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

100 points and BRAINLESS pless help​

Answers

Answer: 50 square units

Step-by-step explanation:

What is the measure of n?
12
4
n
m

Answers

There is no attachment attached.

Pleaseee I need this now!

Answers

Answer:

54000 cube cm

Step-by-step explanation:

Let height be the height of the box kite,

Also the length of one face = 30 cm,

Hence, the total area of the kite box that is covered by the fabric

= 4 × Area of one face

= 4 × 30 × height

= 120 h

According to the question,

120 height = 7200

height = 60 cm

Hence, the height of the box = 60 cm,

The volume inside the kite = The base area of the box × Its height

= 30² × 60

= 900 × 60

= 54000 cm³

this is exactly what the question says:
"Solve the following system of equations."
-5x+3y=22
-6x+7y=23
I have to figure out x and y​

Answers

Answer:

x = - 5, y = - 1

Step-by-step explanation:

Given the 2 equations

- 5x + 3y = 22 → (1)

- 6x + 7y = 23 → (2)

Multiplying (1) by - 6 and (2) by 5 , then adding will eliminate the x- term

30x - 18y = - 132 → (3)

- 30x + 35y = 115 → (4)

Add (3) and (4) term by term to eliminate x

0 + 17y = - 17

17y = - 17 ( divide both sides by 17 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

- 5x + 3(- 1) = 22

- 5x - 3 = 22 ( add 3 to both sides )

- 5x = 25 ( divide both sides by - 5 )

x = - 5

-X-6
constant.
coefficient:
variable

Answers

Answer:

constant: -6

Coefficient: -1

Variable: x

Step-by-step explanation:

A student rolls a die 15 times and records the results. This is the first set of data. The same student rolls a different die 15 times
and records the results. This is the second set of data.
What is an appropriate conclusion about the shape of the dot plots?

Answers

I believe it is A, The first dot plot is skewed right. Not sure though.

15=5x+45

What is the value of x?

Answers

15 = 5x + 45

15 - 45 = 5x

-30 = 5x

-30/5 = x

-6 = x

Answer:

x= -6

Step-by-step explanation:

15=5x+45

15-45=5x

-30=5x

-30/5=5x/5

-6=x

x= -6

Hi pls help me thanks :)

Answers

The answer is c you have to flip turn mutiplu

Answer:

B

Step-by-step explanation:

In AIJK, i = 270 cm, j = 170 cm and _K=122°. Find the area of AIJK, to the
nearest square centimeter.

Answers

9514 1404 393

Answer:

  19,463 cm²

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)ij·sin(K)

Filling in the values, we find the area to be ...

  A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²

Solve for x in the triangle. Round your answer to the nearest tenth

Answers

Um is there any attachment?

The diameter of the circle shown below is 12m. What is the area of the circle

Answers

Answer:

The area of the circle is 113.097

Hope this helped!

Please give brainliest if it helped!

PLEASE JUST HELP ITS ACTUALLY AN EMERGENCY I WILL GIVE 3K ON BLOXBURG FOR THIS

Answers

cut off the topright rectangle so there are 2 rectangles.

That will make it look like this

2x3=6

            +

5x3=15

            =

21

            The area of that shape would be 21 square feet

21 square ft                                                                                                                                              

u got 3K i only got 1K cuz i be spending it on my house and emotes and food ;-;

                                                                                                                                                                                                                                                                                                                             

a train leaves a station at 18:20 and arrives its destination at 02:28.How long did it take?​

Answers

Answer:

8 hours and 8 minutes

Step-by-step explanation:

there are 24 hours on the clock so if you add 6 to the 24 it would make you be at 0:00 so then you would add 2 hours and since 28 is 8 more than 20 it would be 8 hours and 8 minutes.

Aubree is going to invest $27,000 and leave it in an account for 10 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Aubree to end up with $39,000?

Answers

Answer:

3.7%

Step-by-step explanation:

simple

In July 2005, the internet was linked by a global network of about 353 million host computers. The number of host computers has been growing approximately exponentially and was about 37.1 million in July 1998. (a) Find a formula for the number, N, of internet host computers (in millions of computers) as an exponential function of t, the number of years since July 1998, using the continuous exponential model N ( t )

Answers

Answer:

[tex]N(t) = 37.1(1.38)^t[/tex]

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]N(t) = N(0)(1+r)^t[/tex]

In which N(0) is the initial value and r is the rate of change, as a decimal.

37.1 million in July 1998

This means that [tex]N(0) = 37.1[/tex]

So

[tex]N(t) = 37.1(1+r)^t[/tex]

In July 2005, the internet was linked by a global network of about 353 million host computers.

This is 2005 - 1998 = 7 years, so [tex]N(7) = 353[/tex]. We use this to find r.

[tex]N(t) = 37.1(1+r)^t[/tex]

[tex]353 = 37.1(1+r)^7[/tex]

[tex](1+r)^7 = \frac{353}{37.1}[/tex]

[tex]\sqrt[7]{(1+r)^7} = \sqrt[7]{\frac{353}{37.1}}[/tex]

[tex]1 + r = (\frac{353}{37.1})^{\frac{1}{7}}[/tex]

[tex]1 + r = 1.38[/tex]

The formula is:

[tex]N(t) = 37.1(1.38)^t[/tex]

60 degrees,60 degrees,4cm Do the following conditions make a unique triangle, more than one triangle or no triangle possible?

Answers

NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹

Maximize −4x + 5y + 70 subject to the constraints:

2x + y ≤ 8
x + 3y ≥ 5
x + y ≤ 6
x ≥ 0,
y ≥ 0

a. Fix any constraints, as needed, and then convert the linear programming problem into a system of linear equations.
b. Give a fully labeled initial tableau, and circle the pivot element.

Answers

Answer:

Step-by-step explanation:

[tex]\text{To maximize -4x + 5y + 70 subject to } \\ \\ 2x + y \le 8 --- (1) \\ \\ x + 3y \ge 5 --- (2) \\ \\ x + y \le 6----(3) \\ \\ x \ge 0, y \ge 0[/tex]

[tex]\text{From above equationn (1)} : 2x + y = 8 \\ \\ \text{Divide boths sides by 8} \\ \\ \dfrac{2x}{8} + \dfrac{y}{8} = \dfrac{8}{8}[/tex]

[tex]\dfrac{x}{4} + \dfrac{y}{8} = 1 \\ \\ x = 4; y = 8[/tex]

[tex]\text{From above equationn (2)} : x + 3y = 5 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{5} + \dfrac{3y}{5} = \dfrac{5}{5} \\ \\ x = 5; \ y = 1.66[/tex]

[tex]\text{From above equation (3)} : x + y = 6 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{6} + \dfrac{y}{6} = \dfrac{6}{6} \\ \\ x = 6; \ y = 6[/tex]

[tex]\text{From the image attached below, we can see the representation in the graph}[/tex]

-   [tex]\text{Now from equation (1) ad (III)} \\ \\ 2x + y = 8 \\ \\ x+y = 6[/tex]

                 

    [tex]x[/tex]      [tex]= 2[/tex]

                 

[tex]From : x + y = 6 \\ \\ 2 + y = 6 \\ \\ y = 6-2 \\ \\ y =4[/tex]

[tex]\text{From equation (1) and (II) } \\ \\ \ \ 2x + y = 8 \\ - \\ \ \ x + 3y = 5 \\ \\[/tex]

[tex]-5y = -2 \\ \\ y = \dfrac{2}{5} \ o r\ 0.4 \\ \\ From : 2x+ y = 8 \\ \\ 2x = 8 - \dfrac{2}{5} \\ \\ x = \dfrac{ 8 - \dfrac{2}{5} }{2} \\ \\ x = 3.8[/tex]

Rite Aid sells a six pack of fruit cups for $2.88 what is the unit cost price per fruit cup?

Answers

Answer:

0.48

Step-by-step explanation:

2.88/6=0.48

Answer:

2.88 / 6 = 0.48

Explanation:

PLEASE ANSWER ASAP FOR BRAINLEST SUPER EASY QUESTION!!!!!!!!!!!!!!!!!!!!
what are 3 mathematical facts you can find in a rectangular prism?

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:According to splashlearn.com they say, "Rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal. A rectangular prism has a rectangular cross section."

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Rectangular Prism :

A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces.

All the opposite faces of a rectangular prism are equal. 

A rectangular prism has a rectangular cross section.

Rectangular prisms can be of two types, namely right rectangular prism and non-right rectangular prisms

Help pls because I really need help

Answers

Answer:

answer is third,hope i helped u

help me do this i will pick brailest if right and it is 45 points!

Answers

Answer:

8/21

Step-by-step explanation:

Answer:

7/24

Step-by-step explanation:

(1x7) / (3x8) = 7/24

And I am sure

Level 2: Find the area of the shape:
8 ft
6 ft
14 ft
5 ft
5 ft
Area:
ft2
Help please!!!!

Answers

Step-by-step explanation:

a triangle is the area of 2

if Patty has 56 apples and And has 87 pears how many grapes do they have in total including Ava's 890 blueberries?

Answers

Answer:

Patty has 10 onions, And has 500 watermelons and Ava has a banana

WILL GIVE BRAINLIEST

Answers

b! you can even look up pythagorean triples to check :)
The correct answer would be B. (3, 4, 5)

Please help me, it would be greatly appreciated

Answers

Answer:

y = [tex]-\frac{2}{3}x^{2}[/tex]

This is the answer. Hope this helps!

Help fjdhddjdhdhhdhdhdufh

Answers

Answer:B. 86

Explanation: 1032/12=86

plzzz help will mark you brainliest

Answers

Answer:

C, y =8x

Step-by-step explanation:

As you can see from the table, y is basically x multiplied by 8 at all instances.

Answer: y=8x

Step-by-step explanation:

y=8x means that the number in the y column (the total cost) equals whatever is in the x column (number of tickets) times by 8. The reason you do times is because in algebra when a number is next to a letter it means times.

So, you can test it using the data in the table:

16=2×8

24=3×8

32=4×8 etc.

And we know it works.

Hope this helps :)

(3uv/2u²-2v²)+5uv/3u²+3v2​

Answers

Answer:

19/6 u^3 v + v^2

Step-by-step explanation:

3uv2

u2−2v2+

5uv3

u2+3v2

=32

u3v+−2v2+53

u3v+3v2

Combine Like Terms:

=32

u3v+−2v2+53

u3v+3v2

= (3

u3v+

53

u3v)+(−2v2+3v2)

Hi, could anyone help please ? I can't manage to get this right...​

Answers

So everything you have now is right so far:

[tex]\cos(24) = \frac{z}{118}[/tex]

Multiply 118 to the left side to isolate z

[tex]118\cdot\cos(24) = z[/tex]

z = 50.05

Hope this helps

What’s the value of F ?

F= ??

Answers

Answer: 30  i took a test with that question

Step-by-step explanation:

Other Questions
This triangle-based oblique pyramid has a volume of 13 cm 9 cm 4 cm 3 cm What is the height h of the pyramid? THE COLD WAR1. How did the U.S. and Soviet Union view each other after WWII? Why?2. What were some things they competed for? (List all that you can)3. How did the competition between these countries affect the lives of citizens in each nation?During World War II, the United States and the Soviet Union fought together as allies against the Axis powers. However, the relationship between the two nations was tense. Americans did not support Soviet communism and were concerned about how Russian dictator Joseph Stalin ruled his country with total government control. He sent thousands of people who didnt agree with him to labor camps which resulted in death and starvation for an estimated 20 million people. The Soviets resented the Americans as they did not treat them as part of the international community due to their delayed entry into World War II. After the war ended, these criticisms developed into a strong sense of mutual distrust and anger. Postwar Soviet expansionism in Eastern Europe developed American fears of a Soviet plan to control the world. The Americans were seen as aggressive by the Soviets, building weapons and relations with other countries.By the time World War II ended, most American officials agreed that the best defense against the Soviets was a strategy called containment. President Harry Truman stated, It must be the policy of the United States, to support free peoples who are resisting attempted subjugation (takeover/conquest) by outside pressures. This way of thinking would shape American foreign policy for the next four decades.The containment strategy also provided the motivation for building up weapons in the United States. In 1950, the National Security Council Report recommended that the U.S. use military force to contain communist expansionism anywhere it seemed to be occurring. This greatly increased military spending.In particular, American officials encouraged the development of atomic weapons like the ones that had ended World War II. This began a deadly arms race. In 1949, the Soviets tested an atom bomb of their own. In response, President Truman announced that the United States would build an even more destructive atomic weapon: the hydrogen bomb. As both countries tested their new bombs, the earth suffered as poisonous radioactive waste spread into the atmosphere.The ever-present threat of nuclear annihilation had a great impact on American domestic life as well. People built bomb shelters in their backyards and practiced attack drills in schools and other public places. In these and other ways, the Cold War was in Americans everyday lives.Space exploration served as another area for Cold War competition. In 1957, the Soviets launched Sputnik (Russian for traveler), the worlds first artificial satellite and the first man-made object to be placed into the Earths orbit. The United States felt pressure to catch up. This missile appeared to be capable of delivering a nuclear hit into U.S. air space.In 1958, the U.S. launched its own satellite, Explorer I, in what came to be known as the Space Race. The National Aeronautics and Space Administration (NASA), a federal agency dedicated to space exploration.1. How did the U.S. and Soviet Union view each other after WWII? Why?2. What were some things they competed for? (List all that you can)3. How did the competition between these countries affect the lives of citizens in each nation? Which decimal is equivalent to 1/3 Using the dimensions shown, you could create a rectangular prism. Caculate the surface area for the rectangular prism. A 30m2 b 56m2 c 60m2 d 112m2 Help. 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