Answer:
[tex]\mathbf{((lnx)(2x^2)) -x^2 +39 =(2y^2 +(\dfrac{4}{3})(8+y^2)^{3/2})}[/tex]
Step-by-step explanation:
Given that:
[tex]x In(x) = y( 1+ \sqrt{8+ y^2}) \ } \ \dfrac{dy}{dx}[/tex]
[tex]xln(x) *dx= (y+y \sqrt{(8+y^2}) \ dy[/tex]
[tex]\int xln(x) dx = \int(y+y\sqrt{(8+y^2})) \ dy[/tex]
[tex]\int lnx (x)dx =(\dfrac{y^2}{2} +\dfrac{1}{3}(8+y^2^{)3/2})[/tex]
[tex](lnx \dfrac{x^2}{2})-\int((\dfrac{x^2}{2})\times \dfrac{1}{x} =(\dfrac{y^2}{2} +\dfrac{1}{3}(8+y^2)^{3/2})[/tex]
[tex]((lnx)(\dfrac{x^2}{2}))-\int(\dfrac{x}{2}) =(\dfrac{y^2}{2} +(\dfrac{1}{3})(8+y^2)^{3/2})[/tex]
[tex]((lnx)(\dfrac{x^2}{2}))-(\dfrac{x^2}{4}) +C= (\dfrac{y^2}{2 }+(\dfrac{1}{3})(8+y^2)^{3/2})[/tex]
For y(1) = 1
[tex]((ln(1))(\dfrac{1^2}{2}))-(\dfrac{1^2}{4}) +C= (\dfrac{1^2}{2 }+(\dfrac{1}{3})(8+1^2)^{3/2})[/tex]
[tex](0)-(\dfrac{1}{4}) +C =(\dfrac{1}{2} +(\dfrac{1}{3})(3)^3)[/tex]
[tex]C=(\dfrac{19}{2}) +(\dfrac{1}{4})[/tex]
[tex]C=\dfrac{39}{4}[/tex]
[tex]((lnx)(\dfrac{x^2}{2}))-(\dfrac{x^2}{4}) +(\dfrac{39}{4}) = (\dfrac{y^2}{2} +(\dfrac{1}{3})(8+y^2)^{3/2})[/tex]
[tex]\mathbf{((lnx)(2x^2)) -x^2 +39 =(2y^2 +(\dfrac{4}{3})(8+y^2)^{3/2})}[/tex]
1. Find the point that is a solution for y = 6x + 8
A. (2, 1)
B. (-1,2)
C. (2,4)
D.(-2,4)
Help plz fast.
A table of values of a linear function is shown below.
I don't ever understand this !
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
If the triangles are similar, write a valid similarity statement.
Answer:
the AA~ congruency could be used, because
angle w=y,
angle t=z
and angle x is common
Step-by-step explanation:
That was my answer and I got it right :)
The given triangles are not similar.
What is similarity of triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given a figure of two triangles, ΔWXT and ΔYXZ
Here,
28/35 ≠ 30/38
WX/YX ≠ XT/XZ
We can conclude that, the corresponding sides are not in common ratio, so triangles are not similar.
Hence, The given triangles are not similar.
For more references on similarity in triangles, click;
https://brainly.com/question/25882965
#SPJ5
pls help me it would mean a lot <3
Answer:
The equation of the line will be:
[tex]y\:=\:\frac{2}{5}x[/tex]Step-by-step explanation:
We know the slope-intercept of a line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given two points on a line graph
(0, 0)(25, 10)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)[/tex]
[tex]m=\frac{10-0}{25-0}[/tex]
[tex]m=\frac{2}{5}[/tex]
We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.
From the graph, it is clear
at x = 0, y = 0
Thus, the y-intercept = b = 0
Now, substituting b = 0, and m = 2/5 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{2}{5}x+0[/tex]
[tex]y\:=\:\frac{2}{5}x[/tex]
Therefore, the equation of the line will be:
[tex]y\:=\:\frac{2}{5}x[/tex]CAN SOMEONE PLEASE ANSWER THIS QUESTION ASAP!!
HELP!!! The probability that a male’s foot is between 10 and 12.5 inches is__
p(10
Answer:
I suggest you use Socratic, it solves questions like this.
Step-by-step explanation:
A TV store buys TV's for $250 each, and then increases the price by 120%. What is the sales price of a TV at this store?
Answer:
$300
Step-by-step explanation:
Answer:
$300
Step-by-step explanation:
250 100
? 120
(250x120)/100
2x + 2y = 4 -x+ 2y = 4
Answer:
x = 0, y = 2
Step-by-step explanation:
We can use substitution method to substitute 2y into 2x + 2y = 4.
-x + 2y = 4
2y = 4 + x --- Equation 1
2x + 2y = 4 --- Equation 2
Substitute Equation 1 into Equation 2:
2x + 2y = 4
2x + 4 + x = 4
3x + 4 = 4
Isolate 3x.
3x = 4-4
= 0
Find x.
x = 0 ÷ 3
x = 0
Substitute x = 0 into Equation 1:
2y = 4 + x
2y = 4 + 0
= 4
Find y.
y = 4 ÷ 2
y = 2
write equation asap
Answer:
y = 4/3x - 4.5
Step-by-step explanation:
1) find the slope 4/3
2) find the y-intercept
3) done ------> y = 4/3x - 4.5
Answer:
(5,2)(-1,-6)
Step-by-step explanation:
-6-2/-1-5
-8/-6
=4/3
Y+1=4/3(x+6)
Y+1=4/3x+8
Y=4/3x+7
what is 20 percent of 90?
Answer:
18
Step-by-step explanation:
Find the midpoint of (0, 3) and (-4, 1).
Answer:
is there a page we can look at
Step-by-step explanation:
Mr. Jones used a fair spinner divided into 4 sections as shown below. They spun the spinner 50 times and recorded the results in the table. What is the difference between the theoretical and probability of spinning a 1 and the experimental recorded in the table?
Answer:
The theoretical probability would be 25% or 1/4 because there are four sections but in the example the probability of a one being spun was 24%
Step-by-step explanation:
In a survey of 2300 people who owned a certain type of car, 460 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
20%
Step-by-step explanation
let's assume 100% = 2300
x% = 460
100% / x% = 2300/460
460x100/2300 = 20
the answer is 20%
Answer:
The survey shows that 20% of the individuals were satisfied with the car.
Step-by-step explanation:
We are given that 2,300 people were surveyed.We are also given that 460 of those individuals would buy that car again.We need to find the percentage of individuals that were satisfied with the car.When we need to find the percentage of a population, we can use the following formula:
[tex]\displaystyle \frac{\text{part}}{\text{whole}} \times 100[/tex]We need to identify the part and the whole in this problem.
We are given that 2,300 people are surveyed, so this is the whole portion.
We are also given that 460 were satisfied, so this is the part portion.
Therefore, we can set up our fraction.
[tex]\displaystyle \frac{460}{2300}[/tex]Now, let's solve the percentage.
[tex]\displaystyle \frac{460}{2300} \times 100\\\\\frac{2}{100} \times 100 = 20\%[/tex]
Therefore, of those surveyed, 20% of the individuals were satisfied with the car.
283.65 + 85.3 =?
Find the sum?
Answer:
368.95
Step-by-step explanation:
⇒ Line up the decimal places to add the numbers:
283.65
+ 85.3
—————
⇒ 85.3 is the same as 85.30:
1
283.65
+ 85.30
—————
368.95
Answer: 368.95
Hope this helps! :)
Answer:
198.35
Step-by-step explanation:
283.65
085.3
_______________
198.35
A store is offering a discount on shorts of 23.4%.The original price of the shirt is $13.24.how much will you have to pay the clerk
Answer:
Step-by-step explanation:
Hi
Answer:
13.24
Step-by-step explanation:
Your buying a shirt not shorts
Find the diagonal of the box using the Pythagorean Theorem.
PLS HELP ASAP 50 POINTS PLEASE HELP ASAP PLEASEEE!!!! I NEED HELP ASAP
(Image Linked)
Answer:
26 cm
Step-by-step explanation:
Diagonal of the box using Pythagorean Theorem can be calculated using the formula:
a² + b² + c² = d²
Where,
d = diagonal of the box = ??
a = length = 24 cm
b = width = 8 cm
c = height = 6 cm
Plug in the value into the formula
24² + 8² + 6² = d²
576 + 64 + 36 = d²
676 = d²
√676 = d
d = 26 cm
5. If AABC = ADEF, find the measure of
Can someone explain me?
Answer:
Option A) angle B = 67°
Step-by-step explanation:
I'll use " [ " symbol for saying angle.
Alright so ...
since triangle ABC and triangle DEF are congruent
it means [ A = [ D
[ B = [ E
[ C = [ F
here [ A = 78° (which means [ D is also 78°)
and ..[ F = 35° (which means [ C is also 35°)
-->So now all you need to know to find [ B is to know the other two angles in the triangle. and thats where ..
you write.. [ A + [ B + [ C = 180° (angle sum property)
78° + [ B + 35° = 180°
113° + [ B = 180°
[ B = 180 - 113
= 67°
I hope that clears the concept , if you have any questions regarding it I'd love to help .
If mZMRT = 133º , then which equation can be used to find g?
Answer:
D
Step-by-step explanation:
We know that MRT = 133 which means that is the total. Angle MRN and NRT are what makes the total angle which is 133. To find what each angle is individually, we can add them both together.
(2g - 2) + (4q - 9) = 133
6q - 11 = 133
6q = 144
q = 24
Best of Luck!
D. (2g - 2)+(4g -9) = 133
Because,
Given, angle MRT = 133°
and MRN = 2g - 2 °
and NRT = 4g - 9°
and MRT = MRN + NRT .........(equation (i))
Placing values in equation (i) we get,
133° = (2g - 2)° + (4g - 9)°
=> 133 = (2g - 2) + (4g - 9)
=> (2g - 2) + (4g - 9) = 133
Please help now :)))
Answer:
c
Step-by-step explanation: there's 3 muffins for every 5 pizza pies and there's 9 which is 3 times the muffins and 15 which is 3 times the pizzas
n
Which number line shows the graph of x2 11?
6
7
8
9
10
11 12 13
14
6
7
8
9
10
11
12
13
14
6
7
8
9
10 11
12 13
14
6
7
8
9
10
11
12
13
14
Answer:
11
Step-by-step explanation:
The radius of a sphere is increasing at a constant rate of 7 feet per second. At the instant when the volume of the sphere is 274 cubic feet, what is the rate of change of the volume? The volume of a sphere can be found with the equation V=4/3π(r)^3. Round your answer to three decimal places.
Can anyone please help me with the last question I’m struggling!
The equation is x=-6
Step-by-step explanation:
In standard form the equation is y=4
And this is a horizontal line so the perpendicular line will be a vertical line of the form x=a
so that is why the equation is x=-6
Answer:
= -5
Step-by-step explanation:
Please helpp I’ll give brainleist
Answer:
87 for lo and om is 56
Step-by-step explanation:
Answer:
<LON= 98 Degrees
Step-by-step explanation:
180-55(2)=70
70+28=98
Find the 75th term of the following arithmetic sequence 16,25,34,43
Answer:
[tex]\boxed {\boxed {\sf 682}}[/tex]
Step-by-step explanation:
The nth term of an arithmetic sequence can be found using the following formula.
[tex]a_n=a+d(n-1)[/tex]
where a is the first term, d is the common difference, and n is the term.
First, we should find the common difference.
We can do this by subtracting each term from the term following it. Basically, subtract the first term from the second term, the second from the third, and so on.
[tex]d= a_2-a_1[/tex]
The second term is 25 and the first is 16.
[tex]d= 25-16[/tex]
[tex]d=9[/tex]
Now we know the common difference is 9. We also know the first term is 16 and we are looking for the 75th term.
[tex]d=9 \\a=16 \\n= 75[/tex]
Substitute the values into the formula.
[tex]a_{75}=16+9(75-1)[/tex]
Solve according the PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Solve the parentheses first.
[tex]a_{75}=16+9(74)[/tex]
Multiply next.
[tex]a_{75}=16+666[/tex]
Finally, add.
[tex]a_{75}=682[/tex]
The 75th term in the sequence is 682.
Is each expression equivalent to 6 * 53? Justify your reasoning.
a. 6 * 50 + 6* 3
b. 10 * 53 -4 53
c. 6 50 + 3
d. 6 * (50 + 3)
Answer:
a, b, d. Yes c. NoStep-by-step explanation:
a. 6 * 50 + 6* 3 = 6* ( 50 + 3) = 6* 53
Yesb. 10 * 53 -4*53 = (10 - 4)*53 = 6*53
Yesc. 6 * 50 + 3 = 303
Nod. 6 * (50 + 3) = 6*53
YesAnswer:
A, B, D = Yes
C = No
6 * 50 + 6* 3 = 6* ( 50 + 3) = 6* 53
10 * 53 -4*53 = (10 - 4)*53 = 6*53
6 * 50 + 3 = 303
6 * (50 + 3) = 6*53
find slope and y intercept 3x + 2y = -9
Answer:
Slope: -3/2 Y-intercept: (0, -9/2)
Step-by-step explanation:
~ Hope this helps ~
christian has six grades from tests and IXL. they are all weighted equally. if christian grades are 100,96,96,88,70 and 100, what is the current average grade (round to the nearest whole number)
Answer:
His average grade would be 91.6... (or 92% if you're rounding up)
Step-by-step explanation:
Add 100, 96, 96, 88, 70, and 100 to get 550, then divide by 6 because there are 6 total grades.
Determine the equation of the line passing through the point below having the corresponding
slope.
Point: ( - 25, -9)
Slope: m=1/5
Write your answer as an equation in the form
y = mx + b
Answer:
y=1/5x-4
Step-by-step explanation:
So, first we're gonna put this into point slope form, (y-y1)=m(x-x1), then we'll convert it. When you plug the numbers in, you get (y+9)=1/5(x+25)
Then, you simplify!
y= 1/5(x+25)-9
y=1/5x+5-9
y=1/5x-4
Hope this helped!
Seth has 2 ¾ candy bars to give away. If he gives each person ⅛ of a candy bar, how many people will get candy?
Answer:
22 people
Step-by-step explanation:
Change 2 3/4 into a fraction, 11/4.
Then divide by 1/8
11/4 x 8/1 = 22
For a school project, Max made a pyramid using 587 sugar cubes. On his way to school 34 of the sugar cubes fell off. When he got to school his friends took 18 more cubes off the pyramid to eat.
Estimate how many sugar cubes remain on Max's pyramid.
Answer:
535
Step-by-step explanation:
587-34-18=
535
Answer:
550
Step-by-step explanation:
just is the answer