please help me find these answers! Ill give brainliest and 5 stars ill make sure to thank you! just please help im suffering over here

The differential equation

dy/dx = x sin(x ²) / y

is separable as

y dy = x sin(x ²) dx

Integrate both sides:

∫ y dy = ∫ x sin(x ²) dx

∫ y dy = 1/2 ∫ 2x sin(x ²) dx

∫ y dy = 1/2 ∫ sin(x ²) d(x ²)

1/2 y ² = -1/2 cos(x ²) + C

Solve for y implicitly:

y ² = -cos(x ²) + C

Given that y = 1 when x = 0, we get

1² = -cos(0²) + C

1 = -cos(0) + C

1 = -1 + C

C = 2

Then the particular solution to the DE is

y ² = 2 - cos(x ²)

Solving explicitly for y would give two solutions,

y = ± √(2 - cos(x ²))

but only the one with the positive square root satisfies the initial condition:

√(2 - cos(0²)) = √1 = 1

-√(2 - cos(0²)) = -√1 = -1 ≠ 1

So the unique solution to this DE is

y = √(2 - cos(x ²))

Answer:

p= 8000n-8000c

Step-by-step explanation:

8000

p= n - c

or

p= 8000n-8000c

Esentially you need to subtract n, the amount they sell each car for by c, the amount it costs to produce a car, (which should be less because the company has to make money) this would give you the total they make a month, P.

Because the amount of cars is constant, 8000, you can always multiply the cost of the car and how much its sold for by 8000. Otherwise, you would have another variable like k, which would be how many cars sold

Step-by-step explanation:

The 2 lines are parallel to each other which means that angle #5 and 93° are alternate interior angles so by definition, they are equal. Hence angle 5 = 93°

Answer:

See Below.

Step-by-step explanation:

Problem A)

We have:

[tex]\displaystyle \csc^2\theta \tan^2\theta -1=\tan^2\theta[/tex]

When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.

So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:

[tex]\displaystyle \left(\frac{1}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{\cos^2\theta}\right)-1=\tan^2\theta[/tex]

Cancel:

[tex]\displaystyle \frac{1}{\cos^2\theta}-1=\tan^2\theta[/tex]

Let 1/cosθ = secθ:

[tex]\sec^2\theta -1=\tan^2\theta[/tex]

From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:

[tex]\tan^2\theta =\tan^2\theta[/tex]

Problem B)

We have:

[tex]\sin^3x=\sin x-\sin x \cos^2 x[/tex]

Factor out a sine:

[tex]\sin x(\sin^2 x)=\sin x-\sin x\cos^2 x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:

[tex]\sin x(1-\cos^2 x)=\sin x-\sin x\cos^2x[/tex]

Distribute:

[tex]\sin x- \sin x \cos^2 x=\sin x-\sin x\cos^2 x[/tex]

Problem C)

We have:

[tex]\displaystyle \frac{\cos 2x+1}{\sin 2x}=\cot x[/tex]

Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:

[tex]\displaystyle \frac{\cos^2 x-\sin^2 x+1}{2\sin x\cos x}=\cot x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:

[tex]\displaystyle \frac{2\cos^2 x}{2\sin x\cos x}=\cot x[/tex]

Cancel:

[tex]\displaystyle \frac{\cos x}{\sin x}=\cot x[/tex]

By definition:

[tex]\cot x = \cot x[/tex]

Answer:

144 meters

Step-by-step explanation:

24 * 6 is 144

Hope this helps:)

Answer:

144 meters

Step-by-step explanation:

24 meters x 6 meters = 144 meters

[tex]0.5 - ( - 10.5 \times 5) + 40.5[/tex] = [tex]\boxed{93.5}[/tex]

A. 93.5 ✅

Step-by-step explanation:-

[tex]0.5 - ( - 10.5 \times 5) + 40.5 \\ = 0.5 - ( - 52.5) + 40.5 \\ = 0.5 + 52.5 + 40.5 \\ = 93.5[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

93.5

Step-by-step explanation:

See the steps below:)

Answer:

4 bottles i think but you should check with someone else too

Answer:

4 bottles i think but you should check with someone else too

Step-by-step explanation:

Step-by-step explanation:

[tex](x + 5)(x - 2) \geqslant 0[/tex]

[tex]x + 5 = 0 \\ x \geqslant - 5 \\ x - 2 = 0 \\ x \geqslant 2[/tex]

The solution of the inequality is x  ≥ -5 and x  ≥ 2.

The graph of the number line is given in the attached image.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

An inequality (x+5)(x-2) ≥ 0

Solving further,

(x+5) ≥ 0 and (x -2)  ≥ 0

x  ≥ -5 and x  ≥ 2

Therefore, the solution of the inequality is x  ≥ -5 and x  ≥ 2.

To learn more about the inequality;

brainly.com/question/28823603

#SPJ2

Answer: Quadrant 3

============================================================

Explanation:

pi radians = 180 degrees

If angle [tex]\theta[/tex] (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.

Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.

Answer:

26 × 35 = 910=890 I multiply the 26 and 35 together and got 910 and then I round off to nearest 10th and got 900

So the awnser is 890m

The answer is 2990.8 yd

Formula for SA of cylinder: 2*pi*r*h+2*pi*r^2

Formula for radius: diameter/2

Plug the radius, 17, height, 11, and pi, 3.14, into the formula above.

= 2990.8 yd

Answer:

Step-by-step explanation:

It's 5

9514 1404 393

Answer:

  c.  $20.23

Step-by-step explanation:

The overhead cost per labor hour is found by dividing overhead costs by labor hours:

  $163,900/(8100 h) = $20.23 /h

The factory overhead rate is $20.23 per labor hour.

Answer:

Orca Correct, Sea Star Wrong. Heart it if it was helpful :D

Step-by-step explanation:

11-4=7. Orca correct.

Sea star...11-4=7

Wrong its 7, not -7

Answer:

The orca is right and the sea star is wrong.

If you were to add 11 to -4, it would no longer be a negative number.

You take four out of 11 which would bring it to a zero. There would be 7 left, therefore the answer being a positive 7.

Answer:

2

Step-by-step explanation:

The solutions are:

(1/2,11/4) and (1,2)

cosine(7 radians ) =

0.75390225434

Answer:

B. 9.7

Step-by-step explanation:

√12²-7²=√144-49=√95=9.7

Answer:

2/7 of represents employees who are sick

Step-by-step explanation:

Question:

What fraction represents the employees who are sick

Total People = 7

sick people =2

numerator/denominator

2/7

9514 1404 393

Answer:

  odd

Step-by-step explanation:

If 'a' and 'b' have different parity, the result has odd parity.

__

Assume a=odd, b=even

  (5·odd -3·even) = odd

  (odd^2 +5·even) = odd

  (odd)(odd) +2 = odd

__

Assume a=even, b=odd

  (5·even -3·odd) = odd

  (even^2 +5(odd)) - odd

  (odd)(odd) +2 = odd

_____

The attached verifies this with numbers.

Answer: 32,500

Step-by-step explanation: i don't know

Answer:

32500

Step-by-step explanation:

Without using a calculator

625*52 = (625*4) * (52/4) = 2500 * 13 = 32500

Answer:

The rate of depreciation is 11.87% per year.

Step-by-step explanation:

Given that a brand new car was purchased for $ 28,000 in year 2000, and the car value has dropped to $ 20,000 in year 2003, to determine what could be considered as the rate of depreciation, the following calculation must be performed:

20,000 x (1 + X / 1) ^ 3 = 28,000

20,000 x X ^ 3 = 28,000

20,000X ^ 3 = 28,000

X = 1.1187

Therefore, the rate of depreciation is 11.87% per year.

Answer:

(x-2)²=9

sqrt both sides

don't forget positive and negative roots

x-2=+/-3

well, she is partially correct

x-2=3 is one answer

she didn't remember the other one the x-2=-3

Step-by-step explanation:

(x-2)²=9

sqrt both sides

don't forget positive and negative roots

x-2=+/-3

well, she is partially correct

x-2=3 is one answer

she didn't remember the other one the x-2=-3

Answer:

Following are the responses to the given question:

Step-by-step explanation:

In the first example, a team walks into a bar & chooses the random person to speak, in which situation, the woman who walks to the club has made a choice, he has selected a people with and who he wants to speak, it is a subjective preference. A choice cannot be random in statistical since it has a subjective preference. The first interpretation may therefore be randomized in general, but not arbitrary in statistics.

In the second example, i.e., the definition of Building tracks Example, a randomized wood piece is an identical piece or is different in size from other pieces. In this, piece wood has been differentiated by one's looks so, when asked to pick a random piece, we are likely to choose a non-uniform part rather than the uniform one. It is a random racial bias, so again in constructing pursuits the second definition could be random, but not a discrete one in stats.

In the identification numbers of random, we intentionally state that equal probability for each unit in the population of inclusion in the sampling. The definition essentially includes all sorts of predilection, and therefore refers to true allegiance, when we neither make that choice nor want to choose a separate unit.

Comparing the standard deviations of each distribution, you have blue < red < yellow.

For any normally distributed random variable X with mean µ and standard deviation σ, we have the property that

Pr[|X - µ| ≤ σ] ≈ 68%

In other words, roughly 68% of a normal distribution lies within 1 standard deviation of the mean. This means the plot of the density of a distribution with a smaller standard deviation forms a tighter peak (like the blue curve), whereas a larger standard deviation would be indicated by a more dispersed, flattened curve (like the yellow one).

Answer:ni

Step-by-step explanation:

Answer:

Yes, I agree

It is $80

Answer:

y = 60°

x = 12

Step-by-step explanation:

Because all sets of opposite sides are parallel, opposite angles are equal, and  opposite sides have the same length.

Answer:

Because if it is zero, then it is multiplied the variable and it will be zero.  For example if I had 0x(squared) + x, it would just be x because zero times any number is zero.  Looking at the problem, I would assume it was quadratic because it had x squared, but it isn't because there are 0 x squared values.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). If the given triangles are similar their corresponding sides will be proportional.

[tex]\frac{8}{a}= \frac{8}{12}=\frac{5}{b}[/tex]

[tex]\frac{8}{a}= \frac{8}{12}[/tex]

[tex]a=\frac{12\times 8}{8}[/tex]

[tex]a=12[/tex]

[tex]\frac{8}{12}=\frac{5}{b}[/tex]

[tex]b=\frac{5\times 12}{8}[/tex]

[tex]b=7.5[/tex]

2). By using proportional relationship in the similar polygons,

[tex]\frac{3}{c}=\frac{6}{8}[/tex]

[tex]c=\frac{8\times 3}{6}[/tex]

[tex]c=4[/tex]

d = 8

c = e = 4

3). If the pentagons are similar their corresponding sides will be proportional.

[tex]\frac{6}{g}=\frac{8}{18}=\frac{10}{h}= \frac{8}{I}=\frac{6}{f}[/tex]

[tex]\frac{6}{g}=\frac{8}{18}[/tex]

[tex]g=\frac{18\times 6}{8}[/tex]

[tex]g=13.5[/tex]

[tex]\frac{8}{18}=\frac{10}{h}[/tex]

[tex]h=22.5[/tex]

[tex]\frac{8}{18}=\frac{6}{f}[/tex]

[tex]f=13.5[/tex]

[tex]\frac{8}{18}= \frac{8}{I}[/tex]

[tex]I=18[/tex]