Answer:n=9
Step-by-step explanation:
North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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If the numbers below were ordered from least to greatest, which number could you use to replace the ____?
1/8, ____ 3/10, 0.6, 3/4
A. 1/5
B. 0.33
C. 2/5
D. 0.8
PLS HELP I WILL RATE!!
Consider the graph of the function f(x)= 1n x Which is a feature of function g if g(x)=-f(x-4)
A feature of function gif g(x) = f(x-4) is D. horizontal asymptote of y = 4
What is the asymptote aboutA horizontal asymptote is a straight line on a graph that a function approaches but never touches as the independent variable (usually denoted as x) increases or decreases without bound. In other words, the function gets closer and closer to the horizontal line as x becomes very large or very small, but it never actually touches or crosses it.
A function can have at most two horizontal asymptotes - one on the left side of the graph and one on the right side. The horizontal asymptotes of a function are determined by the highest degree of the polynomial in the numerator and the denominator of the function.
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Tracey paid $195 for an item that was originally priced at $450. What percent of the original price did Tracey pay?
Answer:
50
Step-by-step explanation:
Answer:
About 43%.
Step-by-step explanation:
Well... 195/450 = x/100
100 times 195 = 450x
19500 = 450x
19500/450 = 450x/450
= 43.3% ( the 3 after the decimal point is repeated, but I rounded to the nearest percent).
I hope this helps.
what a subcategory of a polygon
Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.
What is a polygon?A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.
Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.
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Complete question
How can polygons be considered a subcategory of two-dimensional figures?
If x is an integer and 0 < x < 2, what is x?
Answer:
x will be equal to 1 because 1 is bigger than 0 but smaller than 2
therefore x=1
10.) LANDSCAPING: A planter box in the city plaza measures 3 2/3 feet by 4 1/8 feet By
2 1/2 feet. Find the volume of the planter box. (Hint: Length x Width x Height
Volume)
Answer:
Step-by-step explanation: you have to multiply each fraction
Answer:
Ok, if the volume = length x width x height, then why don't you multiply
3 2/3 x 4 1/8 x 2 1/2 and get your answer. Do you want someone else to do that for you? You should know how to do that 5th grade multiplication, so get with it and do it, because I'm not going to do it for you.
Step-by-step explanation:
what is the average acce;eration of the particle over the interval 2
The particle's average acceleration between (1,3) and (3,3) is 0 m/s2.
What is coordinates?The ordinate is the distance of a point from the x-axis scaled with the y-axis. Coordinates are the abscissa and ordinate combined. The study of algebraic equations on graphs is known as coordinate geometry. Plotting points, lines, and curves on an x and y axis is an example of coordinate geometry. Make corrections. Coordinates are a pair of numbers that are used to locate a point or shape in a two-dimensional plane. A point's position on a 2D plane is defined by two numbers called the x-coordinate and the y-coordinate.
Here,
A= velocity/time
Points: ( 1,3) (3,3)
Velocity: 3-3=0
Time: 3-1=2
0/2= 0 meters/seconds^2
The average acceleration of the particle over the interval (1,3) and (3,3) is 0 m/s^2.
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Complete question:
What is the average acceleration of the particle within the time interval 1 second to 3 seconds? A. -1 meter/second2 B. 0 meters/second2 C. 1 meter/second2 D. 1.5 meters/second2 E. 2 meters/second2
1 point
1. Find the area. Round to the nearest tenth if the answer needs to be
rounded. Do not put units.
Card 1
Find the area of the
triangle.
12 cm
8 cm
our answer
Step-by-step explanation:
1/2×12cm×8cm
6cm×8m=48cm²
Area of triangle=48cm²
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a total of 309 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. how many adult tickets were sold
Answer: 103 adult tickets
Step-by-step explanation:
Adult tickets (a) = a
Student tickets (s) = 2a
Total = 309
a + 2a = 309
3a = 309
a = 103
Answer:
103Step-by-step explanation:
Total tickets sold = 309
Let the number of adult tickets sold be x
Let the number of student tickets sold be 2x
Adult tickets + student tickets = 309
\(x + 2x = 309\)
Collect like terms
\( 3x = 309\)
Divide both sides of the equation by 3
\( \frac{3x}{3} = \frac{309}{3} \)
Calculate
\(x = 103\)
Hence, 103 adult tickets were sold.
Hope this helps..
Good luck on your assignment...
find a solution y = 3 x − 4
Answer: The equation y = 3x - 4 is a linear equation in slope-intercept form, where the slope (3) is the coefficient of x and the y-intercept (-4) is the constant term. To find a solution for this equation, we can substitute a specific value of x and solve for the corresponding value of y.
For example, if we let x = 2, we can substitute it into the equation:
y = 3(2) - 4 = 6
So the solution for x=2 is y=6
We can also graph this equation, it will be a straight line with slope 3 and y-intercept (-4)
Step-by-step explanation:
Which statement is a counterexample to:
"All basketball players are more than 6 feet tall."
Answer:
Always when we have a statement like:
"all of {some group} have {a given property}"
A counterexample of this is:
"There exists at least one element of the given group that does not meet the property"
Then we have the statement"
All basketball players are most than 6 ft tall
The counterexample would be:
There exist one basketball player that measures 6ft
or
There exist one basketball player that measures less than 6ft
Given JK LM LM L IS THE MIDPOINT OF JN PROBE JKLNLNM
The required proof has been below that ΔJKL ≅ ΔLMN due to the SAS postulate.
What are Similar Triangles?Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
The triangles are given in the question, as shown.
As per the given figure, we have
JK = LM
∠LJK ≅ ∠NLM (same side inner angles)
Since L is the midpoint of JN. (Definition of midpoint)
Then JL ≅ LN
Now, for triangles ΔJKL and ΔLMN
JK ≅ LM (sides)
∠LJK ≅ ∠NLM (angle)
JL ≅ LN (sides)
By SAS postulate, ΔJKL ≅ ΔLMN.
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some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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PLEASEEE HELPPPPPPP :))))))))
Answer:
False
Explanation
The x-intercept of a line occurs when the line intersects with the x-axis.
You get to spin the wheel one time. What's the probability that you will
land on bankrupt?
The likelihood of the word "BANKRUPT" appearing on the Wheel of Fortune is 1/9 = 11.1%.
How many bankrupts are on the Wheel of Fortune?The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it. A "1" spinning is 3 out of 8 likely.
Select a direction, get a matrix, locate an eigenvector, normalize it, take its adjoint, multiply by your vector, determine the magnitude of the result, then square that. Finished, that's the likelihood.
Two Bankrupt wedges and one Lose a Turn wedge are also included on the wheel. The contestant's turn is forfeited if they land on either, and the Bankrupt wedge also gets rid of whatever money or rewards they have acquired during the round.
The likelihood of spinning "BANKRUPT" on any given spin of the Wheel of Fortune is 1/9 = 11.1%.
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determine the rate of change from the two points (3,4)(5,8)
Answer: 2
Step-by-step explanation:
8 - 4 = 4
5 - 3 = 2
4/2 = 2
Answer:
2Step-by-step explanation:
the rate of change or slope from the given two points is rise over run.
(3, 4) (5, 8)
slope = (y2 - y1) / (x2 - x1)
= (8 - 4) / (5 - 3)
= 4 / 2
= 2
Help mee I’ll give u extra pointss
The solution to the given inequality is\($$x \leq-6$$\)
What is Inequality?A relationship between two expressions or values that is not equal to each other is known as inequality in mathematics. So inequality emerges from an imbalance. In mathematics, there are several varieties of inequality, including polynomial inequality, rational inequality, and absolute value inequality. Both equations and inequalities are mathematical phrases created by connecting two expressions.The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. Polynomial inequality, rational inequality, and absolute value inequality are the three main categories of inequalities in mathematics. The two expressions that make up an equation or an inequality are connected in a mathematical statement. A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.\($$3 x+5 \leq-13$$\)
Move 5 to the right side
\($$3 x \leq-18$$\)
Divide both sides by 3
\($\frac{3 x}{3} \leq \frac{-18}{3}$\)
Simplify
\($$x \leq-6$$\)
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y=-2y-4 and y=1/2x-5
solve by systems of equations
pls help I need help ALL I NEED IS THE WORK PLSSSS HELP
Answer:
1. Y = -4/3
2. 2x = 2y + 10
Step-by-step explanation:
1. y =− 2y − 4
Step 1: Add 2y to both sides.
y + 2y = −2y − 4 + 2y
3y = −4
Step 2: Divide both sides by 3.
3y/3 = -4/3
y = -4/3
2. solve for x
y=1/2x-5
Step 1: Flip the equation.
1/2x−5=y
Step 2: Add 5 to both sides.
1/2x−5+5=y+5
1/2x=y+5
Step 3: Divide both sides by 1/2.
1/2x/1/2=y+5/1/2
x=2y+10
not sure if this will help but here you go :)
Which of these statements is true for the Cartesian coordinate system?
A.
the values below the X-axis are negative values of x
B.
the values below the X-axis are negative values of y
C.
the values above the X-axis are negative values of x
D.
the values above the X-axis are negative values of y
E.
the values on the X-axis are positive values of x
The correct statement is,
⇒ The values below the X-axis are negative values of y
We have to given that;
To find true statement for the Cartesian coordinate system.
Now, We know that;
the values below the X-axis are negative values of y
And, the values above the X-axis are positive values of y.
Thus, The correct statement is,
⇒ The values below the X-axis are negative values of y
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what i do wrong
?????
Answer:
just put 10 not x =10
Step-by-step explanation:
yeet yeet
What is |–6.5|?........................................................
Answer: 6.5
Step-by-step explanation:
\(|-6.5| = 6.5\)
_________
Identify the number line that correctly displays the solution x ≥ 3.
The correct number line that displays the solution `x ≥ 3` would be:
<------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
●------------------------------------------------>
The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.
The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.
It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.
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Charlie the trainer has two solo workout plans that he offers his clients: Plan A and plan B. Each client does either one or the other (not both). On Wednesday there were 5 clients who did plan A and 6 who did plan B. On Thursday there were 3 clients who did plan A and 2 who did plan B. Charlie trained his Wednesday clients for a total of 7 hours and his Thursday clients for a total of 3 hours. How long does each of the workout plans last?
Plan A lasts for 0.5 hours, and Plan B lasts for 0.75 hours based on the given information and the solution to the System of equations.
To determine the duration of each workout plan, let's assume that both Plan A and Plan B have a fixed duration. Let's denote the duration of Plan A as "x" hours and the duration of Plan B as "y" hours.
From the given information, we can form the following equations:
On Wednesday:
5 clients did Plan A, so the total duration for Plan A is 5x hours.
6 clients did Plan B, so the total duration for Plan B is 6y hours.
The total training duration on Wednesday is 7 hours, so we have the equation: 5x + 6y = 7 ... Equation (1)
On Thursday:
3 clients did Plan A, so the total duration for Plan A is 3x hours.
2 clients did Plan B, so the total duration for Plan B is 2y hours.
The total training duration on Thursday is 3 hours, so we have the equation: 3x + 2y = 3 ... Equation (2)
We now have a system of equations (Equation 1 and Equation 2) that we can solve to find the values of x and y.
Multiplying Equation (1) by 2 and Equation (2) by 5 to eliminate the y variable, we get:
10x + 12y = 14 ... Equation (3)
15x + 10y = 15 ... Equation (4)
Multiplying Equation (3) by 3 and Equation (4) by 2 to create a new system of equations:
30x + 36y = 42 ... Equation (5)
30x + 20y = 30 ... Equation (6)
Subtracting Equation (6) from Equation (5), we can eliminate the x variable:
(30x + 36y) - (30x + 20y) = 42 - 30
16y = 12
y = 12/16
y = 0.75
Substituting the value of y into Equation (2), we can solve for x:
3x + 2(0.75) = 3
3x + 1.5 = 3
3x = 3 - 1.5
3x = 1.5
x = 1.5/3
x = 0.5
Therefore, the duration of Plan A is 0.5 hours, and the duration of Plan B is 0.75 hours.
Plan A lasts for 0.5 hours, and Plan B lasts for 0.75 hours based on the given information and the solution to the system of equations.
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Please see attached picture.
Need help answering.
In the given graph, the x-intercepts are (2,0) and (6,0).
The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.
The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).
The sign of the leading coefficient is positive, since it is 1/2.
To find the equation of the quadratic function, we start by using the vertex form:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex. Plugging in the given vertex (4,-2), we get:
\(y = a(x - 4)^2 - 2\)
Next, we use the other two points to find two additional equations:
\(6 = a(8 - 4)^2 - 2 (plugging in (8,6))\\0 = a(2 - 4)^2 - 2 (plugging in (2,0))\)
Simplifying these equations, we get:
\(6 = 16a - 2\\8a = 4 -- > a = 1/2 \\0 = 4a - 2 \\4a = 2 -- > a = 1/2 \\\)
So the equation of the quadratic function is:
\(y = (1/2)(x - 4)^2 - 2\)
Now, we can answer the questions:
The y-intercept is the point where the graph intersects the y-axis. To find it, we set x = 0 in the equation:
\(y = (1/2)(0 - 4)^2 - 2 = 6\)
So the y-intercept is (0,6).
To find the x-intercepts, we set y = 0 in the equation:
\(0 = (1/2)(x - 4)^2 - 2\)
Simplifying, we get:
\((x - 4)^2 = 4\\ - 4 = \pm 2 \\= 2, 6\)
So the x-intercepts are (2,0) and (6,0).
The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.
The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).
The sign of the leading coefficient is positive, since it is 1/2.
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Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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Help me on this please
Answer:
the measure of angle DCF is 75° + 54° = 129°
how oes the relationship between logarithms and exponential functions help us find solutions
The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.
Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.
One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.
Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.
This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.
Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.
In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.
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a dilation has center (0,0). Find the image of the point L(-4,0) for the scale factor 7.
The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.
To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.
The coordinates of the image point L' will be:
L' = (-4 × 7, 0 × 7) = (-28, 0)
Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
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