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
FOR BRANLIEST PLEASE HELP!!
Answers
Answer:
55
Step-by-step explanation:
complementary angle means either of two angles whose sum is 90°.
we can use this to find that angle abc is 55 and since angle abc and ebf are opposite the measure the same
2). The scale factor of two regular octagons is 52. Find the ratio of their
perimeters and the ratio of their areas, *
Answers
Answer:
Step-by-step explanationBy definition we have that the area of a regular octagon is:
A = 4.83L ^ 2
Where, L is the length of the octagon side.
the similarity ratio = the area ratio.
We have then:
similarity ratio = (50) / (18) = 25/9.
the ratio of the perimeters
A1 = 4.83L1 ^ 2
L1 ^ 2 = A1 / 4.83
L2 ^ 2 = A2 / 4.83
L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9
L1 / L2 = 5/3
The perimeter is:
P1 = 8L1
P2 = 8L2
P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3
answer:
similarity ratio:
25: 9
the ratio of the perimeters:
5: 3
here u go! BWABWABWABWABWA
Answers
Answer:
- 100
Step-by-step explanation:
Take 10 from both sides
t/2 + 10 - 10 = -40 - 10 Combine like terms
t/2 = - 50 Multiply both sides by 2
2*t/2 = -50*2
t = - 100
Answer:
= (-90)
Step-by-step explanation:
-90/2+10=. -80/2
2 will go into -80 ,-40 times
question will save this response.
Answers
Answer:
[tex]r=\dfrac{PV}{nT}[/tex]
Step-by-step explanation:
The given equation is :
[tex]PV=nrT[/tex]
Where
P is pressure
V is volume
n is no of moles
r is Gas constant
T is temperature
We need to solve the above equation for r.
Dividing both sides of the above equation by (nT). So,
[tex]\dfrac{PV}{nT}=\dfrac{nrT}{nT}\\\\r=\dfrac{PV}{nT}[/tex]
So, the value of r is equal to [tex]\dfrac{PV}{nT}[/tex].
Which type of graph would you choose to show the number of home runs hit by each player compared to the team
total?
histogram
line graph
bar graph
circle graph
Answers
Answer:
circle graph
Step-by-step explanation:
Answer:
BAR GRAPH
Step-by-step explanation:
Please help this is Geometry
Answers
Answer:
solution given:
volume of lower one[V1]=l×b×h=1.5×0.5×0.5=0.378m³
volume of upper one [V2]=l×b×h=1×0.5×(0.75-0.5)=
0.125m³
total volume=V1+V2=0.378m³+0.125m³=0.503m³
0.503m³ is your answer
3×1/6 Please please help
Answers
Answer:
3 can be made into 3/1. multiplying fractions is easy, divide the numerators together and the denominators together. 3x1=3 and 1x6=6. the answer is 3/6 which can be simplified into 1/2
Step-by-step explanation:
hope this helps!
HELP NOW WHOEVER ANSWERS FIRST WILL GIVE BRAINLYIST
Answers
Answer:
if these are the same pictures but just tilted then the answer should be 5 units
Step-by-step explanation:
Answer:
it is 5
Step-by-step explanation:
i dont feel like a step by step
If f(x)=9ex, find f(5) rounded to the nearest tenth.
Answers
Answer:
1335.7
Step-by-step explanation:
f(5)= 9e^x
Substitute x for 5 and solve
The value of the equation f ( x ) = 9eˣ , when x = 5 is 1335.7
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be f ( x ) = 9eˣ
The equation is an exponential form , and the value of x is substituted in the equation
When the value of x is 5
The value of e = 2.7182
x = 5
So , substituting the value of x in f ( x ) , we get
f ( x ) = 9eˣ
f ( 5 ) = 9 x e⁵
Now , e⁵ = 148.4131
And ,
The equation f ( 5 ) = 9 x 148.4131
= 1335.718
≈ 1335.7
Hence , the value of the equation f ( x ) = 9eˣ , when x = 5 is 1335.7
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
Writing Activity: Analysis.
Several major events occur in Black Ships Before Troy. Choose one event to analyze, explaining how the plot unfolds and how the characters respond or change. Be sure to cite evidence from the text.
First, summarize the key event and the conflict that takes place.
Take notes on what the main characters are like and what they think and do.
Use your summary and notes as you write your essay. Include evidence from the text to support your ideas
Answers
Answer:
12345678910111213141516171819202122232425262728293031323334353637383940142434445446
Step-by-step explanation:
my name jeff
Michael has a pail that holds 5 gallons of
water. How many quarts of water does the
pail hold?
Answers
Answer:
20 quarts.
Step-by-step explanation:
Because there are 20 quarts in 5 gallons.
An Oil Rig is 30 meters tall. Mr. Clanton is standing 12 meters from the base of the Rig. At what angle of elevation does he need to look to see the eagle on top of the Rig ? What is the distance from Mr. Clanton to the Eagle ?
Answers
Answer:
Angle of elevation: 68.2°, distance from Mr. clanton to the eagle: 32.3m.
Step-by-step explanation:
I can't draw the diagram , but will try to explain:
the diagram is a right angled triangle, with the opposite as the rig, the adjacent as the distance between mr. clinton and the base of the rig, and the hypotenuse as x.
∅ is the angle of elevation from clinton to the eagle.
Using SOH CAH TOA,
Tan∅ =30÷12
tan∅ =2.5.
∅ =tan^-1( tan raised to power -1 )
∅ =tan^-1(2.5)
∅ = 68.19859051≅68.2 to 3s.f.
To get the distance between mr. clinton and the eagle:
Using SOH CAH TOA;
Cos68.2 =12/x cross multiplying....
x*cos68.2 =12
∴ x = 12 ÷ cos 68.2
= 12 ÷ 0.3713678356
= 32.31297611≅32.3 to 3s.f.
Hope this helps.....
ZABD and ZDBC are supplementary angles,
What is the measure of x?
X = [?]°
7D
110%
AK
B
>C
Angles are not drawn to scale.
Finter
Answers
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
what is the equation of the following graph in vertex form
Answers
Answer:
y=(x-4)²-4
Step-by-step explanation:
Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:
(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]
x²-8x+12=0 (Standard Form)
x²-8x+12+4=0+4 (Completing the square)
x²-8x+16=4
(x-4)²=4
(x-4)²-4=0
Therefore, our equation for the graph in vertex form is y=(x-4)²-4
WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED
Answers
Answer: 8.6
Step-by-step explanation:
Using pythagorean theorem, c²=a²+b² you can find the distance between AB.
c²=7²+5²
c²=74
√c²=√74
c=8.6
Please help find answer to questions 22
Answers
9514 1404 393
Answer:
A) 26°
Step-by-step explanation:
The angle x decreases at a rate that is 12 times the rate of increase of angle y.
x = 360 -12y
We want x = 2y, so ...
2y = 360 -12y
14y = 360
y = 360/14 ≈ 25.71 ≈ 26
The integer angle closest to y is 26°.
Which expressions are equivalent to 1/3+Bd+5/7?
Check all that apply
Answers
A golf cart priced at $5,600 was on sale for 20% off. The sales tax rate is 6%. What is the sale price of the golf cart, including tax?
Answers
Answer:
4,748.80
Step-by-step explanation:
Find the volume of the pyramid below.
A. 1088
B. 1360
C. 7200
D. 2400
Answers
Answer:
Answer is A
Step-by-step explanation:
add 8 x 8 x 17= 1088
Which are solutions of
x/5= 1/+4?
A. -5 and 1
B. -1 and 5
C. 0 and 5
D. 0 and - 1
E. 2 and 3
Answers
Answer:
I think a is correct answer.
Find 0% of 44:
Find 100% of 44:
Find 50% of 44:
Find 25% of 44:
Find 75% of 44:
Answers
Answer:
0% of 44=0
100% if 44=44
50% of 44=22
25% of 44=11
75% of 44=33
The company plans to increase the width and length of the large box by 4 inches each to create a new larger box. How many more of the small boxes will be able to fit inside this new larger box compared to the original large box?
Answers
Answer:
Answer:16
Step-by-step explanation: 2x2 is 4
4x4. Is 16w
W stand for width
Step-by-step explanation:
Naika took out a $29,300 5 year Federal Loan with an interest rate of 3.22%. She will
have to pay the loan back when she graduates in 4 years. The loan also gives her a
grace period of 12 months after graduation before she has to start making payments.
How much interest will accrue before she begins making payments on the loan?
Answers
9514 1404 393
Answer:
$4717.30
Step-by-step explanation:
Assuming the interest is capitalized only at the start of repayment, the accrued interest is ...
I = Prt
I = ($29,300)(0.0322)(4 +1) = $4717.30
The accrued interest is $4717.30.
Milo visited an amusement park for 3 hours. He rodes rides for 50 minutes, played carnival games for 40 minutes, and ate food for 30 minutes. He spent the rest of the time waiting in lines. How much times did Milo spend waiting in lines?
Answers
Answer:
60 minutes
Step-by-step explanation:
3 hours = 180 minutes
180 - (50 + 40 + 30) = 180 - 120 = 60
5.5 as a mixed number.
Answers
Answer: 5 1/2
Step-by-step explanation:
You keep your whole number which is five, then you see that the other 5 is in the tenths place in the decimal (5.5) so you put 5 over 10 and combine the fraction (5/10) with the whole number (5) and that is 5 5/10. But you see that it is not simplified so you simplify and get 5 1/2. I hope this helps :)
The number of copies made each week by teachers at Lamley High School follows a bell-shaped distribution with a
mean of 550 copies and a standard deviation of 185 copies. Mr. Thomas made 782 copies last week. His Z-score is
1.25. Which of the following statements best interprets this value?
O Mr. Thomas made 125 more copies, on average, than the mean number of copies of teachers at Lamley High
School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the median number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the median number of copies of
teachers at Lamley High School.
Answers
Answer:
3. The number of copies he made is 1.25 standard deviations more than the mean number of copies made by teachers.
Step-by-step explanation:
In statistics, a z-score is measurement that describes a value's relationship to the mean and allows us to compare the value and the mean. It tells us how many standard deviations above or below the population mean.
Mr. Thomas has a z-score of 1.25.
He made 782 copies last week. The statistic this is being compared to is the mean of 550 copies by teachers per week at Lamley High School.
Therefore, the best interpretation is Mr. Thomas made 1.25 standard deviations more than the mean number of copies. The correct answer is choice 3.
Let's make sure the other choices are incorrect.
The first answer is incorrect because a z-score doesn't compare the exact values, but uses the standard deviation to compare. The second answer is incorrect because he made 782 copies, while the mean was 550. He made more copies, plus the z-score is positive. The fourth and fifth answers are incorrect because the z-score doesn't use the median to compare.y'all help me pls no links pls
Answers
The first rule is add 10, then divide by 2 starting from 2. The second rule is multiply by 3, then subtract 2 starting from 2. What are the first four ordered pairs using the two sequences?
Question 7 options:
(2, 0), (6, 4), (8, 12), (9, 32)
(2, 2), (6, 4), (8, 10), (9, 28)
(6, 4), (8, 10), (9, 28)
(2, 2), (10, 8), (16, 20), (18, 56)
Answers
Answer:
B. (2, 2), (6, 4), (8, 10), (9, 28)
Step-by-step explanation:
I hope this helped! :D
HELP THIS IF IS FOR MY NEXT YEAR CLASS LEVEL
Answers
Answer:
there is no question? may u add one plz so i can help?
Step-by-step explanation:
Answer:
huuhhh i dont get it and whers the question¿¿¿
Please help me solve 8=11x+2
Answers
Answer:
6/11
Step-by-step explanation:
