Solve the equation :

In(5-x) = In5 - Inx,

giving your answers correct to 3 significant figures.

Answers

Answer 1

[tex]\ln(5-x) = \ln 5 - \ln x\\\\\implies \ln(5-x) + \ln x = \ln 5\\\\\implies \ln[(5-x)x] =\ln 5\\\\\implies \ln(5x -x^2) = \ln 5\\\\\implies 5x -x^2 = 5\\\\\implies x^2 -5x +5 =0\\\\\implies x = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 5}}{2(1)}\\\\\implies x = \dfrac{5 \pm \sqrt{5}}{2}\\\\\text{Hence} ~x = \dfrac 12\left(5 + \sqrt 5\right)=3.62~~ \text{and}~~ x =\dfrac 12 \left(5-\sqrt 5\right) =1.38[/tex]

Answer 2

Answer:

x1 = 3.618, x2 = 1.382

Step-by-step explanation:

ln(5-x) = ln5 - lnx

ln(5-x) + ln(x) = ln5

ln(5x-x^2) = ln5

5x-x^2=5

0=x^2-5x+5

x = -(-5)±√((-5)²-4(1)(5)) / 2(1)

x = 5±√(25-20) / 2

x = 5±√5 / 2

x1 = 3.618, x2 = 1.382


Related Questions

niko made a small pizza using 5 ounces of chease and 3 ounces of sauce he wants to make a large pizza with 10 ounces of chease using the same ratio of cheese sauce

Answers

Answer:

Step-by-step explanation: here I am pretty sure it is 6


What is the solution to this problem

Answers

(7^2 - 46 ) + (2^2 x 3 )
(49-46) + ( 4 x 3 )
(3) + (12)
= 15

I need help finding the value of z!

Answers

Answer:

thus

Step-by-step explanation:

Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.

write an equation of the line passing through point p that is parallel to the given line.


3. P(6,10),y=-3x+13

Answers

Answer:

Step-by-step explanation:

y=-3x+13

y = mx + b, where m is the slope and b is the y-intercept.

A line parallel to this line will have the same slope, -3.  We can start by writing:

y = -3x + b

No matter what is chosen for the value of b, this line will be parallel.  We do want the line to go through point (6,10), however.  The way that can be done is to find a value of b that would shift the line to go through (6,10).

Find b by entering the point (6,10) into the equation, and then solve for b:

y = -3x + b

10 = -3(6) + b

10 = -18 + b

b = 28

The line becomes y = 3x + 28

See the attachment.

solve the equation 0.35(x + 4) 0.2

Answers

Answer:

7 • (x + 4)

 ———————————

 100    

Step-by-step explanation:

0.2" was replaced by "(2/10)". 2 more similar replacement(s)

STEP1:        1

Simplify    1

                 -

                5

Equation at the end of step1:

   35              1

 (——— • (x + 4)) • —

  100              5

STEP2:

                 7

Simplify   ——

                 20

Equation at the end of step2:

   7              1

 (—— • (x + 4)) • —

  20              5

STEP3:

Equation at the end of step 3

 7 • (x + 4)   1

 ——————————— • —

  20            5

STEP4:

Final result :

 7 • (x + 4)

 ———————————

 100    

A police car drives 144 km in 240 minutes. what is its average speed in kilometers per hour?

Answers

Answer: 36km/hour

Explanation: 144/4

The product of 0.4 and a number is 8 write a mathematical expression to represent the verbal expression. Use n for the variable solve the expression

Answers

Answer:

0.4n = 8

n = 20

Step-by-step explanation:

0.4n = 8

n = 8 / 0.4

n = 20

ayden evaluated the expression a ÷ (2 + 1.5) for a = 14. He said that the value of the expression was 8.5. Select all the statements that are true.

Jayden's solution is incorrect.

Jayden added inside the parentheses before dividing.

Jayden substituted the wrong value for a.

Jayden divided 14 by 2 and then added 1.5.

Jayden added inside the parentheses before multiplying.

Answers

Answer:

Jayden's solution is incorrect.

Jayden divided 14 by 2 and then added 1.5

Jayden substituted the wrong value for a.

12
The solution to the system of equations below
is (x,y).
3x+y=13
2x - 4y = 18
What is the value of x?

Answers

Answer:

The value of x is 5

Sofia walks from her house to the park. She reaches the park at 5 5 : : 25 25 . If it is a 40 40 -minute walk, what time did she leave her house?

Answers

Answer:

4:45

Step-by-step explanation:

hope this helps

A filing cabinet measures 5 feet high 18 inches wide and 2 feet deep. what is the volume of the filing cabinet?

Answers

Answer: 15 cubic feet

Explanation:

18 inches = 18/12 = 1.5 feet

The cabinet is 5 ft by 1.5 ft by 2 ft. Multiply the values to get 5*1.5*2 = 15

A graph of y=f(x) is given. No formula for f is given. Find the graph of g(x)=f(-1/2x).

Answers

Answer:

B

Step-by-step explanation:

To do this, we'll need to understand the skeleton form of transformations and what each variable represents in the equation. We have y = a(x-h) + k, where a represents vertical scaling, h the horizontal shift, and k the vertical shift.

So in this case, we need to reflect the graph over the y axis and horizontally scale it by a factor of 2 (i.e. stretch the graph horizontally). The answer is B.

The bill at a. Restaurant came to 136 dollars and 40 sents the paytrons decided to leave a 15 percent tip what was the total bill including the tip

Answers

Answer:

$ 156.86

Step-by-step explanation:

We have been given that the bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip.

The total bill including tip would 136.40 plus 15% of136.40plus15136.40.

\text{Total bill}=\$136.40+\frac{15}{100}\times \$136.40Total bill=$136.40+10015×$136.40

\text{Total bill}=\$136.40+0.15\times \$136.40Total bill=$136.40+0.15×$136.40

\text{Total bill}=\$136.40+\$20.46Total bill=$136.40+$20.46

\text{Total bill}=\$156.86Total bill=$156.86

Therefore, the total cost of bill including tip would be $156.86.

$136.40 / 15% = $20.46
$136.40 + $20.46 = $156.86

Your answer: $156.86

I need help with this please hurry it's timed​

Answers

Answer:

60 inches

Step-by-step explanation:

26^2+54^2 = 3592

[sqrt]3592 = 59.9 --> 60inches

Select the correct answer.
Which phrase best describes the relationship indicated by the scatter plot?
a. constant Correlation
b. negative Correlation
c. Positive correlation
d. no correlation

Answers

Answer:

no correlation

Step-by-step explanation:

they arent in a line

The phrase that best describes the relationship indicated by the scatter plot is D. No correlation

What is a Scatter Plot?

This refers to the use of dots to represent values for two different numeric variables.

Hence, we can see that the best description that can be used to show the relationship in the scatter plot is option D which is no correlation because they are not in a line.

Read more about scatter plots here:

https://brainly.com/question/6592115

#SPJ2

hehehejejwjjejejjejejwkwkwkekekejjeue

Answers

Answer: The last answer is correct.

Step-by-step explanation:

−4x−2 + 3y0 if x = 2 and y = 5

Answers

Hey there!

-4x^-2 + 3y^0

= -4(2)^-2 + 3(5)^0

= -4(1/4) + 3(5)^0

= -1 + 3(5^0)

= -1 + 3(1)

= -1 + 3

= 2

Therefore, the answer should be: 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Michelle paid $3.00 per shirt. When she sells each shirt, she adds 150% markup to the price she paid for the shirt. What is the selling price for each shirt?

Answers

Answer:

$8.50 per shirt

Step-by-step explanation:

If the shirt was $3 originally, and they added 150% markup, 100% of 3 is 3.

so a 100% markup of a $3 shirt would be 6 dollars.

But since she marked it up 150%, you have to know 50% of $3.  

50% of something is half, so

3 / 2 = 1.5

so ontop of the $3 extra, she adds $1.5, so

3 + 3 + 1.5 = 8.5

Michelle will sell the shirts for $8.50 each

Consider the following function. f(x)= 4x+7 Place the steps for finding f -1(x) in the correct order.

Answers

Answer:

To find an inverse, you need to replace f(x) with y. Then switch the x and y's in your equation and solve for y.  This will find f^-1(x).

Step-by-step explanation:

help please, i'm confused

Answers

Answer: C

Step-by-step explanation:

Answer huuhHH

Step-by-step explanation:

The football team has a total of 350 jerseys. There are 154 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?


Pls help me

Answers

Answer:

Step-by-step explanation:

Given : The total number of jerseys = 350

The number of medium-sized jerseys = 154

Then, the percent of the jerseys are medium-sized jerseys will be :-

\begin{gathered}\dfrac{\text{Number of medium-sized jerseys }}{\text{Total jerseys}}\times100\\\\=\dfrac{154}{350}\times100\\\\=0.44\times100=44\%\end{gathered}

Total jerseys

Number of medium-sized jerseys

×100

=

350

154

×100

=0.44×100=44%

Therefore , the percent of the jerseys are medium-sized jerseys = 44%
your answer would be 44%

3 movie tickets cost 3690$. At this rate, the cost per ticket is $....

Answers

Answer: The cost per ticket is $1,230.

Explanation: 3,690/3 = 1,230.

Answer: The cost for each ticket is $1,230.

Step-by-step explanation:

2 x 5 x 0 please help

Answers

0

0 multiplied by anything is going to always be 0

Pls answer will give brainiest

Answers

Answer:

8/15

Step-by-step explanation:

1/5 + 1/3 = 3/15 + 5/15 = 8/15

13,22,31,...
Find the 31st term.
Find the 31st term.

Answers

Answer:

The 31st term is 283

Step-by-step explanation:

The sequence has a common difference therefore, it is an arithmetic sequence

[tex]an = a1 + (n - 1)d[/tex]

a31 = 13 + ( 31-1 ) 9

a31 = 13 + 270

a31 = 283

Help help help math please last one be honest

Answers

Answer:

122 degrees

Step-by-step explanation:

The two intersecting lines are parallel for this problem, which means that the angle next to angle3 is the same degree measure as the one that is 58 degrees.

Also, remember that two angles next to each other on a straight line are supplementary, meaning that they add to 180 degrees.

When keeping these two things in mind, you can solve like this:

180 = angle3 + 58

180 - 58 = angle3

angle3 = 122

122 degrees

Larry wishes to invest $1500. he can invest in an investment club which pays simple interest of 8% for 3 years. what is the amount in his account after three years?

A. $1830

B. $1860

C. $5024

D. $1524

Answers

First of all we have to find 8% of $1500
1500x8/100=120
Then, 120x3=360
After, 360+1500=1860
Answer is B. $1860

Keri has some ball bearings. Each one is in the shape of a sphere with a radius of 6 mm.
(a) Find the volume of one ball bearing. Give your answer in mm3 in terms of pi

Answers

What kind of balls??

5x – 1 = 7x – 4


operacion y comprobacion prfa

Answers

Answer:

x=3/2 Espero que esto te ayude

Answer:

x=3/2

hope this helps mate

state whether each of the following equations represent growth or decay.

Answers

Answer:

ehhh Pfouto math ni

dali raka AA yooo

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