Answers
1/3 ln(x) + ln(2) - ln(3) = 3
Recall that [tex]m\log_b(n)=\log_b(n^m)[/tex], so
ln(x ¹ʹ³) + ln(2) - ln(3) = 3
Condense the left side by using sum and difference properties of logarithms:
[tex]\log_b(m)+\log_b(n)=\log_b(mn)[/tex]
[tex]\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)[/tex]
Then
ln(2/3 x ¹ʹ³) = 3
Take the exponential of both sides; that is, write both sides as powers of the constant e. (I'm using exp(x) = e ˣ so I can write it all in one line.)
exp(ln(2/3 x ¹ʹ³)) = exp(3)
Now exp(ln(x)) = x for all x, so this simplifies to
2/3 x ¹ʹ³ = exp(3)
Now solve for x. Multiply both sides by 3/2 :
3/2 × 2/3 x ¹ʹ³ = 3/2 exp(3)
x ¹ʹ³ = 3/2 exp(3)
Raise both sides to the power of 3:
(x ¹ʹ³)³ = (3/2 exp(3))³
x = 3³/2³ exp(3×3)
x = 27/8 exp(9)
which is the same as
x = 27/8 e ⁹
Related Questions
n.app.edmentum.com/courseware delivery/ua/49105800/848595622/aHROCHM6Ly9m MSShCHAUZWRIZW50dWOUY291L 2017 Juzitawid Niche
5
Edmentum
MGmai
Studenttrace
Options For Youth
Dungeon Quest OS
Dungeon Quest OS-
Most Dramatic Mus
Dark Synthwave M
Trapping Mysefin
Equations of a Line: Tutorial
16 of 20
Save & Eat
Question 1
Part A
Graph the equation y = -50% - 100 by going to your math tools and opening the Graph tool. Set the scale of the y-axis to range from -150 to 50, and
set the x-values to range from 5 to 10. Paste a screenshot of your graph in the answer field.
B IV X
Font Sizes
A-A-EZ
Characters used: 0/ 15000
Submit
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
hi I was going to ask may you help me on math assignments because I'm really struggling and I'm trying to get my grades up
Answers
Answer:
ok... i got all A's in math this year so far
Step-by-step explanation:
Sure, but I might get some wrong so don't blame me :)
Fort his problem what is the correct answer?
Answers
Answer:
its b have a nice day
Step-by-step explanation:
Answer:
I think its D.
Step-by-step explanation:
What is the perimeter, in feet, of a rectangle whose length is twice its width and whose width is 5 feet
Answers
9514 1404 393
Answer:
30 ft
Step-by-step explanation:
The width is 5 ft. The length is twice that, so is 10 ft. The perimeter is given by the formula ...
P = 2(L +W)
P = 2(10 ft + 5 ft) = 2(15 ft)
P = 30 ft
The perimeter of the rectangle is 30 feet.
Can someone help me please I will mark u brilliant
Answers
Answer:
I think the answer is option 3
Step-by-step explanation:
Answer: The box plot that represents this data is option 3.
Step-by-step explanation:
What happens when you add two numbers that are opposites?
Example:
[tex] - 33 + - 37[/tex]
Answers
Some actually if it were y=mx+b then it would be the opposite. It would turn positive but I don’t think this one turns like that. I think it’s just -70
Mason wants to play with Maliyah's Doll House, but first he needs to stop at the clubhouse. If all
three stops are in the shape of a triangle, which of the following distances would NOT be an option?
Answers
Answer:
B, (6,8,14)
Step-by-step explanation:
6+8 is equal to 14, not greater than 14
If all three stops are in the shape of a triangle then the distances 6 8 14 would not be an option.
Let us Apply the triangle inequality to the options.
A)5+6>9
6+9>5
5+9>6
So the triangle is possible.
B) 6+8=14 while the condition is that the sum of any two sides in a triangle is always greater than the third side i.e 6+8 must be greater than 14.
So, the triangle is not possible.
Similarly, C and D are possible triangles.
Hence, out of the 4 options, the distances 6 8 14 would not be an option.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ7
Mason wants to play with Maliyah's Doll House, but first he needs to stop at the clubhouse. If all
three stops are in the shape of a triangle, which of the following distances would NOT be an option?
Answers :
5 6 9 city blocks
6 8 14
7 9 10
8 15 17
Solve for x.
4x + 6
4x + 6
x = [?]
Answers
Answer:
21
Step-by-step explanation:
4x+6+4x+6=180
8x+12=180
8x=168
x=21
Answer:
X=21
Step-by-step explanation:
Well since its just a right angle you really gotta only solve for one since their their the same things.
4x+6=90
Solve the equation
x=21
Even if you do the two together with 180, same thing.
Find the equation of the line shown.
Answers
explanation: line passes through y axis on 2, so 2 is your y-intercept. rise/run is ur slope, which is -1/4 .
The equation of the line shown in the graph in point-slope form passing through the points (4, 1) and (0, 2) is,
⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]
Given that,
Graph of the equation of the line shown in the image.
Use the formula,
The equation of a line in point-slope form passing through the points
[tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] with slope m is defined as;
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Let us take two points on the graph, which are (4, 1) and (0, 2).
Here, [tex](x_1 , y_1) = (4, 1)[/tex]
And, [tex](x_2 , y_2)= (0, 2)[/tex]
So, the slope of the line is,
[tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
[tex]m = \frac{(2 - 1)}{(0-4)}[/tex]
[tex]m = \frac{1}{- 4}[/tex]
[tex]m = \frac{-1}{4}[/tex]
Therefore, the equation of the line with slope [tex]m = \frac{-1}{4}[/tex] is,
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]
To learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ4
a)How many vertices does it have?
(b) How many edges (lateral edges plus base edges) does it have?
(c)How many faces (lateral faces plus bases) does it have?
Answers
7 edges
5 faces
Annabelle’s bicycle has a wheel radius of 13 inches. She places a sticker on the wheel so that its minimum height above the ground is 0.5 inches. When she rides her bicycle, the wheel completes 90 revolutions every minute. The sticker begins at its minimum height above the ground. Which equation models the height in inches of the sticker after x minutes? y = 0.5 sine (180 pi x) + 13 y = 12.5 sine (180 pi x) + 13 y = 0.5 sine (180 pi x minus StartFraction pi Over 2 EndFraction) + 13 y = 12.5 sine (180 pi x minus StartFraction pi over 2 EndFraction) + 13
Answers
Answer:
[tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]
Step-by-step explanation:
In order to solve this we can start by drawing a sketch of the problem (see attached picture)
So fist, let's take the general form of a sinusoidal movement:
[tex]y=Asin(\omega x+\phi)+b[/tex]
where:
A= amplitude
[tex]\omega[/tex]= angular frequency
x= time
[tex]\phi[/tex] = horizontal shift
b= vertical shift.
In this case, the amplitude will be the maximum distance between the center of the wheel and the highest or lowest point of the trajectory, in this case:
A= 13in - 0.5in =12.5 in
The angular frequency is how many radians the wheel will turn in a minute, so we get:
[tex]\omega=\frac{90 rev}{min}*\frac{2\pi rad}{1 rev}[/tex]
[tex]\omega=180\pi rad/min[/tex]
Generally, the sin function will start at the center of the circular movement. In this case, since it starts on the lowest point, we can say that the graph moves right by [tex]\frac{\pi}{2} rad[/tex], so in this case:
[tex]\phi=-\frac{\pi}{2}[/tex]
and finally, the vertical shift is the distance between the center of the circular movement and the ground so in this case:
b=13in
so when putting it all together we get our equation to be:
[tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]
A cone and a cylinder have the same radius and height What would you need to do to the volume of the cone to find the volume of the cylinder? Multiply by 3 Divide by 3?
Answers
-2
у
5
4.75
4.5
4.25
1
2.
Answers
Find the volume of a cone with a base diameter of 8 in and a height of 6 in. Write the exact volume in terms of pi, and be sure to include the correct unit in your answer.
Answers
Volume of a cone = pi x r^2 x h/3
Volume = pi x 4^2 x 6/3
Volume = 32pi cubic inches ( in.^3)
A right angled triangle has a second angle equal 24 degrees. The side adjacent to this angle is 3,7 metres long. How long are the hypotenuse and opposite sides? (3)
Answers
Opposite will be 1.65
Find the exponential function that contains the points (0,5) and (2,20)
Answers
Lola has 3 feet of ribbon. She needs to cut the ribbon into equal 2-inch strips
2
How many 2-inch strips can she cut from the 3 feet of ribbon?
2
A
15
B
90
C
21
D
145
Answers
Answer:
18
Step-by-step explanation:
1 ft=12in
3ft=36in
divide 36 by 2 and you get 18
Help on this math question. 25 points.
Answers
Answer:
the third one
Step-by-step explanation:
A coffee shop sells their coffee beans by the pound. The table below shows the cost, in dollars, for a pound of two different types of coffee. How much more is the cost for 1 1/3 pounds of Jimmy jitters beans than the cost for 1 1/3 pounds of Harry's Himalayan Beans?
Answers
Answer:
1 1/3 x 1/3 =234/6
Step-by-step explanation:
your mama
Cambridge slim ate 11 sausages in the first 6 minutes of a high stakes eating contest assuming that he conuitnes at the same pace how many sausgaes would he have eaten by the end of the 15 minute contest
Answers
60(seconds)x15(minutes)= 900
(11/360)x900= 27,5 sausages
Bryson is updating his computer. The amount of
time required for a complete update is 48 minutes. The
update is currently 40% complete. How much longer will it
take for the update to be complete?
Answers
Answer:
28.8 min
Step-by-step explanation:
48 x 40% = 19.2
48-19.2 = 28.8
Write out the first five terms of the sequence.
an = n - 5
Answers
Answer:
its A
Step-by-step explanation:
took the quiz
What is the range of the data set?
Answers
Answer:
3-15
Step-by-step explanation:
Answer:
12
Step-by-1step explanation:
THE RANGE IS THE BIGGEST NUMBER MINUS THE SMALLEST NUMBER SO 15 - 3 = 12 (sorry for caps lock)
Hope this helps!! Have a great day and don't forget, you are loved.
If the Math Olympiad Club consists of 13 students, how many different teams of 5 students can be formed for competitions?
Answers
Answer:
2 teams
Step-by-step explanation:
13 divided by 5 is 2.6, but you cannot split a person in half, so it would be two teams with a remainder of three people.
There are 1287 different teams of 5 students can be formed for competitions.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
The Math Olympiad Club consists of 13 students.
And, To form different teams of 5 students can be formed for competition.
Hence, We get;
Number of different teams of 5 students can be formed for competitions is,
⇒ ¹³ C ₅
⇒ 13! / 5! 8!
⇒ 1287
Thus, There are 1287 different teams of 5 students can be formed for competitions.
Learn more about the combination visit:
brainly.com/question/28065038
#SPJ2
Truck A leaves station 1 at 9:00 a.m. and travels at the rate of 60 kph. After 2 hours, Truck B leaves the same station and travels in the same direction at the rate of 80 kph. At what time will Truck B overtake Truck A?
Answers
Answer: [tex]5:00\ PM[/tex]
Step-by-step explanation:
Given
Truck A speed is [tex]v_a=60\ kmph[/tex]
Truck B speed is [tex]v_b=80\ kmph[/tex]
Truck A leaves 2 hours before truck B
Distance traveled in the 2 hour
[tex]\Rightarrow 60\times 2=120\ km[/tex]
Suppose Truck B will catch truck A after t hours
[tex]\therefore 120+60t=80t[/tex]
[tex]\Rightarrow 120=20t\\\Rightarrow t=6\ hr[/tex]
Overtake time is [tex]9:00am +2+6=5:00\ PM[/tex]
Find the measure of <5.
45 = [?]
699
45
Enter
Answers
Answer:
Step-by-step explanation:
Answer:
Solution given:
<5+69°=180°[co- interior angle]
<5=180°-69°=111°
<5=111°
63°
13°
Choose the equation that best describes the image
Answers
Answer:
63degrees
Step-by-step explanation:
I cant see the picture well but i assume that is an angle and it is right before 90 degrees
you pick a card at random 4,5,6,7 What is p(5)
Answers
Answer:
1/4
Step-by-step explanation:
probability of picking 5 is 1/4
the number of 5 in the set is 1 and the total is 4
hence 1/4
Answer:
1/4 or 25% chance
Step-by-step explanation:
There are 4 cards in total
There is only 1 5 card.
To find the probability of getting 5:
1/4 = 25%
5. A set of 9 books has 5,487 pages.
Estimate the number of pages in
each book, if each book has the
same number of pages.
Answers
5). Find the surface area.
3.6 yd
7 yd
3 yd
2 yd