Answer:
48 is 19.7 more than 28.3
Step-by-step explanation:
You just subtract 48 - 28.3
A key word is THAN which hints that you need to subtract. MORE indicates addition which means it is 48 is +19.7 more than 28.3
Describe the domain and range of each function using inequality or set-builder notation.
Only need questions 14 and 16
The range of values that we are permitted to enter into our function is known as the domain of a function.The x values for a function like f make up this set (x).A function's range is the collection of values it can take as input.After we enter an x value, the function outputs this sequence of values.
What is the domain and range formula?
In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x).
Simply put, x=g(y) will calculate the function's range after we identify g's domain (y)
The image has four graphs.
In the first graph, the domain and range are (-,+).Domain for the second graph is [-4,4] and range is [3,-1].The third graph has the domain [-4,1] and the range [1,-4].In the fourth graph, the domain is [-,4] and the range is [-,-2].In light of this, there are four graphs in the image.Using set-builder notation or inequality notation, we must determine the scope and range of each function.
The range of values that we are permitted to pass into our function is known as the domain of a function.
The values of the x-axis for a function like f are contained in this collection (x).
This is the set of values that can be entered into a function.
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Giselle stars with the two parallel line segments shown. She correctly reflects the segments across
the x-axis and then translates them following the rule (x,y) → (x-2, y + 5).
Line Segment AB has endpoints (2,4) and (-2,-1). Line Segment CD has end points (3,1) and (-1.-4).
(image attached)
Which statements about the reflection and translation of the line segments are true? Select all that
apply.
omg what is the......................
EASY POINTS!!
Find the length of the hypotenuse in the triangle below. Round to the nearest tenth. Be sure to show your calculations and explain your answer
The length of c in the right angle triangle is 8.6 mm.
How to find the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
The sides of a right angle triangle c an be found using Pythagoras's theorem as follows:
Hence,
c² = a² + b²
Hence,
a and b are the legsc is the hypotenuse sideTherefore,
c² = 5² + 7²
c² = 25 + 49
c² = 74
square root both sides
c = √74
c = 8.60232526704
Therefore,
c = 8.6 mm
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there is a four-stage hypothesis about the origin of life. what are the stages in the correct order?
Asphere has a diameter of 20 ft What is its surface area?
The surface area of the sphere is?
Answer:
1256 ft²
Step-by-step explanation:
20 ÷ 2 = 10
4πr²
4 × 3.14 × 10²
4 × 3.14 × 100
4 × 314
1256
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest inch, how many inches are in 13 meters? Enter the answer in the box.
inches
Answer:
Answer: 512 inches
Step-by-step explanation:
Unit Conversion
We need to recall two basic unit conversions for length:
1 inch = 2.54 cm
1 meter = 100 cm
We are given a length of 13 meters. Converting to centimeters:
13 * 100 = 1300 cm
Now convert to inches dividing by 2.54:
\(1300 / 2.54 \approx 512\)
Answer: 512 inches
Answer:
512 inches
Step-by-step explanation:
75P to brainliest
Part C: y/2 = x/1
Solve the equation from Part C so that y is by itself on one side of the equation. How are this equation and the equation of the line related? What does this relationship mean about any triangle created using this line?
Answer:
i still see ur shadows in my room
Step-by-step explanation:
For f(x) = 2x+1 and g(x) = x^2-7, find (f-g)(x)
Answer:
(f-g)(x) = - x² + 2x + 8Step-by-step explanation:
f(x) = 2x+1
g(x) = x² - 7
To find (f-g)(x) subtract g(x) from f(x)
That's
(f-g)(x) = 2x + 1 - ( x² - 7)
Remove the bracket
We have
(f-g)(x) = 2x + 1 - x² + 7
Simplify
We have the final answer as
(f-g)(x) = - x² + 2x + 8Hope this helps you
What is the answer to this: ( Image below) Pls help, thanks!
The perimeter of the polygon is 232 units
Perimeter of a polygonFrom the question, we are to determine the perimeter of the regular polygon
From the diagram,
One of the polygon's side length is (4/3)x - 1/3
and another side length is x + 7
Since the figure is a regular polygon, we can write that
(4/3)x - 1/3 = x + 7
Now, solve for x
(4/3)x - 1/3 = x + 7
Multiply through by 3
4x - 1 = 3x + 21
4x - 3x = 21 + 1
x = 22
One of the polygon's side length is x + 7
∴ One side length = 22 + 7
One side length = 29
Since the polygon has 8 sides,
The perimeter of the polygon will be
8 × 29
= 232 units
Hence, the perimeter of the polygon is 232 units
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Helpppppp pleaseeeee
Answer:F(x)=3
Step-by-step explanation:
KK!
A square garden has an area of 400 square feet. Each side of the garden is (x-10) feet in length.
Write an equation that represents the AREA of the garden
Find the value of x using the square root method
What is the length of the side of the garden?
Answer:
400 = (x - 10)²
x² -20x -300 = 0
x = 30 and x = -10
Length side of the garden = 20 feet
Step-by-step explanation:
Given:
Area of square garden = 400 square feet
Length side of the garden = (x - 10) feet
Find:
Length side of the garden
Computation:
Area of square = side²
Area of square garden = Length side of the garden²
400 = (x - 10)²
400 = x² -20x + 100
x² -20x -300 = 0
x² -30x + 10x -300 = 0
x(x - 30) + 10(x - 30) = 0
(x - 30)(x + 10) = 0
So,
x = 30 and x = -10
Use x = 30 positive number
Length side of the garden = (x - 10) feet
Length side of the garden = (30 - 10) feet
Length side of the garden = 20 feet
I need the answer to this
Hi.
Please i need help with this question.
Workings Please
Note : 100k = N1
So , N1.10 = 110k.
Thanks.
<3
Answer: E. N1.10
Step-by-step explanation:
18 words cost a total of 35k
48 - 18 = 30 additional words cost 2.5k each: 30 × 2.5 = 75k
35k + 75k = 110k
= N1.10
here is a scatter plot for a set of bivariate data. what would you estimate the correlation coefficient to be?
You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.
What is meant by scatter plot?The relationship between the two variables in a bivariate data set is graphically represented by a scatter plot. Consider them to be the graphic depiction of two data sets that have been combined by allocating each axis in the plot to a distinct variable.
Due to the presence of two variables, this type of data is known as bivariate data. Only 1 variable may be displayed on a line plot. You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.
The standard deviation of each variable and the covariance between them must first be determined in order to calculate the Pearson correlation. Covariance is subtracted from the product of the standard deviations of the two variables to get the correlation coefficient.
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-help me write an equation!!!
The absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
In which a is the leading coefficient.
The coordinates of the vertex for this problem are given as follows:
(1, -2).
As the slope of the line is of 1, the leading coefficient is given as follows:
a = 1.
Hence the absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
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Pamela is 7 years older than Jiri. The sum of their ages is 47. What is Jiri's age?
If an 8 sided solid is rolled 180 times, how many times would you expect either a 3,5, or 7 to be rolled?
Answer:
no
Step-by-step explanation:
Please help with this problem:1. The table shows the minimum wage rates for the United States during different years.Year1978197919801990199119961997200720082009Minimum hourly wage ($)2.652.903.353.804.254.755.155.856.557.25(a)Using technology (graphing calculator or Excel spreadsheet), write the least squares regression equation that models the data above. Let x = time in years since 1900 and let y = minimum hourly wage.(b)Paste an image of your Excel spreadsheet/graphing calculator screen or attach Excel file when submitting your test into the drop box. This will provide support for your equation.(c)Use the equation to estimate the minimum hourly wage of a U.S. worker in 2025. Show your work
We will have the following.
First, we will have that the graph generated from the data will be:
Then, we will have the following:
a) Using the least squares linear regression method we will have that the line of best fit will be given by:
\(y=0.12694x-7.2283\)This can be seeing as follows:
c) Now, we will have that the approximation for the hourly wage in 2025 will be:
\(\begin{gathered} f(125)=0.12694(125)-7.2283\Rightarrow f(125)=8.6392 \\ \\ \Rightarrow f(125)\approx8.64 \end{gathered}\)So, the approximate hourly wage in 2025 will be $8.64.
a negative correlation coefficient means group of answer choices there is a direct relationship. as one variable increases, the other also increases or becomes larger. as one variable tends to increase or become larger, the other decreases or becomes smaller. nothing, a mistake has been made. there is no relationship between two variables.
A negative correlation coefficient indicates an inverse or indirect relationship between two variables. As one variable increases, the other tends to decrease or become smaller.
A correlation coefficient measures the strength and direction of the relationship between two variables. It can range from -1 to +1. A negative correlation coefficient indicates an inverse relationship between the variables.
In an inverse relationship, as one variable increases, the other variable tends to decrease or become smaller. Conversely, as one variable decreases, the other variable tends to increase or become larger. This means that the variables move in opposite directions.
For example, if we observe a negative correlation between the amount of studying done for an exam and the number of mistakes made, it means that as studying increases, the number of mistakes decreases, and vice versa.
On the other hand, a positive correlation coefficient indicates a direct relationship, where both variables tend to move in the same direction. In a positive correlation, as one variable increases, the other variable also increases, or as one variable decreases, the other variable decreases.
In conclusion, a negative correlation coefficient signifies an inverse relationship between two variables, where an increase in one variable is associated with a decrease in the other variable, and vice versa.
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Please answer this ASAP.
The coordinates of point D on the given line that intercepts the y-axis are: (0, 15/2).
What are the Coordinates of the Y-intercept of a Line?The coordinates of the point where a line intercepts the y-axis are the coordinates of the y-intercept of the line.
In the image given, a line to intercept the y-axis at point D. Point D is the y-intercept of the line. The coordinates of point D are the coordinates of the y-intercept of the line.
Step 1: Find the slope of the line using the two points, (-6, 0) and (2, 10)
Slope (m) = change in y / change in x = (10 - 0) / (2 -(-6))
Slope (m) = 10/8
m = 5/4
Step 2: Find the y-intercept of the line by substituting (x, y) = (2, 10) and m = 5/4 into y = mx + b
10 = 5/4(2) + b
10 = 5/2 + b
10 - 5/2 = b
15/2 = b
b = 15/2
The coordinates of the y-intercept is (0, 15/2). Therefore, the coordinates of point D are (0, 15/2).
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A hotwheels toy car is built in the ratio of 1:64 compared to a full size car. If the full size car is 192 inches long, how long is the hotwheels car?
Answer: 3 inches
Step-by-step explanation: quite simple just divide 192 by 64 since it’s a 1 to 64 scale toy car.
express the number as a ratio of integers. 0.19 = 0.19191919
We can express 0.19 as the ratio of integers 1919/10000 and the repeating decimal 0.19191919... as the ratio of integers 1919/1000000.
To express the number 0.19 as a ratio of integers, we can use a technique called repeating decimals. We can see that 0.19191919... has a repeating block of two digits, which is 19. To express this as a ratio of integers, we can assign a variable to the repeating block, say x. We can then write:For more such question on integers
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PLEASE HELP ME
6 x 6 x ? = 261
Answer:
7.25
Step-by-step explanation:
Simplify
36x = 261
Divide both sides by 36
x = 261/36
Simplify
x = 7.25
Hope this helps!
Answer:
7.25 or 7\(\frac{1\\}{4}\)
Step-by-step explanation:
261 ÷ 6 ÷ 6 = 7.25
What are the factors of 29 prime or composite?
The factors of 29 are 1 and 29, making it a prime number.
The factors of a number are the integers that divide the number without leaving a remainder. To find the factors of a number, we can use the divisibility rule or the prime factorization method.
In the case of 29, it can be observed that 29 is a prime number, which means it can only be divided by 1 and itself. Therefore, the factors of 29 are 1 and 29. A prime number is a number that is divisible by only 1 and itself, and 29 is a prime number.
It is not divisible by any other number besides 1 and 29.There are no other factors of 29 besides 1 and 29, which makes it a prime number and not composite.
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Point P lies on line k. A dilation of line k is performed with center P and scale factor 5. Which best describes the resulting line m? Line m and line k are intersecting but not perpendicular. B. Line m and line k are identical. C. Line m and line k are parallel. D. Line m and line k are perpendicular.
When a dilation is performed with a scale factor of 5 and the center of dilation is point P on line k, the resulting line m will be parallel to line k.
The correct answer is option C.
To understand this, let's consider the properties of dilation. A dilation is a transformation that resizes an object while preserving its shape. In this case, line k is being dilated with a scale factor of 5, which means that every point on line k will be stretched or shrunk by a factor of 5 from the center of dilation, point P.
During the dilation process, the relative distances between points on line k are maintained. This means that any two points on line k will still have the same ratio of distances after dilation. As a result, the resulting line m will have the same slope and direction as line k.
If line m and line k were identical, they would overlap completely, which contradicts the condition that the lines are intersecting but not perpendicular. If line m and line k were perpendicular, their slopes would be negative reciprocals of each other, which is not the case here.
Therefore, the correct answer is C. Line m and line k are parallel. The dilation does not alter the parallel relationship between the lines; instead, it expands or contracts the distances between corresponding points on the lines while maintaining their parallel orientation.
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suppose f 3 = 2 and f ′ 3 = −3. let g(x) = f(x) sin(x) and h(x) = cos(x) f(x) . find the following. (a) g ′ 3 (b) h ′ 3
The chain rule is a formula in calculus that describes how to compute the derivative of a composite function.
We can use the product rule and the chain rule to find the derivatives of g(x) and h(x):
(a) Using the product rule and the chain rule, we have:
g'(x) = f'(x)sin(x) + f(x)cos(x)
At x=3, we know that f(3) = 2 and f'(3) = -3, so:
g'(3) = f'(3)sin(3) + f(3)cos(3) = (-3)sin(3) + 2cos(3)
Therefore, g'(3) = -3sin(3) + 2cos(3).
(b) Using the product rule and the chain rule, we have:
h'(x) = f'(x)cos(x) - f(x)sin(x)
At x=3, we know that f(3) = 2 and f'(3) = -3, so:
h'(3) = f'(3)cos(3) - f(3)sin(3) = (-3)cos(3) - 2sin(3)
Therefore, h'(3) = -3cos(3) - 2sin(3).
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Diogo has a utility function, U(q1,q2)=q10.2q20.8 where q1 is chocolate candy and q2 is slices of pie. If the price of slices of pie, p2, is $1.00, the price of chocolate candy, p1, is $2.00, and income, Y, is $100, what is Diogo's optimal bundle? The optimal value of good q1 is q1= units. (Enter your response rounded to two decimal places.)
Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.
To find Diogo's optimal bundle, we need to maximize his utility function subject to his budget constraint. The budget constraint is given by:
p1q1 + p2q2 = Y
Substituting the given values:
2q1 + 1q2 = 100
We can rewrite this as:
q2 = (100 - 2q1) / 1
Now, let's maximize Diogo's utility function:
U(q1, q2) = q1^0.2 * q2^0.8
Substituting the expression for q2:
U(q1) = q1^0.2 * [(100 - 2q1) / 1]^0.8
To find the optimal bundle, we need to find the value of q1 that maximizes U(q1). We can do this by taking the derivative of U(q1) with respect to q1 and setting it equal to zero:
dU(q1) / dq1 = 0.2q1^(-0.8) * [(100 - 2q1) / 1]^0.8 - 0.8q1^0.2 * [(100 - 2q1) / 1]^(-0.2) * (-2 / 1) = 0
Simplifying the equation:
0.2[(100 - 2q1) / q1]^0.8 = 0.8
[(100 - 2q1) / q1]^0.8 = 4
Taking both sides to the power of 1/0.8:
(100 - 2q1) / q1 = 4^(1/0.8)
Solving for q1:
100 - 2q1 = 4^(1/0.8) * q1
100 = (4^(1/0.8) + 2) * q1
q1 = 100 / (4^(1/0.8) + 2)
Calculating the value of q1:
q1 ≈ 12.77
Now we can substitute this value back into the budget constraint to find q2:
2q1 + q2 = 100
2(12.77) + q2 = 100
25.54 + q2 = 100
q2 = 100 - 25.54
q2 ≈ 74.46
Therefore, Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.
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If two platters of sandwiches serves 12 people at a party, how many platters will you
need if 96 people show up?
Answer:
8 platters
Step-by-step explanation:
Winter Wonderland charges children $0.50 per ride down the sledding hill plus an entrance fee. Todd sled down the hill 16 times and paid $18 for his time at winter wonderland.
What is the equation in y=mx+b form?
The equation of the amount to be paid by anyone using the ride in slope intercept form is; y = 0.5x + 10
How to write an equation in slope intercept form?The general form of the equation of a Line in slope intercept form is;
y = mx + b
where;
m is slope
b is y-intercept
Now, we are told that;
Amount charge by Winter Wonderland per child = $0.50
We are told that there is a separate entrance fee.
Amount of times todd sled down the hill = 16 times
Amount paid by todd = $18
Thus, using the slope intercept form, we have;
18 = 0.5(16) + b
18 = 8 + b
b = 10
Thus, the equation of this amount to be paid in slope intercept form is;
y = 0.5x + 10
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Round off 31623 to the nearest ten thousand
Answer:
30,000
Step-by-step explanation:
31623
1 is less than 5 so you dont round up
30,000
-- Gage Millar, Algebra 2 Tutor