Answer:
[tex]\huge\boxed{f'(x)=-\dfrac{e^\frac{1}{x}}{x^2}}[/tex]
Step-by-step explanation:
[tex](e^x)'=e^x\\\\\bigg[f\bigg(g(x)\bigg)\bigg]'=f'\bigg(g(x)\bigg)\cdot g'(x)\\\\\left(\dfrac{1}{x}\right)'=-\dfrac{1}{x^2}\\\\====================[/tex]
[tex]f(x)=e^\frac{1}{x}=\left(e^\frac{1}{x}\right)'\cdot\left(\dfrac{1}{x}\right)'=e^\frac{1}{x}\cdot\left(-\dfrac{1}{x^2}\right)=-\dfrac{e^\frac{1}{x}}{x^2}[/tex]
Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Answer:
11 am
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once
Bus B takes 40 minutes to complete its route once.
We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route
30 = 3 × 10
40 = 4 × 10
= 3 × 4 × 10
= 120 minutes
120 minutes after 9 am is
60 minutes = 1 hour
60 minutes = 1 hour
= 2 hours.
9am + 2 hours
= 11 am.
Therefore, they be back at the bus depot together at 11 am
Can someone please help me?
Answer choices:
-Less than
-Greater than
-Greater than or equal to
-Less than or equal to
Answer:
4 + √15 > 3 + √6
Step-by-step explanation:
Hi there !
√15 ≈ 3.87
4 + 3.87 = 7.87
√6 ≈ 2.44
3 + 2.44 = 5.44
7.87 > 5.44
4 + √15 > 3 + √6
Good luck !
From 80 pencils to 152 pencils
Answer:
72
Step-by-step explanation:
152
- 80
72
Bring down the 2. Then make the 5 a 15 from taking away from the 1 making that a zero. Then Subtract 8 from 15 that makes 7. So it is 72.
:) I Hope you enjoy:)You need to find three numbers that come in quick succession in the order of numbers (ex. 1, 2 and 3) and which
in total gives 30. What are the numbers?
equation
Answer:
set middle number=x
then left side number=x-1
and right side number=x+1
(x-1)+x+(x+1)＝30
3x=30
x=10
x-1=9
x+1=11
numbers are 9,10,11
Please read and analyze the prompt and answer both A and B to receive full credit. Both parts of the question must be written in a complete sentence.
a. On a hot day, a football team drank an entire 50- gallon cooler of water and half as much again. How much water did they drink?
b. Jada has 12 library books checked out and Han has LaTeX: \frac{1}{3}1 3 less than that. How many books does Han have checked out?
Answer:
b. Graph each equation. c. How long will it be before Alberto has read more ... Since the answer works in both equations, (3.1, 115) ... First, solve the first equation for y to get 2x − 6 = y.
Identify the range of the function shown in the graph.
Answer: [tex]-1 \le y \le 1[/tex]
The range is the set of all possible y outputs of a function. The graph shows the smallest possible y value is y = -1, while the largest is y = 1. The value of y can be anything in between.
If you need the range in interval notation, then you would write [-1, 1]. The square brackets indicate we include each endpoint.
Note: This is likely the graph of y = sin(x)
if c u means 20cd determine the value of 4 how to do maths how to do maths
Answer
4
Step-by-step explanation:
Lets assume that the variable "cu" is equal to 20cd. The value of this is 4. now we cancel out c from both sides, and get u = 20d = 4. Meaning d is 5, and u is 4. Lastly, u isnt a defined variable, so this shall work for any case.
Which one?
A. B. C. or D?
C. 7/2x -2.
Because slope is positive, y intercept is -2.
7/2 because if rise over run
Branliest would be appreciated if this helped
pls help answer question in picture
Step-by-step explanation:
2 1/3
=2*3+1/3
=7/3
5x-2=3x+4
what does x equal
Answer:
x=3
Step-by-step explanation:
5x-2=3x+4
[tex]5x-2+2=3x+4+2[/tex]
[tex]5x=3x+6[/tex]
[tex]5x-3x=3x+6-3x[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2}=\frac{6}{2}[/tex]
[tex]x=3[/tex]
Frank also has an eraser. It has a mass of 3g, and a volume of 1cm3. What is its density?
what is the point slope intercept form of Y=2/3X -2 and the standard form? pls help asap
Answer: slope intercept is y=mx+b
standard form is Ax+By=C.
point slope form is y-y₁=m(x-x₁)
so y=2/3x+2 is slope intercept
Answer:
+Slope-intercept is... y=mx+b
+The standard form is... Ax+By=C.
+A point-slope form is... y-y₁=m(x-x₁)
+So... y= x+2 is... slope-intercept
❤ I hope this helps you, ma'am/sir/whatever your pronouns are! ❤
Select all the equations that have the same solution as the equation 3x-12=24
Answer:
Select all the equations that have the same solution as the equation 3x-12=24
Step-by-step explanation:
Bella invested $1000 this past year and earned $110 in interest. Bella's investment portfolio was made up of two items: stocks, which earned 15% interest, and bonds, which earned 7% interest. How much money, in dollars, did Bella invest in stocks this year? Enter your answer as a number with two decimal places.
Answer: Bella invested $500 in first and $500 in second stock this year.
Step-by-step explanation:
Given: Total principal amount = $1000
Interest = $110
For first year , interest = P x r , where P= principal , r= rate of interest ( in decimal)
For first bond , interest rate= 15% = 0.15
Let P = x
Interest = 0.15x
For second bond , interest rate= 7% = 0.07
Let P = 1000-x
Interest = 0.07(1000-x)=70-0.07x
Now, [tex]0.15x+70-0.07x=110[/tex]
[tex]\Rightarrow\ 0.8x=40\\\\\Rightarrow x=\dfrac{40}{0.08}\\\\\Rightarrow x=500[/tex]
Also, 1000-x = 1000-500=500
Hence, Bella invested $500 in first and $500 in second stock this year.
if the centroid of the triangle formed by (x,0), (5.2) and (-8.y) is at (-2,1) then (x,y) is equal to
only proper people will be given this mark...or else will fire u from brainly...
Answer: Hola, ila munkililakum ghithishalan fee mabruk ilal habeebi
Find the missing integers using appropriate properties.
-18+(-29)= -29+ _ =_
please help me
Answer:
I would use associative property and the awnser should be -29+-18= -47
Step-by-step explanation:
i hope that helps im very sorry if thats not right
The point (1, –5) is reflected across the y-axis. A coordinate plane. What are its new coordinates?
Answer:
(-1,-5)
Step-by-step explanation:
Answer:
HMM C..... Answer: Choice C. (-1, -5)
Step-by-step explanation:
The reflection rule we use is
when we want to reflect over the y axis. The x coordinate flips from positive to negative, or vice versa, while the y coordinate stays the same.
May somebody please help me
Answer:
I can't see the options
Step-by-step explanation:
Could you please put the answer with the letter? Does not need to be in order too.
Answer:
54=n u=25 G=50 O=31 D=42
B=58 R=30 F=60
Step-by-step explanation:
hopefully, it's right
Jason went to his local zoo that featured 38 reptile exhibits. If these reptile exhibits make up 95% of the zoo's exhibits, then how .any exhibits does the zoo have in total
Answer:
40 exhibits
Step-by-step explanation:
First, we will what we have gotten into fractions.
There are 38 reptile exhibits, but we dont know how much exhibits there is total, so we will make the total x: 38/x
We know that a percent is out of 100, so our fraction for the percent is 95/100
Now we are going to cross multiply 38/x and 95/100
38 * 100 = 3800
x * 95 = 95x, so 3800 = 95x
Divide both sides by 95 and you get 40.
Please mark brainliest, thank you!!
Please help! I have about a hour!
6 = m - 16
a) m = 20
b) m = 24
c) m = 22
d) m = 21
Answer:
c
Step-by-step explanation:
A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four terms in the sequence?
A.−5, 4, 13, 22
B.9, 4, −1, −6
C.−5, −45, −405, −3645
D. 9, −45, 225, −1125
Answer:
A
Step-by-step explanation:
For the sequence, the defining formula is given as;
an = Previous term + 9
So a2 will be -5 + 9 = 4
a3 will be 4 + 9 = 13
a4 will be 13 + 9 = 22
a5 will be 22 + 9 = 31
So the sequence of numbers will be;
-5, 4 , 13 , 22 , 31
What is the midpoint between (2,4) and (10,16)?
Answer:
the midpoint would be (5,9)
Answer:
(6, 10 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1+y_{2} } }{2}[/tex] )
Here (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (10, 16) , thus
midpoint = [tex]\frac{2+10}{2}[/tex], [tex]\frac{4+16}{2}[/tex] ) = ( [tex]\frac{12}{2}[/tex], [tex]\frac{20}{2}[/tex] ) = (6, 10 )
Marietta was given a raise of $0.25 per hour, which gave her a new wage of $10.75 per hour. Enter and solve an equation to determine Marietta's hourly wage, x, before the raise. Complete the explanation to show that your answer is reasonable.
Answer:
10.50$
Step-by-step explanation:
What are the x- and y-intercepts of the graph of 5x + y = 20?
x-intercept: 16
y-intercept: 0
x-intercept: 4
y-intercept: 20
x-intercept: 5
y-intercept: 1
x-intercept: 1
y-intercept: 5
x-intercept: 4
y-intercept: 20
Answer:
Step-by-step explanation:
x-intercept: 4
y-intercept: 20
On field trips, there must be 2 chaperones for every 15 students. Which ratio correctly expresses the ratio of students to
chaperones?
2:15
15:17
17:15
15:2
Answer:
D:15:2
Step-by-step explanation:
Trust me on this and also because I have a reason.
2 chaperones for every 15 students
students to
chaperones
15 students for every 2 chaperones
Can I have brainlest please, and I hope you do well!
Can someone please help me answer these
Step-by-step explanation:
5: odd
6: even
7: even
That's your answer
5/8 × 3/7 in its simplest form?
Answer:
15/56
Step-by-step explanation:
5/8 * 3/7 =
15/56
Answer:
15/56
Step-by-step explanation:
5/8 times 3/7
[tex]\frac{5 times 3}{8 times 7}[/tex]= 15/56 which is already in simplest form
Please correct me if I am wrong.
Are these two expressions equivalent 42+35 and 7(6+5)
Answer:
Yes
Step-by-step explanation: