If you know your derivative rules, then
d/dx [1/x] = -1/x ²
so that when x = 6, the derivative has a value of -1/36.
If you have to use the definition of the derivative, then
d/dx [1/x] = lim {h → 0} (1/(x + h) - 1/x) / h
… = lim {h → 0} (x - (x + h)) / (hx (x + h))
… = lim {h → 0} (-h) / (hx (x + h))
… = lim {h → 0} (-1) / (x (x + h))
… = -1/x ²
and at x = 6, you again get -1/36.
Alternatively, use the definition of the derivative at a point:
d/dx [1/x] (6) = lim {x → 6} (1/x - 1/6) / (x - 6)
… = lim {x → 6} ((6 - x) / (6x)) / (x - 6)
… = lim {x → 6} -(x - 6) / (6x (x - 6))
… = lim {x → 6} (-1) / (6x)
… = -1/36
$3.50 nail polish marked up to $8.75. explain it please like example.
Answer:
the pice goes up 5.25 more i dont get what is asked btw
Step-by-step explanation:
Answer:
150%
Step-by-step explanation:
Sorry I don't know how to explain this since I just got this from my test.
2x+9y=8 and 2x-9y=8 as an ordered pair
Answer:
hope it helps thanks I have made it in above
HELLLLLLLLLLPPPPPPPPPPP PLEASE NOW I WILL GIVE BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_BRAINLIEST_
Answer:
Step-by-step explanation:answer is c
at Kayla swimwear 6 out of 20 style at the store are bikinis what percentage of swimsuit styles at the store are bikinis
Answer:
is wrong，6/20,3/10
Step-by-step explanation:
-3xy-x²y²+1 is evaluated when x=-1 and y=-1 , then what is the exact value ?
Answer:
-3
Step-by-step explanation:
-3(-1)(-1)-(-1)^2(-1)^2+1
=-3
hopes this helps?!?!
Answer -2
Step-by-step explanation:
-3(-1)(-1)-(-1)^2(-1)^2+1
-3-1+1+1
-4+2
=-2
166. Запишите все целые числа, расположенные на координатной прямой между числами:
Answer:
Don’t speak that language sorry maybe translate into English?
Name the quadrant in which lies.
tan(theta)<0 , csc(theta)<0
The angle (theta) lies in which quadrant?
Answer:
Quadrant III (Quadrant Three)
A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is .9 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? What if the arrival probability is only .5 instead of .9?
Answer:
[tex]\text{For topic A }:0.99\\\text{For Topic B}: 0.6875[/tex]
Step-by-step explanation:
Topic A: Two books are ordered
Topic B: Four books are ordered
Let X= number of books arrived
The probability that a book actually arrives in time is 0.9
i.e., p=0.9
For Topic A:
[tex]P(X\geq 1)=P(X=1)+P(X=2)\\\Rightarrow P(X\geq 1)= \;^2C_1 (0.9)^1(0.1)^(2-1)+\;^2C_2 (0.9)^2(0.1)^(2-2)\\\Rightarrow P(X\geq 1)=0.18+0.81\\\Rightarrow P(X\geq 1)=0.99[/tex]
For Topic B:
[tex]P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)\\\Rightarrow P(X\geq 2)=1-[P(X=0)+P(X=1)]\\\Rightarrow P(X\geq 2)=1-[\;^4C_0(0.5)^0(0.5)^4 +\;^4C_0(0.5)^1(0.5)^3]\\\Rightarrow P(X\geq 2)=1-[0.0625+0.25]\\\Rightarrow P(X\geq 2)=0.6875[/tex]
the ratio of the number of girls to the number of boys in a school is 9:10. There are 900 boys in the school.
Work out the total number of students in the school
Answer:
1710 students.
Step-by-step explanation:
=>900/10=90
=>90x9=810 (girls)
=>810+900=1710 students in total
Hope this helps! ;)
What is 80% as a fraction in reduced form? StartFraction 1 Over 8 EndFraction StartFraction 4 Over 5 EndFraction StartFraction 8 Over 10 EndFraction StartFraction 40 Over 50 EndFraction
Answer:
4/5
Step-by-step explanation:
Answer:
its 4 over 5
Step-by-step explanation:
(trust me)
Can some plz help me I need it rn
Answer: Brians milk
Given h(x) = 4x2 - 5x + 4 find h(-5).
9514 1404 393
Answer:
h(-5) = 129
Step-by-step explanation:
Put -5 where x is and do the arithmetic.
h(-5) = 4(-5)² -5(-5) +4
h(-5) = 4(25) +25 +4 = 129
Answer:
answer is 129
Step-by-step explanation:
4(-5)^2 -5(-5) +4 =129
four pieces of pie were eaten from a pie cut into equal parts. The 5 pieces that remained created an angle that measured 200°. What was the angle measure of one piece of pie
Step-by-step explanation:
The 5 pieces that remained created an angle that measured 200 degree means that the 4 pieces made 360-200 degrees 160o.
If all four made 160 then each has to be 160/4 = 40o
200/5 also gives you 40 (the five remaining)
360/9 would also give you 40 9the 5 remaining and the 4 eaten)
I hope this helps
Tthere are 5 people already in the pool.jonas and his 2 friends get in.how many people are in the pool
I will mark genius!!! Please help
change the fraction to a decimal and a percent. go three decimal places
Solve the equation. Please make sure you double-check your solution (answer).
15 = z -35
line p had a slope of 5/4. line q is perpendicular to line p. what is the slope of line q?
Answer: -4/5
Step-by-step explanation: It's important to understand
that perpendicular lines have negative reciprocal slopes.
"Negative reciprocal" is just a fancy way
of saying flip the fraction and change the sign.
So if we flip the fraction 5/4 we get 4/5 and
if we change the sign we get -4/5.
If y varies directly as x
and x= 4 when y = 14,
find y when x = -10.
Reflect the trapezoid in the x-axis. Then translate the trapezoid 2 units left and 3 units up. The coordinates of the final image are:
Answer:
its already over the X axis 0_0
Step-by-step explanation:
I dont think you can flip that
I need help ? Answer below
Answer:
C
Step-by-step explanation:
Just trust me and mark brainliest if this helped ;)
Answer:
B. the bookstore spends more on supplies than advertising.
Step-by-step explanation:
3/12 is spent on supplies and 2/12 is spent on advertising
which fraction is equevleint to 5/7
Answer:
10/14
Step-by-step explanation:
Answer: 10/14
Step-by-step explanation:
Use SSS, SAS, ASA, AAS, or Not Enough Information to identify the postulate or theorem that immediately confirms the congruence for each pair of triangles. Justify your answer.
Answer:
e) SAS
f) Not enough information
Step-by-step explanation:
e) Sas because there is an angle in between two sides and for that angle is opposite angles
f) Not enough information because SSA is not a theorem
Make y the subject of the following equation.
5x + y = -10
a. y = -5x + 10
b. y=-10 - 5x
c. y = -10 + 5x
d. y + 10 = -5x
Answer:
b
Step-by-step explanation:
if you subtract 5x then you will get y=-10-5x
One lap around the lake is 710 mile.
Dasha runs 9 laps around the lake.
Use the drop-down menus to complete the equation.
Jdjdjdjdjjdjdjjsjdjsjsjsk
Answer:
the 2nd answer
Step-by-step explanation:
i dont know how to explain it but the 2nd onr
Identify the reason that justifies each statement.
Answer:
Vertical angles
Step-by-step explanation:
The diagram shows two straight line intersecting to form vertical angles. One of such pair of vertical angles formed is <1 and <2.
Vertical angles are congruent to each other. Therefore, the reason why <1 ≅ <2 is because they are vertical angles or vertical angles pair.
directions: solve each equation below and type your answer in the answer column. Type all answers in decimal form
Answer:
11. x = 3.5
12. x = 11.75
13. x = 79.6
14. x = 2.2
15. x = 24.80
16. x = 11.75
17. x = 196.5
isnsjsuudd
the entrance fee for daily tasks zoo is $8.50 per person the price for a monthly passes $52.50 if Maya goes to the zoo 10 times this month how much would she save by purchasing a monthly pass
Answer:
she will save $32.50 with the monthly pass
Step-by-step explanation:
i dont know this help me
Using the textbook example of 420 California school districts and the regression of testscores on the student-teacher ratio, you find that the standard error on the slope coefficient is 0.51 when using the heteroskedasticity robust formula, while it is 0.48 when employing the homoskedasticity only formula. When calculating the t-statistic, the recommended procedure is to A. use the homoskedasticity only formula because the t-statistic becomes larger B. first test for homoskedasticity of the errors and then make a decision C. use the heteroskedasticity robust formula D. make a decision depending on how much different the estimate of the slope is under the two procedures
Answer:
The answer is "Option C".
Step-by-step explanation:
Robust standard errors or generic White-Huber mistakes depending on this procedure. This is also recognized as the Variance Sandwich Stimator because of the appearance of the formula. Therefore, which is under homoskedasticity, robust error terms were appropriate, in which the standard deviations of its predictor variables are non-constant and are tracked across different values or linked to pre-time periods of an exponential function.