The domain restrictions on the function \(\left f(x\right)=-\frac{3x}{81\:-\:x^2}\:\cdot \frac{81\:-\:x^2}{2x^2-6x}\:\div \frac{x^2+2x-6x}{3x^2-30x+63}\) are the x values -9, 0, 3, 4 and 9
From the question, we have the following function that can be used in our computation:
\(\left f(x\right)=-\frac{3x}{81\:-\:x^2}\:\cdot \frac{81\:-\:x^2}{2x^2-6x}\:\div \frac{x^2+2x-6x}{3x^2-30x+63}\)
Next, we set the denominator to 0 and solve for x
So, we have
81 - x²: x = ±9
2x² - 6x: x = 0 and x = 3
x² + 2x - 6x: x = 0 and x = 4
Hence, the domain restrictions are the x values -9, 0, 3, 4 and 9
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What is the mean score Score
90
80
70
60
Answer:
75
Step-by-step explanation:
Four scores.... add them together and divide by four
(90 + 80 + 70 + 60) / 4 = 75
Besides 40 and 1, what is one factor of 40?
Answer:
Step-by-step explanation:
40 x 1 = 40
20 x 2 = 40
10 x 4 = 40
8 x 5 = 40
Question 6 of 14
A researcher creates two random samples, each with a sample size of
10. He
does not find a statistically significant difference between the two groups.
Which of the following statements is correct? Select all that apply.
Correct option is D. Since sample size is 10, the sample size is not adequate, the conclusion is likely to be untrue.
What is meant by sample size?The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.
The quantity of completed survey replies is known as the sample size. Because it merely reflects a portion of the target population (or set of people whose ideas or behavior you are interested in), it is known as a sample.
How is the sample size determined?The equation reads Sample Size = N / (1 + N*e2), where N is the population size.
Be aware that this is the least desirable and least precise formula.
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Complete Question -
A researcher creates two random samples, each with a sample size of . He does not find a statistically significant difference between the two groups. Which of the following statements is correct? Select all that apply.
A. Since the sample size is adequate, the conclusion is likely to be true.
B. Since random samples were used, the conclusion is likely to be true.
C. Sample size does not affect the outcome of statistical significance.
D. Since the sample size is not adequate, the conclusion is likely to be untrue.
Please help me i am so confused
The interval that will have the highest frequency will be: C. 11 - 15.
Which interval will have the highest frequency?The interval that will have the highest frequency will be 11 - 15. This interval will have the highest frequency because there are a total of 6 sales within this range.
The other intervals have sales that are 5 and below. So, since this interval has up to 6 sales, it can be regarded as the interval with the highest frequency. Frequency refers to how often something occurs. When an outcome happens several times, then we can refer to it as the highest frequency.
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which describes the correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass
Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.
To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:
Step 1: Draw the angle ABC with a straightedge.
Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.
Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.
Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.
Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.
In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.
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Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
The required coefficients are:4, -1, -11, and 7.
Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.
In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.
In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.
We need to consider the polynomial:
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:
4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2
Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn
Taking the coefficients of the constant terms6 + 2 - 1 = 7
Therefore, the required coefficients are:4, -1, -11, and 7.
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Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with
the same number of each fruit in each basket. What is the greatest number of fruit
baskets he can make? How many of each type of fruit will be in the baskets?
Answer:
3 baskets and 6 oranges, 9 pears, 4 bananas
Step-by-step explanation:
the common denominator is 3
Please help! I’ll venmo/ cash app $3 if you help or get right
Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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which of the following points is on the graph of the y=-4x^2-x+5?
A.(10,-400)
B.(-6,-133)
C.(5,-105)
D.(-9,-309)
Answer:
(10,-400)
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
If you use a table, B is the only point that falls on the graph.
Will give brainliest answer
Choose two expressions that equal 12−(−33) .
A
12+(−33)
B
12+33
C
−12+(−33)
D
33−(−12)
E
12−33
F
−33−(−12)
\(\textsf{Hey \: there!}\)
\(\bf{Choose \: TWO \: expressions \: that \: are \: EQUAL} \\ \bf{to \: 12 - ( - 33)} \\ \\ \\ \bullet \: \bf{12 - ( - 33) = 45}\)
\(\mathsf{It \: cant \: a \: because \: it \: gives \: you \: - 21}\)
\(\textsf{It \: can \: be \: b \: because \: it \: gives \: us \: 45}\)
\(\textsf{It \: cant \: be \: c \: because \: it \: gives \: you \: - 45}\)
\(\textsf{It \: can \: be \: d \: because \: it \: gives \: you \: 45}\)
\(\mathsf{It \: cant \: be \: e \: because \: it \: gives \: you \: -21}\)
\(\mathsf{It \: cant \: be \: f \: because \: it \: gives \: us \: - 21}\)
\(\boxed{\mathsf{To \: sum \: it \: all \: up \: your \: answers \: are: \: \boxed{ \bf {b.12 + 33 \: and \: \: d. \: \: 33 - ( - 12)}}}}\)
Good luck on your assignment and enjoy your day!~
\(\frak{LoveYourselfFirst:)}\)
I need help on this, please help explaining how to do this. Thank you <3
Answer:
\(y=-\frac{1}{4}+5x\)
Step-by-step explanation:
\(5x-y=\frac{1}{4}\\-y=\frac{1}{4}-5x\\y=-\frac{1}{4}+5x\)
Hey!! I'm here to explain!! Yes!!! :D
Okay, so let's start.
Your question is asking us to write 5x-y=1/4 in SLOPE INTERCEPT form.
Slope intercept form is a type of formula, which is y=mx+b
So, we need to go from 5x-y=1/4 to that.
5x-y=1/4
Let's first subtract 5x on both sides.
-y=-5x+1/4
Then we are going to divide -y by -1 to make it postive!
y=5x-1/4.
So our final answer is y=5x-1/4.
That equation is in slope-intercept form.
The -1/4 is the y-intercept.
The 5x is the slope, so 5 is the slope.
I hope I explained well! :)
Good luck, hope this helped.
Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS WILL GIVE BRAINLIST
Answer:
square root of 338 or 18.38
Step-by-step explanation:
since a² and b² are equal, you would do 13² plus 13² then add those and you end up with 338. then you find the square root of 338 which is 18.38477631, or 18.38
what is 3848 ÷ 4848485
We are asked for the division 3848 ÷ 4848485, we arrage this as follows to solve:
Since 4848485 does not fit into 3848, we add the decimal point at the top and
The cost of a ticket t will be no more than 26$
Answer: What's the question?
Step-by-step explanation:
help will mark brainiest
Answer:
I'm pretty sure the rides are 140 yards away from restrooms.
Step-by-step explanation:
Both triangles are similar, and since the first triangle both have 112 yards on the sides, you can only assume that the second triangle would be similar too, but instead being 112 yards, it would be 140 yards.
Hope this helped!
a random sample of adults was surveyed about their exercise habits. of the 100 surveyed, 56 stated they exercise regularly. which of the following is the 95% confidence interval for p, the proportion of all adults who exercise regularly? find the z-table here. (0.50, 0.62) (0.48, 0.64) (0.46, 0.66) (0.43, 0.69)
The 95% confidence interval for p, the proportion of all adults who exercise regularly is (0.46, 0.66).
What is a confidence interval?
An estimated range for an unknown parameter is known as a confidence interval. The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.
Here, we have
Given
Sample size(n) = 100
x = 56
Sample proportion (p) = x/n = 56/100 = 0.56
Here, c = 95%, a = 0.95
1-a = 0.05, a/2 = 0.025
Z(a/2) = 1.96
95% confidence interval for p is:
= p-Z(a/2)√{p(1-p)}/n, p+Z(a/2)√{p(1-p)}/n
= 0.56- 1.96√{0.56(1-0.56)}/100, 0.56+1.96√{0.56(1-0.56)}/100
= 0.56 - 0.0972, 0.56+0.0972
= 0.4628, 0.6572
= (0.46, 0.66)
Hence, the 95% confidence interval for p, the proportion of all adults who exercise regularly is (0.46, 0.66).
