By the power and chain rules,
[tex]\dfrac{\mathrm dy}{\mathrm dx}=-(\cot x-\csc x)^{-2}\dfrac{\mathrm d(\cot x-\csc x)}{\mathrm dx}[/tex]
Then
[tex]\dfrac{\mathrm dy}{\mathrm dx}=-(\cot x-\csc x)^{-2}(-\csc^2x+\csc x\cot x)[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\csc^2x-\csc x\cot x}{(\cot x-\csc x)^2}[/tex]
Multiply through both the numerator and denominator by [tex]\sin^2x[/tex]:
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{1-\cos x}{(\cos x-1)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{\cos x-1}{(\cos x-1)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac1{\cos x-1}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{1-\cos x}[/tex]
Can anyone tell me if this is right if not what is it please !!!!
Answer:
its correct :)
Step-by-step explanation:
*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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Solve the equation for y.
9x + 3y = -3
Answer:
y = - 1 - 3x
Step-by-step explanation:
thats the asnwer
multiply the last by 2 to find hypotenuse
Answer:
The hypotenuse is one of many terms in math and science that most people seem to have heard, but few can define or describe properly. It refers to the longest side of a right triangle, which is a type of geometric construct with very basic requirements but a practically unlimited range of sizes and overall shapes.
Step-by-step explanation:
A right triangle is a triangle with an angle of 90 degrees. This sole requirement results in triangles possessing a marvelous array of unique mathematical properties, including ways to determine the length of the hypotenuse given information about the other two sides or one side and one of the two non-90-degree angles.
Does anyone understand this? It’s supposed to be a 2 digit code
PLEASE HURRY
Solve the equation.
36 - (x + 9) = 7x-5
The solution is x =
I need this answers asap
Triangles WILL GIVE BRAINLIEST
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
I understand this but this question I don’t get :( I need answer
Nash training for a marathon and decides to run 26 miles every week
Answer:Nash ran 6 miles and walked 20 miles.
Step-by-step explanation:
Note: Consider we need to find the number of miles he ran and the number of miles he walked in the first week.
Total distance = 26 miles every week.
Ratio of the number of miles he ran to the number of miles he walked is 3:10.
Let he ran 3x miles and walked 10 x miles. So,
Total distance = 3x+10x
Divide both sides by 13.
The value of x is 2.
Number of miles he ran = 3(2) = 6 miles
Number of miles he walked = 10(2) = 20 miles
Therefore, Nash ran 6 miles and walked 20 miles in the first week.
Raphael drove 141.4 miles in 2.8 hours. (Don't label your answer) What was his average speed in miles per hour as a decimal?
Answer:
His average speed is 50.5 miles per hour
Step-by-step explanation:
I divided 141.4 miles by 2.8 hours and got 50.5 miles per hour
jamie has taken three math tests. her scores were 85, 90, and 89. to get an average of 90 what must be the sum of all her tests ? what score does she need on the fourth test so that her mean score is 90 ?
Answer:
96 marks
Step-by-step explanation:
We know that the mean of a given amount of values is the sum of the values divided by the number of values
Let the marks in the fourth test = x marks
Mean of the values = 90
(85 + 90 + 89 + x) / 4 = 90
264 + x = 360
x = 96
Therefore, Jamie needs 96 marks in her 4th test to get a mean score of 90
Elena went to the store where you can scoop your own popcorn and buy as much as you want.she brought 10 ounces of spicy popcorn for $2.50.How much popcorn can you buy per dollar?
Answer:
A. 4 ounces
Step-by-step explanation:
Given that Elana paid $2.50 for 10 ounces of popcorn, let x be the amount popcorn a dollar will buy.
Thus we have:
$2.50 = 10 ounces
$1 = x
Cross multiply
$2.50 × x = 10 ounces × $1
Divide both sides by $2.50
($2.50 × x)/$2.50 = (10 ounces × $1)/$2.50
x = (10 ounces)/2.50
x = 4 ounces
Therefore, you can buy 4 ounces of popcorn per dollar
Each card costs $ 3.00. how much do 44 cards cost
Answer:
132 dollars
Step-by-step explanation:
3.00 x 44 = 132
Answer:
3*44=132
------------
This is a sidenote. Sometimes, I give you the expression to find the answer, you just have to calculate it.
Write an equation for a rational function with the given characteristics.
Vertical asymptotes at x=−1 and x=4, x-intercepts at (−4,0) and (2,0), horizontal asymptote at y=−3
BRAINLIEST FIRST ANSWER
Answer:
y=-3
Step-by-step explanation:
just tryt if it is correct.
The rational function can be written as: f(x) = -3(x - 4)(x + 2) / ((x - 1)(x + 4))
To write an equation for a rational function with the given characteristics.
1. Vertical Asymptotes: We have vertical asymptotes at x = -1 and x = 4. This means that the function cannot take these values as inputs.
We can represent this by having factors of (x - 1) and (x + 4) in the denominator of our rational function.
2. x-intercepts: We know that the function passes through the points (-4, 0) and (2, 0). This means that the function has factors of (x - 4) and (x + 1) in the numerator.
3. Horizontal Asymptote: We are given that the horizontal asymptote is y = 4.
This means that as x approaches positive or negative infinity, the function approaches y = -3.
We can represent this by having a constant term of 4 in the numerator.
Combining all these pieces, the equation for the rational function can be written as: f(x) = -3(x - 4)(x + 2) / ((x - 1)(x + 4))
This equation satisfies the given characteristics: vertical asymptotes at x = 1 and x = 4, x-intercepts at (4, 0) and (-1, 0), and a horizontal asymptote at y = 4.
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Find the corresponding point on the unit circle for the radian measure given below 0=5π/3
The corresponding point on the unit circle for the angle [tex]\theta = \frac{5\pi}{3}[/tex] is given by: (0,5, -0.866).
What is the unit circle?For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].
In this problem, we have that [tex]\theta = \frac{5\pi}{3}[/tex], hence:
[tex]\cos{\theta} = 0.5[/tex][tex]\sin{\theta} = -0.866[/tex]Thus the point is (0,5, -0.866).
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Write an equation for the line described. Give your
answer in slope-intercept form.
m=6/7, through (6,5)
Answer:
see below
Step-by-step explanation:
The slope is given as 6/7. In slope-intercept form that is the coefficient of x, eliminating choices C and D.
If we try the point in the remaining equations, we find ...
A: y = 6/7(6) -1/7 = (36 -1)/7 = 35/7 = 5 . . . . . the correct equation
B: y = 6/7(6) +1/7 = (36+1)/7 = 37/7 = 5 2/7 . . . does not match (6, 5)
The appropriate choice is A.
PLEASE HELP FAST, FINAL IS TODAY!!‼️WILL GIVE BRAINLIEST‼️
The distance of the fish from the hook is: 21 ft
How to find the length of similar triangles?Two triangles are similar if their corresponding side proportions are the same and their corresponding pairs of angles are the same. When two or more figures have the same shape but different sizes, such objects are called similar figures.
Thus, using the concept of similar triangles, we can say that:
Let x be the horizontal base length from the fish to the hook and as such, we can say that:
3/5 = 12.6/x
x = (12.6 * 5)/3
x = 21 ft
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A washer machine is filling up with water at a constant rate 3/4 of a gallon and 1/5 of a minute. Don calculated the unit rate to be 3/20 of a gallon per minute what did he do wrong
The unit rate would be
(3/4 gal) / (1/5 min)
because the machine is filled with 3/4 gal of water in 1/5 of a minute. Do the arithmetic to get the unit rate of
(3/4 gal) / (1/5 min) = (3/4 • 5) gal/min = 15/4 gal/min
Don's mistake was to multiply 3/4 by 1/5 to get 3/(4•5) = 3/20, but he should have divided by 1/5 instead.
Jim drove 455 miles in 7 hours.
At the same rate, how many miles would he drive in 5 hours?
Given parameters:
Distance covered = 455 miles
Time taken = 7 hours
New time taken = 5 hours
Unknown:
New distance = ?
To solve this problem, we need to define what speed entails.
Speed is a physical quantity and it is distance divided by time.
Speed = [tex]\frac{distance}{time }[/tex]
In this problem, we first find the rate at which Jim is driving;
Speed = [tex]\frac{455}{7}[/tex] = 65miles/hr
Now that we know the rate, we can simply find the new distance;
New distance = speed x new time taken
Input the parameters;
New distance = 65miles/hr x 5hrs = 325miles
Enter the decimal 1.45 as an improper fraction in simplest form.
Answer:
29/20
Step-by-step explanation:
1.45= 145/100
145÷5=29/100÷5=20
therefore the answer is 29/20
4. What is the value of |-3.8/? *
Your answer
This is a required question
Answer:
3.8
Step-by-step explanation:
the absolute value of any negative number is going to be positive.
6x + 12 = 54
Can you please help me and show your work please if anyone gets it right im going to mark you as brainlylist
Answer:
x=7
Step-by-step explanation:
thats the answer
What would the domain of this be in interval notation?
Answer:
Domain: [2, ∞)
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that we cannot take the 4th root of a negative number, so under the square root, the entire thing can't be negative. This means that the x-value cannot be lower than 2, but can be 2 itself:
[2, ∞)
WHAT IS THE ANWSER 4x+2=2x+12
Answer:
x=5
Step-by-step explanation:
Look at the attachment below
Hope this helps (:
Answer:
x = 5
Step-by-step explanation:
Please help with question 57 i don’t understand please I have 100 questions to do by trm
Answer:
12%
Step-by-step explanation:
so you divide 250 by 100
250 / 100 = 2.5
280 / 2.5 = 112
250 is 100%
280 is 112%
her weight raised by 12%
Sketch a graph of
What is the orientation of the graph?
It is impossible to sketch a graph or determine the orientation of the graph.
Without a specific function or data set provided, it is impossible to sketch a graph or determine the orientation of the graph. The orientation of a graph refers to the direction of the graph and can be described as either increasing or decreasing.
In order to sketch a graph, we must first have a set of data points or a function to plot. Once we have the necessary information, we can plot the points or graph the function and then determine the orientation of the graph.
To determine the orientation of a graph, we look at the direction of the graph as we move from left to right. If the graph is moving upward as we move from left to right, then the orientation is increasing.
If the graph is moving downward as we move from left to right, then the orientation is decreasing. If the graph is neither increasing nor decreasing, then the orientation is said to be undefined.
In summary, the orientation of a graph is determined by the direction of the graph as we move from left to right. Without a specific function or data set provided,
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What is the solution to this equation?
2x - X+ 9 + 3x - 2 = 16
Answer: x=9/4
Step-by-step explanation:
combine like terms then
4x+7=16
4x=9
x=9/4 or 2.25
2x -x + 9 +3x -2 = 16
COMBINE LIKE TERMS
2x- x + 3x =4x 9 -2=7
4x+7 = 16
4x +7 -7 = 16 -7
4x = 9
4x/4 = 9/4
x = 2.25 or 2 1/4
When an opinion poll selects cell phone numbers at random to dial, the cell phone exchange is first selected and then random digits are added to form a complete telephone number. When using this procedure to generate random cell phone numbers, approximately 55% of the cell numbers generated correspond to working numbers. You watch a pollster dial 15 cell numbers that have been selected in this manner.
(a) What is the mean number of calls that reach a working cell number?
0.55
15
8.25
30
(b) What is the standard deviation ????σ of the count of calls that reach a working cell number?
0.55
2.872
1.927
3.7125
(c) Suppose that the probability of reaching a working cell number was p=0.70p=0.70 . How does this new pp affect the standard deviation?
When p=0.70,σ=3.24 calls.
When p=0.70,σ=3.15 calls.
When p=0.70,σ=1.775 calls.
When p=0.70,σ=10.5 calls.
What would be the standard deviation if p=0.80 ? (Enter your answer rounded to three decimal places.)
σ=
What does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to 1 ?
As p approaches 1 , the standard deviation increases (that is, it approaches 0).
As p approaches 1 , the standard deviation increases (that is, it gets further and further from 0)
As p approaches 1 , the standard deviation remains constant.
As p approaches 1 , the standard deviation decreases (that is, it approaches 0).
Answer:
a. [tex]Mean = 8.25[/tex]
b. [tex]SD = 3.7125[/tex]
c. [tex]SD = 3.15[/tex]
d. [tex]SD = 2.4[/tex]
e. As p approaches 1 , the standard deviation increases (that is, it approaches 0).
Step-by-step explanation:
Solving (a):
[tex]p = 55\%[/tex]
[tex]n = 15[/tex]
Find Mean
Mean is calculated as thus:
[tex]Mean = n * p[/tex]
[tex]Mean = 15 * 55\%[/tex]
Convert percentage to decimal
[tex]Mean = 15 * 0.55[/tex]
[tex]Mean = 8.25[/tex]
Solving (b):
Calculate Standard Deviation (SD)
Standard deviation is calculated as thus:
[tex]SD = n * p * (1 - p)[/tex]
[tex]SD = 15 * 55\% * (1 - 55\%)[/tex]
Convert percentage to decimal
[tex]SD = 15 * 0.55 * (1 - 0.55)[/tex]
[tex]SD = 15 * 0.55 * 0.45[/tex]
[tex]SD = 3.7125[/tex]
Solving (c):
Calculate Standard Deviation if p = 0.7
Using same formula used in (b) above
[tex]SD = n * p * (1 - p)[/tex]
[tex]SD = 15 * 0.7 * (1 - 0.7)[/tex]
[tex]SD = 15 * 0.7 * 0.3[/tex]
[tex]SD = 3.15[/tex]
Solving (d):
Calculate Standard Deviation if p = 0.8
Using same formula used in (b) & (c) above
[tex]SD = n * p * (1 - p)[/tex]
[tex]SD = 15 * 0.8 * (1 - 0.8)[/tex]
[tex]SD = 15 * 0.8 * 0.2[/tex]
[tex]SD = 2.4[/tex]
Solving (e):
What does the working show
In (b)
When p = 0.5
SD = 3.7125
In (c)
When p = 0.7
SD = 3.15
In (d)
When p = 0.8
SD = 2.4
Notice that as the value of p increases, the standard deviation gets closer to 0.
If each cube in the rectangular prism measures 1 cubic foot what is the volume of the prism
11 cubic ft That is the answer
Answer:
11 cubic ft
Step-by-step explanation:
