What is the perimeter of the triangle?
units
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Perimeter of a triangle = Sum of all sides of triangle
The unit of perimeter of a triangle is same as length of its sides
such as length of a side is 4cm then perimeter of the triangle will also be in cm .Can you guys tell me what I did wrong
The circumference of the circle actually is 25.12 inches
What did you wrong?So the diameter is 8 inches, and the circumference is pi times the diameter, so you must have:
c = 3.14*8in = 25.12 inches
That is the circumference of the circle, im not sure of what did you did to ger 43.96 inches.
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Given h(x) = 4x – 4, find h(-3).
Answer:
h(-3)=-16
Step-by-step explanation:
here is the given function: h(x)=4x-4
h(-3) means to substitute the x in the function as -3
h(-3)=4(-3)-4
multiply
h(-3)=-12-4
combine
h(-3)=-16
so that means that h(-3)=-16
Hope this helps!
vectors x and y have magnitudes 5 and 4 units. the dot product of these vectors is equal 20 units. we may conclude that
The dot product of vectors x and y with magnitudes 5 and 4 units, respectively, is 20 units, indicating that they are parallel to each other and in the same direction.
From the given information, we know that the magnitudes of vectors x and y are 5 and 4 units, respectively, and their dot product is 20 units.
To find the angle between vectors x and y, we can use the formula:
cos(theta) = (x.y) / (|x| * |y|)
Substituting the given values, we get:
cos(theta) = 20 / (5 * 4)
cos(theta) = 1
This implies that the angle between vectors x and y is 0 degrees, which means that they are parallel to each other.
Thus, we can conclude that vectors x and y are parallel and in the same direction.
Given the magnitudes of vectors x and y and their dot product, we can determine their relationship and direction. The dot product is the product of their magnitudes and the cosine of the angle between them. Using this formula, we found that the angle between vectors x and y is 0 degrees, indicating that they are parallel to each other. Therefore, we can conclude that vectors x and y are parallel and in the same direction. This information can be useful in various mathematical and physical applications, such as determining the force required to move an object in a particular direction.
In conclusion, the dot product of vectors x and y with magnitudes 5 and 4 units, respectively, is 20 units, indicating that they are parallel to each other and in the same direction. This information can be useful in various mathematical and physical applications.
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Write the sum of first n natural numbers.
The sum of the first n natural number = n * (n+1) / 2, for n a natural number.
For example, you want to calculate the sum and average of any five numbers entered by the user. i.e., If you want to calculate the sum and average or percentage of multiple user-entered numbers, then please refer to the following program.
Does every rational function have a vertical asymptote?.
Yes, every rational function has a vertical asymptote.
A rational function is defined as a fraction of two polynomials such as P(x)/Q(x) where Q(x) ≠ 0.
A vertical asymptote is a vertical line that the graph of a function approaches but never touches.
It happens when the denominator of a rational function Q(x) = 0, so the fraction becomes undefined.
Therefore, the denominator of a rational function becomes zero at some point or several points in its domain, which results in a vertical asymptote.
For example, consider the following rational function f(x) = (3x² - 5x + 2)/(x - 1)(x + 2)
The denominator (x - 1)(x + 2) becomes zero when x = 1 or x = -2, so the rational function has two vertical asymptotes at x = 1 and x = -2.
Therefore, it can be concluded that every rational function has a vertical asymptote.
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2. A(an) ______________of a prism is a perpendicular segment that joins the planes of the bases. (The height h is the length of one.)
Answer:
A(an) altitude of a prism is a perpendicular segment that joins the planes of the bases. (The height h is the length of one.)
Step-by-step explanation:
AN ALTITUDE - An altitude of a triangle is a line segment that passes through a vertex and is perpendicular to (i.e. forms a right angle with) the base line (the side opposite the vertex). The expanded base of the altitude is the line that contains the opposing side. The foot of the altitude is the point where the extended base meets the altitude. The area of a triangle can be calculated using altitudes: one half of the product of an altitude's length and its base's length equals the triangle's area. As a result, the longest altitude is perpendicular to the triangle's shortest side. Through trigonometric functions, the heights are also connected to the triangle's sides.
Hence , the answer is an altitude .
In finance, we need to do partial observations of data and estimate the data generating process (DGP) -- for example, log-normal returns. Sometimes, we can observe only the data points of a certain process, but we don't know what is the function generating the process. Consider the following graph is a plot of the f ′
(x), of a function f(x) given. What is the underlaying function ( f(x −
i)) that is the generator of the observed points in the plot f ′
(x −
i), for points x −
1=−1,x −
2=−0.9,…,x −
n=1?
The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.
The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.
To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.
Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.
The constant of integration arises because integration does not provide a unique solution.
The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.
To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.
It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.
Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.
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What's the temperature? The temperature in a certain location was recorded each day for two months. The mean temperature was 76.4 ∘
F with a standard deviation 7.3 ∘
F. What can you determine about these data by using Chebyshev's Inequality with K=3 ? At least % of the days had temperatures between "F and
By using Chebyshev's Inequality with K=3, we can determine that at least 88.89% of the days had temperatures between "F and "F, where "F represents the mean temperature of 76.4°F.
Chebyshev's Inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. In this case, K=3 means that we are considering a range of three standard deviations from the mean.
The inequality states that for any dataset, the proportion of data falling within K standard deviations of the mean is at least 1 - (1/K^2). So, for K=3, we have 1 - (1/3^2) = 1 - (1/9) = 8/9 ≈ 0.8889. Therefore, at least 88.89% of the data falls within three standard deviations of the mean.
In the context of the temperature data, we can conclude that at least 88.89% of the days had temperatures between the mean temperature of 76.4°F minus three standard deviations (76.4 - 3 * 7.3) and the mean temperature plus three standard deviations (76.4 + 3 * 7.3). This range represents a relatively high proportion of the dataset, indicating that the temperature observations are fairly concentrated around the mean with limited extreme values.
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a red ribbon spool has 22,608 inches of ribbon and a blue ribbon spool has 10,206 inches of ribbon. the ribbons on both spools are to be divided into pieces of the same length so that the pieces are as long as possible. what is the length of each piece? (provide an integer value without any units).
The required length of each piece is 18 inches.
How to find HCF?
The highest common factor (HCF) is found by listing all the common factors of two numbers and choosing the highest one. The required length of each piece is 18 inches.
Given that,
Length of red ribbon spool = 22,608 in
Length of blue ribbon spool = 10,206
To find the required length of each piece we should find the highest common factor (HCF) of the length of a piece of both ribbons.
22, 608 = 1,2,3,4,5,6,8,9,12,16,18,24,36,48,72 .....
10,206 = 1,2,3,6,7,9,14,18,21,27,42,54,63 .......
Common factors are 1,2,3,6,9,18
Therefore, HCF = 18
Hence, the required length of each piece is 18 inches.
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cylinder has a base diameter of 6m and a height of 12m. What is its volume in cubic m, to the nearest tenths place
Answer:
339.3m²
Step-by-step explanation:
Formula is volume= X radius² X height
First find radius, which is 1/2 of the diameter. 6/2= 3 is the radius
Then set up the equation: ()(3²)(12)
Put into calculator to get 339.3 (rounded to the tenths)
The volume of the cylinder will be 339.12 cubic meters.
What is the volume of a right circular cylinder?Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,
V = π r²h cubic units
The cylinder has a base diameter of 6 m and a height of 12 m. Then the radius of the cylinder is calculated as,
r = d / 2
r = 6 / 2
r = 3 m
Then the volume of the cylinder is calculated as,
V = 3.14 x 3² x 12
V = 339.12 cubic meters
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Nhan is getting dressed. He considers two different shirts, three pairs of pants, and three pairs of shoes. He chooses one of each of the articles at random. What is the probability that he will wear his khakis but not his sandals? Enter your answer as a fraction in simplest form. Shirt Pants Shoes collared khakis sneakers T-shirt jeans flip-flops shorts sandals The probability that Nhan will wear his khakis but not his sandals = .
The probability that Nhan will wear his shirt is 0.375.
How to calculate the probability?From the information, Nhan considers two different shirts, three pairs of pants, and three pairs of shoes.
The total number will be:
= 2 + 3 + 3
= 8
Therefore, since we want to calculate the probability of the shirt which is the khaki, this will be:
= P(shirt) / Total number
= 3/8
= 0.375
There, the probability is 0.375.
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Convert 8 cubic meters into liters.
Answer:
8000 is the right answer 100%
The graph represents this system of equations. A system of equations. y equals 2 x minus 4. y equals 1 minus 3 x. A coordinate grid with 2 lines. The first line passes through (0, 1) and (1, negative 2). The second line passes through (0, 1) and (1, negative 2). What is the solution to the system of equations? (–4, 1) (–2, 1) (1, –4) (1, –2)
Answer:
(1,-2)
Step-by-step explanation
y = -3x + 1
y = 2x - 4
-3x + 1 = 2x - 4
-5x + 1 = -4
-5x = -5
x = 1
y= 2(1) - 4
y = 2 - 4
y = -2
(1,-2)
Answer:
1/2
Step-by-step explanation:
Decide if this statement is valid or invalid.
Every high school student likes art.
Ling likes art. Therefore Ling
is a high school student.
Valid
Invalid
The statement is invalid.
What is Euler's diagram?Euler's diagram, also known as an Euler-Venn diagram, is a graphical representation used to illustrate relationships between sets or groups of objects or concepts.
The statement is invalid. The initial premise "Every high school student likes art" is a generalization and assumes that all high school students like art. However, this does not mean that every individual who likes art must be a high school student. There are people from various age groups and educational backgrounds who can have an interest in art.
Therefore, liking art alone does not imply that Ling must be a high school student.
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What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)?
Answer:
Step-by-step explanation:
(8-0)/(2+2)= 8/4= 2
y - 0 = 2(x + 2)
y = 2x + 4
This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellite is placed in orbit. What is the volume of the nose cone?
The volume of the nose cone of height 15 feet is 84.78 ft³.
What is volume?Volume is defined as the space occupied within the boundaries of any three-dimensional solid.
To calculate the volume of the nose cone, we use the formula below.
Formula:
V = πr²h/3................. Equation 1Where:
V = Volume of the nose coner = Radius of the nose coneh = Height of the nose coneFrom the question,
Given:
r = 6/2 = 3 feeth = 15 feetπ = 3.14Substitute these values into equation 1
V = 3.14×3²×15/3V = 84.78 ft³Hence, the volume of the nose cone is 84.78 ft³.
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Which of the following statements contain a variable? Check all that apply.
A. Eighty miles per hour.
B. The number of different colors on the page.
C. Half the speed of the car.
D. They scored 27 points.
SUBMIT
Simplify (3^-2)^4
A: 3^8
B: 1/3^2
C: 1/3^8
D: 3^2
A small box is enlarged to form a larger similar box. The small box has height 3. The large box has height of 9. If the volume of the smaller box is 60 cubic units, which expression will calculate the volume of the larger box?
Answer:
V = 60*27 or 1620 cubic units-----------------------
The ratio of the corresponding sides is the scale factor of similar figures.
The scale factor in our case is:
k = 9/3 = 3The volume is the product of three dimensions, hence the ratio of volumes of similar shapes is the cube of the scale factor.
Therefore, to find the volume of the larger box we need to multiply the volume of the smaller box by k³ = 3³ = 27.
The expression is:
V = 60*27The volume is:
V = 1620 cubic unitsAriana has a points card for a movie theater.
She receives 25 rewards points just for signing up.
She earns 8.5 points for each visit to the movie theater.
She needs 76 points for a free movie ticket.
Write and solve an equation which can be used to determine vv, the number of visits Ariana must make to earn a free movie ticket.
Answer:
6
Step-by-step explanation:
In the first step I simply took 25 away from 76, as she already has 25 tickets meaning she needs 51 more.
than I divided 51 by 8, which would tell us the number of visits she needs to make
white shapes and black shapes are used in a game. some of the shapes are circles, some of the shapes are squares.the ratio of the number of white shapes to the number of black shapes is 7:3. the ratio of the number of white circles to white squares is 2:7. the ratio of the number of black circles to black squares is 1:2. work out the fraction of all the shapes are circles. give your answer as a fraction in its simplest form
The fraction computed shows that 9/32 of the shapes are circles.
How to calculate the informationFind the equivalent ratio for the total shapes:
Total Black Shapes : Total White Shapes = 5 : 11
Multiply by 2:
Total Black Shapes: Total White Shapes = 10 : 22
Find the ratio for the white shapes:
White circles : White squares = 3 : 7
Sum of the units = 3 + 7
Sum of the units = 10
Find the equivalent ratio for the total shapes:
Black circles : Black squares = 3 : 8
Multiply by 2:
Black circles : Black squares = 6 : 16
Sum of the units = 6 + 16
Sum of the units = 22
Combine the ratios:
white circles : white squares : black circles : black square = 3 : 7 : 6 : 16
Circles = 3 + 6
Circles = 9 units
Total = 3 + 7 + 6 + 16
Total = 32 units
Find the fraction of all the shapes that are circles:
Fraction = 9/32
Therefore, 9/32 of the shapes are circles
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PLEASE HELP THANK U!
Answer:
the fist one
Step-by-step explanation:
Hope it helps
Find the general solution of the differential equation y"-9y'+20y=0
Given differential equation is y"-9y'+20y=0We can write this equation asy²-9y+20y=0Here, a = 1, b = -9, and c = 20Now, we have to find the roots of this equation.
Now, let us find the value of the discriminant. b²-4ac= (-9)²-4(1)(20)= 81-80= 1Since the value of the discriminant is greater than zero, therefore, we have two real and distinct roots for this equation.Roots are given by the quadratic formula.x= (-b±√(b²-4ac))/2aOn substituting the values of a, b, and c we get,x = (9±√1)/2Now,x1= 5x2= 4/1These roots give two linearly independent solutions as follows: y1=e^5t and y2=e^4tTherefore, the general solution to the differential equation is:y=c1e^5t+c2e^4tWhere c1 and c2 are constants.
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The given differential equation is y"-9y'+20y=0.
Let us use the characteristic equation to solve this differential equation.
The characteristic equation of y"-9y'+20y=0 isr² - 9r + 20 = 0.
Solve for r by factoring the characteristic equation(r - 5)(r - 4) = 0.
Therefore, r = 5 and r = 4.
Thus, the general solution of the differential equation y"-9y'+20y=0 isy(x) = c₁e⁴x + c₂e⁵x
where c₁, c₂ are constants.
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A fair 6-sided die is rolled 300 times. What is a reasonable prediction for the number of times the event of landing on an odd number will occur?
A. 150
B. 50
C. 175
D. 100
Answer:
A. 150
Step-by-step explanation:
Calculate the probability of landing on an odd number: 1/2.
Multiply the probability by the number of trials: (1/2) * 300.
Simplify the expression: 150.
Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.
What is the length of AC?
Answer:
b
Step-by-step explanation:
Answer:
136
Step-by-step explanation:
triangles CAB and CED are similar, their sides are proportional
set up a proportion:
\(\frac{51}{144-x}\) = \(\frac{3}{x}\)
cross-multiply: 51x = 3(144 - x)
51x = 432 - 3x
54x = 432
x = 8
Plug in:
144 - 8 = 136
Ryan made 70% of the basketball shots he attempted if he made 63 baskets how many shots did he attempt
Answer:
Ryan attempted 90 shots
Step-by-step explanation:
63 is 70% of 90
90 x .7 = 63
Ryan attempted 90 shots and 63 of them are baskets which is 70 percent.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Ryan made 70% of the basketball shots he attempted.
let, 'x' be the number of shots he attempted and 63 of them are baskets.
So, 70% of x is 63, which is,
(70/100)×x = 63.
0.7x = 63.
x = 63/0.7.
x = 90.
So, Ryan attempted 90 shots in total.
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can someone help me with this? i'll award brainiest :D
Answer:
About 79 boys i think
Step-by-step explanation:
:)
darryl can paint a room in 9 hours. valerie can paint the same room in 15 hours. how long does it take for both darryl and valerie to paint the room it they are working together?
It will take 5.625 hours for both Darryl and Valerie to paint the room if they work together .
In the question ,
it is given that ,
Darryl can paint the room in 9 hours .
So , in 1 hour Darryl can paint 1/9 of the room .
Valerie can paint the room in 15 hours .
So , in 1 hour Valerie can paint 1/15 of the room .
So , the time taken to paint the room together can be calculated using ,
1/t = 1/9 + 1/15
1/t = 5/45 + 3/45
1/t = 8/45
Simplifying further ,
we get ,
t = 45/8
t = 5.625
Therefore , the time taken will be 5.625 hours .
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Find the upper bound