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Among the given options, 90 degrees (option A) is not a solution to the equation sin(2θ) = 1. The equation sin(2θ) = 1 represents the values of θ for which the sine of twice the angle is equal to 1. To determine which option is not a solution, we need to evaluate each choice.
A) 90 degrees: If we substitute θ = 90 degrees into the equation sin(2θ) = 1, we get sin(180 degrees) = 1. However, sin(180 degrees) is actually 0, not 1. Therefore, 90 degrees is not a solution to the equation sin(2θ) = 1.
B) 45 degrees: Substituting θ = 45 degrees gives sin(90 degrees) = 1, which is true. Therefore, 45 degrees is a solution to the equation sin(2θ) = 1.
C) 225 degrees: When we substitute θ = 225 degrees, we get sin(450 degrees) = 1. However, sin(450 degrees) is also 0, not 1. Thus, 225 degrees is not a solution to sin(2θ) = 1.
D) -135 degrees: Similarly, substituting θ = -135 degrees gives sin(-270 degrees) = 1. However, sin(-270 degrees) is 0, not 1. Hence, -135 degrees is not a solution to the equation sin(2θ) = 1.
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118° (10x+2)° solve for x and z
Answer:
Simplifying
10x + -2 = 118
Reorder the terms:
-2 + 10x = 118
Solving
-2 + 10x = 118
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 10x = 118 + 2
Combine like terms: -2 + 2 = 0
0 + 10x = 118 + 2
10x = 118 + 2
Combine like terms: 118 + 2 = 120
Combine like terms: 118 + 2 = 12010x = 120
Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.
Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.x = 12
Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.x = 12Simplifying
Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.x = 12Simplifyingx = 12
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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Brian May, guitarist for Queen, does not know how to price his signature Antique Cherry Special that cost him £340 to make. He knows he wants 80% markup on cost. What price should Brian May ask for the guitar?
9514 1404 393
Answer:
£612
Step-by-step explanation:
If Brian wants to add 80% of the cost to the cost, the selling price will be ...
£340(100% +80%) = £340·1.80 = £612
Brian May should ask £612 for the guitar.
the ratio of yes votes to no votes was 2 to 3. If there were 1386 yes votes, what was the total number of votes?
Answer:
3465
Step-by-step explanation:
Yes:No
2:3
1386:x
1386 /2 = 693
693 x3 = 2079
1386:2079
1386+2079 = 3465
Find the perimeter of the trapezoid
The perimeter of the trapezoid in this problem is given as follows:
A. 23.2.
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The bases of the trapezoid in this problem are given as follows:
AB = 1 - (-5) = 6.CD = 3 - (-7) = 10.The lateral segments are given as follows:
\(AD = \sqrt{2^2 + 3^2} = 3.6\)\(BC = \sqrt{2^2 + 3^2} = 3.6\)Hence the perimeter is given as follows:
P = 6 + 10 + 2 x 3.6
P = 23.2 units.
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Find the area of this figure (sides meet at right angles)
Answer:
60 cm²
Step-by-step explanation:
Just divide the figure in parts and then find their areas separately. At last, find the area of the whole figure by adding the areas of the parts
What is the perimeter of the trapezoid?
10m
8m
10m
18m
Answer:
46 m
Step-by-step explanation:
The perimeter of any figure is the sum of the lengths of its sides.
8m +10m +10m +18m = 46 m
The perimeter of the figure is 46 meters.
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Circle a has area 500 in the diameter of circle b is three times the diameter of circle a estimate the area of circle b
Answer: D=2r
Step-by-step explanation:
sorry if im wrong!
Answer:
D=2r i hope i aint wrong
Step-by-step explanation:
please help me pls I did it already but I want to get the answer plss plss someone