The given initial-value problem is x(dy/dx)y = 2x + 1, y(1) = 9.
To solve this problem, we first rearrange the equation as (1/y) dy = (2/x + 1/x) dx. We can integrate both sides, which gives us ln|y| = 2ln|x| + ln|x| + b, where b is the constant of integration.
Simplifying this expression, we get ln|y| = 3ln|x| + b. Exponentiating both sides, we obtain |y| = eᵇ * x³. Since y(1) = 9, we substitute x = 1 and y = 9 into the equation, which gives us 9 = eᵇ * 1³, or b = ln 9. Therefore, the solution to the initial-value problem is y = ±9x³.
To solve this initial-value problem, we first rearranged the given equation to put it in a form that we can integrate. We then integrated both sides of the equation, introducing a constant of integration. By substituting the initial value of y, we were able to determine the value of the constant of integration and thus find the final solution to the initial-value problem.
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I need help with this question
Answer:
R=34
Step-by-step explanation:
As, pythoreon therom states = a2 + b2= c2
a= 16, 16^2 = 256
b= 30, 30^2 = 900
c2= 900+256
c2 = 1,156
c= 34
So, 16^2 + 30^2 = 34^2
4. Gabby makes banana bread at her bakery every Monday and Wednesday. Her
banana bread calls for the ratio of ingredients shown
5 cups of sugar for every 50 tablespoons of butter
80 tablespoons of butter for every 32 bananas
Answer:
Top row: 3 cups, 30 tablespoons, 12 bananas
Second row: 7 cups, 70 tbs, 28 bananas
Step-by-step explanation:
The ratio is 5 (sugar) : 50 (butter)...
You can make the unit rate: 1 cup of sugar: 10 tbs of butter
Since the other ratio is 80 tbs : 32 bananas...
1 tbs : .4 bananas
So...
3 cups : 30 tbs
30 tbs : 12 bananas
28 bananas : 70 tbs
70 tbs : 7 cups
Hope this helps!!!
need help with one question
Answer:
I think it's x=-4
Step-by-step explanation:
3x= -12
x= -4
The sum of two numbers is 15. Four times the smaller number is 60 less than twice the larger number. What is the larger number?
Answer:
just put the words into math:
x+y=15
4x = 2y-60
Now just solve the system for y.
The resale value of a certain car when purchased new is $20,000. The car is expected to lose 10% of its value each year.
Which graph shows the predicted value of the car over time?
HELPPPP I’M GIVING 18 points ASAP
The graph that shows the predicted value of the car over time is the
a. Red graph, 1
b. Blue graph, g
c. Green graph, h
d. Orange graph, k
This makes sense because it’s y-intercept is at
a. 10,000
b. 20,000
And it
a. Increases
b. Decreases
Answer:
The red graph. y intercept is at 20k and is decreasing
Karl wants to rent a bike for at most $55. He can rent a bike for $7 per hour plus a $9.50 flat fee. Any portion of an hour is charged as a full hour. What is the maximum number of hours Karl can rent the bike?
Which inequality is equivalent to -m ≥ 15?
A. m ≥ 15
B. m ≥ -15
C. m ≤ -15
D. m ≤ 15
Answer:
b I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
To solve this equation, since m is negative you need to get rid of that negative by dividing each side by -1. this will leave m and make 15, -15. so the equation will be c, m is less than or equal to -15.
A program was created to randomly choose customers at a shoe store to receive a discount. The program claims 15% of the receipts will get a discount in the long run. The manager of the shoe store is skeptical and believes the program's calculations are incorrect. She selects a random sample and finds that 12% received the discount. The confidence interval is 0.12 ± 0.05 with all conditions for inference met.
Part A: Using the given confidence interval, is it statistically evident that the program is not working? Explain.
Part B: Is it statistically evident from the confidence interval that the program creates the discount with a 0.15 probability? Explain.
Part C: Another random sample of receipts is taken. This sample is six times the size of the original. Twelve percent of the receipts in the second sample received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval?
Part D: Using the margin of error from the second sample in part C, is the program working as planned? Explain.
Answer:
A: There is no statistical evidence that the program is not working as intended because 0.15 is between the range of 0.12 ± 0.05 = (0.07,0.17)
B: 0.15 is between the range of (0.07,0.17) so it is statistically probable.
C: margin of error=0.05/((6)^(1/2))=0.0204
D: No the program is not working as planned because 0.15 is not within the range of 0.12±0.0204=(0.0996,0.1404)
Step-by-step explanation:
Within the answer. please tell me if I am wrong
Find the slope of the line that passes through (1, 1) and (-3, -5)
Answer:
3/2
Step-by-step explanation:
(1,1) and (-3,-5)
[tex]\frac{-5-1}{-3-1}[/tex]
Above is the difference of teh y values divided by the difference of x values
we get -6/-4 which is 3/2
Which of the following angles is corresponding with <5
2
7
8
4
Answer:
<7
Step-by-step explanation:
<5 and <7 are cut by the same transversal, so that should be the answer!
Hope that helps!
Please help me !!!!!
Answer:
just don't answer that
Step-by-step explanation:
cause I don't know what is the answer
Find the area of the figure.
(Sides meet at right angles.)
6 cm
2 cm
2 cm
2 cm
2 cm
2 cm
2 cm
2 cm
Answer:
paso a paso
Step-by-step explanation:
tienes que saber cuanto bale o la equivalencia de cm 10 haci que
tienes que multiplicar 5 x10 igual con los de mas si te sirvio apoyame plsssss
If flx) = 2x – 6 and g(x) = x-2x?, find each value.
Answer:
The question is not correct. you have two linear functions. do you want to know their intersection point?
Step-by-step explanation:
[tex]f(x)=2x-6\\[/tex]
[tex]2x-6=0[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2} =\frac{6}{2\\}[/tex]
x=3
Then you just plug into g(x)
[tex]g(x)=x-2x[/tex]
[tex]g(x)=3-2(3)\\[/tex]
[tex]g(x)= 3-6[/tex]
So,
f(x)=3
g(x)=-3
PLEASE HELP Find the product of( -3-2i ) and it’s conjugate.
Find the measure of this angle in the triangle.
Answer:
the angle measures 85 degrees
i need help urgently lease :D
Answer:
y=4
-2y=8
y=8/2
xndnndndnd
The graph below is the graph of a function.
True or False??
Answer:
mmmmmmmm I wanna say it's false. like almost positive
HELPPPPPP
Keisha is working to complete her summer reading in one week so she can relax for the remainder of the summer. She read (2x2 + 5x – 3) pages on Monday, (5x – 3) pages on Tuesday, and (6x2+ 2) pages on Wednesday. How many pages did she read in three days?
Answer:
(8x² + 10x -4) pages
Step-by-step explanation:
2x² + 5x – 3 + 5x – 3 + 6x²+ 2
2x² +6x² +5x +5x -3-3+2
8x² + 10x -4
Find the value of each trigonometric ratio. Write your answer as a fraction in simplest form. (Example: If the answer is one-half, type 1/2.)
The value of each Trigonometric ratio in a right angle triangle given are; sin X = 4/5 and cos C = 40/41
How to express Trigonometric Ratios?From the attached image, we can see the triangles to find the trigonometric ratios.
Now, the formula for sin and cos in a right angle triangle is;
sin = opposite/hypotenuse
cos = adjacent/hypotenuse.
Thus;
1) sin X = 32/40 = 4/5
2) cos C = 40/41
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Three people attend a concert for $155. Ten attend the same concert for $470. Find the rate of change.
Answer: 45
Step-by-step explanation:
3 attend for $155 ($51.67 a piece)
10 attend for $470 ($47 a piece)
7 more attend/ adds $315
45 is the rate of change
Four times a number is greater than 48
Answer:
12
Step-by-step explanation:
Answer:
4x>48
x>12ans.this is the correct answer
1. The surface area of a cube whose edges have lengths of 5 inches each is equal to which of the
following?
(1) 25 square inches
(2) 75 square inches
(3) 125 square inches
(4) 150 square inches
5 in
5 in
5 in
Answer:
150 square inches
Step-by-step explanation:
TSA=6a^2
6*5*5
is 150 square inches
I NEED HELP WITH THIS ASAP!!!!
Lillian is in the business of manufacturing phones.
She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor.
Let CC represent the total cost, in dollars, of producing pp phones in a given day.
The table below has select values showing the linear relationship between pp and C.C.
Determine the fixed cost for rent and equipment.
P C
2 1200
4 1600
6 2000
Answer:
it's 4,1600
Step-by-step explanation:
I hope my answer can help you
Solve for z.
2
39z+ 17z = 0
Answer:
Z = 0
Step-by-step explanation:
Z is 0 because there’s no other possible solutions
Ashley practiced the piano for 41 minutes. She practiced 13 minutes less than(means subtraction) her brother did. Write and solve an equation to determine how long her brother practiced the piano.(identify the question)
Answer:
b-13=41
Step-by-step explanation:
Let b stand for the total number of minutes he practiced for. Subtracting 13 from it gets us Ashley's 41, so the equation can be b-13=41.
PLS HEL P ASAP NOT THAT HARD!! CONVERT TO ENTIRE RADICAL FORM
ven a chuparme el huevo
Theo wants to use a cookie recipe
that makes 36 cookies, but he wants
to increase the number of cookies to
54. If the recipe calls for 2 cups
of sugar, how much sugar should
he use?
Answer:
1
1
3
cups
Explanation:
This is a ratio question. If we are comparing the ratios, we could say
24
36
=
x
2
where x = the amount of sugar to make 24 cookies.
We can multiply both sides by 2 to cancel the 2 on the right, making
24
(
2
)
36
=
x
.
Simplify this and we get
48
36
and eventually
4
3
or
1
1
3
.
Step-by-step explanation:
the question is in the picture. it’s math.
Answer:
Step-by-step explanation:
1). (8x - 49)° = (5x + 23)°
8x - 49 = 5x + 23
3x = 72
x = 24
2). m∠VST + m∠SVU = 180°
(5(24) + 23)° + m∠SVU = 180°
m∠SVU = 180° - 143°
m∠SVU = 37°
m∠SVT = 37° - 20° = 17°
Jake needs more than 1 3/5 cups of flour to make cupcakes. Which is greater than 1 3/5? A) 8/5 B) 1 3/4 C) 1 2/5 D 1 3/8
Answer:
C) 1 3/4
Step-by-step explanation:
A) 1 3/5=1 12/20
B) 8/5=32/20=1 12/20
C) 1 3/4=1 15/20
D) 1 3/8=less than 1 3/4
Answer: Choice B) 1 & 3/4
============================================================
Work Shown:
Convert each fraction or mixed number into its equivalent decimal form. Use a calculator or long division.
1 & 3/5 = 1 + 3/5 = 1+0.6 = 1.68/5 = 1.61 & 3/4 = 1 + 3/4 = 1 + 0.75 = 1.751 & 3/8 = 1 + 3/8 = 1 + 0.375 = 1.375The decimal value 1.75 is larger than 1.6, so this shows that 1 & 3/4 is larger than 1 & 3/5
Juan cuts a piece of rope that is 16 meter long into 2 equal pieces.
What is the length of each shorter piece of rope?
Enter your answer as a fraction in simplest form by filling in the boxes