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]
What is an equation of the line that passes through the point (7, -7) and is
perpendicular to the line x – 2y = 2?
Answer:
set two equation of line y=ax+b and y=cx+d
when these two lines are perpendicular to each other, then a*c=(-1)
x-2y=2
=>x-2=2y
=>(1/2)x-1=y
set the answer is y=ax+b
we can know that a/(1/2)=(-1)
=>a=-2
bring a=-2 and(7,-7) in y=ax+b
-7=(-2)*7+b
=>b=7
the answer is y=-2x+7
Someone help ASAP!!!
Pleaseee
Answer: C
Step-by-step explanation:
A slide is when you slide it over and a flip is when you flip it around
the answer is C because it said slide than flip across
Find the distance between (8,-4,7) and (8,5,3)
Answer:
sqrt(97)
Step-by-step explanation:
Since the x for both of the points are the same, we can reduce the problem to "find the distance between (-4, 7) and (5, 3)".
To do that, we can use the Pythagorean theorem, where (change in x)^2+(change in y)^2 = (distance)^2:
(5-(-4))^2+(3-7)^2=d^2
(9)^2+(-4)^2=d^2
81+16=d^2
97=d^2
d=sqrt(97).
-2/9 ÷ 1/2 as a fraction
Answer:
-4/9
Step-by-step explanation:
-2/9*2/1
-4/9
Answer:-4/9
Step-by-step explanation:used a caculator
what is 1/2 x2/5 =
and 3/4 x 5/9 =
1/5
5/12
Step-by-step explanation:Hi there !
1/2 × 2/5 = 1×2/2×5 = 2⁽²/10 = 1/5
3/4 × 5/9 = 3×5/4×9 = 15⁽³/36 = 5/12
Good luck !
Answer:
1/5
5/12
Step-by-step explanation:
These are the answers because:
1) Whenever we multiply fractions, we have to multiply the numerator with the numerator and the denominator with the denominator.
2) In this case it would be:
1/2 x 2/5 = 1 x 2/2 x 5 = 2/10 = 1/5
3/4 x 5/9 = 3 x 5/4 x 9 = 15/36 = 5/12
Hope this helps! :D
2. What is the equation in slope-intercept form of the line that passes through the given points in
the table?
x
2
3
y
-1
-4
Answer:
3y= -1 + 2x -4
Step-by-step explanation:
cause.... COOCHIEMAN
What's the difference between Direct and Inverse Proportion? Please explain
Answer: Direct means when x goes up y also goes up, inverse means when x goes up, y goes down and vice versa.
Answer:
Step-by-step explanation:
The answer is that with direct variation, the value and the quantity changes and goes according, either lower or higher, but with inverse variation, the value can go higher, and the quantity can go lower, and the quantity can go higher, but the value can be lower.
Estimate the square root of 19 to the nearest tenths place
After completing the fraction division 8 divided by StartFraction 1 Over 6 EndFraction, Patel used the multiplication below to check his work. StartFraction 1 Over 48 EndFraction times 6 = StartFraction 1 Over 48 EndFraction times StartFraction 6 Over 1 EndFraction = StartFraction 6 Over 48 EndFraction = StartFraction 1 Over 8 EndFraction Which is the most accurate description of Patel's work? Patel found the correct quotient and checked his work using multiplication correctly. Patel found the correct quotient but checked his work using multiplication incorrectly. Patel found an incorrect quotient but checked his work using multiplication correctly. Patel found an incorrect quotient and checked his work using multiplication incorrectly.
Answer:
Patel found an incorrect quotient and checked his work using multiplication incorrectly.
Step-by-step explanation:
After completing the fraction division 8 divided by StartFraction 1 Over 6 EndFraction, Patel used the multiplication below to check his work.
Correct calculation
8 ÷ 1/6
= 8 × 6/1
= 48
Check:
1/6 * 48
= 48 / 6
= 8
Patel's calculation
1/48 * 6
= 1/48 * 6/1
= 6/48
= 1/8
Patel found an incorrect quotient and checked his work using multiplication incorrectly.
Answer:
D on edge
Step-by-step explanation:
have a great day :)
hope this helps :)
What is the scale factor of 12?
