It looks like the differential equation is
[tex]y'-\dfrac y{x+1}=2[/tex]
Multiply both sides by 1/(x + 1) :
[tex]\dfrac{y'}{x+1}-\dfrac y{(x+1)^2} = \dfrac2{x+1}[/tex]
The left side is now a derivative of a product,
[tex]\left(\dfrac y{x+1}\right)' = \dfrac2{x+1}[/tex]
Integrate both sides with respect to x :
[tex]\dfrac y{x+1} = 2\ln|x+1|+C[/tex]
Solve for y :
[tex]y = 2(x+1)\ln|x+1| + C(x+1)[/tex]
The height of a certain mountain in California is 14,857 ft. The depth of a known trench in the Pacific Ocean is - 23,128 ft. What is the difference between the height
of the mountain and the depth of the trench?
Answer:
The difference between the height of the mountain and the depth of the trench is 8,271 ft.
Step-by-step explanation:
brainliest plz?
1466899876+245689999999&&
please mark this answer as brainlist
Mathematicians please help me solve this question. Am marking the brainliest.
Step-by-step explanation:
Let [tex]x = r\cos{\theta}[/tex] and [tex]y = r\sin{\theta}[/tex]. Substituting these into our equation, it becomes
[tex]\dfrac{r^2\cos^2{\theta}}{25} + \dfrac{r^2\sin^2{\theta}}{9} = 1[/tex]
or
[tex]9r^2\cos^2{\theta} + 25r^2\sin^2{\theta} = 225[/tex]
Let use the identity [tex]\cos^2{\theta} = 1 - \sin^2{\theta}[/tex] to express the equation in terms of sine only:
[tex]9r^2 - 9r^2\sin^2{\theta} + 25\sin^2{\theta} = 225[/tex]
which simplifies to
[tex]r^2(9 + 16\sin^2{\theta}) = 225[/tex]
Taking the square root and solving for r , we get the polar form of the equation as
[tex]r = \dfrac{15}{\sqrt{9 + 16\sin^2{\theta}}}[/tex]
Answer:
x = r\cos{\theta}x=rcosθ and y = r\sin{\theta}y=rsinθ
\dfrac{r^2\cos^2{\theta}}{25} + \dfrac{r^2\sin^2{\theta}}{9} = 1
25
r
2
cos
2
θ
+
9
r
2
sin
2
θ
=1
or
9r^2\cos^2{\theta} + 25r^2\sin^2{\theta} = 2259r
2
cos
2
θ+25r
2
sin
2
θ=225
Let use the identity \cos^2{\theta} = 1 - \sin^2{\theta}cos
2
θ=1−sin
2
θ
9r^2 - 9r^2\sin^2{\theta} + 25\sin^2{\theta} = 2259r
2
−9r
2
sin
2
θ+25sin
2
θ=225
which simplifies to
r^2(9 + 16\sin^2{\theta}) = 225r
2
(9+16sin
2
θ)=225
Taking the square root and solving for r ,
r = \dfrac{15}{\sqrt{9 + 16\sin^2{\theta}}}r=
9+16sin
2
θ
15
Find the midpoint of the line segment with the given endpoints.
(-1, 5), (6,6)
A) (-3.5, -0.5)
C) (13,7)
B) (2.5, 5.5)
D) (2,6)
joe mixed 10 ozs of blue paint with 4 oz of white paint. he wants to make a batch using 18 oz of white paint, how much blue paint should he use?
explanation would be nice!!
Answer:
45oz
Step-by-step explanation:
We can find the ratio of white to blue paint he needs by dividing.
10 / 4 = 2.5oz of blue paint for every ounce of white paint
Now, we can multiply to find how much blue paint he needs.
18 * 2.5 = 45oz
Best of Luck!
How to solve 3/7m=6 ?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m = 14[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'm'...}}}\\\\(\frac{3}{7}) m=6\\\\-------------\\\rightarrow (\frac{3}{7}m)7 = 6*7\\\\\rightarrow 3m = 42\\\\\rightarrow \frac{3m=42}{3}\\\\\rightarrow \boxed{m= 14}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which choices are equivalent to the expression below? Check all that apply.
5/3
O A. 15.15
B. 75
C. 45
D. 25/3
E. 75
F. 13.5
solve missing values for triangles
Answer:
32±b±90=180(being the three angle of a treangle)
32±90±b=180
122±b=180
B=180-122
b=58 answer
90±23±d=180(being three angle of the trangle)
113±d=180
d=180-113
d=78 answer
Answer
:.b=58
:.d=78
Thank you
In a class there are 27 students. If there are 7 more girls than boys in the class how many students are girls?
Answer:
10boys, 17 girls
Step-by-step explanation:
10+17=27,
17-10=7
Answer: there are 17 girls in the class
Step-by-step explanation:
let the number of boys be x
and the number of girls be re[presented as 7+x
Since there are a class of 27 containing the sum of the boys and girls, we have our equation as
boys +girls =27
x+ 7+x=27
7+2x =27
2x=27-7
2x=20
x=20/2=10
Boys =x=10
girls= 7+x=7+10=17
See similar question here: https://brainly.com/question/21953702
Welp plss this i do 360/30??
Answer:
12 sides
Step-by-step explanation:
its a regular polygon so we can use the formula 180(n-2)/n which finds the angle of the regular polygon, since the exterior angle is 30, the angle of the regular polygon is 180-30=150, so 180(n-2)/n=150.
180n-360=150n30n=360n=360/30=12What is the distance
between the points (4,20)
and (6,9)?
Answer:
68.88m
Step-by-step explanation:
√(x²-x²)²+(y²-20)²
What is the slope of the line?
6x+10y=86x+10y=8
Answer:
D. -3/5.
Step-by-step explanation:
6x + 10y = 8
We convert this to slope-intercept form:
Subtract 6x from both sides of the equation:
10y = -6x + 8
Divide through by 10:
y = -6/10 x + 8/10 (Slope-intercept form)
The slope is -6/10
= -3/5.
10 x 4 thousands =_______ thousands = _________
Answer:
40 000
Step-by-step explanation:
4 thousands = 4000
10 x 4000 = 40 thousands = 40 000
Answer:
40,000
Step-by-step explanation:
six more than twice a number is ten. find the number 8th grade math
write the equation
solve for the variable
Answer:
x = 2
Step-by-step explanation:
Equation: 2x + 6 = 10
2x = 4
x = 2
Answer:
let the number be x
then
2x + 6 = 10
2x = 10-6
2x = 4
x = 2
mark me as brainliest
please solve my difficult question fast
The 3 angles form the straight line AB. A straight line equals 180 degrees.
The 3 angles when added together need to equal 180:
2x + 65 + (x + 65) = 180
Simplify by combining like terms:
3x + 130 = 180
Subtract 130 from both sides
3x = 50
Divide both sides by 3
X = 50/3
X = 16 2/3 (16.66667 as a repeating decimal)
Now you have x if you need to solve all the angles replace x with its value and sole:
2x = 2(16 2/3) = 33 1/3
X + 65 = 16 2/3 + 65 = 81 2/3
Step-by-step explanation:
2x+65°+(x+65°)=180° ( sum of angle of straight angle )
3x+65°+65°=180°
3x=180°-130°
3x= 50°
now,
i) 2x=2*50=100°
ii) (x+65°) = 50+65 =115°
plz mark me brainiest and thanks
have a good day ahead...
(-_-)
7 chickens laid 35 eggs. How many eggs will be laid by 40 chickens?
Plz help
Answer:
200
Step-by-step explanation:
3√12•√6
please show a step by step explanation
Answer: [tex]18\sqrt{2}\\\\[/tex]
This is the same as saying 18*sqrt(2) or you could say 18√2
============================================================
Explanation:
We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
So we could have this as our steps:
[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]
Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]
The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.
Graph the compound inequality on the number line.
x≤4 or x≥8
Answer:
x≤4 is a closed circle on 4 going left and x≥8 is a closed circle on 8 going right
Step-by-step explanation:
Not sure how to explain it.
Help me please please this is due in 10 mins!!!!!
Answer:
that's cheating, still your indian bro will help _XD
Step-by-step explanation:
ab = 34
bc 33
ac 27
pq 27
qr 27
pr 40
Simplify the complex question: n/4 / 3/8
Answer:
[tex] \frac{2n}{3} [/tex]
hope, I'm right
Answer:
[tex] \frac{2n}{3} [/tex]
Step-by-step explanation:
[tex] \frac{ \frac{n}{4} }{ \frac{3}{8} } = \frac{n}{4} \div \frac{3}{8} [/tex]
[tex] \frac{n}{4} \times \frac{8}{3} = \frac{n \times 8}{4 \times 3} [/tex]
[tex] \frac{n \times 2}{3} = \frac{2n}{3} [/tex] ✅
Use the figure.
Select two different rays in the figure.
De
Fd
Ed
Ef
Answer: De and Ef
Step-by-step explanation:
is -81,572 ratonal or irrational
Answer:
rational
Step-by-step explanation:
as it is of the form p/q
mark me as brainliest ❤️
How to determine open interval on which the function is increasing?
Answer:
To find when a function is increasing, you must first take the derivative, then set it equal to 0, and then find between which zero values the function is positive. Now test values on all sides of these to find when the function is positive, and therefore increasing.
15. A movie is
1 7/8
hours long. After 45 minutes, how much of the movie is left?
Step-by-step explanation:
67.5 minutes of the movie that was left
Answer this question please
9514 1404 393
Answer:
A. 500 cm²
Step-by-step explanation:
The height of the piece of cardboard is the same as the height of the prism: 20 cm.
The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.
The area of the cardboard is the product of its height and width.
A = HW
A = (20 cm)(25 cm) = 500 cm²
If 8 men or 17 boys do a piece of work in 26 days, in how many days will 4 men and 24 boys take do a piece of work 5 times as great ?
Answer:
which class Of question is this
Which graph shows a set of ordered pairs that represents a function?
Please help..........................
Answer:
x=30 degree is the answer
Let f be a function defined on the set of positive rational numbers with the property that f(a · b) = f(a) + f(b) for all positive rational numbers a and b. Suppose that f also has the property that f(p) = p for every prime number p. For which of the following numbers x is f(x) < 0?
a. 17/32
b. 11/16
c. 7/9
d. 7/6
e. 25/11
Point M is the midpoint of AB. The coordinates of point A are (−6, 2) and the coordinates of M are (−4, 1). What are the coordinates of point B?
Answer:
-2 ,2
Step-by-step explanation: