Which pair of functions are inverses of each other?

9514 1404 393

Answer:

  75 in^2

Step-by-step explanation:

The central vertical rectangle (including "ears") has dimensions

  3 in wide by (9+2+2) = 13 in tall

Its area is

  A = LW = (3 in)(13 in) = 39 in^2

__

The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is

  A = LW = (2 in)(9 in) = 18 in^2

__

The total net area is the sum of the areas of the parts:

  left rectangle + central rectangle + right rectangle

  = 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net

[tex] {a}^{3}. {b}^{2} [/tex]

:D

Explanation:

We have three copies of 'a' multiplied, so that's why the exponent for 'a' is 3.

Similarly, the b^2 means we have b*b or two copies of b multiplied together.

Answer:

[tex]S(n-1)=2^{n-2}[/tex]

Step-by-step explanation:

Given that,

The value of [tex]S_n=2^{n-1}[/tex]

We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,

[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]

Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].

Answer: A

Step-by-step explanation:

Answer:

1350 km yw!

Step-by-step explanation:

Answer:

Is this the full question?

Answer:

Without knowing anything else about the problem, the shaded part looks like the cross-sectional area.

the table rewritten

2-10

4-20

6-30

10-50

Answer:

2-----10

4-----20

6-----30

10-----50

Step-by-step explanation:

10 * 5 = 50

Answer:

36

Step-by-step explanation:

6r + 6 - 4s

r = 7

s = 3

6(7) + 6 - 4(3)

42 + 6 - 12

(remember PEMDAS, adding/subtracting left to right)

48 - 12 = 36

therefore the answer is 36

hope this helps ! :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{6r + 6 - 4s}[/tex]

[tex]\large\text{If r = 7 & s = 3, then SUBSTITUTE it into the EQUATION}[/tex]

[tex]\large\textsf{6(\underline{7}) + 6 - 4(\underline{3})}[/tex]

[tex]\large\textsf{6(7) = \bf 42}[/tex]

[tex]\large\textsf{\bf 42}\large\textsf{ + 6 - 4(3)}[/tex]

[tex]\large\textsf{42 + 6 = \bf 48}[/tex]

[tex]\large\text{\bf 48}\large\text{ - 4(3)}[/tex]

[tex]\large\textsf{4(3) = \bf 12}[/tex]

[tex]\large\textsf{48 - \bf 12}[/tex]

[tex]\large\textsf{= \bf 36}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf 36}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

4π mi²

Step-by-step explanation:

s = (∅/360) * πr²

s = (135/360) * π(4²)

s = (135/360)(16) * π

s = 4π mi²

Answer:

a. AA Similarity Postulate

Step-by-step explanation:

the AA Similarity Postulate says that if two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.

AB and ED are parallel, so

Answer:

C) 4

Step-by-step explanation:

By definition, cosecant (csc) is the reciprocal of sine (sin). The reciprocal of 1/4 is equal to C) 4.

Answer:

60%

Step-by-step explanation:

Because 3 ÷ 5 = 60% Hope that helps!

Answer:

"None of the answers are correct."

Step-by-step explanation:

The formula for Area given the circumference is A = [tex]\frac{C^{2} }{4\pi }[/tex]

[tex]\frac{26^{2} }{4\pi } = 53.79437[/tex]

So none of the above are correct

Answer:

-3

Step-by-step explanation:

Answer:

The function f(x) is graphed below.

Use the graph of the function to find, f(-6).

A. -3

B. -1

C. 1

D. 3

Step-by-step explanation:

The function f(x) is graphed below.

Use the graph of the function to find, f(-6).

A. -3

B. -1

C. 1

D. 3

answer -3

Answer:

B. x^2 + 1

Step-by-step explanation:

Because squaring the value of 1 does not change its value, the equation would function the same way the original equation if x was the only value squared.

Answer:

I believe it is 29 cans of paint right?

Hope this helps

The technology had the biggest impact on the development of the cell theory is microscope. Hence, option C is correct.

The fundamental units of all living organisms are cells. There are many billions of cells in the human body. They give the body structure, absorb nutrients from meals, turn those into energy and perform certain tasks. Additionally, cells have the ability to replicate themselves and contain the body's genetic material.

Each component of a cell has a different purpose. These components include organelles, which are specialized structures that carry out specific functions for the cell.

A cell's nucleus acts as its command center, giving instructions on how to develop, develop, divide, or die. The cell's genetic material, DNA (deoxyribonucleic acid), is also stored there. The envelope, which encircles the nucleus and divides it off from the rest of the cell, shields the DNA and serves as a barrier.

To know more about Cell:

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There are a few you can choose from:

Statistics and probability

Geometry

Proofs

Triangles

Circles

Numerical sequences

Number Theory

etc.

Answer:

Position of top rail of boat after increasing water level = 1 feet out of water

Step-by-step explanation:

Given:

Position of top rail of boat = 4 feet out of the water

Water level increases = 3 feet

Find:

Position of top rail of boat after increasing water level

Computation:

Position of top rail of boat after increasing water level = Position of top rail of boat - Water level increases

Position of top rail of boat after increasing water level = 4 - 3

Position of top rail of boat after increasing water level = 1 feet out of water

Answer:

(62.66 ; 67.34)

Step-by-step explanation:

Given the data:

86 28 34 99 77 49 50 43 34 70 42 90 87 68 67 72 87 94 47 76

Using a calculator :

Sample mean, xbar = 65

Sample. Standard deviation s = 22.35

Confidence interval :

Xbar ± standard Error

Standard Error = Tcritical * s/√n

TCritical at 95%, df = 19 = 2.093

Standard Error = 2.093 * (22.35/√20) = 2.339

Lower boundary = 65 - 2.339 = 62.661

Upper boundary = 65 + 2.339 = 67.339

(62.661 ; 67.339)

(62.66 ; 67.34)

Answer:

1 = 61°

2 = 119°

3 = 61°

4 = 119°

5 = 119°

6 = 61°

7 = 119°

Step-by-step explanation:

∠1 and 61° are corresponding angles, therefore, they would be the same angle; ∠1 = 61°.

∠2 and 61° are supplementary angles, therefore, ∠2 would be 119°.

∠3 and ∠1 are vertical angles, therefore, ∠3 = 61°.

∠4 and ∠3 are supplementary angles, therefore, ∠4 would be 119°.

∠5 and 61° are supplementary angles, therefore, ∠5 would be 119°.

∠6 and ∠1 are alternate exterior angles, therefore, ∠6 would be 61°.

∠7 and ∠6 are supplementary angles, therefore, ∠7 would be 119°.

Step-by-step explanation:

what is the formula for the whole surface area of a sphere ?

[tex]a = 4 \times \pi \times {r}^{2} [/tex]

that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.

but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.

in radians the arc length of that angle segment on the "equator" of the sphere

s = r×Theta

and the whole equator circumference is

c = 2×pi×r

so, the Theta'th part is then

r×Theta / 2×pi×r = Theta / 2×pi

we only need that part of the whole sphere surface area, so the formula would look like

[tex]lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)[/tex]

=>

[tex]lune = theta \times 2 \times {r}^{2} [/tex]

Answer:

9.54 feet

Step-by-step explanation:

Using Pythagoras rule :

Length of ramp = 10 feets = hypotenus

Hypotenus² = opposite² - adjacent²

d² = 10² - 3²

d² = 100 - 9

d² = 91

d = √91

d = 9.5393920

d = 9.54 feets

Answer:

Answer:

Volume of cylinder =πr²h=π×4²×5=80π m³

=251.2m³

Volume of cuboid=l*b*h=7*3*2=42in³

Volume of cone =(⅓πr²h)+(⅓πr²h)⅓π×(6/2)²(12+8)=60πft³=188.4ft³

Answer:

The total length of fencing that Bethany will need is 21.5 feet.

Step-by-step explanation:

Since Bethany is making a rectangular fenced- in area for her rabbit in her yard, and the area measures 4 3/4 feet wide by 2 yards long, to determine what's the total length of fencing that Bethany will need in feet the following calculation must be performed:

1 yard = 3 feet

2 yards = 6 feet

3/4 = 0.75

4.75 x 2 + 6 x 2 = X

9.5 + 12 = X

21.5 = X

Therefore, the total length of fencing that Bethany will need is 21.5 feet.

Answer: 3

Step-by-step explanation:

Numbers in least to greatest

0,3,5 middle is 3

Answer:

The multiplicative inverse of 10/7 is 7/10.

Step-by-step explanation:

have a good day :)

Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.

The next steps show you how to construct the bisector of the angle from a ruler and a compass.

Finally, you have the bisector of the angle that is represented by the green line.

Learn more about the bisector of the angle here:

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