find the exact value of the composite function show work​

Find The Exact Value Of The Composite Function Show Work

Answers

Answer 1

Answer:

[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]

Step-by-step explanation:

This function can be written as:

[tex]\frac{1}{cos(sin^{-1}(\frac{1}{2x})) }[/tex]

[tex]sin^{-1}(\frac{1}{2x})[/tex] means the angle whose sine is 1/(2x).  This implies that the denominator is the cosine of the angle whose sine is 1/(2x)

Think of a right triangle and consider the angle with this sine.  Then the opposite side has length 1 and the hypotenuse has length  2x.  The Pythagorean theorem then implies that the adjacent side is

[tex]\sqrt{4x^{2} -1}[/tex]

The cosine of the angle is adjacent over hypotenuse, so the cosine is

[tex]\frac{\sqrt{4x^{2} -1}}{2x}[/tex]

The secant is the inverse of the cosine, so the answer is

[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]


Related Questions

In September, Louise planted a tree. Every month, the tree Louise planted grew 2 inches. What would the constant of proportionality of the line be?​

Answers

Answer:

1/2

Step-by-step explanation:

Tree grow 2 inches per month

Let :

Month = m ; height increase, h

m α h

m = kh

k = proportionality constant

Where ; m = 1 ; h = 2

1 = 2k

1/2 = 2k/ 2

k = 1/2

Answer:1/2

Step-by-step explanation:

Tree grow 2 inches per month

Let :

Month = m ; height increase, h

m α h

m = kh

k = proportionality constant

Where ; m = 1 ; h = 2

1 = 2k

1/2 = 2k/ 2

k = 1/2

yes or no ? i need help

Answers

Answer:

Yes it is linear

Step-by-step explanation:

PLease help
WILL GIVE BRAINLIEST

Answers

Answer:

41.472 m²

8.449m²

Step-by-step explanation:

c) scale facot is 7.2/5 = 1.44

the square scale factor is 1.44^2 = 2.0736

times 20 by this to get the area

2.0737x 20 = 41.472 m²

d) 2.8/6 = SF = 0.467

0.2178 x 38.8 = 8.449m²

x(x+7)=4x+10
then needs to get the normal form of the equation
x= ?, x=?

Answers

Answer:

x = - 5, x = 2

Step-by-step explanation:

Given

x(x + 7) = 4x + 10 ← distribute left side

x² + 7x = 4x + 10 ( subtract 4x + 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

please help me with this i need it

Answers

Step-by-step explanation:

25.74- 8.58=x/4.29

which of the following equations is an example inverse variation between the variables X and Y?

A.
[tex]y = \frac{x}{8} [/tex]
B.
[tex]y = \frac{8}{x} [/tex]

C.
[tex]y =8x[/tex]
D.
[tex]y = x + 8[/tex]

Answers

Answer:

B y=3/x From the given options option B is  showing  inverse variation between the variables x and y.

Answer:b

Step-by-step explanation:

Suggestions ???????????

Answers

the first blank should be 715

Rodney can wash 24 windows in an hour how many windows can he wash in 1/8 of an hour

Answers

Answer:

3

Step-by-step explanation:

24x (1/8) = 3

hope this helps

Luke cut down a tree that was 28.2 feet tall. Then he cut the tree into 6 equal pieces to take it away.

What is the length of each piece?

Answers

Answer:

4.7 feet

Step-by-step explanation:

28.2 divided by 6 is 4.7

4.7

28.2/6 = 4.7
I hope that answers your question

A function is a mathematical rule that.....
A. Has one or more exponential expressions
B. Can be graphed as a straight line
C. Sends every input to only one output
D. Sends every output to only one input

Answers

Answer:

B

Step-by-step explanation:

A function can be graphed as a straight line, as long as it isn't vertical.

An object is projected vertically upwards from ground level. When asked a question about its maximum height, you should use: A) S=0 B) U=0 C) V=0 D) A=0

Answers

Answer:

[tex]V = 0[/tex]

Step-by-step explanation:

Given

At maximum height

Required

Select which of the options is true

At the maximum height of an upward projectile, the final velocity (v) is always equal to 0.

i.e.

[tex]V = 0[/tex]

Other parameters such as initial velocity (u), acceleration (a or g) are not 0.

Hence:

(c) answers the question


In a bag, there are 15 tickets bearing the numbers 1 to 15. One ticket is drawn at
random from the bag. Find the probability that the ticket drawn bears a number
multiple of 3.​

Answers

Answer:

1 in 5

Step-by-step explanation:

Multiples of 3 from 1 to 15:

3, 6, 9, 12, 15

Find the lowest multiple of 3.

Formula for probability:

Probability number is drawn/total

3/15

Convert it to simplest form.

1/5

I am not so sure about this, but I have seen people do this, hope I'm not wrong.

Complete the table of values for y=3x - 4

Answers

Answer:

y=3x−4

Find the x-intercepts.

x-intercept(s):

(4/3,0)

Find the y-intercepts.

y-intercept(s):

(0,−4)

List the intersections.

x-intercept(s):

(4/3,0)

y-intercept(s):

(0,−4)

Step-by-step explanation:

Hope it is helpful.......

The completed table of values for the equation y = 3x - 4 includes the following points: (-2, -10), (-1, -7), (0, -4), (1, -1), and (2, 2). These points represent the corresponding values of y when different values of x are substituted into the equation.

To complete the table of values for y = 3x - 4, we can assign different values to x and calculate the corresponding values of y. Let's choose a few values for x and find the corresponding y-values:

x                y = 3x - 4

-2                  -10

-1                   -7

0                   -4

1                    -1

2                     2

By substituting these x-values into the equation y = 3x - 4, we can calculate the corresponding y-values. Therefore, the completed table of values for the given equation is:

x                  y = 3x - 4

-2                          -10

-1                          -7

0                         -4

1                          -1

2                           2

These values represent points on the graph of the equation y = 3x - 4.

To know more about equation:

https://brainly.com/question/29657983


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Find the percent error in this situation:
Estimated value: 231
Actual value: 215

0.074%

7.4%

0.069%

6.9%

Answers

Answer:

7.4 % is percent error

Step-by-step explanation:

https://brainly.com/question/21689164

The percent of error is 7.4%. The correct option is B.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Estimated value: 231

Actual value: 215

To find the percentage:

First, the value,

= 231 - 215

= 16

Now,

let n be the percentage.

So,

16 = n x 215/100

n = 1600/215

n = 7.4%

Therefore, 7.4% is the error.

To learn more about the percentage;

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2. Jeremy drinks 2 pints of milk every 3 days. How much milk would
Jeremy drink in 60 days? *

Answers

Answer: 40

Step-by-step explanation: 60/3= 20    20x3= 60    20x2=40

100%
The distance between Boomtown and Dayville on a map is 13.0 cm. The scale of the map is 10 cm = 25 km
Approximately how far apart are Boomtown and Dayville?

Answers

Answer:

32.5

Step-by-step explanation:

We can set this problem up as a proportion:

[tex]\frac{10}{25} = \frac{13}{x}[/tex] In doing this, we find the exact distance from Boomtown to Dayville. Another way to do it is by dividing 25 by 10, to get 2.5, then multiplying 2.5 by 13 to get 32.5

What is JL brainliest for answer

Answers

Answer:

JL = 12.5

Step-by-step explanation:

[tex] In\: \triangle JKL, KM\perp JL[/tex]

Therefore, by geometric mean property:

[tex] KM^2 = JM\times ML[/tex]

[tex] 6^2 = 8\times ML[/tex]

[tex] 36 = 8\times ML[/tex]

[tex] \frac{36}{8} = ML[/tex]

[tex]ML= 4.5 [/tex]

JL = JM +ML

JL = 8 + 4.5

JL = 12.5

4. JKLM is a parallelogram. Find JM.
J
к
8x + 4
4x + 20
M
L

Answers

Answer:

36

Step-by-step explanation:

8x + 4 = 4x + 20

8x - 4x = 20 - 4

4x = 16 divide both sides by 4

x = 4 and JM = 8x + 4 replace x with 4

8×4 + 4 = 36

Answer:

36

Step-by-step explanation:

8x + 4 = 4x + 20 ( being opposite sides of parallelogram)

8x - 4x = 20 - 4

4x = 16

x = 16 / 4

x = 4

JM = 8x + 4

=8 * 4 + 4

= 32 + 4

= 36

Hope it will help :)


Using the picture above, find the value ofr. Round to the nearest tenth plssssi need helpppppp

Answers

Answer:

11.4

Step-by-step explanation:

Since this triangle is a right triangle, we can solve using SOHCAHTOA.

Our angle is 25 degrees and the given hypotenuse length is 27. So, the best trigonometry equation to use would be sine, since it includes the hypotenuse and the opposite side, which is the r length that we are looking for.

Through SOHCAHTOA, sin 25° = [tex]\frac{opp}{hyp}[/tex]

sin 25° = [tex]\frac{r}{27}[/tex]

r = 27 (sin 25°)

Using a calculator, 27 (sin 25°) ≈ 11.4

Triangle Sum Practice - Digital
Find the value of x, and then use that value to determine each angle measure of the triangle.

Answers

X=8, we know all the inside angles have to equal 180 then solve for x. JKL= 60, KLJ=24, LJK=96. So 60+24+96=180

Please help. It would hep a lot

Answers

Answer:

a) The rate of how much rain falls each hour.

b) The y-int in this is (0,0) but which means how much inches of rain there wee before it started raining. (doesn't make sense but that's how it works lol)

c) 4.8 inches.

3/5 x 8 = 4.8 inch

Step-by-step explanation:

hi please help i’ll give brainliest if you give a correct answer and show your work!

Answers

Answer:

A: 4.4    B: 0.875

Step-by-step explanation:

22/5=4.4. We know this because 22/5 simplified is 4 2/5, which converted to a decimal is 4.4.

7/8=0.875. We know this because 7/8 converted to a decimal is 0.875.

Hich pairs of fractions include a fraction equivalent to 12 and a fraction equivalent to 25? Select each correct answer. 510 and 48 13 and 412 510 and 410 48 and 410

Answers

Answer:

4/8 and 4/10

Step-by-step explanation:

Required

Select which option is equivalent to 1/2 and 2/5

Option (a): 5/10 and 4/8

Simplify 5/10

[tex]5/10 = 1/2[/tex]

Simplify 4/8

[tex]4/8 = 1/2[/tex]

This is not true

Option (b): 1/3 and 4/12

1/3 is not equivalent to 1/2 or 2/5.

So, this is not true

Option (c): 4/12 and 5/10

Simplify 4/12

[tex]4/12 = 1/3[/tex]

1/3 is not equivalent to 1/2 or 2/5.

So, this is not true

Option (d): 4/8 and 4/10

Simplify 4/8

[tex]4/8 = 1/2[/tex]

Simplify 4/10

[tex]4/10 = 2/5[/tex]

Hence, (d) is true

0.000009 in scientific notation.

Answers

9x10^-6 because it’s 6 units to the left.

Answer:

9^-6

Step-by-step explanation:

Easy 30 points!!!! Find the measurement indicated in each parallelogram.

Answers

The measure of angle W is 77 degrees.
The answer is 77 degrees, I hope that helps:))

The given polygon is a right, scalene triangle. Use a congruent triangle to form a quadrilateral. A scalene triangle. The side lengths are 5 and 9, and the hypotenuse length is unknown. Imagine using two of these triangles to construct a figure. What are the characteristics of the figure? Select all that apply.


It’s a rectangle.

Opposite sides are congruent.

All sides are congruent.

Opposite sides are parallel.

All angles are right angles.

Answers

Answer:

Sorry I know that im late responding but better late then never

Step-by-step explanation:

A: It’s a rectangle.

B: Opposite sides are congruent.

D: Opposite sides are parallel.

E: All angles are right angles.

In shorter words the answer is

A, B, D, E.

You are welcome :D

The characteristics of Quadrilateral

It’s a rectangle.Opposite sides are congruent.Opposite sides are parallel.All angles are right angles.

What are Properties of Rectangle?A quadrilateral is a rectangle.The two opposite sides are parallel and equal.Each inside angle measures 90 degrees.The total of all interior angles is 360 degrees.The diagonals cut each other in half.

Given:

The hypotenuse can be act as diagonal of Quadrilateral.

So, The side lengths are 5 and 9 then the other two sides will have same measurement.

This shows that the opposite side of the quadrilateral are equal.

So, the characteristics of Quadrilateral

It’s a rectangle.

Opposite sides are congruent.

Opposite sides are parallel.

All angles are right angles.

Learn more about Properties of Rectangle here:

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help me ..... im stuck here​

Answers

the answer is (3p-5pt)/12

remove parenthesis but the terms are connected.

10 / 16 = n / 19
round to the nearest 100th if needed

Answers

Answer:

exact form is 95/8 decimal form 11.875 and mixed number form n= 11 7/8

Which of the following figures does not have a line of symmetry?

Answers

A is the answer.

All the figures have a line of symmetry, besides A.

Answer:

it should be C

When Martin graduates college, he is gifted $1,200 and puts the money into a savings account that earns 2.2% annual interest. How much money will Martin have in 2 years? How much money will Martin have in 5 years?

Answers

Answer:

2 years = 1252.80 5 years =1332

Step-by-step explanation:

1,200 x 2.2% = 26.4

26.40 x 2 = 52.80

1200 + 52.80 = 1252.80

26.40 x 5 =132

1200 + 132 =1332

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