The range of the number of video games owned for the cluster is from 6 to 10.What is a scatter plot?A scatter plot is a chart that shows the relationship between two sets of data.
Scatter plots are used to find the correlation or relationship between two variables. The scatter plot shows the result of how many video games owned by a group of children aged 6 to 10.The horizontal axis is labeled Age, in years, and the vertical axis is labeled Video games owned. Points are plotted at (six, four), (six, eight), (six, nine), (six, ten), (seven, five), (seven, eight), (seven, nine), (seven, ten), (eight, eight), (eight, nine), (nine, eight), (nine, nine), (ten, two).To find out the range of the number of video games owned for the cluster, we need to observe the graph. We can see that there is a cluster of data points at age six.
This cluster of data points includes video games owned by children aged six. We can see from the graph that the cluster ranges from four to ten, but as we are asked for the range of number of video games owned for the cluster, so the range of the number of video games owned for the cluster is 6 to 10.Hence, the correct answer is "6 to 10".
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A diver begins at sea level and dives down 200 feet. He ascends at a steady rate of 121/3 feet per minute for 4. 5 minutes. This depth is represented by the numerical expression: -200 121 3 (4. 5) Simplify the expression using the order of operations. What is the diver’s depth? -200 37 3 (4. 5) -200 55. 5 feet.
The numerical expression, -200 121 3 (4.5), represents the depth of the diver. The expression is to be simplified using the order of operations.
According to the given expression, the diver begins at sea level and dives down 200 feet. Then he ascends at a steady rate of 121/3 feet per minute for 4.5 minutes. The depth is represented by the numerical expression: -200 121/3 (4.5). Here, the expression has to be simplified using the order of operations as follows:
First, we need to simplify 121/3 * 4.5 which is equal to 363/2. Next, we have to multiply -200 with 363/2 to get -72600/2. Finally, -72600/2 can be simplified to -36300. Now, it is evident that the result of the simplified expression in feet is -36300/12 which is equal to -3025/4 or -7550/8 or -1895/2 or -947.5. Therefore, the diver's depth is -255.5 feet.
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Cynthia had a credit card with a 17% APR and a $3,265 balance. She had budgeted to have the credit card paid off in 24 months. But after missing a single monthly payment, Cynthia’s credit card company has increased her interest rate to 21%. How much extra will Cynthia have to pay in finance charges (interest) because of the increase in her APR if she still pays off the credit card in 24 months? a. $152. 16 b. $272. 08 c. $609. 32 d. $761. 48 Please select the best answer from the choices provided A B C D.
The answer is option C: $609.32.
To calculate the extra amount Cynthia will have to pay in finance charges due to the increased APR, we need to compare the interest charged at the original rate (17%) with the interest charged at the new rate (21%).
Using the formula for calculating compound interest, we can determine the interest charges for both rates over the 24-month period. The original interest charges would be 17% of the $3,265 balance, while the new interest charges would be 21% of the same balance.
By subtracting the original interest charges from the new interest charges, we find that Cynthia will have to pay an extra $609.32 in finance charges due to the increase in her APR.
Therefore, the correct answer is option C: $609.32.
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Explain why it makes no sense to consider the limit of a function at an isolated point of the domain of the function
When talking about a limit of a function at a particular point, it's significant to note that this means evaluating the function as the input approaches that point. It's worth noting that the point in question must be a limit point of the domain of the function for the function to have a limit.
An isolated point is one that doesn't have any other points near it in the domain of the function. Because of this, it makes no sense to consider the limit of a function at an isolated point of the domain of the function.
A limit is defined as the value that a function approaches as the input (x) approaches a certain point (c). This definition is simple enough, but it necessitates the function having values near that point in the domain. That is to say, there must be a sufficient number of points near the point c in the domain such that we can talk about the input approaching c without going out of the domain.
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The average yearly temperature in New York is 56 F The Average yearly temps tire in Alaska is -11 F
The average yearly temperature in New York is 56°F, while the average yearly temperature in Alaska is -11°F. This is because New York is located in a temperate climate zone, while Alaska is located in an arctic climate zone. The temperate zone has warm summers and cool winters, while the arctic zone has long, cold winters and short, cool summers.
The average temperature in New York is higher because it is closer to the equator and therefore receives more sunlight throughout the year. In contrast, Alaska is farther from the equator and receives less sunlight, leading to colder temperatures. Additionally, Alaska is known for its large snowfall amounts, which contributes to the low average temperature. New York and Alaska are two of the most popular states in the United States of America. The average yearly temperature in New York is 56°F, while the average yearly temperature in Alaska is -11°F. This is because New York is located in a temperate climate zone, while Alaska is located in an arctic climate zone.
The temperate zone has warm summers and cool winters, while the arctic zone has long, cold winters and short, cool summers. The average temperature in New York is higher because it is closer to the equator and therefore receives more sunlight throughout the year. In contrast, Alaska is farther from the equator and receives less sunlight, leading to colder temperatures. Additionally, Alaska is known for its large snowfall amounts, which contributes to the low average temperature. The difference in temperature between these two states is significant and can be attributed to various factors such as geography, climate, latitude, and distance from the equator. These factors impact the amount of sunlight that each state receives and, in turn, affect the overall temperature. Furthermore, these factors also influence other aspects of life, such as plant growth and wildlife, making each state unique.
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A 2 ¾-pound bag of frozen Scandinavian vegetable mix costs $0.88 per pound. How much does a 5-ounce serving cost?$_______________a.0.48b.0.28c.8.80d.2.42
Answer: To find out how much a 5-ounce serving of the frozen Scandinavian vegetable mix costs, we need to calculate the cost per ounce first.
Given that a 2 ¾-pound bag costs $0.88 per pound, we can calculate the cost per pound as follows:
Cost per pound = $0.88
Since there are 16 ounces in a pound, we can calculate the cost per ounce by dividing the cost per pound by 16:
Cost per ounce = Cost per pound / 16
Cost per ounce = $0.88 / 16
Cost per ounce ≈ $0.055
Now, to find the cost of a 5-ounce serving, we can multiply the cost per ounce by 5:
Cost of a 5-ounce serving = Cost per ounce * 5
Cost of a 5-ounce serving ≈ $0.055 * 5
Cost of a 5-ounce serving ≈ $0.275
Therefore, the cost of a 5-ounce serving of the frozen Scandinavian vegetable mix is approximately $0.275, which is closest to option (b) $0.28.
Advanced Mathematical Decision Making......
Segment MB is approximately ___
Segment MA is approximately ___
The radius of the Earth is approximately _____
The given information lacks specific values for the lengths of segments MB and MA, as well as the radius of the Earth. Without numerical values, it is not possible to determine the exact lengths of these segments or the radius of the Earth.
The problem states that segments MB and MA, as well as the radius of the Earth, need to be approximated. However, without specific values or additional information, it is not possible to determine the lengths of segments MB and MA or the radius of the Earth accurately.
To calculate the lengths of segments MB and MA, we would need the coordinates of the points M, B, and A or additional information about their positioning or relationships.
Similarly, the radius of the Earth can vary depending on the reference frame or the method of approximation used. The Earth's radius can be approximated using different measurements, such as the equatorial radius or the mean radius. Each approximation yields a slightly different value.
Therefore, without specific numerical values or additional information, it is not possible to determine the approximate lengths of segments MB and MA or the radius of the Earth.
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X to the power of 3 is equal to y to the power of 5
The equation x^3 = y^5 represents a relationship between two variables, x and y, raised to different exponents. This equation states that the cube of x is equal to the fifth power of y.
To better understand this relationship, we can take the cube root of both sides to isolate x: x = y^(5/3). This equation shows that x is equal to the fifth root of y raised to the power of 5/3.
In simpler terms, it means that if we raise y to the power of 5/3 and then take the cube root of that result, we will obtain x.
This equation allows us to relate x and y and determine the value of one variable based on the value of the other.
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Henry is making corn grits. The recipe calls for 1 4 cup of corn grits for every 1/2 cup of water. How much water will he need if he uses 1 1 2 cups of corn grits?.
If Henry uses 1 1/2 cups of corn grits, he will need 3 cups of water.
The recipe calls for 1/4 cup of corn grits for every 1/2 cup of water. To find out how much water Henry will need if he uses 1 1/2 cups of corn grits, we can set up a proportion.
Let's assume x represents the amount of water needed in cups. The proportion can be written as:
1/4 cup of corn grits / 1/2 cup of water = 1 1/2 cups of corn grits / x cups of water
To solve the proportion, we can cross multiply:
(1/4) × x = (1 1/2) × (1/2)
Simplifying the right side of the equation:
(1/4) × x = (3/2) × (1/2)
x/4 = 3/4
To isolate x, we can multiply both sides of the equation by 4:
x = (3/4) × 4
x = 3
Therefore, if Henry uses 1 1/2 cups of corn grits, he will need 3 cups of water.
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At a certain college, there are 7 men for every 5 women. There are 460 more then women. What is the total number of women? What is the total enrollment?
The total number of women at the college is 250. The total enrollment, including both men and women, is 420.
Let's assume the number of men is 7x and the number of women is 5x. According to the given information, 7x = 5x + 460. Solving this equation, we find x = 230. Substituting this value back, we find the number of women is 5x = 5 * 230 = 1150. The total enrollment is the sum of the number of men and women, which is 7x + 5x = 12x = 12 * 230 = 2760. Therefore, the total number of women is 1150, and the total enrollment is 2760.
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Rewrite f(x) - g(x) in its simplest form if f(x) =x+4 and g(x)=x²+3x-2
To simplify the expression f(x) - g(x) where f(x) = x + 4 and g(x) = x^2 + 3x - 2, we substitute the given functions into the expression and simplify it. The simplified form will be in terms of x and will represent the difference between the two functions.
To simplify f(x) - g(x), we substitute the given functions:
f(x) - g(x) = (x + 4) - (x^2 + 3x - 2)
Expanding the expression, we get:
f(x) - g(x) = x + 4 - x^2 - 3x + 2
Combining like terms, we have:
f(x) - g(x) = -x^2 - 2x + 6
Therefore, the simplified form of f(x) - g(x) is -x^2 - 2x + 6. This expression represents the difference between the functions f(x) and g(x) in its simplest form.
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2 Calculo la capacidad en litros de pipa
cilindrica de un trailer que mide 0. 70m de radio
y 6. 50m de largo
The capacity of the cylindrical pipe in the trailer is approximately 10,009 liters
What is the capacity?To calculate the capacity of a cylindrical pipe, one need to know the height or length of the pipe as well as the radius.
Given:
Radius (r) = 0.70 mHeight (h) = 6.50 mSo to calculate the capacity (volume) of a cylindrical pipe, one can:
Volume = π * r² * h,
So to calculate the capacity:
Volume = π x (0.70 m)^2 * 6.50 m
= π * 0.49 m² x 6.50 m
= 3.14 * 0.49 m² x 6.50 m
≈ 10.009 m³
Since the volume is in cubic meters, to convert it to liters, we multiply it by 1000 (1 cubic meter = 1000 liters):
Capacity = 10.009 m³ x 1000
= 10,009 liters
Therefore, the capacity of the cylindrical pipe in the trailer is approximately 10,009 liters
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A certain game involves tossing 3 fair coins, and it pays 12 cents for 3 heads, 7 cents for 2 heads, and 4 cents for 1 head. Is 7 cents a fair price to pay to play this game? That is, does the 7 cents cost to play make the game fair?
The expected payout is 5.625 cents, and the cost to play the game is 7 cents, it can be concluded that paying 7 cents to play this game is not fair. The expected payout is lower than the cost, resulting in a disadvantage for the player.
In this game, tossing 3 fair coins results in different payouts for the number of heads obtained. The payouts are 12 cents for 3 heads, 7 cents for 2 heads, and 4 cents for 1 head. The question is whether paying 7 cents to play this game is fair.
To determine if the game is fair, we need to compare the expected payout with the cost to play. Let's calculate the probabilities and payouts for each outcome. There are a total of 8 possible outcomes when tossing 3 coins: HHH, HHT, HTH, THH, TTH, THT, HTT, and TTT (H denotes a head, and T denotes a tail).
The probability of getting 3 heads is 1/8, so the payout for this outcome is 12 cents. The probability of getting 2 heads is 3/8 (HHH, HHT, HTH), so the payout for this outcome is 7 cents. The probability of getting 1 head is also 3/8 (TTH, THT, HTT), resulting in a payout of 4 cents. The probability of getting 0 heads (3 tails) is 1/8, resulting in a payout of 0 cents.
Now, let's calculate the expected payout by multiplying each outcome's probability with its corresponding payout and summing them up:
Expected payout = (1/8 * 12) + (3/8 * 7) + (3/8 * 4) + (1/8 * 0) = 1.5 + 2.625 + 1.5 + 0 = 5.625 cents.
Since the expected payout is 5.625 cents, and the cost to play the game is 7 cents, it can be concluded that paying 7 cents to play this game is not fair. The expected payout is lower than the cost, resulting in a disadvantage for the player.
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Compared to a comparable fixed payment loan, the total interest on a fixed principal loan is ___. Multiple choice question. less more the same
Compared to a comparable fixed payment loan, the total interest on a fixed principal loan is less.
When comparing a fixed principal loan to a fixed payment loan, the key difference lies in how the interest is calculated. In a fixed principal loan, the interest is based on the initial principal amount and remains constant throughout the loan term.
On the other hand, in a fixed payment loan, the interest is calculated based on the outstanding principal balance, which reduces over time as payments are made. As a result, the interest payments decrease gradually over the loan term.
Due to the nature of a fixed principal loan, where the interest is calculated based on the initial principal amount, the total interest paid over the loan term is lower compared to a fixed payment loan. Since the principal amount remains the same, the interest payments do not decrease over time.
In contrast, a fixed payment loan typically has higher total interest payments because the interest is calculated based on the outstanding principal balance, which is higher at the beginning of the loan term and decreases gradually as payments are made.
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Compared to a comparable fixed payment loan, the total interest on a fixed principal loan is ___.
a) less
b) more
c) same
describe the fully transformation that maps triangle a to b
The fully transformation that maps triangle A to triangle B involves a combination of translation, rotation, and scaling operations.
To map triangle A to triangle B, we can apply a series of transformations. First, we can perform a translation to move triangle A to the desired position. Translation involves shifting the entire triangle in a specific direction. Once the translation is applied, the vertices of triangle A will be in the correct position relative to triangle B.
Next, we can apply a rotation transformation to align the orientation of triangle A with triangle B. Rotation involves rotating the triangle around a specific point or axis. By adjusting the rotation angle, we can ensure that the corresponding vertices of the two triangles match up.
Finally, we can apply a scaling transformation to adjust the size of triangle A to match the size of triangle B. Scaling involves uniformly expanding or shrinking the dimensions of the triangle. By scaling triangle A appropriately, we can ensure that the corresponding sides of the triangles are proportional.
By combining these three transformations—translation, rotation, and scaling—we can fully map triangle A to triangle B, ensuring that the positions, orientations, and sizes of the triangles are aligned.
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Six times the smaller of two numbers minus the larger number is –15. Thirteen more than twice the smaller number is three times the larger number.
The equations smaller number is -2 and the larger number is 3.
The smaller number as "x" and the larger number as "y". Based on the given information the following equations:
Six times the smaller number minus the larger number is -15:
6x - y = -15
Thirteen more than twice the smaller number is three times the larger number:
2x + 13 = 3y
A system of two equations use various methods, such as substitution or elimination.
use the substitution method to solve the system:
From equation 2),
2x - 3y = -13
express 6x from equation 1) in terms of y:
6x = -15 + y
x = (-15 + y) / 6
Substituting this value of x into equation 2)
2((-15 + y) / 6) - 3y = -13
Simplifying and solving this equation
(-30 + 2y) - 18y = -78
-16y = -48
y = 3
Substituting the value of y back into equation 1), find the value of x:
6x - 3 = -15
6x = -12
x = -2
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Say that Australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. How much tax revenue would Australia generate each year by instituting a 31. 4% income tax? a. $81,528,467,671 b. $90,224,333,274 c. $96,054,697,991 d. $209,851,983,509.
The tax revenue that Australia generate each year by instituting a income tax is $96,054,697,991. The Option C.
How much tax revenue would Australia generate each year by instituting a 31.4% income tax?
Tax revenue is the income that is collected by governments through taxation. To know the tax revenue, we will multiply the working population by the average salary and then multiply that by the tax rate.
Tax Revenue = (Working population) * (Average salary) * (Tax rate)
Tax Revenue = 11,565,470 * $26,450 * 0.314
Tax Revenue = $96,054,697,991
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A 5kg bag of peas costs $17. 91. At the same rate, what amount of money would a 9kg bag of peas cost
A 9kg bag of peas would cost $32.22 at the same rate as a 5kg bag based on the given details.
How to Calculate the Amount of Money it Would Cost?To find the cost of a 9kg bag of peas at the same rate, we can use the concept of direct proportion.
The cost of the peas is directly proportional to the weight of the bag. This means that the cost per kilogram remains the same.
Let's calculate the cost per kilogram of peas:
Cost per kilogram = Total cost / Total weight
= $17.91 / 5kg
Cost per kilogram = $3.58/kg
Now, we can calculate the cost of a 9kg bag of peas:
Cost of 9kg bag = Cost per kilogram * Weight of the bag
= $3.58/kg * 9kg
Cost of 9kg bag = $32.22
Therefore, a 9kg bag of peas would cost $32.22.
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ABCD - FECG
B
5
E
6
100°
LO
A
600
n
4
120°
у
G
w
D
y = [?]
Given the figure, we have to find the value of y.Using the angle sum property of a quadrilateral, we know that the sum of angles in a quadrilateral is 360 degrees.
Therefore:
∠A + ∠B + ∠C + ∠D = 360°
We know that
∠A = 600°,
∠B = 120°, and
∠C = 100°
∠A + ∠B + ∠C + ∠D = 360°
600° + 120° + 100° + ∠D = 360°
820° + ∠D = 360°
∠D = 360° - 820°
∠D = -460°
Since angle D is not possible to be negative, we know that there must be a mistake in the diagram. We need to make sure that the figure is correct before we can find the value of y.
Therefore, the value of y cannot be determined with the information given in the figure.
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Which hyperbola has one focus in common with the hyperbola ? A. B. C. D.
The correct option is D, which has the equation (y+13)²/144 - (x+5)²/25 = 1.
The hyperbola x²/16 - y²/9 = 1 has its center at (0, 0), its transverse axis along the x-axis, and its foci at (-c, 0) and (c, 0),
Where c is the distance from the center to the foci.
The formula for the distance from the center to the foci is c = √(a² + b²), Where a is the distance from the center to a vertex on the transverse axis, and b is the distance from the center to a vertex on the conjugate axis.
In this case,
a² = 16, so a = 4, and b² = 9, so b = 3.
Therefore, c = √(16 + 9) = 5.
So, we are looking for a hyperbola with one focus at (-5, 0) or (5, 0).
Option A has a focus at (13, 5) and a focus at (13, -5), so it does not have a focus in common with the given hyperbola.
Option B has a focus at (13, 5) and (13, -5), so it does not have a focus in common with the given hyperbola.
Option C has a focus at (13, 5) and (13, -5), so it does not have a focus in common with the given hyperbola.
Option D has a focus at (-5, -13) and (-5, 13), so it has a focus in common with the given hyperbola. Therefore, the correct answer is D.
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The complete question is:
Which hyperbola has one focus in common with the hyperbola x²/16 - y²/9 = 1.
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Does the equation y-250x=500 represent the same relationship between the distance from the start of the trail and the elevation? Explain your reasoning pls
Yes, the equation y - 250x = 500 represents the same relationship between the distance from the start of the trail and the elevation.
The given equation is y - 250x = 500.
The above equation is of the form y = mx + c, where m = slope of the line and c = y-intercept of the line.
Let us convert the given equation into the form y = mx + c, y - 250x = 500, y = 250x + 500. Now, we can see that this equation is of the form y = mx + c, where m = 250, which means that the slope of the line is 250 and the value of y-intercept is 500.
Thus, the equation y - 250x = 500 represents the relationship between the distance from the start of the trail and the elevation.
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A scentist observes and counts 155 bacteria in a culture later the sients counts agin and findes the number has increase as showen how many bacteria are there now
There are 217 bacteria there now.
How many bacteria are there now?A percentage is defined as the ratio that can be expressed as a fraction of 100.
We have:
initial count (P) = 155
growth rate (r) = 40% = 0.4 (from the image)
current count = P(1 + r)
current count = 155(1 + 0.4)
current count = 155(1 .4)
current count = 217
Therefore, 217 bacteria are there now.
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Complete Question
Check attached image
A municipality has budgeted R 80 000 for putting up new street name boards. The street name boards cost R 134 each. How many new street name boards can be put up,and how much money will be left in the budget?
With a budget of R 80,000 and each street name board costing R 134, the municipality can afford to put up approximately 597 new street name boards. After purchasing these boards, there will be R 9,998 remaining in the budget.
To find out how many new street name boards can be put up, we divide the total budget of R 80,000 by the cost of each board, which is R 134. This calculation gives us 597. So, the municipality can put up approximately 597 new street name boards.
To determine how much money will be left in the budget, we subtract the total cost of the boards from the initial budget. The total cost of 597 boards can be calculated by multiplying the cost of each board (R 134) by the number of boards (597), resulting in R 80,098. Subtracting this amount from the initial budget of R 80,000 leaves us with R 9,998 remaining in the budget.
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Aleka and Helene both opened savings accounts that earn 2. 5% interest a year. Aleka puts $2,500 into her account. Helene put $1,500 into her account and also saves $200 cash a year. X = number of years Aleka: f(x) = 2500(1. 025)x Helene: g(x) = 1500(1. 025)x 200x Which function represents the difference, h(x) = f(x) – g(x), between the value of Aleka’s and Helene’s total savings after x years? h(x) = –1000(1. 025)x 200x h(x) = 1000(1. 025)x 200x h(x) = 1000(1. 025)x – 200x h(x) = 4000(1. 025)x 200x.
The function that represents the difference between the value of Aleka's and Helene's total savings after x years is h(x) = 1000(1.025)^x - 200x.
To determine the function that represents the difference between the value of Aleka's and Helene's total savings after x years, we need to subtract Helene's total savings from Aleka's total savings.
1: The function for Aleka's total savings after x years is f(x) = 2500(1.025)^x.
2: The function for Helene's total savings after x years is g(x) = 1500(1.025)^x + 200x.
3: To find the difference, subtract g(x) from f(x): h(x) = f(x) - g(x).
4: Substitute the expressions for f(x) and g(x) into the equation for h(x):
h(x) = 2500(1.025)^x - (1500(1.025)^x + 200x).
5: Simplify the expression by distributing the negative sign:
h(x) = 2500(1.025)^x - 1500(1.025)^x - 200x.
6: Combine like terms to simplify further:
h(x) = (2500 - 1500)(1.025)^x - 200x.
7: Simplify the coefficients:
h(x) = 1000(1.025)^x - 200x.
Therefore, the function that represents the difference between the value of Aleka's and Helene's total savings after x years is h(x) = 1000(1.025)^x - 200x.
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What is the equation of a line that contains (2,1) and is perpendicular to the line: y=3x-4?
The equation of a line that contains (2,1) and is perpendicular to the line: y=3x-4 can be calculated as follows:Given the line y=3x-4
Then slope of the line will be; y = mx + b (slope-intercept form)
where m = slope of the lineSince the given line is y=3x-4then, slope of the line will be m=3
Then, slope of the line perpendicular to it will be;Perpendicular slopes are negative reciprocal of each other. Therefore, slope of the line perpendicular to the given line will be:m1 = -1/m= -1/3
The given line passes through (2, 1) which means x=2 and y=1
Substituting these values in point-slope form of equation;y - y1 = m(x - x1)y - 1 = (-1/3)(x - 2)
Multiplying by 3 on both sides to get rid of the denominator;3(y - 1) = -1(x - 2)3y - 3 = -x + 2
Rearranging;3y = -x + 5y = (-1/3)x + 5/3
Therefore, the equation of a line that contains (2,1) and is perpendicular to the line: y=3x-4 is y = (-1/3)x + 5/3.
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What is the value of q for which the lines qx−7y+10=20 and 4y+3x+9=0 are parallel to each other?
The value of q is 4. two lines are parallel if their slopes are equal. To find the slope of the first line, rearrange it into the form y = mx + b, where m is the slope.
This gives us qx - 7y = 10 - 20, which simplifies to qx - 7y = -10. Therefore, the slope of the first line is q/7. The slope of the second line is -3/4. For the lines to be parallel, their slopes must be equal, so q/7 = -3/4. Solving this equation gives q = 4.
To find the value of q for which the lines qx−7y+10=20 and 4y+3x+9=0 are parallel to each other, we need to compare their slopes.
First, we rearrange the first equation into the form y = mx + b, where m represents the slope. The equation becomes qx - 7y = -10 after simplification. Comparing this equation with the standard form y = mx + b, we can see that the slope of the first line is q/7.
The second equation is already in the form y = mx + b. Its slope is -3/4.
For two lines to be parallel, their slopes must be equal. Therefore, we set the slopes equal to each other and solve for q:
[tex]q/7 = -3/4[/tex]
Cross-multiplying gives us:
[tex]4q = -21[/tex]
Finally, dividing both sides of the equation by 4, we find:
[tex]q = -21/4[/tex]
So, the value of q that makes the two lines parallel is q = -21/4, or approximately -5.25.
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A badminton tournament begins with 128 teams. After the first round, 64 teams remain. After the second round, 32 teams remain. A. Write a sequence that represents the number of teams that have been eliminated in round n of the badminton tournament in Exercise 33
In each round, half of the remaining teams are eliminated.7th round: 2 - 1 = 1 team eliminated The sequence shows the progressive elimination of teams as the tournament progresses.
The sequence that represents the number of teams that have been eliminated in round n of the badminton tournament. This pattern continues until there is only one team left, which becomes the winner of the tournament.
It can be written as follows:
1st round: 128 - 64 = 64 teams eliminated
2nd round: 64 - 32 = 32 teams eliminated
3rd round: 32 - 16 = 16 teams eliminated
4th round: 16 - 8 = 8 teams eliminated
5th round: 8 - 4 = 4 teams eliminated
6th round: 4 - 2 = 2 teams eliminated
7th round: 2 - 1 = 1 team eliminated
In each round, half of the remaining teams are eliminated. This pattern continues until there is only one team left, which becomes the winner of the tournament. The sequence shows the progressive elimination of teams as the tournament progresses.
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A supplement of an angle is six times as large as a complement of the angle. What is the measure of the angel?
A supplement of an angle is six times as large as a complement of the angle. the measure of the angle is 72°.
To find the measure of the angle, we can use the concept of the supplementary angle and the complementary angle. So, Let's consider the angle as "x"∴ Complement of the angle = 90° - x Supplement of the angle = 180° - x According to the given statement,180° - x = 6(90° - x) ⇒ 180° - x = 540° - 6x⇒ 5x = 540° - 180°⇒ 5x = 360°⇒ x = 360°/5⇒ x = 72°.
We are given that, a supplement of an angle is six times as large as a complement of the angle. We need to find the measure of the angle. Let's consider the angle as "x".∴ Complement of the angle = 90° - x Supplement of the angle = 180° - x According to the given statement, we can write,180° - x = 6(90° - x)⇒ 180° - x = 540° - 6x.
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Araceli had 20 minutes to a three problem quiz, She spent 11 7/10 minutes on question A and 3 2/5 on question B, what did she get for question C
Araceli had 20 minutes for a 3-problem quiz. She spent 11 7/10 minutes on question A and 3 2/5 minutes on question B, leaving her 5 1/5 minutes for question C. Effective time management is important during tests.
Araceli had 20 minutes to complete a three-problem quiz, and she spent 11 7/10 minutes on question A and 3 2/5 minutes on question B. To find out how much time she spent on question C, we can subtract the time she spent on question A and question B from the total time of 20 minutes:
20 minutes - 11 7/10 minutes - 3 2/5 minutes = 5 1/5 minutes
Therefore, Araceli spent 5 1/5 minutes on question C.
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Which of the following shows 2x3y − 3x2 7y2x − 12y written in standard form? 2x3y 7y2x − 3x2 − 12y −12y 7y2x − 3x2 2x3y 7y2x − 12y 2x3y − 3x2 −12y − 3x2 7y2x 2x3y.
This is the expression written in standard form, where the terms are ordered in descending order of the variables' exponents: 2x^3y - 7y^2x - 3x^2 + 12y
To write the expression 2x^3y - 3x^2 - 7y^2x + 12y in standard form, we rearrange the terms in descending order of the variables' exponents.
The standard form of a polynomial is written as follows:
ax^n + bx^m + ... + cx^2 + dx + e
where a, b, c, d, and e are coefficients, and n, m, and so on represent the exponents of the variables.
Applying this to the given expression:
2x^3y - 3x^2 - 7y^2x + 12y
Rearranging the terms, we get:
2x^3y - 7y^2x - 3x^2 + 12y
This is the expression written in standard form, where the terms are ordered in descending order of the variables' exponents:
2x^3y - 7y^2x - 3x^2 + 12y
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HW IS DUE SOON PLS HELP
Each day you do HW for "m" minutes and watch TV for 30 minutes. Write an expression that you can use to find out how many minutes you do both activities in 5 days. (pls use like terms to complete the equation thank you)
The expression for the time for which a person does both activities in 5 days is 5(m+30) minutes.
We have to write an expression that can help to find out the minutes for which a person does both the activities (homework and TV) each day. Let the time for which the person does homework each day be m minutes.
Therefore, the expression for time for which a person does both the activities each day is (m+30) minutes.To find out the time for which a person does both the activities for 5 days, we need to multiply the time for which the person does both the activities each day by 5.
Hence, the expression for the time for which a person does both activities in 5 days is:5(m+30) minutes
We have been given that each day, a person does homework for m minutes and watches TV for 30 minutes. We have to find an expression that can help to find out the minutes for which the person does both the activities each day.
Let us begin by defining variables. Let the time for which a person does homework each day be m minutes. Therefore, the expression for time for which a person does both the activities each day is (m+30) minutes.
Now we need to find the time for which the person does both activities in 5 days. To do so, we need to multiply the time for which the person does both the activities each day by 5.
Hence, the expression for the time for which a person does both activities in 5 days is:5(m+30) minutes.Now let’s consider an example to understand this better.Suppose the time for which a person does homework each day is 60 minutes.
Therefore, the expression for time for which a person does both the activities each day is (60+30) minutes = 90 minutes.
In this case, the time for which the person does both activities in 5 days is:
5(60+30) minutes = 5 x 90 minutes = 450 Minutes Therefore, in 5 days, a person will do both activities for 450 minutes.
The expression to find the minutes for which a person does both activities each day is (m+30) minutes. The expression for the time for which a person does both activities in 5 days is 5(m+30) minutes.
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