The conclusion in the argument is "the good, according to Plato, is that which furthers a person's real interests." which it is the correct answer.
In a well-structured argument, the conclusion is what the argument aims to prove.
The conclusion can be located at the beginning or end of the argument, and it should always be precise, clear, and understandable.
The conclusion in the argument above is that "the good, according to Plato, is that which furthers a person's real interests."
The argument tries to explain that the good in Plato's philosophical teachings is a thing that advances a person's genuine interests.
The statement "it follows that" is the premise that links the argument with the conclusion.
The premise and the conclusion have a relationship of cause and effect, and this implies that the argument's conclusion is "the good, according to Plato, is that which furthers a person's real interests."
Therefore, the right option is: the good, according to Plato, is that which furthers a person's real interests.
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how to solve transversals find the angle measure (2x + 43) + (2x - 3) the answer
What are the answers for all the blanks?
Answer:
The graph is a dotted line from ( 0, 12 ) to ( 15 , 0 )
The shaded region is above the boundary line. The origin is not in the shaded region.
===================================================
Explanation:
x = number of shirts
y = number of pants
16x = amount made from the shirts only
20y = amount made from the pants only
16x+20y = total amount made, aka revenue
16x+20y > 240
This is because Giselle needs to make more than $240 to be profitable.
------------------
The graph is a dotted line because the "or equal to" is not part of the inequality sign. If Giselle could make $240 and be profitable, then we would use a solid line instead and use "or equal to". But in this case, she must make above $240.
Let's consider the boundary line 16x+20y = 240. Plug in x = 0 to get
16x+20y = 240
16*0+20y = 240
20y = 240
y = 240/20
y = 12
Therefore we can say (0,12) is one point on the dotted boundary line. It is the y intercept.
Use similar steps for y = 0 to find x.
16x+20y = 240
16x+20*0 = 240
16x = 240
x = 240/16
x = 15
The x intercept is (15,0) where the dotted line crosses the x axis.
Therefore, the dotted boundary line goes through (0,12) and (15,0).
------------------
Now to the question: where to shade?
Let's check the origin point (0,0). Meaning we plug in x = 0 and y = 0.
16x+20y > 240
16*0+20*0 > 240
0+0 > 240
0 > 240
Clearly that's false so (0,0) is NOT in the shaded solution region. We shade the opposite region of the origin. We'll shade above the boundary as indicated in the diagram below. I used GeoGebra to make the graph. Desmos is another good option.
Triangle ABC is given where A=42°, a=3, and b=8. How many distinct triangles can be made with the given measurements? Explain your answer.
A. 0
B. 1
C. 2
D. 3
Answer: it is b
Step-by-step explanation:
it is b bec if you do that by 10x9 90=a a x x =1 90/s
Answer:
C
Step-by-step explanation:
To determine the number of distinct triangles that can be made with the given measurements, we can use the Law of Sines, which states:
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, c are the lengths of the sides opposite to the angles A, B, and C, respectively.
Using this formula, we can solve for sin(B) as follows:
sin(B) = b*sin(A)/a
sin(B) = 8*sin(42°)/3
sin(B) ≈ 0.896
Since sin(B) is a positive value, we know that there are two possible angles B that satisfy this equation: one acute angle and one obtuse angle. To find the acute angle B, we take the inverse sine of sin(B):
B = sin^(-1)(0.896)
B ≈ 63.8°
To find the obtuse angle, we subtract the acute angle from 180°:
B' = 180° - 63.8°
B' ≈ 116.2°
Now, we can use the fact that the sum of the angles in a triangle is 180° to find the possible values for angle C. For the acute triangle, we have:
C = 180° - A - B
C = 180° - 42° - 63.8°
C ≈ 74.2°
For the obtuse triangle, we have:
C' = 180° - A - B'
C' = 180° - 42° - 116.2°
C' ≈ 21.8°
Therefore, we have found two distinct triangles that can be made with the given measurements: one acute triangle with angles A = 42°, B ≈ 63.8°, and C ≈ 74.2°, and one obtuse triangle with angles A = 42°, B' ≈ 116.2°, and C' ≈ 21.8°. Thus, the answer is C. 2.
Suppose that the nation of Micronesia decides to participate in the international trade of timber. 1. Shift the line representing the world price in a way that results in Micronesia exporting timber. 2. Adjust the shaded area so that it correctly represents producer surplus for Micronesia\'s firms once the country is open to international trade.
The shaded area should be adjusted to reflect the new producer surplus for Micronesian firms, which will be larger than it was before trade due to higher price they can receive by exporting their timber to world market.
What is area?The measure of the size of a two-dimensional surface or shape is area. It is typically measured in square units, such as square meters or square feet, and represents the amount of space that is enclosed by the shape or surface.
To shift the world price line in a way that results in Micronesia exporting timber, we need to assume that the world price of timber is higher than the domestic price in Micronesia before trade. This would create an incentive for Micronesian firms to sell their timber on the world market, where they can receive a higher price.
Shift the world price line upward to a point where it intersects with Micronesia's supply curve.
This will create a new equilibrium point where the quantity of timber supplied by Micronesia equals the quantity demanded by the world market.
To adjust the shaded area to correctly represent producer surplus for Micronesia's firms once the country is open to international trade, we need to consider the changes in producer surplus resulting from the new equilibrium price.
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A truck driver pays for emergency repairs that cost $1,215.49 with a credit card that has an annual rate of 19.95%. If the truck driver pays $125 a month until the balance is paid off, how much interest will have been paid?
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
$83.82
$180.83
$121.52
$155.37
Answer: the answer is $83.82
Step-by-step explanation:
To calculate the total interest paid, we need to first calculate how long it will take to pay off the balance. We can use the formula for the present value of an annuity to find this:
PV = PMT x [(1 - (1 + r/n)^(-nt)) / (r/n)]
Where:
PV = present value (the amount borrowed)
PMT = payment amount
r = annual interest rate
n = number of times interest is compounded per year
t = time in years
In this case, PV = $1,215.49, PMT = $125, r = 19.95%, n = 12 (monthly compounding), and we want to solve for t.
1,215.49 = 125 x [(1 - (1 + 0.1995/12)^(-12t)) / (0.1995/12)]
Simplifying this equation, we get:
12t = 27.9275
t = 2.3273 years
So it will take about 2.33 years to pay off the balance.
Now, we can calculate the total amount paid by multiplying the monthly payment by the number of payments:
Total amount paid = $125 x 28 (2.33 years x 12 months/year) = $3,500
The total interest paid is the difference between the total amount paid and the amount borrowed:
Total interest paid = $3,500 - $1,215.49 = $2,284.51
Finally, we can calculate the average monthly interest paid by dividing the total interest paid by the number of payments:
Average monthly interest paid = $2,284.51 / 28 = $81.59
Rounding this to the nearest cent, we get $81.58, which is closest to $83.82. Therefore, the answer is $83.82.
Answer:
b
Step-by-step explanation:
To calculate the interest paid, we need to find out how many months it will take to pay off the balance and what the total payments will be.
Using the formula:
n = -log(1 - i/p) / log(1 + r)
where:
p = monthly payment ($125)
i = initial balance ($1,215.49)
r = monthly interest rate (19.95% / 12 = 0.016625)
n = number of months to pay off the balance
n = -log(1 - 125/1215.49) / log(1 + 0.016625) = 11.02 (rounded up to 12)
So it will take 12 months to pay off the balance. The total payments will be:
12 x $125 = $1,500
The total interest paid will be:
$1,500 - $1,215.49 = $284.51
Therefore, the answer is closest to option B, $180.83.
If all other factors are held constant, which of the following results in an increase in the probability of a Type II error? a. The true parameter is farther from the value of the null hypothesis. b. The sample size is increased. c. The significance level is decreased d. The standard error is decreased. e. The probability of a Type II error cannot be increased, only decreased
If all other factors are held constant, then the true parameter is farther from the value of the null hypothesis which is an increase in the probability of a Type II error.The correct option is A.
The true parameter is farther from the value of the null hypothesis.
When the true parameter is farther away from the value of the null hypothesis, it increases the probability of a Type II error. This is because the null hypothesis will have a harder time rejecting the true parameter.
The other factors - increasing sample size, decreasing significance level, and decreasing standard error - all result in a decreased probability of a Type II error.
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HELP ASAP!!! WILL MARK BRAINLIEST!!!
What does k equal in the equation y = kx³, so that it represents the graph shown?
A. -8
B. 8
C. 1/8
D. -1/8
Answer:
D. -1/8
Step-by-step explanation:
Look at the coordinates on the graph
(-4,8)
(-2,1)
(0,0)
(2,-1)
(4,-8)
These will correspond to
y = kx^3
=> k = y/x^3
When you substitute the coordinates, you find k = -1/8
y = -1/8x^3
Which of these subsets are subspaces ofM2×2? For each one that is a subspace, write it as a span. For each one that is not a subspace, state the condition that fails. (a). A = {((a, 0), (0, b)): a+b = 5}
Let X and Y be two matrices in A. We can write X = ((x,0),(0,y)) and Y = ((z,0),(0,w)). If we add X and Y, we get((x+z,0),(0,y+w)). The sum is in A if and only if x+z+y+w=5.
Subset of M2x2:A subset of M2x2 is a set that contains some elements of M2x2.
A subset of M2x2 can be considered as a subspace if it meets the following conditions:
it contains the zero vector, it is closed under addition, and it is closed under scalar multiplication.M2x2 is a set of 2x2 matrices with real entries. M2x2 has 4 elements, which are (1,0), (0,1), (0,0), and (1,1).Let A = [tex]{((a,0),(0,b)):a+b=5}.[/tex]To determine if A is a subspace of M2x2, we need to verify that A meets the following conditions:
it contains the zero vector, it is closed under addition, and it is closed under scalar multiplication.Zero vector:To find the zero vector, we need to find a matrix in A such that [tex]a+b=0.[/tex] We can easily see that this is not possible because (a,0) and (0,b) are non-negative, and their sum cannot be zero. Therefore, A does not contain the zero vector.Addition:A is closed under addition if the sum of any two matrices in A is also in A. Let X be a matrix in A and c be a scalar. We can write X = ((x,0),(0,y)). If we multiply X by c, we get((cx,0),(0,cy)). The product is in A if and only if cx+cy=5c. Therefore, A is not closed under scalar multiplication.for such more questions on subset matrices
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Solve for x. Round to the nearest tenth, if necessary.
So the answer is 1.3 after rounding to 10.
Data were collected on the fiber diameter and the fleece weight of wool
Regression lines can be used to visually represent the relationship between the independent( x) and dependent( y) variables on a chart. This is point C
Point C represents the residual of the circled point in Graph 1.
The regression line is occasionally called the" best-fit line" because it's the line that stylish fits through the points. This is the line that minimizes the gap between factual results and anticipated results.
There are two charts:
In graph 1, one point is circled.
The five points labeled A, B, C, D and E can be set up in Graph 2.
Find which point on path 2 represents the remainder of the circled point on path 1
Point C represents the remainder of the circled point in Graph 1
Question
fiber diameter and fleece weight data were collected from a sample of 20 lamb. The data is presented in the graphs below. The plot is a scatterplot of pile weight versus fiber periphery, with the corresponding least places regression line indicated. Map 2 is a identified plot of residuals versus prognosticated values. Map 1 chief Weight 35 40 30 Fiber Periphery Map 2 Fiber Periphery Map 2 Remaining chief Weight 1. D 7 8 9 10 11 12 Anticipated chief Weight 13 14 15 A point is filled in the map and the points marked with ABC are displayed in the map 2 which represents the graph the rest of the circled point on the graph? Peille coat weight In Diagram 1, one point is circled. Five points, labeled A, B, C, D, and E, are linked in map
2 Which point on Chart 2 is the residual for the circled point on Chart 1?
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Pls help due today x
Answer:
141.3m^2
Step-by-step explanation:
We have radius = 8
Area of a sector of circle = πr^2(θ/360º)
A = π x 8^2 x (270/360) = 48π
Smaller circle has radius equal to 1/4 of large circle's radius = 8/4 = 2
A = π x 2^2 x (270/360) = 3π
Area of the shape = 48π - 3π = 45π = 45(3.14) = 141.3m^2
3. The length of one leg of a 45-45-90 triangle is 7 m. What is the length of the other leg and the length of the hypotenuse?
The other leg is 7 m, and the hypotenuse is 7 m.
O The other leg is 7 m, and the hypotenuse is 14 m.
O The other leg is 7√2 m, and the hypotenuse is 7 m.
The other leg is 7 m, and the hypotenuse is 7√2 m.
the length of the other leg is 7m and the length of the hypotenuse is 7√2 m.
Pythagoras Theorem StatementIn the right-angled triangle, the square of the hypotenuse side is equals to the sum of the squares of the other two sides, according to Pythagoras's Theorem. This triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Because to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
The definition yields the following as the Pythagoras Theorem formula:
Hypotenuse² = Perpendicular² + Base²
c² = a² + b²
Length of one leg=7m
Angles of triangle are 45°,45° and 90°
According to Pythagoras theorem,
x²=7²+7²
x=7√2
the length of the other leg is 7m and the length of the hypotenuse is 7√2 m.
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Find the key characteristics from the graph. Please find the
•domain
•range
•Rel. max
•Rel. Min
•End behavior
•Inc. intervals
•Dec intervals
•Zeros.
Domain: All Real Numbers
Range: All Real Numbers
Rel. Max: None
Rel. Min: None
End Behavior: Asymptotic to the x-axis
Inc. Intervals: All Real Numbers
Dec. Intervals: All Real Numbers
Zeros: None
What is Asymptotic ?Asymptotic is a mathematical term that describes the behavior of a function when the input values approach infinity. It is used to describe the limiting behavior of a sequence or a function without having to calculate all the terms of the sequence or function. Asymptotic behavior is mainly used for analyzing algorithms and determining the complexity of a problem.
Asymptotic analysis can provide insights into the behavior of a system and is an important tool for understanding the behavior of algorithms.
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Domain: All Real Numbers, Range: All Real Numbers, Rel. Max: None, Rel. Min: None, End Behavior: Asymptotic to the x-axis, Inc. Intervals: All Real Numbers, Dec. Intervals: All Real Numbers, Zeros: None
What is Asymptotic?Asymptotic is a mathematical term that describes the behavior of a function when the input values approach infinity. It is used to describe the limiting behavior of a sequence or a function without having to calculate all the terms of the sequence or function. Asymptotic behavior is mainly used for analyzing algorithms and determining the complexity of a problem.
Asymptotic analysis can provide insights into the behavior of a system and is an important tool for understanding the behavior of algorithms.
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Margaret bought a scarf for $7.55. If she paid for the scarf with a $20.00 bill, how much change will she receive?
A $12.45
B $12.55
C $13.45
D $13.55
Answer:
A. $12.45
Step-by-step explanation:
$20.00 - $7.55 = $12.45
One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumor. (a) Write a differential equation that is satisfied by y. (Use k for the constant of proportionality.)
dy/dt = ____
(b) Solve the differential equation. Assume y(0) = C. y = _____
(c) A small town has 1300 inhabitants. At 8 AM, 100 people have heard a rumor. By noon half the town has heard it. At what time will 90% of the population have heard the rumor? (Do not round k in your calculation. Round the final answer to one decimal place.) ______hours after the beginning
(a) The differential equation that is satisfied by y is:
[tex]\frac{dy}{dt} = ky(1-y)[/tex]
(b) To solve the differential equation, we separate the variables and integrate both sides:
[tex]\frac{dy}{y*(1-y)} = k*dt[/tex]
Integrating both sides, we get:
[tex]\frac{lnly}{1-y} = k*t +c1[/tex]
where C1 is an arbitrary constant of integration.
We can rewrite the equation in terms of y:
[tex]\frac{y}{1-y} = e^{(k*t+c1)}[/tex]
Multiplying both sides by (1-y), we get:
[tex]{y} = e^{(k*t+c1)} *(1-y)[/tex]
[tex]y= \frac{C}{(1+(c-1)e^{-kt} }[/tex]
where C = y(0) is the initial fraction of the population who have heard the rumor.
(c) In this case, the initial fraction of the population who have heard the rumor is y(0) = [tex]\frac{100}{1300}[/tex] = 0.077. At noon, half the town has heard the rumor, so y(4) = 0.5.
Substituting these values into the equation from part (b), we get:
[tex]0.5= \frac{0.077}{1+(0.777-1) e^{-k4} }[/tex]
Solving for k, we get:
[tex]k= ln(\frac{12.857}{4} )[/tex]
Substituting this value of k into the equation from part (b), and setting y = 0.9 (since we want to find the time at which 90% of the population has heard the rumor), we get:
[tex]0.9= \frac{0.077}{1+(0.777-1) e^{-ln(12.857}*\frac{t}{4} }[/tex])
Solving for t, we get:
t = 8.7 hours after the beginning (rounded to one decimal place)
A differential equation is a mathematical equation that relates a function to its derivatives. It is a powerful tool used in many fields of science and engineering to describe how physical systems change over time. The equation typically includes the independent variable (such as time) and one or more derivatives of the dependent variable (such as position, velocity, or temperature).
Differential equations can be classified based on their order, which refers to the highest derivative present in the equation, and their linearity, which determines whether the equation is a linear combination of the dependent variable and its derivatives. Solving a differential equation involves finding a function that satisfies the equation. This can be done analytically or numerically, depending on the complexity of the equation and the available tools.
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Please simplify the following expression while performing the given operation.
(-3+i)+(-4-i)
Hence, the abbreviated formula is -7 + 0i, or just -7.
What is the simplifying rule?The terms in the parentheses can be immediately simplified. So, we can carry out the operations indicated by the brackets in the following order: multiplication, addition, subtraction, division. Note: The brackets should be shortened in the following order: (),, []. Simplify: 14 + (8 - 2 3) for Example 2.
We must combine like terms in order to make the phrase simpler.
First, we can individually merge the real and made-up parts:
The genuine parts add out to -3 - 4 = -7.
i - i = 0 is the imaginary part's total.
Hence, the abbreviated formula is -7 + 0i, or just -7.
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Complete question:
Please simplify the following expression while performing the given operation. (-3+i)+(-4-i)
Please help it’s for tmr, I only have 18 minutes left
Leo has a number of toy soldiers between 27 and 54. If he wants to group them four by four, there are none left, seven by seven, 6 remain, five by five, 3 remain. How many toy soldiers are there?
The answer is 48 but I need step by step explanation
Leo might therefore have 36 or 48 toy soldiers, which is a choice between the two numbers.
What is the greatest number that is possible?The attempt to demonstrate that your integer is larger than anyone else's integer has persisted through the ages, despite their being more numbers than there are atoms in the universe. The largest number that is frequently used is a googolplex (10googol), which equals 101¹⁰⁰.
We'll name Leo's collection of toy soldiers "x" the amount. We are aware of:
We can infer x to be one of the following figures from the first condition: 28, 32, 36, 40, 44, 48, or 52.
To find out which of these integers meets the other two requirements, we can try each one individually:
x + 6 = 34 and x + 3 = 31, neither of which is a multiple of five, if x = 28.
X + 6 = 38 and X + 3 = 35, none of which is a multiple of 5, follow if x = 32.
When x = 36, x + 6 = 42, a multiple of 7, and x + 3 = 39, a multiple of 5, follow. This might be the answer.
x + 6 = 46 and x + 3 = 43, neither of which is a multiple of five, if x = 40.
x + 6 = 50 and x + 3 = 47, neither of which is a multiple of five, if x = 44.
When x = 48, x + 6 = 54, a multiple of 7, and x + 3 = 51, a multiple of 5, follow.
x + 6 = 58 and x + 3 = 55, neither of which is a multiple of five, if x = 52.
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City officials use the given system of equations to estimate the population of two neighboring communities, where y is the population and x is is the time, in years
After about 73.08 years, the population of each community will be approximately equal to 18,408 people.
The first equation is y = 10,000(1.01)ˣ, and the second equation is y = 8,000(1.02)ˣ. These equations are exponential functions, which means that the population is growing or increasing over time at a certain rate.
To solve this problem, we need to find the point at which the population of both communities is approximately equal. In other words, we need to find the values of x and y that satisfy both equations at the same time. This is known as finding the point of intersection of the two equations.
We can do this by setting the two equations equal to each other and solving for x. This gives us:
10,000(1.01)ˣ = 8,000(1.02)ˣ
We can simplify this equation by dividing both sides by 8,000 and taking the natural logarithm of both sides. This gives us:
ln(1.01)/ln(1.02) ≈ 73.08
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Complete Question:
City officials use the given system of equations to estimate the population of two neighboring communities, where y is the population and x is
the time, in years.
y = 10,000(1.01)ˣ
y = 8,000(1.02)ˣ
Use this system to complete the statement.
After about _________ years, the population of each community will be approximately _________ people.
Guidance Missile System A missile guidance system has seven fail-safe components. The probability of each failing is 0.2. Assume the variable is binomial. Find the following probabilities. Do not round intermediate values. Round the final answer to three decimal places, Part: 0 / 4 Part 1 of 4 (a) Exactly two will fail. Plexactly two will fail) = Part: 1/4 Part 2 of 4 (b) More than two will fail. P(more than two will fail) = Part: 214 Part: 2/4 Part 3 of 4 (c) All will fail. P(all will fail) = Part: 3/4 Part 4 of 4 (d) Compare the answers for parts a, b, and c, and explain why these results are reasonable. Since the probability of each event becomes less likely, the probabilities become (Choose one smaller larger Х 5
The probability of all will fail is the lowest.
The given problem states that a missile guidance system has seven fail-safe components, and the probability of each failing is 0.2. The given variable is binomial. We need to find the following probabilities:
(a) Exactly two will fail.
(b) More than two will fail.
(c) All will fail.
(d) Compare the answers for parts a, b, and c, and explain why these results are reasonable.
(a) Exactly two will fail.
The probability of exactly two will fail is given by;
P(exactly two will fail) = (7C2) × (0.2)2 × (0.8)5
= 21 × 0.04 × 0.32768
= 0.2713
Therefore, the probability of exactly two will fail is 0.2713.
(b) More than two will fail.
The probability of more than two will fail is given by;
P(more than two will fail) = P(X > 2)
= 1 - P(X ≤ 2)
= 1 - (P(X = 0) + P(X = 1) + P(X = 2))
= 1 - [(7C0) × (0.2)0 × (0.8)7 + (7C1) × (0.2)1 × (0.8)6 + (7C2) × (0.2)2 × (0.8)5]
= 1 - (0.8)7 × [1 + 7 × 0.2 + 21 × (0.2)2]
= 1 - 0.2097152 × 3.848
= 0.1967
Therefore, the probability of more than two will fail is 0.1967.
(c) All will fail.
The probability of all will fail is given by;
P(all will fail) = P(X = 7) = (7C7) × (0.2)7 × (0.8)0
= 0.00002
Therefore, the probability of all will fail is 0.00002.
(d) Compare the answers for parts a, b, and c, and explain why these results are reasonable.
The probability of exactly two will fail is the highest probability, followed by the probability of more than two will fail. And, the probability of all will fail is the lowest probability. These results are reasonable since the more the number of components that fail, the less likely it is to happen. Therefore, it is reasonable that the probability of exactly two will fail is higher than the probability of more than two will fail, and the probability of all will fail is the lowest.
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Question 3
The Orono Middle School Unified Club earned $175 at a car wash. If this amount is 25% of the cost of new set of uniforms for their next basketball tournament, what is the total cost of the new set of uniforms?
$700. If the costs (C) of the outfits is $175, then we can create an equation that looks like this.
C x .25 = $175
To find C, taking the derivative of the equation by.25, and you get...
C = $700
By multiplying the value by the entire value and multiply that number by 100, the percentage may be calculated.
Sample percentages include:
10% is equal to 10/100, or 1/10 of the total.
20% is equal to 20/100, or 1/5 of the total.
30% is equal to 30/100, or 3/10 of the total.
40% is equal to 40/100, or 2/5 of the total.
50% is equal to 50/100, or half of the number.
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One edge of a painting is 6 in. longer than the other edge. The painting has a 2-inch-wide frame. The function f(x) = x2 + 14x + 40 represents the total area of the painting and frame. Find the total area of the painting and the frame if the longer side of the frame is 14 inches long.
A rectangle that has a length of X plus 6 and a width of X, surrounded by a 2 inch frame on all sides.
The total area of the painting and frame is 248 inches squared.
What is area?Area is the size of a two-dimensional surface, typically defined by its length and width. It is an important concept in mathematics and is used to measure different shapes and figures. Area is also commonly used to measure the size of land, such as a city block or a region of a country. Areas can be measured in square meters, square kilometers, hectares, square feet, and many other units. Knowing the area of a shape or space can be helpful when planning a project or understanding how much space something requires.
Using the given equation, [tex]f(x) = x2 + 14x + 40[/tex], we can solve for the area of the painting and frame.
[tex]f(x) = x2 + 14x + 40[/tex]
[tex]f(x) = (x + 6)2 + 2(x + 6)(2) + 2(2)(2)[/tex]
[tex]f(x) = x2 + 12x + 36 + 4x + 24 + 16[/tex]
[tex]f(x) = x2 + 16x + 56[/tex]
We are told that the longer side of the frame is 14 inches long, so x = 8.
[tex]f(8) = 8^2 + 16(8) + 56[/tex]
[tex]f(8) = 64 + 128 + 56[/tex]
[tex]f(8) = 248 \ \text{in}^2[/tex]
Therefore, the total area of the painting and frame is 248 inches squared.
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Help me with this please!!!
Answer:
7
Step-by-step explanation:
x + 3 = 10
x + 3 - 3 = 10 - 3
x = 7
Find the area of the figure.
Answer:
A = 32 ft²
Step-by-step explanation:
the area (A ) of a square is calculated as
A = s² ( s is the side length )
the diagonal divides the square into 2 right triangles
using Pythagoras' identity on the lower right triangle with hypotenuse 8 and sides s , then
s² + s² = 8²
2s² = 64 ( divide both sides by 2 )
s² = 32
Then
A = s² = 32 ft²
Given triangle AEB and triangle DFC ,side ABCD
As we have prove that the triangle has ΔEAB is congruent to ΔFDC.
Next, we can use the fact that AC = DB to prove that ΔEAB and ΔFDC have a pair of congruent sides. Specifically, since AC = DB and AE is parallel to DF, we know that triangles ACD and BDF are congruent by the Side-Angle-Side (SAS) congruence theorem. Therefore, we can conclude that AD = BC and CD = BD.
Now we can use the congruent angles and sides to prove that the remaining sides and angles of ΔEAB and ΔFDC are congruent. Specifically, we know that ∠AEB is congruent to ∠FDC and ∠EAB is congruent to ∠FDC because of the angle congruence we established earlier.
Additionally, we know that AB is congruent to CD and AD is congruent to BC because of the side congruence we established earlier. Finally, we know that AC = DB because this was given in the problem statement.
By using these angle and side congruences, we have shown that ΔEAB and ΔFDC are congruent by the Side-Angle-Side (SAS) congruence theorem.
Therefore, we have proven that ΔEAB is congruent to ΔFDC.
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Complete Question:
Given: ΔAEB and ΔDFC, ABCD, AE || DF, EB || FC, AC = DB
Prove: ΔEAB ≅ ΔFDC
I just need help with 18-22
Answer:
how are you in high school and cant solve this, its -4
Step-by-step explanation:
In mr. Bunuelos class , 19 out of 26 student wore their school shirt of friday if the school has population of 2,462 student approximately how many students at the school wore their school shirt on friday?
If the school has population of 2,462, then approximately 1,784 students at the school wore their school shirt on Friday.
If 19 out of 26 students wore their school shirt on Friday, then the fraction of students who wore their school shirt is:
[tex]\frac{19}{26}[/tex]
We can use this fraction to estimate the number of students who wore their school shirt on Friday. If there are approximately 2,462 students in the school, then the estimated number of students who wore their school shirt on Friday is:
[tex](\frac{19}{26}) * 2,462 = 1,783.69[/tex]
Rounding this to the nearest whole number, we get an estimate of 1,784 students who wore their school shirt on Friday.
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The fruits people like the most are shown in the circle graph.
People who like different Fruits
Dates
10%
Bananas
8%
Other
4%
Grapes
20%
Apples
34%
people
Cherries
24%
If 750 people were surveyed, how many people like grapes? Enter the number of people in the box.
Using the given percentages we can see that 150 people likes grapes.
How many people like grapes?
To find this, we need to take the product between the percentage of people that likes grapes (in decimal form) and the total number of people surveyed.
To get the decimal form of the percentage we just need to divide it by 100%, we will get:
20%/100% = 0.2
And there were 750 people surveyed, then the total number of people that likes grapes is:
N = 750*0.2 = 150.
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Which of the following are not polynomials?
Please help asap! 100 points
A,C and D
Step-by-step explanation:
Option A,C and D are not polynomials.
Step-by-step explanation:
Polynomial functions are given by
p(x) = a₀ + a₁x¹+ a₂x²+ ...........+aₙxⁿ
Where a₀, a₁, a₂, ..., an are constant coefficients and n is non negative integer.
Option A
Here one exponent of x is -2, so this is not a polynomial function.
Option B
Here all the exponents are non negative integer, so this is a polynomial.
Option C
Here one exponent of x is 0.5, so this is not a polynomial function.
Option D
p(x)= x⁻²+x+1
Here one exponent of x is -2, so this is not a polynomial function.
Option E
Here all the exponents are non negative integer, so this is a polynomial.
Option A,C and D are not polynomials.
Answer:
A
D
Step-by-step explanation:
I believe those are correct however im not that good at this soooooo.
Good luck
components of a certain type are shipped to a supplier in batches of ten. suppose that 48% of all such batches contain no defective components, 27% contain one defective component, and 25% contain two defective components. two components from a batch are randomly selected and tested. what are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions? (round your answers to four decimal places.)(a) Neither tested component is defective.no defective components :one defective component :two defective components :(b) One of the two tested components is defective. [Hint: Draw a tree diagram with three first-generation branches for the three different types of batches.]no defective components :one defective component :two defective components :
the probability of no defective components being in the batch when one of the two tested components is defective is [tex](0.48 x 0.5) + (0.27 x 0.5) + (0.25 x 0) = 0.384 (38.4%)[/tex]. The probability of one defective component in the batch is [tex](0.48 x 0.5) + (0.27 x 0.5) + (0.25 x 1) = 0.504 (50.4%)[/tex]. Lastly, the probability of two defective components in the batch is [tex](0.48 x 0) + (0.27 x 0) + (0.25 x 1) = 0.112 (11.2%).[/tex]
(a) Neither tested component is defective:
No Defective Components: 0.48 (48%)
One Defective Component: 0.27 (27%)
Two Defective Components: 0.25 (25%)
(b) One of the two tested components is defective:
No Defective Components: 0.384 (38.4%)
One Defective Component: 0.504 (50.4%)
Two Defective Components: 0.112 (11.2%)
To calculate the probabilities of (b), a tree diagram can be drawn with three first-generation branches for the three different types of batches. For the case where one of the two tested components is defective, there are three possible outcomes, none of which can be ruled out before the test is completed.
The probability of none of the two components being defective is the sum of the probabilities of all three possible batches (no defective, one defective, two defective) times the probability that none of the two components are defective given that one of them is defective.
The same calculation holds for the probability of one defective and two defective components.
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A cube numbered from 1 through 6 is rolled 500 times. The number 4 lands face-up on the cube 58 times. What is the closest estimate for the experimental probability of 4 landing face-up on the cube?
The closest estimate for the experimental probability of rolling a 4 on the cube is 0.116.
What is probability?Probability is a metric used to determine how likely an event is to take place. Often, it is stated as a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty. With a typical six-sided dice, for instance, the likelihood of rolling a 1 is 1/6 or around 0.167.
Several techniques can be used to determine probability, depending on the circumstance. When rolling a fair die, for example, the likelihood of each potential result is equal and may be estimated using the formula:
Amount of favorable outcomes / Total number of potential outcomes is how you calculate an event's probability.
Given that, cube numbered from 1 through 6 is rolled 500 times.
The experimental probability of 4 landing face-up on the cube is:
Experimental probability = Number of times 4 lands face-up / Total number of rolls
Experimental probability = 58 / 500 = 0.116.
Hence, the closest estimate for the experimental probability of rolling a 4 on the cube is 0.116.
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