Which expression has a greater value: log^3 1/3 or log ^b 1/b? Explain how you know.
Answers
The value of both the logarithmic expressions is equal which is equal to the negative one.
What is a logarithm?Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The expressions are given below.
[tex]\log _3 \dfrac{1}{3} \ and \ \log _b \dfrac{1}{b}[/tex]
This can be written as
[tex]\log _3 3^{-1} \\\\\log _bb^{-1}[/tex]
We know that the property of the logarithm
[tex]\log _a a = 1\\\\\log a^b = b\log a[/tex]
Then we have
[tex]\log _3 3^{-1} = -1 \log _33 = -1\\\\\log _bb^{-1} = -1 \log _bb = -1\\[/tex]
The value of both the expressions is equal which is equal to the negative one.
More about the logarithm link is given below.
https://brainly.com/question/7302008
#SPJ2
Related Questions
At the U.S. Open Ternis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 13 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was mound-shaped and symmetric. What proportion of the player's serves was between 110 mph and 136 mph
Answers
Step-by-step explanation:
At the U.S. Open Tennis Championship, a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 102 miles per hour (mph) and the standard deviation of the serve speeds was 15 mph.The Ratio of 5 cows for every 2 dogs is equivalent to what ratio?
A. 20:8
B. 6/12
C. 4 to 10
( If it is right I will mark it as brainiest ong)
Answers
20:8
Step-by-step explanation:
5:2
20:8
5×4= 20 and 2×4= 8
Answer:
A is the right answer. If you multiply the ratio 5: 2 by 4 it will give you 20:8
please tell me the answer to 6 % of $ 4,379
Answers
At the end of Evan's party, there were 1 1 pizzas left. Evan ate į pizza for lunch the next day. What fraction of a pizza was left after Evan's lunch? Move numbers to the boxes to complete the equation. PLEASE HELP WILL GIVE BRAINLIEST
Answers
So, after Evan's lunch, there was 7/8 quantity of pizza left.
Here we can write,
The simple fraction of [tex]1\frac{1}{8}[/tex] = 9/8
So, if there were 9/8 pizzas left at the end of the party and Evan ate 2/8 of a pizza for lunch,
we can start by subtracting the amount that Evan ate from the total amount that was left,
⇒ 9/8 - 2/8
To subtract fractions with like denominators,
We can simply subtract the numerators and keep the same denominator,
⇒ 9/8 - 2/8 = 7/8
So, after Evan's lunch, there were 7/8 of a pizza left.
Learn more about subtraction visit:
https://brainly.com/question/17301989
#SPJ2
Help me pls I don't know what to do
Answers
So...
Length = 18 + 3
Width = 18 + 3
Since you’re adding 18 + 3 for Length AND Width, you’re going to get a sum of 21 for each.
Length = 21
Width = 21
Now you’re gonna want to multiply 21 by itself.
21 • 21 = 21 + 420 = ?
Which leaves you with the final sum of...
Area = 441 yds.
A bakery sells 12 cupcakes for $10. A Super Market sells 10 cupcakes for $8. Which store is cheaper per cupcake? *
Answers
Answer:
Step-by-step explanation:
hope this help
Answer: the super market is cheaper
are these two triangles congruent? if so state, how you know.
Answers
Answer:
by SSS axiom
hope it helps.
Answer:
Step-by-step explanation:
Yes
the two sides that are marked make 2/3 of the sides needed for SSS
The line shared by both triangles make the third side.
Answer: SSS
please help me :(
.....
Answers
Answer:
128 i think
Step-by-step explanation:
5x7=32
x=4
32x4=128
find the measure indicated. Assume that the lines which appear to be tangent are tangent. Part 4
NO LINKS OF ANY KIND
Answers
The angle between the two tangents drawn from an external point to a circle and the angle subtended by the line segment joining the points of the contact at the Centre are supplymentary,
So,
15.) let the unknown angle be x
=》x + 55° = 180°
=》x = 180° - 55°
=》
[tex] \boxed{x = 125°}[/tex]
16. let the unknown angle be n
=》n + 80° = 180°
=》n = 180° - 80°
=》
[tex] \boxed{n = 100°}[/tex]
9514 1404 393
Answer:
15) 125°
16 100°
Step-by-step explanation:
The short arc where two tangents intersect a circle, and the angle where the tangents meet are supplementary.
__
15) ? = 180° -55° = 125°
16) ? = 180° - 80° = 100°
_____
Additional comment
The quadrilateral formed by the tangents and the radii to the points of tangency has a total interior angle measure of 360°. The angles where the radii meet the tangents are 90°, so the sum of the external angle and the central angle is 360° -90° -90° = 180°. That is, the external angle and the central angle are supplementary.
What are the lateral area and the surface area of the cone shown below? Round the answers to
the nearest tenth. The figure is not drawn to scale.
Answers
Answer:
lateral surface area of the cone = 829.0ft²
Hence the total surface area is 1,208.9ft²
Step-by-step explanation:
lateral surface area of the cone = πrl
l is the slant side = 24ft
r is the radius = 11ft
lateral surface area of the cone = π(11)(24)
lateral surface area of the cone = 3.14 * 264
lateral surface area of the cone = 828.96ft²
lateral surface area of the cone = 829.0ft²
Total surface area = πr(r+l)
r is the radius = 11ft
l is the slant side = 24ft
Total surface area = π(11)(11+24)
Total surface area = π(11)(35)
Total surface area = 3.14 * 385
Total surface area = 1,208.9ft²
Hence the total surface area is 1,208.9ft²
guys please help me, im really having a hard time on those questions and more other questions please!!
Answers
Answer:
1. 21, 22
2.29,30
Step-by-step explanation:
1. m+4>24
subtract both sides by 4
m>20
Two values that are greater than 20 are 21 and 22.
2. 7<x/4
multiply both sides by 4
28<x
Two values that are greater than 28 are 29 and 30.
Please helppppppppppp
Answers
Answer: what are you supposed to find out?
Step-by-step explanation:
The sum of the fifth and sixth term of an AP is 30.If the third term is 5.Find the first term.
Answers
Answer:
The first term is -3.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between two consecutive terms is always the same, and it is called common difference d.
The nth term is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term.
If we have the mth term instead of the first, we have:
[tex]a_n = a_m + (n-m)d[/tex]
We have the third term, and need the fifth and the sixth:
So we write both the fifth and the sixth in function of the third, then:
[tex]a_5 = a_3 + 2d = 5 + 2d[/tex]
[tex]a_6 = a_3 + 3d = 5 + 3d[/tex]
The sum of the fifth and sixth term of an AP is 30
We use this to find [tex]d[/tex]. So
[tex]a_5 + a_6 = 30[/tex]
[tex]5 + 2d + 5 + 3d = 30[/tex]
[tex]5d + 10 = 30[/tex]
[tex]5d = 20[/tex]
[tex]d = \frac{20}{5} = 4[/tex]
First term:
The third term is:
[tex]a_3 = a_1 + 2d[/tex]
Since [tex]a_3 = 5, d = 4[/tex]
[tex]a_1 = a_3 - 2d = 5 - 8 = -3[/tex]
The first term is -3.
You want to know if the students in your school have been to your town’s skate park. You randomly survey 50 of the 1100 students at your school. Of those surveyed, 15 have been to the skate park and 35 have not. You conclude that 30% of the students in your school have been to the skate park. Which statement below best describes your conclusion
Answers
Answer:
Step-by-step explanation:
The conclusion is invalid
Find the value of the trigonometric ratio.
Answers
Answer:
D
Step-by-step explanation:
sin=opposite/hypotenuse
Sinx=40/41
Pablo made a dot plot and histogram to show how many times last month each student in a class played sports. However, the histogram is incorrect.
Answer the questions to show how Pablo can fix the histogram to match the dot plot.
1. Is the bar for the interval 0 – 4 correct, or does its height need to change? If it needs to change, describe the change that should be made.
Write your answer in the space below.
2. Is the bar for the interval 5 – 9 correct, or does its height need to change? If it needs to change, describe the change that should be made.
Write your answer in the space below.
3. Is the bar for the interval 10 – 14 correct, or does its height need to change? If it needs to change, describe the change that should be made.
Write your answer in the space below.
4. Is the bar for the interval 15 – 19 correct, or does its height need to change? If it needs to change, describe the change that should be made.
Answers
Answer:
1. The bar interval is correct, the height does not need to be changed.
2. The bar interval is not correct, the height has to change higher by 1.
3. The bar interval is not correct, the height has to change lower by 1.
4. The bar interval is correct, the height does not need to be changed.
The histogram that best represents the data is the first histogram.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
here, we have,
For this problem, we have that the data-set is given by:
3.4 1.1 1.7 3.1 5.8 3.2 3.7 3.4 1.6 3.5 3.9 3.8 1.1 1.9 1.8.
We divide the data-set into ranges, hence the number of elements in each range is given as follows:
6 students download between 0 and 2 songs per week.
8 students download between 2 and 4 songs per week.
1 student download between 4 and 6 songs per week.
Hence the first histogram best represents the data.
More can be learned about histograms at
brainly.com/question/28164315
#SPJ2
complete question:
The following table shows the average number of songs downloaded each day by some students of a class: Student A B C D E F G H I J K L M N O Songs 3.4 1.1 1.7 3.1 5.8 3.2 3.7 3.4 1.6 3.5 3.9 3.8 1.1 1.9 1.8 Which histogram best represents the data? Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 2 is 6, height of the bar in the x interval 2 to 4 is 8, and the height of the bar in the x interval 4 to 6 is 1.
Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 1 is 6, height of the bar in the x interval 1 to 2 is 8, and the height of the bar in the x interval 2 to 3 is 1.
Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 2 is 7, height of the bar in the x interval 2 to 4 is 9, and the height of the bar in the x interval 4 to 6 is 2.
Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 1 is 7, height of the bar in the x interval 1 to 2 is 9, and the height of the bar in the x interval 2 to 3 is 2. WILL GIVE BRAINLIEST!
Donna fed of the chickens at a farm. Which decimal is equal to the fraction of 11 chickens Donna fed?
__
A. 0.09
_
B. 0.09
__
C. 0.01
_
D. 0.01
Answers
either a or b not 0.01
A. 0.09
Which statement is true about the diagram
Answers
Answer:
I believe that it is the 3 option Im not 100% sure but im most certain
Step-by-step explanation:
You start at (7,9) in a coordinate plane you move left 7 units. Where do you end
Answers
Answer:
You end up at 0,9
Step-by-step explanation:
help ..........................................
Answers
Answer:
c. 45d+.25m
Step-by-step explanation:
2 3/6 boxes and 1 2/3 boxes were recycled what is the total
Answers
So the answer is 1 1/6.
I hope this helped
1.l
Paul has 2 bags of Skittles. Each bag
contains 84 Skittles. If Paul eats 38
Skittles and gives 29 Skittles to each
of his two friends, how many
Skittles
does Paul have left?
Answers
Answer:72
skittles left
Step-by-step explanation:
Answer:
Paul would have 72 skittles left
Step-by-step explanation:
84 x 2 = 168
168 - 38 = 130
130 - 29 = 101
101 - 29 = 72
amy waters her garden every 4 days and weeds it every saturday amy waters her garden this saturday.How many days will it be until the next time amy both waters and weeds her garden on the same day
Answers
Write an expression to show k less than 3.5
Answers
< means less than and > means more than and = means equal to so k < (less than) 3.5
2. 2 1 1 3
5' 4210
I
Arrange the fractions in ascending order.
D a) 1 1 2 3
2' 4' 5' 10
O c 1 3 2 2 1
4' 10' 5' 2
b) 3 2 1 1
10' 54'2
I
d) 1 2 1 3
2' 5' 4' 10
Answers
Answer:
a.1 1 2 3
2'4'5'10 that is ig
f(x) = x + 4; find f(-8).
A-12
B -4
C 12
D 4
Answers
Answer:
A. -12
Step-by-step explanation:
When it says, "find f(-*)" it is telling you that that is f(x), so you're now basically solving:
-8=x+4
Which, would have to be -12.
Reese's Puffs Reese's Puffs
a. eat em up, eat em up, eat em up, eat em up!
b. no-
Answers
Answer:
a
Step-by-step explanation:
common sense
Answer:
a
Step-by-step explanation:
Judah’s family wants to ride the bumper boats at a waterpark. There are 4 children ( c ) and 2 adults ( a ) in Judah’s family. The boats are safe to ride if 40 c + 120 a ≤ 500 . Are the bumper boats safe for Judah’s family to ride? Explain. Show your work
Answers
Answer:
ion know
Step-by-step explanation:
questions and answer choices attached to photo, please help ASAP :)
Answers
Answer:
D
Step-by-step explanation:
10 x 10 x 29 x .5 = 1,450
Simplify (3m^5)^2. need help
Answers
Answer:
6m^10?
Step-by-step explanation: