the United States is 3.797 million square miles. The state of Alaska, our largest state in terms of area, occupies 655,400 square miles. Using ratios, determine what percentage of the surface area of the United States is occupied by Alaska, rounded to the nearest whole number.
Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%
We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%
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mr tan is 42 years old and mrs tan is 44 years old now. they have 3 children who are 7 years, 5 years and 2 years old now. in how many year time will the sum of mr and mrs tan's age be 4 times of the sum of their 3 children's age
Answer:
3 years
Step-by-step explanation:
let the number of years required be x
hence
42+x+44+x = 4(7+x+5+x+2+x)
86+2x = 4(14+3x)
86+2x = 56+12x
2x-12x = 56-86
-10x = -30
x = 3
Determine the amplitude of function
The amplitudes of functions are a) 8 and b) 6.
Given are the functions we need to determine the amplitude of function,
a) y = 8 Sin (x/2) + 3
b) y = 6 Cos x + 2
So,
To determine the amplitude of a trigonometric function, you can follow these steps:
For a sine function of the form y = A×sin(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
For a cosine function of the form y = A×cos(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
Let's apply these steps to the given functions:
a) y = 8×sin(x/2) + 3
The coefficient of sin in this function is 8, so the amplitude is |8| = 8.
Therefore, the amplitude of function a) is 8.
b) y = 6×cos(x) + 2
The coefficient of cos in this function is 6, so the amplitude is |6| = 6.
Therefore, the amplitude of function b) is 6.
Hence the amplitudes of functions are a) 8 and b) 6.
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M/ u^2+r =-k-y PLEASE HELP!!!!!
Answer:
(b) as marked
Step-by-step explanation:
Subtract r, multiply by u^2/(-k-y-r), and take the square root.
\(\dfrac{m}{u^2}+r=-k-y\qquad\text{given}\\\\\dfrac{m}{u^2}=-k-y-r\qquad\text{subtract $r$}\\\\\dfrac{m}{-k-y-r}=u^2\qquad\text{multiply by $\dfrac{u^2}{-k-y-r}$}\\\\u=\pm\sqrt{\dfrac{m}{-k-y-r}}\qquad\text{take the square root}\)
I will give the BRAINIEST!!
It is 12pm and Maria and Nemzet are about to try and complete a jigsaw puzzle together before they have to get ready for a party that starts at Spes. If attempting this puzzle alone, it would take Maria 7
hours to complete it and it would take Nemzet 5 hours
Use the information above to choose all sentences which are true. Select all that apply
It will take them approximately 2.9 hours to finish the puzzle together. Therefore, options B, C are the correct answers.
Given that, Maria and Nemzet are about to try and complete a jigsaw puzzle.
Together attempting this puzzle alone, it would take Maria 7 hours to complete it and it would take Nemzet 5 hours
Here, 1/7 + 1/5 = 1/t
(5+7)/35 = 1/t
12/35 = 1/t
t=35/12
t=2.91
t=2.9 hours
Therefore, options B, C are the correct answers.
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
please help i will give brainlest
13.9
about 14 squares units
Answer #4 for brainliest and 20 points!!
QUICKK ANSWERR (will mark brainlist)
Complete the real-world problem that can be represented by 3x + 12 > 27.
Jessie sold x DVDs for $__ each and then sold a board game for $__. Jessie made
(select) $__ in her sales. How many DVDs did she sell?
Answer:
Jessie sold x DVDs for $3 each and then sold a board game for $12. Jessie made (select) $27 in her sales. How many DVDs did she sell?
She sold 5 DVDs
Step-by-step explanation:
3x+12=27
3x=15
x=5
5 DVDS
if abc~ dec , what is the length of de? Please help
Answer:
B) 12
Step-by-step explanation:
Given:
ΔABC ~ ΔDEC
AB ~ DE
AC ~ DC
BC ~ EC
We will just use ratios and substitute DE as x:
\(\frac{AB}{AC} =\frac{DE}{DC} \\\\\frac{16}{20} =\frac{x}{15} \\\\20x=240\\\\x=\frac{240}{20} \\\\x=12\)
DE = 12
The measure of the side DE of the triangle DEC will be 12. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees. If two triangles are similar, then the ratio of the corresponding sides will remain constant.
The triangles ABC and DEC are similar triangles. Then the ratio of the corresponding sides will be the same.
DE/AB = CD/AC
From the diagram, AB = 16, AC = 20, and CD = 15. Then the measure of the side DE will be given as,
DE/16 = 15/20
DE/16 = 0.75
DE = 16 x 0.75
DE = 12
The measure of the side DE of the triangle DEC will be 12. Then the correct option is B.
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Convert the following Celsius degrees to Fahrenheit.
a. 35° C
b. 500° C
c. 10° C
d. 55° C
What are the quotient and remainder of (3x4 - 2x + 7x-4)= (x - 3)?
a. 3x2 + 772 +21x + 70; 206
c. 3x4 + 7%? +21x2 + 70; 206
b. 3x + 77? + 21x + 70; -206
d. 37° +73+ + 21x + 703 76
The quotient of dividing (3x⁴ - 2x³ + 7x² - 4) by (x - 3) is 3x³ + 7x² + 28x + 84 and the remainder is 248
How to determine the quotient and the remainder?The division expression is given as:
(3x⁴ - 2x³ + 7x² - 4) / (x - 3)
Set the divisor to 0
x - 3 = 0
Solve for x
x = 3
Substitute x = 3 in 3x⁴ - 2x³ + 7x² - 4
3x⁴ - 2x³ + 7x² - 4 = 3(3)⁴ - 2(3)³ + 7(3)² - 4
Evaluate
3x⁴ - 2x³ + 7x² - 4 = 248
This means that the remainder is 248
Recall that:
Dividend = Divisor * Quotient + Remainder
So, we have:
3x⁴ - 2x³ + 7x² - 4 = x - 3 * Q + 248
Subtract 248 from both sides
3x⁴ - 2x³ + 7x² - 252 = x - 3 * Q
Divide both sides by x - 3
Q = (3x⁴ - 2x³ + 7x² - 252)/(x - 3)
Factorize the numerator
Q = (x - 3)(3x³ + 7x² + 28x + 84)/(x - 3)
Cancel out the common factors
Q = 3x³ + 7x² + 28x + 84
Hence, the quotient is 3x³ + 7x² + 28x + 84 and the remainder is 248
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Which choice shows (5 + 9) + 10 correctly rewritten using the associative property
and then correctly simplified?
O 10 + (5 + 9) = 10 + 14 = 24
O 5+ (9 + 10) = 5 + 19 = 24
O 10 + (9+5) = 10 + 14 = 24
O 5+ (91+0) = 5 +91 = 96
Question ID: 116111
Submit
Copyright 2023 The MOC
The correct option for the expression (5 + 9) + 10 showing the associative property is 5+ (9 + 10) = 5 + 19 = 24
What is the associative property?The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.
Given that, an expression, (5 + 9) + 10
According to associative property of addition, (a+b)+c = a+(b+c)
Therefore,
(5 + 9) + 10 = 5+(9+10)
= 5+19
= 24
Hence, the correct option for the expression (5 + 9) + 10 showing the associative property is 5+ (9 + 10) = 5 + 19 = 24
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WILL GIVE BRAINLiST, RATE IT 5 STARS, AND HEART IT FOR CREATIVE WRITING HELP. PLEASE ANSWER BOTH QUESTIONS, IF ITS ONE QUESTION I CAN DO THAT TOO!
1. What are 5 observations you made about the setting of “Avatar” after watching the trailer? (Play the first avatar movie trailer)
2. Based on the trailer, what is one central theme of the movie? How does the setting contribute to this theme? (Play the first avatar movie trailer)
when answering, answer it like 1= and 2=
Answer: Read explanation
Step-by-step explanation: Observations of setting: Humanoid beings. Earth-like world. A human base to collect information. Forest like setting. Bird-like transportation creatures.
Theme ideas: Man a part of research group enters an avatar of beings to collect information on this world. Research group makes an invasion on these creatures home land.
Make any corrections if you want! Make it more comfortable to your style!
write your equation for y=4 x=2
how do you find the remaining side of a 45°-45°-90° triangle if the longest side is 28?
NO LINKS!! Please help me with the Domain and Range part 4ii
Answer:
9) D: (-4, 4]; R: [-6, -4]
10) D: [-5, -5]; R: (-7, ∞)
Step-by-step explanation:
You want the domain and range of the relations shown on the given graphs.
DomainThe domain of a relation is the set of x-values for which it is defined. An open circle indicates that point is not included in either the domain or range.
RangeThe range of a relation is the set of y-values that the relation produces. An open circle indicates the y-value at that point is not in the range.
9)The graph has an open circle at x = -4 on the left, and a solid dot at x = 4 on the right. All of the x-values between these have corresponding y-values.
The domain is (-4, 4].
The bottom (minimum) of the curve lies on the line y = -6, so that is the lowest value in the range. The relation produces all y-values between -6 and -4. The solid dot at (4, -4) means -4 is included in the range.
The range is [-6, -4].
10)The vertical line at x=-5 means -5 is the only value in the domain.
The domain is [-5, -5].
The vertical line extends upward from an open circle at y = -7. The open circle means -7 is not part of the range.
The range is (-7, ∞).
Answer:
9) Domain: (-4, 4]
Range: [-6, -4]
10) Domain: [-5]
Range: (-7, ∞)
Step-by-step explanation:
Definitions
An open circle indicates the value is not included in the interval.
A closed circle indicates the value is included in the interval.
An arrow shows that the function continues indefinitely in that direction.
Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.
[ or ] : Use square brackets to indicate that the endpoint is included.
Domain & Range
The domain is the set of all possible input values (x-values).
The range is the set of all possible output values (y-values).
Question 9From inspection of the graph, the minimum x-value is x = -4 and the maximum x-value is x = 4.
There is an open circle at endpoint (-4, -4). Therefore, x = -4 is not included in the domain.
There is an closed circle at endpoint (4, -4). Therefore, x = 4 is included in the domain.
Therefore, the domain of the relation is restricted: (-4, 4]
From inspection of the graph, the minimum y-value is y = -6 and the maximum y-value is y = -4.
This maximum value is included in the range since there is a closed circle at (4, -4).
Therefore, the range of the relation is restricted: [-6, -4]
Question 10From inspection of the graph, the line is a vertical line at x = -5.
Therefore, the domain of the relation is restricted to x = -5: [-5]
From inspection of the graph, the minimum y-value is x = -7.
This minimum value is not included in the range since there is an open circle at (-5, -7).
There is an arrow on the other endpoint of the line, indicating that the line continues indefinitely in that direction.
Therefore, the range of the relation is restricted: (-7, ∞)
Either Table A or Table B shows a proportional relationship
Table A
x
Plot the points from the table that shows a proportional relationship
4
5
3
1 2
Undo
→ Redo
x Reset
Point + Move
6
у
10
8
10
Table B
9
1
2
4
6
у
3
4
6
8
7
6
Answer:
table A
Step-by-step explanation:
1,2 3,6 4,8 5,10
I did the test
The table A shows a proportional relationship between x and y, for every value of x, y doubles.
Proportional relationshipA proportional relationship exist between two entities if an increase in one causes an increase in another or vice versa.
Table Ax y
1 2
3 6
4 8
5 10
Table Bx y
1 3
2 4
4 6
6 8
Thus, the table A shows a proportional relationship between x and y, for every value of x, y doubles.
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A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000. Which of the following is the most reasonable domain and range for the function?
The correct answer is C
Step-by-step explanation:
I found this because the pond already has 3000 fish so y can not be less than 3000. Thus eliminating choice A since it says y>-3000.
That reasoning also eliminates answer D because real numbers can also include negatives.
Finally, since y has to be greater than 3000, answer B is not possible as it says y>0 which means it could be less than 3000.
In conclusion, Answer C is correct
A call center claims that the mean wait time for a customer to connect with a customer care executive is at most 2 minutes. A random sample of 20 calls at the call center yielded a test statistic of 1.75. Assuming that the wait time is normally distributed, what is the corresponding p-value? Round your answer to three decimal places.
Answer:
To find the p-value, we need to first find the corresponding area in the normal distribution table for the test statistic of 1.75.
Since the sample size (n) is greater than 30 and the population standard deviation is unknown, we use the t-distribution to calculate the p-value.
The degrees of freedom (df) for the t-distribution is n - 1 = 20 - 1 = 19.
Using a t-table or calculator, we can find that the area to the right of 1.75 (with df=19) is approximately 0.049.
Since this is a one-tailed test (the alternative hypothesis is that the mean wait time is greater than 2 minutes), the p-value is equal to the area to the right of the test statistic, which is 0.049.
Therefore, the corresponding p-value is 0.049 (rounded to three decimal places).
Step-by-step explanation:
gg
solve the initial value problem and determine the interval in which the solution is valid hint: to find the interval of definition, lookfor points where the integral curve has a vertical tangent
The solution to the equation for the initial value problem is y(x) =\((1 + (2x^3/3 - x^2 + x))/((x^3 - 3x^2 + 6x - 6)^(1/3))\). It is valid for all x ≥ 0.
First, solve for y': \(1 + 3x^2*y^2 - 6y = 0.\)
Next, divide both sides by \(3x^2: y^2 - 2y/x + 1/x^2 = 0.\)
Use the quadratic formula to solve for y: y = \((2/x +- sqrt [4/x^2 - 4/x^3])/2.\)
Now, plug in y(0) = 1 to obtain the equation \((2/x + sqrt [4/x^2 - 4/x^3])/2 = 1.\)
Solving this equation, x = 0 and x = 3.
Next, integrate both sides of the original equation to get y(x) = \((1 + (2x^3/3 - x^2 + x))/((x^3 - 3x^2 + 6x - 6)^(1/3)).\)
Finally, the solution to the initial value problem is valid for all x ≥ 0.
The complete question: solve the initial value problem
y'=(1+3x2)/(3y2−6y),y(0)=1
and determine the interval in which the solution is valid. Hint: To find the interval of definition, look for points where the integral curve has a vertical tangent.
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What is the nth term rule of the linear sequence below?
-5, -2, 1, 4, 7, ...
Tn
-
The nth term rule of linear sequence is aₙ = aₙ₋₁ + 3
Linear sequence is a sequence of number in order with same difference .or same ratio.
when fixed number is added to any term of a sequence to get next term . That Fixed number is known as common difference.
The sequence in the given question
-5 , -2 , 1 , 4 , 7, . . . .
The first term of sequence : a₁ = -5
The second term : a₂ = -2
Common difference : d = a₂ - a₁
=> d = -2 - (-5)
=> d = -2 + 5
=> d = 3
The nth rule of linear sequence is aₙ = aₙ₋₁ + d
replacing the value of d
aₙ = aₙ₋₁ + 3 is nth rule of the linear sequence.
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OLZ HELP 15 points WILL MARK BRAINLIEST IF CORRECT
Which expressions are equivalent to 9+h+(j+k)? Check all that apply.
9+(1+y)+k
(g+h) +jk
(g+n) +j+k
9+(hj)+k
gh+jk
(h+])
9+h(j+k)
Answer:
\(9+h+(j+k) = 9+(h+j)+k\)
\(9+h+(j+k) = (9+h)+j+k\)
Step-by-step explanation:
Given
\(9+h+(j+k)\)
Required
Determine equivalent expressions
To do this, we simply make use of associative property.
So, we have:
\(9+h+(j+k) = 9+(h+j)+k\)
or
\(9+h+(j+k) = (9+h)+j+k\)