Mathematics College

Solve the equation for​ x, where x is restricted to the given interval.

Solve The Equation For X, Where X Is Restricted To The Given Interval.

Answers

Answer 1

Step-by-step explanation:

[tex]y = 3 \csc( \frac{x}{5} ) [/tex]

[tex] \frac{y}{3} = \csc( \frac{x}{5} ) [/tex]

Multiply by 5 on both sides.

[tex]5 \times \frac{y}{3} = \csc(x) [/tex]

Take the inverse of cosecant or arccsc of the function.

[tex]5 \: arccsc( \frac{y}{3}) = x[/tex]

Answer 2

The trigonometric equation for​ x, where x is restricted to the given interval is x = 5 * arccsc(y/5)

What is trigonometry?

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given

y = 3 CSC(x/5) for x in given domain

y/ 3 = CSC  (x/5)

CSC(x/5) = y/3

x/5 = arccsc(y/3)

x =  5* arccsc(y/3)

Therefore, "x = 5 * arccsc(y/5)" is the trigonometric formula when x is limited to the specified range.

Learn more about trigonometry here:

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Related Questions

find the mode, 3,1,9,3,1,2,3
{math}

Answers

3, it’s the number that appears the most

Box A contained 40 paperclips. Box B contained 23 paperclips. After Sally took an equal number of paperclips from each box, Box A then contained twice as many paperclips as Box B. How many paperclips did Sally take from each box?

Answers

Answer:

Step-by-step explanation:

Number of clips in box A = 40

Number of clips in box B = 23

If Sally took out 6 clips from each box

Remaining clips in box A = 40 - 6 = 34 which is twice of 17

Remaining clips in box B = 23 - 6 = 17

Answer:

Sally took 6 paperclips from each box

Step-by-step explanation:

Paper clips in Box A = 40

Paper clips in Box B  = 23

Let the equal number paperclips removed from each box = x

Number of clips in box A after taking 'x' clips = 40 -x

Number of clips in box B after taking 'x' clips = 23 -x

40 - x = 2*(23 -x)

40 - x = 2*23 - 2*x

40 -x = 46 - 2x  {Add 2x to both sides}

40 - x + 2x = 46          {Combine like terms}

40 + x = 46         {Subtract 40 form both sides }

x = 46 - 40

x = 6

Sally took 6 paperclips from each box

Now assume a 95% confidence level. Without performing any calculations, complete the sentence below. The margin of error for a 95% confidence level will be

Answers

Answer: greater than 0.3

Step-by-step explanation:

On edge

The margin of error for a 95% confidence level will be greater than 0.3.

What is a confidence interval?

A random population parameter is likely to be included in a confidence interval, which is a range of values that is limited by the statistic's mean. The confidence level is the percentage of probability, or certainty, that, after repeated random sample draws, the confidence interval would include the true population parameter.

Given:

A confidence level is 95%.

The formula to calculate the margin of error:

The margin of error = Z x S/√n.

Where S is the standard deviation and n is the sample size.

The corresponding z-score of the confidence level is 95%.

So, the margin of error will be always greater than 0.3.

Therefore, the margin of error will be always greater than 0.3.

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Which color check marks correctly match up the scenarios with their unit rates? *

Green
Red
Blue

Answers

Red is it your welcome also I’m not hay sure but It shows

the answer to 2x+56=

Answers

Answer:

It can't be simplified or added together because one is multiplied by x and the other is not

Step-by-step explanation:

What type of triangle is this if lengths of its sides are 37m, 24m, and 5m *​

Answers

Answer:

weird triangle

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

Scalene triangle: If the length of all the sides of triangle have  different measurements then it is scalene triangle

Give Brainliest for the correct Answer 50 points

Answers

Answer:

x-30

Step-by-step explanation:

Answer: 5(x-2)=40     5x-10 = 40      5x=50    x=10  

Step-by-step explanation:

^

a city has a population of 34000. the value k is 0.0305. what is the population of the city after 9 years
​

Answers

Answer:

6

Step-by-step explanation:      6 9 0

Robert bought an LED television set that is 32 inches long. The diagonal length
measures 40 inches. What is the width of the television screen?
Pythagorean

Answers

You can draw it out
Make a right triangle from the square

Diagonal length = hypothenuse
Use Pythagorean theorem as stated
a^2 + b^2 = c^2
32^2 + b^2 = 40^2
1024 + b^2 = 1600
b^2 = 576
Square root of 576 = 24

Solution: the width is 24 inches

What is the slope of the line that passes through the points (3, 2) and (−1,2)? Write your answer in the simplest form

Answers

Answer:

slope = 0  

Step-by-step explanation:

To find the slope of a line that passes between a pair of points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the points (3,2) and (-1,2) into the formula and simplify:

[tex]m = \frac{(2)-(2)}{(-1)-(3)} \\m = \frac{2-2}{1-3} \\m = \frac{0}{-2} \\m=0[/tex]

So, the slope is 0.

PLEASE HELP ME!! A: Given that the triangles are similar, find the length of side KL

Answers

Answer: KL = 7.5

Explanation: Use proportions
JK/KL = MN/NO
3/KL = 2/5
Let KL = x
Cross Multiply: 2x=15
Simplify: x = 7.5

Juan deposited $450 in an account that earned 7.5% simple interest.

- He did not make additional deposits and he didn't withdraw any money from the account.

What was the balance in Juan's investment account after 3 years?

Answers

Um 1782829.00 and 43 is the answer if actually isn’t because I just need the points your in collage good job

Explanation:

1.2694*u+e+ieiei=3938383

Answer:

$551.25

Step-by-step explanation:

$450 x 7.5% = 33.75

33.75 x 3 = 101.25

101.25 + 450 = 551.25

which angles are vertical to each other​

Answers

Answer:

You need to attach the picture of the angles

Answer:

right

Step-by-step explanation: because ones left and 1 right

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer: 3.1

Step-by-step explanation:

Answer:

i agree!!

Step-by-step explanation:

help lol i can’t do math and everything is due at midnight

Answers

140 degrees should be the correct answer

SOMEONE PLZZ HELP ME! THIS IS DUE TODAY (I WILL GIVE BRAINLIEST)

Answers

22x+50 > 105

22x + 50 - 50 > 105 - 50

22x > 55

x > 2.5

They will earn more than $105 after 2.5 years

Plssss helpppppp! 45 points!

Answers

Answer:

15 C

Step-by-step explanation:

C = 5/9( F - 32)

Let F = 59

C = 5/9( 59 -32)

Parentheses first

   = 5/9( 27)

   = 15

a hardware factory produces 3.6 •10^5 bolts in 2400 minutes. what is the factory rate of production in bolts per minute​

Answers

10^5=100,000
100,000*3.6
360,000
360,000/2400

I believe it’s 150 bolts per minute

what is the mean of this data set 8,2,5,12

Answers

Answer:

6.75

Step-by-step explanation:

Add up all the numbers in the data set :

8 + 2 + 5 + 12 = 27

Divide 27 by the total numbers in the data set :

27 ÷ 4 = 6.75

Therefore, the mean if the data set is 6.75

May I have some help with this please?

Answers

f(x) = |7m + 4| = 1

First equation by taking positive modules

7m + 4 = 1

7m = -3

m = -3/7 . Ans.

Second equation by taking negative modules

-7m - 4 = 1

-7m = 5

m = -5/7 . Ans.

∴ m = [ -5/7 U -3/7 ] Ans .

Please help









❤️❤️❤️❤️❤️❤️❤️❤️
Thanks besties

Answers

Answer:

62.33 degrees Fahrenheit.

Anytime bestie <3


What percent of the rectangle above is
shaded?

Answers

20%
Dony listen to the person above me, you are literally asking for a “percent” but the person above me gave a f r a c t i o n
I already studied about this
Pls mark me brainliest

A survey is being conducted to decide on how much time people spend watching sports on television. Tell whether the given sample is biased or unbiased. Explain your answers. (NOT A MULTIPLE CHOICE)

1. Every fifth person who enters Little Casesars Arena for a Red Wings game

2. Every tenth name in the phone.

Answers

Sampling bias occurs when some members of a population are systematically more likely to be selected in a sample than others. From this definition,

For sample 1, Every fifth person who enters Little Casesars Arena for a Red Wings game. This is not biased because no person is more likely to be selected than another

For sample 2, Every tenth name in the phone. This is also not biased

because no person is more likely to be selected than another

Calculate the area of the shape below.

Answers

Answer:

24 ft²

Step-by-step explanation:

1/2x12x4=24 ft²

How many cubes with side lengths of 1/4 cm does it take to fill the prism?

Answers

Answer:2 14

Step-by-step explanation:

9514 1404 393

Answer:

  135

Step-by-step explanation:

The prism is 9/4 cm = 9×(1/4 cm) = 9 cubes wide.

The prism is 3/4 cm = 3×(1/4 cm) = 3 cubes deep.

The prism is 5/4 cm = 5×(1/4 cm) = 5 cubes high.

The number of cubes that will fill the prism is ...

  9 × 3 × 5 = 135 . . . cubes to fill the prism

In 2010, the population of a town was 14,000 people. The population decreased at a rate of 10% per year. What will the population be in 2016? Round to the nearest whole number.

Answers

Answer:

to me I think it is 35555 good luck

Which of the following equations will produce the graph shown below?

A. x^2 = 8y
B. x^2= -8y
C. x-1/8y^2= 0
D. y= 1/2x^2

Answers

C. I think cause I have a Duda in that iam not smart but i think it’s c

Answer: The correct answer is C

x-1/8y^2=0

Step-by-step explanation: i took the test and got it right

At the pet fair, Darlene’s dog
weighed 5 times as many pounds
as Leah’s dog. Together, the dogs
weighed 60 pounds.
How many pounds does Leah’s
dog weigh?

Answers

Answer:

Darlene's dog weighs 10 pounds.

Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.

Hope this helps.

ACED PLEASE HELP I NEED THIS FAST.

Answers

Answer:

The Answer is B

Hope that helps


Find the volume of a cylinder that has a radius of 1/2and a height of 1.

Answers

Answer:

0.79

Step-by-step explanation:

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