What is the range of arcsinx

Answers

Answer 1

y= arcsin(x) is equivalent to sin(y) = x

we know that -1≤x+1, hence the range of y is: -π/2≤y≤+π/2

Answer 2

Final answer:

The range of the inverse sine function, or arcsin(x), is the set of angles from -π/2 to π/2 radians, which is the same as -90° to 90° degrees. This defines the possible output values of the function for all real numbers in the interval [-1, 1].

Explanation:

The question "What is the range of arcsinx" concerns itself with the inverse trigonometric function, specifically the inverse of the sine function. The range of a function is the set of all possible output values it can produce. For the inverse sine function, or arcsin(x), the range is the set of angles that can produce all possible sine values, which are within the closed interval [-1, 1].

The sine function itself has a range from -1 to 1, so the arcsine function, being its inverse, takes on values that are angles that correspond to these sine values. In terms of angles, the range of the arcsin function is [-π/2, π/2] or [-90°, 90°] in degrees. This means that for any input value x within [-1, 1], the output of arcsin(x) will always be an angle measured in radians (or degrees) that falls within this range.

Related Questions

plz help me so confused

Answers

OK so for the first one, you have 3 TVs for 1200 dollars. The 90 dollars is a 1 time cost. so what u want to do is multiply 3 by 1200 and then add 90.

Consider a point on the trans-australian highway, where two old wombats live. arrivals of cars at this point follow a poisson distribution; the average rate of arrivals is 1 car per 12 seconds.

Answers

Given that the arrivals of cars at the trans-australian highway follow a poisson distribution with the average rate of arrivals as 1 car per 12 seconds.

This is a Poisson distribution with a mean of 1 car every 12 seconds.

Part A:

The probability of a Poisson distribution is given by:

[tex]P(X=x)= \frac{e^{-\lambda}\lambda^x}{x!} [/tex]

Given tha one of the old wombats requires 12 seconds to cross the highway, and he starts out immediately after a car goes by.

The probability he will survive is the probability that no car passes through the point in the next 12 seconds.

[tex]P(x=0)= \frac{e^{-1}(1)^0}{0!} =e^{-1}=0.368[/tex]

Therefore, the probability that he will survive is 0.368

Part B:

Given that at the same point of the highway there is another old wombat, slower but tougher than in the previous exercise. He requires 24 seconds to cross the road, but it takes two cars to kill him. (A single car won’t even slow him down. The arrival rate of cars is still one car per 12 seconds.)

Since the arrival rate of cars is one car per 12 seconds, then, in 24 seconds the arrival rate is 2 cars. (i.e. λ = 2)

The probability that he survives is the probability that 2 cars did not pass through the point.

[tex]P(X\neq2)=1-P(X=2)=1- \frac{e^{-2}(2)^2}{2!} =1-0.135=0.865[/tex]

solve the equation 0.35(x+4)=0.25(x-6)

Answers

Answer:

x=-29

Step-by-step explanation:

First multiply 0.35 by x+4 and 0.25 by x-6 after you do that you will get

0.35x+1.4=0.25x-1.5

now add 1.5 from -1.5 and 1.4 now your equation on will look like this

0.35x+2.9=0.25x

Now subtract 0.35x from both sides of the equation and your equation will look like this

2.9=0.1x

at this point you divide to get your answer, divide 2.9 and 0.1x by -0.1 and you will end up with 2.9 over -0.1 once you divide you will get -29=x

The value of x is -29.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

0.35(x+4)=0.25(x-6)

Now, solving for x

0.35 x + 1.4 = 0.25x - 1.5

0.10x = -2.9

x= -29

Hence, the value of x is -29.

Learn more about Equation here:

https://brainly.com/question/10413253

#SPJ5

5/2(6x-7)+ 4/3(2+9x)

Answers

162x - 89 That is ur answer
6

5/2(6x-7)+ 4/3(2+9x)
=15x - 35/2 + 8/3 + 12x
= 27x - 105/6 + 16/6
= 27x - 89/6

Serena has 6 photo albums with 15 photos in each. Her friend Maya has 8 albums with 13 photos in each. If Serena adds another 12 photos to her albums how many photos will Serena and Maya have in all?

Answers

serena has 6 photo albums with 15 photos in each
so serena has (6 * 15) = 90 photos.
maya has 8 albums with 13 photos in each.
so maya has (8 * 13) = 104 photos
if serena add another 12 photos to her album....(90 + 12) = 102 photos

so in total, serena and maya have 102 + 104 = 206 photos <=

serene=6x15=90
maya=8x13=104
serene=90+12=102
so add maya and serene;
102+104=206 answer

negation of all owls fly?

Answers

Looking at this in terms of sets, let's call O the set of all owls, and F the set of all things that can fly. What this original statement is saying every animal that's a member of the set of all owls is also a member of the set of all things that can fly, or in other words, O⊂F (O is a subset of F). Negating this tells us that, while there's at least one element of O that also belongs to F, O is not contained entirely in F (O⊆F, in notation), so a good negation or our original statement might be:

Not all owls can fly.

...wow the other person was fantastic.. I’m not even gonna try competing...

Marcus rented a movie for $4 and some video games for $6 each. He paid $22. How many games did he rent?Choose two answers: one for the equation that models this situation and one for the correct answer.

A.Equation: 6 + 4x = 22
B.Answer: 3 video games
C.Answer: 4 video games
D.Equation: 4 + 6x = 22

Answers

Your equation should be:

4 + 6x = 22

This is so because he only bought one movie, but he bought "some" video games. The variable x represents some in the problem.

Solve the equation.

4 + 6x = 22

Subtract 4 from both sides of the equation.

6x = 18

Divide both sides by 6.

x = 3

Marcus rented 3 video games.

Solution :

D. 4 + 6x = 22
B. 3 video games

Answer:

4 + 6x = 22 and 3 video games

Step-by-step explanation:

ape-x

Assume that the salaries of elementary school teachers in the united states are normally distributed with a mean of $32,000 and a standard deviation of $3000. if 100 teachers are randomly selected, find the probability that their mean salary is less than $32,500.

Answers

Can you make this question clearer to read

Answer: 0.9525

Step-by-step explanation:

Given : The salaries of elementary school teachers in the united states are normally distributed with a mean of [tex]\mu=\$32,000[/tex] and a standard deviation of [tex]\sigma=\$3000[/tex].

Sample size : n= 100

Let x be a random variable that denotes the salaries of elementary school teachers in the united states.

Formula : [tex]z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

Then, the probability that their mean salary is less than $32,500 will be :-

[tex]P(x<32500)=P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{32500-32000}{\dfrac{3000}{\sqrt{81}}})\\\\=P(z<\dfrac{500}{\dfrac{3000}{10}})\approx P(z<1.67)=0.9525\ \ [\text{Using z-value}][/tex]

Hence, the probability that their mean salary is less than $32,500 = 0.9525

a picnic start at 12:10 pm .kevin arrives at 1:40 pm the picnic continues until 3 pm.how much time elapsed betwwen the picinic and keven arrivals

Answers

50 minutes
1 hour 20 minute

Final answer:

To determine the time elapsed between the start of the picnic and Kevin's arrival, subtract the start time (12:10 pm) from Kevin's arrival time (1:40 pm), which results in 1 hour and 30 minutes.

Explanation:

To find out the amount of time that elapsed between the start of the picnic and Kevin's arrival, we subtract the start time of the picnic from the time Kevin arrived. The picnic started at 12:10 pm and Kevin arrived at 1:40 pm.

Step-by-step calculation:

Convert the times into a 24-hour format to avoid any confusion.12:10 pm is 12:10 in 24-hour format.
1:40 pm is 13:40 in 24-hour format.Subtract the start time of the picnic from Kevin's arrival time.13:40 - 12:10.Calculate the difference in hours and minutes.Kevin arrived 1 hour and 30 minutes after the picnic started.

Marcel is planning a vacation. The travel agent says the average high temperature at the resort is 20 degrees Celsius. What is the equivalent Fahrenheit temperature

Answers

Final answer:

The equivalent Fahrenheit temperature for 20 degrees Celsius is 68 degrees Fahrenheit.

Explanation:

To convert Celsius to Fahrenheit, you can use the formula: F = (C × 9/5) + 32

Using this formula, we can calculate the equivalent Fahrenheit temperature for 20 degrees Celsius:

F = (20 × 9/5) + 32 = 68 degrees Fahrenheit

Suppose you are a small business owner. How would a market demand schedule or a market demand curve be useful?

Answers

Because the market demand curve is the summation of all the individual demand curves in a given market. It shows the quantity demanded of the good by all individuals at varying price points. In other words, it shows the relationship between consumer demand and price.

For each sequence, find a formula for the general term, a_n. for example, answer n ^2 if given the sequence: \lbrace 1, 4, 9, 16, 25, 36, . . . \rbrace

Answers

This is clearly a sequence of the squares of the integers {1, 2, 3, .... }.

The general term is an = n^2.

A circle with a central that measures 1° has a radius of 10 inches. Find the length of the intercepted .

Answers

[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}\quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ \theta =1\\ r=10 \end{cases}\implies s=\cfrac{1\cdot \pi \cdot 10}{180}[/tex]

what sequence is next 3 9 27 81

Answers

You are multiply 3 each time, so your next number is

81 x 3 = 243

your answer is 243

hope this helps

What is the simplified form of the left side of the following equation?

2x-4+5x=8

Select the correct answer below.

A.2x+1
B.3x-4
C.5x-2
D.7x-4

Answers

Combine like terms.
The term 2x and the term 5x are like terms and can be combined into 7x.
The answer is 7x - 4

If P is the midpoint of XY,XP=8x-2 and PY=12x-30 find the value X

Answers

check the picture below.

P being the midpoint, will cut XY in two equal halves.

Using the midpoint concept, it is found that x = 7.

----------------------

The midpoint divides a segment into two segments of equal length.P is the midpoint of XY, thus XP = PY.

----------------------

[tex]XP = 8x - 2[/tex]

[tex]PY = 12x - 30[/tex]

Since they are equal, we use it to find x.

[tex]XP = PY[/tex]

[tex]8x - 2 = 12x - 30[/tex]

[tex]4x = 28[/tex]

[tex]x = \frac{28}{4} = 7[/tex]

The value of x is 7.

A similar problem is given at https://brainly.com/question/10956693

Suppose that you invest $5873 in an account that earns interest at an APR of 4.4%, compounded monthly. Determine the accumulated balance after 7 years.

Answers

Given:
P = $5873, the principal
r = 4.4% = 0.044, the interest rate
n = 12, twelve monthly compoundings in a year
t = 7 years

Note that
n*t = 12*7 = 84
r/n = 0.044/12 = 0.003667

The accumulated balance after 7 years is
A = 5873*(1 + 0.003667)⁸⁴ = $7,986.90

Answer: $7,986.90

A dance studio charges an application fee of $75 and $50 per month for membership. This is represented by the linear equation C = 50x + 75, where C represents the cost and x represents the number of months. They are running a "no application fee" special during the month of January. How should the linear equation be changed to represent the new price?

Answers

The first one is C = 50x + 75, where 75 is the application fee. When they take out the application fee, it will become:

C = 50x +75 (-75)

your answer will be C = 50x

hope this helps

Final answer:

To represent the new price during the 'no application fee' special, the dance studio's cost equation would change from C = 50x + 75 to C = 50x by removing the $75 application fee.

Explanation:

The dance studio's original cost equation is C = 50x + 75, where C represents the total cost and x represents the number of months of membership. The $75 in the equation represents the application fee. During the "no application fee" special in January, this fee is waived, so the new equation would only include the monthly membership cost, which is $50 per month. The new equation would be C = 50x, removing the application fee entirely from the cost calculation.

Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he 21) has 20 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?

Answers

Let the short side be W

The half circumference of the semi-circle = .5 * pi *W

2Lengths + width + semicircle = 20 ft

2L + W + (.5*pi*W) = 20

2L + W + 1.57W = 20

Combine like terms

2L + 2.57W = 20

Simplify divide by 2

L + 1.285W = 10

L = (10 - 1.285W); for substitution:

Get the area equation:

Rectangle area + semicircle area

A = L * W + (.5*pi*(.5W) ^2)

A = LW + (1.57*.25W^2)

A = LW + .3925W^2

Replace L with (10-1.285W)

A = W(10-1.285W) + .3925W^2

A = -1.285W^2 + .3925W^2 + 10W

A = -.8925W^2 + 10W

Find W by finding the axis of symmetry of this equation a=-.8925, b=10

W = -10 / 2 * (-.8925)

W = -10 / -1.785

W = 5.60 is the width for max area

then we solve for the length

L = 10 - 1.285(5.60)

L = 10 – 7.20 = 2.8 ft is the length

Then, Check the perimeter

2(2.8) + 5.60 + 1.57(5.60) = 20ft

5.6 + 5.6 + 8.736 = 20ft

Rectangle: 2.8 by 5.60 has semicircle circumference 8.736 has a maximum area: (2.8*5.60) + (.5 * pi * 2.8 ^ 2)

=15.68 + 12.31

=28 sq/ft

A problem states: "There are 9 more children than parents in a room. There are 25 people in the room in all. How many children are there in the room?"

Let c represent the number of children.

Which expression represents the number of parents?

c−9
9−c
c⋅9
c + 9

Answers

C-9 because once you take away the children number, you will have the remaining adults

Answer: c-9

Step-by-step explanation: i did the quiz

The cartesian coordinates of a point in the xy-plane are (x, y) = (-3.84, -2.87) m. find the polar coordinates of this point.

Answers

We know from the signs of x and y that this point is in QIII. Thus, the angle as measured from the positive x-axis is also in QIII.
First, use the Pyth. Thm. to determine the length of the ray from the origin to this point: (-3.84)^2 + (-2.87)^2 = L^2; L = sqrt (22.98), or approx. 4.79. The angle is 0.64 radian + pi radians, or 3.78 radians (which, as you can verify, is in QIII.

Thus, the point (-3.84, -2.87) becomes (4.79, 3.78 rad) in polar coordinates.
Let me know if you need help with the trigonometry involved here.

What is the value of the expression 54.36 divided by 0.1

Answers

54.36 / 0.1 = 543.6 <==

George exercises 15 minutes a day, every day of the year. How many minutes a year does George exercise? Write and solve an equation to find the answer.

Answers

15 minutes 365 days
----------------- * --------------- = 5475 minutes/year
day 1 year

What symbols relate to the numbers 25 ? 35

Answers

The symbols that would relate the two would be 25 < 35

If there is a positive correlation between salary and education, then based on the table shown, which of the following careers requires the most education? a. accountant b. paralegal c. photographer d. surveyor

Answers

it is A. accountant because out of the options you gave me that one gets paid the most

Answer:

Option a. accountant.

Step-by-step explanation:

We have been given the positive correlation graph between salary and education

Positive correlation means a linear relationship between two that means if education increases salary increases.

We need to tell which among the given options requires most education the one which will have highest salary.

That means the Accountant among the given option requires most education.

Because he has highest salary among given four options.

find all sets of three consecutive even integers whose sum is greater than 102 and less than 116

Answers

so three consecutive integers 2k,2(k+1),2(k+2)
there sum will be
2k+2(k+1)+2(k+2)
2k+2k+2+2k+4
6k+6
so setting the inequality
102<6k+6<116
subtracting 6 from all sides
96<6k<110
16<k<18.3333
since k is an integer
the only integers between 16 and 18.3
are 17 and 18
so
when k=17
2(17),2(17+1),2(17+2)
34,36,38
when k=18
2(18),2(18+1),2(18+2)
36,38,40
so to check are soultion we substitute
34+36+38=108 which is between 102 and 116
36+38+40=114 which is between 102 and 116
so our soultion is correct
the final answer will be
{{36,38,40},{38,40,42}}

Help Dana find the sum 346 421 152
For numbers 13a-13d, select yes or no to tell Dana when to regroup

Answers

To add and get the sum
346
421
+152

We start on the ones place 6 + 1 + 2 = 9, the sum of the digits in the ones place is not up to 10, we will not regroup this ones place.

So, basically the answer to 13a is NO.
Since we are not able to regroup the ones place there is no regrouped tens to add, therefore the answer to 13b is also NO.

Next is the tens place, 4 +2 +5 = 11, the sum of the digits in the ones place is up to 10 so we regroup the tens place.

Thus, the answer to 13c is YES.

Since, we regrouped the ones place, we add the regrouped hundred, thus the answer to 13d is YES.

Finally, for the hundred place, 1 + 3 + 4 + 1 = 9

Therefore, the sum of
346
421
+ 152
is 919

A point P is 100m away from a vertical flag pole, which is 13m high. What is the angle of elevation to the top of the flagpole from P?

Answers

check the picture below.

make sure your calculator is in Degree mode, if you need the angle in degrees.

An airplane allows each passenger 36 kilograms of luggage. Carl has to lower the weight of his suitcase by 25% to stay within the limit. How much did the suitcase originally weight?

Answers

Let the original suitcase weight be x. This x will be reduced by multiplying it by (1.00-0.25), or 0.75. 0.75x = 36 kg. Solve for x.

Dividing both sides of this last equation by 0.75, we get x = 48.

Carl's suitcase originally weighed 48 lb. 25% of that is 12. x less 12 is 36 lb, which is acceptable to the airline.

courtlynn combines 7/8 cup sour cream with 1/2 cup cream cheese. she then divides the mixture between two bowls. how much mixture does courtlynn put in each bowl?

Answers

4/5 because 7/8+1/2=8/10 so half of 8/10 is 4/5 and half goes in to each bowl

its 14/8 because to divide you have to swich one fraction and then multiply

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