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]

Answers

Answer 1

[tex]\log_b \left(\dfrac 1{b^{-b}}\right)\\\\=\log_b (b^{-b})^{-1}\\\\=\log_b b^b\\\\=b \log_b b\\\\=b \cdot 1\\\\=b[/tex]


Related Questions


Pls help peeps would be appreciated

Answers

Answer:

A.

Because it has it two sides equal

Write an equation of a line that is perpendicular to the given line and passes through the given point.
y = 6x - 7
(12,-4)
• y = 6x +5
• y = -6x-5
• y = -1/6 x + 6
•y = -1/6 - 2

Answers

Answer:

• y = -6x-5

Step-by-step explanation:

PLZ HELP
If a triangle has one interior angle measuring 102°, what is a possible pair of measurements for the other two
interior angles?

Answers

Answer:

39

Step-by-step explanation:

There is a possibility that this triangle is isosceles. Angles in triangles add up to 180. 102-180=78. Since we are assuming this triangle is isosceles, we can just divide 78 by 2 and get 39 which might be the other two angles. They might both be 39 degrees.

Since triangle angles must add up to 180 degrees, the other angles must add up to 78 degrees. One possible pair could be if you divided 78 in half, which is 39. There could also be tons of more I can provide a list of below:

39,39

40,38

35,43

A sequence of numbers is shown below :
1 5 9 13 17
explain why 95 will not be a term in this sequence

Answers

Answer:

95 is not a term here as the next verse should be 98 as it is a 94 term in this pattern

95 will not be a term in the sequence 1, 5, 9, 13, 17, ....., as the value of n for the nth term is not integer.

What is arithmetic sequence ?

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given sequence of numbers is,

1, 5, 9, 13, 17, .....

The first term of the given sequence a₁ =1,

From the given sequence, the common difference pair of two consecutive terms d = 4,

Let nth term of the sequence aₙ= 95,

By arithmetic sequence formula,

aₙ = a₁ + (n-1).d

Substitute the value of aₙ and d,

95 = 1 + (n-1).4

94 = (n-1). 4

(n-1) = 23.5

n = 24.5

The value of n can't be decimal, so 95 can't be a term of the given sequence.

To learn more about Arithmetic sequence on :

https://brainly.com/question/1452631

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What are the coordinates of the point on the directed line segment from (-4,-1) to (6,4) that partitions the segment into a ratio of 3 to 2?

Answers

Using proportions, it is found that the coordinates of the desired point are (2,2).

The first point is A(-4, -1).The second point is B(6, 4).The desired point is C(x,y).

The point C partitions the segment AB into a ratio of 3 to 2, hence:

[tex]C - A = \frac{3}{5}(B - A)[/tex]

This proportion is applied using both the x and y coordinates of the points, hence:

[tex]x - (-4) = \frac{3}{5}[6 - (-4)][/tex]

[tex]x + 4 = 6[/tex]

[tex]x = 2[/tex]

[tex]y - (-1) = \frac{3}{5}[4 - (-1)][/tex]

[tex]y + 1 = 3[/tex]

[tex]y = 2[/tex]

The coordinates of the desired point are (2,2).

To learn more about proportions, you can take a look at https://brainly.com/question/4854238

Write an explicit formula for a_nth term of the sequence 18, 6, 2, ...

Answers

Answer:

Step-by-step explanation:

Which statement about f ( x ) = x 2 + 5 x − 84 is true?

Answers

Answer:

It is False

Step-by-step explanation:

Which congruence criteria is met in the following scenario?

SAS
SSS
None, because SSA is not a triangle congruence criteria.
ASA
AAS

Answers

None, because SSA is not a triangle congruence theorem.

Find the value of x, y, and z, in the rhombus below.

Answers

Answer:

x = 19, y = -7, z = -18

Step-by-step explanation:

Since its a rhombus and 1 side = 29, all sides = 29. Just solve each side.

2x - 9 = 29

2x = 38

x = 19

-3y + 8 = 29

-3y = 21

y = -7

-2z - 7 = 29

-2z = 36

z = -18

The value of the variables x, y, and z will be 19, -7, and -18, respectively.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

All the sides of the rhombus are congruent with each other.

Then the equations are given below.

2x - 9 = 29

-3y + 8 = 29

-2z - 7 = 29

Simplify the first equation, then we have

2x - 9 = 29

2x = 38

x = 19

Simplify the second equation, then we have

-3y + 8 = 29

3y = - 21

y = -7

Simplify the third equation, then we have

-2z - 7 = 29

2z = - 36

z = - 18

The value of the variables x, y, and z will be 19, -7, and -18, respectively.

More about the Algebra link is given below.

https://brainly.com/question/953809

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please I need help immediately ​

Answers

Answer:

Step-by-step explanation:

4x+6<= -54

4x <= -60

x <= -15    [The point -15 is included, so it must be a solid dot]

----------------

5x + 7 > -18

5x > -25

x > -5     [The point -5 is NOT included, so it should be an empty dot.]

Solution C seems the best.

Calculate the slope of the following points. (0, 4) and (5, 9). Show all work.

Answers

Answer:

1

Step-by-step explanation:

Subtract the y values and put them in the numerator (top of fraction). 9-4=5.

Subtract the x values and put them in the denominator (bottom) 5-0=5.

Put the numbers in the fraction and simplify. 5/5 = 1.

9-4=5
5-0=5
5/5
Slope=1

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarged left-brace 1st Row 1st column 300 t 125 , 2nd column 0 less-than-or-equal-to t less-than 2. 5 2nd Row 1st column 880, 2nd column 2. 5 less-than-or-equal-to t less-than-or-equal-to 3. 5 3rd Row 1st column 75 t 612. 5, 2nd column 3. 5 less-than t less-than-or-equal-to 6 EndLayout Which times and distances are represented by the function? Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2. 5 hours, the traveler is 875 miles from home. At 3 hours, the distance is constant, at 880 miles. The total distance from home after 6 hours is 1,062. 5 miles.

Answers

The distance in given time t is determined by substituting the value of time and solving the equation.

At 2 hours, the traveler is 725 miles from home.

At 3 hours, the distance is constant, at 880 miles.

The total distance from home after 6 hours is 1,062.5 miles.

Given that,

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

D(t) = 300t + 125

We have to determine,

Which times and distances are represented by the function?

According to the question,

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

D(t) = 300t + 125

1. The starting distance at 0 hours is ;

At [tex]0 \leq t < 2.5[/tex]

Then,

[tex]\rm D(t) = 300t + 125 ;\\\\\ D(0) = 300(0) + 125 = 125 \ miles[/tex]

The starting distance, at 0 hours, is 125 miles.

2. The distance at 2 hours is,

[tex]\rm D(t) = 300t + 125 ;\\\\\ D(2) = 300(2) + 125\\\\ D(2) =600+125\\\\ D(2) = 725 \ miles[/tex]

At 2 hours, the traveler is 725 miles from home.

3. The distance at t = 2.5 hours is,

At 2.5 ≤ t ≤ 3.5

D(2.5) = 880 miles (Fixed)

At 2.5 hours, the traveler is 880 miles from home.

4. The distance at t = 3 hours is,

2.5 ≤ t ≤ 2.5

D(3) = 880 miles

At 3 hours, the distance is constant, at 880 miles.

5. The distance at t = 6 hours is,

3.5 < t ≤ 6

[tex]\rm D(t) = 300t + 125 ;\\\\\ D (6)= 75(6) + 612.5\\\\ D(6) = 450 + 612.5\\\\D(6) = 1062.5 miles[/tex]

The total distance from home after 6 hours is 1,062.5 miles.

For more details about Average distance refer to the link given below.

https://brainly.com/question/25969947

help me out plzzzzzz

Answers

Answer:

  A=4, B=3, C=2, D=7  or  A=2, B=7, C=4, D=3

Step-by-step explanation:

To factor this, you are looking for factors of 8×21 = 168 that have a sum of 34.

  168 = 1×168 = 2×84 = 3×56 = 4×42 = 6×28 = 7×24 = 8×21 = 12×14

The sums of these factor pairs are 169, 86, 59, 46, 34, 31, 29, 26. The factor pair whose sum is 34 is 6×28. This means we can rewrite the expression as ...

  8x² +28x +6x +21

Factoring by pairs gives ...

  4x(2x +7) +3(2x +7)

  (4x +3)(2x +7)   ⇒   A=4, B=3, C=2, D=7  or  A=2, B=7, C=4, D=3

Answer:

......................

Can someone help me understand this pls? (Provide an explanation)

Question:
Is triangle AFD congruent to triangle BEC?

Answers

Answer: is not congruent

To be congruent, it has to be same size and shape. It can face in any directions. Both the shapes have to be equal in all side lengths and equal angles.

Looking at the triangle you can understand that it is not congruent as the triangles have a size difference of being big and small. But if you still desire detailed explanation then here:

There is four rules for a triangle to be congruent. If one of these rule matches then you can say the triangle is congruent.

1. The three sides are equal

2. Two angles are the same and a corresponding side is the same

3. Two sides are equal and the angle between the two sides is equal

4. Two angles are equal and the side between them is equal

There are no angles, so find if all the three sides are equal. Even if one side is not equal, you can say it is not congruent. So if you just measure any side length of the smaller and big triangle, the length is not equal. None of the side lengths in either of the triangle is equal.

Select an the correct answers.
Which two tables represent the same function?

Answers

Answer:

4th is right

Step-by-step explanation:

fourth is right, x + 8 = y

you have it correct

write 9^3 x 27^2 as a single power of 3

Answers

Answer:

3^12

Step-by-step explanation:

9³=(3²)³=3^6

27²=(3³)²=3^6

So together, it is 3^12

Answer:

3^12

Step-by-step explanation:

9^3 x 27^2

Rewrite 9 as 3^2 and 27 as 3^3

3^2^3  * 3^3^2

We know that a^b^c = a^(b*c)

3^(2*3)  * 3^(3*2)

3^6   * 3^6

We know that a^b  * a^c = a^(b+c)

3^(6+6)

3^12

How do you write 750% as a fraction or mixed number

Answers

Answer:

750/100 or 7 1/2 whichever way u need

Step-by-step explanation:

Is this triangle a right triangle? Explain.

Answers

Answer:

hmm

Step-by-step explanation:

I can't see any triangle there..a right angled triangle is meant to look like this

A cell phone company charges a 20$ flat fee plus $0.05 for every minute used for calls

Answers

Answer:

In both the cases, the given total amount is given as:

T  = 10 + 0.05 m     (when minutes talked m   < 600)

T   =  40   +   0.15 k           (when minutes talked  k   > 600)

Step-by-step explanation:

Joseph invests money in an account paying a simple interest of 2.9% per year. If he invests $60 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?

Answers

Hi there! I’m here to help you out with your question.

It costs Joseph 2.9% per year in interest.

This is a one step process, do 60 (money he invests) x .029 (interest) and you should get $1.74.

Add $1.74 + $60, and your answer is $61.74.

Thank you and I hope this helped you.

What is m<1?

60
120
66
114

Answers

Answer:

60 Is the correct answer

Answer:

114

Step-by-step explanation:

all angles of a triangle add up to 180

180-80-34 = 66

66 is the angle right next to 1

180 degrees will be the product of both of those angles

180-66 = 114

114 degrees

suppose y varies directly as x. suppose also that y=34 when x=17. find y when x=56.

Answers

Answer:

  112

Step-by-step explanation:

We can write the equation for the direct variation:

  y = kx

  34 = k(17)

  34/17 = k = 2

Then for the new x-value:

  y = 2(56) = 112

The value of y is 112 when x = 56.

__

Or, we can write the relation as a proportion:

  y/56 = 34/17

  y = 56(34/17) = 112

Y=x2+3x+1
when х= 5, y=?

Answers

Answer:

y = 41

Step-by-step explanation:

Substitute x = 5 into the equation

y = 5² + 3(5) + 1 = 25 + 15 + 1 = 41

Ok done. Thank to me :>

simplify: 2x^2+15x-30

A= 2x^2
B= 15x
C= -30​

Answers

(x-5)(x-6)

I dunno, its my question, just answering it for fun

Nathan uses ¼ cup of water for every ½ cup of lemon juice to make lemonade. Enter the number of cups of water Nathan uses for 1 cup of lemon juice. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER.

Answers

I think it should be 1/2 cup water. Sorry if I'm wrong

Evaluate -1 - [-z] where z = -2

Answers

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

[tex]\huge\textsf{-1 - [-z]}\\\\\huge\textsf{= -1 - [- -2]}\\\\\huge\textsf{= -1 - - 2}\\\\\huge\textsf{= -1 + (-2)}\\\\\huge\textsf{= -1 - 2}\\\\\huge\textsf{= -3}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-3}}}\huge\checkmark[/tex]

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

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

Answer:

-3

Step-by-step explanation:

Evaluate - 1 - ( - z ) where z = -2

you can find this out because when there are two minuses by each other it equals a positive but then z = -2 so that adds another minus so it narrows it down to -1+-2 which equals 3

Find the perimeter of the figure below, in centimeters.

Answers

Answer

64.8

Step-by-step explanation:

brainliest pls

Answer:

64.8 cm.

Step-by-step explanation:

Add up the sides:

Perimeter = 2(8.7) + 2(5.5) + 2(5.5) + 2(10.8) + 2(1.9)

= 17.4 + 11 + 11 + 21.6 + 3.8

= 64.8 cm.

The average laundry worker folds five
towels in a minute, but Miss Parker
folds eight! At the end of an hour,
how many more towels has she
folded than the average worker?

Answers

Answer:

Miss Parker folded 180 more towels than the average laundry worker

Step-by-step explanation:

5 multiplied by 60 gives you the average laundry worker- 5x60=300 towels per hour. Miss Parker can fold 8 per minute so you do 8 multiplied by 60 which would give you her average- 8x60=480. To find how many more towels she has folded than the average luandry worker you subtract miss Parker’s total from the average laundry person’s total giving you- 480-300=180

What three consecutive numbers add up to 75?​

Answers

Answer:

24,25,26

Step-by-step explanation:

Answer:24, 25, 26

Step-by-step explanation:

Divide the 75 by 3 because that is how many numbers you need. Then subtract 1 to get 24, add 1 to get 26, and also use 25.

Draw the graph of y= -6

Answers

Answer:

See attachment.

Step-by-step explanation:

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