The distance between person A and the balloon is given as follows:
367 m.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:
Sine = length of opposite side to the angle/length of hypotenuse of the triangle.Cosine = length of adjacent side to the angle/length of hypotenuse of the triangle.Tangent = length of opposite side to the angle/length of adjacent side to the angle = sine/cosine.For the angle of 33º, we have that:
The opposite side is of 200 m.The hypotenuse is the distance.Hence the distance is obtained as follows:
sin(33º) = 200/d
d = 200/sine of 33 degrees
d = 367 m.
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what is the answer?
please help
Answer:
Slope = 1/3
Step-by-step explanation:
Slope:Pick any two points. (-1,-2) ; (2,-1)\(\sf \ x_1=-1 ; \ y_1=-2\\\\ x_2 = 2 ; \ y_2=-1\)
Find the slope using the formula.\(\sf \boxed{\bf \ Slope =\dfrac{y_2-y_1}{x_2-x_1}}\)
\(\sf = \dfrac{-1-[-2]}{2-[-1]}\\\\ =\dfrac{-1+2}{2+1}\\\\= \dfrac{1}{3}\)
somebody help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
They could use a football, which is 12 inches in length since 12 * 50 = 600... they would need to measure the football 600 times.
hope this helps:)
Question 1 (2 x 12 = 24 marks) Analyze and discuss the performance (in Big-O notation) of implementing the following methods over Singly Linked List and Doubly Linked List Data structures: To be submitted through Turnitin.Maximum allowed similaritv is 15% Operation Singly Linked List Doubly Linked List add to start of list Big-O notation Explanation add to end of list Big-O notation Explanation add at given index Big-O notation Explanation
In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.
Add to Start of List:
Singly Linked List: O(1)
Doubly Linked List: O(1)
Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.
This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.
Add to End of List:
Singly Linked List: O(n)
Doubly Linked List: O(1)
Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.
In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.
This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.
Add at Given Index:
Singly Linked List: O(n)
Doubly Linked List: O(n)
Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.
This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.
Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.
In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.
On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.
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Given F(-7,8), G(-4,6), H(1,3), and
I(x,9). Find x such that FG I HI.
Answer:
(8,-4), (3,X)
Step-by-step explanation:
What is a situation in which you might locate points on a coordinating grid?
In various mathematical, locating points on a coordinate grid is necessary in geometry, data analysis, or navigation, coordinating grids provide a visual representation of relationships between different points or objects.
In geometry, coordinate grids are commonly used to plot and analyze geometric shapes. For example, when studying polygons or circles, the coordinates of their vertices or centers can be plotted on a grid to determine properties such as length, area, or symmetry. Additionally, coordinate grids are essential in graphing equations and functions, enabling the visualization of mathematical relationships between variables.
In real-life applications, coordinating grids are widely used in navigation systems. Global positioning systems (GPS) rely on coordinate grids to pinpoint locations on Earth's surface accurately. By using longitude and latitude coordinates, GPS devices and mapping software allow users to determine their precise location and find directions to desired destinations. Furthermore, coordinate grids are utilized in cartography to create maps, allowing cartographers to accurately represent geographic features and facilitate navigation for individuals or vehicles.
In summary, the act of locating points on a coordinate grid finds application in various mathematical contexts such as geometry and graphing equations, as well as in real-life scenarios like navigation systems and cartography. These grids enable the analysis, measurement, and visualization of relationships between points or objects, contributing to a better understanding of geometric shapes, mathematical functions, and spatial locations.
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the degrees of freedom for a data table with 10 rows and 11 columns is?
The degrees of freedom for a data table can be calculated using the formula:
Degrees of Freedom = (Number of Rows - 1) * (Number of Columns - 1)
In this case, the data table has 10 rows and 11 columns. Plugging these values into the formula:
Degrees of Freedom = (10 - 1) * (11 - 1) = 9 * 10 = 90
Therefore, the degrees of freedom for the given data table is 90.
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What is the inverse of the statement?
A number that has exactly two distinct factors is prime.
If a number has exactly two distinct factors, then the number is prime.
If a number does not have exactly two distinct factors, then the number is not prime.
If a number is not prime, then the number does not have exactly two distinct factors.
If a number is prime, then the number has exactly two distinct fac
The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.
When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."
To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."
As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."
It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.
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Problem of Tartaglia (1500-1577): among all positive numbers a, b whose sum is 8, find those for which the product of the two numbers and their difference is largest. (Enter your answers as a comma-separated list.)
a, b = _____
Let x = a - b and express abx in terms of x alone.
As per the information provided, a = 4√3/3 + 4, b = 4 - 4√3/3 the answer can be calculated with optimization method. it will be as follows:
Sum of a and b is 8, we get
a+b=8
b=8−a
Now, let x=a−b
Then we get,
\(x=a−(8−a) \\ x=2a−8 \\ x+8=2 \\ 1 \div 2x+4=a
\)
we use this to answer to solve for b
\(b=8−a \\ =8−(1 \div 2x+4) \\ =4−1 \div 2x
\)
Now we use the product of two numbers and its difference. This can be expressed as:
\(a⋅b⋅x=(1 \div 2x+4)(4−1 \div 2x) \\ x=2 {x}^{2} − \frac{1}{4} {x}^{3} +16x−2x^{2} \\ =−14x^{3} +16x
\)
Thus, this expression that we need to maximize. Take the derivative, set it equal to zero, and solve for x
\(−3 \div 4x ^{2} +16=0 \\ 16 =3 \div 4 x ^{2} \\ 643=x \\ 28√3 \div 3=x\)
Now for us to check that this is a maximum, we have to note that the second derivative is
\(−3 \div 2x
\\ At \\
x=8√3 \div 3
\)
the second derivative is −4√3. Since this number is negative, the point is a maximum.
Now we must find the values of a and b for this x. We have to use the relationship
\(a=1 \div 2x+4\)
\(a=1 \div 2 \times 8√3 \div 3+4 \\ =4√3 \div 3+4\)
now we use the relationship b=8−a
\(b=8−(4√3 \div 3+4) \\ =4−4√3 \div 3\)
The first step in determining a function's maximum or minimum value is differentiating it. Then, set this derivative to zero and conduct the computation.
x. This will reveal the location of a function's maximum or minimum, but it won't reveal which.
Take the second derivative to get more details. A local maximum occurs when both the first and second derivatives are negative. You have a local minimum when both the first derivative and the second derivative are zero.
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The formula for simple interest is I=Prt. please help
a. Solve the formula for t.
t=
Answer:
I=Prt
I/Pr=Prt/Pr
t=I/Pr
Please help me with edge question .
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)
he cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 50 to 70 minutes. find the mean and variance of the cycle times for the trucks.
The mean cycle time for the trucks hauling concrete to a highway construction site is 60 minutes, and the variance of the cycle times is 100/3 minutes squared.
The cycle time for the trucks hauling concrete is uniformly distributed over the interval 50 to 70 minutes. This means that any value within the interval has an equal chance of being the cycle time for the trucks. The probability density function (PDF) for a uniform distribution is given by:
f(x) = 1/(b-a), for a ≤ x ≤ b
where a = 50 minutes (the lower limit of the interval) and b = 70 minutes (the upper limit of the interval).
To find the mean of the cycle times, we can use the formula:
mean = (a + b)/2
Substituting the values of a and b, we get:
mean = (50 + 70)/2 = 60
Therefore, the mean cycle time for the trucks hauling concrete is 60 minutes.
To find the variance of the cycle times, we can use the formula:
variance = (b - a)² / 12
Substituting the values of a and b, we get:
variance = (70 - 50)² / 12 = 100/3
Therefore, the variance of the cycle times for the trucks hauling concrete is 100/3 minutes squared.
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Answer this question correctly for 10 pts and brainlesit! be first :)
What is the question?
there are 12 blue shirts and 7 purple shirts in a drawer. three shirts are randomly selected without replacement. what is the probability of selecting two purple shirts then a blue shirt? (write your answer as a fraction reduced to lowest terms. format answer 0/0 )
The probability of selecting two purple shirts then a blue shirt is 28/323
Given, there are 12 blue shirts and 7 purple shirts in a drawer.
three shirts are randomly selected without replacement.
the probability of selecting two purple shirts then a blue shirt is,
(C(7 , 2) × C(12 , 1))/C(19 , 3) = ((7×6)/2 × 12)/(19×18×17)/6
= (7×6×6)/(19×3×17)
= 84/969
= 28/323
Hence, the probability of selecting two purple shirts then a blue shirt is 28/323
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Helena has five different flowers. She plans to give one flower to each of her five teachers in any order. She gives the first flower to one of her teachers in the morning.
In how many different ways can she give the four remaining flowers to the rest of the teachers in the afternoon?
1 combination
4 combinations
21 combinations
24 combinations
Answer:
24
Step-by-step explanation:
Based on the number of flowers and teachers left, the other ways Helena can distribute the other flowers is in 24 combinations.
How many combinations can Helana use?This can be found as:
= (4 flowers left x 3 flowers after 4th teacher given x 2 flowers x 1 flower for last teacher)
Solving gives:
= 4 x 3 x 2 x 1
= 24 combinations
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express 7g as kg using decimal...
Pls a s me
, if ur a s will be right i will mark it brainlist...
Answer:
Step-by-step explanation:
if you see a person that sends you a sketchy link dont click it is an ip grabber.
Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
Aiden has two toy cars that measure 2/1 4 inches, three that measure 2/3 8 inches and one that measure 2/7 8 inches one that measure 2/3 4 inches.
Answer:
thats sucks
Step-by-step explanation:
how to find the 30th term in a sequence
Answer:
just use the formula
an=a+(n-1)dfind an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy. (note: start your answer with y
The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.
To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:
We have:
Point: (0, 1)
Slope: 5xy
We can start by integrating the slope function to find the equation of the curve:
∫(dy/dx) dx = ∫(5xy) dx
Integrating both sides:
∫dy = ∫(5xy) dx
Integrating with respect to y on the left side gives us:
y = ∫(5xy) dx
To solve this integral, we treat y as a constant and integrate with respect to x:
y = 5∫(xy) dx
Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:
y = 5 * (1/2) * x^2y + C
Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:
1 = 5 * (1/2) * (0)^2 * 1 + C
1 = C
Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:
y = 5 * (1/2) * x^2y + 1
Simplifying further, we have:
y = (5/2) * x^2y + 1
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(a)Offspring survivorship, S, for another bird species decreases with clutch size, C, as S = 0.5 - 0.1C. What is the optimal clutch size for this species? Again, assume that the bird lays one clutch per year, regardless of how many eggs are in the clutch. (b) Find a symbolic expression for optimal clutch size in a species that has a survivorship-clutch size relationship of the form S = a - bC
The optimal clutch size is 1.
a)The survivorship of an offspring, S, decreases with the clutch size, C.
Therefore, the formula is given as:
S = 0.5 - 0.1C
We need to find the optimal clutch size for this bird species.
We can do this by differentiating S with respect to C, and equating the result to zero.
That is:S = 0.5 - 0.1C => dS/dC = -0.1
Equating dS/dC to zero gives:-0.1 = 0 => C = 0
This implies that there is no optimal clutch size for this species.
However, since C represents clutch size, it must be a positive integer.
Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is
1.b)The optimal clutch size for a species with a survivorship-clutch size relationship of the form S = a - bC can be obtained by following the same procedure as above.
We can differentiate S with respect to C, and equate the result to zero.
That is:S = a - bC => dS/dC = -b
Equating dS/dC to zero gives:-b = 0 => C = 0
This implies that there is no optimal clutch size for this species. However, since C represents clutch size, it must be a positive integer. Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is 1.
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the time spent waiting in the line is approximately normally distributed. the mean waiting time is 5 minutes and the variance of the waiting time is 1. find the probability that a person will wait for more than 6 minutes. round your answer to four decimal places.
There is a 30.85% chance that someone will have to wait longer than 6 minutes.
What is z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
z = (raw score - mean) / standard deviation
So,
We can write,
Mean of 6 minutes and variance = 1 minutes, hence:
Standard deviation = √variance = √1 = 1 minutes
For > 6 minutes:
z = (6 - 5)/2 = 1/2=0.5
P(z > 0.5) = 1 - P(z < 0.5)
P(z > 0.5) = 1 - 0.6915
P(z > 0.5) = 0.3085
Therefore,
There is a 30.85% chance that someone will have to wait longer than 6 minutes.
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What is the output of the following code fragment?
int x=0;
while( x < 5)
cout << x << endl;
x ++;
cout << x << endl;
The output of the following code fragment
int x=0;
while( x < 5)
cout << x << endl;
x ++;
cout << x << endl; will be 0, 1, 2, 3, 4, 5.
The code initializes the variable x to 0, and then enters a while loop that will execute as long as x is less than 5. During each iteration of the loop, the value of x is output to the console using the cout statement, followed by a new line character.
After the cout statement, x is incremented by 1 using the x++ statement. This process is repeated until x is equal to 5, at which point the loop terminates. Finally, the value of x is output to the console using the cout statement, followed by a new line character, giving the output of 5.
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Please help me!
No links!!! Please!
Answer:
d = -3
Step-by-step explanation:
-3 -9 = -12
-12/6
= -2
please help :,))))))))
Answer:
answer is B quack quack.
Please answer my question
Jason is on a diet. His goal is to lose 5.9 pounds per month. How much weight will he have lost after 3.3 months? A) 19.2 B) 19.47 C) 19.7 D) 19.77
Answer:
B) 19.47
Step-by-step explanation:
5.9*3.3=19.47
Answer:
B 19.47
Step-by-step explanation:
5.9 = 1
? = 3.3
cross multiply
5.9 × 3.3 = 19.47
\Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] (Use non-identity functions for f(u) and g(x).) y = et + 9 (f(u), g(x)) =
Y= 3√E^+9
Find the derivative dy/dx
dy/dx= _____
Calculate the perimeter of the new quadrilateral and the ratio of the perimeter of the new quadrilateral with the perimeter of quadrilateral . round your answers to the hundredths place.
The perimeter of the quadrilateral with sides A, B, C and D is 9.23
Perimeter of a quadrilateralThe quadrilateral is a shape which has 4 sides, such as square and rectangle.
The perimeter of a quadrilateral is the addition of all sides.
Side A = 2.56Side B = 2.22Side C = 3.01Side D = 1.44Perimeter = Side A + side B + side C + side D
= 2.56 + 2.22 + 3.01 + 1.44
= 9.23
Therefore, the perimeter of the quadrilateral with sides A, B, C and D is 9.23
Complete question:Calculate the perimeter of each quadrilateral with sides Side A = 2.56, Side B = 2.22, Side C = 3.01 and Side D = 1.44 and the ratio of the perimeters. round your answers to the hundredths place.
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use the ratio of a 45-45-99 triangle to solve for the variables.
Answers:
\(a = 18\sqrt{2}\)
\(b = 18\)
==============================================================
Explanation:
For any 45-45-90 triangle, the two legs are the same length. We consider triangles like this to be isosceles. So we have b = 18 as the vertical leg because the horizontal leg is also 18 units long.
The hypotenuse of these types of triangles is always \(\sqrt{2}\) times longer compared to the leg length. So the hypotenuse is \(a = 18\sqrt{2}\)
As an alternative, you can use the pythagorean theorem to find the hypotenuse.
Policies Current Attempt in Progress On May 1, 2021, Sheffield Company sells office furniture for $300000 cash. The office furniture originally cost $746800 when purchased on January 1, 2014. Depreciation is recorded by the straight-line method over 10 years with a salvage value of $80200. What gain should be recognized on the sale? (Hint: Use 7.333333 for years used in calculation.) O $44540. O $22220. O $84080. O $42040. Save for Later -/5 = 1 Attempts: 0 of 1 used Submit Answer
To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.
First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.
Depreciation per year = (Cost - Salvage Value) / Useful Life
Depreciation per year = ($746,800 - $80,200) / 10 years
Depreciation per year = $66,160
Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.
Accumulated Depreciation = Depreciation per year × Years
Accumulated Depreciation = $66,160 × 7.33 years
Accumulated Depreciation = $484,444.80
Now, we can calculate the book value of the furniture:
Book Value = Cost - Accumulated Depreciation
Book Value = $746,800 - $484,444.80
Book Value = $262,355.20
Finally, we can calculate the gain on the sale:
Gain on Sale = Sale Price - Book Value
Gain on Sale = $300,000 - $262,355.20
Gain on Sale = $37,644.80
Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.
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The gain that should be recognized on the sale of the office furniture is $84,080.
The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.
Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.
For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420
Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.
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