If ex + e*-1= 2, then x =..

Answers

Answer 1

Note: Your equation seems a little unclear. But, I am assuming that your equation is:

[tex]e^x\:+\:e^{-1}=\:2[/tex]

Because my solution would still clear your concept about this topic, no matter what the question is.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]e^x\:+\:e^{-1}=\:2[/tex]

subtract [tex]e^{-1}[/tex] from both sides

[tex]e^x+e^{-1}-e^{-1}=2-e^{-1}[/tex]

[tex]e^x=2-\frac{1}{e}[/tex]

[tex]\ln \left(e^x\right)\:=\ln \:\left(2-\frac{1}{e}\right)[/tex]

[tex]\:x\cdot ln\left(e\right)=\ln \:\:\left(2-\frac{1}{e}\right)[/tex]

[tex]\:x\cdot 1=\ln \:\left(2-\frac{1}{e}\right)[/tex]       ∵ [tex]\:\:\ln \left(e\right)=1[/tex]

[tex]x=\ln \:\left(2-\frac{1}{e}\right)[/tex]    

[tex]x=0.5[/tex]


Related Questions

Plz I need this ASAP

Answers

Answer:

12

Step-by-step explanation:

1/3( 4×3)+8

1/3(12)+8

4+8

12

Answer:

b

Step-by-step explanation:

i think of a number x double it add eleven i get 25

Answers

Answer:

x=7

Step-by-step explanation:

CAN SOMEONE CREATE A QUESTION THEN MARK ME BRAINLIEST PLS I WILL MARK YOU BRAINLIST ON THIS QUESTION TOO BUT MAKE YOUR QUESTION ALSO

Answers

Answer:

ok go  answer one of my questions ill then give it to u

Answer:

ok i will it will  thx to you too

Step-by-step explanation:

What are the respective coefficients when the equation is balanced with the smallest whole number integer values?

Answers

Answer: That would be 4,3,2

Step-by-step explanation: Hope this helps

3.4z+ 2.8z =
I need help now!!!​

Answers

Answer:

6.2z

Step-by-step explanation:

its basically just 3.4 + 2.8 but you add a z.

Answer:

6.2z

Step-by-step explanation:

Basically adding 3.4 +2.8 getting 6.2 then adding z to the end of it

X^3 = 1000 for math please help

Answers

Answer:

x=10

Step-by-step explanation:

since there are 3 zeroes in 1,000

x is 10

because 10^3=1000

Answer:

10

Step-by-step explanation:

The image below shows the parts of the pair of similar triangles that we've solved for so far in the video. What is the length of side AB?

Answers

The answer is 8 because the second triangles sides are 1.5 times the first.

The teacher asked Jenny's class to solve the equation $5x - 6 = 4x + 9$. Jenny copied the coefficient of $x$ on the right-hand side incorrectly and wrote down a different equation. Jenny correctly determined that her equation had no solutions. What was the coefficient of $x$ on the right-hand side of Jenny's equation?

Answers

Answer:

15

Step-by-step explanation:

5x - 6 = 4x + 9

    +6         + 6

    5x = 4x + 15

  -4x     - 4x

x = 15

Help me please find which ones are the right triangles (10 points )

Answers

Answer:

i can't delete my answer but at first i thought it was just #7 but then i paid attention to the others and they all look like right triangles but idk fs sorry

Step-by-step explanation:

Find the time required for an investment of 5000 dollars to grow to 8300 dollars at an interest rate of 7.5
percent per year, compounded quarterly.

Your answer is t =
years.


You may enter the exact value or round to 2 decimal places.

Answers

Answer:

1.60 (rounded)

Step-by-step explanation:

I haven't done this in a while but you'd use the compound interest formula a=p(1+r)^n where a=8300 p=5000 r=0.075 and solve for n

Marvin rides his bike at an average speed of 13 miles per hour. How far can he bike in 8 hours?

Answers

Answer:

104 miles

Step-by-step explanation:

13 miles * 8 hours = 104 miles

Answer:

104 miles

Step-by-step explanation:

In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.

Answers

Answer:

5:6

Step-by-step explanation:

the ratio before would be 10/12 so you would have to divide both sides by 2 so you would get 5/6.Hope this helped

I have no idea what I'm doing​

Answers

We all know we get tired of the ads

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95% confidence interval with a maximum error of 0.09 reproductions per hour. Assuming that the mean is 6.6 reproductions and the variance is known to be 4.84, what is the minimum sample size required for the estimate? Round your answer up to the next integer.

Answers

Answer:

The minimum sample size is [tex]n = 2295 [/tex]    

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 0.09[/tex]

    The sample mean is  [tex]\= x = 6.6[/tex]

     The variance is  [tex]\sigma^2 = 4.84[/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma = \sqrt{\sigma^2}[/tex]

=> [tex]\sigma = \sqrt{4.84 }[/tex]

=> [tex]\sigma = 2.2[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>   [tex]n = [\frac{1.96  *  2.2 }{0.09} ] ^2[/tex]

=>   [tex]n = 2295 [/tex]    

Express the decimal: 0.60 as a fraction

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

[tex] \frac{60}{100} [/tex]

or more simplified:

[tex] \frac{6}{10} [/tex]

or more-more simplified:

[tex] \frac{3}{5} [/tex]

What is the correlation coefficient r for the data set?



Enter your answer to the nearest hundredth in the box.

r=



x y
25 240
26 242
27 230
28 229
28 220
28 219
29 200
30 202
31 184
32 180

I think its -0.95 but im not sure. please explain

Answers

Answer:

c

Step-by-step explanation:

Given that lines P & R are parallel, find the values of x and y.

Answers

Answer: Y = 17  and X = 43

Step-by-step explanation:

p and r are parallel meaning both angles are the same.

So

3y = 51

divide them by 3

y = 17

Now we take 51 from 180 and we get 129

129 divided by 3x is

x = 43

Are AC and DF definitely parallel? How do you know?

Answers

Answer:

We know that,

Angle E = 123

Angle B = 57

We observe that,

Angle DEB and Angle E form a linear pair and are supplementary.

Angle DEB + Angle E = 180

Angle DEB = 180-123

=57

We know that if two lines are parallel, the corresponding angles are equal.

Conversely, if the corresponding angles are equal, then the two lines are parallel.

Here,

As Angle B and Angle DEB are corresponding angles are equal in measure (Angle B = Angle DEB = 57), we can say that Line AC and Line DF are parallel.

Step-by-step explanation:

ang B = 180 - 57 = 123°

Since the corresponding angles are equal

So AC and DF are parallel to each other.

Which is the better buy?
2-quart carton of pineapple juice for $2.00
7-cup carton of pineapple juice for $3.01

Answers

Answer:

7-cup carton of pineapple juice for $3.01

Step-by-step explanation:

2-quart carton of pineapple juice for $2.00

2.00 : 2 = 1.00

check your work:  1.00 x 2 = 2.00

so for the first offer you will be paying $1.00 per quart

7-cup carton of pineapple juice for $3.01

1 cups = 0.25 quarts

7 cups = 1.75 quarts

3.01 : 7 = 0.43

check your work: 0.43 x 7 = 3.01

for the second offer you will be paying $0.43 per quart of juice. 7-cup carton of pineapple juice for $3.01 is a better buy because you will be paying less than half of the price for each quart  than the first offer.

hope this helps!

What is the lcm of 84,102 and 100

Answers

Step-by-step explanation:

[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]

[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]

[tex]\sf {3|{\underline{21,17,25}}}[/tex]

[tex]\sf {5|{\underline{7,17,25}}}[/tex]

[tex]\sf {\:\:{7,17,5}}[/tex]

LCM=2×2×3×5×7×17=7120

Find the least squares regression line for the data points. (Let x be the independent variable and y be the dependent variable.) (−1, 0), (1, −2), (3, −3)

Answers

Answer:

y = - 0.9167 - 0.75x

Step-by-step explanation:

Given the data:

(−1, 0), (1, −2), (3, −3)

X : - 1, 1, 3

Y : 0, - 2, - 3

The regression model is written in the form:

y = C + mx

Where ;

C = intercept ; m = slope / gradient

Using the regression model calculator on the data values given above :

Slope (m) = - 0.75

Intercept (c) = - 0.9167

Hence,

y = - 0.9167 - 0.75x

c

Answer gets the crown
What does an algorithm have to do with processing?

Algorithms are a series of steps
Algorithms have nothing to do with processing
Algorithms are the steps that would be converted into a program that a computer could use to process information, changing it from input to an output.
Algorithms are the steps that would be converted into a program that a computer could use to process information, changing it from output to input.

Answers

Answer: c. Algorithms are the steps that would be converted into a program that a computer could use to process information, changing it from input to an output.
Explanation: algorithms are steps that is used for data processing. It’s better to think of this as a flow chart. The input (usually from the user) goes in, the algorithm processes the information (this is where the input changes to an output), and spits out the output. This is the best answer out of all the options.

How do I find the lcm of a number .
Can you please explain to me

Answers

Let's find the LCM of 30 and 45. One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number.

i really need help and fast

Answers

i believe the correct answer is C

Answer:

D. 51, 53, 55, 58, 60

Step-by-step explanation:

Pardon the messiness!

/

Which statement is false?

A.
by SSS
B.
by SAS
C.
by SAS
D.

Answers

Answer:

sorry, i haven't understood your question!! how can i tell which statement is false.

a dragon can fly 80 miles in 2 hours. an alien can fly 58 miles in 4 hours.
how far can a dragon fly in 11 hour. and how far can the alien fly in 1 hour.

Answers

Answer:

an alien can fly 14.5 miles in 1 hour and a dragon can fly 440 miles in 11 hours

Step-by-step explanation:

PLz HELP I BEG I GIVE U BRAINLYEST

Answers

Answer:

I believe it is 19.8

Step-by-step explanation:

well if 9 is the number then I  would do

9.9 +

9.9

______

I get 19.8

Tell me if I am wrong :)

Answer:

a.b+c.d=_

Cancellation of the c here requires that it appears in each additive term of the numerator and denominator: ca + cb cd. = c(a + b) cd. = a + b d but ca + b.

Step-by-step explanatin:

you just had to add both of them together and I showed you how, and what the answer is.

A recipe for whole grain bread calls for 1 oz of rye flour for every 3 oz of whole wheat flour How many ounces of each kind of flour should be used to make a loaf of

bread weighing 22 oz?

Answers

Given :

A recipe for whole grain bread calls for 1 oz of rye flour for every 3 oz of whole wheat flour.

To Find :

How many ounces of each kind of flour should be used to make a loaf of

bread weighing 22 oz.

Solution :

It is given that ratio of rye and whole wheat flour is 1 : 3.

Let, amount of rye flour is x and amount of whole wheat flour is 3x.

So, x + 3x = 22

4x = 22

x = 5.5 oz

3x = 16.5 oz

Therefore, amount of rye flour and whole wheat flour is 5.5 and 16.5 oz respectively.

Hence, this is the required solution.

Angle A measures 4x + 40 degrees and angle B measures x – 10
degrees. If angles A and B are complementary, what is the
measure of angle B?

Answers

Answer:

Step-by-step explanation:

Since, angles A and B are complementary.

Therefore,

[tex] m\angle A + m\angle B = 90\degree \\\\

(4x +40)\degree + (x-10)\degree = 90\degree \\\\

(4x+x +40-10)\degree = 90\degree \\\\

(5x +30)\degree = 90\degree \\\\

5x + 30= 90\\\\

5x = 90 - 30\\\\

5x = 60\\\\

x = \frac{60}{5}\\\\

x = 12\\\\

m\angle B = (x-10)\degree \\\\

m\angle B = (112-10)\degree \\\\

m\angle B = 2\degree \\\\[/tex]

What is the measure of

Answers

Answer: w= 155

Step-by-step explanation:

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