Solve the equation below. Show all work and round four decimal places.
In(x^4)=6

Answers

Answer 1

Answer:

The solution is [tex]x = 4.4817[/tex]

Step-by-step explanation:

The inverse of the ln function is the exponential, which means that to solve this question, we apply the exponential to both sides.

We have that:

[tex]\ln{(x^4)} = 6[/tex]

Applying exponential to both sides:

[tex]e^{\ln{(x^4)}} = e^6[/tex]

[tex]x^4 = e^6[/tex]

[tex]x = \sqrt[4]{e^6}[/tex]

[tex]x = (e^6)^{\frac{1}{4}}[/tex]

[tex]x = 4.4817[/tex]

The solution is [tex]x = 4.4817[/tex]


Related Questions

Which expression is equivalent to -6(3x-3)?
O 2x+4
2
-3X-6
O 3 6
-18.X+ 12
- 15x+4

Answers

your answer is right
-18x+4 is the correct answer

Find -12.75-5.25=
Write your answer as a decimal

Answers

Answer:

-18.00

Step-by-step explanation:

-12.75-5.25

Its going to be a negative number since the greatest number is a negative.

Since its both negative signs you add

12.75+5.25=18.00

Now make it negative.

-18.00

Hope this helps!!!

Have a great day!!! :)

✎Question:Amirah is 4 years elder than Priya and Shirley is 2 years younger than Priya. If the sum of their ages is 47, find their respective ages ✔​

Answers

Answer:

Priya's age = 15

Amirah's age = 19

Shirley's age = 13

Step-by-step explanation:

Let x be the age of Priya.

According to the question,

Amirah's age = x + 4

Shirley's age = x - 2

Their sum is 47.

So,

x + 4 + x + x - 2 = 47

3x + 2 = 47

3x = 47 - 2

3x = 45

x = 45/3

x = 15

So,

Priya's age = 15

Amirah's age = 15 + 4 = 19

Shirley's age = 15 - 2 = 13

Answer:

Priya is 15 years old

Amirah is 19 years old and

Shirley is 13 years old

Step-by-step explanation:

let Amirah =x

let Priya = y

let Shirley = s

so we have

x= 4+y

s=y-2

x+y+s =47

we have x= 4+y

4+y+y+s=47

4+2y+s=47

2y+s=43

s-y=-2 (MULTIPLY BY NEGATIVE 1)

y-s =2

2y+s= 43

by solving simultaneously we get

3y= 45

y=15

x= 4+y

x=19

s=y-2

s= 13

so Priya is 15 years old

Amirah is 19 years old and

Shirley is 13 years old

You have 12 pieces of candy and you eat 50% of the pieces. How many pieces of candy did you eat? Enter ONLY the number for your answer. *

Answers

Answer:

BLDM

Step-by-step explanation:

Answer:

6 pieces of candy

Step-by-step explanation:

50% is a half (of 100%)

12 pieces of candy in 100% divide by 2

6 = 50%

Please help with this

Answers

Answer:

[tex]S_{25}=555[/tex]

Step-by-step explanation:

Given that,

In an AP, the 6th term is 39 i.e.

[tex]a_6=a+5d\\\\39=a+5d\ ....(1)[/tex]

In the same AP, the 19th term is 7.8 i.e.

[tex]a_{19}=a+18d\\\\7.8=a+18d\ ......(2)[/tex]

Subtract equation (1) from (2).

7.8 - 39 = a+18d - (a+5d)

-31.2 = a +18d-a-5d

-31.2 = 13d

d = -2.4

Put the value of d in equation (!).

39 = a+5(-2.4)

39 = a- 12

a = 39+12

a = 51

The sum of n terms of an AP is given by :

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Put n = 25 and respected values,

[tex]S_{25}=\dfrac{25}{2}[2(51)+24(-2.4)]\\\\=555[/tex]

Hence, the sum of first 25 terms of the AP is equal to 555.

what is the surface area of the jewlery box below ?
( click on the image for the full box )
A. 146 cm
B. 292 cm
C. 336 cm
D. 672 cm

Answers

Answer:

B 292

Step-by-step explanation:

Hello There!

The first thing we want to do is find the formula for surface area of a rectangle

[tex]SA=2(wl+hl+hw)[/tex]

where w = width h = height and l = length

we are given the dimension:

h = 7

w = 8

l = 6

all we have to do is plug in

[tex]SA=2(8*7+6*7+6*8)\\8*7=56\\6*7=42\\6*8=48\\48+42+56=146\\146*2=292\\SA=292[/tex]

so we can conclude that the surface area is 292

Is this A,B,C or D helppppp

Answers

Answer:

D

Step-by-step explanation:

D goes thru positive 4 and negative 3

Algebra 2
Can you help me pls

Answers

Answer:

In50=3.912023005

Step-by-step explanation:

press it on your calculator

Yolanda created a scatter plot of the relationship between the number of times she visited different friends each month, y, and the distance in miles of the friends from her home, x. She calculated the equation of the trend line to be y = −3.5x + 20. Use this information to predict the number of times in one month Yolanda would visit a friend who is 4 miles from her home.

Answers

Answer:

6 times

Step-by-step explanation:

y = −3.5x + 20 ; x = 4

y = -3.5(4) + 20

y = -14 + 20

y = 6

free BRAINLESS it could be youea​

Answers

Fyi the picture is WAY to blurry

Find AB If AC = 12 and BC = 35

Answers

Answer:

37

Step-by-step explanation:

a² =b²+ç²a²=12²+35²a=√1369a=37

Pls help ASAP I will give brainleist answer

Answers

Answer:

6 3/10 pounds

Step-by-step explanation:

e)
2 Before you calculate these answers, first estimate the
a) 30 870 ÷49
b) 221 340 ÷17
c) 100 719÷ 279
d) 75 640 ÷310​

Answers

Step-by-step explanation:

1.) 630

2.) 13020

3.) 361

4.) 244

I will give you b if your answer is correct I only mark first answer so please help me

Answers

Answer:

b

Step-by-step explanation:

Select all the correct answers. Which expressions represent a difference of squares?

Answers

Answer:

25x2-36

1-16x2

Step-by-step explanation:

need help please look at attachment​

Answers

Answer:

y = 1/2x + 2

Step-by-step explanation:

Perpendicular slope = 1/2

( -2, 1)

y - y1 = m(x - x1)

y - 1 = 1/2(x + 2)

y - 1 = 1/2x + 1

y = 1/2x + 2

Answer:

y1=+/2/5+1

y1+/15

/1=+5/36

-2=1/-/12

If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.

Answers

Answer:

A' (-2,-4) B' (-3,-7) C' (-1,-8) D' (1,-6)

Step-by-step explanation:

Just take it one point at a time and move each point down 3 and 4 left. Prime notation just means to put this little sign ' so it indicates that this is the new coordinate. So A was (2,-1) and A' (the new one) is (-2,-4)

Dan is randomly selecting an outfit to wear to school. He can choose from 3 shirts: blue striped, red striped, or white. He
can choose from 3 pairs of shorts: tan, blue, or plaid.
Determine whether each statement is true or false.
Select True or False for each statement.
The probability that Dan chooses a striped shirt and a pair of tan shorts is
O True
o
False
There are 6 possible outcomes in the sample space.
O
True
O
False
The probability that Dan chooses a striped shirt and a pair of blue shorts is
o
True
O False
There are 2 ways to choose a red striped shirt and a pair of tan shorts.
O True
O False

Answers

Answer:i dont know :(

Step-by-step explanation:

im sorry :(

Answer:

1. true

2. false

3. false

4. false

Step-by-step explanation:

hope this helps

please mark brainiest

please give 5 stars

thank you

What is the domain of the function shown in the graph?
A. X <0
B. X < -1
C. -infinity D. X > -1

Answers

A. X <0 I think i not that smart that’s just what I got

Answer:

-infinity < x < Infinity

Step-by-step explanation:

Youre welcome

Identify as indicating a linear function or quadratic function. f (x) = ax^2 + bx +c

Answers

I’m 99% sure It is a quadratic function

which situation shows a constant rate of change?

Answers

C is right I thinkkkk

Answer: option D

Step-by-step explanation: just did it

C was wrong and showed option D was the correct answer

For every 5 pounds of tomatoes ordered, the restaurant orders 9 pounds of onions. If Everly orders
108 pounds of onions, how many pounds of tomatoes will she need to order?
Type or write your answers in the box below.

Answers

Answer:

[tex]\left[ 60- pounds][/tex]

Step-by-step explanation:

Ratio of tomatoes to onions = 5:9

so now it will be

5x: 108

we can solve it by doing this

x = 108/9

x = 12

so we multiply

5*x = 5x

5*12 = 60

She would need 60 pounds

5x: 108
We can do this
x=12
So we have to multiply to find the answer
5*x= 5x
5*12=60

On Joe’s business trip, he spent $258.14 during the 5 day trip on meals. How much did he spend per day on meals, round to the nearest penny?

Answers

Answer:

$51.63

Step-by-step explanation:

Joe spent 5 days on the trip and spent $258.14 total on food. To find the cost for each day, divide 258.14 by 5.

258.14 / 5 ≈ 51.63

Solve.
a - 6 > 1
I need help quick!​

Answers

Answer: 8

Step-by-step explanation:

8-6 = 2 which is greater

anything above 7 is correct

Answer:

a>7

Step-by-step explanation:

a-6>1

a>1 +6

a>7

thank u i hope it helps

STD 10

maths

If the roots of the equation 9x2 – (2k – 5)x – 25 = 0 are additive inverse ( opposite),

then k = ………… .


(a) 0 (b) 1 (c) -5/2 (d) 5/2​

Answers

Answer:

k = 5/2

Step-by-step explanation:

.....................

You have $400,000 saved for retirement. Your account earns 5% interest. How much will you be able to pull
out each month, if you want to be able to take withdrawals for 25 years?

Answers

Answer:

$4,515.14

Step-by-step explanation:

First we need to get the amount after 25 years on $400,000 at 5% interest

Using the compound interest formula

A = P(1+r)^n

A = 400,000(1+0.05)^25

A = 400,000(1.05)^25

A = 400,000(3.3864)

A = $1,354,541.98

Since 25years = (25*12)months

25 years = 300months

Amount to be able to pull out each month = $1,354,541.98/300

Amount to be able to pull out each month = $4,515.14

Hence you will be able to pull out $4,515.14 each month

Write an algebraic expression that illustrates the additive identity.

Answers

Answer:

Step-by-step explanation:

I hope this helped

which is the following is true about the graph of linear inequalities?
a.)it is a line
b.)it is a parabola
c.)it os a curve
d.)it is a half-plane​

Answers

Answer:

d.) half-plane..

Reason:

A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.

Researchers studying the sticky droplets found on spider webs will measure the widths of a random sample of droplets. From the sample, the researchers will construct a 95 percent confidence interval to estimate the mean width of all such droplets. Which of the following statements about a 95 percent confidence interval for the mean width is correct?
A. The interval will be narrower if the researchers increase the level of confidence to 99 percent.
B. The interval will be narrower if the researchers increase the sample size of droplets.
C. The interval will be wider if the researchers decrease the level of confidence to 90 percent.
D. The interval will be wider if the researchers increase the sample size of droplets.
E. The width of the interval will not be affected if the researchers increase or decrease the number of droplets in the sample.

Answers

Answer:

B. The interval will be narrower if the researchers increase the sample size of droplets.

Step-by-step explanation:

Margin of error of a confidence interval:

The higher the margin of error, the wider an interval is.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level(the higher the confidence level, the higher z), [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

From this, we conclude that:

If we increase the confidence level, the interval will be wider.

If we increase the sample size, the interval will be narrower.

Which of the following statements about a 95 percent confidence interval for the mean width is correct?

Increasing the sample size leads to a narrower interval, so the correct answer is given by option B.

Robin weighs her math textbook and finds that it is 2 kilograms. How many grams does her textbook weigh?

Answers

Answer:

2000

Step-by-step explanation:

1 kilogram is 100 grams therefore 2 kilo grams is equal to 2000 grams

The word kilo means thousand in Greek and i think French

:)

Answer:

2,000 grams :)

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