which of the following equations is equivalent to y=lnx?
a. y=e^x
b. x=e^y
c. x=y^e
d. y=x^e

Answers

Answer 1

Answer:

B. x=e^y

Step-by-step explanation:

Took the quiz.

Answer 2

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the expression  y=ln(x). Therefore, if we simplify the expression then we can write,

y = ln (x)

Taking anti-log,

x = e^y

Hence, the correct option is B.

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Related Questions

sammy and two friends rented three life jackets and a sailboat . the life jackets were $3 each and boat was $12 an hour . The total cost was $81 . for how many hours did they rent the sailboat

Answers

3 life jackets  $3.00= $9.00

1 sailboat  $12.00/hr

Total cost = $93.00

93-9= 84

84/12= 7

7 hours

In September, Shalee had some money in her bank account. In October she earned $48.24 and put it in her account. In November she spent three-fourths of the money in her bank account on a dress. If she spent $68.28 on the dress, how much money did she have in her account in September?

Answers

Answer:

x = $42.8

Step-by-step explanation:

Let

Amount of money shalee has in Sept = $x

Shalee October earnings = $48.24

Total money = $x + $48.24

She spent 3/4 of the money on dress

3/4 of (x + 48.24) = $68.28

3/4 * x + 48.24 = 68.28

3/4x + 144.72/4 = 68.28

3/4x + 36.18 = 68.28

3/4x = 68.28 - 36.18

3/4x = 32.10

x = 32.10 ÷ 3/4

= 32.10 × 4/3

= 128.4/3

= 42.8

x = $42.8

Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$50.00
3%
?

Answers

Answer:

4.50

Step-by-step explanation:

Answer:

Sales tax:1.50, total cost:51.50

Step-by-step explanation:

price x sales tax rate = sales tax

50 x .03 (3%) = 1.50 sales tax

price + sales tax = total cost of item

50 + 1.50 = 51.50

Combine like terms:
8b + 8 -4b -3

Answers

The answer is 4b + 5. Hope this helps
4b+5

Yeah, good luck with the rest of your schoolwork :0


You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year?

Answers

Answer:

Choice A. $2,392 is the correct answer

Choice A is the correct one

I know I haven't been on this app for a long time but can ya'll help me

Answers

Answer:

2774

Step-by-step explanation:

start by multiplying 2 by 7, the answer is 14 put the 1 above the 8 in 1387 then put the 4 under the equation, similar to addition. repeat but next time when you multiply 2 by 8 add the 1 (from the previous multiplication) to the answer under and put the 1 from 17 on top of the 3. you get it?

PLEASE HELP ILL GIVE BRAINLIEST!!

Answers

180 deg rotation about the origin and a translation 2 units left

Adventure Time
Come on grab your friends
We'll go to very distant lands
With Jake the Dog and Finn the Human
The fun will never end, it's Adventure Time!

Answers

Answer:

so i graphed it and it does end

Step-by-step explanation:

Answer:

Adventure time is a great show they shouldve made more episodes

Step-by-step explanation:

Which statement best describes the behavior of the graph of 3x − 4y = 8?
A. The graph is a vertical line.
B. The graph is a horizontal line.
C. The graph is rising as x increases.
D. The graph is falling as x increases.

Answers

Answer:

B. The graph is a horizontal line.

Step-by-step explanation:

brainest plz

*PLS HELP MEE* There are 80 servings in a box of cereal. Each serving size is 1/8 of a cup of cereal. If one person eats 1 cup and another eats 3 cups, how many cups are left in the box of cereal?

Answers

Answer:

2 cups left in the ceral box!

Step-by-step explanation:

please just trust me i worked it out and got the answer and you just have to trust me please! MAY I HAVE BRAINLIEST IF ITS RIGHT? HAVE A GREAT DAY!!!

Which one should I choose

Answers

Answer:

-32

Step-by-step explanation:

((−4)(4))(2)

=−32

Answer:

-32

Step-by-step explanation:

hope this helps you out

What is the sum of 2x-5x+x+y

Answers

Answer:

-2x + y

Step-by-step explanation:

2x - 5x + x + y

combine all like terms ( x with x and y with y)

-2x + y

Hope this helps!!!

if f(x)=x^2+4x-12. find f(2)

Answers

Answer:

f(2) = 28

Step-by-step explanation:

By evaluating the function in x = 2 we will see that f(2) = 0.

How to evaluate a function?

Here we have:

[tex]f(x) = x^2 + 4x - 12[/tex]

and we want to find f(2), so we need to evaluate in x = 2.

To do this, we just replace the "x" in the function by the number 2, we will get:

[tex]f(2) = 2^2 + 4*2 - 12 = 4 + 8 - 12 = 0[/tex]

So we can conclude that f(2) = 0.

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Evaluate the expression when x = 9.2 and y = 3.4.
5xy

Answers

Answer:

5x9.2x3.4=156.4

Step-by-step explanation:

plug in 9.2 for x and 3.4 for y then multiply

Kendra knits hats. She starts with 334 yd of yarn. After knitting for 514 h, there is 118 yd of yarn left. At what rate does the amount of yarn change? Show your work.

Answers

Answer:

Step-by-step explanation:

Total yarn = 334 yards

Amount remaining = 118 yards

Amount knitted = 512

amount per hat =x

amount used = y

amount used = 334 - 118 = 514*x

y= 216= 514x

216 = 514 x         Divide by 514

216/514 = x

.42 yards/hat = x

2(4x-1) = -8x-2 no solution or infinitely many solution

Answers

The answer is No solution

Answer:

One solution only.

Step-by-step explanation:

2 ( 4x - 1 ) = -8x - 2

8x - 2 = -8x - 2

0 = 0

One solution only.

Very much need help

Answers

23x+3 and 6x+3 =180
Simplify> 29x+6 =180
Take away 6 each side
29x=180
Divide both sides by 29 and there’s your answer

i have a question, what is a number increased by twelve? in expression symbols . . .

Answers

Answer:

well it would be +12, does that answer your question?

Find the length of the hypotenuse of the right triangle.
40
048
041
None of the other answers are correct
40
26

Answers

Answer:

Ans. 41

Step-by-step explanation:

By using the formula of pythagoras theorem,

h^2 = p^2+b^2

or, h = sqrt(9^2+40^2)

or, h = sqrt(81+1600)

or, h = sqrt(1681)

or, h = sqrt(41^2)

or, h = 41 #

The length of a rectangle is 2 feet less than 4 times the width. The area is 256ft2. Find the dimensions of the rectangle.

Answers

Answer:

[tex]W = 8.255[/tex]

[tex]L = 31.02[/tex]

Step-by-step explanation:

Let L = Length and W = Width.

So:

[tex]L = 4W - 2[/tex]

[tex]Area = 256[/tex]

Required

Find L and W

Area is calculated as:

[tex]Area = L * W[/tex]

Substitute 4W - 2 for L and 256 for Area

[tex]Area = (4W - 2) * W[/tex]

[tex]256 = (4W - 2) * W[/tex]

Open Bracket

[tex]256 = 4W^2 - 2W[/tex]

Divide through by 2

[tex]128 = 2W^2 - W[/tex]

Equate to 0

[tex]2W^2 - W - 128 = 0[/tex]

An equation [tex]aw^2 + bw + c = 0[/tex] has the roots

[tex]W = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 2[/tex]   [tex]b = -1[/tex] [tex]c = -128[/tex]

So:

[tex]W = \frac{-(-1)\±\sqrt{(-1)^2 - 4*2*-128}}{2*2}[/tex]

[tex]W = \frac{1\±\sqrt{1 +1024}}{4}[/tex]

[tex]W = \frac{1\±\sqrt{1025}}{4}[/tex]

[tex]W = \frac{1\± 32.02}{4}[/tex]

[tex]W = \frac{1+ 32.02}{4}[/tex] or [tex]W = \frac{1 - 32.02}{4}[/tex]

[tex]W = \frac{33.02}{4}[/tex] or [tex]W = \frac{-31.02}{4}[/tex]

[tex]W = 8.255[/tex]  or [tex]W = -7.755[/tex]

But the dimension can not be negative.

So:

[tex]W = 8.255[/tex]

Recall:

[tex]L = 4W - 2[/tex]

[tex]L = 4 * 8.255 - 2[/tex]

[tex]L = 31.02[/tex]

f (x) = 3x + 5
Solve for x=5

Answers

Look at the attachment for work

5s - (-6s – 10) < 5s + 9 + 5s

Answers

Answer:

see in picture

...........

can you help me answer this question

Answers

Answer:

it would be 18 over 5

It’s 18 over 5 ok bye

Find the equation of the line that is parallel to the given line and passes through the given point.

y = −6x + 8; (4, 5)

The equation is y = .

Answers

Answer:

get smart

Step-by-step explanation:

Evaluate 1/2t + 3/8 when t= 1/4

Answers

Answer:

1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

1/2t + 3/8

t = 1/4

Step 2: Evaluate

Substitute:                    1/2(1/4) + 3/8Multiply:                        1/8 + 3/8Add:                              4/8Simplify:                        1/2
Half of 1/4 is 1/8
1/8 + 3/8 = 4/8 or 1/2
So the answer is 1/2
Hope I helped

Which system of equations is represented by the graph?

Answers

I believe the answer is D

17+(−8)+(−8) CAN YOU HELP GUY pls

Answers

Answer:

1

Step-by-step explanation:

17 + (-8) + (-8) = 17 + (-16)

                      = 1

If two numbers have same sign, then add and put the sign.

So, add (-8)and (-8), the result will have the sign (-).  -16

If two numbers have different sign, subtract and the result will have the sign of the bigger number.

17 and (-16) have different sign and the bigger number sign is +

So, the result is 1

Easy :PP

Answer~

1

Explination~you would start by adding (-8)+(-8)

-8 + -8

=

-16

Then add 17

-16 + 17

=

1

------------------------------------------------------------------------hope I helped!!

Pls help me with the answer

Answers

Answer:

I found out the answer, it's 2/3

Step-by-step explanation:

I hope that helped!

What’s the domain and range of a horizontal line?

What’s the domain and range of a vertical line?

Answers

Horizontal line would be y=1 (1 would change with whatever point the line goes through), vertical would be all real numbers which looks like a fancy R.

The horizontal line has infinite domains but a range that has only one value.

The vertical line has a domain is the -intercept, and its range is "all real numbers."

Given that,

The horizontal and vertical lines.

Since we know that,

Linear functions always have infinite domains and ranges.

The exception is when the graph is a horizontal line.

This happens for functions that equal a constant such as f(x) = a. These functions have infinite domains but a range that has only one value, a.

And, A vertical line that is the -axis has an infinite number of -intercepts. A vertical line is not a function;

Hence its domain is the -intercept, and its range is "all real numbers."

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find the slope of the line through each pair of points (6, 10) , (-1, 10)

Answers

Answer:

-7

Step-by-step explanation:

Slope is rise/run or change in y over change in x.

To calculate rise we subtract y2 from y1.

-1 - 6 = -7

RUN: -7

To calculate run we subtract x2 from x1.

10 - 10 = 0

RISE: 0

Slope is -7/0

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