for the function f, use compisition of functions to show that f^-1 is a given.
let f(x)=(1+x)/x show that f^-1(x)=1/x-1

[tex]\displaystyle\int~4t(5t^2-1)^6 dt \\\\[-0.35em] ~\dotfill\\\\ u=5t^2-1\implies \cfrac{du}{dt}=10t~\hspace{10em} \cfrac{du}{10t}=dt \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int~4t~u^6\cdot \cfrac{du}{10t}\implies \int~\cfrac{4t~u^6}{10t}\cdot du\implies \int~\cfrac{2~u^6}{5}du\implies \cfrac{2}{5}\int~u^6\cdot du \\\\\\ \cfrac{2}{5}\cdot \cfrac{u^7}{7}\implies \cfrac{2(5t^2-1)^7}{35}[/tex]

Answer:

there are cannot be another triangle with same side lengths but different angles. since all the sides are same thus all the angles will also be same.

Answer:

B

Step-by-step explanation:

45 items is not a reasonable number, as the suitcase itself probably weighs about 20 pounds, and the likeliness of each item weighing about 1/2 a pound is unreasonable.

Answer:

The answer is 31.

Step-by-step explanation:

Since Beau's suitcase weighs 40 pounds he packed at least 35 items. Anything less than 35 items couldn't be possible.

See attachment. I got it right on my quiz:)

Answer:

It is Statistical. Karissa would have to count how many boogers she has in her left nostril.

Step-by-step explanation:

.

The given question is not a statistical question.  So, option (B) is correct. Since this is not related to any other data and there is no variation with the previous data, this is not a statistical question.

The statistical question is a question that can be answered by collecting data and there will be a variation in the data used for calculating.

Given that " How many boogers does Karissa the orge have in her left nostril?"

This question does not need any collection of data. So, this is not a statistical question.

Therefore, option B is correct.

Learn more about the statistical question here:

https://brainly.com/question/12150562

#SPJ2

The triangle that must appear to be obtuse mmust have one of its angle to be greater than 90 but less than 180 degrees:

Obtuse triangles are triangles that has one of theor angles to greater than 90 degrees.

Most obtuse triangles has two acute angles (angles less than 90 degrees) and a obtuse angle (angles between  90 and 180 degrees)

Hence the triangle that must appear to be obtuse mmust have one of its angle to be greater than 90 but less than 180 degrees:

Learn more on obtuse triangle here: https://brainly.com/question/3250447

Answer:

$319.60

Step-by-step explanation:

Normal Game console cost : $399.50

Discount: %20 (0.20)

$399.50×0.20= $79.90

Total cost of discount $79.90

$399.50-$79.90= $319.60

New cost after Discount= $319.60

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The conjugate of given complex number is ~

[tex]\qquad \tt \dashrightarrow \: \overline{z} = - 12i[/tex]

Conjugate of a complex number is the same number with its imaginary part having opposite sign.

Eg. if z = a + i b

Then it's Conjugate = a - i b

Answer:

  (x, y) = (2 35/74, 2 25/74)

Step-by-step explanation:

The closest point on the line to the given point will be the point of intersection of the given line and a perpendicular through the given point.

__

A line perpendicular to ax+by+c=0 that goes through point (h, k) can be written as ...

  b(x-h) -a(y-k) = 0

For the given line and point, the perpendicular line will be ...

  7(x -2) +5(y -3) = 0

  7x +5y -29 = 0

Using the cross-multiplication method, we can find the solutions to the system of equations consisting of these two lines. It will be ...

  Δ = (-5)(5) -(7)(7) = -74

  Δx = (7)(-29) -(5)(-4) = -183

  Δy = (-4)(7) -(-29)(-5) = -173

  x = Δx/Δ = -183/-74 = 2 35/74 ≈ 2.4730

  y = Δy/Δ = -173/-74 = 2 25/74 ≈ 2.3378

__

For more on the cross multiplication method, you can read ...

https://brainly.com/question/26397343

Answer:

Mean - 7.4

Median - 8.5

Mode - 9

Step-by-step explanation:

Mean - add up all of the numbers = 74

then divided by the numbers of numbers (10 numbers) (74/10) = 7.4

Median - the middle number of the data set

Mode - the number most frequent

[tex]y=-6x+12\\\\\text{When}~ x = -1\\\\y=-6(-1)+12 = 6+12 = 18[/tex]

Answer:

78°

Step-by-step explanation:

the whole measure of a triangle =180° =3angles plus together

the 1st + 2nd angle = 90°+12°=102°

the 3rd angle = 180°-102°=78°

Answer:

12 m

Step-by-step explanation:

3 ⅔

= 3 + 2/3

= 9/3 + 2/3    { LCM = 3 }

= ( 9 + 2 ) / 3

= 11/3

In the diagram,

Length ( l )= x m

Breadth ( b ) = 3 ⅔ m = 11/3 m

Given that area of the rectangle = 44 m²

Formula : -

Area of the rectangle = lb

lb = 44

x * 11/3 = 44

x = ( 44 * 3 ) / 11

x = 4 * 3

x = 12 m

Therefore,

the missing length = 12 m

Answer:

ITS (B) 30

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

edge

Answer:

44.452

Step-by-step explanation:

Using the Pythagorean theorem you can use:

51^2 = 25^2 + w^2

2601 = 625 +w^2

w^2 = 1976

w = 44.452

Answer:

The width is 44.5in.

Step-by-step explanation:

25^2 + b^2 = 51^2

625 + b^2 =2601

b^2= 2601-625=1976

Square root it (1976)

=44.45= 44.5

Answer:

Step-by-step explanation:

To solve this problem, you need to determine the volume of the prism.

Volume of the prism formula:

[tex]\Longrightarrow: \sf{V=L*W*H}[/tex]

Multiply them all together.

[tex]\sf{8*15.2*5.8=\boxed{\sf{705.3}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

Option D, [tex]705.3\ cm^3[/tex]

Step-by-step explanation:

Step 1:  Determine the volume of a rectangular prism

[tex]V = l * w * h[/tex]

[tex]V = (15.2\ cm) * (8\ cm) * (5.8\ cm)[/tex]

[tex]V = 705.28\ cm^3[/tex]

Answer:  Option D, [tex]705.3\ cm^3[/tex]

Answer:

x=11 and t=6

Step-by-step explanation:

If ABC and KLM are approximately equal, 44 degrees=4x and 18 inches=3t.

44/4=11

18/3=6

Answer:

102cm^2 - hope this helps

Step-by-step explanation:

find the area of the rectangle first in the middle

which equals 6 x 13 = 78cm^2

then find the traingles on the side

(6 x 4) / 2 = 12

there are 2 traingles so it would be 12 + 12 = 24

so all together the area would be 78 + 24 = 102cm ^2

Answer:

59.55555555555556

Step-by-step explanation:

Hey there!

3(x + 19) - 25/5

= 3(15 + 19) - 25/5

= 3(15) + 3(19) - 25/5

= 45 + 57 - 25/5

= 45 + 57 - 5

= 102 - 5

= 97

OR

3(x + 19) - 25/5

= 3(15 + 19) - 25/5
= 3(34) - 25/5

= 102 - 25/5

= 102 - 5

= 97

97 = 97 ☑️

Therefore, your answer is: 97

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

In the question we have given an expression that is 3 ( x + 19 ) - 25/5 and value of x is equal to 15 .

And we are asked to find the value expression when value of x is 15 .

Solution : -

[tex] \longmapsto \: 3( x+ 19) - \cancel{\frac{25}{5} }[/tex]

Step 1 : Substituting value of x in given expression and cancelling 25 by 5 :

[tex] \longmapsto \: 3(15 + 19) - 5[/tex]

Step 2 : Solving parenthesis by adding 15 and 19 :

[tex] \longmapsto \: 3(34) - 5[/tex]

Step 3 : By multiplying 3 with 34, we get :

[tex] \longmapsto \: 102 - 5[/tex]

Step 4 : Subtracting 5 from 102 :

[tex] \longmapsto \: \red{ \boxed{ \frak{97}}}[/tex]

Answer:

the answer is 4 i hoped this helped

Step-by-step explanation:

Answer:

The quantity we sold more than the competitors is 161.

What are percentages?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

How much more did we sell?

Quantity sold more = percentage sold more x number sold by competitors

46% x 350

0.46 x 350=161.

Answer:

  A.  -3

Step-by-step explanation:

We recognize the given equation as being in point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

__

Comparing that to the given equation ...

  y -5 = -3(x -17)

we see that m = -3.

The slope of the line is -3.

This is the list of choices that accompany that question:

A) The number is greater than 2. ---> FALSE BECAUSE IT INCLUDES GREATER THAN 10, AND 10 IS THE LAST NUMBER OF THE SET.

B) The number is not divisible by 5. ----> FALSE BECAUSE 10 IS DIVISIBLE BY 5.

C) The number is even or less than 12. ---> THIS CAN BE RIGHT BECAUSE 1) ALL THE NUMBERS SHOWN ARE EITHER EVEN OR LESS THAN 12 AND THE DEFINITION, AND 2) THE DEFINITION DOES NOT INCLUDE A NUMBER OUT OF THE NUMBERS SHOWN.

D) The number is neither prime nor composite. ---> FALSE BECAUSE ANY NUMBER IS EITHER PRIME OR COMPOSITE.

E) The square root of the number is less than 3. ---> FALSE BECAUSE THE SQUARE ROOT OF 10 IS GREATER THAN 2.

Answer:

7

Step-by-step explanation:

since it's a right triangle we can use the pythagorean theorem.

hence, sqrt(25^2 - 24^2) = the answer = 7

make sure to ask if you need any further guidance.

Answer:

0.15 cubic meters

Step-by-step explanation:

Formula volume = π x radius² x height

Answer

πr2h

Step-by-step explanation:

What do 12y and 8y represent?  You can look up the formula for the volume of a cylinder pir^2h and plug in your dimensions.

Answer:

0

Step-by-step explanation:

x² + 26 = 0 ( subtract 26 from both sides )

x² = - 26 ( take square root of both sides )

x = ± [tex]\sqrt{-26}[/tex]

[tex]\sqrt{-26}[/tex] ← has no real solutions

Answer:

0

Step-by-step explanation:

Look above goofy, have a good day!

Answer:

How many players in the starting line up ???

If 1 then its 15 ways

If 2 then its 15 × 14 = ___

If 3 then its 15 × 14 × 13 = ___