Answer:
[tex]\frac{dA}{dt} = 2\pi r(\frac{dr}{dt})[/tex]
Step-by-step explanation:
Your solution is correct (See explanation):
Area (A) of a circle is
[tex]A = \pi r^2[/tex]
Where
[tex]r = radius[/tex]
Differentiate both sides with respect to t
[tex]\frac{dA}{dt} = 2\pi r(\frac{dr}{dt})[/tex]
This is so because, we have to differentiate A on the left hand side and r on the right hand side because [tex]2\pi[/tex] is a constant
Hence, your solution is correct and and
[tex]\frac{dA}{dt} = 2\pi r(\frac{dr}{dt})[/tex]
A barrel contained 70 gallons of water. Water leaked out of the barrel at a rate of 5 gallons every 3 days.
At this rate, how many days did it take for all 70 gallons of water to leak out of the barrel?
Answer:
42 days
Step-by-step explanation:
Given
[tex]Gallons = 70[/tex]
Leakage = 5 gallons in 3 days
Required
Determine the number of days it finish leaking out
The scenario can be represented as:
5 gallons = 3 days
and
70 gallons = x
Where x represents the number of days to leak out 70 gallons
Cross Multiply:
[tex]5 * x = 3 * 70[/tex]
[tex]5 x = 210[/tex]
Divide both sides by 5
[tex]x = \frac{210}{5}[/tex]
[tex]x = 42[/tex]
Hence, it'll take 42 days
Two-thirds of the sum of three times a number and six is ten what is the number ?
Answer:
X=3
Step-by-step explanation:
2/3*(3x+6)=10
2x+4=10
X=6/2
x=3
Solve (x-5)^2- 45 = 0, where x is a real number
Answer:
Step-by-step explanation: the answer is x= 3[tex]\sqrt{5}[/tex] +5, -3 [tex]\sqrt{5}[/tex] +5
Find the lengths of HJ
Answer:
What's HJ? Never heard of it
51. التي سجل 16 لاعبا للاشتراك في دروس التنس. ويخطط المدرب لاستخدام 50 كرة تنس لكل لاعب وامتلاك
200 إضافية كك عدد كرات التنس اللازمة للدروس
Answer:
no islamic state propaganda in my country
Step-by-step explanation:
his that
The Prime Minister enforced
stated no one
could be out in public after 9:00 p.m.
yes is because of riots?
ayo who is wiining the election now?
Answer:
Joe Biden
Step-by-step explanation:
Solve for x by answering the number below/
Answer:
The value of x is 5.
Step-by-step explanation:
In a square, all sides are equal so you can compare the expressions to solve x :
[tex]4x - 2 = 2x + 8[/tex]
[tex]4x - 2x = 8 + 2[/tex]
[tex]2x = 10[/tex]
[tex]x = 5[/tex]
I just need help filling in the rest of this table. I've done some, but I've been stuck for a while now. Huge thanks to anyone who can help!
Answer:
i think 20 is above 12 and 17 under 30 and 36 is on top of 20 the rule is .50(x) +2
Answer:
Step-by-step explanation:
c = 0.5t + 2
12 = 0.5t + 2 ⇒ 0.5t = 10 ⇒ t = 20
c = 0.5(30) + 2 ⇒ c = 17
20 = 0.5t + 2 ⇒ 0.5t = 18 ⇒ t = 36
PLEAS4EE!!
180°- 125° 15'=
Answer:
180.25°
Step-by-step explanation:
AND DANG U SO CUTE!!!!
this as a decimali if you respond for first you will have
the brainlest answer
Answer:
8.525
Step-by-step explanation:
please help. i give brainliest ti correct answer
12 out of 15 students play in the school band. In a class of 45 students, how many do NOT play in the band? HELP!
Answer:
9 students
Step-by-step explanation:
because 15x 3 = 45 so 12x3= 36 so 45-36= 9 Can i be branliest
CAN YOU HELP ME WITH MY TESTT PLEASEE!!
Answer:
$0.44 per lb.
Step-by-step explanation:
Divide the total cost of the dog food ($10.56) by the 24 pounds to get cost per pound.
$10.56 ÷ 24 = $0.44 per lb.
Answer:
0.44 per pound
Step-by-step explanation:
10.56 divided by 24
PLSSS HELP ME! WILL GIVE BRAINLIEST WHEN I CAN
Answer:
first one: 5/8
second one; 1/2
third one 2/7
fourth one 3/14
fifth one 1/11
I hope this is good enough:
0.06/ 0.5334 Find the quotient
Answer:
the answer is 0.11248593
Step-by-step explanation:
Explain radical form. Discuss why it is more accurate than decimal approximation.
Answer:
3/45-8=12
Step-by-step explanation:
Answer:
It's more accurate because
Step-by-step explanation:
Expressing in the simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
In 1997, the American Diabetes Association (ADA) and the federal government lowered the standard for diagnosing diabetes from a fasting blood glucose level of 140 mg/dL to 126 mg/dL.7. What is the proportion of people who are considered have diabetes and they were not considered have diabetes before 1997
Answer:
10 percent
Step-by-step explanation:
- Before 1997, people with a minimum FBGL of 140mg/dl were diagnosed as diabetic
- After 1997, people with a minimum FBGL of 126mg/dl were diagnosed as diabetic
- What is the proportion of people who were not considered diabetic before 1997 but are now considered diabetic (after 1997)?
140 - 126 = 14
In percentage, this proportion is = 14/140 × 100
= 10%
Hence, 10% of the people who were not considered diabetic before 1997 are now or will now be considered diabetic.
I’ll give you a brainliest if you have these answers in 3 minutes —Find the slope and the y-intercept from the equation of this line:
Y=2x-3
-3x+2y=6
Answer:
1. the slope is 2 and the Y intercept is 3
2. the slope is 3 and the Y intercept is 2
Step-by-step explanation:
53. Pem was given a coin on Monday. Then she was given two coins every day for a long time
Which day did she get her 17th coin?
A. Tuesday
B. Wednesday
C. Sunday
D. Monday
A bag contains 9 red marbles and 7 yellow marbles. You randomly select three marbles from the bag.
What is the probability that all three marbles are red when you replace each marble before selecting the next marble
Answer:
9 out of 16 chances three red marbles are gonna come out
Margie walked 3.75 miles on Tuesday morning. On Wednesday morning, she walked 1.2 times as far as she did on Tuesday. How far did she walk on Wednesday?
Find f (x )if f apostrophe apostrophe (x )equals x to the power of negative 2 end exponent comma space x greater than 0 comma space f (1 )equals 0 and f (2 )equals 0.
Step-by-step explanation:
Given [tex]g'(x) = g^{-2}, x> 0\ g(1) = 0 \ and \ g(2) = 0[/tex]
To get g(x), we will have to integrate g'(x)
[tex]g(x) = \int\limits {x^{-2}} \, dx\\ g(x) = \frac{x^{-2+1}}{-2+1} + C\\ g(x) = -x^{-1} + C\\g(x) = -x^{-1} + C\\[/tex]
If g(1) = 0, this means at x = 1, g(x) = 0
0 = -1⁻¹ + C
C= 1
Substitute C = 1 into the function
g(x) = -x⁻¹ + 1
If g(2) = 0, this means at x = 2, g(x) = 0
0 = -2⁻¹ + C
C= 2⁻¹
C = 1/2
Substitute C = 2 into the function
g(x) = -x⁻¹ + 1/2
Leo bought 18 boxes of cereal. This is 25% of the boxes at the store. How many total boxes of cereal were at the store?
What is the solve for r 9 = -3 -Зr?
Answer:
Hello the answer is - 4
Step-by-step explanation:
[tex]9 = - 3 - 3r \\ 9 + 3 = - 3r \\ - 3r = 12 \\ r = \frac{12}{ - 3} = - 4[/tex]
Answer:
-4
Step-by-step explanation:
-3r-3=9
9+3=-3r
12=-3r
12/-3=-3/-3r
-4=r
Need help on this one also
Answer:
its always C trush me
Step-by-step explanation:
Answer: a
Step-by-step explanation:
Which expression is equivalent to RootIndex 3 StartRoot 256 x Superscript 10 Baseline y Superscript 7 Baseline EndRoot? 4 x squared y (RootIndex 3 StartRoot x squared y cubed EndRoot) 4 x cubed y squared (RootIndex 3 StartRoot 4 x y EndRoot) 16 x cubed y squared (RootIndex 3 StartRoot x y EndRoot) 16 x Superscript 5 Baseline y cubed (RootIndex 3 StartRoot y EndRoot)
Answer:
B
Step-by-step explanation:
edg 2021
Answer: b
Step-by-step explanation:
help meee please and thank you
Answer
1
Step-by-step explanation:
anything times one equals the number multiplied by one
Hope this helps :)
Answer:
2x1=2, -2x1= -2, 2x0.5=1, -2x (-0.5)=1
HOPEFULLY THIS HELPS :3
Find all solutions to the system
5x − 3y = 2,
15x + 6y = 6.
Answer:
The answer I got was: (0.4,0)
Denominator of the fraction
2/5.
Denominator of the fraction 13/16.
This is a 20 point question must answer both plzzz plus Brainly
Answer:
Denominator for 2/5 is 5, and denominator for 13/16 is 16.