Given right triangle MNL, what is the value of cos(M)? Three-fifths Three-fourths Four-fifths Five-thirds

Answer:

It's a 30-60-90 triangle so x=6

Step-by-step explanation:

Answer:

90 I think bc I saw the right angle

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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In Animal Farm, Boxer, many piglets, hens, and a lot of other nameless creatures all perish under Napoleon's tyranny.

The framework, the structure, within which a story is produced, is known as the plot of a story. It almost acts as the blueprint for how all the many parts of a literary work fit together to form a finished product. The five elements that make up a story's plot are as follows: the introduction, also known as exposition, in which the reader is given background information on the narrative's characters and setting as well as other essential details.

The three main parts of a story are the rising action, the climax, and the falling action. The rising action is when the writer builds up the information and develops the story to lead the reader to the story's crucial point. The climax is essentially the heart of the story and the point at which the action reaches its highest pitch. To prepare for the story's conclusion, the loose ends also start to be tied off. The conclusion of the story, or resolution, comes last.

Boxer is now known as the most pitiful of Orwell's characters because of his death in this chapter. Napoleon has completely brainwashed him; as a result, he lives (and dies) for the benefit of the farm, whose boss sells him to a knacker as soon as he becomes unfit for labor.

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Answer:

15 = 2x - 3y

Step-by-step explanation:

We have the two points P1(3,-3) and P2(9,1).

First, calculate the slope between those points:

slope \(= \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{9 - 3} = \frac{4}{6} = \frac{2}{3}\)

Now simply move 3 steps from (3,-3) towards the y-axis to get the intersection with the y-axis (each step reduces x by 1 and applies the slope to the y-value):

(3,-3)

---> (2, -3 - (2/3)) = (2,-3 2/3)

---> (1, (-3 2/3) - 2/3) = (1, -4 1/3)

---> (0, (-4 1/3) - 2/3) = (0,-5)

This tells us, that our line intersects the y-axis at (0,-5).

The general form of a line is f(x) = <SLOPE> * x + <Y-VALUEATXEQUALSZERO>.

In our case: f(x) = y = (2/3)x -5.

To get it into the correct form, we simply subtract y from both sides and get:

0 = (2/3)x - y - 5

To get only integers just multiply everything with 3 and add 15 and get:

15 = 2x - 3y, which fulfils the form asked for in the problem.

Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:

t = 0.1: y ≈ 1.1

t = 0.2: y ≈ 1.22

t = 0.3: y ≈ 1.34

t = 0.4: y ≈ 1.47

t = 0.5: y ≈ 1.61

To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:

Yn = Yn-1 + h * F(Xn-1, Yn-1)

Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.

For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.

Using the initial condition y(0) = 1, we can proceed with the calculations:

t = 0.1:

Y1 = Y0 + h * F(X0, Y0)

= 1 + 0.1 * [(2 - e^1) / 2]

≈ 1 + 0.1 * (2 - 0.368) / 2

≈ 1 + 0.1 * 1.316 / 2

≈ 1 + 0.1316

≈ 1.1

Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.

Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.

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The maximum height attained by a projectile that moves upward and then falls back to its starting location is known as the maximum height.

The initial velocity of the tennis ball that is fired vertically upward from the ground is 29 m/s, and the acceleration due to gravity \(is -9.81 m/s^2\).Let's calculate the maximum height first .Maximum height \((h) = u²/2g\) (where u is the initial velocity and g is the acceleration due to gravity)\(h = (29)²/(2 × 9.81)= 42.24\)meters So, the maximum height that the tennis ball can reach is 42.24 meters.

the formula\(v = u + gt, we can determine the velocity of the tennis ball after 3 seconds. v = u + gtv = 29 + (-9.81 × 3)v = 29 - 29.43v = -0.43 m/s\)Therefore, the velocity of the tennis ball after 3 seconds is -0.43 m/s (downward).Hence, the answer is that the velocity of the ball after 3.0 seconds of the acceleration due to gravity is -0.43 m/s.

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The point on the graph f(x) = 3.4ˣ is (0, 1)

None of the given options is correct.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.

To determine which point is on the graph of f(x) = 3.4ˣ, we need to substitute the given x-coordinate into the function and see if we get the given y-coordinate.

Let's try each option:

A. (1, 12): f(1) = 3.4¹ = 3.4, so this point is not on the graph of f(x) = 3.4ˣ.

B. (0, 12): f(0) = 3.4⁰ = 1, so this point is not on the graph of f(x) = 3.4ˣ.

C. (12, 1): f(12) = 3.4¹² ≈ 108089.7, so this point is not on the graph of f(x) = 3.4ˣ.

D. (0, 1): f(0) = 3.4^0 = 1, so this point is on the graph of f(x) = 3.4ˣ.

Therefore, the point (0, 1) is on the graph of f(x) = 3.4ˣ. The answer is option D.

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The value of x is in the solution set of 4x - 12 ≤ 16+8x is x ≥ -7.

Given inequality:

⇒ 4x - 12 ≤ 16+8x

rearranging the like terms

4x - 8x - 12 ≤ 16

4x - 8x ≤ 16+12

-4x ≤ 16+12

-4x ≤ 28

divide by 4 on both sides

-4x/4 ≤ 28/4

-x ≤ 28/4

-x ≤ 7

x ≥ -7.

Therefore the value of x is in the solution set of 4x - 12 ≤ 16+8x is x ≥ -7.

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If the average velocity is doubled in turbulent flow through a square channel with smooth surfaces, the change in the head loss of the fluid can be determined by considering the relationship between the head loss and the friction factor. The correct answer is: The head loss decreases by a factor of 3.48.

The head loss in a fluid flow is proportional to the friction factor, and the friction factor is dependent on the average velocity. When the average velocity is doubled, the friction factor can be calculated using the given equation. By substituting the new velocity into the equation, we find that the new friction factor is approximately 0.184 * (2)^(-0.2) = 0.116.

Since the head loss is proportional to the friction factor, when the friction factor decreases from 0.184 to 0.116, the head loss decreases by a factor of 0.116/0.184 ≈ 0.631 or approximately 3.48. Therefore, the head loss decreases by a factor of 3.48.

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If the average velocity is doubled in turbulent flow through a square channel with smooth surfaces, the change in the head loss of the fluid can be determined by considering the relationship between the head loss and the friction factor. The correct answer is: The head loss decreases by a factor of 3.48.

The head loss in a fluid flow is proportional to the friction factor, and the friction factor is dependent on the average velocity. When the average velocity is doubled, the friction factor can be calculated using the given equation. By substituting the new velocity into the equation, we find that the new friction factor is approximately 0.184 * (2)^(-0.2) = 0.116.

Since the head loss is proportional to the friction factor, when the friction factor decreases from 0.184 to 0.116, the head loss decreases by a factor of 0.116/0.184 ≈ 0.631 or approximately 3.48. Therefore, the head loss decreases by a factor of 3.48.

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1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it is a prime number. While there are several prime numbers between 1 and 75, it is not guaranteed that the number she calls will be prime. However, given the range of numbers, the probability of calling a prime number is relatively high.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it is a perfect square. Perfect squares are numbers that can be expressed as the square of an integer. In the range of 1 to 75, there are only a few perfect squares, so the chances of calling one as the bingo number are relatively low, but not impossible.

3. An event that is certain to happen for the number Kenisha calls is that it will be an integer. Since the game is played with whole numbers from 1 to 75, the number called will always be an integer, as it represents a specific whole number in the given range.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The solution is given below.

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it will be an odd number. Since there are 75 numbers in total and half of them are odd, there is a higher probability that the number called will be odd.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it will be a perfect square. There are only a few perfect square numbers between 1 and 75, so the chances of calling a perfect square number are lower compared to other numbers.

3. An event that is certain to happen for the number Kenisha calls is that it will be a number between 1 and 75. Since the numbers in the game range from 1 to 75, any number called by Kenisha will definitely fall within this range.

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Hey there! :)

Answer:

y = (x + 6)².

Step-by-step explanation:

Recall that the transformations form of a parabola is:

y = ±a (b(x-h))+k where (h, k) are the coordinates for the vertex.

In this instance, the parabola has a vertex at (-6, 0). Therefore:

h = -6, k = 0.

The only equation given that satifies these conditions are:

y = (x + 6)².

Step-by-step explanation: Notice that one

of the angles is greater than 90° or obtuse.

Therefore, we call this an obtuse triangle.

Answer:

obtuse angle

Step-by-step explanation:

has an angle that isgreater than 90°

Answer:

(x1,y1) = (2x - x2, 2y - y2)

Step-by-step explanation:

Given:

Midpoint = (x , y)

End point = (x2, y2)

Find:

(x1, y1)

Computation:

Mid-point formula

x = (x1 + x2) / 2 , y = (y1 + y2) / 2

So,

2x = x1 + x2 , 2y = y1 + y2

x1 = 2x - x2 , y1 = 2y - y2

So,

(x1,y1) = (2x - x2, 2y - y2)

The null hypothesis (H0) in this case would be that the data analytics firm's practices did not have any effect on increasing voter turnout among registered Republicans. In other words, there is no difference in voter turnout before and after the candidate ran for office.

The alternative hypothesis (Ha) would be that the data analytics firm's practices were successful in increasing voter turnout among registered Republicans. This means that there is a difference in voter turnout before and after the candidate ran for office, and this difference can be attributed to the firm's practices.

To summarize:
Null hypothesis (H0): The data analytics firm's practices did not have any effect on increasing voter turnout among registered Republicans.
Alternative hypothesis (Ha): The data analytics firm's practices were successful in increasing voter turnout among registered Republicans.

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Answer:

2

Step-by-step explanation:

37x+106=180

37x=74

x=2

The value of angle G in the quadrilateral is 98⁰.

In a quadrilateral, opposite angles are the angles that are opposite to each other when the two diagonals are drawn. Adjacent angles are angles that are next to each other.

One special property of opposite angles of a quadrilateral is that they are equal in measure. This property is known as the "opposite angles of a quadrilateral are equal" theorem.

The value of angle G is calculated as follows;

based on the given shape, angle I is equal to angle G.

m∠I = m∠G = x

x + x + 92 + 72 = 360 ( sum of angles in a quadrilateral)

2x + 164 = 360

2x = 196

x = 196 / 2

x = 98⁰

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In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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\((7d+6)-(-3d-5) \\ \\ =7d+6+3d+5 \\ \\ =\boxed{10d+11}\)

In the given scenario ladder is 6.52 feet long.

Given that,

The angle between ground and ladder = 62 degree

The distance of ladder from ground and ladder = 3 feet

We have to find the length of  ladder.

Since we know that,

The trigonometric ratio

cosθ = adjacent/ Hypotenuse

Here we have,

Adjacent =  3 feet

Hypotenuse = length of ladder

Thus to find the length of ladder we have to find the value of hypotenuse.

Therefore,

⇒ cos62 = 3/ Hypotenuse

⇒    0.46 = 3/ Hypotenuse

⇒ Hypotenuse =  3/0.46

                          = 6.52

Thus,

length of ladder  = 6.52 feet.

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According to the given figure, angle 1 is a right triangle, it means that it measures 90°.

Regarding angle 2, we can use the triangle sum theorem to find it. It states that the sum of the interior angles of a triangle is 180°.

The answers are:

m-angle1=90°

m-angle2=63°

Answer:

5100

Step-by-step explanation:

2,100 / 7 = 300

= 300 into 17

= 5100 tickets

Answer:

200 stones.

Step-by-step explanation:

Given that the verandah is 40 meters long by 15 meters wide, and that it is going to be paved with stones that measure 6 decimeters by 5 decimeters, to determine the amount of stones that should be used, the following calculation must be performed:

1 m = 10 dm

Verandah's surface: 40 x 15 = 600m2

Stones' surface: 6 x 5 = 30dm2 = 3m2

600/3 = X

200 = X

Therefore, 200 stones should be used to pave the entire verandah.

Answer:

16x + 8y -3/2

Step-by-step explanation:

The expression can be represented mathematically as follows.

-2(-8x - 4y + 3/4) = - 10x - 8y - 1 1/4

-2(-8x - 4y + 3/4) = - 10x - 8y - 5/4

The first way to solve this expression is by opening the bracket by multiplying the outside values by the inner values.

-2(-8x - 4y + 3/4)

Multiply -2 by all the values in the brackets

-2 × - 8x = 16x not - 10x

-2 × - 4y = 8y not -8y

-2 × 3/4 = -6/4 = - 3/2  not -5/4

Bringing the value together the expected answer will be 16x + 8y -3/2 and not  - 10x - 8y - 5/4.

Answer

A, B, and C

Step-by-step explanation:

Hope this helps!

A circle can be defined as a geometric shape consisting of all points in a plane that are equidistant from a given point, which is known as the center. The distance between the center of the circle and any point on the circle is referred to as the radius.

In order to find the center and radius of a circle, we need to have three points on the circle's circumference, and then we can use algebraic formulas to solve for the center and radius. Let's look at the given problem to find the center and radius of the circle that passes through the points (-1,5), (5,-3), and (6,4).

Center of the circle can be determined using the formula:

(x,y)=(−x1−x2−x3/3,−y1−y2−y3/3)(x,y)=(−x1−x2−x3/3,−y1−y2−y3/3)

Let's plug in the values of the given points and simplify:

(x,y)=(−(−1)−5−6/3,−5+3+4/3)=(2,2/3)

Next, we need to find the radius of the circle. We can use the distance formula to find the distance between any of the three given points and the center of the circle:

Distance between (-1,5) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(2+1)2+(2/3−5)2=√10.111

Distance between (5,-3) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(5−2)2+(−3−2/3)2=√42.222

Distance between (6,4) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(6−2)2+(4−2/3)2=√33.361

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To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

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Answer:

Step-by-step explanation:

The answer is There are 3 gallons

The appropriate decision for the given fill in the blanks question would be to reject H0 the option a.

In a goodness-of-fit test, the null hypothesis H0 is that the observed data follows a specified distribution. The chi-square test statistic measures the difference between the observed and expected frequencies, and a larger value of chi-square indicates a larger difference between the observed and expected frequencies. The critical value is the threshold value beyond which we reject the null hypothesis. In this case, the critical value is 13.388. Since the computed value of chi-square (27.385) is greater than the critical value (13.388), we have sufficient evidence to reject the null hypothesis at the chosen level of significance. Therefore, the appropriate decision would be to reject H0.

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Answer: The total pay, p, for Maddie selling t T-shirts at an event can be represented by the following function:

p(t) = 45 + 0.15(12t)

where the first term, 45, represents the base pay that Maddie receives for each event, and the second term, 0.15(12t), represents the commission that she earns based on the sales revenue from the T-shirts she sells. Since Maddie sells 12 T-shirts at each event, the total sales revenue from the T-shirts she sells is 12t, and the commission she earns is 15% of that revenue, or 0.15(12t).

To find the number of T-shirts Maddie would have to sell at an event to triple her base pay of $45, we need to solve the following equation:

p(t) = 3(45)

Substituting the expression for p(t) into this equation, we get:

45 + 0.15(12t) = 135

Simplifying and solving for t, we get:

1.8t = 90

t = 50

Therefore, Maddie would have to sell 50 T-shirts at an event to triple her base pay of $45.

Step-by-step explanation: