9.(05.03 LC)
Which of the following statements best describes the graph of x + y = 3?
O It is a line joining the points whose x- and y-coordinates add up to 3.
It is a line joining the points whose x- and y-coordinates add up to 6.
O It is a line which intersects the x-axis at (3, 3).
O It is a line which intersects the y-axis at (3, 3).
Answer:
it's intersects the x axis at (3,3)
Answer:
Second choice is correct. The coordinates of the points add up to 3
Step-by-step explanation:
only the first choice is correct. The line intersects the x-axis at (3, 0), not (3, 3)
The line intersects the y-axis at (0, 3), not (3, 3) x and y add up to 3, not 6
find the missing number 29\50=__\100
Answer:
58/100
Step-by-step explanation:
50 times 2 is 100, so we multiply the other number by 2 because what you do to the bottom you do to the top.
29 times 100 is 58
your answer is 58/100
A regular octagon has an area of 576 square centimeters and an apothem of 16 cm.
What is the length of each side of the octagon?
Enter your answer in the box.
The length of each side of the octagon with area of 576 square centimeters and an apothem of 16 centimeters is 9 centimeters .
Area of an Octagon:Compared to lower sided shapes, an octagon's area is a little more complicated. A normal octagon's area is equal to 4 as. Where "s" stands for the octagonal side and "a" for the apothem, which runs straight from the pentagon's center to one of its sides.
The formula for the area of a regular octagon is:
A = 4 × apothem × side
Using this formula and the given values, we can solve for the length of each side of the octagon:
576 = 4 × 16 × side
Dividing both sides by 4 × 16, we get:
side = 576 ÷ (4 × 16)
Simplifying the right-hand side, we get:
side = 576 ÷ 64 = 9 cm.
Therefore, the length of each side of the octagon is 9 cm .
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Answer:
Step-by-step explanation:
Let R be the region in the first quadrant bounded below by the parabola y = x² and above by the line y = 2. Then the value of [yx dd is: None of these This option This option 6 3
None of the provided options matches the calculated value. To find the value of the expression [yxd2], we need to evaluate the double integral over the region R.
The expression [yxd2]suggests integration with respect to both x and y.
The region R is bounded below by the parabola y = x² and above by the line y = 2. We need to find the points of intersection between these curves to determine the limits of integration.
Setting y = x² and y = 2 equal to each other, we have:
x² = 2
Solving this equation, we find two solutions: x = ±√2. However, we are only interested in the region in the first quadrant, so we take x = √2 as the upper limit.
Thus, the limits of integration for x are from 0 to √2, and the limits of integration for y are from x² to 2.
Now, let's set up the double integral:
[yxd2]=∫∫RyxdA
Since the integrand is yx, we reverse the order of integration:
[yxd2]=∫₀²∫ₓ²²yxdydx
Integrating with respect to y first, we have:
[yxd2]=∫₀²[∫ₓ²²yxdy]dx
The inner integral becomes:
∫ₓ²²yxdy=[1/2y²x]ₓ²²=(1/2)(22x²−x⁶)
Substituting this back into the outer integral, we have:
[yxd2]=∫₀²(1/2)(22x²−x⁶)dx
Evaluating this integral:
[yxd2]=(1/2)[22/3x³−1/7x⁷]ₓ₀²
= (1/2) [22/3(2³) - 1/7(2⁷) - 0]
= (1/2) [352/3 - 128/7]
= (1/2) [(11776 - 2432)/21]
= (1/2) [9344/21]
= 4672/21
Therefore, the value of [yx d^2] is 4672/21.
None of the provided options matches the calculated value.
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If P is true, Q is false, R is true, and S is false, determine the truth value of the following.
~[P v (Q v R)] >~ (SVP)
O a. True
O b. False
The truth value of the ~[P v (Q v R)] >~ (S v P) is true.
Truth-value, in logic, is the degree to which a particular proposition or assertion is true (T or 1) or false (F or 0). Because the truth-value of a compound proposition is a function of, or a quantity depending upon, the truth-values of its component components, logical connectives like disjunction and negation can be conceived of as truth-functions.
Given, ~[P v (Q v R)] >~ (S v P) since P v (Q v R) is true, thus ~ [ P v ( Q v R ) ] is false, therefore the implication is true.
⇒~[T v (F v T)] >~ (F v T)
⇒[F v (F v T)]>(T v T)
⇒[F v (F v T)]>(T v T)
⇒F v T
⇒T
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Negative air pressure created by an air pump makes a vacuum cleaner able to collect air and dirt into a bag or other container. Below are several readings from a pressure gauge. Write rational numbers to represent each of the readings, and then order the rational numbers from least to greatest.
Gauge Readings ( pounds per square inch )
25 psi pressure
13 psi vacuum
6.3 psi vacuum
7.8 psi vacuum
1.9 psi vacuum
2 psi pressure
7.8 psi pressure
Pressure readings ( pounds per inch) answers:
The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.
To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.
Given readings:
25 psi pressure
13 psi vacuum
6.3 psi vacuum
7.8 psi vacuum
1.9 psi vacuum
2 psi pressure
7.8 psi pressure
Expressed as rational numbers with a common denominator:
25 psi = 25/1
13 psi = 13/1
6.3 psi = 63/10
7.8 psi = 78/10
1.9 psi = 19/10
2 psi = 2/1
7.8 psi = 78/10
Now, let's order these rational numbers from least to greatest:
1.9 psi = 19/10
6.3 psi = 63/10
7.8 psi = 78/10
7.8 psi = 78/10
13 psi = 13/1
25 psi = 25/1
2 psi = 2/1
Ordered from least to greatest:
19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1
Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.
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How do I solve for this? will give brainly points
y = -1 is the equation of a horizontal line that passes through every point with -1 as its y-coordinate. In other words, every point on the line takes the form (x, -1).
A line perpendicular to this one would be vertical, so that the x-coordinate is now fixed. If this line passes through (8, -4), then for every possible y-coordinate, the x-coordinate is fixed to be 8. So every point on the line takes the form (8, y), and the equation for this line is x = 8.
Find g(x), where g(x) is the translation 1 unit left of f(x)= –7x+10
The translation 1 unit left of f ( x ) =–7x+10 then g(x) is -7x + 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in its range(involving values of y) or in its domain(involving values of x).
The up and down movements are in the vertical direction by the y coordinate.
The left and right movements are in the horizontal direction by the x coordinate.
When translating a graph, adding units moves the graph to the left, and eliminating units moves the graph to the right.
hence we say that;
f(x) = –7x+10
g(x) = f(x + 1)
= –7(x + 1)+10
= -7x - 7 + 10
= -7x + 3
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The length of a rectangle is 4 times its width. The perimeter of the rectangle is 150 cm. Find the dimensions of the rectangle.
it should contain step by step and understandable explanation.
Answer:
...............................
How much salsa is missing from the jar? Round to the nearest whole cubic centimeter. 5 cm 10 cm 4 cm The amount of missing salsa is (blank) cubic centimeters.
Answer:
about 471 cubic centimeters of salsa are missing from the jar
Step-by-step explanation:
Calculate the length of side WX:
Answer:
WX = 38
Step-by-step explanation:
To get this, we are gong to use the cosine rule
We have the general form as;
a^2 = b^2 + c^2 - 2bc Cos A
Let WX be a
a^2 = 17^2 + 26^2 -2(17)(26) cos 123
a^2 = 1446.46
a = √1446.46
a = 38.03
why is b the answer ???????????????????/
Answer:
Step-by-step explanation:
its b cuz when u replace any value of x from B to the equation, the value of y satisfies the values of y in B. For instance
y = 4 * -3 + 2
= -10
the value of y is -10 which satisfies the value of y in B but when u use a value of another table suppose A it would be,
y = 4 * 7 + 2
= 30
but the value y corresponding to the value of x we used is not 30
HOPE IT HELPED
Marneshia walked of a mile in of an hour. What equation can be used to calculate her unit rate in miles per hour?
time divided by distance. She was going 1 miles an hour
The distance between two lines measured along a perpendicular line to the line is always the same.
Answer:
the same
Step-by-step explanation:
perprendicular lines never touch
What are the roots of the polynomial equation x superscript 4 baseline x cubed = 4 x squared 4 x? use a graphing calculator and a system of equations.
Therefore, the roots of the polynomial equation \(x^4 - x^3 = 4x^2 + 4x\) are infinite, and it is not possible to find them precisely using a graphing calculator or a system of equations.
To find the roots of the polynomial equation \(x^4 - x^3 = 4x^2 + 4x\), we can utilize a graphing calculator and a system of equations. Here's how you can proceed: Rewrite the equation to bring all terms to one side:
\(x^4 - x^3 - 4x^2 - 4x = 0\)
Enter the equation into a graphing calculator or any equation-solving software. Look for the x-intercepts or roots of the equation on the graphing calculator. These are the values of x where the graph intersects the x-axis. Alternatively, we can solve the equation using a system of equations. Let's set up the system:
Consider the original equation:\(x^4 - x^3 = 4x^2 + 4x.\)
Rearrange the equation to bring all terms to one side:
\(x^4 - x^3 - 4x^2 - 4x = 0\)
Introduce a new variable, y, to create a system of equations:
\(x^4 - x^3 - 4x^2 - 4x = 0 (Equation 1)\)
\(y = x^4 - x^3 - 4x^2 - 4x (Equation 2)\)
Now, we can solve this system of equations by eliminating y. Subtract Equation 2 from Equation 1:
0 = 0
The result is always true, indicating that there is an infinite number of solutions. This suggests that the equation has infinitely many roots.
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27 km
36 km
What is the length of the hypotenuse?
Answer:
The length of hypotenuse is 45 kilometers
Step-by-step explanation:
Assuming that given lengths are of perpendicular and hypotenuse, and the triangle is a right angled triangle
Perpendicular = P = 27 km
Base = B = 36 km
Hypotenuse = H = ?
We can use Pythagoras theorem for finding the length of hypotenuse
The Pythagoras theorem is given by:
\(H^2 = B^2+P^2\)
Putting the values, we get
\(H^2 = (36)^2 + (27)^2\\H^2 = 1296 + 729\\H^2 =2025\)
Taking square root on both sides
\(\sqrt{H^2} =\sqrt{2025}\\H =45\)
Hence,
The length of hypotenuse is 45 kilometers
Draw a scatter plot of each set of data. Decide whether a linear model is reasonable. If so, describe the correlation. Then draw a trend line and write its equation. Predict the value of y when x is 15 .
(6,15.5),(7,14.0),(8,13.0),(9,12.5),(10,12.0) , (11,11.5),(12,10.0)
The scatter plot of the data is illustrated below and when x is 15, the predicted value of y is approximately 8.68.
To find the equation of the trend line, we need to determine the slope and y-intercept. The slope (m) represents the rate at which the dependent variable changes with respect to the independent variable, while the y-intercept (b) indicates the starting point of the line.
Using the formula for calculating the slope (m) of a line, which is given by:
m = (change in y) / (change in x),
we can compute the slope using two points on the trend line: (6,15.5) and (12,10.0). Substituting the values into the formula, we have:
m = (10.0 - 15.5) / (12 - 6) = -5.5 / 6 ≈ -0.92.
Next, we can find the y-intercept (b) by using the equation of a straight line:
y = mx + b,
and substituting one of the points (6,15.5) into the equation. Solving for b, we get:
15.5 = -0.92 * 6 + b,
15.5 = -5.52 + b,
b ≈ 21.02.
Therefore, the equation of the trend line is:
y = -0.92x + 21.02.
To predict the value of y when x is 15, we can substitute x = 15 into the equation:
y = -0.92 * 15 + 21.02,
y ≈ 8.68.
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determine if the equation is a linear equation -x + 3y^2=18
Answer:
No
Step-by-step explanation:
Linear equations must have no squares, roots, cubes, or any powers. If the graph has an asymptote or any restrictions, it is not a linear function.
A linear function will only appear in either point-slope form or slope-intercept form. These forms will not have square roots or powers in them.
-x + 3y² = 18
We know here that this is not a linear function. But we can try to write it in slope-intercept form:
3y² = x + 18
y² = x/3 + 6
y = √(x/3 + 6)
We can see from here that our graph is a square root function and has a restricted domain (no negative numbers).
Alternatively, we can graph the equation to see if it is a constant line (linear equation) or not. When we do so, we see that it is definitely not a linear function:
The subtraction of 8 from a number is 2. What is the number?
Answer:6
Step-by-step explanation:
8-6 = 2
Answer:
10
Step-by-step explanation:
Let the number be equal to y
y-8=2y=8+2y=10Line A (y=4x+2) is transformed into Line B (y=x+5). Which best describes the new slope and y-intercept?
Answer:
The new slope is 1 and the line is shifted flatter.
Step-by-step explanation:
Line A slope is 4.
Line B slope is 1.
The y-intercept rose up 3
As far as slope, it became flatter because the line only rises 1 'square' for every 1 'square' it travels to the right. It was rising 4 'squares' for every 1 to the right.
Jaden made 6 L of corn soup for hid birthday a bowl can hold 200 ML of soup how many bowls can he fill
Answer:
30
Step-by-step explanation:
1L=1000
6L=?
6×1000= 6000ML
a soup can hold 200ML
6000/200
= 30
Step-by-step explanation:
Jaden has made a total of 6000 ML (6 L x 1000 ML/L = 6000 ML) of corn soup.
To find out how many bowls he can fill, we need to divide the total amount of soup by the amount of soup that can fit in one bowl.
6000 ML ÷ 200 ML/bowl = 30 bowls
Therefore, Jaden can fill 30 bowls with his 6 L of corn soup.
Please help me with this homework
Answer
the last one(4 and 1 over 2)
Step-by-step explanation:
i hope this is right tell me if its wrong
3x-4x^2 +6+7x^3 in standard form
Step-by-step explanation:
7x^3 -4x^2 + 3x + 6
I hope it's helpful
Find a linear equation of the line with a slope 3 passing through the point
(-9,7).
7. Ifa = 3an * db = - 2 . find the values of: (a + b)ab
The Values of (a+b)ab are undefined.
Given that, a = 3an and db = -2We need to find the values of (a+b)
Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1
From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),
we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0
Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined
Therefore, the values of (a+b)ab are undefined.
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A company had returns of 5%, 10%, -15%, 20%, -12%, 22%, 8% in
the last few years. Compute the arithmetic average return,
geometric average return, variance, and standard deviation of
returns.
Refer to
Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.
Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.
Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.
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regarding the sampling in question 1, how many measurements must be averaged to get a margin of error of ±.001 with 98onfidence?
Rounding up to the nearest whole number, we need a sample size of 15682 measurements to obtain a margin of error of ±0.001 with 98% confidence
To determine the number of measurements needed to obtain a margin of error of ±0.001 with 98% confidence, we need to use the following formula:
n = [(z-value)² * σ²] / E²
Where:
n = sample size
z-value = the critical value for the desired confidence level, which is 2.33 for 98% confidence
σ = the standard deviation of the population, which is unknown
E = the maximum error or margin of error, which is 0.001
Since the standard deviation of the population is unknown, we can estimate it using the standard deviation of the sample. Assuming that the sample standard deviation is similar to the population standard deviation, we can use the sample standard deviation of 0.03 in this case.
Substituting the given values, we have:
n = [(2.33)² * (0.03)²] / (0.001)²
n = 15681.93
Rounding up to the nearest whole number, we need a sample size of 15682 measurements to obtain a margin of error of ±0.001 with 98% confidence.
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A random sample of internet subscribers from the west coast of the United States was asked if they were satisfied with their internet speeds. A separate random sample of adults from the east coast was asked the same question. Here are the results: Satisfied? East West Total Yes 24 34 58 No 45 81 126 Neither 11 5 16 Total 80 120 200 A market researcher wants to perform a χ2 test of homogeneity on these results. What is the expected count for the cell corresponding to east coast subscribers who responded "yes"? You may round your answer to the nearest hundredth.
The expected count for the cell corresponding to east coast subscribers who responded "yes" is 39.60.
To calculate the expected count for a specific cell in a χ2 test of homogeneity, we use the formula:
Expected Count = (row total * column total) / grand total
In this case, the row total for the "yes" responses for east coast subscribers is 80, the column total for the east coast is 200, and the grand total is 200.
So, the expected count for the cell corresponding to east coast subscribers who responded "yes" is:
Expected Count = (80 * 200) / 200 = 40
Rounding the answer to the nearest hundredth, we get 39.60.
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5x4x3(7-7)x334 what is the answer
Answer:
The Answer is 0
Step-by-step explanation:
5x4x3(7-7)x334
5x4x3x0x334
Anything multiplied by 0 will equal 0
Answer:
I got 0
Step-by-step explanation:
5*4*3*(7-7)*334
5*4*3*0*334
20*3*0*334
60*0*334
0*334
=0
I need this asap graph −1/2x+1/8y=3/4.
Graph the line using the slope and y-intercept, or two points.
Slope:
4
y-intercept:
(0, 6)