Find y in terms of x for ln(y)=ln(x)+2

Answers

Answer 1

Answer:

y = e²x

Step-by-step explanation:

Using the rules of logarithms

log y - log x = log ([tex]\frac{y}{x}[/tex] )

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

ln(y) = ln(x) + 2 ( subtract ln(x) from both sides )

ln(y) - ln(x) = 2

ln ([tex]\frac{y}{x}[/tex] ) = 2

[tex]\frac{y}{x}[/tex] = e² ( multiply both sides by x )

y = e²x


Related Questions

To eliminate the y terms and solve for x in the tewest steps, by which constants should the equations be multiplied by before
adding the equations together?
First equation: 4x - 3y = 34
Second equation: 3x + 2y - 17
The first equation should be multiplied by 2 and the second equation by 3.
The first equation should be multiplied by 2 and the second equation by -3.
The first equation should be multiplied by 3 and the second equation by 4.
The first equation should be multiplied by 3 and the second equation by -4.

Answers

Answer:

First answer option:

"The first equation should be multiplied by 2 and the second equation by 3. "

Step-by-step explanation:

The first equation should be multiplied by 2 and the second equation by 3. This way the term in y in the first equation becomes "(2) (-3y) = -6y", and the term in y in the second equation becomes "(3) (2y) = 6y" so when added term by term, the term in "y" disappears.

That is represented by the first statement in your list of possible answers

Find the areas of the trapezoids.

Answers

Rotate it 90 degrees so that the would be the top.

Area of a trapezoid = (top+ bottom)/2 x height.

Each line on the graph is 2 units.

Top = 2

Bottom = 8

Height = 6

Area = (2+8)/2x6 = 30square units

Same correct answer on top ! I got a similar answer to it

For which acute angle are the sine of the angle and cosine of the angle equal?

Answers

Answer:

∠45°

Step-by-step explanation:

When looking at a unit circle, the only acute angle (an angle between

0° and 90°) that consists of an equal sine and cosine is 45°. This is because:

[tex]sin 45 = \frac{\sqrt{2} }{2}[/tex]

[tex]cos45 = \frac{\sqrt{2} }{2}[/tex]

45° is the only acute angle that contains an equal sine and cosine.

Answer:

45 degrees

Step-by-step explanation:

Since Sin(90-x) = Cos(x), we can find that the angle at which 90-x=x is 45 degrees. This corresponds to [tex]\frac{\pi }{4}[/tex] radians

Write an equation in point-slope form for the line through the given point with the given slope.

(–3, –7); m = -6/5

Answers

Answer:

y+7= -6/5(x+3)

Step-by-step explanation:

Point slope form for a line is given by

y-y1 = m(x-x1) where m is the slope and (x1, y1) is a point on the line

y - -7 = -6/5(x - -3)

y+7= -6/5(x+3)

What type of triangle is this triangle?

acute isosceles

obtuse scalene

acute scalene

obtuse isosceles

Answers

Answer:

Scalene

Step-by-step explanation:

Because all of the sides are different lengths

it is a scalene triangle

Complete the square please.

Answers

Answer:

(x-3)^2 + (y+2)^2 = 9^2

Step-by-step explanation:

x^2 -6x+y^2+4y-68 = 0

Complete the square

x^2 -6x+y^2+4y-68+68 = 0+68

x^2 -6x+y^2+4y = 68

Find the term to add for x

-6 /2 = -3  -3^2 = 9

Find the term to add for y

4/2 =2  2^2 = 4

Add 9 and 4

x^2 -6x+9+y^2+4y+4 = 68+9+4

(x-3)^2 + (y+2)^2 = 81

(x-3)^2 + (y+2)^2 = 9^2

The standard form is

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

Can somebody please explain number 15 and number 18 to me, I'm begging you I cannot do this to save my life I've been trying to do it for an hour now

Answers

Hey there! I’m happy to help!

NUMBER 15
To solve this problem we want to round to the nearest millionth. We cannot actually write out the entire number because it goes on forever, but we can expand long enough so we can round it the millions place.

One million has six zeroes. This means that a millionth is six decimal places over (0.000001 is one millionth). Same goes for other base ten numbers (100 has two zeroes, one hundredth is two decimal places over)

We see that there is a line over the 45 in our decimal. This means that after this 45 it is going to go 4545454545.... forever. We want to round to the nearest millionth. However, when you round, you need the next digit over. Let’s expand our to the ten millionth (seven digits.)
6.2145454............
Now, we look at our millionths place. The next place over is four. Therefore, we round down. Therefore, the answer is D) 6.214545

QUESTION 18
Solving questions like this is very simple. With proportions (two equal ratios of fractions) the product of the diagonal sides are equal. So, you just multiply the two numbers that are diagonal from each other and then divide it by the other number and you have your x. If you want, I can explain to you more why this works.

7(2/7)=2
2/2 1/4= 8/9

Therefore, the answer is 8/9.

I hope this has been helpful! If you need anymore help please ask! :D

Pippa has 18 puppies, 12 of the puppies have two ears. what is the percent of the puppies have two ears?

Answers

the percent is 66%
12/18 = 2/3 or 66%

Answer:

66.666% or 66.7% if rounded to the nearest one decimal place

Step-by-step explanation:

12÷18 × 100

lim(x,0) sqrtx+11 -sqrt11/x

Answers

Answer:

=11x=qrst/x

Step-by-step explanation:

Answer:

c. 1/2sqrt11

Step-by-step explanation:

edge

Which number line represents the solution set for inequality?

Answers

Answer:

Third graph down

Step-by-step explanation:

2x -6 ≥ 6(x-2)+8

Distribute

2x - 6≥6x -12+8

Combine like terms

2x - 6≥6x -4

Subtract 2x from each side

2x-6-2x ≥6x-2x-4

-6 ≥4x-12

Add 4 to each side

-6+4 ≥4x-4+4

-2 ≥4x

Divide by 4

-2/4 ≥4x/4

-1/2≥x

Closed circle at -1/2

Line going the the left

Transforma adjectivele:gustos,curat,luminoasa,inalta in substantive,apoi in verbe.Alcatuieste enunturi cu fiecare notiune care a rezultat.

Repede,va rog! :((

Answers

Answer:

To solve this problem, we need to transform the adjectives below to verbs.

Yummy : SavorClean : To cleanShiny : To shine

We can form the following sentences:

My siste savors the meal, and she thinks is yummy.I clean my apartment every single day, it's so clean.The sun shines all day, it's a shiny object.

4 yd 2 ft = _____ ft. Explain how you knew how to solve the problem.

Answers

Answer:

Square yard= 4        Square foot= 36

Step-by-step explanation:

Formula: Multiply the area value by 9

Answer: Square yard= 4        Square foot= 36

Hope this helps.

If a stack of 45 coins fits snugly in the coin wrapper shown, how thick is 1 coin?
coin
wrapper
d=21.17 mm V=28,470 mm

Answers

Answer:

1.797 mm

Step-by-step explanation:

The key to solving this problem is finding the length of the coin wrapper, or "height" of the cylinder.

The volume of a cylinder equation is:

V = hπr^2

- We want to find h

- We are given diameter and we will want the radius so we divide

21.17/2 = 10.585

r = 10.585

So to find h we manipulate the equation by dividing both sides by pi and r^2

resulting in the following:

h = [tex]\frac{V}{\pi r^2}[/tex]

now substitute given values and we get

h = [tex]\frac{28470}{\pi10.585^{2} }[/tex] = 80.883

Now to find the thickness of a single coin we divide the length of the sleeve (h) by the number of coins in the sleeve (45).

Thickness = 80.883/45 = 1.797 mm

a triangle has two sides of lengths 8and 10 what value could the length of the third side be

Answers

It could be between 18 and 2.

a roofer leaned a 19 ft ladder against the house with the base of the ladder is 6 feet from the house, how high up the house does the ladder reach?​

Answers

5square root 13 or 18.027

Help. Will give brainliest

Answers

Area A = 5*3 = 15
Area B = 6*2 = 12
Area A > Area B
Area = length*width

Answer:

The rectangle (A) has the largest area.

Step-by-step explanation:

To work out the area of the rectangle you have to multiply the width with the height.

A: 3 squares tall, and 5 squares wide. We have to multiply 3 with 5 which equals 15.

B: 2 squares tall, and 6 squares wide. We have to multiply 2 with 6 which equals 12.

The highest answer or area is 15. Which is Rectangle A.

What is the value of x

Answers

Answer:

52°

Step-by-step explanation:

By remote interior angle theorem of a triangle:

115° = 63° + x° ( x is the vertical angle of one interior angle of the triangle)

x° = 115° - 63°

x° = 52°

x = 52

Please Helppp :(((( A crew of highway workers paved 1/2 mile in 1/4 hour. If they work at the same rate, how much will they pave in one hour?

Answers

Answer:

120 miles is the answer

Fatima is on the track team. One day at practice, it took her 19 minutes to run 2 miles. Select the expression that gives this as a unit rate.

Answers

Answer:

Fatima's unit rate is 9.5 minutes per mile.

Step-by-step explanation:

To compute the one unit value of a variable divide the total values of n variables by n.

It is provided that it took Fatima 19 minutes to run 2 miles.

Then the unit rate at which Fatima runs is:

[tex]\text{Unit Rate}=\frac{19}{2}[/tex]

                [tex]=9.5[/tex]

Thus, Fatima's unit rate is 9.5 minutes per mile.

Find the value of x in the quadrilateral below.

Answers

Answer:

120

Step-by-step explanation:

The sum of the degrees in any quadrilateral is 360. So add up all of the degrees you know and subtract it from 360 to get your answer.

120 + 60 + 60 = 240

360 - 240 = 120

another way you know that's easier is the angles that are diagonal are equal to one another, so since x is diagonal to 120, it is equal to 120.

2 Points
Identify the range of the function shown in the graph.
O A. yis all numbers.
OB. -1 sys1
O C. y>-1
O D. {-1,1)

Answers

Answer:

  B.  -1 ≤ y ≤ 1

Step-by-step explanation:

The range is the vertical extent of the function. Here, it appears the function is a sine function (y=sin(x)). The least value of the function is -1; the greatest value is +1. The function can take on any value between these extremes.

An appropriate description of the range is ...

  -1 ≤ y ≤ 1

_____

Comment on problem presentation

Please use the appropriate math symbol (≤) to represent "less than or equal to." If you cannot use the equation editor or symbols page provided by Brainly, you can use the combination <= to mean the same thing. "S" or "s" does not convey the same information.

HELP PLEASEEEEE

Urgent ​

Answers

Answer:

The answer is b.

Step-by-step explanation:

If the for is filled than it is included

Factor: 9x^2 + 6x + 12x + 8 *
please help me

Answers

Answer & Step-by-step explanation:

9x² + 6x + 12x + 8

First, simplify the expression.

9x² + 18x + 8

Now that you have simplified the expression, you can start factoring it. First, you have 9x². You can factor into 3x and 3x because 3 times 3 is 9 and once you multiply x by x, you will get x².

(3x + )(3x + )

Now that we have this part of the factoring, we have to find the other part. We can do this by looking at our constant number. Constant meaning a number that does not have a variable beside it. So, in this case, our constant is 8. We can reduce 8 into 2 and 4 because 2 times 4 is 8.

(3x + 2)(3x + 4)

So, the factored form of 9x² + 6x + 12x + 8 is (3x + 2)(3x + 4)

Answer:

Step-by-step explanation:

Lower quartile of 6 8 10 12 14 15 15 20

Answers

Answer: The lower quartile is 6

Step-by-step explanation: To find the lower quartile of a set of data, we can find the median of the data and then find the median of the first half. This strategy is similar to dividing a cake into halves, and then dividing one of the halves in half so that you end up with a quarter of the cake.

Please help !!!!!’ Worth lots of points

Answers

Answer:

answer is the seconddd one

Yes the answer is B.

Given g(x)=-x-2, find g(1)

Answers

Answer:

G(x)=−12x2−2x

Step-by-step explanation:

Solve the equation: 6-3(-2-4x)= 2(3(x-4)+7)
A: x= 11/3
B: x=4
C: x= -29/6
D: x= -11/3

Answers

Answer:

the answer is d: x=-11/3

Find m ABC. Need help

Answers

Answer:

<ABC = 30°

Step-by-step explanation:

<ABC + <CBD = 90 [Complementary angles add up to 90°]

x+7+2x+14 = 90

3x + 21 = 90

3x = 90-21

3x = 69

Dividing both sides by 3

x = 23

Now

<ABC = 23+7

<ABC = 30°

Answer:

30 degrees

Step-by-step explanation:

The height of a triangle is 6x and the base is (3x + 10) cm. The area of the triangle is 816 sq. cm. What are the dimensions of the base and the height of the triangle?

Answers

Answer:

Height: 48

Base: 34

Step-by-step explanation:

The formula for a triangle is 1/2(base)(height)

1/2(3x+10)(6x) = 816

18x² + 60x = 1632

18x² + 60x - 1632 = 0

Then, we use the Quadratic formula

x = (-60 ± √3600 + 117,504)/36

x =( -60 ± 348/36)

x = 288/36

x = 8

3(8) + 10

= 34

6(8) = 48

Therefore the dimensions are:

Height: 48

Base: 34

A travel agency surveyed 1000 people to find out how many of them visited London and Paris. 310 people vistied London, 222 people visited Paris and 118 people visited both cities. How many people vistied none of these cities? A.414 B.104 C.192 D.586

Answers

Answer:

586

Step-by-step explanation:

Using set notation to answer the question.

let n(U) be the total number of people surveyed = 1000

n(L) be number of people that visited London = 310

n(P) be number of people that visited Paris = 222

n(P∩L) be number of people that visited both cities = 118

n(P∪L)' be number of people that visited none of the cities = x

n(U) = n(PUL) + n(PUL)'

We willl get n(PUL) using the formula;

n(PUL) = n(P)+ n(L)-n(P∩L)

n(PUL)= 222+310-118

n(PUL)= 414

Since n(U) = n(PUL) + n(PUL)'

1000 = 414+n(PUL)'

n(PUL)' = 1000-414

n(PUL)' = 586

586 peoples visitied none of these cities?

Other Questions
Brian lives in Denver and runs a business that sells pianos. In an average year, he receives $704,000 from selling pianos. Of this sales revenue, he must pay the manufacturer a wholesale cost of $404,000. He also pays wages and utility bills totaling $286,000. He owns his showroom; if he chooses to rent it out, he will receive $3,000 in rent per year. Assume that the value of this showroom does not depreciate over the year. Also, if Brian does not operate this piano business, he can work as an accountant and receive an annual salary of $20,000 with no additional monetary costs. No other costs are incurred in running this piano business.1. Identify each of Brian's costs in the following table as either an implicit cost or an explicit cost of selling pianos:Implicit CostExplicit CostThe wholesale cost for the pianos that Brian pays the manufacturerThe salary Brian could earn if he worked as an accountantThe wages and utility bills that Brian paysThe rental income Brian could receive if he chose to rent out his showroom2. Complete the following table by determining Brian's accounting and economic profit of his piano business.Profit $Accounting ProfitEconomic ProfitIf Brian's goal is to maximize his economic profit, should he stay in the piano business or rather work as an accountant? Find all values of x where f(x)=0 For every 1 litre of water used to make a medicine, 193ml of sucrose and 13ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form. 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Battery tests for the iPad Mini showed a mean life of 10.25 hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)? From 1985 to 2003, the total attendance A (in thousands) at NCAA womens basketball games can be modeled by =1.95^3 +70.1x^2 188+2150 where x is the number of years since 1985.a. What is the initial value of this function (the attendance in 1985)?b. Find the attendance for the year 1998. 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