Answer:
Sin(angle) = Opposite / hypotenuse
Sin(x) = 5/14
X = arcsin(5/14)
x = 20.9
X = 21 degrees.
the answer is da da b!
Step-by-step explanation:
explain why a valid categorical syllogism cannot conclude with a particular statement if it has two universal premises.
Therefore, if a syllogism has two universal premises, it cannot conclude with a particular statement. This is because a particular statement would not be strong enough to logically follow from two universal premises.
In a categorical syllogism, the premises and conclusion are statements that are made about the relationships between classes or categories. These statements can be classified into four types: universal affirmative (All A are B), universal negative (No A are B), particular affirmative (Some A are B), and particular negative (Some A are not B).
In a valid categorical syllogism, the conclusion must logically follow from the premises. One of the rules of inference for categorical syllogisms is that the conclusion must have the same quantity (universal or particular) as the premises.
If both premises of a syllogism are universal (e.g., All A are B, All B are C), then the conclusion must also be universal. It cannot be particular because a particular statement (e.g., Some A are B) is a weaker statement than a universal statement (e.g., All A are B).
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1. Write a recursive formula for the following sequence:
45, 41, 37, 33
Answer:
AP=a+(n-1) is what i came up with
The number of copies of a book sold the year it was released was 600,000. Each year after that, the number of copies sold decreased by 1/2.
I am very unsure what your question is, but the simple tip is to divide it by two each year as it is decreasing by a half..
To find the number of copies sold in subsequent years, you can use the formula:
N = N0 * (1/2)^t
where N is the number of copies sold in a given year, N0 is the initial number of copies sold (in this case, 600,000), t is the number of years since the book was released.
For example, to find the number of copies sold in the second year after the book was released:
N = 600,000 * (1/2)^1
N = 300,000
So, 300,000 copies were sold in the second year. To find the number of copies sold in subsequent years, you can continue to plug in values of t and solve for N.
On friday night, the owner of chez pierre in downtown chicago noted the amount spent for dinner for 28 four-person tables. 110 118 124 185 129 128 122 139 120 95 119 99 191 130 84 110 149 123 76 175 143 83 110 76 165 67 102 151. click here for the excel data file.
(a) Find the mean, median, and mode. (Round your answers to 2 decimal places.) NOTE - (It also asks for the count)
(b) Are the data symmetric or skewed? If skewed, which direction?
multiple choice
a. Symmetric
b. Skewed right
c. Skewed left
- Mean: 119.43- Median: 118.50- Mode: 110 - Count: 28
To find the mean, we add up all the values and divide by the number of observations. In this case, the sum of the values is 3342, and since there are 28 observations, the mean is 3342/28 = 119.43.
The median is the middle value when the data is arranged in ascending order. In this case, there are 28 observations, so the median is the average of the 14th and 15th values. When the data is ordered, the 14th value is 118 and the 15th value is 124. Therefore, the median is (118 + 124)/2 = 118.50.
The mode is the value that appears most frequently in the dataset. In this case, the value 110 appears three times, which is more than any other value. Hence, the mode is 110.
The count simply refers to the number of observations in the dataset, which is 28 in this case.
(b) The data is skewed right.
When data is symmetric, it means that the values are evenly distributed around the mean, resulting in a bell-shaped curve. In this case, the data is not symmetric. Looking at the dataset, we can observe that there are several smaller values on the left side, while the right side has a few larger values. This indicates a right skew or positive skewness.
Skewness refers to the asymmetry of a distribution. In a right-skewed distribution, the tail of the distribution extends towards the right, indicating a longer right tail. Therefore, the correct answer is b. Skewed right, indicating that the data is positively skewed.
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Someone plz help me giving brainliest (show your work)
Answer:
85 questions
Step-by-step explanation:
Math test: .9 x 50 = 45 correct
History test: .8 x 50 = 40 correct
45 + 40 = 85 questions
Hope that helps!
impressionist painter claude monet worked quickly and spontaneously filling each canvas with this type of brushstroke.
Claude Monet used short, loose brushstrokes, also known as "broken color," to quickly and spontaneously capture the essence of his subject matter and convey the effects of light and atmosphere in his paintings.
Monet's use of short, loose brushstrokes was a hallmark of the Impressionist movement, which sought to capture the fleeting qualities of light and atmosphere in their paintings. By using broken color, Monet was able to create a sense of vibrancy and movement in his work, as well as convey the ever-changing nature of his surroundings.
Rather than blending colors together on the palette, he applied them to the canvas in separate strokes, allowing the viewer's eye to blend them optically. This technique not only created a sense of spontaneity and immediacy in Monet's paintings, but also paved the way for later movements such as Fauvism and Expressionism.
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The temperature at 2 AM was -3°F is the temperature decreased 12°F and then increase 7°F what integer represents the new temperature?
The integer represents the new temperature is (-8) F.
what are integers?An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
Given:
At 2 a.m. temperature = -3F
Then temperature decreased 12°F = -12 F
and then increase 7°F = +7F
Now, the temperature is
= (-3) - 12 + 7
= -3 -5
=-8 F
Hence, the temperature is (-8) F
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what are the two solutions to x^2-18x+8=0
7.54 and 0.46 are the solutions to the given quadratic equations
Solving quadratic equations using formulaGiven the quadratic equation below:
x^2-18x+8=0
We need to determine the solutions to the given quadratic expression. Using the general formula below:
x = -b±√b²-4ac/2a
From the equation
a = 1
b = -18
c = 8
Substitute
x = 18±√18²-4(1)(8)/2(1)
x= 18±√324-32/2
x =18± 17.08/2
x = 35.08/2 and 0.92/2
x = 17.54 and 0.46
Hence the two solutions to the given quadratic equation are 17.54 and 0.46
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Find the third side in simplest radical
form:
3
5
Answer:
4?
Step-by-step explanation:
Ramon wants to make an acute triangle with three pieces of wood. so far, he has cut wood lengths of 7 inches and 3 inches. he still needs to cut the longest side. what length must the longest side be in order for the triangle to be acute? exactly startroot 58 endroot inches greater than startroot 58 endroot inches but less than 10 inches less than startroot 58 endroot inches but greater than 7 inches not enough information given
Option C: Less than \(\sqrt58\\\) inches but greater than 7 inches
Ramon wants to make an acute triangle with three pieces of wood. So far,
he has cut wood lengths of 7 inches and 3 inches.
What length must the longest side be in order for the triangle to be acute?
According to the property of triangle,
If the square of larger side of triangle is equating to the sum of square of smaller side.
If \(a^{2} < b^{2}+c^{2}\) the triangle is acute triangle.
where, 'a' is the larger side and 'b' ,'c' are the smaller side
According to the question, Let a =a , b = 7, c = 3
\(a^{2} < 7^{2}+3^{2}\\ a^{2} < 49+9\\ a < \sqrt58\)
Means to be acute triangle third side must be less than \(\sqrt58\) inches but greater than 7 inches.
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Answer:
less than 58 inches but greater than 7
Step-by-step explanation:
i got it right on edge
Can someone help me please find the perimeter
Answer:
8x + 9
Step-by-step explanation:
Perimeter is the sum of all sides:
2x + x+8 + 5x+1 = 8x + 9
For the given confidence level and values of x and n, find the following. x=47, n=95, confidence level 80% .
find the standard error. round the answers to at least four decimal places, if necessary. the standard error for the given data is
To find the standard error for the given data, we need to use the formula:
standard error = sqrt[p(1-p)/n],
where p is the proportion of successes in the sample, which is equal to x/n.
In this case, x = 47 and n = 95. Therefore, p = x/n = 47/95 = 0.4947 (rounded to four decimal places).
We also know that the confidence level is 80%, which means that the corresponding critical value for a two-tailed z-test is 1.28 (we can look this up in a table or use a calculator).
Now we can plug in the values into the formula:
standard error = sqrt[p(1-p)/n] = sqrt[(0.4947)(1-0.4947)/95] = 0.0564 (rounded to four decimal places).
Therefore, the standard error for the given data is 0.0564.
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Which transformation of Figure A results in Figure A′?
A reflection across the y-axis.
What is transformation rule?A translation transformation rule describes how to move an object in the plane without changing its shape, size, or orientation. A reflection transformation rule describes how to flip an object across a line or plane. A scaling transformation rule describes how to change the size of an object by multiplying its coordinates by a scalar factor. A rotation transformation rule describes how to rotate an object around a fixed point by a certain angle.
From the graph, we can see,
The coordinates of the figure A are (-2, 0), (-2, 3) and (-5, 2)
The coordinates of the figure A' are (2, 0), (2, 3) and (5, 2)
The reflection across the y-axis, according to the rule is: \((x, y)\) → \((-x, y)\)
We can see, the y-coordinates stay the same values, while the x-coordinates will have the opposite values.
Therefore, the reflection across the y-axis.
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Drag the tiles to thDrag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the slopes and the y-intercepts to the lines of best fit on the scatter plots.
The rate of change is ,
and the initial value is .
The rate of change is ,
and the initial value is .
The rate of change is ,
and the initial value is .
The rate of change is ,
and the initial value is .
The rate of change is ,
and the initial value is .
Graph shows line and 7 points plotted on a coordinate plane. Line goes through (0, 3) and (5, 6). Points are approximately at (1, 3.8), (2, 4), (3, 4.5), (4, 5.5), (5, 6.1), (6, 6.1), and (7, 7).
arrowRight
Graph shows downward right slant line and 7 closed points plotted on a coordinate plane. The line from (0, 5) till (8, 0.2). Points are approximately at (1, 4.8), (2, 4), (3, 2.9), (4, 2.8), (5, 1.9), (6, 1.2), and (7, 1).
arrowRight
Graph shows line and 4 points plotted on a coordinate plane. Line goes through (0, 5) and (3, 10). Points are approximately at (1, 6.5), (1.9, 8.5), (3.1, 9.8), and (4, 12).
arrowRight
Graph shows line and 5 points plotted on a coordinate plane. Line goes through (0, 5) and (3, 0). Points are approximately at (0.8, 4), (1, 3.1), (1.6, 2.6), (1.9, 1.4), and (2.8, 0.8).
arrowRight
e correct boxes to complete the pairs. Not all tiles will be used.
Match each equation with its y-intercept.
The rate of change (slopes) and initial value (y-intercepts) are as follows:
The initial value is 20, and the rate of change is -5.The initial value is 20, and the rate of change is 4.The initial value is 15, and the rate of change is -3. The initial value is 15, and the rate of change is 5.What is a scatter plot?A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
What is a line of best fit?A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):
The initial value is 20, and the rate of change is -5.The initial value is 20, and the rate of change is 4.The initial value is 15, and the rate of change is -3. The initial value is 15, and the rate of change is 5.Read more on scatterplot here: brainly.com/question/6592115
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Please help me with this problem!!
Check the picture below.
please help me understand this
i need help with these following questions . i need help to
refresh.
Find the a) divergence and b) curl of the vector field F(x, y, z) = sin(x) i + xy?j + yz?k 6. Evaluate S (x2 + y2)ds along the path C: x2 + y2 = 1, one revolution counterclockwise, starting at (1,0).
Answer:
a) The divergence of a vector field measures the tendency of the vectors to either converge or diverge at a given point.
For the vector field F(x, y, z) = sin(x)i + xyj + yzk, the divergence can be calculated as follows:
∇ · F = (∂/∂x)(sin(x)) + (∂/∂y)(xy) + (∂/∂z)(yz) = cos(x) + x + y.
b) The curl of a vector field measures the tendency of the vectors to circulate or form a rotational motion.
For the vector field F(x, y, z) = sin(x)i + xyj + yzk, the curl can be calculated as follows:
∇ × F = (∂/∂y)(yz) - (∂/∂z)(xy) i + (∂/∂z)(sin(x)) - (∂/∂x)(yz) j + (∂/∂x)(xy) - (∂/∂y)(sin(x)) k = y - y = 0i + (-xy)j + (x - sin(x))k.
To evaluate S (x^2 + y^2)ds along the path C: x^2 + y^2 = 1, one revolution counterclockwise, starting at (1,0), we can use line integral.
Since the path is a circle of radius 1 centered at the origin, we can parameterize it as x = cos(t) and y = sin(t), where t ranges from 0 to 2π.
Substituting these values into the expression for the line integral, we have
S (x^2 + y^2)ds = ∫[0,2π] (cos^2(t) + sin^2(t)) dt = ∫[0,2π] (1) dt = 2π.
Therefore, the value of S (x^2 + y^2)ds along the given path is 2π.
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BP has a bond outstanding with 15 years to maturity, a $1,000 par value, a coupon rate of 6.9%, with coupons paid semiannually, and a price of 98.17 (percent of par) 18 | Attempt 1/10 for 10 pts. Part 1 What is the cost of debt?
There is an outstanding bond from BP with a 15-year maturity, a $1,000 par value, a 6.9% coupon rate that is paid semi-annually, and a price of 98.17. As a result, the annual cost of debt for this bond is roughly 8.5 percent.
To calculate the cost of debt, we need to determine the yield to maturity (YTM) of the bond. The YTM is the rate of return an investor would earn by purchasing the bond and holding it until maturity. We can use the bond pricing formula to calculate the YTM.
The bond pricing formula is as follows:
\(\text{Bond Price} = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)
Where:
C = Coupon payment
r = Yield to maturity (YTM)
n = Number of periods
M = Par value
Given information:
Coupon payment (C) = \(\$1,000 \times \frac{6.1\%}{2} = \$30.50\)
Par value (M) = $1,000
Bond price = $1,000 × 83.57% = $835.70
We know the bond has 15 years to maturity, and coupons are paid semiannually. So, the number of periods (n) is 15 years × 2 = 30.
Using the bond pricing formula, we can rearrange it to solve for the YTM:
\(Bond Price = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)
Substituting the given values:
\($835.70 = \left(\frac{{\$30.50 \times (1 - (1 + r)^{-30})}}{{r}}\right) + \left(\frac{{\$1,000}}{{(1 + r)^{30}}}\right)\)
To find the YTM, we need to solve this equation either algebraically or using numerical methods like trial and error or using financial calculators/spreadsheets.
By using a financial calculator or spreadsheet, we find that the YTM is approximately 8.5%. Therefore, the cost of debt for this bond is approximately 8.5% per year.
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Complete question :
Problem 17 Intro BP has a bond outstanding with 15 years to maturity, a $1,000 par value, a coupon rate of 6.1%, with coupons paid semiannually, and a price of 83.57 (percent of par). | Attempt 1/10 for 10 pts. Part 1 What is the cost of debt? B+ decimals Submit
Consider the logistic differential equation:
dy/dx = y/8(6 - y)
Let f(t) be the particular solution to the differential equationwith f(0) = 8
a. What is the limiting factor?
b. Use Euler's method, starting at t=0 with two steps of equalsize, to appropriate F(1).
c. What is the range of f for t > 0
The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.
a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.
b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.
Using Euler's method with two steps of equal size, we can approximate f(1) as follows:
f(0.5) = f(0) + (1/2)dy/dx|t=0
= 8 - (1/2)(1/6)*8
= 7.333...
f(1) = f(0.5) + (1/2)dy/dx|t=0.5
= 7.333... - (1/2)(7.333.../8)*(6-7.333...)
= 6.636...
Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.
c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.
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On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1,−1)
(1,1)
(1,0)
(0,1)
============================================================
Explanation:
Point H is at (-2,2) and J is at (4,-2)
Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.
The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.
The midpoint is at (1,0). That's why the answer is choice C.
--------------------------
This next section is optional.
Points I and K are located at (4,3) and (-2,-3) respectively
Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1
Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0
We end up with the same midpoint (1,0)
The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.
Answer:
C is the correct answer
Step-by-step explanation:
Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros
Answer:It would be down.
Step-by-step explanation:
helppppppppppppppppppppppppppppppppp pls
Answer:
15
Step-by-step explanation:
74.75 divided by 5 is 14.95 so when you add to the nearest whole number it will be 15.
2. Which ordered pair is a solution of the equation y =
-11x + 4? Make sure you show work!
a. (0,-7)
b. (-1,-7)
c. (1, -7)
d. (2,26)
Answer:
c. (1, -7).
Step-by-step explanation:
Substitute the given values to see which set fits:
y = -11x + 4
Try (0, -7):
-11(0) + 4 = 4 . Not this one as we are looking for the result -7.
Try (-1, -7):
-11(-1) + 4 = 11+4 = 15. Not this one as we are looking for the result -7.
Try (1, -7):
-11(1) + 4 = -11+4 = -7. This is correct.
use the elimination method to solve the system of equations. choose the correct ordered pair x+y=3 y=8
Answer:
(-5, 8)
Step-by-step explanation:
Step 1: Multiply 2nd equation by -1
x + y = 3
-y = -8
Step 2: Elimination
x = -5
Step 3: Find y
y = 8
calculate the solar flux density (also known as the solar constant) for mercury using the following information: solar luminosity = 3.865 x 10^26 w distance of mercury from the sun = 5.791 x 10^10 m
Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².
The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.
using the formula for finding the solar flux density,
solar flux density = solar luminosity /(4 x π x distance between mercury and the sun)
solar flux density = 3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))
solar flux density = 9.12 x 10⁻³ W/m²
Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².
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Help me please thank u for helping me
Answer:
d
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
x=1/4
what is the solution to 4(x+2)>8x-3
Answer:
x < 11/4
Step-by-step explanation:
hope this is right!
Answer:
Exact Form:
x = 1/2 , 3/2
Decimal Form: x = 0.5 , 1.5
Mixed Number Form: x = 1/2 1/1,2
Step-by-step explanation:
Alonzo and Mindy are buying pretzels to share with their class. They will put all the pretzels into bags. Alonzo buys 8 pretzels. Mindy buys 3 times as many pretzels as Alonzo. Each bag will hold up to 5 pretzels. Alonzo and Mindy want to know the least number of bags they need to hold all the pretzels. Choose from the drop-down menus to correctly complete each statement. Alonzo and Mindy have a total of pretzels. Alonzo and Mindy need bags to hold all of the pretzels.
Answer: They'll need 7 bags, but the 7th bag will only have 2 pretzels. They have a total of 32 pretzels.
Please help with this math problem!! :)
Answer:
Easy there ya go
Step-by-step explanation:
center: -1
radius: 3
equation of the circle: 3 X -1
To relate two fields in a one-to-many
relationship, you connect them using a
a) data type
b) subdatasheet
c) common field
• d) field key
To relate two fields in a one-to-many relationship using a common field. Then the correct option is C.
You require a common field that is present in both tables in order to connect two fields in a one-to-many relationship. Data may be transferred between the two tables thanks to this shared field, which serves as a connection between them.
If you had a Customers table and an Orders table, for instance, you might link the two tables using a common column like CustomerID. Both tables would have the CustomerID column, allowing you to get all orders linked to a certain customer.
Thus, the correct option is C.
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A maple tree is 16 yards tall and its shadow is 12 yards long. A nearby observation tower is 12 yards tall. How long is the observation tower's shadow? Write your answer as a whole number or a decimal. Do not round.
Answer: 9 yards
Step-by-step explanation:
Given
The maple tree is 16 yards tall and its shadow is 12 yards tall
Suppose the angle made by the maple tree is x
\(\Rightarrow \cos x=\dfrac{12}{16}\)
For the tower also, the angle made by the tower and its shadow is x
Suppose the length of the shadow is y
\(\Rightarrow \cos x=\dfrac{y}{12}\)
Substitute the value of \(\cos x\)
\(\Rightarrow \dfrac{y}{12}=\dfrac{12}{16}\\\\\Rightarrow y=9\ \text{yards}\)