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1. The angles between 0 and 360 degrees that meet sin 3v = sin 33 are: 11°, 49°, 131°, 169°, 251°, 289°

2. The angles v between -π and π that satisfy 4\(cos^2\)(v) - 4cos(v) = -1 are:

v = -5π/3, -π/3, 0, π/3, 5π/3

1. To determine all angles between 0 and 360 degrees that meet sin 3v = sin 33, we can use the identity:

sin A = sin B if and only if A = nπ +\((-1)^n\)B, where n is an integer.

Using this identity, we have:

3v = nπ + \((-1)^n\)33

v = nπ/3 +\((-1)^n\)11

Since we are looking for angles between 0 and 360 degrees, we can set n to be 0, 1, 2, or 3. This gives us the following angles:

v = 11°, 49°, 131°, 169°, 251°, 289°, 371°

However, 371° is not between 0 and 360 degrees, so we can discard it. Therefore, the angles between 0 and 360 degrees that meet sin 3v = sin 33 are:

11°, 49°, 131°, 169°, 251°, 289°

2. To find all angles v between -π and π that satisfy 4\(cos^2\)(v) - 4cos(v) = -1, we can rearrange the equation as follows:

4\(cos^2\)(v) - 4cos(v) + 1 = 0

We can then use the quadratic formula to solve for cos(v):

cos(v) = [4 ± \(\sqrt{}\)(16 - 16)]/8

cos(v) = 1/2 or cos(v) = 1

If cos(v) = 1/2, then v = ±π/3, ±5π/3

If cos(v) = 1, then v = 0

Therefore, the angles v between -π and π that satisfy 4\(cos^2\)(v) - 4cos(v) = -1 are:

v = -5π/3, -π/3, 0, π/3, 5π/3

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Answer- 9 shelves

In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.

HOPE THIS HELPS & GOOD LUCK!

The value of the double integral of u(x, y) over the disk B is 4πR⁴ + 16πR².

To find the value of the integral of u(x, y) over the disk B, we need to evaluate the double integral of u(x, y) over the region defined by the disk B.

The equation of the disk B can be rewritten as (x - 2)² + (y - 1)² < R², which represents a circle with center (2, 1) and radius R.

Let's denote the integral of u(x, y) over the disk B as I:

I = ∬B u(x, y) dA

To evaluate this integral, we can use polar coordinates. In polar coordinates, the equation of the disk B becomes:

(r cosθ - 2)² + (r sinθ - 1)² < R²

Expanding and simplifying this inequality, we have:

r² - 4r cosθ + 4 + r² - 2r sinθ + 1 < R²

2r² - 2r(sinθ + 2cosθ) + 5 < R²

Since we are integrating over the disk B, the range of integration for r is from 0 to R, and the range of integration for θ is from 0 to 2π.

Now, we can rewrite the integral I in polar coordinates:

I = ∫[0 to 2π] ∫[0 to R] (r² - 6r²sin²θ + r² + 3r cosθ + 4r sinθ + 8) r dr dθ

Simplifying and evaluating the integrals, we get:

I = ∫[0 to 2π] ∫[0 to R] (6r³ - 6r³sin²θ + 4r² cosθ + 4r³ sinθ + 8r) dr dθ

I = ∫[0 to 2π] [2R⁴ - (2R⁴/3)sin²θ + 2R³cosθ + 2R⁴ sinθ + 8R²] dθ

I = 2π[2R⁴ + 8R²]

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Answer:

4 lol

Step-by-step explanation:

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

The values for the lesser and greatest are:

-14 and 0

Step 1: Define

(x + 7)² - 49 = 0

Step 2: Solve for x

Add 49 to both sides:                    (x + 7)² = 49

Square root both sides:                 x + 7 = ±7

Subtract 7 on both sides:               x = -7 ± 7

Evaluate:                                         x = -14, 0

Step 3: Check

Plug in x values into original equation to verify they are a solution.

x = -14

Substitute in x:                    (-14 + 7)² - 49 = 0

Add:                                     (-7)² - 49 = 0

Exponents:                          49 - 49 = 0

Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ x = -14 is a solution of the equation

x = 0

Substitute in x:                    (0 + 7)² - 49 = 0

Add:                                     7² - 49 = 0

Exponents:                          49 - 49 = 0

Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ x = 0 is also a solution of the equation.

Hence we get the required answer.

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Answer:

x= 2/3  or in decimal form 0.6(the 6 repeats) hope this helps

Step-by-step explanation:

divide each side by the factors that do not contain the variable in this case the variable is x

Answer:

5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = 5x

Step 2: Break Function

Identify Parts

Slope m = 5

y-intercept b = 0

Answer:

z = 5

Step-by-step explanation:

You must isolate the z in this situation

Answer:

\(y=2x+4\)

Step-by-step explanation:

\((y-2)= 2(x-(-1))\)

\((y-2)=2(x+1)\)

\(y-2=2x+2\)

\(y=2x+4\)

The employer chooses at random, and three of the candidates are women, there are 80 possible ways to fill the four positions.

We may use the combination formula to address this issue,

which is:

nCr = n! / (r! * (n-r)!)

where r is the number of things being picked, n denotes the total number of items, and! denotes factorial, which is the sum of all positive integers up to that number. For example, 4! = 4 x 3 x 2 x 1 = 24.

Six women will be chosen, and one person will be selected from the remaining four (who must be a man). The result is:

Number of ways to choose 3 women from 6 women = 6C3 = 20

Number of ways to choose 1 man from 4 men = 4C1 = 4

Since these two numbers are independent options, we must multiply them together to determine the total number of alternatives to fill the four seats. Which is:

There are a total of four slots that can be filled, including 3 women and 1 man. = 20 * 4 = 80

Therefore, the employer chooses at random, and three of the candidates are women, there are 80 possible ways to fill the four positions.

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Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

------------------------------------------

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

------------------------------------------

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

------------------------------------------------------

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

------------------------------------------------------

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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Answer:

90

Step-by-step explanation:

180 divided by 2 is 90

Slope of lines 3x - 5y = 2 and 3x + 5y = -2 are m₁ = 3/5 and m₂ = -3/5 respectively.

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line. The net change in the y coordinate is Δy and the net change in the x coordinate is Δx. Therefore, the change in y-coordinate for a change in x-coordinate can be written as

Line slope is a measure of the steepness or direction of a line in the coordinate plane.  

m = Δy/Δx

where,m is the slope

Given,

equations of the line

3x - 5y = 2

Moving 3x to RHS
-5y = -3x + 2

y = (3/5)x - 2/5

comparing with slope intercept equation of the line y = mx + c

slope m₁ = 3/5

Now, equation

3x + 5y = -2

moving 3x to RHS

5y = -3x - 2

y = (-3/5)x - 2

comparing with slope intercept equation of the line y = mx + c

slope m₂ = -3/5

Hence, m₁ = 3/5 and m₂ = -3/5 are slope of lines 3x - 5y = 2 and 3x + 5y = -2 respectively.

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Answer:

Step-by-step explanation:

y =  3x - 4

x = 0,  y = 3*0 - 4

          y = -4

(0 , -4)

x = 1 ,    y = 3*1 - 4

            y = 3 - 4

            y = -1

(1 , -1)

x = 2  , y = 3*2 - 4

           y = 6 - 4

           y = 2

(2 , 2)

Now mark these points (0 , -4) , (1 , -1) & (2 , 2) in the graph and join the points

The value of the real life expression is, simple interest = $12.5

The real life expression is given as:

simple interest = ($100) (0.05/year) (2.5 years

Divide 1 year by 1 year

simple interest = ($100) (0.05) (2.5)

Rewrite the equation as a product of factors

simple interest = ($100) * (0.05)*  (2.5)

Evaluate the product of 0.05 and 2.5

simple interest = ($100) * 0.125

Evaluate the product of $100 and 0.125

simple interest = $12.5

Hence, the value of the real life expression is, simple interest = $12.5

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The surface area of each figure nearest tenth will be 402.1 square meters. Then the correct option is C.

Let r be the radius and h be the height of the cylinder. Then the surface area of the cylinder will be given as,

SA = 2πrh + 2πr² square units

The diameter of the base circle is 8 meters and the height is 12 meters. Then the radius of the base circle is given as,

r = d / 2

r = 8 / 2

r = 4 meters

Then the surface area is calculated as,

SA = 2π × 4 × 12 + 2π × (4)²

SA = 2π × (48 + 16)

SA = 2π × 64

SA = 402.1 square meters

The surface area of each figure nearest tenth will be 402.1 square meters. Then the correct option is C.

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The complete question is attached below.

Your answer would be 230,000

Answer:

36.25

Step-by-step explanation:

Answer:

36.25

Step-by-step explanation:

Answer: 4 large bottles of water for $3.

Step-by-step explanation: To find how many large water bottles you can buy with $3, you’ll have to divide 12 by 3 which equals to 4. You can check your answer by multiplying 4 x 3 which equals to 12, which is the original amount of large water bottles you can buy for $9.

Answer:

2(14+z)

Step-by-step explanation:

9+7+5+7

16+5+7

21+7

28

28+z+z

28+2z

2(14+z)

Answer:

-2.83~

Step-by-step explanation:

google :)

Answer:

velosity= distance ÷ time

Step-by-step explanation:

\(3 \times \frac{2}{5} \div \frac{2}{3} = \\ \frac{17}{5} \times \frac{3}{2} = \frac{51}{10} = 5.1\)

Answer:

23.01

Step-by-step explanation:

743.22-312.29-36.7-6.26

=387.97

410.98-387.97

=23.01

Answer:

0.075

Step-by-step explanation:

To represent 7 1/2 as a decimal, it would be 0.075 since there are 7 hundredths and half a hundredth.

The results generated in the map phase are combined in the _reduce_ phase.

In maps, the "reduced phase" refers to a technique used to remove the phase ambiguity present in interferometric synthetic aperture radar (InSAR) data. InSAR uses radar to measure the distance between a satellite or aircraft and the ground and can be used to create detailed maps of changes in the surface of the earth over time.

However, because InSAR data is collected using radar waves, which are sensitive to the phase of the signal, the data can be affected by phase ambiguities. The reduced phase technique is used to remove these ambiguities and create more accurate maps.

Therefore, The results generated in the map phase are combined in the _reduce_ phase.

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Answer:

D

Step-by-step explanation:

if x=5 then,

y=-6×1+11

=-6+11

=5

Answer:

2/8 chance of landing on A

Step-by-step explanation:

Answer:

-x2 y

Step-by-step explanation:

The first five terms of the sequence are all equal to 1592

The given sequence is defined by the formula:

bn = 40² - 8.

To find the terms of the sequence, we substitute different values of n into the formula and simplify the expression.

For n = 1:

b1 = 40² - 8 = 1600 - 8 = 1592

For n = 2:

b2 = 40² - 8 = 1600 - 8 = 1592

For n = 3:

b3 = 40² - 8 = 1600 - 8 = 1592

For n = 4:

b4 = 40² - 8 = 1600 - 8 = 1592

For n = 5:

b5 = 40² - 8 = 1600 - 8 = 1592

Therefore, the first five terms of the sequence are: 1592, 1592, 1592, 1592, 1592.

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Answer:

The answer to your problem is, Between 1 3/8 kg and 2 1/16 kg of nails

Step-by-step explanation:

2 3/4 kg as an improper fraction is 11/4 kg

1/2 of 11/4 = 1/2 x 11/4

= 11/8

= 1 3/8 kg

3/4 of 11/4 = 33/16

= 2 1/16 kg

1 3/8 kg and 2 1/16 kg of nails

Thus the answer to your problem is, Between 1 3/8 kg and 2 1/16 kg of nails