Answers
Answer:
(2).
Step-by-step explanation:
We have the expression:
[tex]\displaystye{\ln(\displaystyle{\frac{\sqrt{e}}{y^3})}[/tex]
First, we can use the difference property of logarithms:
[tex]\ln(x/y)=\ln(x)-\ln(y)[/tex]
Hence, this is equivalent to:
[tex]=\ln(\sqrt{e})-\ln(y^3)[/tex]
We can rewrite the left as:
[tex]=\ln(e^\frac{1}{2})-\ln(y^3)[/tex]
Now, we can use the power property:
[tex]\ln(a^b)=b\ln(a)[/tex]
Essentially, we move the exponent to the front.
Hence, this yields:
[tex]=\frac{1}{2}\ln(e)-3\ln(y)[/tex]
The natural log of e is simply 1. Hence:
[tex]=\frac{1}{2}-3\ln(y)[/tex]
Combine fractions:
[tex]\displaystyle{=\frac{1}{2}-\frac{6\ln(y)}{2} \\ =\frac{1-6\ln(y)}{2}}[/tex]
Hence, our answer is (2).
Related Questions
often considered the slope, this is the comparison of two different quantities that are changing
Answers
Answer:
I believe that would be the rate..
Step-by-step explanation:
NEED HELP ASAP
Solve 4 – x = –8.
Answers
Answer:
i think it is 12 positive
Step-by-step explanation:
i think
I'm writing a short story and I'm stuck on what should happen next. could you give me some ideas?
"M-Mr. Jacks!¨ Kate exclaimed, she turned her head to face him. His back was facing the sun and all she could see was the dark outline of his body. Kate stood up frantically, ¨You made it!¨ she was so excited. She noticed it was only him and wondered how everyone else was. “Did anyone else make it out?¨ she asked. He just stood there, no response. Instead, he walked closer, close enough for kate to actually see him. It wasn't Mr. Jacks. Standing there was a shadowy humanoid figure, it's presence gave her chills. Kate stepped back in fear. The shadow tilted it's head in an unnerving matter then lunged at her. ¨Ack!” Kate exclaimed, barely dodging it's attack. Although it ripped her shirt she was fine. W-what the heck, Kate thought. It lunged at her again, completely missing. Terrified, Kate started running, whatever this thing was she knew that she did not want to be caught up in it's attack. The shadow started chasing after her, it's form shifted, the legs got longer and the fingers were transformed into long dagger-like weapons. Oh no. oh no no no no. She thought and started running even faster Kate was running for a long time and was running out of breath, while the shadow was gaining on her. Well this is it i guess. She thought, breathing heavily. There's nothing i can do. Tears started forming in her eyes, even though this might be her last moments she had a smile on her face. At least this is better than starving to death in that bubble. Then all of a sudden Kate heard a gunshot. She looked behind her and this beautiful african american girl stood there, finger on the trigger. Another shot was fired and the shadow fell to the ground, shiveled up on the floor. The girl had short puffed hair, cold dark eyes, and had scars that covered her body. ¨Are you alright?¨ she called out. Kate fell to her knees and sighed in relief. Oh thank god. The girl walked over to her, ¨whats your name hon?¨ she asked. Kate looked up and replied, ¨My names kate and do you mean if i'm physically or mentally alright?¨ Which made the girl chuckle. ¨you seem fine to me¨ she said. ¨The names Alyiah.¨
I'll give extra points after and I'll mark brainiest
Answers
Answer:
Either they converse s little more like if Kate asks "You came just at the right time! When did you get here?" or Alyiah says something like "Now come with me, I'm taking you to somewhere safe"
Step-by-step explanation:
This story sounds super cool, keep it up !!!
Solve for r: 7r+ 30 = -65
Answers
Answer:
R= - 95/7
Step-by-step explanation:
PLS HELP:
Choose the correct slope of the line that passes through the points (1, −3) and (3, −5). (1 point)
A. −1
B. 1
C. 0
D. one half
Answers
(-5+3)/(3-1) = 2/2
The slope is B. 1
Answer: A
Step-by-step explanation: do y2-y1/ x2-x1 and solve to get the slope...that gives you -1
(10+4)(5x-22)=3(4x-6)
Answers
Answer:
Solution: x =5
Step-by-step explanation:
Solving Equations
Solve the following equation:
( 10 + 4 ) ( 5x - 22 ) = 3( 4x - 6 )
Operating:
14( 5x - 22 ) = 3( 4x - 6 )
Removing parentheses:
70x - 308 = 12x - 18
Subtracting 12x and adding 308:
70x -12x = 308 - 18
Operating:
58x = 290
Dividing by 58:
x = 290/58
x = 5
Solution: x =5
What is the slope for the following two points: (-1,2) and (5,-3) Your answer
Answers
Answer:
I got -5/6
Step-by-step explanation:
Y2-Y1/X1-X2
So -3-2/5-(-1) =-5/6
I hope this is the right answer :)
Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers. The arrows should point in the negative direction. The small arrows should end in the same place as the large one. The arrows should end on negative 15. The arrows should start at zero. There should be 5 small arrows.
Answers
There is no diagram for illustration but I will explain each option using assumptions
Answer and explanation:
If Emily divides -15 by 5, the result would be
-15/5=-3
The arrows should point in the negative direction: yes we have a negative result hence -3 should be on the negative side of the number line
The small arrows should end in the same place as the large one: this should be known from the diagram but I assume we are talking about decimal numbers in between whole numbers on the number line. The small arrows for decimals and the large ones for the whole numbers. Here the result is -3 therefore we should have a large arrow pointing to it, and not a small arrow
The arrows should end on negative 15: our result is -3 or negative 3 therefore the arrow should end on negative 3 and not negative 15.
The arrows should start at zero: zero is like the boundary between negative and non negative numbers. Arrows should count from 0 to negative or non negative direction on the number line
There should be 5 small arrows: there should be large arrows and less than 5 counts as our result is negative 3 and not 5
Please hurry What is 4/15 divided by -3/5
Answers
Answer: -1 1/3 I believe
Answer:
-4/9
Step-by-step explanation:
=4/15 * -(5/3)
=-20/45
=-4/9
PLEASE HELP MEH!!!!!!!!!:
Answers
Answer:
A
Step-by-step explanation:
Point slope form
x, y
[tex](y-x)= (slope)(x-y)[/tex]
So its
[tex]y-6=\frac{1}{2}(x+3)[/tex]
So option 1.
Hope this helps plz hit the crown :D
Answer:
B
Step-by-step explanation:
y=mx +b
y= 1/2x = b
y intercept (0,-6)
Carrie and Alex are playing hide and seek Alex stands at the house to count Carrie runs 25 m west and finds nowhere to hide. She Continues 60 m north to the tree
Answers
Answer:
65mStep-by-step explanation:
Since we are not asked what to find, we can as well calculate the displacement of Carrie.
Displacement will be gotten using Pythagoras theorem;
Given
direction through west x = -25m
direction through north y = 60m
Required
Displacement d
According to the theorem;
d² = x²+y²
d² = (-25)²+(60)²
d² = 625 + 3600
d² = 4225
d = √4225
d = 65 m
Hence the displacement of Carrie is 65m
A soccer ball on the ground was kicked with an initial velocity of 35 ft/sec at an elevation angle of 40º. Create a set of parametric equations to model the path of the soccer ball. Approximately how far away did the soccer ball hit the ground?
19 feet
26 feet
38 feet
52 feet
Answers
Answer:
38 feet.
Step-by-step explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 35 ft/s
Angle of projection (θ) = 40º
Acceleration due to gravity (g) = 9.8 m/s²
Range (R) =?
Next, we shall convert 9.8 m/s² to ft/s². This can be obtained as follow:
0.3048 m/s² = 1 ft/s²
Therefore,
9.8 m/s² = 9.8 m/s² × 1 ft/s²/ 0.3048 m/s²
9.8 m/s² = 32.15 ft/s²
Thus, 9.8 m/s² is equivalent to 32.15 ft/s².
Finally, we shall determine how far away the soccer ball hit the ground (i.e range) as shown below:
Initial velocity (u) = 35 ft/s
Angle of projection (θ) = 40º
Acceleration due to gravity (g) = 32.15 ft/s²
Range (R) =?
