Rewrite the expression in terms of in 2 and in 3
In(36)

Answers

Answer 1

Step-by-step explanation:

36 = 4×9 = 2×2×3×3

so,

ln(36) = ln(2×2×3×3) = ln(2) + ln(2) + ln(3) + ln(3) =

= 2×ln(2) + 2×ln(3) = 2×(ln(2) + ln(3))


Related Questions

solve pls brainliest

Answers

Answer:

Mixed Number: 5 [tex]\frac{7}{10}[/tex]

Improper Fraction:[tex]\frac{57}{10}[/tex]

Step-by-step explanation:

A mixed number is when you express the decimal as a fraction, 0.7 is the same as [tex]\frac{7}{10}[/tex], so 5[tex]\frac{7}{10}[/tex] is your answer.

An improper fraction is a fraction where the numerator is bigger than the denominator, to do this you multipy the whole number 5, which can be written as [tex]\frac{5}{1}[/tex], by [tex]\frac{10}{10}[/tex].

[tex]\frac{5}{1}[/tex]·[tex]\frac{10}{10}[/tex]=[tex]\frac{50}{10}[/tex]

Then add 0.7, or [tex]\frac{7}{10}[/tex].

[tex]\frac{50}{10}[/tex]+[tex]\frac{7}{10}[/tex]=[tex]\frac{57}{10}[/tex]

Would you please mark my answer brainliest if it helped you? :D

[tex]\sqrt{7} \times \sqrt{7}[/tex]

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required Answer is ~

[tex] \boxed{ \boxed{7}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex] \sqrt{7} \times \sqrt{7} [/tex]

[tex]( \sqrt{7} ) {}^{2} [/tex]

[tex]{( {7}^ {\frac{1}{2} }) }^{2} [/tex]

[tex]{(7) }^{ \frac{1}{2} \times 2} [/tex]

[tex] {7}^{1} [/tex]

[tex]7[/tex]

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

Answer:

[tex]\sf \longmapsto7[/tex]

Step-by-step explanation:

[tex] \sf \longmapsto \: \sqrt{7 }\times \sqrt{7} [/tex]

[tex]\sf \longmapsto \sqrt{7} [/tex]

[tex]\sf \longmapsto7[/tex]

Write the function for the graph.

A. f(x)= 4•(2)^x
B. f(x)= 2•(4)^x
C. f(x)= 8•(4)^x
D. f(x)= 4•(8)^x

Answers

Answer:

A) f(x) = 4•(2)^x

Step-by-step explanation:

When substituting in the values of x and y into the functions, the only function that works for both (0,4) and (1,8) is A.

8 = 4•(2)^1 = 4 x 2 = 8

4 = 4•(2)^0 = 4 x 1 = 4

Determine which of the lines, if any, are parallel or perpendicular.

Line a: 4y - 12x = 20
Line b: 3y = -x + 2
Linec: y = 3x - 1

Answers

Step-by-step explanation:

ma=3,mb=_1/3, mc=3a and c are parallelb aree perpendicular to a and c

If angle 4 = 100, what is angle 6?

Answers

Answer: 100

Step-by-step explanation:

Because the two horizontal lines are parallel and diagonal splits them, 4 and 6 are congruent so they have the same angle.

4, 2, 8 and 6 all have the same angles.

1, 3, 5 and 7 all have the same angles as well.

100 because it is the same angle as 4 and is reflected

Simple interest
A. cannot be paid by credit unions.
B. cannot be expressed as a percentage.
C. is another name for compound interest.
D. is paid only on the original principal.

Answers

Step-by-step explanation:

option D is correct according to my understanding

hope this answer helps you dear! take care

If m < WXY = 160 what are the m< WXZ and m < ZXY

Answers

Answer:

m< WXZ = 73

m< ZXY = 87

Step-by-step explanation:

WXY = WXZ + ZXY

WXY = 5x+8+7x-4

WXY = 12x+4

m < WXY = 160

160 = 12x + 4

156 = 12x

13 = x

WXZ = 5x + 8

= 5*13 + 8

= 73

ZXY = 7x - 4

= 7*13 - 4

= 87

[tex]\\ \sf\Rrightarrow 5x+8+7x-4=160[/tex]

[tex]\\ \sf\Rrightarrow 12x+4=160[/tex]

[tex]\\ \sf\Rrightarrow 12x=156[/tex]

[tex]\\ \sf\Rrightarrow x=13[/tex]

<WXY=5(13)+8=65+8=73<ZXY=7(13)-4=91-4=87

A bag contains 7 milk and 11 dark chocolates.
A sweet is selected at random.
What is the probability of choosing:

Answers

Answer and explanation:

Milk Chocolate would be 7/18

Dark Chocolate will be 11/18

Milk Chocolate is unlikely to be chosen

Dark Chocolate is likely to be chosen

Milk chocolate 7/18
Dark chocolate 11/18

What are corresponding angles

Answers

Answer:

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

The measure of an angle is 137°. What is the measure of its supplementary angle?

Answers

Answer:

43°

Step-by-step explanation:

that is the measure of its supplementary angle

Answer:

43 degrees

Step-by-step explanation:

180 - 137 = 43

hope this helped!

please help!!! i will make you brainliest!!

Answers

Step-by-step explanation:

Here's the answer, goodluck

ERROR ANALYSIS Describe and correct the error in identifying the terms, coefficients, and constants in the algebraic expression 2x2y

Answers

Given the algebraic expression,  [tex]2x^2y[/tex], the error in the analysis shown in the diagram attached is the wrong listing of terms.

The correct analysis is:

Term: [tex]2x^2y[/tex]Coefficient: 2Constant: None

Recall:

Given an expression, say, [tex]2x^2 + 4x + 5[/tex].

The expression has 3 terms, namely: [tex]2x^2, 4x, $ and 5[/tex]The coefficients are: 2 and 4.The constant is: 5

Thus, we are given the expression, [tex]2x^2y[/tex],

The expression has only 1 term: [tex]2x^2y[/tex]

1 coefficient: 2

It has no constant.

Therefore, given the algebraic expression,  [tex]2x^2y[/tex], the error in the analysis shown in the diagram attached is the wrong listing of terms.

The correct analysis is:

Term: [tex]2x^2y[/tex]Coefficient: 2Constant: None

Learn more here:

https://brainly.com/question/4839601

a. What iS the slope of the line that passes through (-2, 3) and (4, -5)?

Answers

Answer:

slope = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 3 ) and (x₂, y₂ ) = (4, - 5 )

m = [tex]\frac{-5-3}{4-(-2)}[/tex] = [tex]\frac{-8}{4+2}[/tex] = [tex]\frac{-8}{6}[/tex] = - [tex]\frac{4}{3}[/tex]

Expand abs simplify root 5 ( root 10 + root 2)

Answers

Answer:

5\sqrt{2} + \sqrt{10}

Step-by-step explanation:

I assume the exp as [tex]\sqrt{5} (\sqrt{10} + \sqrt{2} )[/tex]

[tex]\sqrt{50 } + \sqrt{10}[/tex]

[tex]\sqrt{25*2} +\sqrt{10}[/tex]

[tex]5\sqrt{2} + \sqrt{10}[/tex]

The simplified form of the given expression [tex]\sqrt{5} (\sqrt{10} +\sqrt{2} )[/tex] will be  [tex]5\sqrt{2} + \sqrt{10}[/tex].

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

The given expression is as follows;

[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} )\\\\\sqrt{5} \times \sqrt{10} +\sqrt{5} \times\sqrt{2} \\\\\sqrt{25 \times 2} +\sqrt{10}\\\\5\sqrt{2} +\sqrt{10}[/tex]

Hence, the simplified form of the given expression is [tex]5\sqrt{2} + \sqrt{10}[/tex].

Learn more about square;

https://brainly.com/question/14198272

#SPJ2

If x+y= -4 and xy=2, then find the value of x²+y²​

Answers

Answer:

x² + y² = 12

Step-by-step explanation:

x + y = -4

xy = 2

x² + y² = (x+y)² - 2xy = (-4)² - 2(2) = 16 - 4 = 12

X+y = -4
Xy=2

(x+y)^2= x^2+y^2+2xy
(-4)^2=x^2+y^2+2(2)
16 = x^2+y^2+4
x^2+y^2=16-4
Therefore x^2+y^2 = 12

11. Commercial jets fly between 30,000 ft and 36,000 ft. About how many hours of growing could
pass before the beanstalk might interfere with commercial aircrafts? Explain how you got your
answer

Answers

An exponential function is a function that increases rapidly as the time increases.

The number of hours that passes before the magical beanstalk interferes with commercial flight is approximately 9.384 hours.

Reasons:

The function that gives the height of a beanstalk is presented as follows;

b(t) = [tex]3^t[/tex]

When the height is 30,000 ft., we have;

30,000 = [tex]3^t[/tex]

㏑(30,000) = t·㏑(3)

[tex]\displaystyle t = \mathbf{\frac{ln(30,000)}{ln(3)}} \approx 9.384[/tex]

The time it would take the beanstalk to grow 30,000 ft., t ≈ 9.384 hours

Similarly, the time it would take the beanstalk to grow to 36,000 ft. is found as follows;

[tex]\displaystyle t_{36,000} = \mathbf{\frac{ln(36,000)}{ln(3)}} \approx 9.55[/tex]

The time it would take the beanstalk to grow 36,000 ft., t ≈ 9.55 hours

The number of hours it will take the beanstalk to grow to 30,000 feet at

which it might interfere with commercial aircrafts is 9.384 hours.

Learn more here:

https://brainly.com/question/13917934

Which of the following statements is NOT true?


ILL GIVE BRAINLIEST

Answers

Answer:

The answer to that is the ratios of the rise to the run for the triangles are equivalent

118 divided by 8
sfw ertvw4brt4ryt4yyydhfertgerf

Answers

Answer:

14.75 or 14 with remainder 6

Answer: 14.75

Step-by-step explanation:

helpppp me please!!!! asapppppppo thank you!

Answers

Answer:

3

Step-by-step explanation:

=> y= log _5 125

=> y = log _5 5³

Using properties of log ,

=> y = 3 log_5 5

= > y = 3*1

=> y= 3

Solution:

[tex]y = log_{5}(125) \\ = > y = log_{5}( {5}^{3} ) \\ = > y = 3 log_{5}(5) \\ = > y = 3 \times 1 \\ = > y = 3[/tex]

Answer:

y = 3

Hope it helps.

Do comment if you have any query.

The length of the rectangle is 2x + 8 cm and the width is 2cm . The area of the rectangle is 12 cm​

Answers

Answer:

x = - 1

Step-by-step explanation:

Length ( l ) = 2x + 8 cm

Width / Breadth ( b ) = 2 cm

Area ( rectangle ) = 12 cm

Formula : -

Area ( rectangle ) = lb

12 = ( 2x + 8 ) ( 2 )

Divide 2 on both sides,

12 / 2 = ( 2x + 8 ) ( 2 ) / 2

6 = 2x + 8

2x + 8 = 6

2x = 6 - 8

2x = - 2

x = - 2 / 2

x = - 1

PLS HELP WILL MARK BRAINLIEST!!!!!!!!
answer both questions (they are two separate questions)

Answers

[tex] \frac{ {x }^{12} }{ {x}^{6} } = \\ [/tex]

[tex] {x}^{12 -6 } =[/tex]

[tex] {x}^{6} [/tex]

Thus c is the correct option .

_____________________________________________

[tex] \frac{ - 57 {y}^{2} {z}^{3} }{3 {y}^{5} {z}^{3} } = \\ [/tex]

[tex] \frac{ - 19 \times 3 {y}^{2} {z}^{3} }{ {y}^{3} \times 3 {y}^{2} {z}^{3} } = \\ [/tex]

[tex] \frac{ - 19}{ {y}^{3} } \\ [/tex]

Thus a is the correct option .

look at the example. how would the quotient change if the total number of seats was 3,200 instead of 320? explain

Answers

If the total number of seats is 3200 instead of 320, then the quotient will change by a product of 10

The dividends are given as: 3200 and 320

By comparing 3200 and 320, we have:

3200 > 320 i.e. 3200 is greater than 3203200 = 320 * 10 i.e. 3200 is greater than 320 ten times

Quotient is simply the result gotten from dividing two quantities.

This means that:

If the total number of seats is 3200 instead of 320, then the quotient will change by a product of 10

Read more about quotients at:

https://brainly.com/question/16134410

(2x + 3) times (5x + 6)​

Answers

10x (squared) plus 27x plus 18
x=3/-2 is the answer

write the equation of the line that passes through the points (3,1) and (-2,6) in slope intercept form

Answers

Answer:

y = - x + 4

Step-by-step explanation:

First find slope:

6-1/-2-3 = 5/-5 = -1

Then plug one point and slope into point slope form: y-y1 = k (x-x1)

Plug in (3, 1) and slope -1 --> y-1 = -1(x-3)

Simplify --> y - 1 = - x + 4

Then add 1 to both sides --> y = -x + 4

PLEASE HELP GIVING BRAINLIEST! :)

Answers

Answer:

10

Step-by-step explanation:

3a+b - 4

Let a =3 and b = 5

3(3) +5 -4

Multiply

9+5-4

Add and subtract

14-4

10

Answer:

10

Step-by-step explanation:

a = 3b = 5

= 3a + b - 4

= 3(3) + 5 - 4

= (3 . 3) + 5 - 4

= 9 + 5 - 4

= 9 + 1

= 10

The cylinder has a radius of 3 inches and a height of 9 inches. Find the volume of the

cylinder rounded to the nearest tenth.

Answers

Answer:

Volume = 254.3 inches². Step-by-step explanation: The formula for determining the volume of a cylinder is expressed as.Step-by-step explanation:

what is h(6)?

PLS HELP I FAILED THIS TEST TWICE

Answers

Answer:

the answer should be b (14)

Answer: hydrogen 6

Step-by-step explanation:

The math club had 20 members. Now it has 30 members. Find the percent of change.

Answers

The membership increased from 20 to 30.

That's an increase of 10 members.

10 members is how much of the original 20 ?

10 members is HALF of the original 20.

The membership increased by HALF.

The membership increased by 50% .

[tex]\sqrt{6}\:\times \sqrt{6}\:[/tex]

Answers

Answer:

6

Step-by-step explanation:

[tex]\sqrt{6} *\sqrt{6}[/tex]

[tex]\sqrt{6*6} \\\sqrt{6^2}[/tex]

6

please i need a helping hand


Jessie's mom gave her some money to go shopping. She has $100 to spend on new shirts at the store. The store Jessie chooses is having a sale; all shirts cost $10. The function T(s)=10s represents the total cost of the shirts, where s is the number of shirts purchased. What is the domain of T(s) in this context?

Question 9 options:

all non-negative integers that are multiples of 10


all whole numbers


all non-negative rational numbers


all non-negative integers less than or equal to 10

Answers

Answer:

T(s)'s domain is A

Hope This Helps!!!

Answer:

d

Step-by-step explanation:

the shirts are only 10 dollars so that means that the domain is all negative numbers that are either equal to or less than 10, not the multiples.

Other Questions
How the end of World War I impacted the economic relationship between theUnited States and Europe? genre painting is a painting style depicting scenes from ordinary life especially domestic situations 1. In her_____ rush to get to work, she forgot to take her keys. 2. Their decision to move to Arizona was________ ; the heat nearly killed them that first summer. 3. The________ scream came from the apartment across the hall. 4. The clothes were________ , but Dana didnt have the time to go shopping. 1. (piercing, egregious, frenetic, shabby) 2. (frenetic, shabby, piercing, egregious) 3. (egregious, shabby, corollary, piercing) 4. (piercing, shabby, frenetic, pristine) The answer I need help so I don't have to.._. What feature is essential for managing code iterations within the provisioning and deprovisioning processes Which character in this paragraph demonstrates loyalty and kindness? WILL MARK BRAINLIESTAs Chief Forester and his men swarmed around the newcomers, they forgot about Robin Hood. The older woodsman took advantage of this opportunity to flee. Will, the younger one, started to follow him when he cast a glance at the imploring eyes of Robin. Will slashed Robin's bonds, and the lad sprang free!WillRobin Hoodthe Chief Foresterthe older woodsman what was it like when the Europeans arrived in the Americas Es responsable del pensamiento y de que conocemos como sentimientos Any help plz ? .. Which graph bet suits the following function?[tex]y=(\frac{8}{9})^{x}[/tex]Graph 1 - The x y-coordinate plane is given. The curve enters the window just above the x-axis, goes up and right becoming more steep, crosses the y-axis at y = 1, and exits the window at the approximate point (10, 3.2).Graph 2 - The x y-coordinate plane is given. The curve enters the window just below the x-axis, goes down and right becoming more steep, crosses the y-axis at y = 1, and exits the window at the approximate point (10, 3.2).Graph 3 - The x y-coordinate plane is given. The curve enters the window at the approximate point (10, 3.2), goes up and right becoming less steep, crosses the y-axis at y = 1, and exits the window just below the x-axis.Graph 4 - The x y-coordinate plane is given. The curve enters the window at the approximate point (10, 3.2), goes down and right becoming less steep, crosses the y-axis at y = 1, and exits the window just above the x-axis. How many four-digit numbers are divisible by 15 and have 15 as the two middle digits? The perimeter p of the rectangle equals 30. Find the value of X? What is the length of the hypotenuse of the triangle below?A. 1B. 9C. 182D. 812E. 18F. 92 solve for y:24=4x+6y what type of angles are 2 and 11 Solve 3(-n + 4) + 5n = 2nI know the answer, but how to find that answer? Solve for x[tex]-7 \geq \frac{3-5x}{5}[/tex] #Help plz #No spam -_-||#Quality answer needed what is One quater of 240 for an oxygen gas as 3000kelvin, calculate the characteristics vibrational temperature and the vibrational partition function given that the fundamental vibrational frequency of oxygen molecule obtain from Rama spectrum is 4405.3per cm