Scale factor: A number that enlarges/reduces a figure or shape
Greater than 1
Less than 1
Equal than 1
Need Help!!!!
Answer:
Equal to 1
Step-by-step explanation:
By using the exponential delta we can infer that the orthogonal is correct because the high order bits multivariate and are asymptomatic.
f (x) = -43 +7
Using the function above, evaluate f (-2).
Hong needs to memorize words on a vocabulary list for Spanish class. He has memorized 30 of the words, which is five-sixths of the list. How many words are on the list?
Which problem solving strategy would be best to solve this problem? Four people are in line at the movie theater. Jennifer is ahead of Jeanie. John is not first or last in line. Jarett is directly in front of Jennifer. Name the order in which the people are standing in line. A. guess, check and revise B. compute or simplify C. work backwards D. write an equation
Answer:
C. work backwards
Step-by-step explanation:
Given from the first statement of the question that that four people are in line. This is the result of the question, so the strategy required would be the work backwards.
Jennifer is ahead of Jeanie implies that Jeanie is somewhere behind Jennifer. Since John is neither the first or the last in the line, then he must be between Jeanie and Jennifer. And Jarett is directly in front of Jennifer, so that Jarett is the first in line. The arrangement goes thus:
Jeanie ⇒ John ⇒ Jennifer ⇒ Jarett
Answer:
The answer is C, work backwards.
Step-by-step explanation:
I really hope this helps.
10m - 8n^2
(if m = 2 and 11 = -3)
The solution of the equation when m = 2 and 11 = -3 will be - 52.
What is a solution to a system of equations?For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs,
So solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
We have been given; 10m - 8n^2
(if m = 2 and 11 = -3)
If we plug in the variable
the equation is 20 - 8(-3)^2
Now, do the exponent
So, 20 - 8^9,
Then multiply
20-72 = -52.
Therefore, the solution of the equation when m = 2 and 11 = -3 will be - 52.
Learn more about finding the solution graphically here:
https://brainly.com/question/26254258
#SPJ2
The deductions from Jennifer monthly pay are federal income tax (FIT) of $87, state income tax (SIT) of 2.5% of gross pay, city income tax (CIT) of 1.2% of gross, social security, and Medicare. Her monthly net pay is $3,982.22. Find Jennifer's monthly gross pay
Answer:
$4,225.6
Step-by-step explanation:
Jenifer had the following deductions from her monthly pay
Federal income tax of $87
State income tax of 2.5% of gross pay
City income tax of 1.2% of gross pay
Jennifer monthly pay is $3,982.22
Therefore jenifer monthly gross pay can be calculated as follows
Let x represent the gross pay
x = 3982.22 + 87 + 1.2/100x + 2.5/100x
x = 3982.22 + 87 + 0.012x + 0.025x
x =4069.22 + 0.037x
Collect the like terms
x - 0.037x = 4069.22
0.963x = 4069.22
Divide both sides by the coefficient of x
x = 4069.22/0.963
x = 4,225.6
Hence Jennifer monthly gross pay is $4,225.6
In cross country, the team score is determined by the place each individual runner finishes. (For example, 1st place is one point, 16th place is 16 points, etc.) In their latest meet, the boys cross-country team scored 55 points. If there were five runners on the team and each runner finished one after another, what places did they come on? Explain your reasoning and support your answer. *
Answer:
Kindly check explanation
Step-by-step explanation:
Given that there were five rummers in the team;
Each runner finished one after the other
Total. Points scored =. 55
Let the positions of each runner be :
1sr runner = p
2nd runner =.p + 1
3rd runner =.p + 2
4th runner =.p + 3
5th runner =.p + 4
(1st + 2nd + 3rd + 4th +. 5th) runner = 55
(p + p + 1 + p + 2 + p + 3 + p + 4) = 55
5p + 10 = 55
5p = 55 - 10
5p = 45
p = 9
Hence,
1st runner = 9th
2nd runner = 9 + 1 = 10th
3rd runner = 9 + 2 = 11th
4th runner = 9 + 3 = 12th
5th runner = 9+ 4 = 13th
if your highway gas mileage is 26 and you take a trip that is 600 miles how much gas will you use
12. Bob thought of a number, added 5, multiplied
by 3 and took away 5 to give an answer of 10.
What was the starting number?
Answer:
0
Step-by-step explanation:
Say the number was x.
3(x+5)-5=10
3(x+5)=15
x+5=5
x=0
Look at the following graph and determine the slope of the line. AY 10 7 5 3 2 1 х 1 2 3 4 5 6 7 8 9 8 9 10
Answer:
I believe the slope is 2/3.
URGENT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
2 + 2 = ______
Answer
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2+2 = 4!!!
Hope this helps :)
−2(x+1/4)+1=5 PLEASE HELP
Answer:
x = -2 1/4
Step-by-step explanation:
-2(x + 1/4) + 1 = 5
-2x - 1/2 + 1 = 5
-2x + 1/2 = 5
-2x = 5 - 1/2
-2x = 4 1/2
-x = 2 1/4
x = -2 1/4
Hope this helps!
Let me know if I'm wrong :)
a square living room has an area of 225 square feet what is the perimeter of the room
Answer:
divide it by 4
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
225 divided by 2 is 112.5x4= 450 so 450 is your answer
There are two different maps of California. The scale on the first map is 1 cm to 20 km. The distance from Fresno to SanFrancisco is 15 cm.The scale on the second map is 1 cm to 100 km.What is the distance from Fresno to San Francisco on the second map? Explain your reasoning.b
Answer:
1500km
Step-by-step explanation:
1cm=100km
15•100=1500km
OMG i dont remember to find square roots
can someone please explain why 5√ 5 is equal to √ 125
15 pts and brainliest!
Answer:
5
Step-by-step explanation:
√125 / 5= √25 since 125 / 5 =25
√25 = 5
Answer:
5x25
Step-by-step explanation:
since its 5 you multiply it by 5 and then multiply why you got to another 5
what is 11/12 plus (-7/12)? simplest form
Answer:
1/2
Step-by-step explanation:
11/12 + (-7/12) have the same denominator so you can leave it as is.
11/12+(-7/12) is the same as 11/12-7/12 which is equal to 6/12 which can be simplified to 1/2
Please Help, this is 20pts worth it.. Please Don’t waste my points.. please help..
Answer:
1. 7+62+5+4
2. 18+62+5
3.15+4+1
4.5 families
6. three
Step-by-step explanation:
Chase and sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of gum for 5.70. Sara bought 2 pieces of fudge and 10 pieces of gum for 3.60. Determne If I were to buy 20 pieces of fudge and 20 pieces of bubble gum, it would cost me $
Let, price of fudge and gum is x and y respectively.
Converting given statements into mathematical equation.
We get :
5x + 3y = 5.70 ....1)
2x + 10y = 3.60 ....2)
Solving equation 1 and 2, we get :
x = $1.05 .
y = $0.15 .
Price of buying 20 pieces of fudge and 20 pieces of bubble gum is :
P = 20( 1.05 ) + 20( 0.15 )
P = $24
Hence, this is the required solution.
PLEASE HELP, MARKING BRAINLIEST!!!!
These triangles are congruent by _____.
A. SAS
B. ASA
C. AAS
D. SSS
Answer:
ASA Postulate
Step-by-step explanation:
It's Angle-Side-Angle Postulate because you can see two clearly congruent angles, two clearly congruent sides attached to that angle, and the angle connected to that line is congruent to the other triangles corresponding angle because they're vertical angles.
Answer:
B. ASA
Step-by-step explanation:
We know that the angles in which the triangles are connected are equal to one another because the lines continue and do not bend so that is your first angle, then we see a red line on both triangles indicating that the sides are equal. That is your side, and finally there is a red curve in both corners of the triangle indicating the angles are equal. Therefore the triangle is congruent by ASA.
Which list shows the numbers in order from greatest to least?
0.6, 0.453, 0.563, 0.4
0.4, 0.453, 0.563, 0.6
0.6, 0.563, 0.453, 0.4
0.563, 0.6, 0.453, 0.4
Answer:
c
Step-by-step explanation:
its really simple it's c
The surface temperature ranges from -2°C to 31°C. Find the difference between the max and min temperatures.
Answer:
33
Step-by-step explanation:
Answer:
29c
Step-by-step explanation: