: minor axis = 12 mm, major axis = 13 mm. what is the angle of impact for the bullet hitting the wall?
Answers
The angle of impact for the bullet hitting the wall, assuming it approaches along the major axis, is approximately 41.19 degrees.
To determine the angle of impact for a bullet hitting a wall, we need additional information such as the shape of the bullet and the direction of its motion. The dimensions you provided, minor axis = 12 mm and major axis = 13 mm, suggest that you are referring to an elliptical shape.
If we assume that the bullet is approaching the wall along the major axis, we can calculate the angle of impact using trigonometry. Let's denote the angle of impact as θ.
Since the minor axis is perpendicular to the major axis in an ellipse, the tangent of the angle of impact can be calculated as the ratio of the minor axis to the major axis:
tan(θ) = (minor axis) / (major axis) = 12 / 13
Taking the inverse tangent (arctan) of both sides, we can find the angle θ:
θ = arctan(12 / 13)
Using a calculator or trigonometric table, we find that θ ≈ 41.19 degrees.
Therefore, the angle of impact for the bullet hitting the wall, assuming it approaches along the major axis, is approximately 41.19 degrees.
To know more about inverse tangent (arctan) refer here:
https://brainly.com/question/1594161
#SPJ11
Related Questions
s is inversely proportional to t.
When s = 0.6,t = 5
Work out t when s = 6
Answers
Answer: t = 50 when s = 6
Step-by-step explanation:
s = 0.6; t = 5
s = 6
6 ÷ 0.6 = 10
5 × 10 = 50
s = 6; t = 50
Hope this helps!
Helpppppp please mmmmmmm
Answers
Step-by-step explanation:
Please type or post your question....
hope you might understood
What is the equation of y=x^3 with the given transformations? Vertical compression by a factor of 1/7 ,horizontal shift 8 units to the left, reflection across the x axis
Answers
Answer:
y = (1/7)(x + 8)³
Step-by-step explanation:
We are given the function; y = x³
There is a vertical compression by a factor of 1/7 which means that we now have the function as;
y = (1/7)x³
We are told that it shifts by 8 units to the left. This means we will have;
f(x + 8)
This gives;
y = (1/7)(x + 8)³
The transformed equation of \(y=x^{3}\) is \(y=-\frac{1}{7} (x+8)^{3}\).
Given equation:- \(y=x^{3}\)
Applying the given transformations, we have:
To have a vertical compression by a factor of \(\frac{1}{7}\), we need to multiply the function by \(\frac{1}{7}\). So, we have:
\(y=\frac{1}{7} x^{3}\)
To have a horizontal shift by 8 units to the left, we need to add 8 to x. So, we have:
\(y=\frac{1}{7} (x+8)^{3}\)
Lastly, to have a reflection over the x-axis, we need to multiply the function by −1. So, we have:
\(y=-\frac{1}{7} (x+8)^{3}\)
Therefore, the transformed equation is \(y=-\frac{1}{7} (x+8)^{3}\)
For more information:
https://brainly.com/question/22821177
e1 has 8 ordered pairs while e2 has 10 and e3 has 4. question: of all the possible equivalence relations on a, what is the largest number of ordered pairs possible in the relation?
Answers
The maximum number of ordered pairs possible in the relation is 22.
To find the maximum number of ordered pairs possible in the relation, we examine the sizes of each equivalence class.
In the given question, we have a set A with n elements and an equivalence relation R on A. Let's assume that R has m equivalence classes, and the sizes of those classes are denoted as n1, n2, n3, ..., nm.
To find the maximum number of ordered pairs possible in the relation, we examine the sizes of each equivalence class. In the given scenario, e1 has 8 ordered pairs, e2 has 10 ordered pairs, and e3 has 4 ordered pairs.
To maximize the number of ordered pairs, we consider a scenario where e1, e2, and e3 are the only equivalence classes, each containing its ordered pairs. In this case, the total number of ordered pairs would be 8 + 10 + 4 = 22.
Therefore, the maximum number of ordered pairs possible in the relation is 22.
Learn more about equivalence relations:
https://brainly.com/question/30956755
#SPJ11
100 hours is how many days?
Answers
Answer: 4.1
Step-by-step explanation: Divide the numbers of hours in one day (24) into 100.
calculate the solar flux density (also known as the solar constant) for mercury using the following information: solar luminosity = 3.865 x 10^26 w distance of mercury from the sun = 5.791 x 10^10 m
Answers
Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².
The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.
using the formula for finding the solar flux density,
solar flux density = solar luminosity /(4 x π x distance between mercury and the sun)
solar flux density = 3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))
solar flux density = 9.12 x 10⁻³ W/m²
Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².
To learn more about solar flux density,
https://brainly.com/question/14891737
#SPJ4
why does no one ever answer my questions on this god-forsaken site?
Answers
Answer:
Because they dont feel like it
Step-by-step explanation:
Answer:
well if a ask a proper question no one will answer but if you ask something unreasonable you will get answer
\(\sqrt{8}+2\sqrt{3}\)
Answers
Answer : 6.29252873
if there are 15 cubs and 4 lionesses, what is the ratio of cubs to lionesses?
Answers
Answer:
15 : 4
Step-by-step explanation:
Given that,
→ 4 lionesses
→ 15 cubs
Then the ratio of cubs to lionesses,
→ x = No. of cubs : No. of lionesses
→ [ x = 15 : 4 ]
Hence, the ratio is 15 : 4.
the matrix. a=[62−210]. a=[6−2210]. has an eigenvalue λλ of multiplicity 2 with corresponding eigenvector v⃗ v→. find λλ and v⃗ v→.
Answers
The matrix A has an eigenvalue λ with a multiplicity of 2, and we need to find the value of λ and its corresponding eigenvector v.
To find the eigenvalue and eigenvector, we start by solving the equation (A - λI)v = 0, where A is the matrix, λ is the eigenvalue, I is the identity matrix, and v is the eigenvector.
Substituting the given matrix A, we have:
|6-λ -2|
|-2 10-λ| * |x|
|y| = 0
Expanding this equation, we get two equations:
(6-λ)x - 2y = 0 ...(1)
-2x + (10-λ)y = 0 ...(2)
To find λ, we solve the characteristic equation det(A - λI) = 0:
|(6-λ) -2|
|-2 (10-λ)| = 0
Expanding this determinant equation, we get:
(6-λ)(10-λ) - (-2)(-2) = 0
(λ^2 - 16λ + 56) = 0
Solving this quadratic equation, we find two solutions: λ = 8 and λ = 7.
Now, for each eigenvalue, we substitute back into equations (1) and (2) to find the corresponding eigenvectors v. For λ = 8:
(6-8)x - 2y = 0
-2x + (10-8)y = 0
Simplifying these equations, we get -2x - 2y = 0 and -2x + 2y = 0. Solving this system of equations, we find x = -y.
Therefore, the eigenvector corresponding to λ = 8 is v = [1 -1].
Similarly, for λ = 7, we find x = y, and the eigenvector corresponding to
λ = 7 is v = [1 1].
Therefore, the eigenvalue λ has a multiplicity of 2, with λ = 8 and the corresponding eigenvector v = [1 -1]. Another eigenvalue is λ = 7, with the corresponding eigenvector v = [1 1].
Learn more about eigenvalue λ here:
https://brainly.com/question/14415841
#SPJ11
Write the sentence as an equation.
341 is the same as the product of k and 273, minus 79
Answers
K+273-79=341
K+194=341
K+194-194=341-194
K=147
Problem 1: You may assume that the messages are written in lower-case letters. The frequency table has 30-lines, where each line contains a letter (or a special character) followed by a space and a positive integer (string of digits). For the simplicity purposes, the only special characters are: `-' for space, `.' for period, `!' for new line, and `+' for end-of-message.
Problem 2: When I input the paragraph it only read the first line. How do I make that read all the paragraph line from a text file.
Answers
The code opens the file "paragraph.txt" in read mode, reads its contents using the `read()` method, and assigns the result to the `paragraph` variable. ```python
paragraph = open("paragraph.txt", "r").read()
```
Problem 1: To solve the problem, use a dictionary data structure to store the frequencies of each letter or special character. Here's an example implementation in Python:
```python
def build_frequency_table(frequency_data):
frequency_table = {}
for line in frequency_data:
letter, frequency = line.split()
frequency_table[letter] = int(frequency)
return frequency_table
# Example usage:
frequency_data = [
"a 10",
"b 5",
"c 3",
"-" 15,
"." 8,
"!" 4,
"+" 1
]
frequency_table = build_frequency_table(frequency_data)
print(frequency_table)
```
In this example, the `build_frequency_table` function takes the `frequency_data` as input, which is a list of strings representing the frequency information for each character. It splits each line by the space character, extracts the letter and frequency, and adds them to the `frequency_table` dictionary. The function returns the resulting frequency table.
Problem 2: To read all the lines of a paragraph from a text file, you can use the `readlines()` method of a file object. Here's an example:
```python
filename = "paragraph.txt" # Replace with the actual filename
with open(filename, "r") as file:
paragraph_lines = file.readlines()
for line in paragraph_lines:
print(line)
```
In this example, the `paragraph.txt` file is opened in read mode using the `open()` function. The `readlines()` method is then used to read all the lines from the file and store them in the `paragraph_lines` list. Finally, you can iterate over the `paragraph_lines` list to process each line individually.
Learn more about frequency here: https://brainly.com/question/27884844
#SPJ11
Clare made a smoothie with 1 cup of yogurt, 3 tablespoons of peanut butter, 2 teaspoons of chocolate syrup, and 2 cups of crushed ice. Kiran tried to double this recipe. He used 2 cups of yogurt, 6 tablespoons of peanut butter, 5 teaspoons of chocolate syrup, and 4 cups of crushed ice. He didn’t think it tasted right. Describe how the flavor of Kiran's recipe compares to Clare's recipe.
Answers
Answer: it was probably more chocolaty because he added 5 teaspoons instead of 4 which is 2 doubled
Step-by-step explanation:
Answer: I think that he should add 1 more to every single other one execpt the chocolate syrup.
Step-by-step explanation:
Please simplify the expression with STEPS. Whoever answers with steps first gets brainliest.
Answers
Answer:
11y2
Step-by-step explanation:
(22•5•11x(-2)y5)
Simplify ————————————————
(22•5x(-2)y3)
Canceling out x(-2) as it appears on both sides of the fraction line
Dividing exponential expressions :
y5 divided by y3 = y(5 - 3) = y2
Canceling out 22 as it appears on both sides of the fraction line
Canceling out 5 as it appears on both sides of the fraction line
Final result :11y2
hope this helped!!!..<3
suppose there are a black balls and b white balls in a jar. we randomly pick a ball from the jar and put it back until we have a white ball. denote x as the number of balls we have picked. what would be the distribution and expectation of x? (the distribution is the general formula for P(x=k)
for each
k∈N)
. (You should derive the expectation from the definition).
Answers
It is the sum of the product of the number of trials and the probability of getting a white ball in that trial. E(X) = 1(1-p) + 2(1-p)p + 3(1-p)p2 + ....= 1 + (1-p)p + (1-p)p2 + ....= 1/p = (a+b)/b = (a/b) + 1.
Suppose there are a black balls and b white balls in a jar. We randomly pick a ball from the jar and put it back until we have a white ball. Denote x as the number of balls we have picked. What would be the distribution and expectation of x? (the distribution is the general formula for P(x=k) for each k ∈ N). (You should derive the expectation from the definition).The probability of picking a white ball is p = (b/(a+b)).
Then the probability of getting a white ball after x-1 black balls would be (1-p)x-1p. The distribution can be given as:P(x=k) = (1-p)k-1pSince we are choosing balls randomly, the balls' outcomes are independent of each other. Therefore, the distribution of x is given by the geometric distribution. The expectation is the total number of trials required to get a white ball.
Learn more about Black balls
brainly.com/question/31171032
#SPJ11
find the largest four-digit value of ${}t$ such that \[\sqrt{t-\sqrt{t-\sqrt{t-\sqrt{t-\cdots}}}}\]is an integer.
Answers
To find the largest four-digit value of t such that the expression is an integer, we need to set up an equation and solve for t.
Let's denote the given expression as x:
x = √(t - √(t - √(t - √(t - ...)))
To simplify the expression, we notice that the inner square root can be represented by x itself. So we can rewrite the equation as:
x = √(t - x)
Squaring both sides to eliminate the square root:
x^2 = t - x
Rearranging the equation:
x^2 + x - t = 0
To find the largest four-digit value of t, we can iterate through the values of t starting from 9999 and solve the quadratic equation for x. We are looking for a positive integer solution for x. Once we find the largest value of t that satisfies this condition, we have our answer.
By solving the quadratic equation for different values of t, the largest four-digit value of t that satisfies the condition is 9985.
For such more question on quadratic
https://brainly.com/question/1214333
#SPJ8
What are the midline, amplitude, and period of the graphed sine function?
The midline of the function is at y= ________.
The amplitude of the function is __________.
The period of the function is _________ pi.
Answers
The midline, amplitude and period respectively of the given sine graph are; x = 1; 2; π
Midline, Amplitude and Period
The midline of this trigonometric graph is defined as the horizontal line that divides the maximum and minimum point distance into two equal parts. In this case, the midline is x = 1
The amplitude of a graphed function is usually the peak of the wave of that graph. In this case, we see that the peak of the graph is at y = 4. Thus, Amplitude = 4
Period is the difference between two consecutive maximum or minimum points. In this graph, the period is π
Read more about Midline, Amplitude and Period at; https://brainly.com/question/21124447
Answer:
Midline: y = 1
Amplitude = 3
Period = 1\(\pi\)
Step-by-step explanation:
Edmentum
how to check 21 - 4x = 45
pls help !! <3
Answers
Answer: -6
Step-by-step explanation:
21 - 4x = 45
Subtract 21 from both sides
-4x = 24
Divide -4 from both sides
x = -6
Answer: How to check in explanation plus answer! (x=-6)
Step-by-step explanation:
Simplifying
21 + -4x = 45
Solving
21 + -4x = 45
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-21' to each side of the equation.
21 + -21 + -4x = 45 + -21
Combine like terms: 21 + -21 = 0
0 + -4x = 45 + -21
-4x = 45 + -21
Combine like terms: 45 + -21 = 24
-4x = 24
Divide each side by '-4'.
x = -6
Simplifying
x = -6
CHECKING!
Rearrange variables to the left side of the equation: -4x=45-21
Calculate the sum or difference: -4x=24
Divide both sides of the equation by the coefficient of the variable: x=-24/4
Cross out the common factor: x=-6
No one i don't know use this
Answers
Answer:
Lol
Step-by-step explanation:
given that Tn = -4n^2+56n-180 , determine the biggest numerical value of Tn
Answers
The solution and answer are well written in the Pic above.
T/F : Regression analysis uses all data points, not just the highest and lowest volume data points.
Answers
True. Regression analysis involves analyzing the relationship between two variables, typically by using all available data points.
Ignoring certain data points, such as the highest and lowest volume data points, can skew the results and lead to inaccurate conclusions. Therefore, it is important to use all available data points in regression analysis to ensure that the relationship between the variables is accurately represented.
True: Regression analysis uses all data points, not just the highest and lowest volume data points. It is a statistical method for analyzing the relationship between a dependent variable and one or more independent variables. By including all data points, regression analysis can identify patterns and trends, providing a more accurate representation of the data. This allows for better predictions and insights into the relationships between variables. Excluding some data points, such as only using the highest and lowest volume data points, would limit the analysis and potentially lead to inaccurate results.
Learn more about Regression at: brainly.com/question/31735997
#SPJ11
find the displacement
Answers
Answer:
55.
Step-by-step-explanation:
In a velocity/time graph like this the total displacement is the area of the body.
This is the area of (from left to right) of triangle OBF + area of the 2 rectangles + area of triangle CDE
Here this is 1/2 * 2 * 5 + 5 *4 + 5 * 4 + 1/2 * 5 * 4
= 5 + 20 + 20 + 10
= 55.
Answer:
55
Step-by-step explanation:
The displacement is the area under the line
The are comprises of
Triangle OBF + rectangle BEIF + triangle CDESo the area is:
1/2*2*5 + 5*8 + 1/2*4*5 = 55The distance from Jason’s house to school is 0.5 kilometer. What is this distance in meters?
Answers
Answer:
500
Step-by-step explanation:
If a given set of data has a variance of 64.58 and a sample size of 26, the the standard deviation is equivalent to
Answers
Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Standard deviation = √ {(xi – x)^2 / (n-1)}
here (xi – x)^ 2 means variance and n is sample size .
so we can say
Standard deviation = √{ (variance / sample size – 1 )}
here variance is 64.58 and sample size is 26 is given.
So stand deviation = √{64.58 / (26-1)}
standard deviation =0.32144673
Know more about “standard deviation” here: https://brainly.com/question/28316289
#SPJ4
the standard deviation will be 0.32144673 for the data having variance as 64.58 and sample size as 26.
Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Standard deviation = √ {(xi – x)^2 / (n-1)}
here (xi – x)^ 2 means variance and n is sample size .
so we can say
Standard deviation = √{ (variance / sample size – 1 )}
here variance is 64.58 and sample size is 26 is given.
So standard deviation = √{64.58 / (26-1)}
standard deviation = 0.32144673
Therefore, the standard deviation will be 0.32144673 for the data having variance as 64.58 and sample size as 26.
Learn more about “standard deviation” here: brainly.com/question/28316289
#SPJ4
Without any programs, form a polynomial function of degree 2 with zero points x = 1 and x = 3 and whose graph passes through the point (5, 4).
BALIIIISS AND BALIIS
Answers
Answer:
\(y= \frac12 x^2 -2x +\frac32\)
Step-by-step explanation:
From the two zeroes, you can tell that the polynomial factors as \(y= A(x-1)(x-3)\). You have still one degree of freedom (determining how wide the parabola is. You can determine it with the other condition:
\(4 = A(5-1)(5-3) \rightarrow 4= A(4)(2) \rightarrow A= \frac12\)
Your function is \(y= \frac12 (x-1)(x-3) = \frac12 x^2 -2x +\frac32\)
Which of the following shows the extraneous solution to the logarithmic equation log7(3x^3+x)-log7(x)=2?
Answers
Answer:
x=4
Step-by-step explanation:
on edge
The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16
What is logarithm?When you raise a number with an exponent, there comes a result.
Lets say you get\(a^b = c\)
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
\(b = \log_a(c)\)
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
We are given the function as;
log₇(3x²+x)-log₇x=2
Domian: 3x²+x>0
x(3x+1)>0
x∈(-∞,-1/3)U(0,∞)
Hence, x∈(0,∞), Thus x∈(0,∞)
In this problem we use the following formula:
\(\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16\)
Learn more about logarithm here:
https://brainly.com/question/20835449
#SPJ7
the question is below please help me
Answers
Answer: Exponential function
Step-by-step explanation:
Let us graph the points given so we can have a visual of the graph.
See attached.
I also graphed a straight, linear function, line through the first and the last point. Since some of the points do not line up, this function is not linear.
This function is not quadratic, as they are shown by a parabola when graphed.
This function is an;
Exponential function
Eddie bought some Perfume in Italy, the cost of the perfume was €50 the cost of the same perfume in London was £42. The exchange rate was £1= €1.25 work out the difference between the cost of the perfume in Italy and the cost of the perfume in London. Give your answer in pounds
Answers
Answer:
52 pounds
Step-by-step explanation:
7x - 4 + x = -1 + 13x + 7
Show work
Answers
Answer:
7x-4+x=-1+13x+7
8x-4=13x+6
add 4 to both sides
8x-4+4=13x+6+4
8x=13x+10
subtract 13x from both sides
8x-13x=13x+10-13x
-5x=10
divide both sides by -5
-5x÷-5=10÷-5
x=-2
I hope this is good enough:
Which inequality is true
Answers
Answer:
A
Step-by-step explanation:
\(\pi\)≈3.14
3x3.14=9.42
9.42>9