exact value of tanpi/12

Answer:

4

Step-by-step explanation:

Slope = 4

(0,-1) and (1,3)

The probability of getting 14 successes out of 19 trials with a probability of success of 0.8 is approximately 0.0572.

Using the binomial probability formula, we have:

P(X=14) = (n choose x) * pˣ . (1-p)⁽ⁿ⁻ˣ⁾

Plugging in the values, we get:

P(X=14) = (19 choose 14) x 0.8¹⁴ x 0.2⁵

P(X=14) ≈ 0.0572

Therefore, the probability of getting 14 successes out of 19 trials with a probability of success of 0.8 is approximately 0.0572.

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Answer:

Step-by-step explanation:

yan po ang sagot tama po yan

paki brainlest nlng po

Answer:

x=90

Step-by-step explanation:

a triangle that is made inside of a triangle makes a right angle. The angle that is opposite of the hypotenuse is the one that is a right angle

Answer:

The graph of the equation 2x - y = 34 is a line in a two-dimensional coordinate plane

Answer: The description of that transformation is the triangle is rotated 90 degrees clockwise. Then, it's moved to the right TWICE. Finally, you go down 2 times.

Step-by-step explanation:

Hope this helps :)

triangle B is in dofferent orientation from triangle B so we know it was either mirrored or rotated. Triangle B isnt in the exact opposite orientation as A so we know it wasnt mirrored. So we now know that it was rotated and know we have to find the point of rotation. we can tell that the rotation was 270 degrees anti clockwise since it cant be clockwise because no points of rotation match. since we know triangle A was rotated 270 degrees anti clockwise to get triangle B we cant find the point of rotation by seeing which point works and if we test the points we will see that (0;-1) is the point of rotation. So triangle A was rotated 270 degrees anti clockwise on the point (0;-1) to make triangle B

Answer:

I think it's 15, since 645 / 43 = 15

Step-by-step explanation:

your question kind of broke down when you copied and pasted it so i'm not sure if I got the answer right

Answer:

how is the maximum 10 hrs but you need to put in 20hrs

The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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Answer:

where is the whole question

Answer:

The population is decreasing.

Step-by-step explanation:

As x, time, increases, the y, population, decreases. It too has a negative slope.

Answer:

A

Step-by-step explanation:

The approximate diameter of the garden is 12.84 feet.

What is circumference?

The circumference of a circle is the distance around the edge of the circle or It is the perimeter or the length of the boundary of a circle. It is a measure of the total length of the circle, just like the perimeter is the measure of the total length of a polygon. The circumference is also related to the diameter and radius of a circle by the formula:

Circumference = 2πr = πd

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius:

r = C / 2π

In this case, we are given that the circumference is 40.25 feet and π is approximately 3.14. Substituting these values into the formula, we get:

r = 40.25 / (2 x 3.14) ≈ 6.42 feet

The diameter of the circle is twice the radius, so we can find the approximate diameter by multiplying the radius by 2:

d ≈ 2 x 6.42 ≈ 12.84 feet

Rounding to the nearest hundredth, we get a diameter of approximately 12.84 feet.

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The inequality is written as 15x + 70y ≤ 920. Then the region below the line is the solution to inequality.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Serenity is assembling beaded jewelry with no more than 920 beads she presently has in inventory. Bracelets use 15 beads and necklaces use 70 beads.

Let 'x' be the number of bracelets and 'y' be the number of necklaces. Then the inequality is given as,

15x + 70y ≤ 920

The region below the line is the solution to inequality.

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Answer:7

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

From the table :

Slope :

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

m = (100 - 80) / (5 - 4)

m = 20 / 1

m = 20

y = 20x

Hence, when, x = 12

y = 20 * 12

y = 240

From the graph:

Slope :

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

m = (280 - 70) / (8 - 2)

m = 210 / 6

m = 35

y = 35x

When x = 12

Graph :

y = 35 * 12

y = 420

Difference :

420 - 240

= 180

Answer:

Step-by-step explanation:

The solution is attached

The equation to solve:

To solve for e, we have to isolate e on one side and put all the numbers on another side.

Looking at the equation, we can subtract 7 from both the sides. Thus, e is isolated and we have an answer. Shown below:

Thus, the value of e is 8

The classical assumptions would be violated if you decided to add a dummy variable to the equation that was equal to 1 is independence of errors.

In a linear regression equation, the errors are assumed to be independent of each other, meaning that the error for one observation should not be related to the error for any other observation.

However, when you add a dummy variable that indicates whether the day is a weekday or not, you are introducing a systematic pattern into the errors.

Specifically, you are creating a situation where the errors for weekdays will be more similar to each other than to the errors for weekends, because the stock market is closed on weekends.

This violates the assumption of independence of errors, which can lead to biased estimates and unreliable inferences. To address this issue, you could consider including a different dummy variable that indicates whether the day is a weekend or not.

This would help to account for the systematic pattern in the errors and ensure that the classical assumptions are not violated.

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The solution in this case is x = (4 + sqrt(102+4c))/2 - 4√c, which can be expressed in the form of X = a - b√c.

How to solve quadratic equation?

To solve the equation x²+8x-38=0, we can use the quadratic formula:

x = (-b ± sqrt(b²-4ac)) / 2a

Here, a=1, b=8, and c=-38. Substituting these values into the formula gives:

x = (-8 ± sqrt(8²-4(1)(-38))) / 2(1)

x = (-8 ± sqrt(324)) / 2

x = (-8 ± 18) / 2

So x is either -13 or 5.

To find the values of x in the form of X = a + b√c and X = a - b√c, we can use the following steps:

For X=a+b√c:

Let's assume that x = a + b√c, where a, b, and c are constants to be determined.

Substituting this into the original equation x²+8x-38=0, we get:

(a + b√c)² + 8(a + b√c) - 38 = 0

Expanding the square and simplifying, we get:

(a² + 2ab√c + b²c) + 8a + 8b√c - 38 = 0

Separating the real and imaginary parts, we get:

(a² + b²c + 8a - 38) + (2ab√c + 8b)√c = 0

Since the real and imaginary parts of the equation must both be zero, we can set them each equal to zero and solve for a, b, and c.

First, setting the real part equal to zero gives:

a² + b²c + 8a - 38 = 0

This is a quadratic equation in a, so we can use the quadratic formula:

a = (-8 ± sqrt(8²-4(bc-38))) / 2

Simplifying this gives:

a = -4 ± sqrt(4+b(b-10))

Now, setting the imaginary part equal to zero gives:

2ab + 8b = 0

Solving for b, we get:

b = 0 or b = -4

If b = 0, then a² + b²c + 8a - 38 = a² + 8a - 38 = 0, which has roots a = -5 and a = 3. Therefore, the solution in this case is x = -5 or x = 3, which cannot be expressed in the form of X = a + b√c.

If b = -4, then a² + b²c + 8a - 38 = a² + 16c + 8a - 38 = 0. Plugging this into the quadratic formula for a, we get:

a = -4 ± sqrt(102-4c)/2

Therefore, the solution in this case is x = (-4 + sqrt(102-4c))/2 - 4√c, which can be expressed in the form of X = a + b√c.

For X=a-b√c:

Using the same logic, we can assume that x = a - b√c, where a, b, and c are constants to be determined.

Substituting this into the original equation x²+8x-38=0, we get:

(a - b√c)² + 8(a - b√c) - 38 = 0

Expanding the square and simplifying, we get:

(a² + b²c - 8a - 38) + (-2ab√c - 8b)√c = 0

Since the real and imaginary parts of the equation must both be zero, we can set them each equal to zero and solve for a, b, and c.

Setting the real part equal to zero gives:

a² + b²c - 8a - 38 = 0

This is a quadratic equation in a, so we can use the quadratic formula:

a = (8 ± sqrt(8²+4(bc+38))) / 2

Simplifying this gives:

a = 4 ± sqrt(4+b(b+10))

Setting the imaginary part equal to zero gives:

-2ab - 8b = 0

Solving for b, we get:

b = 0 or b = -4

If b = 0, then a² + b²c - 8a - 38 = a² - 8a - 38 = 0, which has roots a = -3 and a = 11. Therefore, the solution in this case is x = -3 or x = 11, which cannot be expressed in the form of X = a - b√c.

If b = -4, then a² + b²c - 8a - 38 = a² + 16c - 8a - 38 = 0. Plugging this into the quadratic formula for a, we get:

a = 4 ± sqrt(102+4c)/2

Therefore, the solution in this case is x = (4 + sqrt(102+4c))/2 - 4√c, which can be expressed in the form of X = a - b√c.

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Answer:

The answer is -13x+4

82+71=153

180-153=27=x

27=x

z=27

124+27=151

180-151=29

y=29

The sector areas of the grey and white areas are 159.09 in² and 41.87 in²

From the question, we have the following parameters that can be used in our computation:

The area of shaded sector is calculated as

Area = Central angle/360 * π * Radius^2

Substitute the known values in the above equation, so, we have the following representation

Hence, the area is 159.09

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The length of z would be '8.89 cm'.

What is sine rule in triangle?

According to the law of sine, or sine law, the ratio of a triangle's side length to the sine of the opposing angle remains constant for all three sides.

Given that in ΔXYZ, x = 3.9 cm, ∠Y=68° and ∠Z=86°.

As we know sum of all angles of a triangle is 180.

      ∠X + ∠Y + ∠Z = 180°

       ∠X + 68° + 86° = 180°

       ∠X = 26°

Now by using sine law, we get

       \(\frac{x}{sinX} = \frac{y}{sinY} = \frac{z}{sinZ}\)

         \(\frac{x}{sinX} = \frac{z}{sinZ}\)

        \(\frac{3.9}{sin26} = \frac{z}{sin86}\)

Simplifying this, we get

       z = 3.9*0.99/0.438
       z = 8.89

Hence, the length of z would be '8.89 cm'.

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Answer:

10 to the third power is 10x10x10 which is 1000. So you do 0.15 x 1000 which equals 150. So the answer is 150

Step-by-step explanation:

Given the line

The line is expressed in slope-intercept form:

Where

m is the slope

b is the y-intercept

1) Any line that has the same slope as this line will be parallel to it.

The slope of the line is m=2

From the given options, the only one that has the same slope as the given line is the first one

2) For perpendicular lines, the slope of a line perpendicular to another is the inverse negative of the slope of the line.

So let

Represent the equation of the line perpendicular to the given one. The relationship between their slopes can be expressed as:

The slope of the line is m=2 so the slope of the perpendicular line is

A line with slope -1/2 will be perpedicular to the given one. Looking at the options, the line that can be perpendicular to this one is

The correct option is the third one.

Answer:



Step-by-step explanation:

8:11

Answer:

v1 t = distance Bob travels  

v2 t + 20 = distance opponent travels

v1 t  = v2 t + 20

t = 20 / (v1 - v2) = 20 / (8 - 6) = 10 sec

In 10 sec Bob runs 80 m

In 10 sec opponent runs 20 + 60 m = 80 m

Answer: pi/3

Step-by-step explanation:

correct on edge 2020

The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

sin⁻¹ ( √3/2 ) = θ

Now , the value of θ is calculated by

In a triangle , sin θ = opposite / hypotenuse

So , sin θ = √3/2

The value of θ = 60°

So , the measure of 60° in radians is θ = π/3

Hence , the value of θ from the trigonometric relation is π/3

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Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.

The correct answer should be -20, not 34.

Huda's error was that she evaluated (3) squared incorrectly.

Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.

To evaluate the expression correctly, let's go through the steps:

Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)

First, we simplify the expression within the parentheses:

\(-3(3)^2 - (-7) = -3(9) - (-7)\)

Next, we evaluate the exponent:

-3(9) - (-7) = -3(9) + 7

Now, we perform the multiplication and addition/subtraction:

-3(9) + 7 = -27 + 7 = -20

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Answer:

6 liters

Step-by-step explanation:

Given:

The 9 litre of 50% acidic liquid.

Required:

What quantity of water should be added to reduce 9 liters of 50% acidic liquid to 30% acidic liquid ?

Explanation:

The solution steps are:

Acidic liquid in 9 liters lotion = (50/100) * 9 = 4.5 liters

Then water = 9 - 4.5 = 4.5 liters

Let 'x' liters be the required quantity of water.

Then :-

\(\frac{4.5}{9+x} = \frac{30}{100} = \frac{3}{10}\)

That leads to :-

\(3(9+x) = 45 == > 3x = 18\)

Which gives us :-

\(x=6\)

Thus required quantity of water = 6 liters

Final answer:

6 liters

(Hi fyi this answer took a lot of time & effort to make sure it was accurate, precise and to the point to be produced, so if you could opt this answer as the brainliest it would mean the world to me,)

Stay positive and Take care,

A fellow mate,

Cheers !