find the value of each variable
x=
y=

Answer:

y>1/3x-3

Step-by-step explanation:

The slope for this equation is 1/3x-3. Because the line is dashed, we know that we're dealing with either < or >. The shading goes upwards, so it's greater than. That means, we would get y>1/3x-3.

Hope this helps!

(a) The differential equation is separable, so we separate the variables and integrate:

[tex](x+1)\dfrac{dy}{dx} = xy \implies \dfrac{dy}y = \dfrac x{x+1} \, dx = \left(1-\dfrac1{x+1}\right) \, dx[/tex]

[tex]\displaystyle \frac{dy}y = \int \left(1-\frac1{x+1}\right) \, dx[/tex]

[tex]\ln|y| = x - \ln|x+1| + C[/tex]

When x = 0, we have y = 2, so we solve for the constant C :

[tex]\ln|2| = 0 - \ln|0 + 1| + C \implies C = \ln(2)[/tex]

Then the particular solution to the DE is

[tex]\ln|y| = x - \ln|x+1| + \ln(2)[/tex]

We can go on to solve explicitly for y in terms of x :

[tex]e^{\ln|y|} = e^{x - \ln|x+1| + \ln(2)} \implies \boxed{y = \dfrac{2e^x}{x+1}}[/tex]

(b) The curves y = x² and y = 2x - x² intersect for

[tex]x^2 = 2x - x^2 \implies 2x^2 - 2x = 2x (x - 1) = 0 \implies x = 0 \text{ or } x = 1[/tex]

and the bounded region is the set

[tex]\left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^2 \le y \le 2x - x^2\right\}[/tex]

The area of this region is

[tex]\displaystyle \int_0^1 ((2x-x^2)-x^2) \, dx = 2 \int_0^1 (x-x^2) \, dx = 2 \left(\frac{x^2}2 - \frac{x^3}3\right)\bigg|_0^1 = 2\left(\frac12 - \frac13\right) = \boxed{\frac13}[/tex]

Answer:

0.94, 1.03, 1.09, 1.1

Step-by-step explanation:

1.1

1.03

0.94

1.09

Those are the numbers in decimal form in sequence.

So it would be 0.94, 1.03, 1.09, then 1.1

I can't help on the graphing part, but thats the best you can pretty much get. Hope it helps :)

Answer:

its correct so you don't need to do anything

Step-by-step explanation:

The solution is, result of subtraction = 81.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

Nyla compared 790 and 709.

so, we have,

790 - 709

=81

Hence, The solution is, result of subtraction = 81.

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Answer:

A 9.47% discount was given

Step-by-step explanation:

The question is asking us to find how much percent of 475 is 45. Therefore we do the following:

[tex] \frac{45}{475} \times \frac{100}{1} = \frac{4500}{475} [/tex]

after dividing we get 9.473 which is approximately 9.47%

To check if what we got is correct we do the opposite and instead find 9.47% of 475.

[tex] \frac{475}{1} \times \frac{9.47}{100} = \frac{4498.25}{100} [/tex]

After dividing we find that is equal to 44.98 which is approximately 45.

Answe

about 30-45 Percent.

Step-by-step explanation:

The answer is: [tex]z_1-z_2[/tex]= 4-4([tex]\sqrt{3i}[/tex]-4i)

The correct option is: (D)

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z. Here both a and b are real numbers. The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z).

Since we have given : [tex]z_1[/tex]==4-4[tex]\sqrt{3i}[/tex] and [tex]z_2[/tex]= -16i

The difference of z1 - z2 would be:

So,

[tex]z_1-z_2[/tex] = 4-4[tex]\sqrt{3i}[/tex] - (-16i)

[tex]z_1-z_2[/tex] =4-4[tex]\sqrt{3i}[/tex]+16i

[tex]z_1-z_2[/tex] =4-4([tex]\sqrt{3i}[/tex] -4i)

Hence, [tex]z_1-z_2[/tex]= 4-4([tex]\sqrt{3i}[/tex]-4i)

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Answer:

4 – 4( StartRoot 3 EndRoot – 4)i

it's C.

Step-by-step explanation:

took the L for yall bc my shtoopid ahh thought it was D, which is 4 + 4

The actual pressure before the percentage increase is 36.5

let

39.42 = x + (8% of x)

39.42 = x + (0.08x)

39.42 = 1.08x

x = 39.42 ÷ 1.08

x = 36.5

Therefore, the actual pressure before the percentage increase is 36.5

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Answer:

[tex]a=\sqrt[3]{\frac{27}{64}} = 0.75[/tex]

edge length = 0.75

Equation: [tex]a=\sqrt[3]{V}[/tex]

Answer:

About 30-34 hours i estamate

Step-by-step explanation:

Alonso should work for 38 hours to earn $554.80.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Alonso earned $204.40 at his job when he worked for 14 hours.
Let Alonso per hour be x,
x = 204.40 / 14
x = 14.6

Now,
Alonso works for hours to earn $554.80,
= total pay/pay of an hour
= $554.80 / 14.6

= 38

Alonso should work for 38 hours to earn $554.80.

Thus, Alonso should work for 38 hours to earn $554.80.

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Answer:

24

Step-by-step explanation:

47= Mean

4 bags represent 16% of samples

16%=4

100= x

X=100 x4/16

100x4=400

400/16= 25

Since the answer ask for a probablity the answer is 24.

Answer:

4394

5200 X 0.12 = 624 --> 5200 - 624 = 4576

5200 X 0.035 = 182

4576 - 182 = 4394

..............................................................

Answer:

  49°

Step-by-step explanation:

The marked angles are "vertical" angles. They have the same measure.

  ∠TGF = ∠HGM = 49°

_____

You don't need to know the value of p to answer this question. It is 7.

Answer:

∠TGF = 49°

Step-by-step explanation:

From the diagram, we get that ∠TGF is equal to ∠MGH because they are  vertical angles.

Hence,

⇒ ∠TGF = ∠MGH

⇒ ∠TGF = 49°

Answer:

Step 1: 8 + 16x Step 2: 4(4) + 4(12x) Step 3: 4(4 + 12x) Step 4: Dimensions of the rectangle are 4 and 4 + 12x In which step did the student first make an error and what is the correct step? Step 3; 4 + (4 + 12x) Step 3; 4 + (4 ⋅ 12x) Step 2; 4(2) + 4(4x) Step 2; 4(2) + 4x(2)

The initial angular velocity of the star will be [tex]w=2.4\times 10^{-6} \ \frac{rad}{sec}[/tex].

Angular velocity refers to how fast an object rotates or revolves relative to another point. It is a rate of change of angle.

Here for the 30 days period the angular velocity will be calculated as:

[tex]W=\dfrac{2\pi}{T}=\dfrac{2\times \pi}{30\times 24\times 3600}=2.4\times 10^{-6} \ \frac{rad}{sec}[/tex]

So the initial angular velocity of the star will be [tex]2.4\times 10^{-6} \frac{rad}{sec}[/tex]

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Answer:

Do not put A and I more than once, we already measured it before.

10 letters in all

Find how many there are per letter

C - 1/10

A - 2/10

L - 1/10

I - 2/10

F - 1/10

O - 1/10

R - 1/10

N - 1/10

Answer:

B

Step-by-step explanation:

mean=(a+b+c+d+e+f+g)/7

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm. If all the scoops are evenly distributed, they would all be 3.8 cm tall.

The mean value of the data set is the ratio of the sum of the data set's values to the number of values it has.

If the data set consists of values

x_1, x_2, ..., x_n

, then we get the mean value as:

[tex]\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}[/tex]

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm.

[tex]\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}[/tex]

mean=[tex]\dfrac{(a+b+c+d+e+f+g)}{7}[/tex]

Therefore, If all the scoops are evenly distributed, they would all be 3.8 cm tall.

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Hi Student!

The first step that we need to take to solving this problem (and almost any problem), is to concentrate the important information for the problem that is provided.  Looking at the problem we can see that we are trying to determine what the length of the radius is.  In order to solve this problem we are provided with the area of a sector of 361.6 meters squared and a central angle of 288 degrees.

Now that we have the important information taken care of, we can move onto the part of actually solving the problem.  We must first convert our degrees to radians because the equation that we will be using can only use radians for the angle and not degrees.  We can simply convert our angle to radians by multiplying it by π/180.

[tex]288\ degrees\ *\ \frac{\pi }{180\ degrees}[/tex]

[tex]288\ degrees\ *\ \frac{3.14}{180\ degrees}[/tex]

[tex]\frac{288\ degrees\ *\ 3.14}{180\ degrees}[/tex]

[tex]5.024\ radians[/tex]

After completing this step, we have converted our degrees to radians and now we can move onto the step where we plug in our information into an equation and solve for our unknown.

[tex]Sector\ Area = radius^2\ *\ \frac{angle}{2}[/tex]

[tex]361.6\ m^2 = radius^2\ *\ \frac{5.024}{2}[/tex]

[tex]361.6\ m^2 = radius^2\ *\ 2.512[/tex]

[tex]\frac{361.6\ m^2}{2.512} = \frac{radius^2\ *\ 2.512}{2.512}[/tex]

[tex]143.949\ m^2 = radius^2[/tex]

[tex]\sqrt{143.949\ m^2} = \sqrt{radius^2}[/tex]

[tex]12\ m = radius[/tex]

Therefore, after solving our equation for our unknown, we can see that our radius is really close to 12 meters (so we can just round up as the problem stated).

Length of sides:

Surface Area:

(perimeter of base)(length) + (base)(height)

(8+10+6)(4)+(8)(6)

(24)(4)+48

96+48

144 ft²

If 10 inches is equal to 25.4 centimeters. Then the 45 inches will be equal to 114.3 centimeters.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

A 10 inches long piece of string is approximately 25.4 centimeters long.

If the length of the string is 45 inches. Then the length in cm will be

Let x be the length. Then we have

x/45 = 25.4/10

    x = 114.3 cm

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Answer:

Amber these are tricky

Step-by-step explanation:

plug in 0 for x to see where it intercepts,  also,  b/c the line goes up hill,  it's a positive slope.  :)

So B) is good

Answer:

445455

Step-by-step explanation:

The regular polygon must have 12 sides so the smallest angle of rotational symmetry is 30°

We know that the smallest angle of rotational symmetry is 30°, then the exterior angles must measure that.

Remember that the sum of the exterior angles of a regular polygon must be equal to 360°, then we have:

360° = n*30°

Where n is the number of sides

Solving for n we get:

n = 360°/30° = 12

We conclude that the regular polygon has 12 sides.

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Answer: B. 12

Step-by-step explanation: On Edge!!!

Answer:

The answer would be 9.1104335791443.

Answer:

Option A.

Step-by-step explanation:

The tangent(theta) is equal to the ratio of the length opposite to the length of the adjacent side, which in this case would be the secant and cosecant.

Answer:

See below ~

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

let's look at the change from the red point to the blue point

thus, (x₁, y₁) = red point = (-4, 1) and (x₂, y₂) = blue point = (-2, 0)

note that (x₁, y₁) and (x₂, y₂) can be interchanged

slope = change in y / change in x = (y₂-y₁)/(x₂-x₁) = (0-1) / (-2-(-4)) = -1/2 as our slope

See attached. We can draw a right triangles contained within both shapes.

The triangle has height x (same as the cylinder), base 2r (same as the diameter of the cylinder), and hypotenuse 6 (same as the diameter of the sphere).

Since it's a right triangle, the Pythagorean theorem holds and we have

x² + (2r)² = 6²

which we solve for r to get

x² + 4r² = 36

4r² = 36 - x²

r² = 9 - x²/4

r = √(9 - x²/4)

Then the volume of the cylinder, whose height is x and whose base has radius r, is

π r² x = π (9 - x²/4) x = (36x - x³) π/4