Find the general solution of the following differential equation
dy/dx=(1+x^2)(1+y^2)

Step-by-step explanation:

What notes are you speaking of?

Answer:

well it looks like as each week is going by the puppy is gaining less weight cause at first 5 is added and then 4 so maybe the next week 3 is added

Answer:

Yes, the relationship is proportional.

Step-by-step explanation:

So if you don't understand what proportional means, it means corresponding, the same, equal.

So when you look at a graph like this then ask yourself this, "is x a multiple of y?"

For example: Is 2 a multiple of 4? Yes! It is! That makes it proportional.

Is 3 a multiple of 9? Yes it is! 3, 6, 9.

Is 4 a multiple of 12? It is 4, 8, 12

The initial population of the bacteria culture is 200 bacteria.

The initial population of the bacteria culture can be determined using the equation for exponential growth: P(t)=P0(1+rt), where P(t) is the population after time t, P0 is the initial population, and r is the relative growth rate.

In this case, after 2 hours, the population is 600 and after 8 hours the population is 75,000. Plugging in the values, we get P0 = 600/(1+2*r), or P0 = 600/3. Thus, the initial population of the bacteria culture is 600/3 = 200 bacteria.

Exponential growth is a function of time and rate of growth. It is often used to model population growth or decay, such as in this case. The equation for exponential growth states that the population at any time is equal to the initial population multiplied by the rate of growth at each unit of time.

In this case, the rate of growth (r) is constant over the time period, so the population can be determined by putting in the values for P(t) and P0 and solving for r. Then, using the same equation, the initial population (P0) can be determined.

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Answer:

Step-by-step explanation:

lim x -> +oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)

+oo(-2 + 0 + 0 + 0)

-oo

lim x -> -oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)

-oo(-2 + 0 + 0 + 0)

+oo

Suppose we fix a tree 1. The descendent relation on the nodes of T is a strict partial order. So the option d is correct.

The descendent relation on the nodes of a tree T is a strict partial order if, for any two nodes x and y in T, either x is a descendent of y, y is a descendent of x, or neither x nor y is a descendent of the other.

This means that for any two nodes x and y, either x is a parent node, a grandparent node, etc. of y, or y is a parent node, a grandparent node, etc. of x, or neither x nor y is related in any way.

The descendent relation is a strict partial order because it is a partial order (it is reflexive, antisymmetric, and transitive) and it is also strict (neither x nor y can be a descendent of the other). So the option d is correct.

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The number of special necklaces that she can produce, using proportions, is obtained as follows:

4.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations to find the desired amounts in whichever context of a problem.

The requirements for each special necklace are listed as follows, from the problem:

The amounts purchased are given as follows:

The amount of round beads purchased is enough for:

30/4 = 7.5 special necklaces.

The amount of cube beads purchased is enough for:

24/5 = 4.8 special necklaces.

Hence the number of special necklaces that she can make is of:

4.

Because:

The complete problem is given by the image shown at the end of the answer.

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Answer:

yes, if AB ≅ DE

Step-by-step explanation:

Triangles are said to be congruent if they have the same sides and the same angles.

The following measures are used to determine if triangles are congruent:

1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.

2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.

3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.

4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.

From the triangles  DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.

To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent

Answer:

D). no, because the hypotenuses must have different lengths

Step-by-step explanation:

I just did the assignment on Edge and it's 100% correct.

Hope this helps!! Also heart and rate if you found this answer helpful!!  :)

Answer:

C

Step-by-step explanation:

Answer:

8,333.312

Step-by-step explanation:

I did the test...

For test statistic: 1. Yes 2. Optimistic or pessimistic 3. Frequency of recycling per month 4. Two tail hypothesis 5. NA 6. Critical value is 2.00 7. Without knowing sample sizes can't get t-value 8. Decision undetermined 9. NA 10. NA

1. Yes, this is a quasi-experimental design because participants are not randomly assigned to groups.

2. The independent variable in this study is the attitude towards eco-friendly behaviors (optimistic or pessimistic).

3. The dependent variable in this study is the frequency of recycling per month.

4. This is a two-tail hypothesis because we are testing whether there is a difference in recycling behaviors between the two groups, not specifically whether one group recycles more or less than the other.

5. NA, since this is a two-tail hypothesis.

6. The critical value for this t-test at a .05 level of significance with a two-tail hypothesis and using a t-table can be found. Since we don't know the degrees of freedom, let's assume a large sample size (e.g., df = 60). In this case, the critical value would be ±2.00.

7. To calculate the test statistic (t-value) for this test, follow these steps:
 a. Calculate the difference between the means (M1 - M2): 2.9 - 6.8 = -3.9
 b. Calculate the pooled variance: \([(SD1^2 / n1) + (SD2^2 / n2)]\)
 c. Take the square root of the pooled variance: sqrt(pooled variance)
 d. Divide the difference between means by the result from step c: (-3.9) / sqrt(pooled variance)
 Without knowing the sample sizes (n1 and n2), we cannot calculate the exact t-value.

8. Given that we cannot compute the exact t-value without sample sizes, the decision for this test cannot be determined.

9. NA, since we cannot determine the significance of the test without the test statistic.

10. NA, since we cannot compute the effect size without the test statistic.

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The sample space for the given experiment is

{ (r,r) , (r,g) , (r,b)

  (g,r) , (g,g) ,(g,b)

  (b,r) , (b,g) , (b,b)}

A sample space is a set of potential results from a random experiment. Events are the subset of possible experiment results. An event is set of possible outcomes.

The die consists of 3 different colors namely red, green and blue

Here, the number of variables is 3 i.e red, green and blue.

The subset will contain

= \(2^{3}\)

=8 elements.

The red color is indicated by 'r'

The green color is indicated by 'g'

The blue color is indicated by 'b'

The events that can appear in a single roll is r, b or g.

Sample space for the next 2 rolls

={ (r,r) , (r,g) , (r,b)

  (g,r) , (g,g) ,(g,b)

  (b,r) , (b,g) , (b,b)}

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Answer:

14+9 14×9that is the answer

Answer:

3

Step-by-step explanation:

25.5-9.5=16

16-15=1 (highest multiple of 5 that fits into 16)

He can buy 3 cds and he will have $1 left over

Answer:

Step-by-step explanation:

Given , x = 7

let's find :

\( \sf{5 - 3(x - 1)}\)

Plug the value of x

⇒\( \sf{5 - 3(7 - 1)}\)

Subtract 1 from 7

⇒\( \sf{5 - 3 \times 6}\)

Multiply the numbers

⇒\( \sf{5 - 18}\)

Calculate

⇒\( \sf{ - 13}\)

Hope I helped!

Best regards!!

The value of 5-3(x-1) when x=7 is -13.

Evaluation is nothing but to solve an algebraic expression means to find the value of an expression by replacing the value of the variable in it.

To evaluate the expression value, we simply substitute the variable from its given value and simplify the expression by using order of operations.  

In our case, the given expression is:

5-3(x-1)

Substitute the given number i.e., 7 for the variable in the expression:

5-3(7-1)

Solve the bracket first:

5-3(6)

Now solve the multiplication part:

5 - 18

Finally Subtract 5 from -18, we get:

-13

Hence the final value of the expression is -13 at x=7.

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Since the slope of the soil line is a quarter of an inch per foot and the drainage line is 50 feet long, then the difference in elevation is:

Simplifying the above expression we get:

Recall that:

Therefore:

Answer: 12.5 inches= 1.04 feet.

The correct APA style for the statistical conclusion that Dr. Tebbetts should make is option B. z(N=50) = 2.27, p > .05.

Here's why:

Dr. Tebbetts is testing whether the mean creativity score of people who read fantasy novels is significantly different from the established average of 25 on the Alternate Uses Test. He gathered a sample of 50 participants and found that their mean creativity score was 33.

Since the population standard deviation is known, we can use a z-test to test the hypothesis.

The formula for the z-test is:

z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))

Substituting the values given in the problem, we get:

z = (33 - 25) / (10 / sqrt(50))

z = 2.83

The critical value of z for a two-tailed test at alpha level 0.05 is 1.96. Since our calculated z-value is greater than the critical value, we reject the null hypothesis and conclude that people who read fantasy novels have higher personal creativity as measured by the Alternate Uses Test.

The correct APA style for reporting this conclusion is:

z(N=50) = 2.27, p > .05, indicating that people who read fantasy novels have significantly higher personal creativity as measured by the Alternate Uses Test compared to the established average.

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Using trigonometric identities, we can solve the equation cos(20°) + cos(θ) = 0 exactly for θ in the range of 0° to 360°. The solutions to the equation are θ = 160° and θ = 200°.

To solve the equation cos(20°) + cos(θ) = 0, we can use the trigonometric identity:

cos(A) + cos(B) = 2 cos((A + B)/2) cos((A - B)/2)

Applying this identity to our equation, we have:

2 cos((20° + θ)/2) cos((20° - θ)/2) = 0

For the product of two numbers to be zero, at least one of the numbers must be zero. Therefore, we have two cases:

cos((20° + θ)/2) = 0

Solving this equation, we find:

(20° + θ)/2 = 90° + 180°n, where n is an integer

Simplifying, we get:

20° + θ = 180° + 360°n

θ = 160° + 360°n

cos((20° - θ)/2) = 0

Solving this equation, we find:

(20° - θ)/2 = 90° + 180°n, where n is an integer

Simplifying, we get:

20° - θ = 180° + 360°n

θ = 200° + 360°n

Therefore, the solutions to the equation cos(20°) + cos(θ) = 0, within the range of 0° to 360°, are θ = 160° and θ = 200°.

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Answer:

a.

radius [r]=breadth[b]=4in

length [l]=7in

now

[C]area 1/4 th circle +area of 1/4th circle= semi circle =1/2×πr²h=1/2×π×4²=8πin²=25.13in²

area of rectangle [A]=l×b=7×4=28in²

total area =A+C=28in²+25.13in²=53.13in²

Step-by-step explanation:

b.

height [h] of triangle =12-4=8cm

base[b] of triangle= 12-3.5-3.5=5cm

area of triangle [A]=1/2×b×h=½×8×5=20cm²

again

length of square [L]=12cm

area of square [S]=L²=12²=144cm²

Area of shaded region=S-A=144-20=124cm²

The expected gain or loss of an experiment over the long run is called the expected value.

The expected value is the weighted average of all possible outcomes, where the weights are the probabilities of those outcomes occurring. It is calculated by multiplying each possible outcome by its probability of occurring and then adding up these products. The expected value can be used to make decisions and assess risk in various fields, including finance, economics, and gambling. If the expected value is positive, it means that, on average, the experiment will result in a gain, while a negative expected value indicates a loss.

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Step-by-step explanation:

They can be found by considering where the second derivative changes signs. In similar to critical points in the first derivative, inflection points will occur when the second derivative is either zero or undefined.

make me brainlist

Answer:

The product of the place values of 2 is 40000.

Step-by-step explanation:

To find the place value of digits:

Now we solve the given problem:

The given number is 4,72,523​

In this number, there are 2 in two places -

Therefore the product of the place values of 2 is

20 × 2000

= 40000

The statement "Just because there seems to be a linear relationship between an X and a Y, does not mean that Y is affected or influences by X" is false.

If there is a linear relationship between two variables X and Y, it means that changes in X are associated with changes in Y. This association can be positive, meaning that as X increases, Y also tends to increase, or negative, meaning that as X increases, Y tends to decrease.

However, it is important to note that a linear relationship does not necessarily imply causation. Just because two variables are linearly related, it does not necessarily mean that one variable is affecting or influencing the other. There could be other factors or variables that are affecting both X and Y, or the relationship could be spurious, meaning that the association is due to chance or some other factor that is not related to the variables in question.

Therefore, while a linear relationship is an important indicator of association between two variables, it does not necessarily imply causality or a direct influence between them. Additional research and analysis are often needed to establish the nature and direction of the relationship and to identify any possible underlying causes or factors.

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Answer:

slope=1

y-intercept=10

linear equation is y =x+10

Step-by-step explanation: to find slope take 2 points (0,10) and (2,12) as (x1,y1) and (x2,y2) respectively. Using slope formula(y2-y1/x2-x1) we get (12-10)/(2-0) which simplifies to 2/2 which is 1. y-intercept is the point where x is 0, then y is a number called y-intercept. And in the table when x=0 ,y=10 therefore 10nis the y-intercept. As for the linear equation, y=mx+b it simply is y=slope×x +y-intercept, from the previous question we can say y=1x+10 ( in math its better if the coefficient of x is 1 we can just say x) which is y=x+10.

Answer:

x=4

Step-by-step explanation:

We can use the leg rule

hyp          leg

------- =  -----------------

leg            part

2+6          x

------- =  -----------------

x            2

Using cross products

8*2 = x^2

16 =x^2

Take the square root of each side

4 =x

A correlation is a statistical relationship between two variables, such that knowing one of the variables makes it possible to predict the other.

A correlation can be defined as the relationship that exists between two variables when one of them is related to the other in some way.

It is also a measure that expresses the extent to which two variables are closely or linearly related which entails that they change together at a constant time.

Hence, correlation is a statistical relationship between two variables, such that knowing one of the variables makes it possible to predict the other.

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Answer:

see explanation

Step-by-step explanation:

2x² - 7 = 9 ( add 7 to both sides )

2x² = 16 ( divide both sides by 2 )

x² = 8 ( take square root of both sides )

x = ± \(\sqrt{8}\) ← exact values

This method is useful when there are only numeric values to deal with

The integer that makes the inequality 3(n − 6) < 2(n + 12) false is

The integer that makes the inequality false is solved by substituting the values and solving the inequality

3(n − 6) < 2(n + 12)

for n = -5

substituting the value of n

3(-5 − 6) < 2(-5 + 12)

= -33 < 14

3(n − 6) < 2(n + 12)

for n = 3

substituting the value of n

3(3 − 6) < 2(3 + 12)

= -9 < 30

3(n − 6) < 2(n + 12)

for n = 12

substituting the value of n

3(12 − 6) < 2(12 + 12)

= 18 < 48

3(n − 6) < 2(n + 12)

for n = 42

substituting the value of n

3(42 − 6) < 2(42 + 12)

= 108 < 108 wrong

This is the only wrong solution since 108 = 108

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Answer:

No, but x = 4

Step-by-step explanation:

3(7) + 8 - 7 = 5(7) - 4

21 + 8 - 7 = 22

22 = 35 - 4

22 = 31

It is not

How this equation may work is by subtracting the numbers by each side

3x + 8 - x = 2x + 8

2x + 8 = 5x - 4

     -8          -8

2x = 5x - 12

-5x  -5x

-3x = -12

x = 4

Answer:

Step-by-step explanation:

Comment

The first thing you ought to notice is that the original shape is a rectangle, with 2 of the y coordinates of the 4 points of 1. What that statement means is that two of the points (1,1) and (3,1) both sit on the line y = 1. they don't move. The other two points do move and they form a circular shape. So what you are going to get is a cylinder.

Answer: cylinder

Answer: 345

Step-by-step explanation: the alls