Answers
Answer:
[tex]-\frac{9}{r^4}[/tex]
Step-by-step explanation:
Using Power rule
[tex]\frac{d}{dr} (r^n)=nr^{n-1}\\-\frac{9}{r^4}[/tex]
The answer is F'(r) = [tex]\mathrm {-\frac{9}{r^{4}}}[/tex].
We can rewrite the function as :
F(r) = 3r⁻³
Now, differentiate by power rule :
F'(r) = (-3)3r⁻³⁻¹
F'(r) = -9r⁻⁴
F'(r) = -9/r⁴
Related Questions
i literally can't figure out the answer to this, help would be very much appreciated.
(PICTURE INCLUDED BELOW)
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?
A. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
B. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
C. Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
D. Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis
Answers
Answer:
B
Step-by-step explanation:
The figure is in quadrant 1. When you do a 180 degree rotation it will out the image diagonally across into quadrant 3. Next reflect across the y-axis to get it in quadrant 4.
A 180 rotation will always end up diagonally across regardless if it is counterclockwise or clockwise.
Answer:
A. Counterclockwise rotation around the origin by 180 degrees followed by reflection around the x-axis.
Step-by-step explanation:
180° would be turning it counterclockwise 2 times. Thus putting it on the points of figure P'Q'R'S'.
Reflecting it across the x-axis would be putting it in the same position as P'Q'R'S'.
This being said, either way you did it, as long as you did it one of the two ways it would become a copy of PQRS. The answer is A.
Hope this helped you. Let me know if I got it correct!
- Abigail (:
hello, i need help c:
Answers
Answer: there were 50 guests
Step-by-step explanation:
Find the discriminant of the quadratic equation.
2i2+6i=4
Answers
- BRAINLIEST answerer
The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
coffee in the morning. How long will it take for only 60% of the caffeine to remain in his body?
Answers
We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.
We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.
So we can define the proportion of coffee that Jeremiah has in his body as:
P(t) = 1*e^{k*t}
Such that:
P(4.8 h) = 0.5 = 1*e^{k*4.8}
Then, if we apply the natural logarithm we get:
Ln(0.5) = Ln(e^{k*4.8})
Ln(0.5) = k*4.8
Ln(0.5)/4.8 = k = -0.144
Then the equation is:
P(t) = 1*e^{-0.144*t}
Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:
P(t) = 0.6 = 1*e^{-0.144*t}
Again, we use the natural logarithm:
Ln(0.6) = Ln(e^{-0.144*t})
Ln(0.6) = -0.144*t
Ln(0.6)/-0.144 = t = 3.55
So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.
If you want to learn more, you can read:
https://brainly.com/question/19599469
30/80=e/40 what is the answer?
Answers
Answer:
15
Step-by-step explanation:
(REAL ANSWERS PLEASE)
х
у
4
-2
2
-1
0
o
-2
1
-4
2
Without graphing, what is the y-intercept of this function?
es )
A)
(0,0)
B)
(-2, 1)
(2, -1)
D
(4, -2)
Answers
Answer:
4 better explanation
Step-by-step explanation:
Answer:
C)
Step-by-step explanation:
(2,-1)
plsssss helpppppp i’ll give brainliest
Answers
Answer:
[tex]-6\leq x\leq 6[/tex]
Step-by-step explanation:
This is answer for the last question.
What is 60 percent of 92?
1.53
5.52
15.3
55.2
Answers
Answer:
[Fourth Option] 55.2
Step-by-step explanation:
60% -> 0.6
0.6 * 92 = 55.2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
(D) 55.2
Step-by-step explanation:
Can someone pls help me!!! I really need it pls :)
Answers
Answer:
Mean x¯ 8.3333333333333
Median x˜ 9
Mode 9
Step-by-step explanation: if 8.3 dosent work just round it
Solve for z.
57 = –10z +7
Answers
Answer:
z = -5
Step-by-step explanation:
Hi there!
We are given the equation 57 = -10z + 7, and we want to solve for z
In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.
So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:
57 = -10z + 7
-7 -7
_____________
50 = -10z
Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10
If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10
[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]
Divide, and cancel:
The zeros cancel out, leaving the equation as:
[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]
Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number
So 5/-1 will become -5, while -1z/-1 will become 1z, or z
Hence:
-5 = z, or written the other way: z = -5
We found z.
Hope this helps!
Tamara bought a $22 mailbox using a 10% off coupon David bought an identical mailbox for $19.95 at a different store
Which statement is true?
Answers
Answer:David bought an identical mailbox for $ 19.95 at a different store.
Step-by-step explanation:
David bought an identical mailbox for $ 19.95 at a different store. you can buy a same mailbox but for different prices you have 22 dollars you have a 110 percent off you dont have enough
What is the reciprocal of
5/6
Answers
Answer:
6/5
Step-by-step explanation:
someone help me i really need it!
NO BOTS
Answers
Answer:
11
Step-by-step explanation:
the first 2 before it splits to 30mins is 9 and 2 so the answer by addition is 11 hope this helps
e^(i.π)+2^(-2+3-1)+21899921030
Answers
Answer:
21899921030
Step-by-step explanation:
e^(i.π) = -1
2^(-2+3-1) = 2^0 = 1
Therefor
-1 + 1 + 21899921030 = 21899921030
what is the awnser to this question (w2x−3)÷10·z when w=−4, x = 0.8, and z=−45
k12
Answers
(-4x2x0.8-3)=-9.4
-9.4/10=-0.94
-0.94x-45=42.3
31,807 = 81 =
Remainder:
Answers
Answer:
Answer: (31807/81) ÷ 2 = 196.339506173
Step-by-step explanation:
Math answers to division of fraction 31807/81
31807 81 = 392.679012346
392.679012346 = 3926.79012346 to the nearest tenth
392.679012346 = 392.68 to the nearest hundredth
392.679012346 = 392.679 to the nearest thousandth
= 0 to the nearest tenth
= 0 to the nearest hundredth
= 0 to the nearest thousandth
Other Divisions Math homework are
31807 divide by half plus 20
Homework answers: (31807/2) + 20 = 15923.5
31807 divide by half plus 40
Homework answers: (31807/2) + 40 = 15943.5
31807/81 divided by 2
Answer: (31807/81) ÷ 2 = 196.339506173
A friend says that his grade on the test is 5 points lower than your grade. If your
grade is represented by x, how can you represent his grade? Should you use x - 5
-
or 5 - x?
renresent you
Answers
Answer:
x-5.
Step-by-step explanation:
If you did it the other way that would be like saying 5 minus your grade. That would be in the negatives unless you got a 5 or below on your grade. :)
Answer:
x-5
Step-by-step explanation:
The other way makes no sense saying 5 minus your grade I hope this helps and it's 5 less than your grade so your grade minus 5 ewuals your answer
The set of all numbers less than or equal to -1
Answers
Answer:
-10,-100,-8,-7,-2,-4,-5,-20,-6,-3,-7
name the following geometric figures in as many ways as you can.
•————•
X W
Answers
•————•
X W
This is called as line segment XW. The 2 dots at the ends indicate that the line segment has a starting point & an end point.
______
RainbowSalt2222 ☔
Write the equation of the line that passes through the point (-3, 1) and is perpendicular
3
to a line whose slope is 2
Answers
suppose you have $20 in your bank account. you start saving $5 each week. your friend has $5 in his account and is saving $10 each week. assume neither of you make any withdrawals.
Answers
Answer:
Question is missing
Step-by-step explanation:
Question missing
A box contains orange balls and green balls. The number of green balls is seven more than three times the number of orange balls. If there are 103 balls altogether, then how many green balls and how many orange balls are there in the box?
Answers
Answer:
Step-by-step explanation:
x = orange ball count
y = green ball count
y = 3x + 7
x + (3x + 7) = 103
4x = 96
x = 24 orange balls
y = 103 - 24 = 79 green balls
or
y = 3(24) + 7 = 79
Answer:
52 green, 15 orange!
Step-by-step explanation:
take reference from the following image:
Explain how you would use mental math to solve this
proportion.
Answers
You would use mental math by looking at the equation and thinking, “What is 1/75 times 1/2?” Since you want to find out what w is. Since this is mental math, you would know the answer directly, it is 1/150.
Meaning w = 1/150
henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet
Answers
This question is basically asking for the area of the tablecloth. Remember that A = l • w.
12 • 7 = 84
So, Henry will need to buy 84 ft^2 of fabric.
Which choice is equivalent to the product below?
V14.18
A. A
B. 28
C. 4/28
D. 16.17
SUBMIT
Answers
Answer: Choice A. [tex]4\sqrt{7}[/tex]
===================================================
Work Shown:
[tex]\sqrt{14}*\sqrt{8}\\\\\sqrt{(14)*(8)}\\\\\sqrt{(7*2)*(2*4)}\\\\\sqrt{7*(2*2)*4}\\\\\sqrt{7*4*4}\\\\\sqrt{4*4*7}\\\\\sqrt{4}*\sqrt{4}*\sqrt{7}\\\\2*2*\sqrt{7}\\\\4\sqrt{7}\\\\[/tex]
Which represents discrete data? Question 17 options: A) The price of hamburger meat per pound B) The volume of water in a swimming pool C) The number of pens in a package D) The speed of a train
Answers
Answer: C
Step-by-step explanation:
The Number Of pen in a package.
Answer:
B
Step-by-step explanation:
The number of pins in package
Please look the image attached
Answers
Answer:
I think it is c
Step-by-step explanation:
I might be wrong wait for a second answer if it is the same then I think I am right
addison had 560 blue marbles and 279 red marbes . How many fewer red marbles does she have then blue
Answers
Answer:
281
Step-by-step explanation:
9514 1404 393
Answer:
281
Step-by-step explanation:
The difference between the numbers of marbles is found by subtraction.
560 -279 = 281
Addison has 281 fewer red marbles than blue.
Paul received a bonus of $750, which was 5% of his annual salary. His annual salary is a. A$37,500 b. $25,000 c. $22,500 d. $15,000 e. $7,500
Answers
PLS ANSWER FAST!!
Write an equation of the line with a slope of 3 and a y-intercept of -7 .
Answers
Answer:
y = 3x - 7
Step-by-step explanation:
For an equation in the format y = ax + b, a is the slope and b is the y intercept.