An artist used 6 tubes of red paint, 2 tubes of yellow paint, 13 tubes of white paint, and 9 tubes of blue paint for a mural. what is the ratio of blue paint tubes to all the tubes of paint used?
Answers
The ratio of blue paint to all tubes of paint = 3:10
Number of tubes of red paint = 6 tubes
Number of tubes of yellow paint = 2 tubes
Number of tubes of white paint = 13 tubes
Number of tubes of blue paint = 9 tubes
Total no. of paint tubes = 6 red tubes + 2 yellow tubes+ 13 white tubes + 9 blue tubes = 30 tubes of paint
We use the following formula to find the required ratio:
The ratio of blue paint tubes to all tubes of paint = Number of blue paint tubes: Number of all tubes = 9:30 or 3:10
Learn more about ratios:
https://brainly.com/question/13419413
#SPJ4
Related Questions
help with this question -8=-16+n
Answers
Answer:
8
Step-by-step explanation:
-16-8=8
!!!!Please help me answer these ASAP!! EXTRA POINTS!!!!!!!WILL MARK BRAINLIEST!!!!!
1) Which of the following is a zero of 8x2+38x+35?
A) -5/4
B) 7/2
3) Which of the following zeros of the following quadratic function x2+14x+49?
A)-7
B)14
Answers
Answer:
1) A
3) A
Step-by-step explanation:
Solve using factoring or quadratic formula.
The Esteban family will order one T-shirt for each person who attends their family reunion. The cost is $6.50 per T-shirt plus a one-time printing fee of $35.00. This can be represented by the equation c= 6.5n+35, where c represents the total cost of the shirts and n represents the number of shirts ordered. If the family can spend no more than $2,000.00 on T-shirts, what is the maximum number they can order?
Answers
Answer: 302
Step-by-step explanation:
350 students at the middle school ride the bus home and 50 of them walk home. What percent of students walk home?
Answers
Answer:
14.29%
Step-by-step explanation:
calculate the fraction by dividing it, then multiply that fraction value by 100 and add a precent sign, thats about it
50/350 = 0.14285714285
0.14285714285 x 100 = 14.2857142857
round it and get 14.29
add a percentage sign and tadaa!
14.29%
Elijah bought stock in a company two years ago that was worth a dollars. During the
first year that he owned the stock, it increased by 35%. During the second year the
value of the stock increased by 11%. Write an expression in terms of a that represents
the value of the stock after the two years have passed.
Answers
Answer:
x + .35X - .11(x - .35x)
Step-by-step explanation:
Let x = the original price of the stock.
x + .35x This is first year
-.11( x + .35x) is the second year
x + .35X - .11(x - .35x)
The radius of a circle is 12 yards. What is the circle's area?
Answers
considered cx-d=2x+4 if d value is 2 than what is c's value so this has
no solution
Answers
The value of c so that cx-d=2x+4 has No Solution is c=2.
In the given question ,
we have
cx-d=2x+4 ....(i)
Given that d = 2 ,
We substitute the value of d=2 in equation (i)
On substituting we get
cx-2=2x+4
Simplifying further we get
cx=2x+4+2
cx=2x+6
cx-2x=6
x(c-2)=6
x=6/(c-2)
For x to have NO SOLUTION the denominator should be 0.
because when denominator becomes 0 the value becomes not defined , hence will have no solution.
Substituting the denominator = 0
we get c-2=0
c=2.
Therefore , the value of c so that cx-d=2x+4 has No Solution is c=2.
Learn more about Solution Of Equation here https://brainly.com/question/28307763
#SPJ1
Which statements about the function y = x ^ 2 - 6x + 8 are true?
Answers
Answer:
There are multiple statements that can be made about the function y = x^2 - 6x + 8. Here are a few examples: 1. The function is a quadratic function, meaning it is a polynomial of degree 2. 2. The coefficient of the x^2 term is positive, which means the function opens upwards and has a minimum value. 3. The function intersects the y-axis at y = 8. 4. To find the x-coordinate of the vertex of the parabola, we can use the formula x = -b/(2a), where a is the coefficient of the x^2 term and b is the coefficient of the x term. In this case, a = 1 and b = -6, so x = 3. This means the vertex is at the point (3, 1). 5. The function can be factored
Please solve both equations for x
Answers
Answer:
11x-4=14+9x
11x - 9x= 14 + 4
2x = 18
divide both sides by 2
2x ÷ 2 = 18 ÷ 2
x = 9
Consider the functions z = -3 e^x In y, x = ln (u cos v), and y = u sin v.
(a) Express ∂z/∂u and ∂z/∂v as functions of u and v both by using the Chain Rule and by expressing z directly in terms of u and v before differentiating. (b) Evaluate ∂z/∂u and ∂z/∂v at (u, v) = (5, π/3)
(a) Find each partial derivative needed to use the Chain Rule to find ∂z/∂u and ∂z/∂v
Answers
a) We have: ∂z/∂u = (∂z/∂x)(∂x/∂u) + (∂z/∂y)(∂y/∂u)
= -3y e^x (cos v)/u - 3e^x sin v
∂z/∂v = (∂z/∂x)(∂x/∂v) + (∂z/∂y)(∂y/∂v)
= -3y e^x (-u sin v) + 3e^x u cos v
b) at (u, v) = (5, π/3), ∂z/∂u ≈ -7.03 and ∂z/∂v ≈ 12.92.
To use the chain rule, we need to find the partial derivatives of z with respect to x, y, u, and v:
∂z/∂x = -3y e^x
∂z/∂y = -3e^x
∂x/∂u = (cos v)/u
∂x/∂v = -u sin v
∂y/∂u = sin v
∂y/∂v = u cos v
Using the chain rule, we have:
∂z/∂u = (∂z/∂x)(∂x/∂u) + (∂z/∂y)(∂y/∂u)
= -3y e^x (cos v)/u - 3e^x sin v
∂z/∂v = (∂z/∂x)(∂x/∂v) + (∂z/∂y)(∂y/∂v)
= -3y e^x (-u sin v) + 3e^x u cos v
(b) Evaluate ∂z/∂u and ∂z/∂v at (u, v) = (5, π/3)
We first need to express x, y, and z in terms of u and v:
x = ln(u cos v)
y = u sin v
z = -3e^x In y = -3e^(ln(u cos v)) In (u sin v) = -3u cos v ln(u sin v)
Taking partial derivatives directly, we have:
∂z/∂u = -3(cos v)(ln(u sin v) + 1)
= -3(1/2)(ln(5(sin π/3)) + 1)
= -3(1/2)(ln(5(√3/2)) + 1)
≈ -7.03
∂z/∂v = 3u sin^2 v + 3u cos^2 v ln(u sin v)
= 3(5)(3/4) + 3(5)(1/4)(ln(5(√3/2)))
≈ 12.92
Therefore, at (u, v) = (5, π/3), ∂z/∂u ≈ -7.03 and ∂z/∂v ≈ 12.92.
Learn more about derivatives here:
https://brainly.com/question/29020856
#SPJ11
At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 3 PM? The distance is changing at (Note: 1 knot is a speed of 1 nautical mile per hour.). knots.
Answers
the distance between the ships is not changing at 3 PM. It remains constant at 93 nautical miles.
To find the rate at which the distance between the ships is changing at 3 PM, we need to determine the positions of the ships at that time.
Let's start by calculating the distance traveled by each ship from noon to 3 PM.
Ship A:
Since it is sailing west at a speed of 21 knots for 3 hours, the distance traveled by Ship A is:
\(Distance_A\) = \(Speed_A\) * Time
= 21 knots * 3 hours
= 63 nautical miles
Ship B:
Since it is sailing north at a speed of 15 knots for 3 hours, the distance traveled by Ship B is:
\(Distance_B\) = \(Speed_B\) * Time
= 15 knots * 3 hours
= 45 nautical miles
Now we can determine the positions of the ships at 3 PM.
Ship A:
Since it started 30 nautical miles due west of Ship B, and it traveled an additional 63 nautical miles west, the position of Ship A at 3 PM is 30 + 63 = 93 nautical miles due west of Ship B.
Ship B:
Since it started at a position and did not change its direction, Ship B will still be at the same position at 3 PM.
Now, we can calculate the distance between the ships at 3 PM.
Distance = \(Position_A - Position_B\)
= 93 nautical miles - 0 nautical miles
= 93 nautical miles
To find the rate at which the distance is changing at 3 PM, we need to calculate the derivative of the distance with respect to time.
Distance' = (d/dt) (Distance)
Since the position of Ship B is constant, its derivative is zero.
Distance' = (d/dt) (\(Position_A\))
= (d/dt) (93 nautical miles)
= 0 knots (since the position of Ship A is constant)
To know more about distance visit:
brainly.com/question/15172156
#SPJ11
Easy math problems!!!!
Answers
Att: Cardi b okrrrrrr
Answer:
845
Step-by-step explanation:
ehjfuilgi
The parent teacher association is raising money for a new swing set. They need $682.56 to purchase the swing set and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swing set?
Answers
Answer:
Each student will raise $60.32
Step-by-step explanation:
682.56-200.000 = 482.56
482.56/8 = $60.32
factorize 4x^3 -8x^2- 12x
Answers
Answer:
Step-by-step explanation:
4x³ - 8x² - 12x = 4x ( x² - 2x - 3)
= 4x (x² + x - 3x - 3*1)
= 4x [ x(x + 1) - 3(x +1)]
= 4x [ (x +1) (x - 3)]
= 4x (x + 1)(x-3)
Answer:4x^3 -8x^2- 12x
Taking common4 x
4X(x²-2x-3)
Doing middle term factorization
4x(x²-3x+x-3)
4x(x(x-3)+1(x-3))
4x(x-3)(x+1) is your answer
Step-by-step explanation:
If the population of the United States is 260 million, the labor force is 130 million, and 120 million workers are employed, the rate of unemployment is:
A) 7.7%.
B) 8.3%.
C) 50%.
D) 92%.
A
Answers
7.7%. is the rate of unemployment.
What is unitary method?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.Consider your square as being composed of smaller unit squares.The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.According to our question-
Unemployment rate = number of unemployed people / total number of unemployed people * 100
Similarly,
Workforce = Employed + Unemployed
Unemployed = 130 million - 120 million. That's 10 million.
For this reason,
Unemployment rate = 10 / 130 * 100
Unemployment = 7.69% or about 7.7%.
Hence, 7.7%. is the rate of unemployment.
learn more about unitary method click here:
brainly.com/question/25292087
#SPJ4
Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.
x = 2 + (y − 5)^2, x = 11
Answers
To find the volume V of the solid obtained by rotating the region bounded by the curves x = \(2 + (y - 5)^2\)and x = 11 about the x-axis using the method of cylindrical shells, we can follow these steps:
Determine the limits of integration. Since we are rotating about the x-axis, we need to find the x-values where the curves intersect. Set the two equations equal to each other and solve for y:
\(2 + (y - 5)^2 = 11\)
Simplifying, we get:
(y - 5)^2 = 9
Taking the square root, we have:
y - 5 = ±3
This gives us two values for y: y = 2 and y = 8. So the limits of integration for y are from 2 to 8.
In this case, the radius r is given by x (since we are rotating about the x-axis) and the height h is the difference between the x-values of the two curves at each y-value.
The radius r = x = 11 - (y - 5)^2, and the height h = 11 - (2 + (y - 5)^2). Therefore, the integral becomes:
V =\(∫(2π(11 - (y - 5)^2)(11 - (2 + (y - 5)^2)))dy\)
Evaluate the integral by integrating with respect to y over the given limits of integration:
V = \(∫[2π(11 - (y - 5)^2)(11 - (2 + (y - 5)^2))]\)dy from 2 to 8
After evaluating the integral, you will obtain the volume V of the solid.
Learn more about integration here:
https://brainly.com/question/31744185
#SPJ11
Find the area of the region described. The region bounded by y = 4(x + 1), y = 5(x + 1), and x = 4 The area of the region is . (Type an exact answer.)
Answers
The area of the region bounded by the curves y = 4(x + 1), y = 5(x + 1), and x = 4 is 25/2.
To find the area of the region described, we need to determine the points where the given curves intersect and then calculate the area between these curves.
The equations of the curves are:
y = 4(x + 1)
y = 5(x + 1)
x = 4
First, we find the intersection points of the curves by setting the equations equal to each other:
4(x + 1) = 5(x + 1)
4x + 4 = 5x + 5
x = -1
So the intersection point is (-1, 4) and (-1, 5).
Next, we calculate the area between the curves. Since the region is bounded by y = 4(x + 1) and y = 5(x + 1), we need to find the definite integral of the difference between these curves from x = -1 to x = 4.
Area = ∫[-1 to 4] [5(x + 1) - 4(x + 1)] dx
= ∫[-1 to 4] (x + 1) dx
Integrating, we have:
Area = [1/2 * x^2 + x] evaluated from x = -1 to x = 4
= [1/2 * (4^2) + 4] - [1/2 * (-1^2) + (-1)]
= [8 + 4] - [1/2 + (-1)]
= 12 - 1/2 + 1
= 24/2 - 1/2 + 2/2
= 25/2
To know more about area of the region,
https://brainly.com/question/31052605
#SPJ11
Write as an inequality:
A number is less then 6 from 0
Answers
Answer:
0< a <6
Step-by-step explanation:
Answer:
\(6 > n < 0\)
let n be the missing number
since n is less than 6 but greater than 0 n should be between 6 and 0.
8. An automobile traveled 320 miles in 6 hours. What is its average speed?
Answers
Answer:
The automobile's average speed is 53.33 mph.
Step-by-step explanation:
Since average speed equals total distance traveled divided by the time of the travel we have:
d = 320 mi the distance traveled
t = 6 hr the time of the travel
v = average speed
v = d/t
v = 320/6
v = 53.33 mph
Answer:
about 53 miles per hour
Step-by-step explanation:
320/6 is 53.33 repeated
you divide 320/6 because you need to know how many miles you going in an hour
hope that helps!
The table below shows three special sequences (A to C) of numbers.
A 1; 4; 9; 16; 25; 36 ...
B 1:8; 27; 64; 125; 216...
C 1:3; 6; 10; 15; 21; ...
3.1 Write down the next THREE terms of the respective patterns.
3.2.
Identify the pattem (sequence of numbers) represented by each letter.
3.3
Determine the formula for the general term of each sequence.
3.4
Determine the 100 term of each respective pattern.
Answers
Answer:
3.1 A) 49; 64; and 81
B) 343; 512; and 729
C) 28; 36; and 45
3.2 A) 1²; 2²; 3²...
B) 1³; 2³; 3³...
C) 1; 1+2; 1+2+3; ...
3.3 A) aₙ = n²
B) aₙ = n³
C) aₙ = n·(n + 1)/2
3.4 A) 10,000
B) 1,000,000
C) 5,050
Step-by-step explanation:
The given sequences are;
A 1; 4; 9; 16; 25; 36...
B 1; 8; 27; 64; 125; 216...
C 1; 3; 6; 10; 15; 21;...
3.1 A) The terms, aₙ, of sequence 'A' are given as follows;
aₙ = n², where, n = 1, 2, 3,...
The next three terms of sequence 'A' are therefore;
a₇ = 7³ = 49, a₈ = 8² = 64, and a₉ = 9² = 81
The next three terms of sequence 'A' are ; 49; 64; and 81
B) The terms, aₙ, of sequence 'B' are given as follows;
aₙ = n³, where, n = 1, 2, 3,...
The next three terms of sequence 'B' are therefore;
a₇ = 7³ = 343, a₈ = 8³ = 512, and a₉ = 9³ = 729
The next three terms of sequence 'B' are; 343; 512; and 729
C) The terms, aₙ, of sequence 'C' are given as follows;
aₙ = n·(n + 1)/2, where, n = 1, 2, 3,...
The next three terms of sequence 'A' are therefore;
a₇ = 7×(7 + 1)/2 = 28, a₈ = 8×(8 + 1)/2 = 36, and a₉ = 36 + 9×(9 + 1)/2 = 45
The next three terms of sequence 'A' are ; 28; 36; and 45
3.2 A) The pattern of the numbers in sequence 'A', consists of squaring (raising to the power of 2) each number in the sequence of natural numbers
B) The pattern of the numbers in sequence 'B', consists of raising to the power of 3 each number in the sequence of natural numbers
C) The pattern is the triangular number sequence and consists of finding half the number dots that are present in a n by (n + 1) rectangle, which is given by finding the sum of the natural numbers up to the given term in the sequence
3.3 A) The formula for the general term of sequence, A, is aₙ = n²
B) The formula for the general term of sequence, B, is aₙ = n³
C) The formula for the general term of sequence, C, is aₙ = n·(n + 1)/2
3.4 A) The 100th term of sequence 'A', a₁₀₀ = 100² = 10,000
B) The 100th term of sequence 'B', a₁₀₀ = 100³ = 1,000,000
C) The 100th term of sequence 'C', a₁₀₀ = 100 × (100 + 1)/2 = 5,050.
The Computer Club spends $19.95 on mouse pads for new members. The mouse pads are $0.95 each. How many new members does the club have?
Answers
The club has 21 new members.
A study compared the effects of regular-fat cheese to an equal amount of reduced-fat cheese on LDL cholesterol levels. What is/are the dependent variable(s)?
a. regular fat cheese
b. LDL levels
c. reduced fat cheese
d. both a and b
e. both b and c
Answers
In the given study comparing the effects of regular-fat cheese to reduced-fat cheese on LDL cholesterol levels, the dependent variable(s) refers to the outcome(s) that are being measured or observed. In this case, the dependent variable in this study is: b. LDL levels
The dependent variable is the variable that is measured or observed to assess the effect of the independent variable(s). In this case, the study is comparing the effects of regular-fat cheese and reduced-fat cheese on LDL cholesterol levels.
LDL cholesterol levels are the outcome being measured to determine the impact of the different types of cheese on cholesterol. Therefore, option b, LDL levels, is the dependent variable in this study. Options a (regular fat cheese) and c (reduced fat cheese) are not the dependent variables but rather the independent variables, as they are the different conditions being compared to assess their effect on LDL levels.
Option d (both a and b) and option e (both b and c) are incorrect because regular-fat cheese (option a) is an independent variable, not a dependent variable.
To know more about dependent variable refer here:
https://brainly.com/question/1479694?#
#SPJ11
find the area of the surface obtained by rotating the given curve about the x-axis. x = 20 cos 3 ( θ ) , y = 20 sin 3 ( θ ) , 0 ≤ θ ≤ π 2
Answers
The area of the surface obtained by rotating the curve x = 20 cos(3θ), y = 20 sin(3θ), where 0 ≤ θ ≤ π/2, about the x-axis is calculated using the formulA for surface area of revolution
To find the area of the surface, we can use the formula for the surface area of revolution. Given a curve defined parametrically by x = f(θ) and y = g(θ), where α ≤ θ ≤ β, the surface area obtained by rotating the curve about the x-axis is given by:
A = ∫[α,β] 2πy √(1 + (f'(θ))²) dθ
In this case, we have x = 20 cos(3θ) and y = 20 sin(3θ), with 0 ≤ θ ≤ π/2. Taking the derivatives, we find f'(θ) = -60 sin(3θ) and g'(θ) = 60 cos(3θ).
Plugging these values into the surface area formula and simplifying, we get:
A = ∫[0,π/2] 2π(20 sin(3θ))(√(1 + (-60 sin(3θ))²)) dθ
Evaluating this integral will give us the exact value of the surface area of the rotated curve about the x-axis within the given range of θ.
Learn more about integral here: https://brainly.com/question/31433890
#SPJ11
twelve taps can fill a tank in 4 hours .how long will it take sixteen taps to fill the same tank if the rate of flow is the same?
Answers
It will take 16 taps, working at the same rate of flow as 12 taps, 3 hours to fill the tank.
What is algebra?Algebra is a branch οf mathematics that deals with mathematical οperatiοns and symbοls used tο represent numbers and quantities in equatiοns and fοrmulas.
Let's start by assuming that the rate of flow for each tap is constant and equal. Let's call this rate of flow "x."
We know that 12 taps can fill the tank in 4 hours. So, the total amount of water that can be filled in 1 hour by 12 taps is:
12 taps x rate of flow per tap = 12x
And the total amount of water that can be filled in 4 hours by 12 taps is:
4 hours x 12 taps x rate of flow per tap = 48x
Now, if we want to find out how long it will take 16 taps to fill the same tank at the same rate of flow, we can use the same formula. Let's call the time it takes for 16 taps to fill the tank "t."
So, the total amount of water that can be filled in 1 hour by 16 taps is:
16 taps x rate of flow per tap = 16x
And the total amount of water that can be filled in "t" hours by 16 taps is:
t hours x 16 taps x rate of flow per tap = 16tx
Since the tank size is constant, we can set the total amount of water filled by 12 taps equal to the total amount of water filled by 16 taps:
48x = 16tx
Solving for "t," we get:
t = 48x / (16x) = 3
Therefore, it will take 16 taps, working at the same rate of flow as 12 taps, 3 hours to fill the tank.
To learn more about algebra from the given link:
https://brainly.com/question/24875240
#SPJ1
What is the area of the rectangle shown on the coordinate plane?
Enter your answer in the box. Do not round at any step.
Answers
The area of the rectangle shown on the coordinate plane is 12 square units.
What is the area of the rectangle shown on the coordinate plane?
To calculate the area of a rectangle, multiply the length by the width of the rectangle.
To find the area of the rectangle shown on the coordinate plane, first, we need to calculate the distance between the points that conforms two of the sides of the rectangle (base and height).
We can use any of the four vertex points shown on the coordinate plane, so, we will use the points:
1 - (-4, 1)
2 - (-1,-2)
3 - (-3,-4)
4 - (-6, -1)
Then, calculating the length of the sides,
Consider rectangle ABCD with vertices A(-4, 1), B(-1, -2), C(-3, -4) and D(-6, -1). The area of the rectangle is
A = length * Width
Find the length and the width:
AB = √(-1 - (-4))² + (-2 - 1)² = √9 + 9 = √18
BC = √(-3 - (-1))² + (-4 - (-2))² = √4 + 4 = √8
Then the area of the rectangle ABCD is
A = √18 * √8
A = 12 unit²
Hence, the area of the rectangle shown on the coordinate plane is 12 square units.
To learn more about the area of the rectangle visit,
https://brainly.com/question/7870023
#SPJ1
Let u = 2] 3k, v= 6i + 4j - 4k, w=3i 2k. Which vectors if any are (a) perpendicular? (b) Parallel?
Answers
The vector v is perpendicular to the line with x-coordinate 2, y coordinate 3 and z coordinate 6. The vector w is parallel to this line and has components 3i + 2j + 1k.
A vector is (a) perpendicular if its direction of movement makes it opposite to the direction of movement of the particle, or (b) parallel if it lies in the same plane as a given particle.
We can see that the vector v and w are perpendicular as they start at a point at which we know that k is positive and end at a point which happens to be on the x-axis. We also know perpendicirorities happen when any two vectors intersect in their first and last natures.
In order to find the perpendicular vectors we have to use the cross product. The y-axis is the set of all y values (0 and 2). The z-axis is an axis that connects the origin and origin + 1 on every j.
The x-axis is also considered a plane as each point is marked by an angle/orientation.
For more similar questions on perpendicular:
https://brainly.com/question/26356616
#SPJ11
Someone pls help THIS IS CONFUSIN 100 points
Answers
Answer: 13x^6+3x^4+9x^3+2x^2+13
Step-by-step explanation:
please ignore the writing. but help me solve it please. its the second nintey level one.
Answers
Answer:
Please give me the question I cant read
Step-by-step explanation:
Please give me the question I cant read
Using an integrating factor, solve y-y-5 CD- in the method for solving a first-order linear differential equation, the first step is to put the equation in the standard form y alty bit). is the given equation in the standard form? No Yes Identify a(t) and bit)
Answers
The value of a(t) is -1 and b(t) is 55 + \(e^t\)
No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.
In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.
For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:
μ(t) = e^∫a(t)dt
To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.
To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).
Comparing the given equation with the standard form, we can identify:
a(t) = -1
b(t) = 55 + \(e^t\)
Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)
Learn more about integrating factor here
https://brainly.com/question/32554742
#SPJ4
Perform the indicated operation. Be sure the answer is reduced.
4x/2x+y + 2y/2x+y
4
2
1
Answers
Answer:
2y + y/x + 2
Step-by-step explanation:
is the answer.....