Solve the equation sin(S - 20%) = cos(429) for x, where 0 ОА.
68
OB
28
ОС,
62
OD 22

The coterminal angles of 5π/6 are 17π/6 and -7π/6.

We have,

A coterminal angle is an angle that ends at the same position as another angle on a standard coordinate plane.

Now,

To find coterminal angles, we can use the concept of adding or subtracting integer multiples of 2π (or 360 degrees) to the given angle. This is because adding or subtracting a full revolution (360 degrees or 2π radians) does not change the position of the angle on the coordinate plane.

In the case of the angle 5π/6, to find its coterminal angles, we can add or subtract multiples of 2π.

Adding 2π to the angle:

5π/6 + 2π = 5π/6 + 12π/6 = 17π/6

Subtracting 2π from the angle:

5π/6 - 2π = 5π/6 - 12π/6 = -7π/6

Therefore,

The coterminal angles of 5π/6 are 17π/6 and -7π/6.

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Hello !

Answer:

\( \boxed{h = 6}\)

Step-by-step explanation:

He has grown :

We also know that in total, he has grown 11 vegetables.

We will have to solve an equation !

\(h + 2h + 5 = 11\)

\( \iff3h + 5 = 11\)

We want to isolate h.

\(3h + 5 - 5= 11 - 5 \\ \iff3h = 6 \\ \iff \frac{3h}{3} = \frac{6}{3} = 2\)

The value of h is 2.

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Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.

Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.

To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:

(20 + x) / (35 + x) = 80 / 100

Cross-multiplying, we get:

100(20 + x) = 80(35 + x)

Expanding and simplifying:

2000 + 100x = 2800 + 80x

Subtracting 80x from both sides:

20x = 800

Dividing by 20:

x = 40

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

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Answer: 87

Step-by-step explanation:

x - 46 = 41

x = 87

Answer:

4.326 x 10^ 3

Step-by-step explanation:

Correct me if wrong please :)

The number of cups in 44 oz is \(5\frac{1}{2}\) as a mixed measure.

We have,

There are different types of mixed measures, but one common one is the mixed number and fraction form.

To convert 44 oz. to a mixed number and fraction, you need to divide the total amount by the size of each unit in the mixed measure and express the result as a whole number and a fraction.

For example,

If the units are cups and there are 8 oz. in a cup, then:

= 44 oz ÷ 8 oz / cup

= 5.5 cups

So

44 oz. is equivalent to 5 cups and 12 oz.

or

44 oz. =  \(5\frac{4}{8}\) cups = 5 1/2 cups

Thus,

The number of cups in 44 oz is \(5\frac{1}{2}\) as a mixed measure.

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Answer:

n - 5

Step-by-step explanation:

have a good day :)

Answer:

n-5

Step-by-step explanation:

first stated should be at first, and second stated will be at second.

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We have the following "Three times a number minus seven":

The answer is 3*n - 7, where n is a number.

I think you're asking for an equation? If so, the answer would be 3x - 7. Hope this helps! :)

Answer:

B. $7.50

Step-by-step explanation:

We know profit or P-----P(n) where n is the quantity/number of the item) is the difference of the revenue-----R(n)-----and the cost-----C(n)

P(n) = R(n) - C(n)

Revenue is

R(n) = pn

Cost is a combination of

The cost function resembles a linear equation:

C(n) = mn + c

Since we're shown that P = 7.5n - (2.25n + 15), we know that R(n) must be R(n) = 7.5n and C(n) must be C(n) = 2.25n + 15

Thus, we know she charges $7.5 per necklace sold.

The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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The given equations represent the solutions of 0 = 0.25x² - 8x

An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.

Redirecting to answer:

The equation 0 = 0.25x² - 8x can be rewritten as:

0.25x² - 8x = 0

Factoring out x gives:

x(0.25x - 8) = 0

So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.

Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x

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The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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If initial sample of 458 grams of a radioactive substance decays according to the function \(A(t)=458e^{-0.038t}\) then the half-life of the substance is 0.

Half-life is the time required for a quantity (of substance) to reduce to half of its initial value.

Given,

An initial sample of 458 grams of a radioactive substance decays according to the function

\(A(t)=458e^{-0.038t}\)

We need to find the half life

\(458=458e^{-0.038t}\)

Divide both sides by 458

\(1=e^{-0.038t}\)

Take log on both sides

\(log1=-0.038t\)

0=-0.038t

t=0

Hence, the half-life of the substance is 0.

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Answer:

f(3)=0

Step-by-step explanation:

its a mathematics formula its ia trick

The distance between the points are matched as;

1. 10. 6

2. 7. 6

3. 7. 1

Using the Pythagorean theorem, we have that the square of the hypotenuse side is equal to the sum of the squares of the other two sides, we have that;

1. Opposite = 8

Adjacent = 7

Substitute the values

x² =8² + 7²

Find the square

x² = 64 + 49

x = √113

x = 10. 6

2. x²= 3² + 7²

Find the square value

x² = 9 + 49

x² = 58

Find the square root

x = 7. 6

3. x² = 5² + 5²

find the value

x² = 50

x = √50

x = 7. 1

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The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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Answer:

11,356 ml.....................

Answer:

5x-2y =80

x+y=30

Step-by-step explanation:

Basically, 5x is the points earned by correct questions (5 points per right answer) and -2x is the points lost by wrong answers (2 points taken away for every wrong answer). The total points the contestant earned is 80, which is why we set this equation equal to 80. Hence, 5x-2y=80.

They also tell us that the contestant answered a total of 30 questions, so x and y combined would be the total number of questions. Hence, x+y=30.

Answer:

5x-2y =80

x+y=30

Step-by-step explanation:

This situation can be represented by a system of two linear equations, with one equation representing the number of points earned and one equation representing the number of questions answered.

First, determine the equation representing the number of points earned.

Since contestants earn 5 points for every correct answer and x is the number of questions answered correctly, 5x represents the amount of points earned from correct responses. Since contestants lose 2 points for every incorrect answer and y is the number of questions answered incorrectly, 2y represents the amount of points lost from incorrect responses.

The amount of points earned minus the amount of points lost yields the total number of points at the end of the game, 80.

Next, determine the equation representing the number of questions answered.

Since x represents the number of questions answered correctly and y represents the number of questions answered incorrectly, the sum of these values equals the total number of questions, 30.

Together, these two equations create the system that can be used to determine the number of questions answered correctly and the number of questions answered incorrectly by the contestant in this situation.

48 boards

Step-by-step explanation:

length of a board = 5½ in = 11/2

Total length should be covered = 22 ft = 264 in (1ft = 12in)

total boards needed = 264 ÷11/2

= 264 × 2/11

= 24 ×2

= 48 boards

please please please please please please

Answer:

1360322

Step-by-step explanation:

do ot nowwwwwwwww

To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4

For x = -1, y = 4(4)^(-1) = 4(1/4) = 1

For x = 0, y = 4(4)^0 = 4(1) = 4

For x = 1, y = 4(4)^1 = 4(4) = 16

For x = 2, y = 4(4)^2 = 4(16) = 64

Now we can plot these points on a coordinate plane and connect them to form the graph of the function.

The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.

The domain of the function is all real numbers since there are no restrictions on the values of x.

The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.

Answer: yes

Step-by-step explanation:

Answer:

\(54\)

Step-by-step explanation:

Formula for average A of two numbers m and n is:

\(A=\frac{m+n}{2}\)

Substitute the value m=36 and n=72

\(A=\frac{36+72}{2}\)

This is equivalent to:

\(A=\frac{108}{2}\)

The average is:

\(A=54\)

________________________________

________________________________

Answer:

\(Raisins : Pretzels = 1 : 2\)

\(Almonds: Raisins = 3 : 1\)

Step-by-step explanation:

Given

\(Raisins = 2\)

\(Pretzels = 4\)

\(Almonds = 6\)

Solving (a):

Ratio of Raisins to Pretzels

\(Raisins : Pretzels = 2 : 4\)

Divide 2 and 4 by 2

\(Raisins : Pretzels = 2/2 : 4/2\)

\(Raisins : Pretzels = 1 : 2\)

Solving (b):

Ratio of Almonds to Raisins

\(Almonds: Raisins = 6 : 2\)

Divide 2 and 6 by 2

\(Almonds: Raisins = 6/2 : 2/2\)

\(Almonds: Raisins = 3 : 1\)

Answer:

raisins: pretzels=1:2

Almonds: raisins=3:1

Answer:

GM = 18

Step-by-step explanation:

JK = KL = 2

GJ = LM =7

GM = 7+2+2+7 = 18!

So the answer it is 18.

Answer:

51

Step-by-step explanation:

Step-by-step explanation:

bonjour quelqu'un peut-il se joindre à zo om Numéro d'identification 77974021488 le mot de passe 9taPHH

The correct expression which show the points Roopesh earns if two beanbags land on the board will be;

⇒ 2 × 2

or 2 + 2

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that,

In a bean bag toss game, players earn 2 points for each beanbag that lands on the game board and 5 points for each bean bag that lands in the hole.

Since, Roopesh dropped the bag on land for two times, and points for bag landing is 2.

Therefore, We get;

His score will be,

⇒ 2 × 2

or 2 + 2

Therefore, We get;

The correct expression which show the points Roopesh earns if two beanbags land on the board will be;

⇒ 2 × 2

or 2 + 2

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