R = u² × Sine 2θ / g
R = 35² × Sine (2×40) / 32.15
R = 1225 × Sine 80/ 32.15
R = 1225 × 0.9848 / 32.15
R = 37.5 ≈ 38 feet.
Thus, the soccer ball hit the ground 38 feet away.
Answer:
The anwser is C.
Step-by-step explanation:
i need help with #5 to #the other side 1-5
Answers
pete grabbed 18 mixed nuts, 2/9 of which were almonds. which equation shows how to determine the number of almonds pete grabbed?
Answers
Step-by-step explanation: 2/9 x 2 = 4/18, so 4 out of 18 mixed nuts were almonds.
Answer:
4
Step-by-step explanation:
4
8. Madison can complete two skirts in 15 days. How long will it take her to
complete eight skirts?
Answers
Answer:
60 days
Step-by-step explanation:
2:15
x4 x4
8:60
Need some help with this, 2 answer problem! Please help
Answers
Answer:
Part 1. Use x = 1.
Part 2. Use x = 0
Step-by-step explanation:
If x = 1, you have
[tex]\frac{9^1}{5^1} = \frac{9}{5}\\[/tex] , which is greater than 1.
If x = 0, you have
[tex]\frac{9^0}{5^0} = \frac{1}{1} = 1[/tex], which is NOT greater than 1.
Plz help thank you lol help
Answers
Please help!!!!!!!!!
Answers
(Answer is bolded, and underlined)
If we imagine that point D is on the negative side of the X axis, because right now, it is on the positive, and we need its reflection. If we flip it over, it becomes a -5, and the Y axis will stay the same, so the answer is
(-5, -3)
Answer:
(5, 3)
Step-by-step explanation:
If you kind of 'flip' the figure of=ver the x-axis, you'll see that every coordinate has the same numbers but has different positive and negative signs. If you flip the figure over the x-axis, point D will be in the first quadrant. Since the first quadrant is (positive, positive), then you change the signs to (positive, positive.)
Write the following ratio as a fraction in simplest form: 15 carnations out of 24 flowers.
Answers
Answer:
5/8
Step-by-step explanation:
15/24
divide both sides by 3
If 16 pizzas cost $84.80, how much will 12 pizzas cost in dollars?
Answers
I took 84.80 / 16 and got 5.30
Then took 5.30*12 and got 63.60
Hope this helps
Answer:
The 12 pizzas cost 63.6$
Step-by-step explanation:
So we get 84.80 divided by 16 which is equal to 5.3
So that's mean 5.3 is the price of 1 pizza
and here they are asking how much 12 pizzas would cost
which mean that we need to get 5.3 multiply by 12 which is 63.6$
So in conclusion 12 pizzas will cost 63.6$
Ed's new car has a value of $23,500, but it is expected to depreciate at a rate of 7.5% per year. What is the value of Ed's car after 7 years? Round to the nearest dollar, as needed.
$0
$142,162
$13,616
$14,720
Answers
Answer:
$13,616
Step-by-step explanation:
For each year we will have to constantly decrease it by 7.5%
23,500 - 7.5%
= 21,737.5
= 21,737.5 - 7.5%
= 20,107.1875
= 20,107.1875 - 7.5%
= 18599.1484375
= 18599.1484375 - 7.5%
= 17204.2123047
= 17204.2123047 - 7.5%
= 15913.8963818
= 15913.8963818 - 7.5%
= 14720.3541532
= 14720.3541532 - 7.5%
= 13616.3275917
Definitively we will get the answer $13,616
I will mark brainliest please help...
Answers
Step-by-step explanation:
#1. y - 5 = 5/3(x-3)
y - 5 = 5x/3 - 5
3y = 5x
#2. 3y = 3x (÷3)
y = x
#3. y - 1 = 1/3(x-3)
y - 1 = x/3 -1
3y = x
#4. y + 2 = -2/3(x-3)
y + 2 = -2x/3 + 2
3y = -2x
#5. 3y = -4x
#6. 3y = -6x (÷3)
y = -2x
If they are correct, please don't forget to make me brainliest and follow me if you wish to
The school athletic director has a storage closet that 4 1/2 feet long, 2 2/3 feet deep, and 6 feet tall. a. She wants to put a carpet in the closet. How much carpeting will she need? b. The athletic director wants to store cube boxers that are 1/2 foot wide. How many boxers will the storage hold?
Answers
Answer and Explanation:
The closet is 4 1/2 feet long, 2 2/3 feet deep, and 6 feet tall
Since we are not given width of the closet, we assume the base of the closet has equal width and length = 4 1/2 feet(closet base is a square)
Closet is 2 2/3 feet deep and 6 feet tall, therefore closet height internal = 8 2/3 feet
a. How much carpeting will she need?
The carpeting needed for the closet = area of base of the closet(square base)= 4 1/2* 4 1/2 = 4.5*4.5= 20.25 square feet
b. The athletic director wants to store cube boxers that are 1/2 foot wide. How many boxers will the storage hold?
Area of base = 20.25
Area of base of each cube on the floor = 0.5*0.5= 0.25
So we know that the base of the closet will hold
20.25/0.25= 81 boxer cubes
Or we could straight to the point
Find volume of the closet( the closet is clearly a cuboid) and divide by the volume of one cube to find number of cubes that will fit into the closet
Volume of the closet/cuboid = l*w*h =4.5*4.5*8.67/0.25
=702.27
Therefore number of boxer cubes to fit in closet= 702
Select the correct answer from each drop-down menu.
Use the remainder theorem to verify this statement.
(x+5) is a factor of the function f(x) = x^3 + 3x^2 - 25x - 75
1. Find the (product, quotient, difference, sum) of f(x) and x + 5
2. The (quotient, remainder, sum, discriminant) of this operation is 0
3. Therefore, (x+5) is (not a factor, the opposite, a factor, the simplified form) of function f
4. So f ([-75, 5, -5, 75)] = 0
Answers
1. quotient
2.remainder
3. a factor
4. 5
Step-by-step explanation:
i just took the test
The expression (x + 5) is a factor of given function f(x).
So the remainder of the function will be zero.
Remainder theorem:The given function is,
[tex]f(x) = x^3 + 3x^2 - 25x - 75[/tex]
We have to check (x + 5) is a factor of the given function.
Equate (x + 5) is equal to 0.
x + 5 = 0
x = -5
Substitute x = -5 in given equation.
[tex]f(-5)=(-5)^3+3(-5)^2-25(-5)-75\\\\f(-5)=-125+75+125-75\\\\f(-5)=0[/tex]
Since f(-5) = 0. Therefore, (x + 5) is a factor of given function f(x).
Learn more about the remainder theorem here:
https://brainly.com/question/13328536
A seamstress needs to cut 15 pieces of ribbon
A7
B35
C135
D8100
Answers
What is the height of the building in miles? Express the answer as a fraction in simplest form.
Answers
Answer:
3/22, a mile is 5,280ft so you put 720 over 5,280(720/5,280) and simplify it to get 3/22
Step-by-step explanation:
PLEASE LORD HELP MEEEEEEE i need to find the ordered pairs (a.k.a. find the x and y value of the equations
PLEASE HELP MEEEE I'M DYINGGGGG
Answers
Answer:
I am not 100 percent sure, it's been a long time since I've done this type of math but I think that these are the answers
Step-by-step explanation:
1. x= -3, y=-3
2. x= 5, y= -2
3. x= -3, y = -7
4. x=2, y= 1
5. x=0, y= -4
ASAP due in the morning please help me look over this I will mark you brainliest
Answers
G is similar.
L is similar.
pretty sure the rest are right.
Which of the following is a correct interpretation of the expression -3 - 5
Answers
Answer:
c
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:3х + 8 + 10cjdidjdjdhdjdj
Answers
Answer:
3x+18
Step-by-step explanation:
Answer:
3 ( x + 6)
Step-by-step explanation:
3x + 8 + 10
add numbers together
3x + 18
factor out the 3 from the expression
3 (x + 6)
not sure about all the letters ? but hope this helps nn