The logarithmic expression [tex]log_{b}(\frac{1}{b^{-b}} )[/tex] where b > 0, is equal to

a) [tex]b^{-b}[/tex]

b) [tex]b^{b}[/tex]

c) [tex]-b[/tex]

d) [tex]b[/tex]

Step-by-step explanation:

we have a right-angled triangle, that is "hovering" 1.61 m above the ground.

the Hypotenuse (the side opposite of the 90 degree angle) is the line of sight from the eye to the top of the skyscraper.

one leg is the height of the skyscraper (minus the 1.61 m).

the other leg is the ground distance from Jacob to the skyscraper (281 m).

we know already 2 angles : the 90° angle between the ground distance and the skyscraper height. and the 25° between the ground distance and the line of sight.

and as we know that the sum of all angles in a triangle is always 180°, we know that the third angle (between the line of sight and the skyscraper height) is

180 - 90 - 25 = 65°

now we can use the law of sines

a/sin(A) = b/sin(B) = c/sin(C)

(the ratio between a side and its opposing angle)

to get all missing side lengths.

the 25° angle is opposite of the skyscraper height, and the 65° angle is opposite of the ground distance (the only side length we know so far).

so,

height/sin(25) = 281/sin(65)

height = 281 × sin(25)/sin(65) = 131.0324519... m

to get the full height of the skyscraper, we need to add the 1.61 m that the described triangle was "hovering" above ground.

therefore, the height of the skyscraper is

131.0324519... + 1.61 = 132.6424519... ≈ 132.6 m

Answer:

The area of the large rectangle = the sum of the areas of the three smaller rectangles

areas of the smaller rectangles are : 2a, 3a, and 4a respectively

Therefore the area of the lage rectangle = 2a + 3a + 4a

The sum of the area of all the rectangles will be 2a + 3a + 4a.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

The dimensions of the rectangle are 2 by a, 3 by a, and 4 by a.

The area first rectangle is given as,

⇒ 2 × a

⇒ 2a

The area second rectangle is given as,

⇒ 3 × a

⇒ 3a

The area third rectangle is given as,

⇒ 4 × a

⇒ 4a

The total area of the rectangle will be given as,

A = 2a + 3a + 4a

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

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Answer:

Y-intercept: (0, -10)

X-intercepts: (5,0), (1,0)

Axis of symmetry: (3,0)

Step-by-step explanation:

You can tell what the y-intercept is by looking at the function. At the end there is a “-10”, which indicates that it’s the y-intercept.

There are many ways to find x-intercepts. You can factor the function, use the quadratic formula, or complete the square.

By factoring it, you get

-2(x-5)(x-1)=0

If one part of it equals zero, than the whole function equals zero.

So it can be split up like this

(x-5)=0

(x-1)=0

So...

x=5 and x=1 are the the zeros or (5,0) and (1,0)

Finally, you convert the function from standard form to vertex form. By doing -b/2a, you can find the x-coordinate of the vertex, which is the axis of symmetry. The answer is 3 or (3,0) because -12/2(-2)= 3.

There are 3 right triangles in this picture, and they are all mutually similar.

• the smallest triangle has legs 4 and y, and hypotenuse z

• the middle one has legs y and 16, and hypotenuse x

• the largest one has legs z and x, and hypotenuse 16 + 4 = 20

Note the order in which I've listed the sides (shortest to longest). Because these triangles are similar, the corresponding sides occur in a fixed ratio. In particular, we have

4/y = y/16 = z/x … (ratios of each side of the smallest and middle triangles)

4/z = y/x = z/20 … (ratios of the sides of the smallest and largest triangles)

y/z = 16/x = x/20 … (ratios of the sides of the middle and largest triangles)

We just want to find x, which we can do easily with the last equality,

16/x = x/20

Solve for x :

20 • 16/x = 20 • x/20

320/x = x

x • 320/x = x • x

320 = x²

⇒   x = √320 = √(64 • 5) = 8√5

Answer:

12.0

Step-by-step explanation:

Answer:

452.4

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

two angles are the same and one side is the same

Answer:

increasing the area of their contact

Patrick is correct, since the two parts of the statement are equal.

From the question,

Patrick said that the product of any number and 4 is always double the product of that number and 2. We are to investigate if Patrick is correct.

First, let the number be x,

From the first part of the statement

The product of any number and 4

That is,

4 × x = 4x

And

The second part of the statement,

double the product of that number and 2

That is,

2(x × 2) = 2(2x)

Now, we will investigate if

4x = 2(2x)

Expand the right hand side of the equation

That is,

4x = 2 × 2x  

Then, we get

4x = 4x

Since the two parts of the statement are equal, then Patrick is correct.

Hence, Patrick is correct, since the two parts of the statement are equal.

Learn more here: https://brainly.com/question/14176303

(6, 11)

hope this helps!

Answer:

y = 5x + 2

Step-by-step explanation:

Given the equation 5x + 2

Plug in 0

y = 5(0) + 2

y = 2

(0,2)

Given the equation 5x + 2

Plug in 1

y = 5(1) + 2

y = 7

(1,7)

Answer:

Since both terms are perfect cubes, factor using the sum of cubes formula,

a³+b³=(a+b)(a²-ab+b²) where

a=n and b=8

(n+8)(n²-8n+64)

Answer

(n+8)(n²-8n+64)

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Carryonlearing

Answer:

Step-by-step explanation:

The only one that has a chance of being correct is D. That's because the first term is correct and you have to assume that the second one is as well.

cubrt(512) = 8

The first term is (n + 8)

The second term is (n^2 - 8*n + 8^2) = n^2 - 8n + 64

All the other answers have the wrong first term

A: it should be n + 8 not n - 8

B and C are both wrong because the cube root of 512 is 8 not 4.

Answer:

21 = 10 + 5.5h

Step-by-step explanation:

Total cost = initial cost + hourly cost

21 = 10 + hourly cost

hourly cost = 5.5 per hour, or 5.5 * h as we add 5.5 for each hour

21 = 10 + 5.5h

Answer:

Step-by-step explanation:

$10 + $5.50h ≤ $21

Let h stand for the hours the canoe is rented.

Fixed cost = $10, regardless of h.

$5.50h for the cost of n hours of rental.

Total cost = $10 + $5.50h

The total cannot exceed $21, legally.  

So we should write:

$10 + $5.50h ≤ $21  

If $10 + $5.50h ≥ $21  then ║║║║║║║

Answer:

1.7m

Step-by-step explanation:

Given that 'm' was the waiting time before the outbreak

After the outbreak, waiting time increased by 70%.

This implies that :

70% of m increase

m + 70% of m

m + 70/100 of m

m + ( 70÷100 ) × m

m + 0.7m

= 1.7m

Step-by-step explanation:

Answer:

207

Step-by-step explanation:

Answer:

3.2t -2.4

Step-by-step explanation:

Combine like terms then solve (-1.9t +5.1t)+(-3.6+1.2)

Answer:

  72 minutes

Step-by-step explanation:

The sum of the rates of work in rooms per hour is ...

  Jill's rate + Jim's rate

  = (1/2 room/hour) +(1/3 room/hour) = (3/6 +2/6 room/hour) = 5/6 room/hour

__

Then the combined rate in hours per room is ...

  1/(5/6 room/hour) = 6/5 hours/room = (6/5 hours/room)(60 minutes/hour)

  = 72 minutes per room

Jill and Jim can paint the room in 72 minutes when they work together.

Answer:

-4

Step-by-step explanation:

xy-y = ?

(5)(-1)-(-1) = ?

-5 + 1 = -4

Hope that helps

The average speed of the airplane which travels the given distance and time is 400mph.

Speed is simply defined as distance traveled per unit of time. It is the change of position of a moving object per unit of time.

It is expressed as;

s = distance / time = d / t

Given the data in the question;

To determine the average speed of the airplane, we substitute our given values into the expression above.

s = d / t

s = 1000mi / 2.5hrs

s = 400mph

Therefore, the average speed of the airplane which travels the given distance and time is 400mph.

Learn more about Speed and Velocity here: https://brainly.com/question/10566304

Answer:

$26.32

Step-by-step explanation:

0.94x28 = 26.32

(Meeting character limit)

Answer:7

Step-by-step explanation:range is highest number subtracted by lowest

Answer:

17

Step-by-step explanation:

The formula for range is max-min.

The max is 91 and the min is 74

91-74=17

y=8x+b, b being any number, is parallel to y=8x+4.

For example:

y=8x+2

y=8x+(1/2)

y=8x+937382

y=8x-4

Answer:

y-1=-4(x+5)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=-4(x-(-5))

y-1=-4(x+5)

Answer: y - 1 = -4(x + 5)

Step-by-step explanation:

      The point-slope formula is y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ( [tex]x_1[/tex], [tex]y_1[/tex]) is a point on the graph.

      Using the formula, we will plug in our known values to write our equation.

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])

y - (1) = (-4)(x - (-5))

y - 1 = -4(x + 5)

        However, in the picture the slope is [tex]\frac{1}{4}[/tex], so we would write it as;

                      y - 1 = [tex]\frac{1}{4}[/tex](x + 5)

Answer:

Step-by-step explanation:

a  (2³)² = 2³ˣ² = 2⁶

b (7⁰)¹ = 7⁰ˣ¹ = 7⁰ = 1

c (5⁶)³ = 5⁶ˣ³ = 5¹⁸

d (6²)⁴ = 6²ˣ⁴ = 6⁸

e (8³)⁴ = 8³ˣ⁴ = 8¹²

f (4³)² = 4³ˣ² = 4⁶

g (9¹)² = 9¹ˣ² = 9² = 81

h (3⁷)² = 3⁷ˣ² = 3¹⁴

i (10²)³ = 10²ˣ³ = 10⁶

j (11²)⁴ = 11²ˣ⁴ = 11⁸

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2. you can't lose anything infinite

3. remeber our deal? brainliest pls.

[tex]\huge \bf༆ Answer ༄[/tex]

The additional information needed to prove that the triangles are congruent is ~ A

Answer:

11. 10

12. -9v + 7

13. 1-10b

14. 5n+10

15. 12v

16. 0

17. 0

18. -4n+10

19. 9b - 9

20. 5v-8

Hope it help.

Answer: 13: 1-10b

14: 5n +10

15: 12v

16: nothing

17 0

18: 10 -4n

19: 11 + 5b

20: 5x + -8

Step-by-step explanation:

13: 6b + 4b = 10b

1-0=1

1-10b

14: n+4n = 5n

5n+10

15: 10v + 2v = 12v

16: 6v - 6v = 0

17: -2 +2 =0

18: 9 + 1 = 10

5n + n = 4n

10 - 4n

19: 10 + 1 = 11

7b-2b = 5b

11 + 5b

20: 1 -9 = -8

5x + -8

Answer:

Step-by-step explanation:

AND REMEMBER DO ALWAYS READ AND WRITE