Answer:
[tex]y=C(x+3)^2[/tex]
Step-by-step explanation:
We are given:
[tex]\displaystyle (x+3)y^\prime=2y[/tex]
Separation of Variables:
[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}[/tex]
So:
[tex]\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx[/tex]
Integrate:
[tex]\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx[/tex]
Integrate:
[tex]\displaystyle \ln|y|=2\ln|x+3|+C[/tex]
Raise both sides to e:
[tex]|y|=e^{2\ln|x+3|+C}[/tex]
Simplify:
[tex]|y|=(e^{\ln|x+3|})^2\cdot e^C[/tex]
So:
[tex]|y|=C|x+3|^2[/tex]
Simplify:
[tex]y=\pm C(x+3)^2=C(x+3)^2[/tex]
SOLVE FOR w
-3(w + 5) = -6
Answer:
Step-by-step explanation:
-3w - 15 = -6
-3w = 9
w = -3
Answer:
w = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-3(w + 5) = -6
Step 2: Solve for w
[Division Property of Equality] Divide -3 on both sides: w + 5 = 2[Subtraction Property of Equality] Subtract 5 on both sides: w = -3Kaliq and Maria ench improved their yards by planting grass sod and shrubs. They bought their supplied from the same store. Kali spent $119 on 14ft^2 of grass sod and 3 shrubs. Mana spent 398 on 7ft^2 of grass sod and 7 shrubs. Find the cost of one ft^2 of grass sod and the cost of one shrub
Answer:
i dont get it
Step-by-step explanation:
2,5 1,3. 9,20. 13,30.
Answer:
13/10 < 25/10 < 92/10 < 133/10
Step-by-step explanation:
13/10 is less than 5/2 is less than 46/5 is less than 133/10
how do you express 90 inches in yards and inches.
Answer:
90 inch=2.5 yard
Step-by-step explanation:
divide the length value by 36
happy to help ya :)
Whoever answers first gets brainliest
Step-by-step explanation:
nasaan po ang tanong, where is the question
que pasa si un objeto imparable choca con uno inabobible
English Answer: No object can resist an irresistible force. No force can move an immovable object. So if an immovable object meets an irresistible force it will move and not move.English:
Spanish Answer: Ningún objeto puede resistir una fuerza irresistible. Ninguna fuerza puede mover un objeto inamovible. Entonces, si un objeto inamovible se encuentra con una fuerza irresistible, se moverá y no se moverá.
Step-by-step explanation:
¿Qué pasaría si una fuerza imparable chocara contra un objeto inamovible? Las respuestas comunes a esta paradoja recurren a la lógica y a la semántica.
Lógica: Si existe una cosa tal como una fuerza imparable, entonces no puede existir un objeto inamovible y viceversa. Es lógicamente imposible la existencia de los objetos (una fuerza imparable y un objeto inamovible) en un mismo universo al mismo tiempo.
Semántica: Si existe una cosa tal como una fuerza imparable, entonces hablar de un objeto inamovible no tendría sentido en ese contexto y viceversa, con lo cual el asunto vendría a ser algo así como preguntar, por ejemplo, por un triángulo de cuatro lados.
A farmer owns a strip of land next to an interstate. It is 1 mile long and 1/6 mile wide. What is the area of this strip of land in square miles?
Answer:
1/6 square miles
Step-by-step explanation:
lw=a
1*1/6=1/6
Answer:
1/6 square mlies
Step-by-step explanation:
if MJ is in grade 8, then he is 14 years old.
Answer:
True
Step-by-step explanation:
because the grade 8 students can be 14 years old
How do you graph y = (4 – x)(x + 2)?
Answer: look at the picture
Step-by-step explanation: hope this help
Reduce to simplest form
+
Answer:
?
Step-by-step explanation:
What is the question?
John plans a journey to visit his sister in Newcastle.
He wants to fill up the bottle for the windscreen washer before he starts the journey.
John mixes 1 part screen wash with 5 parts water.
He uses 125 ml of screen wash.
(a) How much water should John use?
Step-by-step explanation:
For the series-parallel network: a. Find the current I. b. Find the currents /3 and 19.
Treyvion runs a total of 48 miles in 12 days, how many miles can he run in 20 days?
Answer:
80 miles in 4 days.
Step-by-step explanation:
48/12 = 4
4 miles per day
4 × 20 = 80
80 miles in 4 days
A rectangular patio has a length of (3x-6) and a width of 5x, find the perimeter in simplest form
Help!!!!
Given that slope = -4 and a point (-2,5), write an equation in standard form
of the line.
Michael is building a skateboard ramp He cannot decide how long the ramp should be so he draws the blueprint below. Michael draws a vertical line in the big triangle AAGH to form the AABC Michael determines the slope of both triangles to find out which ramp will be steeper
Answer:
The answer is below
Step-by-step explanation:
The slope of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]
The slope of triangle ABC is gotten by finding the slope of line AC. Line AC passes through the point A(15, 1) and C(10, 3). The slope of triangle ABC is given by:
[tex]slope\ of\ triangle\ ABC=\frac{3-1}{10-15}=-0.4\\[/tex]
The slope of triangle AGH is gotten by finding the slope of line AH. Line AH passes through the point A(15, 1) and H(0, 7). The slope of triangle AGH is given by:
[tex]slope\ of\ triangle\ AGH=\frac{7-1}{0-15}=-0.4\\[/tex]
Since both triangles have the same slope, therefore their steepness is the same.
1. Given: Angle 2 is 65 degrees.
(a) What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.
(b) What is the angle measurement of Angle 7. Explain the angle relationship used and show your work.
(c) What is the angle measurement of Angle 3. Explain the angle relationship used and show your work.
Answer:
Part A. Angle 4 is 115 Part B. angle 7 is 65 Part C angle 3 is 65
Step-by-step explanation: Part A. Is a corresponding angle of 1 and 4 Part B. alternate exterior angle of 2 Part C. corresponding angle of 7
Three consecutive integers have a sum of 48. Find the integers.
Answer:
15,16,17
Step-by-step explanation:
Consecutive intigers: numbers that go in order (eg. 1,2,3....45,46,47)
x+x+1+x+2=48
3x+3=48
3x=45
x=15
15,16,17
help math eeekkkkkkk
Answer:
Step-by-step explanation:
Which sign makes the following statement true? 2/5 _____ 6/15
Answer:
2/5=6/15
Step-by-step explanation:
2/5
3x2=6
3x5=15
compare they are same
give me brainliest pls
The equal sign completes the give incomplete mathematical statement.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.The given incomplete expression is -
2/5 _____ 6/15
The given expression is -
2/5 ____ 6/15
2/5 ____ 2/5
0.4 ____ 0.4
0.4 = 0.4
Therefore, the equal sign completes the give incomplete mathematical statement.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
n(U) = 147, n(A) = 48, n(B) = 68, n(A ∩ B) = 19, n(A ∩ C) = 22, n(A ∩ B ∩ C) = 10, n(A' ∩ B ∩ C') = 39, and n(A' ∩ B' ∩ C') = 36.
Find n(C).
A) 26
B) 14
C) 30
D) 46
Answer: D) 46
===========================================================
Explanation:
We have these 8 given facts
N(U) = 147n(A) = 48n(B) = 68n(A ∩ B) = 19n(A ∩ C) = 22n(A ∩ B ∩ C) = 10n(A' ∩ B ∩ C') = 39n(A' ∩ B' ∩ C') = 36Draw out a rectangle to represent the universal set U. Inside this rectangle, draw three overlapping circles. Refer to the diagram below (imagine that none of the values have been written down just yet). These circles are A, B, and C.
Now we'll focus on the 8 facts above. To start off, we'll look at fact 6 which says n(A ∩ B ∩ C) = 10. This means there are 10 items inside all three sets. This is the middle most region where all three circles overlap with one another.
Then move to fact 4 and we see that 19 items are in sets A and B at the same time. Subtract off those 10 items in all three sets and we have 19-10 = 9 items in set A and B, but not set C. We can write this as n(A ∩ B ∩ C') = 9 if you wanted to stay consistent with this math notation. Write "9" in the overlapped region between A and B, but not inside circle C.
Now go to fact 5. We have n(A ∩ C) = 22 telling us there are 22 items in both sets A and C at the same time. Subtract off the 10 in all three sets and we're left with 22-10 = 12 items in set A and set C, but not set B. We can write this as n(A ∩ B' ∩ C) = 12. Write "12" in the region between A and C, but outside of circle B.
If you're stuck anywhere, refer to the diagram below. Imagine that not all of the values have been filled in just yet.
---------------------------
So far you should have the numbers 10, 9 and 12 written in those positions I mentioned. Circle A is mostly filled out. We're missing the region that's inside A but outside both B and C; however, we can find that to be 17. Why is this? Well because n(A) = 48 and the other values (10, 9 and 12) add to 10+9+12 = 31. Then note how 31+17 = 48. So we must have 17 items in circle A but outside the other circles. We can write this as n(A ∩ B' ∩ C') = 17
In short, all of the values in circle A must add to 48. We have 17+10+9+12 = 48.
From fact 7, we can see that n(A' ∩ B ∩ C') = 39 meaning there are 39 items in circle B and not in any other circle. So we'll fill this value in as well.
The last value to fill in is the 36 from fact 8. This goes outside all of the circles.
The venn diagram below shows all of these values filled in that I mentioned so far. The missing two blank regions in circle C can be thought of as one region for the sake of simplicity.
---------------------------
Using that diagram of filled in values, add up every number written down:
17+9+39+12+10+36 = 123
We have 123 items so far in the universal set
We're told that n(U) = 147, meaning there are 147 items total in the universal set.
This must mean that 147-123 = 24 items are in the two blank regions of circle C. We don't need to break down how the 24 splits up.
That 24 adds to the other numbers inside circle C to get to the final answer
12+10+24 = 46
Choice D is the answer.
Side note: you could use n(B) = 68 to help break down those two blank regions of circle C, but that's just unnecessary extra work.
Write the multiples for the
odd numbers between 1 and 10.
Answer:
3, 6, 9
Step-by-step explanation:
Pls help due in 10 minutes
Answer:
Boy I'm really boutta get to yo pickle chin ahh boy, egg head like collard greens head a//ss boy, oh hell nah boy yo dirt ahh boy stank ahh boy afro head ahh, lip gloss chin ahh boy ugly ahh boi
Step-by-step explanation:
Aawdadakdaw da awdwa dadeefdcdcs
Does anybody know how to do this?
Answer:
hajajajanannanssjaiwowi
An equation is shown below:
8(2x − 14) + 13 = 4x − 27
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Amd please show the work.
Step-by-step explanation:
first distribute the first equation
8(2x) - 8(14) +13 = 4x -27
16x - 112 +13 = 4x -27
then combine like terms
16x - 99 = 4x -27
subtract 4x from both sides
12x - 99 = -27
add 99 to both sides
12x = 72
divide both sides 12 to isolate the x
x = 72/12 = 6
HURRY IM TIMED!!!
Select all the expressions that are equivalent to 21.
A.210 ÷ 10
B.741 ÷ 39
C.630 ÷ 30
D.756 ÷ 36
E.200 ÷ 10
Answer:
A, C, and D
Step-by-step explanation:
Answer: A - C - D
Step-by-step explanation:
A= 21
B= 19
C= 21
D= 21
E= 20
Find the missing lengths or missing angles.
Answer:
M = 70° ( base angles of isosceles triangles are equal)
Answer: M = 70° ( base angles of isosceles triangles are equal)
Step-by-step explanation:
A regular price bathing suit is $89.99. What is the new price if it on sale for 25% off the regular price?
Answer:
$67.49 and 1/4 of a cent
Step-by-step explanation:
25% of 89.99 = 224975
89.99-22.4975=67.4925
Answer:
25%=1/4 1/4 of 90= 22.5 90-22.5=67.5
Step-by-step explanation:
If a scientific team uses special equipment to measures the pressure under water and finds it to be 282 pounds per square foot, at what depth is the team making their measurements?
p=282 pounds per square foot =1 376.8 kg/m2
d- density of water
d≈997 kg/m³
p=d*h
h=p/d
h=1 376.8/997
h=1.38 m (about 4530 feet 105⁄64 inches)
pls plz plz plz plz plz help me pls
Answer:
7 i think
Step-by-step explanation:
Answer:
8 square units I believe!
Step-by-step explanation:
Hope that helps!
A rectangle has a length of (x+3) centimeters and a width of 1/2 x centimeters. If the perimeter is 24 centimeters, what is the length of the rectangle?
Answer:
Step-by-step explanation:
Perimeter = 2L + 2W = 24
L+W = 12
(x+3)+(x/2) = 12
2x+6 +x = 24
x = 6 cm
L = x+3 = 9 cm
