(a) On the axes provided, sketch a slope field for the given differential equation at the 9 points indicated.
Answers
A slope field for the given differential equation dy/dx = xy/2 at the 9 points indicated is shown below.
We know that a slope field represents the slope of a differential equation at certain vertical and horizontal intervals on the coordinate plane.
First we construct a table which contains the values of slope.
Consider given differential equation dy/dx = xy/2
where -1 ≤ x ≤ 1,
1 ≤ y ≤ 3
Let the slope be m
so, dy/dx = m
For x = -1, y = 1
m = (-1 × 1)/2
= -1/2
For x = -1, y = 2
m = (-1 × 2)/2
= -1
For x = -1, y = 3
m = (-1 × 3)/2
= -3/2
For x = 0, y = 1
m = (0 × 1)/2
= 0
For x = 0, y =2
m = (0 × 2)/2
= 0
For x = 0, y = 3
m = (0 × 1)/2
= 0
For x = 1, y = 1
m = (1 × 1)/2
= 1/2
For x = 1, y = 2
m = (1 × 2)/2
= 1
For x = 1, y = 3
m = (1 × 3)/2
= 3/2
So, the table is:
x/y 1 2 3
-1 -1/2 -1 -3/2
0 0 0 0
1 1/2 1 3/2
Therefore, the slope field is as shown below.
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Related Questions
A triangle has side lengths of 3x, 24, and 5x. The side with 5x is the longest side. What value of x would make a right triangle?
Answers
Answer:
To form a right triangle, one of the sides of the triangle must be the hypotenuse and the other two sides must be the legs. The hypotenuse is the longest side of a right triangle and the side opposite the right angle. In this case, the side with length 5x is the hypotenuse. Therefore, the sides with lengths 3x and 24 must be the legs.
We can use the Pythagorean Theorem to determine the value of x that will make this a right triangle. The Pythagorean Theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we have:
5x^2 = 3x^2 + 24^2
Solving for x, we get:
x = sqrt(24^2/(5^2 - 3^2)) = sqrt(576/16) = 6
Therefore, a value of x = 6 will make this a right triangle.
Step-by-step explanation:
Peter drove at an average speed of 120 km/h for 3 1/2 hours. If he has increased his speed by 20 km/h, how much time would he have saved?
Answers
Help with this equation plzz
Answers
Answer:
option C I think
Step-by-step explanation:
I remember learning about this last year
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x - 2 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (4, - 7) into the partial equation
- 7 = - 12 + c ⇒ c = - 7 + 12 = 5
y = - 3x + 5 → D
Which expression is equivalent to 2. 2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m)?
Answers
2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m) is equivalent to 2.2m² + 11.3m - 8.7
The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f. (x). The roots of the quadratic equation are the values of x that fulfill the equation (, ).
It is a given that the quadratic equation has two roots. Roots might have either a true or made-up nature.
2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m) is equivalent to 2.2m² - 3.5(4m- 1.4) + 3.6(8m -4.5m) which is equivalent to 2.2m² - 14m + 4.9 + 25.2m - 12.6m which is equivalent to 2.2m² + 11.3m - 8.7
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Find the area of the irregular polygon?
Answers
Answer:
4 x 12 = 48, 48 divided by 2 = 24
8 x 12 = 96
96 + 24 = 120 ft^2
Answer:
Step-by-step explanation:
so do 4*8 and then do how ever many you get from 4*8 and add that to get your aswer wich would be
4*8=32
32+12 =44
Help me what’s for life or death
Answers
Answer:
the answer is 6x but i dont know about no starting point or multiplier sorry
Step-by-step explanation:
Mhanifa please help this is due soon
Answers
Answer:
Step-by-step explanation:
Geometric mean = 7.3
Answer:
#1This is the isosceles right triangle as one of the angles is 45°.
The second leg is same as the first and the hypotenuse is √2 times the leg.
x = 5√2y = 5#2This is the 30°x60°x90° triangle and the ratio of sides is:
1 : √3 : 2Since the hypotenuse is 16, the other sides are:
y = 16/2 = 8x = 8√3#3Geometric mean of two numbers is the square root of their product.
√9*6 = √54 = 7.3 (rounded)Correct choice is C
How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2
Answers
On solving the provided question, we can say that 12,12,12,22,23,32,43 Mean Absolute Deviation (MAD): 8.8979591836735
what is mean absolute deviation?The average of the absolute deviations from the center point within a dataset is called the mean absolute deviation. This statistic summarizes the statistical spread or variability. Each data point's average distance from the mean is known as the dataset's mean absolute deviation. This gives a sense of the dataset's variability. To determine the absolute value, take the mean from each integer in the dataset and then subtraction. Take the total of the absolute values next. Subtract the aforementioned sum from the total number of items in the dataset to obtain the mean absolute deviation.
12,12,12,22,23,32,43
Mean Absolute Deviation (MAD): 8.8979591836735
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Answer:
On solving the provided question, we can say that 12,12,12,22,23,32,43 Mean Absolute Deviation (MAD): 8.8979591836735
Step-by-step explanation:
$4000.00 investment. Over 3 years $1080.00 interest accumulated. What was the interest on the loan? The interest is shown in percent as the answer.
Answers
Answer:
9% interest rate
Step-by-step explanation:
Investment = principal = $4000
Interest amount = $1080
Period, t = 3 years
Simple interest = principal * rate * time
1080 = 4000 * rate * 3
1080 = 12000 * rate
Rate = 1080 / 12000
Rate = 0.09
The rate as a percentage = 0.09 * 100% = 9%
Charles uses a graphing calculator to find a quadratic regression model f for a given set of data. When he compares model f to an earlier regression model g for the same data, he determines that g more accurately models the data. Which of the following statements are true? Select all that apply.
A. Function f likely had fewer residuals near the x-axis than function g.
B. Function f likely had more residuals equal to 0 than function g.
C. Function g had more residuals near the y-axis than function f.
Answers
Answer:
C
Step-by-step explanation:
a is wrong because residuals are solved using y and not x
b is wrong because a residual closer to 0 would be more accurate, but f is less accurate than g
c is right because residuals are solved using y and a more accurate residual would be closer to the real answer's y value
hope this helped ^_^
Please help no links explain to
Answers
Answer:
43 degrees i think............
If Point B represents an alternate combination of flutternutters & blank books, then how much of each product could be produced?
Answers
From the given graph, at Point B a total of 8000 fluffernutters & 500 blank books could be produced.
The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. In this context, a graph is made up of vertices connected by edges.
In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to linked and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other forms of graphs.
Straight line graphs called linear graphs are used to show the relationship between two quantities. This graph makes it easier to show a result as a collection of straight lines. The term "linear" simply means a straight line; curves, dots, bars, etc. are not used.
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Number 7 says find the measure of the angle indicated I could fit the question in with it! If you could help!
Answers
The measure of angle E if The measure of angles is 2x + 13, 11x - 6 and 89°, is 37°.
What is the angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
Given:
The measure of angles is 2x + 13, 11x - 6 and 89°,
Use the exterior angle theorem and find the value of x as shown below,
2x + 13 + 89 = 11x - 6
2x + 102 = 11x - 6
9x = 108
x = 12
Thus, the measure of ∠ E = 2 × 12 + 13
∠ E = 24 + 13
∠ E = 37°
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Please give a real answer. What is the surface area of this composite figure?
Answers
Answer:
[tex]\huge \boxed{SA=294cm^2}[/tex]
Step-by-step explanation:
[tex]SA=(6*7)+(6*7)+2[6*4/2]+4(6)+(6*6)[/tex][tex]168+42+24+24+36[/tex][tex]SA=294 cm^2[/tex][tex]-------------[/tex]
hope it helps..
have a great day!!
I’ll give brainliest
Answers
Answer:
I think is would be 32√
Kara Paid 24.64$ to ship 11 packages. Each package has the same size and weight. How much did it cost to ship 1 package?
Answers
Answer:
2.24$
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!
Answers
Hi there!
[tex]\large\boxed{t = 12.60 \text{ days}}[/tex]
We can solve this by setting the equation equal to 150:
[tex]150 = \frac{230}{1 + 56.5e^-0.37t}[/tex]
Cross-multiply and divide:
[tex]150 (1 + 56.5e^{-0.37t})= 230[/tex]
Divide both sides by 150:
[tex]1 + 56.5e^{-0.37t} = 1.5333[/tex]
Isolate for t by subtracting both sides by 1 and dividing by 56.5:
[tex]56.5e^{-0.37t} = 0.5333[/tex]
[tex]e^{-0.37t} = 0.0094395[/tex]
Take the natural log to solve for t:
[tex]ln (0.0094395) = -0.37t[/tex]
[tex]-4.6628522 = -0.37t[/tex]
Divide both sides by -0.37:
t = 12.60 days.
Each of Frank's notebooks is 2/5 inches wide. If he has 10 inches of space remaining on his bookshelf, how many notebooks will fit
Answers
We can fit 25 notebooks on the space.
Now, According to the question:
The width of the notebook is 2/5
The length of the space is 10 inches.
To find the number of the notebooks can put there divide 30 by 2/3
Number of the books : [tex]\frac{10}{\frac{2}{5} }[/tex] = 10 × [tex]\frac{5}{2}[/tex]
=> 50/2 = 25
The number of the notebook is 25
We can fit 25 notebooks on the space.
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Denise's cell phone plan is $29.95 per month plus $0.10 per minute of call time. Denise's
cell phone bill is $99.95. For how many minutes was she billed?
Answers
Answer:
700 minutes
Step-by-step explanation:
Let y represent the cost and x represent the number of minutes of call time
We have the equation
99.95 = 0.10x + 29.95
Now let's solve
99.95 = 0.10x + 29.95
70 = 0.10x
x = 700 minutes
So, she was billed for 700 minutes
If you can, please give me a Brainliest; thank you!
Need help with this, finding the length of the third side
Answers
Answer:
its sqrt (50)
Step-by-step explanation:
The triangle has a right angle, therefore we can use the Pythagorean theorem to find the hypotenuse. According to the theorem the sum of the squares of both other sides is equal to the square of the hypotenuse.
We have 5^2+5^2=c^2
=> 25+25=c^2
=> 50=c^2
Therefore c or the missing side is equal to sqrt(50)
One line passes through the points (-4, 2) and (0, 3); another line passes through the points
(-3,-2) and (3, 2). Are these lines parallel, intersecting, perpendicular, or identical?
Answers
Answer:
how are you working on a saturday night?
Step-by-step explanation:
What is the smallest natural number value
for n if the solution for √56n is also a
natural number?
Answers
Answer:
2√14
Step-by-step explanation:
√56 = √4 × √14
which is
2√14
Write an equation in terms of x that represents the given statement.
Four increased by three times a number is 34
Answers
Answer: 3x+4=34
Step-by-step explanation: let the number be x
A.T.Q
the number is 3 times i.e 3x
4 increase=3x+4.
and it says the equation is equal to 34.
3x+4=34
Thomas goes to school from 7:40 AM until 2:05 PM.
Part A: How many minutes does Thomas have in a school day?
Write an expression that could help you find out how many seconds are in his school day.
Answers
Answer:
part A: 6:25
Step-by-step explanation:
Answer: 385 min. and part b multiply 385 by 60
Step-by-step explanation:
you are welcome
Answe num 3 and 4 plz and thx
Answers
Answer:
41 1/4 and 15
Step-by-step explanation:
So for the first question, we know that a single inch of thread has 16 1/2 bolts. We know that there are 2 1/2 inches of thread.
To find the total anount of bolts in the thread, we can multiply 2 1/2 by 16 1/2:
2 1/1*16 1/2 = 41 1/4
That is our first answer.
For our next answer, we know that a book is 1 7/8 inches big.
The bookshelf is 28 1/8 inches big.
To find how many of the 1 7/8 inch big books can fit in the 28 1/8 inch big bookshelf, we can divide 28 1/8 by 1 7/8:
28 1/8/1 7/8
=
15
So our 2nd answer is 15.
Hope this helps!
when journalizing an accounts payable account what account is credited
a. it depends on the transaction
b. accounts payable
c. cash
d. accounts receivable
Answers
Answer:
cash
Step-by-step explanation:
debit - account payable
credit - cash
Pls answer asap I’m literally stumped it’s not that hard tho
Answers
Answer:
[tex]d=11.3125[/tex]
Step-by-step explanation:
Given
[tex]\frac{-4(-8.625+2d)}{-8} +3=10[/tex]
Lets solve for [tex]d.[/tex]
Start on the left side with the fraction.
Factor -4 out of -8.
[tex]\frac{-4(-8.625+2d)}{-4(2)} +3=10[/tex]
Cancel the common factor of -4.
[tex]\frac{-8.625+2d}{2} +3=10[/tex]
Subtract 3 from both sides.
[tex]\frac{-8.625+2d}{2} =7[/tex]
Multiply both sides by 2.
[tex]\frac{-8.625+2d}{2} *2=14[/tex]
Cancel the common factor of 2.
[tex]-8.625+2d=14[/tex]
[tex]2d-8.625=14[/tex]
Add 8.625 to both sides.
[tex]2d=22.625[/tex]
Divide both sides by 2.
[tex]d=11.3125[/tex]
Find surface area of the prism.
4m, 18m, 5m
Answers
Answer:
hi you answer to your question could be 360m². hope this helps
Answer:
364
Step-by-step explanation:
A profit of $28 is more than a profit of $18. True or false
Answers
Sorry if it’s wrong
Look at the box-and-whisker plot. What is the measure of the first quartile (Q1)?
A: 43.5
B: 50.0
C: 41.5
D: 47.5
PLEASE HELP I AM IN A HURRY !!!!!!!
Answers
Answer:
A
Step-by-step explanation:
2021 EDG
Answer:
A) 43.5
Step-by-step explanation: