Answers
Answer:
[tex]\dfrac{1 - 6 \ln y}{2}[/tex]
Step-by-step explanation:
[tex] \ln \dfrac{\sqrt{e}}{y^3} = [/tex]
[tex] = \ln \dfrac{e^\frac{1}{2}}{y^3} [/tex]
[tex] = \ln e^\frac{1}{2} - \ln y^3 [/tex]
[tex]= \dfrac{1}{2} \ln e - 3 \ln y[/tex]
[tex]= \dfrac{1}{2} - 3 \ln y[/tex]
[tex]= \dfrac{1 - 6 \ln y}{2}[/tex]
The given logarithmic expression can be written as [tex]\frac{1-6ln\ y}{2}[/tex]
Given that,
The given logarithmic expression is [tex]ln \frac{\sqrt{e} }{y^3}[/tex].We need to rewrite the above logarithmic expression.Based on the above information, the calculation is as follows:
[tex]= ln \frac{\sqrt{e} }{y^3}\\\\= ln \frac{e^{1/2}}{y^3} \\\\= ln \e^{1/2} - lny3\\\\= \frac{1}{2}ln e - 3 ln y\\\\= \frac{1}{2} - 3 ln \ y \\\\= \frac{1- 6ln \y}{2}[/tex]
Therefore we can conclude that the given logarithmic expression can be written as [tex]\frac{1-6ln\ y}{2}[/tex]
Learn more: brainly.com/question/24169758
Related Questions
Plz help!! Write the name of each quadrilateral and find the area
Answers
Answer:
Step-by-step explanation:
1. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.
Area = Length X breadth = 6m X 5.1 m =30.6 metre square
2. Kite: it has two equal pairs of sides adjacent to each other
Area =(BD X CE )/2 = (8 X 12) /2 = 48
3. Parallelogram: This is because it has two opposite sides that are parallel, and the angles are not 90 degrees.
Area = base X height = 5.7 X 8 = 45.6 metres square
4. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.
Area = Length X breadth = 2 yd X 3.1 yd = 6.2 square yards
5. Trapezium: it has only one pair of sides parallel.
Area = 0.5 ( top side + bottom side ) X height = 0.5 (6+3 X 5) = 22.5
6. Kite: it has two equal pairs of sides adjacent to each other
Area =(EG X FH)/2 = (10 X 7) /2 = 35
*BRAINIEST & 20 POINTS*
i only have 2 chances so please get it correct!!!
Answers
Answer:
(-4, 5)
Step-by-step explanation:
partitions 1 to 4 means that point will make part of the line where it is 1 part to the other 4 parts. This means there are a total of five parts.
For x, we go from -7 to 8 or 15 units, and we are 1/5 of that distance so 3 units, add that to -7 we get -4.
For y, we go from 8 to -7, or 15 units, and we are 1/5 of that distance so 3 units, subtract that from 8 we get 5.
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can anyone help me answer this?!?!
Answers
angle BCA should be the same as angle CAD -> 20°
how to be good at math???
Answers
Step-by-step explanation:
Do more and more practice daily
A classroom measures 14 meters by 7 meters by 3.5 meters. How many cube meters of air are in the room?
Answers
Answer:
343 cube meters of air
Write the next 3 terms of the arithmetic sequence
17,11,5,-1 _,_,_
Answers
Answer:
d=11-17=5-11=-6
so
-1-6=-7
-7-6=-13
-13-6=-19
Hope it will help
is -/17 a rational number
Answers
Answer:
17 is a rational number because it can be expressed as the quotient of two integers: 17 ÷ 1.
A map has a scale of 1 in : 14 mi. If
Victoria and Kumba are 2 in apart on the
map, then how far apart are the real cities?
Answers
Answer:
28 miles
Step-by-step explanation:
Since 1 inch represents 14 miles, we can find the actual distance by multiplying 14 by 2:
14(2)
= 28
So, the real cities are 28 miles apart.
Answer:
SoluTion :-Let the unknown distance be x
[tex] \tt \dfrac{1}{14} = \dfrac{2}{x} [/tex]
By cross multiplication
[tex] \tt \: 14 \times 2 = 1 \times x[/tex]
[tex] \tt \: 28 = x[/tex]
ThereforeThe far apart distance will be 28 miles.
Which set of measurements determines a unique triangle
A. 30°, 80°,100°
B. 20°, 70°, 90°
C. 15cm, 21cm, 30cm
D. 14ft, 17ft, 35ft
Answers
f(x)=x^3+2x^2-6x+9
when f(x) is divided by x+a, the remainder is R, when divided by x-a, the reminder is 2R
a) show that 3a^3-2a^2-18a-9=0
b) solve the expression completely
Answers
Answer:
Step-by-step explanation:
Does 4/10 simplify to 1/4?
No.
Yes.
Answers
Answer:
No.
Explanation:
4/10 cannot be simplified to 1/4. 4/10 is simplified to 2/5.
The decimal form is 0.4
Hopefully this is correct. Good luck with your studies.
4/10 = 2/5 which is not simplify to 1/4
so the answer is NO.
On Monday, Mrs. Smith drove 3.56 miles to go to the grocery store, 5.9 miles to go to the bank, and 12.087 miles to go out to dinner. Round each
number to the nearest mile to estimate the number of miles Mrs. Smith drove on Monday
Answers
Answer:
22
Step-by-step explanation:
3.56 = 4
5.9 = 6
12.087 = 12
4+6+12 = 22
2. I want to send out 25 Chitstmas cards so I will need 25 stamps. Each stamp cost $0.55; SO how much will I spend on stamps?
Answers
Answer:
$13.75
Step-by-step explanation:
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14+x=-19
please solve for x
Answers
a + 1/2b + 2/5 + 3/2a + 1/4b
Answers
Answer:
Your answer is 5a/2+3b/4+2/5
Step-by-step explanation:
Answer: The answer is 5a/2+3b/4+2/5
Step-by-step explanation: hope this helps! Merry Christmas!
30 divided by 2313. Please work out the answer for me. Thanks You!
Answers
Answer: it’s 77.1 plz mark me brainliest
thos was super hard to do
Step-by-step explanation:
A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible. If the largest group was formed, how many students of each grade level would be in each group?
Answers
Answer:
The music director can form a total of 15 groups
6 Sixth grade students per group
5 Seventh grade students per group
Step-by-step explanation:
Sixth grade students = 90
Seventh grade students = 75
Find the highest common factor of 75 and 90
90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
75 = 1, 3, 5, 15, 25, 75
The highest common factor of 75 and 90 is 15
Therefore, the music director can form a total of 15 groups
Sixth grade students per group = 90 / 15
= 6 Sixth grade students per group
Seventh grade students per group = 75 / 15
= 5 Seventh grade students per group
A six pack of soda is on sale for $2.46. Whats the cost of 1 soda
Answers
Answer:
.41 cents
Step-by-step explanation:
divide it by 6
Answer:
I think it is $0.41
Can anyone help mee??
Answers
Answer:
20
Step-by-step explanation:
50%=10
100%=20
Answer:
20
Step-by-step explanation:
50% basically means half, so if 10 is 50% then the other 50% is also 10.
so 10x2=20
Determine whether the relation is
a function.
{(-6,3),(2,2),(6,2),(3,7)}
Answers
Answer:
Since there is one value of y{(-6,3),(2,2),(6,2),(3,7)}for every value of x in , this relation is a function.The relation is a function.
Step-by-step explanation:
Hope that help like and please give me brainiest.Aslo add me.
find each measurement indicated, round your answers to the nearest tenth
Answers
Answer:
1. 27.0 m
2. 28.0 degrees
Step-by-step explanation:
1. AB
To find AB, we start by getting the measure of the third angle A
Mathematically;
A + 90 + 51 = 180
The sum of angles in a triangle is 180
A = 180-90-51
A = 39
We then proceed to use the sine rule
Mathematically, the sine rule states that the ratio of the measure of a side and the sine of the angle facing the side is same for each side of the triangle
Thus, with respect to the given triangle;
17/sin 39 = x/sin 90
x = 17sin90/sin 39
x = 27.0 m
Kindly note that we substituted x for AB
2. To find the measure of angle A we use the sine rule as used above, but here we have a missing angle and not a missing side
Thus;
34/sin 127 = 20/sin A
Sin A = (20 sin 127)/34
sin A = 0.469
A = sin^-1 0.469
A = 28.0 degrees
Please explain how you got answer!!!
Triangle A B C is shown with its exterior angles. Angle B A C is (p + 4) degrees and angle A C B is 84 degrees. Exterior angle X B C is (3 p minus 6 degrees).
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
Answers
The number $16$ has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equation below:\[\square^4=16.\] Find them.
Answers
9514 1404 393
Answer:
{2, 2i, -2, -2i}
Step-by-step explanation:
Fourth roots of positive real numbers are always on the cardinal points of the complex plane. The positive real fourth root of 16 = 2^4 is 2. The others are this multiplied by various powers of i.
2, 2i, -2, -2i
Please Answer A,B,C
Correctly,
Fast,
and Answer All
To get Brainliest and 5 Stars lastly a Thanks
and have a Merry Christmas and a Happy New Year!
Answers
Answer:
a. Line A and line C
b. Line B
c. Line A and line C
Step-by-step explanation:
a. Negative slopes slant downwards from your left to the right. Thus, line A and line C are negative slopes.
b. The line with the steepest slope is the line that appears to slant the more, whether downwards to the right or upwards to the right.
Line B appears to slant the more. Therefore line B has the steepest slope
c. The slope value of line A, that is rise/run = 4.
The slope value of line C = 4 also.
Parallel lines have the same slope value. Therefore, line A and C are parallel.
Find the value if x=2+root3
Answers
Answer:
x=2+ root(3)
x= 2 + 1.73
x=3.74
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Hackensack and New York City are 12 miles apart. On a map, the two cities are 2 Inches apart. How many miles does 1 Inch represent on the map?
Answers
Answer:
6 miles
Step-by-step explanation:
From the question, we are told that 12 miles represents 2 inches on the map.
We are to calculate the amount of miles 1 inch will represent. To do this you will say:
12 miles = 2 inches
x miles = 1 in
Cross multiply;
2 * x = 12 * 1
2x = 12
x = 12/2
x = 6
Hence 1 inch will represents 6 miles on the map
Kim spent $33 on a magazine and
some candy bars. If the magazine
cost $5 and each candy bar cost
$4, then how many candy bars did
Answers
Answer:
Seven candy bars.
Explanation:
Suppose the number of candy bars purchased is x
The questions say he bought A magazine, means one magazine
the equation is:
4x + 5 = 33
4x = 33 – 5
4x = 28
x = 7
Kim bought 7 candy bars.
Hope this helps! :)
Which number line shows the solution of –5x + 10 > –15?
Answers
Answer:
b
Step-by-step explanation:
Answer:
Where is the number line?? ;-;
Step-by-step explanation:
Dude I cant answer if you dont show me the number lines
HELP!!!!!!!!!!!!!!! please show your work, look at the picture
Answers
Answers and steps are in the picture below!
A small rectangle has a width of 4 feet and a length of 10 feet. A larger, similar rectangle has a length of 12 feet. What is the perimeter of the larger rectangle?
Answers
Answer: 33.6 feet
Step-by-step explanation:
Since the small rectangle has a width of 4 feet and a length of 10 feet. It simply means that the length is 2.5 times the width.
A larger, similar rectangle has a length of 12 feet. The width will be:
= 12 / 2.5
= 4.8 feet
The perimeter of the larger rectangle will then be:
= 2(Length + Width)
= 2(12 + 4.8)
= 2 × 16.8
= 33.6 feet