If logb3=1.10, then logb27 = ____.

Answers

Answer 1

Step-by-step explanation:

27 = 3×3×3

logb(m×n) = logb(m) + logb(n)

logb(27) = logb(3×3×3) = logb(3)+logb(3)+logb(3) =

= 3×logb(3) = 3×1.10 = 3.30


Related Questions

A field is a rectangle with a perimeter of 960 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.

Answers

I'm almost absolutely positive the width is 40 and the length is 440

What are the coordinates of vertex N after this translation? * Quadrilateral LMNP is translated 4 units up and 2 units right. ​

Answers

Answer:

A

Step-by-step explanation:

because

Two right triangles are proportional. The shortest leg of the small triangle is 4 in and the hypotenuse is 12 in. The shortest
leg of the large triangle 8 in. Find the length of the hypotenuse of the large triangle.

A.12
B.21
C.20
D.24

Answers

Answer:

D)  24

Step-by-step explanation:

scale factor is 2

since 4 x 2 is 8 then 12 x 2 is 24

Which one of the following statements about the projected unit sales volumes per company in the table on p.6 of the Player's Guide is false?
A. The projected unit sales volumes of branded footwear per company in Europe-Africa in Years 11-13 are higher than in North America.
B. Branded footwear sales per company in North America in Years 11-13 are projected to exceed branded footwear sales per company in the other three geographic regions.
C. The unit sales volumes of private-label footwear per company in the Europe-Africa region in Years 11-13 are projected to be the same as in North America.
D. Unit sales volumes per company of branded footwear in Years 11-13 are projected to be higher in the Europe Africa region than in either the Asia-Pacific region or the Latin America region.
E. The unit sales volumes per company in Latin America in Year 13 are projected to be 1,997,000 pairs of branded footwear and 288,000 pairs of private-label footwear

Answers

There are factors that makes a statement to be true. The false statement is that the projected unit sales volumes of branded footwear per company in Europe-Africa in Years 11-13 are higher than in North America.

What are the factors in knowing a company's unit sales?

The factors to consider in knowing a company's unit sales and market share of products such as branded footwear in a specific geographic region includes;

The expenditures made on advertising.The number of models/styles in the company's product lineThe delivery times to retailers (such as 1,2,3,or 4 weeks)

From the study, the market for branded athletic footwear is projected to grow approximately 9-11% annually in Latin America and the Asia-Pacific and 5-7% annually in North America an Europe-Africa during the Year 11-15.

Therefore the above is false since their projected growth is the same percentage.

Learn more about  footwear company from from

https://brainly.com/question/25904078

3x + 5y = 4 2x + 3y = 4 solve in elimination

Answers

Answer:

y=-4, x=8

Step-by-step explanation:

1)3x+5y=4

2)2x+3y=4

Make 1 and 2 have the same co-efficient of x or y (i chose x as it is easier to get to 6 then 15)

Label the 2 new equations as 3 and 4

3)6x+10y=8

4)6x+9y=12

Now we can take away to give

y=-4

Now we substitute this into 1 or 2

I chose 2:

2x+3(-4)=4

2x=4+12

2x=16

x=8

Answer:

x = 8

y = -4

Step-by-step explanation:

Multiply the first equation by 2:

⇒ 3x + 5y = 4  ⇒  6x + 10y = 8

(we will call this equation 3)

Multiply the second equation by 3:

⇒ 2x + 3y = 4  ⇒  6x + 9y = 12

(we will call this equation 4)

Subtract equation 3 from equation 4 to eliminate the x variable:

     6x + 9y = 12

-    6x + 10y = 8

              -y = 4

Therefore, y = -4

Substitute y = -4 into one of the equations and solve for x:

3x + (5 x -4) = 4

⇒ 3x - 20 = 4

⇒ 3x = 24

⇒ x = 8

Can anyone help in this question, thanks​

Answers

Answer:

Sorry I can only help you in 5a. The answer is 70 degrees because it is a central angle. The measure of an arc and a central angle is the same.

Step-by-step explanation:

Mai got a prepaid debit card with 30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 23 cents per yard. If after that purchase there was 27.01 left on the card, how many yards of ribbon did Mai buy?

Answers

Answer:

The answer I got was 13.

Step-by-step explanation:

I first did 30-27.01 to get 2.99.

I then divided 2.99 by 0.23 or 2.99/0.23 to get 13.

Hope this helped any!

An artist designs a sculpture in the shape of a rectangular prism.

The sculpture has a width of x feet. The depth of the sculpture is 6 feet more than the width. The length of the sculpture is 12 feet less than twice the width.

Given the sculpture's volume in cubic feet is 26 times its width in linear feet, what is the length of the sculpture?

Answers

Answer: 2

Step-by-step explanation:

took the quiz

The length of the sculpture is 2 feet.

Given information about the sculpture:

Width of the sculpture = x feet

Depth of the sculpture = x + 6 feet

Length of the sculpture = 2x - 12 feet

The volume of a rectangular prism is given by the formula:

Volume = length × width × depth

According to the given information, the volume of the sculpture is 26 times its width in linear feet. Therefore, write the equation as:

Volume = 26 × Width

Volume = 26x

Write the expression for the volume of the sculpture using the dimensions:

Volume = (2x - 12) × x × (x + 6)

Set up the equation:

26x = (2x - 12) × x × (x + 6)

26x = (2x² - 12x) × (x + 6)

26x = 2x³ + 12x² - 12x² - 72x

26x = 2x³ - 72x

Now, rearrange the equation to set it equal to zero:

2x³ - 72x - 26x = 0

2x³ - 98x = 0

2x(x² - 49) = 0

2x = 0

x = 0

And, the value of x is calculated as:

x² - 49 = 0

x² = 49

x = ±√49

x = ±7

Since dealing with dimensions, have a negative value for x.

Therefore, x = 7.

The value of x is 7, find the length of the sculpture:

Length = 2x - 12

Length = 2 × 7 - 12

Length = 14 - 12

Length = 2 feet

So, the length of the sculpture is 2 feet.

Learn more about Sculpture here:

https://brainly.com/question/32190138

#SPJ3

4. A hiker covers in the first hour of his hike 6 km, in the second hour 9 km and in the third hour 7 km. What was his average speed during the hike

Answers

Answer: 7 km per hour

Step-by-step explanation:

shi i may be wrong but im pretty sure thats his average speed

Find amount when principal is 7150 and rate is 5% time is 2.5 years​

Answers

Answer:interest =p×r×t ÷100

Time = 21/2 -5/2

Interest = 7150×5×5/100×2

answer =1787.5

Amount = P-I

7150-17875/10

Answer = 5362.5

Step-by-step explanation:

sophia has 7m of ribbon to help decorate a room. she will cut pieces of ribbon that are each r inches long. (1in.=2.54cm) which expression can help find the number of pieces of ribbon that she will have

Answers

Step-by-step explanation:

1 m (meter) is 100 cm (centimeters).

so, 7 m is 700 cm.

each piece is r × 2.54 cm long (as every inch is 2.54 cm).

so,

number of pieces = 700 / (r × 2.54)

The number of species can find by expression is

700 / (r × 2.54)

We have given that

Sophia has 7 m of ribbon

she will cut pieces of ribbon that are each r inches long.

We have to calculate the number of pieces of ribbon that she will have

What is the value of 1 meter in cementer?

1 (meter) =100 (centimetres).........(1)

multiply both side by 7

7 m is 700 cm.

each piece is

r × 2.54 cm long ..................(as 1 inch is 2.54 cm).

so,

[tex]number of pieces = 700 / (2.54r)[/tex]

Therefore the number of species can find by expression is

700 / (r × 2.54)

To learn more about the expression visit:

https://brainly.com/question/723406

Evaluate each expression.


Answers

Answer:

Evaluate each expression:

Answer:

5 = 10

6 = 13

7 = 5

8 = 17

Step-by-step explanation:

5.

1: simplify

[tex]\sqrt{8^2+6^2}[/tex]

2: take both to power

[tex]\sqrt{64+36}[/tex]

3: sqrt

[tex]\sqrt{100} = 10[/tex]

6.

1: simplify

[tex]\sqrt{5^2+12^2}[/tex]

2: take both to power

[tex]\sqrt{25+144}[/tex]

3: sqrt

[tex]\sqrt{169} = 13[/tex]

7.

1: simplify

[tex]\sqrt{4^2+3^2}[/tex]

2: take both to power

[tex]\sqrt{16+9}[/tex]

3: sqrt

[tex]\sqrt{25} = 5[/tex]

8.

1: simplify

[tex]\sqrt{15^2+8^2}[/tex]

2: take both to power

[tex]\sqrt{225+64}[/tex]

3: sqrt

[tex]\sqrt{289} = 17[/tex]

A 6 inch by 10 inch rectangle is dilated by a factor of 3. What is the area of the dilated
rectangle?

Answers

Answer:

Step-by-step explanation:

Dilated by a factor of three means that the two dimensions needed for the are are multiplied by 3.

width = 6*3 = 18

Length = 10 * 3 = 30

Area of dilated rectangle = 18*30 = 540 inches ^2

I really really need help pls

Answers

Answer:

  (c)  r units right

Step-by-step explanation:

The translation transformations are ...

  g(x) = f(x -h) +k . . . . . . . shifts h units right and k units up

Your transformation has h=r and k=0, so the graph is shifted r units right and no units vertically.

_____

Additional comment

This in not terribly mysterious. Suppose you have f(1) = 6. This means the point (1, 6) is on the graph.

Now, suppose you transform this to ...

  g(x) = f(x -2)

When the value of x is 3, the value of g(x) is f(3-2) = f(1) = 6. That means the point (3, 6) is on the graph of g(x).

It is the same as the point (1, 6) on the graph of f(x), but shifted 2 units to the right.

__

You can shift a function r units right by replacing x with (x-r), as we just discussed. You can shift a function u units up by replacing y with (y-u). When we write equations in "functional form", the "u" gets "moved."

  y-u = f(x) . . . . . graph of f(x) shifted u units up

  y = f(x) +u . . . . graph of f(x) shifted u units up. (u added to both sides of the above equation)

Find the value of (8/125)^-2/3

Answers

Answer:

6.25

Step-by-step explanation:

Using the rules of exponents

[tex](\frac{a}{b}) ^{-\frac{m}{n} }[/tex] = [tex](\frac{b}{a}) ^{\frac{m}{n} }[/tex]

[tex]a^{\frac{m}{n} }[/tex] = [tex](\sqrt[n]{a} )^m[/tex]

Given

[tex](\frac{8}{125}) ^{-\frac{2}{3} }[/tex]

= [tex](\frac{125}{8}) ^{\frac{2}{3} }[/tex]

= [tex](\sqrt[3]{125} )^2[/tex] × [tex]\frac{1}{(\sqrt[3]{8})^2 }[/tex]

= 5² × [tex]\frac{1}{2^2}[/tex]

= 25 × [tex]\frac{1}{4}[/tex]

= [tex]\frac{25}{4}[/tex]

= 6.25

57 women make up an all female choir in a church.
Two women are chosen to sing together for a duet.
How many possible pairs could be chosen for the duet?

Answers

Answer:

there could be 28 possible pairs because 57/2=28.5

Step-by-step explanation:

Mr.Nadsen buys 12 posters. each poster costs 15$. if mr.nadsen receives a 4$ discount on each poster, what is the total amount of money mr. nadsen spends? write an expression that matches the words.

Answers

Answer:

132

Step-by-step explanation:

1 poster = $15

12 poster = $180

$4 discount * 12 posters = $48

180 - 48 = 132

so the answer is 132!

please mark brainliest i need 4 more!

8.91203 to the nearest whole number =

Answers

9 would be the answer
9 is the answer!! I hope it helps!

40 POINTS!!!!
ANSWER ASAP PLEASE!

A six-sided number cube is rolled, and then a spinner with 5 equal sections labeled A through E is spun.

What is the probability of rolling a 6 and spinning a vowel?


1/15

1/10

1/3

17/30

Answers

Answer:

1/15

Step-by-step explanation:

K-12 quiz

The probability of rolling a 6 and spinning a vowel is 1/15.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

A six-sided number cube is rolled, and then a spinner with 5 equal sections labeled A through E is spun.

Outcome for cube rolled = {1, 2, 3, 4, 5, 6}

Outcome spinner spun = {A, B, C, D, E}

So, the probability of rolling a 6 and spinning a vowel

= 1/6 x 2/5

= 1/15

Learn more about Probability here:

https://brainly.com/question/11234923

#SPJ3

HELP PLEAS EI GIVE BRAINLISt

Answers

Answer:

D

Step-by-step explanation:

40 is in the same place for B and C, 83 is in the same place for A and C, and 57 is in the same place for A and B.

Triangle D is not similar to the other  three triangle.

Similar triangle:

Similar triangle may have different sizes but the shape. In similar triangles, corresponding sides are always in the same ratio. The corresponding angles are congruent.

Therefore, triangle A, B and C are similar triangle because the corresponding angles are equal. The angles are 40°, 83° and 57°.

The  last triangle D has a different angles sizes which are 40°, 67° and 73°.

Therefore, triangle D is not similar to the other  three triangle.

learn more on similar triangle here:https://brainly.com/question/25882965

The function y = 2 • 1.5n models the value of a certain stock after n years. What is the recursive formula that models the situation?

Answers

Answer:

aₙ= 1.5aₙ₋₁ with a₁= 3

Step-by-step explanation:

recursive formula is represented by aₙ=b· aₙ₋₁

Using the unpaid balance method, find the current months finance charge on a credit card account having the following transactions.
Last month’s balance: $385
Last payment: $250
Annual interest rate: 21%
Purchases: $303
Returns: $158
(It would be great if you could tell me how to use the formula I=Prt where previous months balance + finance charge + purchases made - returns - payments)

Answers

Answer:

$5.02

Step-by-step explanation:

The unpaid balance method is a common method used by credit card companies to calculate finance charges. It determines the finance charge based on a portion of the previous balance you have not yet paid.

Equations to use:

[tex]\boxed{\begin{minipage}{9.7cm}\phantom{w}\\Periodic (monthly) rate = annual interest rate $\div$ 12\\\\Finance Charge = previous balance $\times$ periodic rate\\\\Unpaid Balance = previous balance + finance charge +\\\phantom{wwwwwwwwwww} new purchases - returns - payments\\\end{minipage}}[/tex]

The periodic rate is the interest rate charged over a certain number of time periods. The interest on a credit card is usually calculated monthly, so if the annual interest rate is 21%, then the periodic (monthly) rate is:

[tex]\text{Periodic Rate}=\dfrac{21\%}{12}=1.75\%=0.0175[/tex]

The unpaid balance is "last month's balance", which is $385.

Calculate the finance change by multiplying the previous balance (last month's balance) by the periodic rate:

[tex]\begin{aligned}\text{Finance change} &=\rm previous\; balance \times periodic\;rate \\&=\$385 \times 0.0175 \\&= \$6.7375\end{aligned}[/tex]

Calculate the unpaid balance by subtracting the returns and payments from the sum of the previous balance, finance charge and new purchases:

[tex]\begin{aligned}\rm Unpaid \; Balance &= \rm previous\; balance + finance\;charge +new \;purchases\\&\phantom{=w}\rm - returns - payments\\&= \$385 + \$6.7375 + \$303 - \$158 - \$250 \\&= \$286.7375\end{aligned}[/tex]

Finally, to calculate the current month's finance charge, multiply the unpaid balance by the periodic rate:

[tex]\begin{aligned}\text{Current month's finance charge}&=\rm unpaid \;balance\times periodic \;rate\\&=\$286.7375 \times 0.0175 \\&= \$5.02\; \text{(nearest cent)}\end{aligned}[/tex]

Therefore, the current month's finance charge is $5.02 to the nearest cent.

can I have help pls

Answers

Answer:

1. b

2. a

3. a

Step-by-step explanation:

1. the answer is x=7

2 and 3 answer is x = R which isn't really a real solution

Answer: it is right same exact test i did

If 600 people were surveyed in order to make this pie chart, how many people say they take the bus? 20 points

Answers

Answer:

if 600 people were surveyed it means that 10% equals 60 since 60x10=600. Since we now know that 10% is 60, this would mean that 20% is 120. meaning that 120 people took the bus

I need help on a question i don't know!

Answers

Answer:

20:4

Step-by-step explanation:

got it for u

URGENT PLEASE HELP

Assume the graph of a function of the form y = acos(k(x-b)) is given below.
Which of the following are possible values for a, k, and b?
-4
F3
-
he
T

3x
4
4
2.
-1
12
O A. a = 4, k= 2, and b = -
4
O B. a = 2, k = 4, and b = ?
4
O c. a = 4, k = 2, and b =
4
O D. a = 4, k = 2, and b = ?
4

Answers

The possible values of for a, k, and b from the graph of the function will be D. a=4, k=2, b= pi/4.

What is a function?

A function simply means a relation between the set of inputs and the outputs.

A function from set X to set Y assigns each element of X to Y. In this case, the set X is the domain while the set Y is the codomain.

From the graph attached, it can be seen that the values of for a, k, and b from the graph of the function will be a=4, k=2, b= pi/4.

Learn more about functions on:

https://brainly.com/question/25841119

please help me with rhis question​

Answers

Answer:

He is correct!

Step-by-step explanation:

one quarter of 9 is 2.25 cause if u divide 9 by 2, you get 4.50 which is one half, so if you divide 4.50 by 2 you get 2.25 which is one quarter of 9

Bill's chocolate bar is 69% cocoa. If the weight of the chocolate bar is 83 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.

Answers

Answer:

Bill's bar has 57.3 grams of cocoa.

Step-by-step explanation:

The math part that your question is asking is: What is 69% of 83?

In order to use the percent 69% in a calculation, you need to change it to a decimal.

69% is 0.69

You move the decimal to the left, two places.

69% is 69.% If you don't see a decimal to start with and it is a whole number, then the decimal is starting on the right.

Move it two places to the left, you get

.69

Now MULTIPLY.

.69 × 83

= 57.27

ROUND your answer to the nearest tenth. That means only one digit to the right of the decimal.

57.27 rounds to 57.3

Bill's bar has 57.3 grams of cocoa.


8. How tall do the people in your immediate
and extended family tend to be?

Answers

Answer:

maybe 5,5-6 foot. don't really keep track I just know they are almost as tall as me

Simplify each and write it as a mix number

12/14

27/90

Answers

Step-by-step explanation:

Divide 12/14 by 2:

[tex]\frac{12 \div 2}{14 \div 2} =\frac{6}{7}[/tex]

Simplified. Can't be a mixed number, less than 1.

Divide 27/90 by 9:

[tex]\frac{27 \div 9}{90 \div 9} =\frac{3}{10}[/tex]

Simplified. Can't be a mixed number, less than 1.

Other Questions
Why do you think it was important to the Allies that they successfullydevelop an atomic bomb before the Axis? The sum of two one numbers, one of which is one thirds of the other, is 60. Find the smaller number Passage:adapted from Little Womenby Louisa M. Alcott Down they went, feeling timid, for they seldom went to parties, and, casual as this little gathering was, it was an event to them. Mrs. Gardiner, an old lady, greeted them kindly and handed them over to the eldest of her six daughters. Meg knew Sallie and was at her ease very soon, but Jo, who did not care much for girls or girlish gossip, stood about, with her back carefully against the wall, and felt out of place. Some boys were talking about skates in another part of the room. Jo longed to go and join them, for she enjoyed skating. She telegraphed her wish to Meg, but her eyebrows went up so alarmingly that she dared not to stir. No one came to talk to her, and one by one, the group near her faded away, until she was left alone. She stared at people rather gloomily until the dancing began. Meg was asked at once, and the tight slippers tripped about so briskly that none would have guessed the pain their wearer suffered smilingly. Jo saw a big red-headed youth approaching her corner, and fearing he meant to engage her, she slipped behind a curtain, intending to peep and enjoy herself in peace.Question:How does the point of view affect the plot of the passage?A. It allows the reader to understand what makes Meg feel so confident.B. It allows the reader to understand how Meg feels about the guests.C. It allows the reader to understand how the guests react to Meg and Jo.D. It allows the reader to understand what causes Jo to feel like an outsider. A certain kind of light has a wavelength of 850 nm. What is the frequency of this light in hz?. why is the chapter perfect day ironic title for chapter 10 bridge to terabithia Divide. Write the answer in simplest form.2 7/9 divided by 2 English language give five words with transcription /l/ Amid the many horrors of the Vietnam War, I found one of the worst to be the waiting those quiet times of inactivity when anticipation of the next attack weighed on me likea pile of bricks. I might be lying in the mud along a creek bed Somewhere, completely oblivious to the cold, the wet earth, or the smell of gunpowder still fresh in my nostrils. It was those times of waiting that showed me l had nothing else in my mind no past, no future, no ideas. Just a raw awareness of the moment Which sentence best uses figurative language to match the paragraphis tone? o A. The jungle had reached into my mind, and its thick vines choked out everything else that had been there B. For years after that, I would remember the terror and suspense of those long minutes spent waiting C. Icould hear my own pulse drumming in my ears, but my only thought was to remain still and quiet D. In the quietof the jungle, the rippling sounds of the creek carried me back to happier days on my parents fam One year, the population of a city was 105,000. Several years later it was 95,550. Find the percent decrease. Which list is in order from least to greatest? 50 pointsTwo-thirds, StartFraction 6 Over 10 EndFraction, StartFraction 5 Over 8 EndFractionStartFraction 6 Over 10 EndFractionStartFraction 6 Over 10 EndFraction, StartFraction 5 Over 8 EndFraction, Two-thirdsStartFraction 6 Over 10 EndFraction, Two-thirds, StartFraction 5 Over 8 EndFraction what is the median and mode of 28,34,34,50,54 Which tactics were used by protestors to gain attention to the womens rights movement? Check all that apply.petitioning politicians by writing letters and newspaper articles addressing voting rightspicketing outside the White House with messages to the president written on signsnegotiating with anti-suffrage groups to reach a compromise and work togetherearning high wages at jobs usually given to men and donating the money to suffrage groupsengaging in behavior to attract public attention such as refusing to eat in prison Ecrire un pome damour A saving account pays a 3% simple annual interest rate. How much must you put in the saving account to earn $100 in interest in 6 months? HELP PlS Sedi LUPICSLearningDiagnosticAnalyticsA factory makes 7,000 breath mints per day. How many breath mints will the factory make in3 days?breath mintsSubmitI don't know this 9. Which writing purpose is appropriate for a personal narrative titled Lessons Learned: My Summer Job?to reflect on an experienceto entertain readersto encourage changeto inform readers There'ssome nice in the cupboardPositive or negative form to write There are 17 female students in a chemistry class. If the class is 54.84% female, howstudents are in the chemistry class?many total students are in the chemistry class? True or false: Assuming the rocks are undisturbed since they were formed, overlying sedimentary layers are older than those that are beneath them. Help me with this (who ever gets it correct gets brainlest)