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3 years ago

What is the domain of the relation y = arccscx?

Mathematics

1 answer:

Stella [2.4K]3 years ago

5 0

Answer:

$y=arc\csc x$

Step-by-step explanation:

The given function is $y=arc\csc x$ .

The domain refers to all values of x for which this function is defined.

Recall that: the domain of $y=arc \sin (x)$ is $-1\le x\le1$

And we know $y=arc\csc x$ is the reciprocal of $y=arc \sin (x)$ .

Therefore the complement of the domain of $y=arc \sin (x)$ which is $(-\infty,-1]\cup [1,+\infty)$ is the domain of $y=arc\csc x$

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What is the slope of the line that passes through the pair of points? (5,2) and (7,8) the answers are 2/3,-2/3,3/2 or -3/2

Mice21 [21]

Answer: The slope is: "3" ; which does not appear among the answer choices given.
______________________________________________

The slope, "m" is calculated as follows:
___________________________________
Given two coordinates on a line;

m = (y₂ − y₁) / (x₂ − x₁) ;
__________________________________________

We are given the following 2 (TWO) coordinates:
__________________________________________
1) (5,2) ; which is: (x₁ ,y₁) ; so x₁ = 5 ; y₁ = 2 ; AND:

2) (7,8); which is: (x₂ ,y₂) ; so x₂ = 7; y₂ = 8 ;
_____________________________________________
So; m = (y₂ − y₁) / (x₂ − x₁) = (8−2) /.(7−5) = 6/2 = 3 .

m = 3. The slope is: 3 ; which does not appear among the answer choices given.
______________________________________________
Alternately,
______________________________________________
We are given the following 2 (TWO) coordinates:
__________________________________________
1) (7,8) ; which is: (x₁ ,y₁) ; so x₁ = 7 ; y₁ = 8 ; AND:

2) (5,2); which is: (x₂ ,y₂) ; so x₂ = 5; y₂ = 2 ;
______________________________________________
So; m = (y₂ − y₁) / (x₂ − x₁) = (2−8) / (5−7) = -6/-2 = 3 .

m = 3. The slope is 3 ; which does not appear among the answer choices given.
________________________________________________

6 0

3 years ago

Can someone please help!

vekshin1

Answer:

Step-by-step explanation:

Area of a Triangle = Base * Height * 1/2

Base = 5

Height = 4.33

Area of a Triangle = 5 * 4.33 * 1/2

Area of a Triangle = 10.825

There are four triangles.

Surface Area = Area of a Triangle * Number of Triangles

Surface Area = 10.825 * 4

Surface Area = 43.3cm²

7 0

3 years ago

The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of peopl

koban [17]

Answer:

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

(0.3583 , 0.4579)

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 517

Given data Suppose a sample of 517 suspected criminals is drawn. Of these people, 211 were captured.

'x' =211

The sample proportion

$p^{-} = \frac{x}{n} = \frac{211}{517} =0.4081$

$q^{-} = 1-p^{-} = 1- 0.4081 = 0.5919$

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

$(p^{-} - Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} )}{n} } , p^{-} + Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} }{n} } )$

$(0.4081 - 2.326 \sqrt{\frac{0.4081 (0.5919 )}{517} } , 0.4081+ 2.326\sqrt{\frac{0.4081(0.5919 }{517} } )$

(0.4081-0.0498 , 0.4081 +0.0498)

(0.3583 , 0.4579)

Conclusion:-

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

(0.3583 , 0.4579)

7 0

3 years ago

Write 0.28 as a fraction in simplest form.

Usimov [2.4K]

7/25

First thing you want to do is put it over 100

28/100

Now divide by 4

28÷4=7

100÷4=25

6 0

3 years ago

Read 2 more answers

Please help, thank you :)

BARSIC [14]

Answer:

Step-by-step explanation:

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8 0

2 years ago