In a right triangle, sin (4x + 3)° = cos (8x + 10)°. Solve for x. Round your answer
to the nearest hundredth if necessary.

Answer:

The number is 31

Step-by-step explanation:

Let the number be x

Subtract 12 from the number = x - 12

Then multiply the difference by -7 = (-7)*(x - 12)

(-7)(x - 12) = -133

-7x - 12*(-7) = -133      

-7x  + 84    = - 133

           -7x = -133 - 84

          -7x  = -217

             x  = -217/-7

            x = 31

The probability of getting a hand with all four 2's is approximately 0.00648

The probability of drawing a single 2 from a deck of 52 cards is 4/52, or 1/13. Since there are four 2's in the deck, the probability of drawing all four 2's in a five-card hand is:

(4/52) × (3/51) × (2/50) × (1/49) = 0.000002641

This is a very small probability, which makes sense because it is highly unlikely to draw all four 2's from a deck of cards.

However, we also need to consider the number of possible five-card hands that can be drawn from a deck of 52 cards. This is given by the combination formula:

C(52,5) = 52! / (5! × (52-5)!) = 2,598,960

Therefore, the probability of drawing a five-card hand that contains all four 2's is:

(4/52) × (3/51) × (2/50) × (1/49) × (2,598,960) = 0.00648

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The given question is incomplete, the complete question is:

A simple random sample of size five is selected from 52 cards. Find the probability of  five-card hand contains all four 2's

The given statement "A successful proof can indeed turn a conditional statement into a theorem.'' is true because a successful proof can transform a conditional statement into a theorem by providing a logical and rigorous demonstration of its truth based on the given hypothesis.

In mathematics, a conditional statement is a proposition that asserts a relationship between two or more mathematical objects or concepts. It consists of a hypothesis and a conclusion.

A conditional statement is typically expressed in the form "If A, then B," where A represents the hypothesis and B represents the conclusion.

To establish a conditional statement as a theorem, one needs to provide a valid proof that demonstrates the truth of the statement. A proof is a logical argument that follows a series of logical deductions from axioms, definitions, and previously established theorems.

When a proof is successfully constructed for a conditional statement, it provides rigorous justification for the truth of the conclusion based on the given hypothesis.

By demonstrating the logical validity and coherence of the argument, the proof confirms the truth of the conditional statement and establishes it as a theorem.

The process of proving a conditional statement involves carefully reasoning through logical steps, utilizing mathematical principles and logical inference rules.

It requires precise and accurate reasoning, ensuring that each step in the proof is valid and consistent with the underlying mathematical framework.

Once a conditional statement has been proven, it is elevated to the status of a theorem. Theorems are fundamental results in mathematics that have been rigorously proven and hold true within a given mathematical system.

They serve as building blocks for further mathematical investigations and form the foundation of mathematical knowledge.

In summary, a successful proof can transform a conditional statement into a theorem by providing a logical and rigorous demonstration of its truth based on the given hypothesis.

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Answer: A (3,10)

Source : i made it up

Answer:

La ecuación punto-pendiente de la recta que pasa por los puntos P1 (1,6) y P2 (4,0) es:

Primero, encontramos la pendiente de la recta utilizando la fórmula:

m = (y2 - y1) / (x2 - x1)

m = (0 - 6) / (4 - 1) = -2

Luego, utilizamos la fórmula punto-pendiente de la recta:

y - y1 = m(x - x1)

y - 6 = -2(x - 1)

y - 6 = -2x + 2

y = -2x + 8

Por lo tanto, la ecuación punto-pendiente de la recta que pasa por los puntos P1 (1,6) y P2 (4,0) es y = -2x + 8.

Step-by-step explanation:

Answer:

7.25*10^4 let me know if it is wrong

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZz

Answer:

0.5

Step-by-step explanation:

Answer:The answer is A

Step-by-step explanation:

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

This is due to the fact that the merry-go-round's passengers are being held in orbit by a gravitational force similar to that experienced by stars in a galaxy. People riding on a merry-go-round that is spinning. Thus, option D is correct.

The action that would best model the role gravity plays in the motions of stars within a galaxy is D. People riding on a merry-go-round that is spinning.

This is because, like stars in a galaxy, the riders on the merry-go-round are experiencing a gravitational force that keeps them in orbit around a central point.

This force, which is proportional to the mass of the objects and inversely proportional to the square of the distance between them, is similar to the force that holds stars in orbit around the centre of a galaxy.

The other options do not accurately model this gravitational force in the same way as a spinning merry-go-round.

Therefore, people riding on a merry-go-round that is spinning.

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The area occupied by the garden is 185 square feet.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Given:

Base = 10 feet, height = 8 feet

First, Area of Garden without patio

= 15 x 15

= 225 square feet.

Now, The patio is in the shape of a triangle which has a height of 8 feet and a base length of 10 feet.

So, Area of triangular patio

= 0.5 x 8 x 10

= 0.5 x 80

= 40 square feet.

Then, Actual Area of garden

= area of garden without patio - area of patio

= 225 square feet - 40 square feet

= 185 square feet.

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The equation y = x^2 represents a curve in IR^2 known as a parabola. This curve has a U-shaped structure, with the vertex at the origin (0, 0). The parabola opens upward as x^2 is always non-negative. The correct answer is e. parabola.

The equation y = x^2 represents a parabola as a curve in IR^2. A parabola is a U-shaped curve that opens either upwards or downwards, depending on the sign of the coefficient of the squared term. In this case, the coefficient is positive, so the parabola opens upwards. The vertex of the parabola is at the origin (0,0) and it extends infinitely in both the positive and negative x and y directions. The graph of the equation y = x^2 is a smooth curve that passes through the point (1,1) and (-1,1) in the first quadrant and third quadrant respectively. In, this is how the equation y = x^2 represents a parabola as a curve in IR^2.
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Answer:

i think it is 42000 but i could be wrong

Step-by-step explanation:

As per the given confidence interval, the value of P is lees than significant.

Confidence interval:

In statistics, a range around a measurement that conveys how precise the measurement is referred as confidence interval.

Given,

A precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance.

Here we need to find the assumptions of the given situation,

From the given question we have identified the following,

Reading of instruments = 353, 351, 351, and 355.

Confidence interval = 90% = 0.09

Number of units = 2.

Based on these details, the standard deviation of this temple is 0.7.

So, the Z score is the same as the sample mean minus the population mean divided by the standard error, which is 2.857.

Therefore, P value was less than significant.

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Heuristics refers to rules of thumb that simplify the decision-making process. Heuristics are mental shortcuts that help individuals make decisions quickly, often relying on previous experience or intuition rather than a more systematic approach.

While heuristics can be useful, they can also lead to biases and errors in judgment if they are applied too broadly or without careful consideration. It is important to be aware of these heuristics and how they can affect decision-making processes, especially in complex or high-stakes situations where careful consideration is necessary.

The answer is C.

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Answer:

? equals 80

Step-by-step explanation:

The possible length of the rectangular garden is L ≥ 6225ft which has a perimeter of 540 feet,

The interior angles of a four-sided polygon are all 90 degrees. At each corner or vertex, the two sides meet at a right angle. The rectangle varies from the square in that its two opposite sides are of equal length.

Let L represent the garden's length.

Let W represent the garden's width.

The perimeter is 540 feet.

The rectangle's perimeter is equal to 2(L + W) = 540

L + W = 270      ....(i)

W = 270 - L      ....(ii)

The rectangle's area is equal to its length times its width, which is given  12000 square feet.

L × W ≤ 12000  ....(iiI)

Substitute the value of equation (ii) into (iii)

(270 - L)(L)   ≤   12000

270l  -  L²  ≤   12000

0   ≤  L²  -  270l +  12000

L²  -  270l  +  1200  ≥  0

Solving the quadratic inequality above, and we get

L ≥  6225

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Answer:

Step-by-step explanation:

Function given by the table represents a linear function.

a). Since, slope of a linear function passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is,

Slope = \(\frac{y_2-y_1}{x_2-x_1}\)

Slope of the linear function passing through two points (0, -5) and (2, 1) will be,

Slope = \(\frac{1+5}{2-0}=3\)

b). Let the equation of the function is,

y = mx + b

Where m = slope of the function

b = y-intercept

Here slope of the function 'm' = 3

y-intercept of he function = -5 [y-value of the function at x = 0]

Therefore, the function is,

y = 3x - 5

The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.

A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).

Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.

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Answer:

Target has the best deal.

Step-by-step explanation:

Target gives you a sale of $1.46 per gum

While Meijer gives you a sale of $1.51 per gum

So Target has the best bargain

Answer:

It would be a simple sentence, since it is a single clause by itself.

Note that this is something for the Language Arts section, please post your questions of that topic in that section, not in the Math section.

If you select a marble without looking and then put it back if you do this 90 times, the probability of selecting an orange or a pink marble on any given trial is 1/2 or 0.5.

If you select a marble without looking and then put it back, the probability of selecting any particular marble on any given trial is the same for all marbles. Assuming there are only two possible outcomes - selecting an orange marble or a pink marble - the probability of selecting an orange or a pink marble on any given trial is 1/2 or 0.5.

Since the probability of selecting an orange or a pink marble on each trial is the same, the best prediction for the number of times you will select an orange or a pink marble out of 90 trials is an equal number of times for each color. Therefore, the best prediction for the number of times you will select an orange or a pink marble is 45 times each.

This is only a prediction based on probability, and the actual number of times you select an orange or a pink marble may differ from the prediction due to chance. However, over a large number of trials, the actual outcomes should approach the predicted probabilities.

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56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer:

12/6 simplified to lowest terms is 2/1.

Step-by-step explanation:

Divide both the numerator and denominator by the HCF

12 ÷ 6

6 ÷ 6

Reduced fraction:

12/6 simplified to lowest terms is 2/1.

Answer: 2:1

Step-by-step explanation:

12:6

Both left and right can be divided by 6, like a fraction, reduce.

= 2:1

Answer:

1.1.1: A dozen means 12, so approximately a dozen of mangoes will cost:

12 x R7.80 = R93.60

1.1.2: If the cost of one mango is increased by 2%, the new cost of one mango will be:

R7.80 x 1.02 = R7.96

1.2.1: If the farmer reduces the cost of each mango by 5.5%, the new cost of one mango will be:

R7.80 x 0.945 = R7.37 (rounded to two decimal places)

To show the calculation:

5.5% of R7.80 = 0.055 x R7.80 = R0.429

The reduced price of each mango = R7.80 - R0.429 = R7.371

Rounded to two decimal places, the reduced price of each mango is approximately equal to R7.37.

The cost of a dozen of mangoes is $93.60.

The new cost of one mango is 7.956.

The reduced price of each mango is approximately $7.37.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

A dozen of mangoes means 12 mangoes.

So, the cost of a dozen of mangoes can be calculated by multiplying the cost of one mango by 12:

Cost of a dozen of mangoes.

= 12 x 7.80

= $93.60

So, it will cost approximately $93.60 for a dozen of mangoes.

If the cost of one mango is increased by 2%, then the new cost of one mango can be calculated as follows:

The new cost of one mango.

= 7.80 + (2/100) x 7.80

= 7.956

So, the cost of one mango after the increase is approximately $7.96.

If the farmer has decided to reduce the cost of each mango by 5.5%, then the new cost of one mango can be calculated as follows:

The new cost of one mango.

= 7.80 - (5.5/100) x 7.80

= 7.3716

Rounding this answer to two decimal places gives:

The new cost of one mango = $7.37

So, the reduced price of each mango is approximately $7.37.

Thus,

The cost of a dozen of mangoes is $93.60.

The new cost of one mango is 7.956.

The reduced price of each mango is approximately $7.37.

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In a transformation called a translation, the pre-image is slid either vertically or horizontally.

A translation is a type of transformation in geometry where the pre-image (original figure) is moved or slid to a new position in a specific direction. The movement can be either vertical or horizontal.

When a pre-image is translated vertically, it means that it is moved up or down without any change in its orientation. The entire figure maintains the same shape and size, but its position on the coordinate plane is shifted vertically.

On the other hand, when a pre-image is translated horizontally, it is moved left or right while preserving its original shape and size. The orientation of the figure remains the same, but its position on the coordinate plane is shifted horizontally.

In both cases, the translation occurs without any rotation, reflection, or resizing of the pre-image. The resulting image is a new figure that is congruent to the original but located at a different position on the plane.

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Answer:

angle mkn and okn

Step-by-step explanation:

beacuse both of them are 90 degree to each other and hence the sum of two 90 degree angle is 180 which is supplementary

Answer:

.... thats alot there buddy ...

Step-by-step explanation:

Answer:

vertex = (- 1, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \(\frac{b}{2a}\)

y = x² + 2x - 3 ← is in standard form

with a = 1, b = 2 , then

x = - \(\frac{2}{2}\) = - 1

Substitute x = - 1 into the equation for corresponding value of y

y = (- 1)² + 2(- 1) - 3 = 1 - 2 - 3 = - 4

vertex = (- 1, - 4 )

The inequality that models the question we have here is j > 300

The inequality that models the story is j > 300. This inequality represents the fact that Nancy needs to guess a number greater than 300 in order to win the game.

To graph this inequality, we would start by plotting the point (300,0) on the coordinate plane. Then, we would draw a line extending to the right of that point and add an arrow on the end to indicate that the solution includes all numbers greater than 300.

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