Helpppp pleaseeeeeeeeeeeeeeeeeeeee it's due at 12:00 odjsoisjsis please see helppp, with explanation pleaseee

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: 12,000 \(mi^{2}\)

Step-by-step explanation:

30,000 x 2/5 (0.4 in decimal form) = 12,000

Answer:  12000 miles

Step-by-step explanation:

30000*2/5 = 12000 miles

The using matrix operations the score in the track meet is Team 1: 25 points, Team 2: 15 points.

To determine the score in the track meet using matrix operations a matrix representing the points awarded for each event and perform matrix operations to calculate the total score for each team.

The three individual events and one relay event in the track meet.

First, create a matrix A representing the points awarded for individual events:

A =

5 3 1

5 3 1

The first row of matrix A represents the points awarded for the first-place finish in each event, the second row represents the points awarded for the second-place finish, and the third row represents the points awarded for the third-place finish.

Next, create a matrix B representing the points awarded for the relay event:

B =

5

0

The first row of matrix B represents the points awarded for the first-place finish in the relay event, and the second row represents the points awarded for the second-place finish (which is 0 points).

A matrix C representing the scores for each team in each event:

C =

c1

c2

Here, c1 represents the score for the first team, and c2 represents the score for the second team.

To calculate the total scores for each team, matrix multiplication:

C = A × B

Performing the matrix multiplication:

C =

55 + 30 + 10

50 + 35 + 10

Simplifying the calculations:

C =

25

15

The resulting matrix C represents the total scores for each team in the track meet. From the matrix, that the first team has a score of 25 points, and the second team has a score of 15 points.

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Answer: the answer is C $1932.12

Step-by-step explanation:

AP3X

The money you have to invested in total after 1 year $1932.12​, the correct option is D.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

We are given that;

APR= 7.5%

Invest=$2000

Now,

We can use the formula for the future value of an annuity to find the amount we need to invest each month to have a total of $2000 at the end of the year:

FV = PMT × [(1 + r/n)^(n*t) - 1]/(r/n)

where:

FV = future value = $2000

PMT = monthly payment (unknown)

r = annual interest rate = 7.5% = 0.075

n = number of times interest is compounded per year = 12 (compounded monthly)

t = time in years = 1

Substituting the given values into the formula, we have:

2000 = PMT × [(1 + 0.075/12)^(12*1) - 1]/(0.075/12)

Simplifying this equation, we get:

PMT = 2000 × (0.075/12) / [(1 + 0.075/12)^(12*1) - 1]

PMT ≈ $173.46

we need to invest approximately $173.46 each month for a year to have a total of $2000 at the end of the year. The total amount invested will be:

Total amount invested = 12 × $173.46 ≈ $1932.12

Therefore, by the given interest answer will be $1932.12

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Answer:

9

Step-by-step explanation:

a half of 18 is 9

18/2 = 9

9 + 9 = 18

9514 1404 393

Answer:

  y = (x -1)² -16

Step-by-step explanation:

Note the location of the vertex (point A) on the graph. Its x-coordinate is readily identifiable as 1. Its y-coordinate is some value between -15 and -20, closer to -15. (If you go to the trouble of finding the vertex coordinates, you discover they are (1, -16).)

Once you have determined what the vertex is, you can compare the offered answer choices to the vertex form ...

  y = (x -h)² +k

where (h, k) are the vertex coordinates. That is, you are looking for an answer choice that is something like ...

  y = (x -1)² -16

Answer:

Step-by-step explanation:

Your answer

About all the sides are equal so we can say (10x + 44) side's triagle is twice than another triangle

So, 10x + 44 = 2( 8x - 23)

..... 10x +44 = 16x -46

...... X = 15

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The probability of getting the color yellow when spinning a spinner with three equal sections colored red, white, and blue is 0%. Therefore, the correct answer is d) 0%.

Since the spinner has three equal sections colored red, white, and blue, and there is no section labeled yellow, it is not possible to obtain the color yellow when spinning the spinner. Each section has an equal chance of being landed on, but none of them represent the color yellow. Therefore, the probability of getting the color yellow is 0%. It's important to note that probability represents the likelihood of an event occurring, and in this case, the event of landing on the color yellow is not possible given the given information about the spinner. Therefore, the probability is 0%.

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Answer:

look at the photo i have sent

Answer:

s = 17 inches

Step-by-step explanation:

Since this is a parallelogram, it has two sets of equal sides. We are given that one of the sides is 19 and the perimeter is 72. Therefore, \

72 = 2*s + 2*19

72 = 2*s + 38

34 = 2*s

s = 17

Answer:

17

Step-by-step explanation:

19 + 19 = 38

38 divided by 2 = 17

Add the given length to itself again because the other side is equal.

Which would be 38. Divide by 2 since there are two missing lengths that need to be solved (s). And your final answer is 17!

Answer: She left 10% of the cookies at home

Step-by-step explanation: 80 cookies= 100%, 8 cookies = x%. 8 x 100%/ 80 = 10%

The value of length of pen should always be greater than 5 feet.

Rectangle:

                Rectangle is a special kind of parallelogram in which opposite sides are equal and adjacent sides are perpendicular to each other.It contains of length and breadth,The area of rectangle is given by,

                  Area = length x breadth

Now as per question,

A family wants to build a pen for their new puppy.

They want's the area of the pen to be more than 225 square feet.

width of the pen is = 25 feet

let,

     The length of the pen is \(x\) feet.

Area of pen = length * width

                    = \(x\) * 25

                    = 25x

According to the question,

                        Area of pen > 225 square feet

                         25x > 225

                            x >225/25

                             x > 5 feet

Thus,

        The value of length should always be greater than 5 feet.

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Answer:

Im doing the same thing im just gon take the points thank lol

Step-by-step explanation:

hi,

(53) * (5-5)

as 5-5 = 0

then 53 * 0 = 0

Answer:

The argument of the logarithmic function should be greater than zero.

Thus, for y = log(-x + 3) - 1 to be real-valued, we need:

-x + 3 > 0

or

x < 3

So, the domain of the function is all real numbers less than 3.

To find the range, let's consider the behavior of the logarithmic function.

As x approaches 3 from the left, the argument of the logarithm approaches zero from the negative side, which means the logarithm approaches negative infinity.

As x approaches negative infinity, the argument of the logarithm becomes very large and negative, which means the logarithm approaches negative infinity.

Therefore, the range of the function y = log(-x + 3) - 1 is all real numbers.

Step-by-step explanation:

The false statements are:

c. 3. z <= 4

d. 4. y > (z-x)

Statement 3 (z <= 4) is false because z is given as 8, which is greater than 4. Therefore, z is not less than or equal to 4.

Statement 4 (y > (z-x)) is false because when we substitute the given values, we get 6 > (8-5), which simplifies to 6 > 3. This is not true since 6 is not greater than 3.

The remaining statements are true:

Statement 1 (x == 5) is true because x is given as 5.

Statement 2 (x < (y + 2)) is true because when we substitute the given values, we get 5 < (6 + 2), which simplifies to 5 < 8.

Statement 5 (z >= (y+x)) is true because when we substitute the given values, we get 8 >= (6+5), which simplifies to 8 >= 11.

Statement 6 (y <= 6) is true because y is given as 6.

Therefore, the false statements are c. 3 and d. 4.

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Answer:

Below

Step-by-step explanation:

Since it is given that   w  = 3/4 h    put this in for 'h' in the equation

2 ( 3/4 h)  + 2h    = 14       Expand L side

   6/4 h + 2 h = 14            combine 'h' terms

      14/4  h = 14                multiply both sides by 4/14

                h = 4 / 14    * 14   = 4

James paid $46.45 in total, rounded to the nearest cent. This amount includes the discounts of 25% and 30% on the shirts, as well as the 6.5% sales tax.

To calculate the total amount James paid, we need to consider the discounts and sales tax.

First, let's calculate the price of the first shirt after the 25% discount. The discounted price is 75% of the original price:

Discounted price of the first shirt = 0.75 * $30 = $22.50.

Next, let's calculate the price of the second shirt after the 30% discount. The discounted price is 70% of the original price:

Discounted price of the second shirt = 0.70 * $30 = $21.

Now, let's calculate the subtotal by adding the prices of both shirts:

Subtotal = $22.50 + $21 = $43.50.

To calculate the amount after adding the sales tax, we multiply the subtotal by 1 plus the sales tax rate:

Total amount with sales tax = $43.50 * (1 + 0.065) = $46.4275.

Rounding the total amount to the nearest cent, James paid $46.43.

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i. 20 people

ii. 3 people

iii. 26 people

We have that;

3x + 5 people likes apples

3x + 5 people likes banana

2x + 15 people likes at least one of the fruits

The total number of people = 55

Let's find the value of x

3x + 5 + 2x + 15 = 55

5x + 20 = 55

5x = 55 - 20

5x = 35

x = 35/5

x = 7

i. People that likes banana only =  3x + 5 = 3 × 5 + 5 = 15 + 5 = 20 people

ii. None of the fruits = 55 - 2x + 15 = 55 - 3x + 5 - 3x + 5 = 55 - 26 +26

= 55 - 52

= 3 people

iii. At most one fruit = 55 - 2x + 15 = 55 - 2(7) + 15 = 55 - 29 = 26 people

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Answer:

\(Pr = \frac{1}{2}\)

Step-by-step explanation:

Given

\(S = \{1,2,3,4,5,6\}\) --- the faces of the dice

\(n(S) = 6\)

Required

Pr(Multiple of 8)

The multiples of 8 in the given dataset are:

\(Multiples = \{1.,2,4\}\)

\(n(Multiples) = 3\)

So, we have:

\(Pr = \frac{n(Multiples)}{n(S)}\)

\(Pr = \frac{3}{6}\)

Simplify

\(Pr = \frac{1}{2}\)

To educate a patient on how to judge the appropriate size of a serving of chicken or lean beef, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of their hand. This will help them make healthy choices and keep track of their portions. So, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand.

A serving size is a standardized amount of food or drink that is intended to make it easier for people to compare the nutritional content of different products and understand how much they are consuming. A serving size might be listed on a food label or recommended as part of a healthy eating plan or diet.

The recommended serving size for different foods and beverages can vary depending on several factors, including a person's age, sex, and physical activity level, as well as the nutrient content of the food or drink.

For example, a serving of fresh vegetables might be 1 cup, while a serving of meat, poultry, or fish might be 3 ounces. A good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand. This can help you make healthy choices and keep track of your portions.

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In the question given that :he​ reasoned, the probability of rolling a nine must be one eleventh but bob is wrong because the probability is 1/36 which is not equal to 1/11

From the question, we have the information available is:

Bob is asked to construct a probability model for rolling a pair of fair dice. He lists the outcomes as​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, 11, 12.

and, there are 11​ outcomes, he​ reasoned, the probability of rolling a nine must be one eleventh.

To write the what is wrong with  Bob's reasoning.

Now, According to the question:

In the probability:

He rolled 11 times:

So, we can represent the \(w_2\) is the outcome with the sum of pints in two die are 2.

Then the probability is:

\(P(w_2 = 2) = (\frac{1}{6} ).(\frac{1}{6} )=\frac{1}{36}\neq \frac{1}{11}\)

So, in the question given that :he​ reasoned, the probability of rolling a nine must be one eleventh but bob is wrong because the probability is 1/36 which is not equal to 1/11.

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Answer:

2

to find the slope you get the rise which is the difference between the y coordinates over the run which is the difference between the x coordinates. so 6/3=2

well we know the line will be equal to 180 degrees so we will have an equation like this

x+100+3x=120

we subtract 100 from 180 to get 80.

180-100=80

however x cannot be 80 bc we still have the 3x.

when you do the math, you will see that 20 times 3 is 60.

20×3=60

going even further we see that 60 plus 20 is 80

60+20=80

so to check our work, lets solve this equation

20+100+3×20=180

20+100=120

3×20=60

120+60=180

so your answer is x=20

The costs will be the same for both companies if they produce and distribute 1250 brochures.

To find the number of brochures for which the costs are the same for both companies, we need to set the total cost equations for the two companies equal to each other:

$100 + 0.06x = $75 + 0.08x

Subtracting $75 and 0.06x from both sides, we get:

$25 = 0.02x

Dividing both sides by 0.02, we get:

x = 1250

So, the costs will be the same for both companies if they produce and distribute 1250 brochures.

The method used to get the answer is setting the total cost equations of the two companies equal to each other and solving for the number of brochures.

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\(The sum \[\sum\limits_{k = 1}^5 {k\left( {9k + 7} \right)} \] can be calculated as follows:\[\begin{array}{l} \sum\limits_{k = 1}^5 {k\left( {9k + 7} \right)} \\ = \sum\limits_{k = 1}^5 {9{k^2}} + \sum\limits_{k = 1}^5 {7k} \\ = 9\sum\limits_{k = 1}^5 {{k^2}} + 7\sum\limits_{k = 1}^5 k \end{array}\]\)

\(Using the formula for the sum of the first n natural numbers, \[\sum\limits_{k = 1}^n k  = \frac{n\left( {n + 1} \right)}{2}\]\)and\(the formula for the sum of the first n squares, \[\sum\limits_{k = 1}^n {{k^2}}  = \frac{n\left( {n + 1} \right)\left( {2n + 1} \right)}{6}\]\)

\(we have: \[\sum\limits_{k = 1}^5 k  = \frac{5 \cdot 6}{2} = 15\]and \[\sum\limits_{k = 1}^5 {{k^2}}  = \frac{5 \cdot 6 \cdot 11}{6} = 55.\]\)

\(Therefore, we have: \[\begin{array}{l} \sum\limits_{k = 1}^5 {k\left( {9k + 7} \right)} \\ = 9\sum\limits_{k = 1}^5 {{k^2}} + 7\sum\limits_{k = 1}^5 k \\ = 9 \cdot 55 + 7 \cdot 15 \\ = 495 + 105 \\ = 600 \end{array}\]\)

Hence, the simplified sum is 600.

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Pressure = Force/Area

According to question, we have

18 = Force/4

force = 72 N

Answer:

44

Step-by-step explanation:

To keep the BFS optimal, we can increase c1 up to a value where the shadow price (λ) is positive. If we increase c1 beyond this value, the shadow price will become negative and the BFS will no longer be optimal.

(a). To determine the range of c1, the objective coefficient of x1, for which this BFS remains optimal, we can use the concept of shadow prices. The shadow price of a variable represents the rate of change in the objective function value with respect to a one-unit increase in the right-hand side of the corresponding constraint.

Since the current optimal solution is at x1 = 3, we need to evaluate the shadow price of the first constraint at this solution. Let's assume the shadow price of the first constraint is denoted by λ.

The first constraint is: x1 + x2 ≤ 5

To keep the BFS optimal, we can increase c1 up to a value where the shadow price (λ) is positive. If we increase c1 beyond this value, the shadow price will become negative and the BFS will no longer be optimal.

(b). Similarly, to determine the range of b2, the right-hand side of the second constraint, for which this BFS remains optimal, we need to evaluate the shadow price of the second constraint. Let's assume the shadow price of the second constraint is denoted by μ.

The second constraint is: x1 + x2 ≤ 3

To keep the BFS optimal, we can increase b2 up to a value where the shadow price (μ) is positive. If we increase b2 beyond this value, the shadow price will become negative and the BFS will no longer be optimal.

(c). The dual price of the second constraint represents the rate of change in the objective function value with respect to a one-unit increase in the right-hand side of the second constraint. Since the optimal solution remains the same, the dual price of the second constraint remains the same as well.

Therefore, the dual price of the second constraint will be the same as the shadow price (μ) calculated in part (b).

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