Solve the initial value problem yy′+x = sqrt(x^2+y^2) with y(5)=-sqrt(24).
To solve this, we should use the substitution
=
′=
Enter derivatives using prime notation (e.g., you would enter y′ for dydx).
After the substitution from the previous part, we obtain the following linear differential equation in x,u,u′.
The solution to the original initial value problem is described by the following equation in x,y.
Answers
The solution to the initial value problem is given by (√(1 + (y/x)²) - 1) ln|x| + 2x + C₂ = ln|√(1 + (y/x)²) - 1| + C₁, where C₁ and C₂ are constants.
To solve the initial value problem yy′ + x = √(x² + y²) with y(5) = -√24, we will use the substitution u = x² + y².
First, let's find the derivative of u with respect to x:
du/dx = d/dx (x² + y²) = 2x + 2yy'
Now, let's rewrite the original differential equation in terms of u and its derivative:
yy' + x = √(x² + y²)
y(dy/dx) + x = √u
y(dy/dx) = √u - x
Substituting u = x² + y² and du/dx = 2x + 2yy', we have:
y(dy/dx) = √(x² + y²) - x
y(dy/dx) = √u - x
y(dy/dx) = √(x² + y²) - x
y(du/dx - 2x) = √u - x
Next, let's solve this linear differential equation for y(dy/dx):
y(dy/dx) - 2xy = √u - x
(dy/dx - 2x/y)y = √u - x
dy/dx - 2x/y = (√u - x)/y
dy/dx - 2x/y = (√(x² + y²) - x)/y
Now, we introduce a new variable v = y/x, and rewrite the equation in terms of v:
dy/dx - 2x/y = (√(x² + y²) - x)/y
dy/dx - 2/x = (√(1 + v²) - 1)/v
Let's solve this separable differential equation for v:
dy/dx - 2/x = (√(1 + v²) - 1)/v
v(dy/dx) - 2 = (√(1 + v²) - 1)/x
v(dy/dx) = (√(1 + v²) - 1)/x + 2
(dy/dx) = [((√(1 + v²) - 1)/x) + 2]/v
Now, we can solve this equation by separating variables:
v/(√(1 + v²) - 1) dv = [((√(1 + v²) - 1)/x) + 2] dx
Integrating both sides:
∫[v/(√(1 + v²) - 1)] dv = ∫[((√(1 + v²) - 1)/x) + 2] dx
Let's evaluate the integrals to find the solution to the differential equation.
∫[v/(√(1 + v²) - 1)] dv:
To simplify this integral, we can use the substitution u = √(1 + v²) - 1. Then, du = (v/√(1 + v²)) dv.
∫[v/(√(1 + v²) - 1)] dv = ∫[1/u] du
= ln|u| + C
= ln|√(1 + v²) - 1| + C₁
Now, let's evaluate the second integral:
∫[((√(1 + v²) - 1)/x) + 2] dx:
∫[((√(1 + v²) - 1)/x) + 2] dx = ∫[(√(1 + v²) - 1)/x] dx + ∫2 dx
= ∫(√(1 + v²) - 1) d(ln|x|) + 2x + C₂
= (√(1 + v²) - 1) ln|x| + 2x + C₂
Therefore, the solution to the differential equation is:
(√(1 + v²) - 1) ln|x| + 2x + C₂ = ln|√(1 + v²) - 1| + C₁
Substituting back v = y/x:
(√(1 + (y/x)²) - 1) ln|x| + 2x + C₂ = ln|√(1 + (y/x)²) - 1| + C₁
This is the equation describing the solution to the initial value problem yy' + x = √(x² + y²) with y(5) = -√24.
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Related Questions
You and your family went to Texas Roadhouse for dinner. Your check was $89.25. If you left the waitstaff 20%, how much was your total bill?
Answers
Answer:
the answer is 107.4
More info
20 percent off
You will pay $71.4 for a item with original price of $89.25 when discounted 20%. In this example, if you buy an item at $89.25 with 20% discount, you will pay 89.25 - 17.85 = 71.4 dollars.
brainliest pls
Step-by-step explanation:
In statistical process control, when a point falls outside of control limits, the probability is quite high that the process is experiencing _____________ .
A. common cause variation
B. student t variation
C. a reduction of variables
D. special cause variation
Answers
When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.
In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.
On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.
When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.
Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.
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PLEASE PLEASE HELP I REALLY NEED IT
QUESTION 2
Answers
Explanation:
You would do 12/7 and then multiply that answer by 30.
The prosecutor claims: "There is a 1% chance that the defendant would have the crime blood type if he were innocent. Thus, there is 99% chance that he is guilty." This is known as prosecutor’s fallacy. What is wrong with this argument?
Answers
The prosecutor claims that there is a 1% chance that the defendant would have the crime blood type if he were innocent, and thus, there is a 99% chance that he is guilty.
This is a fallacy known as the prosecutor's fallacy.The prosecutor's fallacy is an error in statistical reasoning that occurs when the probability of an event occurring given a particular hypothesis is incorrectly equated with the probability of the hypothesis given the event.
It is a common mistake in legal proceedings and forensic science.According to the prosecutor's argument, the probability of the defendant being innocent given the blood evidence is only 1%, while the probability of him being guilty is 99%. This argument is invalid because it equates the conditional probability of the hypothesis (the defendant being innocent or guilty) given the evidence with the inverse probability of the evidence given the hypothesis.
In other words, the prosecutor has taken the likelihood of observing the blood evidence given that the defendant is innocent and used it as evidence that the defendant is guilty. This is a logical fallacy, as it fails to take into account other factors that could account for the presence of the blood evidence and ignores the possibility that the defendant may be innocent. Therefore, the prosecutor's argument is wrong, and his conclusion that the defendant is guilty cannot be justified by the evidence.
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When using substitution to solve this system of equations
6y + 2x = 3
2x + y = 8
which variable will you solve for?
Answers
X = 4.5
Y = -1
3a+2b=9 and 8x+6y=60
what is the value of 9a+6b
what is the value of 4x+3y
Answers
Answer:
The Value of 9a+6b is 27. and the value of 4x+3y is 30.
Explanation
1)
3a+2b=9
multiplying both by side by 3
or, 3×( 3a+2b)=3×9
Hence, 9a+6b=27
2)
8x+6y=60
Dividing both by side by 2
or, (8x+6y)/2 = 60/2
Hence, 4x+3y=30
What is the slope of the line passing through the points (0, 4) and (6, 13)
Answers
Answer:
The slope is \(\frac{3}{2}\)
Step-by-step explanation:
Hi there!
We are given the points (0, 4) and (6, 13)
We want to find the slope of the line containing these two points
Slope (m) is the steepness of the line. When calculating from two points, you use the equation \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points
Although we have what we need to find the slope, let's label the values of the points to avoid confusion and mistakes.
\(x_1=0\\y_1=4\\x_2=6\\y_2=13\)
Substitute these values into the equation
m=\(\frac{y_2-y_1}{x_2-x_1}\)
m=\(\frac{13-4}{6-0}\)
Subtract
m=\(\frac{9}{6}\)
Simplify
m=\(\frac{3}{2}\)
The slope of the line is 3/2
Hope this helps!
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CAN SOMEONE PLS HELP ME WITH THIS. YOU'LL EARN 50 POINTS!!!
Answers
Answer: W gives the weight of a puppy, in pounds, as a
function of its age, t, in months.
Step-by-step explanation:
Answer:
It A w(2)=5
Step-by-step explanation:
You see
Two machines in a car parts factory mold different parts that will eventually be put together in an assembly plant. the first machine makes a part every 12 seconds, and the second machine makes a part every 45 seconds. the quality control engineer tests these parts each time they both come out of the machines at the same time. how often does she test the parts? show your work and express your answer in minutes.
Answers
The quality control engineer will test the parts every 3 minutes.
To determine how often the quality control engineer tests the parts, we need to find the least common multiple (LCM) of the time it takes for the first machine to make a part and the time it takes for the second machine to make a part.
The first machine makes a part every 12 seconds, while the second machine makes a part every 45 seconds.
To find the LCM, we can list the multiples of each number and look for the smallest number that appears in both lists:
Multiples of 12: 12, 24, 36, 48, 60, 72, ...
Multiples of 45: 45, 90, 135, 180, 225, 270, ...
From the lists above, we can see that the smallest number that appears in both lists is 180.
Therefore, the quality control engineer will test the parts every 180 seconds.
To express the answer in minutes, we can convert 180 seconds to minutes:
180 seconds ÷ 60 = 3 minutes
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Consider a multiple channel line with 5 cashiers. The customer arrival rate, $\lambda$, is $85.5 /$ hour, and the service rate, $\mu$, is $19 /$ hour. Determine the average waiting time in minutes. (Round your answer to TWO places of decimal) \#5.
Answers
The average waiting time in minutes is approximately 0.317 minutes.
To determine the average waiting time in minutes, we can use the queuing theory formula for average waiting time in an\($\mathrm{M} / \mathrm{M} / \mathrm{c}$\) queue:
\($$W_q=\frac{\rho^{c+1}}{c ! \cdot(1-\rho)} \cdot \frac{1}{\mu-\lambda}$$\)
Where:
\($W_q$\) is the average waiting time in the queue.
\($\rho$\) is the traffic intensity, given by $\frac{\lambda}{c \cdot \mu}$.
\($c$\) is the number of service channels (cashiers).
\($\mu$\) is the service rate (customers per hour).
\($\lambda$\) is the arrival rate (customers per hour).
Given:
\($\lambda=85.5$\)customers per hour.
\($\mu=19$\) customers per hour.
\($c=5$\) cashiers.
First, let's calculate $\rho$ :
\($$\rho=\frac{\lambda}{c \mu}=\frac{85.5}{5 \cdot 19} \approx 0.9011$$\)
Now, let's calculate \($W_q$\) :
\($$W_q=\frac{\rho^{c+1}}{c ! \cdot(1-\rho)} \cdot \frac{1}{\mu-\lambda}\\=\frac{0.9011^{5+1}}{5 ! \cdot(1-0.9011)} \cdot \frac{1}{19-85.5} \\\approx 0.317 \text { (rounded to two decimal places) }$$\)
Therefore,the average waiting time in minutes is approximately 0.317 minutes.
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This question is from my final exam review:
Let n be a randomly selected integer from 1 to 15. Find P(n < 10 | n is prime). Round to the nearest hundredth and put your answer as a DECIMAL. So, if your answer is 37%, then put .37 in the answer box.
Answers
The probability P(n < 10 | n is prime) is 4/6, which simplifies to 2/3 or approximately 0.67 (rounded to the nearest hundredth).
To find the probability P(n < 10 | n is prime), we need to determine the number of prime integers less than 10 and divide it by the total number of integers from 1 to 15 that are prime.
The prime numbers less than 10 are 2, 3, 5, and 7. So, there are 4 prime numbers less than 10.
The total number of integers from 1 to 15 that are prime is 6 (2, 3, 5, 7, 11, and 13).
As a result, the chance P(n 10 | n is prime) is 4/6, which can be expressed as 2/3 or, rounded to the nearest hundredth, as around 0.67.
Thus, 0.67 is the answer.
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PLEASE HELP.
The circumference of a circle is 9.29cm.
Find the length of the diameter.
Give your answer rounded to 2 DP.
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 2.9570988426474, you can do the rounding.
Explanation:
C/ Pie is how to get the diameter
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
x - 2 ⪯ 5 solve plz..
Answers
Answer:
x ⪯ 7
Step-by-step explanation:
5 + 2 = 7
I need help with this word it’s math vocabulary I have been trying forever to see how to unscramble it and idk pls help ASAP
Answers
Answer:
hi is it null set? :))
Step-by-step explanation:
this thing : { }
Answer:
All I can think of is null set
Hi can someone plss help me checking my essay? (don't just say it is good ) I just wanted to know if it flows good and if Im giving a good explanation. (which I put 2 images of the question and the topic) (If there is something wrong or if I need to add please tell me!)
Answers
First off, why is this in the mathematics section lol. Anyways, the essay looks good, but you can remove some unnecessary information. The reader doesn't need to know that the author is 14. Knowing the age of an author won't help support your argument.
Also, you say, "For example during the pandemic situation there were some quick changes to it like the vaccines being made...".
I would say instead, "During the pandemic, there were some rapid changes that took place to correct the pandemic like the vaccines being made...". Other than that, the essay looks good!
An isosceles triangle has base angles that each measure 23 degrees. Which equation can be used to find x, the measure of third angle of this isosceles triangle in degrees?
Answers
Answer:
since a triangle measures up to 180 degrees getting the value of x will be all angles added together equals to 180.
(base angles) + x = 180°
46° + x = 180°
this is what I think good luck
The measure of third angle of this isosceles triangle is 134 degrees.
What is Angle Sum Property?According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.
S = (n-2)*180° is the angle sum property formula for any polygon, where 'n' represents the number of sides in the polygon.
Given:
Two Base angles is 23 degree.
and third angle is x.
Using Angle Sum property
x + 23+ 23 =180
x +46 =180
x= 180- 46
x= 134
Hence, the third angle is 134 degree.
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how many hours would the student in part (a) need to study to have a 50 % chance of getting an a in the class?
Answers
Every student is unique and different from each other so its not possible to to provide an accurate estimate of the number of study hours a student would need to have a 50% chance of obtaining an A in the class.
To determine the number of hours a student needs to study to have a 50% chance of getting an A in the class, we require more information about the context and the factors influencing the student's grade.
The number of hours needed to achieve a desired grade depends on various factors, including the student's current level of understanding, the difficulty of the course material, their study habits, and the grading criteria of the class.
In general, to estimate the number of hours needed, it would be helpful to consider historical data or consult with the instructor or academic resources to understand the average study time required to achieve an A in the class.
Without specific information regarding the aforementioned factors, it is not possible to provide an accurate estimate of the number of hours a student would need to study to have a 50% chance of obtaining an A in the class.
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Find the equation of the line that has a slope
of -5 and passes through the point (-4, 2)
.Write the equation in point-slope form.
Answers
Answer:
y = -5x - 18
Step-by-step explanation:
you have your slope, just set x equal to -4 and your y to 2
2 = -5(-4) + b
2 = 20 + b
-18 = b
Use the function to find the missing value
f(x)=2/3x+2
f=(6)
Answers
Answer:
the answer to that is 2/20 or for the simplest form 1/10
f(x) = cos(x - 90°)
Which is the value of f(0°)?
A 1
B 0
C-1
1
2
Answers
f(x)= cos(x-90) = -cos(90-x)
(If you know how to, draw the CAST chart)
-cos(90-x)= -sin(x)
Sub. x=0, -sin(0)= 0
I
need the details why we choose answer c
109) Use the following random numbers to simulation crop yield for 10 years: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81. What is the estimated crop yield from the simulation? A) 425 B) 442 C) 440 D) 475 A
Answers
The estimated crop yield from the simulation is 443 (option b).
To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.
Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81
To find the estimated crop yield, we sum up all the random numbers:
37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443
Therefore, the estimated crop yield from the simulation is 443. The correct option is b.
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Solve for y in the two equations below using substitution.
3x - 9y =8
-2x + 2y= 8
Answers
Using the substitution method we know that the value of y in the given situation is 2 respectively.
What is the substitution method?The substitution method is typically used in mathematics to solve an equation system.
In this approach, you solve the equation for one variable first, then you enter its value into the other equation.
A false statement is produced if the variables x = 3 and y = 2 are substituted into the first equation: 2(2) = 3 + 9.
Try changing the first equation as x = 2y 8 to solve this system.
Next, change x in the second equation to 2y 8, and then solve for y.
The right response is x = 2, y = 3.
So, get the value of y as follows:
3x - 9y =8 ...(1)
-2x + 2y= 8 ...(2)
Now, take equation (1):
3x - 9y =8
3x = 8 + 9y
x = (8 + 9y)/3
Now, substitute x = (8 + 9y)/3 in equation (2):
-2x + 2y= 8
-2[(8 + 9y)/3] + 2y= 8
-2[(8 + 9y)] + 2y= 8*3
-16 + 18y + 2y = 24
20y = 24 + 16
20y = 40
y = 40/20
y = 2
Therefore, using the substitution method we know that the value of y in the given situation is 2 respectively.
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You buy a football helment signed by Peyton Manning for $110. The value increases 4% each year. What will the value be after 3 years? Round to 2 decimal places.
Answers
Answer:
12.12
Step-by-step explanation:
4% of 110 = 4.4
4.4 x 3 = 12.12
pleaseeee help
Marisa saved $3000 to take a bike trip from Florida to California. She estimated her expenses to be $40 per day. The cost of a ticket to fly back is $240. The inequality below can be used to find the maximum number of days (d) for which Marisa can pay the expenses on the bike trip.
Which inequality expresses the maximum number of days Marisa can pay the expenses for her bike trip?
d < 40
d < 81
d < 69
d < 75
Answers
Answer:
d≤69
Step-by-step explanation:
write the expanded form of the expression
4(3x-5)
4 (3x-5)=
Answers
One technique to write numbers such that you can see the mathematical significance of each individual digit is in expanded form or expanded notation. So the expanded form of (3x-5)³ is 27x³-135x²+225x-125.
How do you write in a more detailed format?One technique to write numbers such that you can see the mathematical significance of each individual digit is in expanded form or expanded notation.
It is also possible to create a mathematical expression using integers that have been divided into distinct place values and decimal places.
5,000 + 300 + 20 + 5 = 5,325 is the expanded notation for the number.
Expanded form of the given expression.
1) We can expand the given term by the direct formula of the algebra
(A-B)³ = A³-B³-3AB(A-B)2)
We have (3x-5)³on comparing with the formula:
A = 3x
B = 5
(3x-5)³
(3x)³-5³-3×3x×5(3x-5)
27x³-125-45x(3x-5) 27x³-125-135x²+225x
So the expanded form of (3x-5)³ is 27x³-135x²+225x-125.
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Question 7 of 10
What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 342 – 7?
Answers
Answer:
g(x) = –3(x + 6)2 + 48.
Step-by-step explanation:
The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.
Answer:
Answer for this equation: h(x) = 3x2 - 7?
The graph of f(x) is vertically stretched by a factor of 3 and shifted
7 units down.
Step-by-step explanation:
Ap3x Confirmed
find the area of the surface generated by revolving the given curve about the -axis. =36−2‾‾‾‾‾‾‾√,−4≤≤4
Answers
The surface area is approximately 161.47 square units.
To find the surface area generated by revolving the curve about the x-axis, we can use the formula:
S = 2π∫[a,b] f(x)√(1+[f'(x)]^2) dx
where f(x) is the given curve.
Here, f(x) = 36 - 2√(x^2+1) and we need to revolve it about the x-axis.
To find the limits of integration, we note that the curve is symmetric about the y-axis and therefore we can find the surface area of one half of the curve and multiply it by 2. So, we need to integrate from 0 to 4.
S = 2π∫[0,4] (36 - 2√(x^2+1))√(1+((x(-2x))/((x^2+1)^2))) dx
S = 2π∫[0,4] (36 - 2√(x^2+1))√((x^4+4x^2+1)/(x^4+1)^2) dx
Simplifying the integrand,
S = 2π∫[0,4] (36(x^4+1) - 2(x^2+1))√((x^4+4x^2+1)/(x^4+1)^2) dx
S = 2π∫[0,4] (36x^4-70x^2+34)√((x^4+4x^2+1)/(x^4+1)^2) dx
This integral is difficult to evaluate analytically, but it can be approximated using numerical integration techniques. Using a calculator or software, we find that the surface area is approximately 161.47 square units.
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A red and a blue die are thrown. Both dice are fair (that is, all sides are equally likely). The events A, B, and C are defined as follows: A: The sum of the numbers on the two dice is at least 10. B: The sum of the numbers on the two dice is odd. C: The number on the blue die is 5. a. (9 pt.) Calculate the probability of each individual event; that is, calculate p(A), P(B), and p(C). b. (4 pt.) What is p(A|B)? c. (4 pt.) What is p(B|C)? d. (4 pt.) What is p(A|C)? e. (4 pt.) Consider all pairs of events: A and B, B and C, and A and C. Which pairs of events are independent and which pairs of events are not independent? Justify your answer.
Answers
a. P(A) = 1/12, P(B) = 1/3, P(C) = 1/6 based on counting outcomes.
b. P(A|B) = 1/12, calculated using the definition of conditional probability.
c. P(B|C) = 1/3, calculated using the definition of conditional probability.
d. P(A|C) = 1/6, calculated using the definition of conditional probability.
e. A and B are not independent, B and C are not independent, A and C are independent based on the observations and calculations.
a. We have:
P(A): The only ways to get a sum of at least 10 are (4,6), (5,5), (6,4). Each of these outcomes has probability 1/36. So, P(A) = 3/36 = 1/12.
P(B): The only ways to get an odd sum are (1,2), (1,4), (1,6), (3,2), (3,4), (3,6), (5,2), (5,4), (5,6), (6,1), (6,3), (6,5). Each of these outcomes has probability 1/36. So, P(B) = 12/36 = 1/3.
P(C): The blue die has a probability of 1/6 of landing on 5, regardless of what the red die shows. So, P(C) = 1/6.
b. We have:
P(A|B) = P(A and B) / P(B)
To find P(A and B), we need to count the number of outcomes that satisfy both A and B. There are 6 outcomes that satisfy B: (1,2), (1,4), (1,6), (3,2), (3,4), and (5,4). Out of these, only (5,4) satisfies A as well. So, P(A and B) = 1/36.
Therefore, P(A|B) = (1/36) / (1/3) = 1/12.
c. We have:
P(B|C) = P(B and C) / P(C)
To find P(B and C), we need to count the number of outcomes that satisfy both B and C. There are only two such outcomes: (1,4) and (3,2). So, P(B and C) = 2/36 = 1/18.
Therefore, P(B|C) = (1/18) / (1/6) = 1/3.
d. We have:
P(A|C) = P(A and C) / P(C)
To find P(A and C), we need to count the number of outcomes that satisfy both A and C. Since C requires the blue die to show 5, there is only one outcome that satisfies both A and C: (5,5). So, P(A and C) = 1/36.
Therefore, P(A|C) = (1/36) / (1/6) = 1/6.
e. We have:
A and B are not independent, because knowing that the sum is odd affects the probability of the sum being at least 10 (it makes it impossible).
B and C are not independent, because knowing that the blue die shows 5 affects the probability of the sum being odd (it makes it even).
A and C are independent, because knowing that the blue die shows 5 does not affect the probability of the sum being at least 10.
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Does anyone know how to do simple interest for 7th grade math? I need a tutorial or an example please, thanks. A question example is $750, 7%, 3 years.
Answers
Answer:
750/100 X 7 = 52.50
52.50 X 3 = $157.50
Step-by-step explanation:
divide principal amount by 100 then multiply by interest percentage. this gave 52.50
now multiply the interest amount by number of years
in this case 3
52.50 X 3 = $157.50
A pool is being drained at a rate of 7200 gallons per hour. What is this rate in gallons per minute?
HINT: 60 minutes = 1 hour
Answers
Answer:
120 gallons per minute