Answer:
[tex]\frac{dy}{dx} = -\frac{b}{x^2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{b}{x}[/tex]
Required
Determine the first derivative
Rewrite the expression as:
[tex]y =\frac{b}{x}[/tex]
Apply law of indices
[tex]y =bx^{-1}[/tex]
An equation with the form
[tex]y = ax^n[/tex]
has the derivative:
[tex]\frac{dy}{dx} = nax^{n-1}[/tex]
So, the derivative of [tex]y =bx^{-1}[/tex] is
[tex]\frac{dy}{dx} = -1 * bx^{-1-1}[/tex]
[tex]\frac{dy}{dx} = -bx^{-2}[/tex]
[tex]\frac{dy}{dx} = -\frac{b}{x^2}[/tex]
i am a parent and needhelp with this 11 + 3(9 − 6) − 4
Answer:
i'm sure its 16
Step-by-step explanation:
A circle has a diameter of 50 meters. What is its circumference? Use 3.14 for .
A 50 m C 314 m
B 157 m D 625 m
Answer:
157 meters.
Step-by-step explanation:
Diameter (d) = 50 meters
circumference (C)
= π d
= 3.14 * 50
= 157 meters.
Answer:
157
Step-by-step explanation:
circumference of circle = 2 π r
= 2× 3.14×25 =157
can someone set this up and solve to find the missing angle measurements i swear they do to much wit math
Answer:
angle with a straight line has measure equal to 180°
Step-by-step explanation:
29°+112°+<z°=180°
141°+<z°=180°
group like terms
<z°=180°-141°
<°z=39°
Solve 136 = 17b.
The solution is b=
Answer:
18
Step-by-step explanation:
5d/9=10
5d=10*9
5d=90
d=90/5
d=18
Molly is training for a race and is running 4 miles each week for the next 12 weeks.If molly already ran 1 3/5 mile on the first day of the week,how many more miles does she need to run in order to reach her goal for this week?
Plz help
Answer:
2.4 miles or 2 2/5
Step-by-step explanation:
All the explanation is in the picture!
Hope this helps!
-TheAnimeCatUwU
#LearnWithBrainly
Plz guys help me plz
Answer:
25$
Step-by-step explanation:
pattern of y increases by 4
2.3.33
Find the zeros of the following quadratic function by completing the square. What are the x-intercepts of the graph of the function?
f(x) = x2 + 12x - 72
An initial investment of $1,000 at 12% interest is compounded weekly (use 52
weeks in a year), What will the investment be worth in 30 years?
Round your answer to the nearest cent.
Using compound interest, it is found that the investment will be worth $36,466.76 in 30 years.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.The parameters are given as follows:
P = 12, r = 0.12, n = 52, t = 30.
Hence the amount is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(30) = 1000\left(1 + \frac{0.12}{52}\right)^{52 \times 30}[/tex]
A(30) = $36,466.76
More can be learned about compound interest at https://brainly.com/question/25781328
#SPJ1
Answer:36,446.76
Step-by-step explanation:
From the question we can see our given values are P=1,000, r=0.12, n=52, and t=30. Plugging this into our compound interest formula will give us our solution.
A(t)A(30)=P(1+rn)nt=1,000(1+0.1252)52⋅30≈36,446.76
I need help with this problem answers is right there but show me how to get that answer
IM SO DESPERATE HELP NOW I CANNOT FAIL
Answer:
Answer
Step-by-step explanation:
Cuz why not
(sorry, the pictures don't open)
A carpet salesman sold 5,000 yards of carpet in one month at an average of $3 per yard. His commission was 16%. How much money did he make that month?
Answer:
5000x3.00= total sales 15000 x 16% or.16
= 2400
Step-by-step explanation:
1.Find Gross Sales
2. Get retail sales 3.00 x 5000
3. Total Sales times commission 15000 x .16
sir sir....
hmm
get me that fish
but sir its an endangered species
get me that fish
What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)
Given:
The point [tex]P\left(\dfrac{3}{4},\dfrac{5}{12}\right)[/tex] divides the line segment joining points [tex]A\left(\dfrac{1}{2},\dfrac{3}{2}\right)[/tex] and [tex]B(2,-5)[/tex].
To find:
The ratio in which he point P divides the segment AB.
Solution:
Section formula: If a point divides a segment in m:n, then the coordinates of that point are,
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Let point P divides the segment AB in m:n. Then by using the section formula, we get
[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)[/tex]
[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}[/tex]
[tex]\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}[/tex]
Multiply both sides by 4.
[tex]3(m+n)=2(4m+n)[/tex]
[tex]3m+3n=8m+2n[/tex]
[tex]3n-2n=8m-3m[/tex]
[tex]n=5m[/tex]
It can be written as
[tex]\dfrac{1}{5}=\dfrac{m}{n}[/tex]
[tex]1:5=m:n[/tex]
Therefore, the point P divides the line segment AB in 1:5.
Hi! Pls help me with this question:
Answer:
PR=8
ST=5
Step-by-step explanation:
2x=8
x=4
PR=2x=8
5z=2z+3
3z=3
z=1
ST=5z=5
Greg saved $6000 in his bank account. His account interest rate is 2.5%. What will be the amount of interest earned after 5 years?
Answer:
$6750...............
SI = P*R*T/100
SI = 6000*2.5*5/100
SI= $750
amount= P+SI
Amount= 6000+750
Amount= $6750
I am not understanding this topic in math and I have a huge test tomorrow, I forgot about this assignment and I would really appreciate it if someone could help me out with this!!! ❤️
Find the coordinates of the point that is located 8 units below the x-axis and 3 units to the left of the y-axis
The polynomial 4x2 - 16 is a difference of squares.
True
False
One of the oldest elephants on record lived for 130 yr. How many minutes is this? (use: 1 yr = 365 d)
Answer:
68,328,000
Step-by-step explanation:
take the minutes by the hours then by the amount of days in a year then by the amount of years and multiply it all
If x= 3, what is the value of 4x2 - 7?
Answer:
D:29
Step-by-step explanation:
4(3) ^2 - 7 =
6^2 -7 =
36 - 7 = 29
hope this helped!
(^3squareroot5)^4
ILL NAME U AS BRAINLIEST!!
a) 5^3/4
b) 5^4/3
c) -5^1/4
d) 5^-1/4
7,1,9,14 what is the average age servers at the zoo? What is the variance
What number is 36% of 50
Answer:
72
Step-by-step explanation:
36:50*100 =
( 36*100):50 =
3600:50 = 72
Answer:
18
Step-by-step explanation:
Turn the percentage into a decimal and multiply.
36% = 0.36
50 * 0.36 = 18
Best of Luck!
In 1989 the population of Arizona was 3,622,184. In 1999 the population was 4,778,332. What is the percent of change from 1989 to 1999?
Dracula is taking a typing speed test. The number of words typed W, is determined by the equation W = 23m, where mis minutes. What is the constant of proportionality?
If LM = 6, what is the perimeter of △PKQ?
Answer:
KM=LN Given
KM=KL+LM Segment Addition Postulate
LN=LM+MN Segment Addition Postulate
KL+LM=LM+MN Substitution Property of Equality
KL=MN Subtraction Property of Equality this is the formula :)
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
3/(3+x-6)=5/(5+x)
cross multiply
3(5+x)=5(3+x-6)
15+3x=15+5x-30
15+3x=5x-15
15+15=5x-3x
30=2x
x=15
That means KQ=15 and PK=15-6=9. Now we have to find PQ, which is the same as JM. We’ll call that length b.
5/15=6/b
cross multiply
5b=90
b=18
15+9+18=42
. In a group of 37 people waiting in line at the local java house, 18 wanted to order a cappuccino, 20 wanted to
order a latte, and 2 wanted neither of these drinks. How many wanted to order both a cappuccino and a latte?
Answer:
36
Step-by-step explanation:
Its 36 because normally someone would do 18+20=38 but you have to remeber in the problem it says 37! so 2 people didn't want anything, minus that and you get 36.
Find the missing length for #11. Please help!
Answer:
x=16
Step-by-step explanation:
so you know that the other side of the right traingle is 15
so x2+18x+81=225+144+x2
18x=288
x=16
HELP PLESE WILL GIVE BRAINLIST
Answer:
shed height = 12 feet
shed width = 28 feet
Step-by-step explanation:
3/4"=3' then 1"=4'
3" tall=4x3"=12'
7" wide=4x7"= 28'
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
x = 70
Step-by-step explanation:
As the problem states, ∠ABD and ∠DBC are supplementary angles. This means they have a sum of 180°. Since we know this, we can set up an equation to solve for x.
x + 110 = 180
x = 70