Answers
9514 1404 393
Answer:
π/3
Step-by-step explanation:
The given integral does not exist. We assume there is a typo in the upper limit, and that you want the integral whose upper limit is (√3)/2.
It is convenient to make the substitution ...
x = sin(y) . . . . so, y = arcsin(x)
dx = cos(y)·dy
Then the integral is ...
[tex]\displaystyle\int_0^{\sqrt{3}/2}{\dfrac{\cos{y}}{\sqrt{1-\sin^2{y}}}}\,dy=\int_0^{\sqrt{3}/2}{dy}=\left.\arcsin{x}\right|\limits_0^{\sqrt{3}/2}\\\\=\arcsin{(\sqrt{3}/2)}=\boxed{\dfrac{\pi}{3}}[/tex]
Related Questions
Grant also buys bottled water and juice pouches for the picnic. There are
12 bottles of water in each case and 10 juice pouches in each box. Grant wants
to buy the least amount but still have as many bottles of water as juice pouches.
How many of each should he buy? Explain.
Answers
Answer:
60 of each
Step-by-step explanation:
water juice
12 10
24 20
36 30
48 40
60 50
60
The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. a) Develop the appropriate null and alternative hypotheses. b) Assuming the standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the t-statistic
Answers
Answer:
The test statistics is [tex]z = -1[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The null hypothesis is [tex]H_o : \mu = \$30000[/tex]
The alternative hypothesis is [tex]H_a : \mu < \$ 30000[/tex]
The sample mean is [tex]\= x = \$29,750[/tex]
The standard deviation is [tex]\sigma = \$2,500[/tex]
The level of significance is [tex]\alpha =0.05[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }[/tex]
=> [tex]z = -1[/tex]
From the desired test, we have that:
a)
The null hypothesis is: [tex]H_0: \mu \geq 30000[/tex]The alternative hypothesis is: [tex]H_1: \mu < 30000[/tex]b) The t-statistic is t = -1.
Item a:
At the null hypothesis, we test if the average starting salary for clerical employees in the state is not less than $30,000, that is:
[tex]H_0: \mu \geq 30000[/tex]
At the alternative hypothesis, it is tested if the salary is less than $30,000, that is:
[tex]H_1: \mu < 30000[/tex]
Item b:
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 29750, \mu = 30000, s = 2500, n = 100[/tex]
Hence, the t-statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{29750 - 30000}{\frac{2500}{\sqrt{100}}}[/tex]
[tex]t = -1[/tex]
The t-statistic is t = -1.
A similar problem is given at https://brainly.com/question/13873630
How can I find b and c ?
Answers
Step-by-step explanation:
a=binod b=binod c= binod
The legs of a right triangle are 12 centimeters and 16 centimeters.What is the length of the hypotenuse
Answers
Answer:
20 cm
Step-by-step explanation:
Using the Pythagorean theorem:
[tex](a^2)+(b^2)=(c^2)\\(12)^2+(16)^2=(c^2)\\144+256=c^2\\400=c^2[/tex]
[tex]\sqrt{x} 400=c^{2} \\c^2=20\\[/tex]
Answer:
20 centimeters
Step-by-step explanation:
to find the length of a use the pythagoran theorem.
A^2+B^2=C^2 with a and b being the legs.
Plug in the numbers 12^2+16^2=c^2
Solve
c=20
the diagonal of a square is 3√2 then find its length
Answers
hope that this answer helps you.
Write the word or phrase that best completes each statement or answers the question.
Answers
Answer:
She can give it in 1- ways
Robyn likes to read novels that have 400 pages or fewer. Which inequality represents the number of pages, p, in the novels she likes to read? A. p ≤ 400 B. p ≥ 400 C. p > 400 D. p < 400
Answers
Answer:
A
Step-by-step explanation:
P represents the page of number and she likes to read FEWER than 400 or equal to it. P < 400 says that she likes to read pages that are fewer or equal to 400 pages.
The inequality that represents the number of pages p is p ≤ 400.
Option A is the correct answer.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Number of pages = 400 or fewer
This means,
Number of pages ≤ 400
Thus,
p ≤ 400
where p is the number of pages.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
BRAINLIST AND MANY OTHERS THINGS
Kyle's home is located at point (0 , 0). Kyle travels up for 5 miles, right for 6 miles, down for 10 miles, left for 6 miles, and finally up again for 5 miles. What is Kyle's new location?
Answers
Answer:
1, 0
Step-by-step explanation:
Just go on a chart graph and do what it asks and you get that.
An infeasible problem is one for which ________________________ Group of answer choices the objective is maximized or minimized by more than one combination of decision variables. there is no solution that simultaneously satisfies all the constraints. the Allowable Increase or Allowable Decrease values for changing cells are zero. there is exactly one solution that will results in the maximum or minimum objective.
Answers
Answer:
there is no solution that simultaneously satisfies all the constraints.
Step-by-step explanation:
An infeasible problem is one for which there is no solution that simultaneously satisfies all the constraints.
In linear programming, when a linear problem or program has no solution that simultaneously satisfies all the constraints i.e no feasible solution can be generated or gotten, then, the problem is said to be an infeasible problem. This ultimately implies that, an infeasible problem is one that does not have an optimal solution for all of its constraints (linear and non-linear constraints).
For example, when the demand requirement in a manufacturing plant or industry is much greater than its available capacity this will result into an infeasible problem. Also, when various functional managers in different departments in an organization have varying degree of requirements because there won't be an optimal solution.
Candy's Sweets Company charges $1.15 per pound to ship candy.
Part A: Write an equation to determine the total cost, c, to ship p pounds of candy. Use your equation to determine the cost of shipping 2 pounds of candy. (6 points)
Part B: If the company reduces the cost to ship candy by $0.25 per pound, write an equation to determine the total cost, c, to ship p pounds of candy with the reduced cost. (4 points)
Answers
Answer:
Part A: c = 1.15p
c = 1.15(2) c = 2.30
Part B: c = 0.9p
c = 0.9(4) c = 3.60
Answer:
Part A: c = 1.15p; The cost of shipping 2 pounds of candy is $2.30.
Part B: c = 0.9p
Step-by-step explanation:
Part A:
$1.15 --- 1 pound
$1 --- 1.15 pounds
Replace the money sign with c (since c represents the total cost) and replace pounds with p (since p represents pounds of candy)
c = 1.15p
We can then use this equation to find the c (cost) for 2p (2 pounds).
c = 1.15(2)
= 2.30
Thus, the cost of shipping 2 pounds of candy is $2.30.
Part B:
$1.15 - $0.25 --- 1 pound
$0.90 --- 1 pound
$1 --- 0.9 pound
Replace the money sign with c (since c represents the total cost) and replace pounds with p (since p represents pounds of candy)
c = 0.9p
Solve for n .
n - 26 = -13 .
n =
Answers
Answer:
n = 13
Step-by-step explanation:
Given
n - 26 = - 13 ( add 26 to both sides )
n = 13
Final Answer: [tex]n = 13[/tex]
Steps/Reasons:
Question: Solve for n. n - 26 = -13. n = ?
Step 1: Add 26 to both sides.
[tex]n = -13 + 26[/tex]
Step 2: Simplify -13 + 26 to 13.
[tex]n = 13[/tex]
~I hope I helped you :)~
MY NOTES ASK YOUR TEACHER Jack has decided to advertise the sale of his car by placing flyers in the student union and the dining hall of the college. He estimates that there is a probability of 0.4 that a potential buyer will read the advertisement and that, if it is read, the probability that the reader will buy his car will be 0.1. Using these estimates, find the probability that a potential buyer will read the ad and will buy Jack's car.
Answers
Answer:
The probability that a potential buyer will read the advert and will buy Jack's car is 0.04
Step-by-step explanation:
Estimate 1: There's a 0.4 probability that a potential buyer will read the advert.
Estimate 2: There's a 0.1 probability that whoever reads the advert will buy his car.
- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.
- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.
- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.
- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1
In the calculation of probability, "and" represents multiplication. Hence,
0.4 × 0.1 = 0.04
what is 1.875 as fraction
Answers
Answer:
[tex]1\frac{7}{8}[/tex] or 15/8, 15/8 is an improper fraction
Step-by-step explanation:
or 15/8, but 15/8 is an improper fraction
How do you factor x^2+8x-5=4?
Answers
Answer:
(x + 9)(x - 1)
Step-by-step explanation:
First, set the equation equal to zero by subtracting 4 from both sides:
x² + 8x - 5 = 4
x² + 8x - 9 = 0
Then, find two factors of -9 that add to 8.
These factors are the numbers 9 and -1.
Then, using these factors, put the equation in factored form:
x² + 8x - 9 = 0
(x + 9)(x - 1) is the factored equation
how do I solve
2×+9=9
Answers
Step-by-step explanation:
2x+9=9
+9. +9
2x = 18
x = 6
not really sure but I tried at least
Solve for x:abx²-(a⁴+b⁴)x+a³b³=0
Answers
Step-by-step explanation:
abx² - (a⁴ + b⁴)x + (a³b³) = 0
(ax - b³)(bx - a³) = 0
Therefore x = b³/a or x = a³/b.
Solve the following system of equations using the elimination method. 6x – 5y = –1 –6x – 4y = 10
Answers
Answer:
x= -1 y= -1
Step-by-step explanation:
3х + 1 = 7
3x + 1 = 7
-1 -1
Зх
—
Helpppppppp
Answers
Answer:
6
Step-by-step explanation:
3x+1 = 7
3x+1-1 = 7-1
3x = 6
function or not a function
Answers
Answer:
That isn't a function because the ratio of those numbers doesn't equal.
Step-by-step explanation:
what is 3 divided by 11/12
Answers
Answer:
0.02272
Step-by-step explanation:
Answer:
11/12 dividing 3 would be 11/36
Step-by-step explanation:
the difference between two numbers is 9 find the numbers if their sum is 46
Answers
x - y= 9
46 - y - y= 9
46 - 2y = 9
Y=37/2
Answer:
x - y = 9
x = 9 + y (equation 1)
Their sum is 46
x + y =46
(9 + y) + y = 46
9 + 2y = 46
2y = 46 - 9
2y = 37
y = 37/2
y = 18.5 ( one number)
second number =
place the value of y in equation 1
x = 9 + 18.5
x = 27.5
The two numbers are 18.5 and 27.5
Step-by-step explanation:
The question is below thanks
Answers
Answer:
FH ~ 10.02
Step-by-step explanation:
1. Approach
One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.
2. Circumference of the circle
The formula for circumference is;
[tex]2r[/tex]π
Substitute in the given values;
It is given that the radius is, hence
2 (7) π
14π
3. Find the fraction of the circumference one is supposed to find
It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;
[tex]\frac{angles}{360}=\frac{arc}{circumference}[/tex]
Substitute in the given information and solve;
[tex]\frac{82}{360}=\frac{arc}{14pi}[/tex]
arc = [tex]\frac{41}{180}*14pi[/tex]
arc = [tex]\frac{287}{90}*pi[/tex]
arc ~ 10.02
One equation in a system of linear equations is y=2x+1
a. write a second equation so that (1,3) is the only solution of the system
b. Write a second equation so that the system has infinitely many solutions
c. Write a second equation so that the system has no solutions
would appreciate answers
Answers
Answer:b
Step-by-step explanation:
The function, y=1000(1.005)^x, models the value of $1000 deposited at an interest rate of 6% per year, 0.005 per month, x months after the money is deposited.
a. Graph the function on your graphing calculator to predict how many months it will be until the account is worth $1,100.
b. Predict how many years it will be until the account is worth $5,000.
Answers
Answer: did this on edge
a. 19 months
b. 27 years
Step-by-step explanation: hope this helps:)
1
Plug the function y=1000(1.005)^x into your graphing calculator.
2
Put a split screen table. Use the table to find where x months will equal $1100
3
~19 months=1100
4
Use the table to find where x months is equal to $5000.
5
~27 years=5000
RESULT
a. 19 months
b. 27 years
Find the distance between a point (-7,-19) and a horizontal line at y = 3 .
Answers
The line is horizontal so the x value of the dot doesn’t matter because the x is a horizontal location.
The vertical distance would be the y value to the line.
-19 to 0 would be 19 and from 0 to 3 is 3
Total distance is 19 + 3 = 22
The answer is 22
During each week of piano lessons, William learns to play 2 new pieces. Write an equation that shows the relationship between the weeks of lessons x and the total number of pieces learned y.
Answers
Answer:
William can find how many piano pieces he has learned by using the equation y = 2x.
Step-by-step explanation:
We are given that William learns two piano pieces per week.
We are tasked with finding the equation that represents this relationship (the number of weeks that William has received piano lessons and the total number of piano pieces that William has learned).
The number of weeks that William has attended piano lessons is represented by the variable x.The total number of piano pieces that William has learned is represented by the variable y.Therefore, take for example that William has been taking piano lessons for four months. This would roughly equate to sixteen weeks.
[tex]x=16[/tex]After analyzing this, we know that he learns two pieces a week. So, we can multiply our number of weeks by two in order to receive the total amount of pieces learned.
[tex]x \times 2[/tex]Finally, we need to set this equal to the total number of pieces learned, or our previously defined variable y.
[tex]y=x\times 2[/tex]In mathematics, we want to simplify everything as much as possible. There is a statement that if a constant and a variable are to be multiplied, we can remove the multiplication symbol and place the constant and the variable together.
[tex]y=2x[/tex]Therefore, our equation is [tex]\bold{y = 2x}[/tex].
Your velocity is 13 feet per second. Are you moving up or down
Answers
Answer:up
Step-by-step explanation:...
Answer:
U are moving up
Step-by-step explanation:
Velocity is the speed of something in a given direction so.... since your velocity is 13 feet per second u are therefore moving up.Might sound confusing but i'm sure that is the answer
Pls help!!!!!!!!!!!!!!
Answers
Answer:
A
Step-by-step explanation:
Answer:
a) 18 cm
Step-by-step explanation:
c=2(pi)r
36(pi)=2(pi)r
18=r
Which equation is equivalent to 5 = 95 , x?
Answers
Answer:
Simplifying
5x = 95
Solving
5x = 95
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '5'.
x = 19
Simplifying
x = 19
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
Answers
Answer:
x=12
Step-by-step explanation: