it would be better to go to the online store
Suppose y varies inversely with x, and y = 49 when x = 17
. What is the value of x when y = 7 ?
Answer:
119 is the value of x when y = 7
Step-by-step explanation:
Since y varies inversely with x, we can use the following equation to model this:
y = k/x, where
k is the constant of proportionality.Step 1: Find k by plugging in values:
Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality. We can find k by plugging in 49 for y and 17 for x:
Plugging in the values in the inverse variation equation gives us:
49 = k/17
Solve for k by multiplying both sides by 17:
(49 = k / 17) * 17
833 = k
Thus, the constant of proportionality (k) is 833.
Step 2: Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:
Plugging in the values in the inverse variation gives us:
7 = 833/x
Multiplying both sides by x gives us:
(7 = 833/x) * x
7x = 833
Dividing both sides by 7 gives us:
(7x = 833) / 7
x = 119
Thus, 119 is the value of x when y = 7.
2x/3+x/2=5/6
Please solve for x as a fraction!
Answer:
the value of x is 5/7 which is in fraction
Answer: x = 5/7
Step-by-step explanation: 2x/3 + x/2 =5/6
To use a least common denominator, divide LCD by the original denominator and multiply the original numerator by the result.
for 2x/3 6÷3=2 2×2x=4x so that becomes 4x/6
for x/2 6÷2=3 3× (invisible) 1 = 3x, so that becomes 3x/6
combine 4x/6 + 3x/6 = 7x/6
Back to the original equation, substituting the calculated term:
7x/6 = 5/6 Multiply both sides by 6 to simplify (6)(7x/6) = (6)(5/6) 6's "cancel"
7x = 5 . Divide both sides by 7 to solve for x 7x/7 = 5/7
x = 5/7
You dilate a figure with respect to the origin using a scale factor of 4, and then reflect the image in the y-axis. Complete the coordinate notation to show how the coordinates of the original figure are related to the coordinates of the final image after the transformations.
Answer:
Step-by-step explanation:
origin, multiply the coordinates of each vertex by the scale factor k. When k > 1, the dilation is an enlargement. When k > 0 and k < 1, the dilation is a reduction. In a dilation, the original figure and its image are similar.
Pythagorean theorem: word problems 87U
Jayla takes a piece of plywood that is 36 inches long and uses a table saw to make a 39-inch
cut from corner to opposite corner. What was the width of the piece of plywood?
Answer: 15 inches
Step-by-step explanation:
The pythagorean theorem is a^2 + b^2 = c^2
a is one side of the triangle
b is the other side of the triangle
c is the hypotenuse
In our case, a = 36 inches, b is unknown, and c is 39 inches.
If we use the Pythagorean theorem above (a^2 + b^2 = c^2) we get
36^2 + b^2 = 39^2
b^2 = 39^2 - 36^2
b^2 = 225
b = sqrt(225) = 15 inches
Sam is a manager in an office
Answer:
Sorry but this is not really a question so we can't answer it
Which of the following CANNOT be assumed from this image?
Answer:
that he lines are not going strait
Step-by-step explanation:
Can u please help......,,,....
The length of the sides of ΔABC are; AB = 2√5, BC = √13, and AC = √17
The length of the sides of ΔDEF are; DE = 2√5, EF = √13, and DF = √17
By the SSS Congruence Theorem, ΔABC ≅ ΔDEF
How to prove triangle congruency postulate?We are given the coordinates of Triangles ABC and DEF as;
A(5, 3), B(7, 7), C(9, 4)
D(-8, 6), E(-12, 8), F(-9, 10)
The formula for distance between two coordinates is;
Distance = √[(y₂ - y₁)² + (x₂ - x₁)²]
Thus;
AB = √[(7 - 3)² + (7 - 5)²]
AB = √20
AB = 2√5
Similarly;
BC = √[(4 - 7)² + (9 - 7)²]
BC = √13
AC = √[(4 - 3)² + (9 - 5)²]
AC = √17
Likewise;
DE = √[(8 - 6)² + (-12 + 8)²]
DE = √20
DE = 2√5
Similarly;
EF = √[(10 - 8)² + (-9 + 12)²]
EF = √13
DF = √[(10 - 6)² + (-9 + 8)²]
DF = √17
Since the corresponding sides of the two triangles are equal and as such they can be said to congruent by SSS Congruency.
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Given circle A and circle C with radii of 6 cm and 4 cm respectively. E F 140° С 4 cm 6 cm А G 1409 H Compare the length of EF and GH.
Answer:
Length of EF is greater than the length of GH
Length of EF is 14.65 cm
Length of GH is 9.77 cm
Step-by-step explanation:
Someone please helppp
i dont know what the answer is but all i can say is to read it closely and try asking your teacher and\or parents to help you understand
there are 4 trucks for every 5 cars in a parking lot. how many trucks and cars could be in the parking lot? A. 64 trucks and 80 cars B. 72 trucks and 73 cars C. 84 trucks and 100 cars D. 96 trucks and 110 cars
Answer:
Option "A" is the correct answer.
Number of truck and car in parking is 64 , 80
Step-by-step explanation:
Given:
Sample ratio = 4 truck and 5 car
Find:
Number of truck and car in parking
Computation:
Sample ratio = 4 / 5
So,
Option 1
64 truck 80 cars
ratio = 64 / 80
ratio = 4 / 5
Option 2
72 truck 73 cars
ratio = 72 / 73
84 trucks 100 cars
ratio = 84 / 100
ratio = 21 / 25
96 truck 110
ratio = 96 / 110
ratio = 48 / 55
sample ratio match with option 1
So,
Number of truck and car in parking is 64 , 80
what are the implications of an empty row (i.e., one with no check marks or x's) in the roof portion of the house of quality?
Implications of an empty row in the roof portion of the house of quality Customer requirements are potentially not being met by the product.
The house of quality serves as a form of conceptual road map for interfunctional communication and planning. In order to discuss design goals, people with various issues and responsibilities can refer to evidence patterns on the grid of the home.
Quality function deployment is a set of planning and communication procedures that concentrates and organises capabilities inside an organisation in order to first create, then manufacture, and finally sell products that consumers want to buy and will continue to buy. The idea that items should be high-quality is the cornerstone of the house of quality.
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Write and solve an equation to find the value of x.
THEN Using your answer, find the perimeter of the triangle.
Answer:
Perimeter of the triangle is 58
Step-by-step explanation:
create an equation
(x+3)2+(2x-1)2=(x-7)+(4x-8)+(3x+1)
2x+6+4x-2=x-7+4x-8+3x+1
combine like terms
6x+4=8x-14
18=2x
x=9
now we substitute in the expression to find the perimeter
9-7=2
36-8=28
27+1=28
2+28+28=30+28=58
the branch of mathematics that analyses the strategic behavior of decision makers is known as _____
The branch of mathematics that analyses the strategic behavior of decision-makers is known as game theory.
The branch of mathematics that analyzes the strategic behavior of decision-makers is known as Game Theory.
Game theory is the study of the mathematical modeling of social interactions between agents. [1] It has applications in all areas of the social sciences, including logic, systems science, and computer science. It was originally focused on a two-player zero-sum game where each player's win or loss equals the other player's win or loss. In the 21st century, game theory applies to many social relationships; is now the subject of research on decision-making in humans, animals, and computers. The modern theory begins with the idea of a combination of competition in a two-player zero-sum game and its proof by John von Neumann.
Von Neumann's original proof of continuity in a linear system using Brouwer's fixed point theorem has become a standard in game theory and business mathematics. His research was based on the 1944 book Game Theory and Economic Behavior by Oskar Morgenstern, which deals with multiplayer cooperative games. The second edition of this book presents an axiomatic theory of expected utility that enables mathematical statisticians and economists to solve decisions in uncertainty.
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Juliet is standing on the balcony 44 above the ground. She is looking at Romeo at an angle of depression of 6 degrees. if both star-crossed lovers were holding the end of a strong, what would the length of the string be?
Answer:
length of string ≈ 421 units (nearest whole number)
Step-by-step explanation:
Juliet is standing on the balcony 44 above the ground . The angle of depression is 6°. A string was held between Juliet and Romeo.
The illustration forms a right angle triangle. The hypotenuse of the triangle is the length of the string held by both star crossed lovers. The opposite side of the triangle is given as 44. Therefore,
using sin ratio
sin 6° = opposite/hypotenuse
sin 6° = 44/length of string
cross multiply
length of string sin 6° = 44
divide both sides by sin 6°
length of string = 44/sin 6°
length of string = 44/0.10452846326
length of string = 420.937978274
length of string ≈ 421 units(nearest whole number)
Commute times in the U.S are heavily skewed to the right We select random sample of 500 people from the 2000 U.S, Census who reported a non-zero commute time: In this sample the mean commute time is 27.6 minutes with standard deviation of 19.6 minutes: Are researchers able to conclude from this data that the mean commute time in the U.S.is less than half an hour? Conduct a hypothesis test at the 5% level of significance using an online applet (directions) or calculating and using the T-Distribution Calculator above. Based on your hypothesis test; what can we conclude? Nothing: The distribution of the variable in the population is heavily skewcd, s0 the conditions for use of t-model are not met We cannot trust that the p-value accurate for this reason: With mean ol 27.6 minutes, the data supports the clalm that the average commute time Is less than 30 minutes, but the difference is not statistically significant We fail to reject the null hypothesis that the mean commute time in the U.S, in the year 2000 was 30 minutes: With a mean of 27.6 minutes the data supports the claim that the average commute time is significantly less than 30 minutes We reject the null hypothesis that the mean commute time in the U.S.in the year 2000 was 30 minutes
We conclude that the mean commute time in the U.S. is less than half an hour.
We are given that a random sample of 500 people from the 2000 U.S. Census is selected who reported a non-zero commute time.
In this sample the mean commute time is 27.6 minutes with a standard deviation of 19.6 minutes.
Let = mean commute time in the U.S..
So, Null Hypothesis, : \(H_0:\) μ ≥ 30 minutes {means that the mean commute time in the U.S. is more than or equal to half an hour}
Alternate Hypothesis, : \(H_A\): μ < 30 minutes {means that the mean commute time in the U.S. is less than half an hour}
The test statistics that would be used here One-sample t-test statistics as we don't know about population standard deviation;
T.S. = (X -μ)/\({\frac{s}{\sqrt{n} } }\) ~ \(t_n_-_1\)
where, X = sample mean commute time = 27.6 minutes
s = sample standard deviation = 19.6 minutes
n = sample of people from the 2000 U.S. Census = 500
So, the test statistics = (27.6 - 30)/\(\frac{19.6}{\sqrt{500} }\) ~ \(t_4_9_9\)
= -2.738
The value of t test statistic is -2.738.
Also, P-value of test statistics is given by the following formula;
P-value = P( \(t_4_9_9\) < -1.645)
Since, we know that at large sample size, the t distribution follows like normal distribution, that means;
P( \(t_4_9_9\) < -1.645) = P(Z < -1.645) = 1 - P(Z ≤ 1.645)
= 1 - 0.95002 = 0.04998
Now, at 5% significance level the t table gives critical values of -1.645 at 499 degree of freedom for left-tailed test.
Since our test statistic is less than the critical value of t as -2.378 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the mean commute time in the U.S. is less than half an hour.
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A regular octagon has an area of 288 square centimeters and an apothem of 12 cm. what is the length of each side of the octagon?
The length of each side of the octagon is 6 cm
What is an octagon?It is a polygon with eight sides and eight angles. There are a total of 20 diagonals in it. All its interior angles sum up to 1080°.
Given that, a regular octagon has an area of 288 square centimeters and an apothem of 12 cm.
We need to find the side of the octagon,
We know that area of the octagon = 8/2 × side × apothem
Therefore,
288 = 8/2 × side × 12
side = 288 / 48
side = 6
Hence, the length of each side of the octagon is 6 cm
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A simulation is done to represent kicking 5 field goals in a single ga,e with a 72% probability of making each one. A 1 represents the kick and a 0 represents missing the kick
Based on these results estimate the probability that 3 or more kicks are made
please help
The estimated probability that 3 or more kicks are made out of 5 attempts, with a 72% probability of success per kick, is approximately 82.44%.
To estimate the probability that 3 or more kicks are made, we can use the binomial distribution.
Let X be the number of successful kicks in 5 attempts. Then X follows a binomial distribution with parameters n = 5 and p = 0.72.
The probability of making exactly k kicks is given by the binomial probability mass function
\(P(X=k) = (n choose k) * p^k * (1-p)^{n-k}\)
where (n choose k) is the binomial coefficient, which gives the number of ways to choose k successes out of n trials.
To find the probability of making 3 or more kicks, we can sum the probabilities of making 3, 4, or 5 kicks
P(X >= 3) = P(X=3) + P(X=4) + P(X=5)
\(P(X=k) = (n choose k) * p^k * (1-p)^{n-k}\)
P(X=3) = (5 choose 3) * 0.72³ * (1-0.72)⁵⁻³ = 0.2787
P(X=4) = (5 choose 4) * 0.72⁴ * (1-0.72)⁵⁻⁴ = 0.3769
P(X=5) = (5 choose 5) * 0.72⁵ * (1-0.72)⁵⁻⁵ = 0.1688
P(X >= 3) = 0.2787 + 0.3769 + 0.1688 = 0.8244
Therefore, the estimated probability that 3 or more kicks are made is approximately 0.8244, or 82.44%.
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2. Let's pretend I'd give you a penny today, two pennies
tomorrow, four pennies the next day, etc. Write a function
that expresses the amount of money I'd be giving you on
thenth day. Give us your function in the initial post and give us
a little explanation about how it works.
Would you rather have me give you 40 days of this money
scheme or a billion dollars?
HELP!!!! I can’t figure this out
Answer:
\(A.\,\orange{ \bold{ \frac{x - 3}{3x + 1} }}\)
Step-by-step explanation:
\( \frac{x + 2}{ {x}^{2} + 5x + 6 } \div \frac{3x + 1}{ {x}^{2} - 9} \\ \\ = \frac{x + 2}{ {x}^{2} + 3x + 2x+ 6 } \div \frac{3x + 1}{ {x}^{2} - {(3)}^{2} } \\ \\ = \frac{\cancel{x + 2}}{ \cancel{{({x}+ 3)}} \cancel{(x+ 2) }} \times \frac{\cancel{( {x} + 3)}( {x} - {3)}}{3x + 1} \\ \\ = \purple{ \bold{ \frac{x - 3}{3x + 1} }}\)
A number plus its opposite is called the
Property. *
O Additive Inverse
Commutative
Associative
Distributive
Answer:
The answer is the first one - Additive Inverse.
please do them all please
Answer:
7(3 + 3x) = 21x + 21
2d + 10(4d +4 + 2a) = 20a + 42d + 40
3t + 2x + x = 3t + 3x
5(r + 12) - 25 = 5r + 35
18s + 12rs + 10r - 2rs = 10rs + 10r + 18s
s(12 - 4) + 2 = 8s + 2
w(15 - 3) + 2 + 7w = 19w + 2
Step-by-step explanation:
the mean marks for a french test in a class of 30 boys and 20 girls are 60 and 70 respectively. find the mean mark for the whole class.
Step-by-step explanation:
Let, the number of boys be x and number of girls be y.
\begin{gathered}\\Mean \: marks \: of \: boys \\ = \frac{Total \: marks \: of \: boys }{Total \: number \: of \: boys} \\ \\ 70 = \frac{Total \: marks \: of \: boys}{ x } \\ \\ Total \: marks \: of \: boys = 70x \: \: ......(1) \\ \\\\ Mean \: marks \: of \: boys \\ = \frac{Total \: marks \: of \: girls }{Total \: number \: of \: girls} \\ \\ 73 = \frac{Total \: marks \: of \: girls}{y} \\ \\ Total \: marks \: of \: girls = 73y \: \: .....(2) \\\\ \\ Mean \: marks \: of \: entire \: students \\ = \frac{Total \: marks \: of \:students}{Total \: number \: of \: students } \\ \\ Mean \: marks \: of \: entire \: students \\ = \frac{Marks \: of \:boys + Marks \: of \: girls}{ Number \: of \: boys + Number \: of \: girls } \\ \\ from \: eq \: (1) \: and \: (2) \\ \\ 71 = \frac{70x + 73y}{x + y} \\ \\ 71(x + y) = 70x + 73y \\ \\ 71x + 71y = 70x + 73y \\ \\ 71x - 70x = 73y - 71y \\ \\ x = 2y \\ \\ \frac{x}{y} = \frac{2}{1} \\ \\ \frac{Number \: of \: boys}{Number \: of \: girls} = \frac{2}{1} \\ \\\end{gathered}
Meanmarksofboys
=
Totalnumberofboys
Totalmarksofboys
70=
x
Totalmarksofboys
Totalmarksofboys=70x......(1)
Meanmarksofboys
=
Totalnumberofgirls
Totalmarksofgirls
73=
y
Totalmarksofgirls
Totalmarksofgirls=73y.....(2)
Meanmarksofentirestudents
=
Totalnumberofstudents
Totalmarksofstudents
Meanmarksofentirestudents
=
Numberofboys+Numberofgirls
Marksofboys+Marksofgirls
fromeq(1)and(2)
71=
x+y
70x+73y
71(x+y)=70x+73y
71x+71y=70x+73y
71x−70x=73y−71y
x=2y
y
x
=
1
2
Numberofgirls
Numberofboys
=
1
2
3,500x(1+.0125/2)^(2x2)=
3588.3 thats the answer
In 1603, German astronomer Christoph Scheiner began to copy and scale diagrams using an instrument that came to be known as the pantograph. By moving a pencil attached to a linkage, Scheiner was able to produce a second image that was enlarged. Do some brief research on Scheiner’s invention. Describe how the pantograph works and how it is able to produce an enlarged image. You should be using similar triangles to explain why it works.
How does the operation of the pantograph relate to dilations and similarity? How can you use similar triangles to describe why the pantograph works as it does? Write an abbreviated paragraph proof using similar triangles to explain the design. In many instances, the pantograph has been replaced by other means for enlarging images. What has the pantograph been replaced by? Explain
The pantograph, invented by Christoph Scheiner in 1603, is an instrument that allows for the enlargement of images. It works based on the principles of similar triangles, utilizing a linkage system to replicate and scale diagrams.
The pantograph operates on the concept of similar triangles. It consists of a series of linkages connected by joints, with a pencil attached to one linkage and a pointer or stylus attached to another. When the pencil is moved along the original diagram, the linkages and joints replicate the movement onto the second linkage, causing the pointer or stylus to trace a scaled-up version of the original image.
The operation of the pantograph is directly related to dilations and similarity. Dilations involve scaling an object while maintaining its shape. In the case of the pantograph, the image is enlarged while preserving the proportions and shape of the original. This is achieved through the use of similar triangles. By arranging the linkages in a specific manner, the distances and angles between corresponding points on the original and replicated image form similar triangles. As similar triangles have proportional sides, the movement of the pencil is replicated on a larger scale, resulting in an enlarged image.
In modern times, the pantograph has been largely replaced by digital technologies such as scanners, printers, and software applications. These advancements allow for easier and more precise enlargement and replication of images. With the use of digital devices, images can be scanned and edited electronically, eliminating the need for physical linkages and manual scaling. The versatility and efficiency of digital methods make them the preferred choice for enlarging images in contemporary contexts.
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I need the answer for number 8
Answer:
Step-by-step explanation:
I'm going to assume you want it to be a perfect triangle, so then we would have the equation 4x=24. So we can divide each side by 4 to get rid of the 4 and get x by itself. So 24/4= 5. So x=5
How to answer |3x-2|=-5?
Answer:
there is no answer, absolute value always > 0
No links or files. I will have to report answers that contain files. Please provide a short explanation if you can.
Answer:
BCA is half of that of BCD. BCD is ~90 degrees, and BCA is ~45 degrees.
(~ meaning about)
Hope that helps
Please Help!!
Six baseball teams each have a certain amount of money to buy new baseball and bats for the upcoming season. Baseballs cost $6 and bats cost $125. Each inequality represents a teams situation in relation to the number of bats purchased. Order the teams from least to greatest based on the maximum number of baseballs they can purchase.
3. The surface area of the sphere is 30 m2. Find the radius of the sphere.
Answer:
Step-by-step explanation:
The formula for the surface area is A = 4πr². This formula can be solved for r² and then the result solved for the radius, r:
A
r² = -------- The radius of the sphere is as follows:
4π
√(30 m²)
-------------- meters
2√π
1. Suppose a graph passes the
horizontal line test: No horizontal line can be
drawn that touches the graph in more than one location. Does this mean that
the graph represents a function? If not, is there anything special about a graph
that passes the horizontal line test? Share your ideas with a classmate.
2. Dotty and Lionel are making a graph comparing a car's age with its gas
mileage. Dotty says the graph should show discrete points because the car's
age is stated in whole numbers of years. Lionel says they should make a
continuous line because age increases gradually, like time. Which student do
you agree with and why?
3. Write two linear functions, f(x) and g(x). For example, f(x) = 3x - 7 and
g(x) = -2x + 5. Then see whether f(x) - (-g(x)) is equivalent to f(x)+ g(x). Hint:
To find -g(x), just change the signs of all the terms in g(x). Discuss whether
you think your results would apply to every function. Please answer 3
If it passes the horizontal lines test, it is a function.
What is meant by function ?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Use the vertical line test to determine whether an expression is indeed a function; if so, the expression IS one.
In any case, if the graph passes the vertical line test first, indicating that it is a function, and IF then it also passes the horizontal line test, it indicates that it is not only a function but also a one-to-one function, meaning that there is a unique x-coordinate value for every unique y-coordinate value. However, if it passes the horizontal line test, it doesn't mean much functionally. What the heck is up with the horizontal line test anyway?
The inverse expression of a function is only true for one-to-one functions.
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