The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
We have,
To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.
The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).
Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.
Substituting these into the expression,
We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).
Now, let's evaluate the limit term by term:
lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).
lim(x approaches 0) (x (1/(sin(x))³))
= 0 (1/(sin(0))³)
= 0 x 1/0 (which is also undefined).
Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.
Therefore,
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
Learn more about limits here:
https://brainly.com/question/12211820
#SPJ1
solve for x. 2x+17+3x = 4+3x+3
Answer:
x = -5
Step-by-step explanation:
2x + 17 + 3x = 4 + 3x + 3
5x + 17 = 3x + 7
5x - 3x = 7 - 17
2x = -10
x = -5
Step-by-step explanation:
5x+17=3x+7
5x-3x=-17+7
2x=-10
x=-5
*can you help me back please
10 points
What is the total surface area of the
rectangular prism shown in square inches?
Answer:
D. 286.5 in.^2
Step-by-step explanation:
3 X 7.5+ 3 X 11.5 + 3 X 7.5+ 11.5 X 3 + 7.5 X 11.5 + 7.5 X 11.5=
22.5 + 34.5 + 22.5 + 34.5 + 86.25 + 86.25=
total surface area= 286.5 in.^2
Determine the value of A, the NET salary received by Mr Makatle for
1.3 Show how the UIF contribution of R82.36 was calculated.
1.4 Mr Makatle claims that the cumulative medical and contributions indicate on teza
advice is incorrect. Verily using calculations, whether is claim is valid
5 Calculate his monthly tax contribution as a percentage of his gross szias-
UESTION 2
Danielle is a 48-year-old female who works for MK Designs. She eares a trasie by
FR45 600,50 and an annual bonus equal to her basic monthly salary. Her sa
come for the 2018/2019 tax year is made up of her basic monthly salary on
Ons
Answer:
hfgf td utdu6kjyyyudytdcyu6 vfhdutd,ld
Step-by-step explanation:
1. The value of A, the Net Salary received by Mr. Makatle is R 5,369.49 (R8,236,00 - R 2 866,51), which is the gross pay minus total deductions.
2. The UIF contribution of R82.36 was calculated as 1% of R8236,00 (R 8,236 x 1%).
3. Mr. Makatle's claims that the cumulative medical contributions indicated on his pay advice are incorrect are valid.
The cumulative medical contributions for the year are supposed to total R 17,640 (R 1 764,00 x 10) instead of R 6,177.00, which represents the pension's cumulative contributions.
4. Mr. Makatle's monthly tax contribution as a percentage of his gross salary is 4.8865%.
Tax contribution = R 402.45
Gross monthly salary = R 8 236
Percentage of tax contribution to gross salary = 4.8865% (R402.45/R8,236 x 100)
5. For question 2, we can use the rates computed from Mr. Makate's salary advice to calculate Danielle's net pay for the year.
Danielle's Net Pay:Basic Salary FR 45 600,50
PAYE R 2,228.27 (4.8865%)
UIF R 456.01 (1%)
Pension Fund R 3 420. 04 (7.5%)
Medical Aid contribution R 9,766.72 (21.418%)
TOTAL DEDUCTIONS R 15,871.04
NET SALARY R 29,729.46
What is net pay?The net pay is the difference between a salary earner's gross income and the deductions made before the payment of salary.
The net pay represents the amount that the salary earner goes home with.
The net pay is also known as the take-home pay.
Question Completion:Mr. Paul Makatle is an employee at a clothing factory The following deductions are made from his gross monthly salary:
• 7,5% of his gross monthly salary for pension fund contributions
• UIF (Unemployment Insurance Fund) of 1% of his gross monthly salary
• PAYE (Pay as you earn) tax as per tax bracket
Use the salary advice below that Mr. Makatle receives for December 2020 to answer the questions that follow.
Basic Salary R 8 236,00
PAYE R 402.45 (4.8865%)
UIF R 82,36 (1%)
Pension Fund R 617,70 (7.5%)
Medical Aid contribution R 1 764,00 (21.418%)
TOTAL DEDUCTIONS R 2 866,51
NET SALARY R 5 369,49
GROSS SALARY IRP5 PARTICULARS-cumulative year to date:
R 82360,00
Total Employee's Tax R 6177.00
Medical Aid contr R 6,177.00
Question 1 Requirements:1. Determine the value of A, the NET salary received by Mr. Makatle
2. Show how the UIF contribution of R82.36 was calculated.
3. Mr. Makatle claims that the cumulative medical contributions indicated on his pay advice are incorrect. Verify, using calculations, whether his claim is valid
4. Calculate his monthly tax contribution as a percentage of his gross salary.
5. Calculate Danielle's net pay for the year, using Makatle's pay advice.
Learn more about gross and net salaries at https://brainly.com/question/25267964
what is the 3rd quartile ?
Answer:
The upper or third quartile, denoted as Q3, is the central point that lies between the median and the highest number of the distribution.
Step-by-step explanation:
Factor the expression -8x 2+ 22x - 15
Find the value of y.
3 cm
5 cm
X
6 cm
у
2 cm
3 cm
y = [?] cm
Enter a decimal rounded to the nearest tenth.
Answer: 4.3
Step-by-step explanation:
11x2=22
22/3= 7.3
7.3-3= 4.3
A bag contains 7 blue, 4 yellow, and 9 purple marbles.
What is the probability of P(not blue) written as a fraction?
Answer:
13/20
Step-by-step explanation:
you count up all the marbles together, which is 20 and then count up all the other marbles besides blue, which would be 13 of the 20 marbles are not blue
1.
Which equation has a solution of 8?
A = 16
C 8
B =
r
8
B 4r = 16
D-2r= -16
Answer:
it's x + 2 = 10 ,x - 4 = 4 , 3 x =24 and x over 8 = 1
Step-by-step explanation:
I guess that's the right answer
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 11ftand a length of 18ft?
Answer:
i got 691ft
Step-by-step explanation:
Answer: 3366
Step-by-step explanation: (17)(11)(18)= 3366
Can somebody explain how I'm supposed to do this??
Answer:
C
Step-by-step explanation:
You take the points and input them into the equation. If they all equal the set then it is the equation. So for example a point on the graph is (2,30) so in this case x is 2 so you would do y= 15(2) which is 30. So that equation and point checks out. Repeat with the others
Answer:
its c
Step-by-step explanation:
:)
help i don’t understand this
Answer:
31.4 in
Step-by-step explanation:
Count the 4 mm lines and add it to 31 ins. So you end up with 31.4 in
Betty has $40 in her pocket. She brought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was the price, in dollars, of each bag of popcorn?
(a) 0.55
(b) 2.50
(c) 4.17
(d) 5.20
Answer:
2.50 (b)
Step-by-step explanation:
30 divided by 12 is 2.5 which is equal to 2.50 :)
Answer:
b) 2.50
Step-by-step explanation:
$40 - $10 = $30 spent on popcorn
$30/12 = $2.50 per bag
It’s real simple just answer it
Answer:
-6 and negative 1 with the bio
Step-by-step explanation:
Express the quantity of the Cayennepepper im lemon juice in form one
Answer:
HUH
Step-by-step explanation:
Which method of calculating finance charge results in the lowest finance charge? a. average daily balance b. previous balance c. ending balance d. adjusted balance Please select the best answer from the choices provided A B C D
Answer: D
Step-by-step explanation:
adjusted balance
Answer:
above is correct
Step-by-step explanation:
d
Graph the line.
Y= 4/3 x
Answer:
hope this helps :)
Step-by-step explanation:
Which graph(s) show an inverse relationship? Check all that apply.
Answer:
can you show the graph please?
when can a parallelogram also be a kite?
9514 1404 393
Answer:
when it is a rhombus
Step-by-step explanation:
A kite is a figure in which the diagonals are perpendicular, and one of them is bisected by the other. It will be a parallelogram if both diagonals bisect each other. Such a figure (with mutually perpendicular bisectors as diagonals) is a rhombus.
A parallelogram that is a rhombus will also be a kite.
James invests $5400 in two different accounts. The first account paid 14 %, the second account paid 6 % in interest. At the end of the first year he had earned $580 in interest. How much was in each account?
Given:
Total invested amount = $5400
Rate of interest for first account = 14%
Rate of interest for second account = 6%
Total interest after one year = $580
To find:
The amount invested in each account.
Solution:
Let the amount invested in the first account be $x, then the amount invested in the second account is $(5400-x).
Total interest = 14% of $x + 6% of $(5400-x).
[tex]580=\dfrac{14}{100}x+\dfrac{6}{100}(5400-x)[/tex]
Multiply both sides by 100.
[tex]58000=14x+6(5400-x)[/tex]
[tex]58000=14x+32400-6x[/tex]
[tex]58000-32400=8x[/tex]
[tex]25600=8x[/tex]
Divide both sides by 8.
[tex]\dfrac{25600}{8}=x[/tex]
[tex]3200=x[/tex]
Now,
[tex]5400-x=5400-3200[/tex]
[tex]5400-x=2200[/tex]
Therefore, the amount invested in first account is $3200 and the amount invested in the second account is $2200.
Please find the answer
Answer:
it's 6.2
Step-by-step explanation:
6.2 is the only number that shows up more than once.
in the figure below ABC- XZY
find cosZ, sin Z, tan Z
round your answer to the nearest hundredth
The magnitude of angle Z include the following:
cosZ = 0.471
sinZ = 0.88
tanZ = 1.875
How to calculate the magnitude of angle Z?In order to determine the magnitude of angle Z, we would apply the basic trigonometric ratio because the given side lengths represent the adjacent side, opposite side, and hypotenuse of a right-angled triangle.
cos(θ) = Adj/Hyp
Where:
Adj represents the adjacent side of a right-angled triangle.Hyp represents the hypotenuse of a right-angled triangle.θ represents the angle.For cosZ, we would apply the cosine trigonometric ratio as follows;
cosZ = 13.6/28.9
cosZ = 0.4706
Z = cos⁻¹(0.4706)
Z = 61.93°.
For sinZ, we would apply the sine trigonometric ratio as follows;
sinZ = 25.5/28.9
sinZ = 0.8824
Z = sin⁻¹(0.8824)
Z = 118.07.
For tanZ, we would apply the sine trigonometric ratio as follows;
tanZ = 25.5/13.6
tanZ = 1.875
Z = tan⁻¹(1.875)
Z = 61.93.
Use triangle DEF shown below to answer the question that follows. What is the value of X rounded to the nearest hundredth?
Answer:
it might be x=63.27
Step-by-step explanation:
Please help this is due tomorrow!!!
Answer:
Use the Pythagorean therm
Step-by-step explanation:
A squared(one leg) + B square(one leg) = C(aka the hypotenuse)
brainlist plz
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
The dot isn’t shaded so > or <
From -55, it’s showing small than
From -49, it’s showing greater than
x < -55 or x > -49
Answer: x < -55 or x > -49
Step-by-step explanation:
x < -55 or x > -49
They both start with an opened circle, and also these two opened circle dots do not connect to each other. On the left side, the number is going from -55 to the smaller side, -57 or less, so we can say that x is smaller than -55. On the right side, the number goes from -49 to the bigger number, we can say that x is greater than -49.
Write a recursive formula and an explicit formula for the following arithmetic sequence.
5, 3, 1, -1, ...
A recursive formula is a1 = , an = |
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
An explicit formula is an =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Answer:
Step-by-step explanation:
A recent study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone.
complete question
study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving ( The Wall Street Journal , May 5, 2010). In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone.a. State the null and the alternative hypotheses to test the policy analyst’s objective.
b. Suppose a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. What is the value of the test statistic? What is the p-value?c. At α = 0.05 has the law been effective?
d. Repeat this exercise using the critical value approach with α = 0.05
Answer:
1. H0: p>=0.82
H1: p<0.82
2. z test statistic = -2.5767
3. the law has been effective
4. the null is rejected, the law has been effective
Step-by-step explanation:
1. hypothesis formulation
H0: p>= 0.82
H1: p< 0.82
2. p = 82% = 0.82
estimated p^ = x/n = 150/200 = 0.75
standard error calculation:
= √0.82(1-0.82)/200
= √0.82x0.18/200
= √0.02716615
Z test statistic calculation:
= 0.75-0.82/0.02716615
= -2.5767
3. this test is 1 tailed
the p-value using a p value calculator is = 0.004983
0.004983 < 0.05 so we Reject null and conclude that the law has been effective.
4. we Reject null at 0.05 if z is less than -1.645.
-2.5767<-1.645 so we Reject H0 and conclude law has been effective and there is a decrease in drivers under this age who use cell phones
Find the measure of angle x 20
Answer:
20°
Step-by-step explanation:
[tex]m \angle \: x = 20 \degree \\ (vertical \: \angle s)[/tex]
Answer:
x = 20°
Step-by-step explanation:
By opposite angle
x = 20°
-TheUnknownScientist
Evaluate the expression
y+243.8 when y=79
HELP PLEASE!!! LOOK AG PICTURE -which table represents a quadratic function? justify your answer
Answer:
table two
Step-by-step explanation:
The increase rate for table one is constant that's why it is a linear function
In the second table, however, the increase rate increases as x increases, it is not constant; therefore, table two is a quadratic function.
What is the expected value when rolling a fair 12-sided die?
Answer:
I think 1/12
Step-by-step explanation:
since the question didn't specifically the possibility of a certain number shown.
note this applies to probability related questions