Answers
Answer:it is c
Step-by-step explanation:
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Related Questions
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answers
The three (3) statements which are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² ....equation 1.
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.From the information provided above, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
Comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x – 0)² + (y - 0)² = 3²
x² + y² = 9.
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How do you solve maximum problems?
Answers
A minimax problem minimizes the maximum value of a number of decision variables and the maximin problem maximizes the minimum value
We know that a minimax problem minimizes the maximum value of a number of decision variables. It is sometimes applied to minimize the possible loss for a worst case (maximum loss) scenario. On the other hand a maximin problem maximizes the minimum value. Generally it is used to maximize the minimum objective (such as profit or revenue) for all potential scenario.
To solve the optimization problem for maximum :
First we find the derivative of the function.
Set the derivative equal to 0 and solve for x. This gives the x-values of the maximum and minimum points.
Now substitute those values of x back into the function to find the corresponding values of y. This will give the maximum and minimum points of the function.
Therefore, the maximin problem maximizes the minimum value of a number of decision variables.
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Broccoli costs $1.50 per pound at a store. How much money does 32 onces of broccoli cost
Answers
Answer:
$3.00
Step-by-step explanation:
1 pound = 16 ounces
2 pounds = 32 ounces
1.5 x 2 = 3
What is the value of 0 in the following image
Answers
We will determine the value of theta as follows:
\(\begin{gathered} cos(\theta)=\frac{10}{21}\Rightarrow\theta=cos^{-1}(\frac{10}{21}) \\ \\ \Rightarrow\theta\approx61.6 \end{gathered}\)So, the measurement of the angle is approximately 61.6°.
suppose that a 99onfidence interval for the difference p1 minus p2 between the proportions of men and women in california who are alcoholics is (0.02, 0.09). choose the best correct interpretation.
Answers
The 99% confidence interval for the difference in proportions of men and women who are alcoholics in California is estimated to be between 0.02 and 0.09.
A confidence interval provides a range of values within which the true population parameter is likely to lie. In this case, the confidence interval (0.02, 0.09) suggests that the true difference in proportions of men and women who are alcoholics in California falls between 0.02 and 0.09.
The lower bound of 0.02 indicates that, with 99% confidence, the proportion of men who are alcoholics is at least 0.02 higher than the proportion of women who are alcoholics. The upper bound of 0.09 indicates that, with 99% confidence, the proportion of men who are alcoholics is at most 0.09 higher than the proportion of women who are alcoholics.
In other words, based on the data and the chosen confidence level, we can say with 99% confidence that the difference in proportions of men and women who are alcoholics in California is between 0.02 and 0.09. This implies that there is evidence to suggest that the proportion of men who are alcoholics is higher than the proportion of women who are alcoholics, but the exact difference is uncertain and lies within the provided range.
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None of the multiple choice add up to 102 degrees any help?
Answers
Answer:
26
Step-by-step explanation:
Let x = the third angle in the triangle
x = 102 because they are vertical angles
The sum of the angles in the triangle are 180
b+2b+102 =180
3b+102 =180
3b = 180-102
3b = 78
Divide by 3
3b/3 = 78/3
b = 26
Answer:
Its is 26 aka E
Step-by-step explanation:
So we know that a triangle has 180 degrees in total. So we know one side is 102 degrees. 180-102=78. we can do 78 divide by 3 since there is 3b's in total. 78/3=26. Therefore, it is 26 which is E. I hope this helped ^^.
2. What is the standard form of y = 2/5x - 6
Answers
Answer:
3rd option
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y = \(\frac{2}{5}\) x - 6 ( multiply through by 5 to clear the fraction )
5y = 2x - 30 ( subtract 5y from both sides )
0 = 2x - 5y - 30 ( add 30 to both sides )
30 = 2x - 5y , or
2x - 5y = 30 ← in standard form
Answer:
I hope this helps.
Step-by-step explanation:
50 peanuts for $3.00 or 75 peanuts for $3.50. Which is the better deal?
Answers
Answer: Simple 75 peanuts for $3.50
Step-by-step explanation:
What is the value of x? Enter your answer in the box. x =
Answers
Check the picture below.
HELP ME PICTURE BELOW 50 POINTS
Answers
Answer:
Step-by-step explanation: Hope this helps
of the households owning at least one internet enabled device in 2017, 15.8% owned both a video game console and a smart tv how many households owned both of these
Answers
15,800 households owned both a video game console and a smart TV in 2017.
In 2017, of the households that owned at least one internet-enabled device, 15.8% owned both a video game console and a smart TV.
To calculate the number of households that owned both of these devices, you would need the total number of households owning at least one internet-enabled device.
Let's say there were 100,000 households in total.
To find the number of households that owned both a video game console and a smart TV, you would multiply the total number of households (100,000) by the percentage (15.8%).
Number of households owning both devices = Total number of households * Percentage
Number of households owning both devices = 100,000 * 0.158
Number of households owning both devices = 15,800
Therefore, approximately 15,800 households owned both a video game console and a smart TV in 2017.
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Choose the equation that represents the fraction 1/12
Answers
Answer:
1/24 + 1/24 = 1/12
Step-by-step explanation:
1/24 + 1/24 = 1/12 I think it’s this.
I don’t have any options though so I just thought of that.
$500(1+0.045)^2 -$500(1+0.04)^3
Answers
Answer:-16.4195 US$
Step-by-step explanation:
The shorter leg of a right triangle is 7 cm shorter than the longer leg. The hypotenuse is 7 cm longer than the longer leg. Find the side lengths of the triangle.Length of the shorter leg: ____cmLength of the longer leg: _____cmLength of the hypotenuse: _____cm
Answers
So,
Based in the information, we could draw:
Let "x" be the length of the longer leg.
We could find the dimentions of the triangle using the Pythagorean theorem:
\(\begin{gathered} (x+7)^2=x^2+(x-7)^2 \\ x^2+14x+49=x^2+x^2-14x+49 \\ x^2+14x+49=2x^2-14x+49 \\ \to x^2-28x=0 \end{gathered}\)As you can see, we could solve this quadratic equation factoring:
\(\begin{gathered} x^2-28x=0 \\ x(x-28)=0 \\ x=0\text{ or }x=28 \end{gathered}\)Note that the solution x=0 has not any sense in the context of the problem.
Therefore, the appropiate value of x is 28.
Now, we have found that the length of the longer leg is 28cm.
The shorter leg of the right triangle is 7 cm shorter than the longer leg, so its value is 21cm.
The hypotenuse is 7 cm longer than the longer leg, so, the value of the measure of the hypotenuse is 35cm.
Question:
Edit the functions in code according to the instructions below to obtain the sample output shown in the code comments (you must use recursion in all the functions):
a. one: A function that accepts a positive integer argument and returns the sum of all the integers from 1 up to the number passed as an argument.
b. two: A function that accepts two positive integers: the number to be raised (num), and the exponent (pow). The function should return numpow e.g., if num = 2 and pow = 3, two(2,3) = 23 = 8.
c. three: A function that accepts a positive integer and prints out all the numbers from the number passed up to 1.
code:
def one(n):
pass # Delete statement and fill out missing code
def two(num, pow):
pass # Delete statement and fill out missing code
def three(n):
pass # Delete statement and fill out missing code
def main():
print(one(1)) # 1
print(one(2)) # 3
print(one(3)) # 6
print(one(4)) # 10
print()
print(two(2, 1)) # 2
print(two(2, 2)) # 4
print(two(2, 3)) # 8
print(two(3, 4)) # 81
print()
three(5) # 5 4 3 2 1
print()
three(10) # 10 9 8 7 6 5 4 3 2 1
if __name__ == '__main__':
main()
Answers
The functions 'one', 'two', and 'three' and removed the 'pass' statements using required recursion.
Here's the modified code with the required changes:
python
def one(n):
if n == 1:
return 1
else:
return n + one(n - 1)
def two(num, pow):
if pow == 1:
return num
else:
return num * two(num, pow - 1)
def three(n):
if n == 1:
print(1)
else:
print(n)
three(n - 1)
def main():
print(one(1)) # 1
print(one(2)) # 3
print(one(3)) # 6
print(one(4)) # 10
print()
print(two(2, 1)) # 2
print(two(2, 2)) # 4
print(two(2, 3)) # 8
print(two(3, 4)) # 81
print()
three(5) # 5 4 3 2 1
print()
three(10) # 10 9 8 7 6 5 4 3 2 1
if __name__ == '__main__':
main()
In the code above, I've implemented the required recursion for functions 'one', 'two', and 'three' and removed the 'pass' statements. This should now produce the expected output when executed.
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Aslam and akram invested rs 27000 and rs 30000 to start a business . if they earned a profit of rs 66500 at the end of the year , find the profit of each one
Answers
The profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.
To find the profit of each person, we can use the concept of ratios.
First, let's find the total investment made by both Aslam and Akram:
Total investment = Aslam's investment + Akram's investment
Total investment = 27000 + 30000 = 57000
Next, let's calculate the ratio of Aslam's investment to the total investment:
Aslam's ratio = Aslam's investment / Total investment
Aslam's ratio = 27000 / 57000 = 0.4737
Similarly, let's calculate the ratio of Akram's investment to the total investment:
Akram's ratio = Akram's investment / Total investment
Akram's ratio = 30000 / 57000 = 0.5263
Now, we can find the profit of each person using their respective ratios:
Profit of Aslam = Aslam's ratio * Total profit
Profit of Aslam = 0.4737 * 66500 = 31474.5
Profit of Akram = Akram's ratio * Total profit
Profit of Akram = 0.5263 * 66500 = 35025.5
Therefore, the profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.
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Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution. (-8,0) and (1,5)
Answers
The standard form of the equation is 9y = 5x + 40
What is standard form of Equation of line?The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane
The given points are (-8, 0) and (1,5)
We find the slope first,
Slope(m) = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
Where \(y_{1}\) = 0, \(x_{1}\) = -8 and \(y_{2}\) = 5 and \(x_{2}\) = 1
slope(m) = \(\frac{5 - 0}{1 - - 8}\)
slope = 5/9
But equation o line is y = mx + c
To find c, take values of x = -8 and y = 0
so that the equation y = mx + c becomes
0 = 5/9(-8) + c
c = 40/9
substitute for the values of m and c into y = mx + c
y = 5/9x + 40/9
Multiply through by 9, we have
9y = 5x + 40
writing it in standard form, 9y -5x - 40 = 0
In conclusion, the equation of the line in standard form is 9y -5x - 40 = 0
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what is the total area in square cm?
Answers
Answer:
If the rectangle has a length of 10 cm and a width of 5 cm, the equation is: 10 cm x 5 cm = 50 cm2
What is the point-slope form of a line with slope 2 that contains the point
(1,3)?
O A. y+ 3 = -2(x-2)
B. Y-3 = 2(x-1)
O C. y+ 3 = 2(x+1)
O D. y-1 = 2(x-3)
SUBMIT
Answers
Answer:
y -3 = 2( x-1)
Step-by-step explanation:
Point slope form of a line is
y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y -3 = 2( x-1)
14. Find the area under the normal curve to the right of z = 1.84.
A. 0.9671
B. 0.0329
C. 0.2005
D. 0.7995
Answers
Answer:
B is the correct answer from my understanding
Step-by-step explanation:
every year a laptop is worth 1/3 of what it was worth for each year previous. if you have a $600 laptop, how much is it worth after 15 years?
Answers
The laptop will be worth $0.001286 after 15 years if its worth becomes 1/3 each year.
We can solve this problem by using the formula for geometric sequences,
an = a₁r^(n-1), here in this case, an is the worth of the laptop after n years, r is the rate at which the worth is changing that 1/3 in this case and a₁ is the value of the laptop currently. Substituting the given values, we get:
a₁₅ = 600(1/3)¹⁵⁻¹
a₁₅ = 600(1/3)¹⁴
a₁₅ = 600x0.0000021433
a₁₅ = 0.001286
Therefore, after 15 years, the laptop is worth approximately $0.001286.
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This problem is about the modified Newton's method for a multiple root of an algebraic equation f(x) = 0. A function fis given as follows: f(x) = e^x-x-1 It is easy to see that x* = 0 is a root of f(x) = 0. (a). Find the multiplicity of the root x* = 0
Answers
The function \(f(x) = e^x - x - 1\) has a root at x = 0. By evaluating the derivative and second derivative at x = 0, we find that it is not a multiple root, and its multiplicity is 1. This means the function crosses the x-axis at x = 0 without touching or crossing it multiple times in a small neighborhood around the root.
To find the multiplicity of a root in the context of an algebraic equation, we need to understand Newton's method for a multiple root. Newton's method is an iterative numerical method used to find the root of an equation. When a root occurs multiple times, it is called a multiple root, and its multiplicity determines the behavior of the function near that root.
To find the multiplicity of a root x* = 0 for the equation \(f(x) = e^x - x - 1\), we need to look at the behavior of the function near x* = 0.
First, let's find the derivative of the function f(x) with respect to x:f'(x) = (\(e^{x}\)) - 1Next, let's evaluate the derivative at x* = 0:
f'(0) = (\(e^{0}\)) - 1 = 1 - 1 = 0
When the derivative of a function at a root is equal to zero, it indicates a possible multiple root. To confirm if it is a multiple root, we need to check higher derivatives as well.
Let's find the second derivative of f(x):f''(x) = (\(e^{x}\))Now, let's evaluate the second derivative at x* = 0:
f''(0) = (\(e^{0}\)) = 1
Since the second derivative is not equal to zero, x* = 0 is not a multiple root of \(f(x) = e^x - x - 1\).
In conclusion, the multiplicity of the root x* = 0 for the equation \(f(x) = e^x - x - 1\) is 1.
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Whats this answer i need help please .
Answers
The perimeter of a rectangle is 160 meters. The length is 20 meters greater than the width. Find the dimensions of the rectangle.
Answers
Find the antiderivative: f(t) = 3t⁴ - t³ + 6t²/t⁴
Answers
One spring, a group of students measured rainfall totals at their school. This
chart shows how many inches of rain the students measured each month.
How many more inches did it rain in May than in April?
MONTH
March 5.7
April6.3
May13.8
Answers
Subtract the values for May and April
13.8 - 6.3 = 7.5
Eli works with a property developer building houses close to the coastline in Italy. His boss thinks that demand for the houses will be based primarily on their size. Eli wants to show his boss that proximity to the ocean is also a big factor to consider.
So, he looks at several houses of the same size in the area. He records the distance of each house from the ocean (in kilometers), x. He also notes the number of people who offered to buy each house, y, when it was last put up for sale.
The least squares regression line of this data set is:
y=
–
0.231x+17.278
Answers
Answer:
This suggests that as the distance of a house from the ocean increases by 1 km, the number of people willing to buy it decreases by 0.231.
What is regression line?
A regression line is a line of best fit that is used to describe the relationship between two variables. It is a type of linear regression which is used to determine the strength of a linear relationship between two or more variables. The regression line is a mathematical equation which is used to predict values for one variable based on the values of the other variables. In simple terms, it is a line that best fits a set of data points.A regression line can be used to make predictions about the future values of one of the variables based on the values of the other variables. For example, a regression line can be used to predict the future sales of a product based on its current price. It can also be used to identify trends in the data.Regression lines are most often used in statistics and economics to analyze data and make predictions. It is also used in machine learning to develop models that can be used to predict outcomes.To learn more about regression line refer to:
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Use the box plot to complete the sentences.
The median of the data is
The lower quartile is
The upper quartile is
The minimum value is
The maximum value is
Answers
The size of the box, as well as the length of the whiskers, indicates the spread of the dataset. Overall, box plots are an excellent tool to present statistical data and identify potential outliers.
The median of the data is represented by a vertical line inside the box. It is the midpoint of the dataset, i.e., 50% of the data lies below and 50% lies above it.
The lower quartile is shown on the left side of the box plot. It indicates the 25th percentile of the data, i.e., the point at which the bottom 25% of the data lies.
The upper quartile is shown on the right side of the box plot. It indicates the 75th percentile of the data, i.e., the point at which the top 25% of the data lies.
The minimum value is the smallest value in the dataset, shown as the bottom end of the whisker.
The maximum value is the largest value in the dataset, shown as the upper end of the whisker.
Q. Use the box plot to complete the sentences.
The median of the data is
The lower quartile is
The upper quartile is
The minimum value is
The maximum value is
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Factor the trinomial and show your work.
x^2 - 10x + 9
Answers
Answer:
\((x - 9)(x - 1)\)
Step-by-step explanation:
We can factor the trinomial using the rule:
IF \(x^2 + cx + d = (x + a)(x + b)\),
THEN \(a + b = c\) and \(a \cdot b = d\).
We know that -9 and -1 add to -10. They also multiply to 9.
Therefore, we can factor \(x^2 - 10x + 9\) as:
\(\boxed{(x - 9)(x - 1)}\)
The factors of the given trinomial are (x-9)(x-1).
What is trinomial?Trinomial is a polynomial having 3 terms. At least one variable and one operation (addition, subtraction, multiplication, division) must be present in an algebraic expression.
Given that, a trinomial x² - 10x + 9, we need to find the factors,
So,
x² - 10x + 9
= x² - 9x - x + 9
= x(x-9) -1(x-9)
= (x-9)(x-1)
Hence, the factors of the given trinomial are (x-9)(x-1).
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A quilter wants to make the design shown at left using the Golden Ratio. Specifically, he wants the ratio of the triangle heights
Answers
The quilter wants to make a design using the Golden Ratio, specifically focusing on the ratio of triangle heights. To find the height ratio, we can use the properties of the Golden Ratio.
The Golden Ratio is a mathematical concept where two quantities are in proportion if their ratio is equal to the ratio of their sum to the larger of the two quantities. Mathematically, it can be represented as (a + b) / a = a / b, where a is the larger quantity and b is the smaller quantity.
In this case, the quilter wants to find the ratio of triangle heights. Let's assume the height of the larger triangle is a and the height of the smaller triangle is b. According to the Golden Ratio, we have (a + b) / a = a / b.
To solve for the height ratio, we can cross-multiply and simplify the equation. We get a^2 + ab = a^2, which simplifies to ab = a^2 - a^2, or ab = 0.
Since ab = 0, we can conclude that the height ratio of the triangles is 0. This means that the height of the smaller triangle is 0, while the height of the larger triangle can be any positive value.
In summary, when using the Golden Ratio to determine the ratio of triangle heights, the ratio is 0.
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