let the direction of a vector be the angle that the vector makes with the x -axis, measured counterclockwise from that axis. find the direction of the vector a1

Answer:

1/64

Step-by-step explanation:

There is a 1/2 chance of getting heads each time, so you multiply 1/2 by itself 6 times

1/2*1/2*1/2*1/2*1/2*1/2 =

5.8 is the median of  6 feet, 5.8 feet, 5.5 feet, 6 feet, and 5.7 feet heights

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The median of a set of numbers is the middle value when the values are arranged in order from smallest to largest.

The heights of Ross, Matt, Martin, Jonah, and Jared are:

5.5, 5.7, 5.8, 6, 6

Arranged in order from smallest to largest, the middle value is 5.8 feet, so the median height of the five individuals is 5.8 feet.

Hence, 5.8 is the median of  6 feet, 5.8 feet, 5.5 feet, 6 feet, and 5.7 feet heights

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ1

Answer: 22 divided by 40 would equal 0.55.

K * K > N, because if the square of K is greater than N, it is not possible to add K distinct odd integers to get N.

If you square an integer (multiply it by itself), the result will always be an even number. If K is an odd number, then K * K will be an odd number plus one, which makes it even.

For example, if K = 3, then K * K = 9, which is an even number. If we take the square root of 9, we get 3, which is K. This means that the square of K will always be greater than K itself.

Now, if we want to add K distinct odd integers to get N, then N must be greater than K * K. This is because the sum of K odd numbers will always be less than K * K, and we need N to be greater than this sum.

Therefore, if K * K > N, it means that it is not possible to add K distinct odd integers to get N, because N is smaller than K * K, and the sum of K odd numbers will be smaller than N.

You can learn more about odd integers at

https://brainly.com/question/26704741

#SPJ4

The puzzle method takes in an int x and returns an int based on its parameter x. If x is greater than 20, then the method will return x - 10.

The puzzle method takes in an int x and returns an int based on its parameter x. The formula for this method is as follows:

If x > 20, then the method will return x - 10.

For example, if x is 30, then the method will return 30 - 10 = 20.

The calculation for this method can be seen in the following example.

If x is 30, the calculation would be as follows:

30 > 20

30 - 10 = 20

Therefore, the method will return 20.

In conclusion, the puzzle method takes in an int x and returns

an int based on its parameter x. If x is greater than 20, then the method will return x - 10. The formula and calculation for this method can be seen in the example provided.

Learn more about parameter here:

https://brainly.com/question/14893265

#SPJ4

Complete question:

What is the formula and calculation for the puzzle method that returns an int based on its parameter x?

The sequence as shown is a geometric sequence.

We know that the geometric sequence is the kind of sequence in which there is the common ratio. We can tell that for the geometric sequence we have;

U(n) = Tr^n-1

Where T is the first term and then r is the common ration while n is the number of terms.

Given the fact that we have the terms in the sequence as 81, 27, 9, 3, 1. We can see that the common ratio of the sequence is given as;

r =  T2/T1 = 27/81

1/3

Learn more about sequence:https://brainly.com/question/13008517

#SPJ1

Answer:

Step-by-step explanation:

The expression √3 × √5 × √6​ is equivalent to the expression 3 × √10. Then the correct option is B.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ √3 × √5 × √6​

Simplify the expression, then the value of the expression will be given as,

⇒ √3 × √5 × √(3 ×2)

⇒ √3 × √5 × √3 × √2

⇒ 3 × √(5 × 2)

⇒ 3 × √10

The articulation √3 × √5 × √6 is comparable to the articulation 3 × √10. Then, at that point, the right choice is B.

More about the equivalent link is given below.

×==3

brainly.com/question/889935

#SPJ5

Answer: 3√2

Step-by-step explanation: I just took the test

A total of 0.7142 gallons of paint is needed to cover 250.0 square feet of walls.

The formula to calculate the number of gallons of paint required to cover a certain area is by dividing the area in square feet by the coverage of one gallon of paint, which in this case is 350 square feet. Hence, the formula becomes:

Using the input value of 250.0 square feet, we can apply this formula to calculate the number of gallons needed.

This means that to cover 250 square feet of wall, 0.714285714286 gallons of paint are required. The result is expressed as a decimal value as the area is not necessarily a multiple of the coverage of one gallon of paint.

Learn more about the area:

https://brainly.com/question/22972014

#SPJ4

Complete Question:

Finish the program to compute how many gallons of paint are needed to cover the given square feet of walls. Assume 1 gallon can cover 350.0 square feet. So gallons = the square feet divided by 350.0. If the input is 250.0, the output should be:

The height of the cylinder with radius of 7 yards and given volume of 2,923.34 cubic yards is calculated as; h = 19 yards

A cylinder is defined as a 3D solid shape that consists of two identical and parallel bases linked by a curved surface.

Now, the formula to find the volume of a cylinder is;

V = πr²h

where;

r is radius

h is height

V is volume

The parameters are;

Radius; r = 7 yards

Volume; V = 2923.34 cubic yards

Thus;

2923.34 = π * 7² * h

h = 2923.34/(49π)

h = 19 yards

Read more about Volume of Cylinder at; https://brainly.com/question/9554871

#SPJ1

Answer:

if f and g are functions such that f+g is continuous, at least one of f or g must be continuous.

Step-by-step explanation:

The composite function value is 2t - t^2

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

f(x) = x^2 - 2x - 6

A composite function involves combining multiple functions to a single function

When the function f(2) is calculated, we have

f(x) = 2^2 - 2(2) - 6

Evaluate

f(2) = -6

When the function f(t) is calculated, we have

f(t) = t^2 - 2t - 6

So, we have

f(2) - f(t) = 2t - t^2

Read more about composite function at

https://brainly.com/question/10687170

#SPJ1

The point at which the beam must be supported so that it may rest horizontally is; 9 meters from the left side

The parameters are;

Mass of beam = 50 kg

Length of beam = 12 m

Mass suspended at left end = 30kg

Mass suspended at right end = 40 kg

Let the support that will make the beam rest horizontally be x from the left side.

Thus, taking moment about the point x from the left side is;

30x + 50(6 - x) = 40(12 - x)

30x + 300 - 50x = 480 - 40x

20x = 180

x = 180/20

x = 9 m

Read more about Uniform Beams at; https://brainly.com/question/15860569

#SPJ1

The degree of the polynomial that best describes the data is (c) cubic

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

See attachment

Find the first dfference D1 between the consecutive y-values

D1:   10     28.4     56.4    94

Calculate the second difference

D1:   18.4     28     37.6

Calculate the third difference

D3:   9.6     9.6

The third difference are equal

Hence, the degree is (c) cubic

Read more about polynomial at

https://brainly.com/question/7693326

#SPJ1

There does not exists a rational number t such that  [tex]t^2 = 2[/tex].

Suppose the contrary, that there exists a rational number t such that[tex]t^2 = 2[/tex]. Then t can be written in its lowest terms as t = p/q, where p and q are integers, with q≠ 0. Then squaring both sides gives[tex](p/q)^2 = 2[/tex], so [tex]p^2 = 2q^2[/tex]. Since both [tex]p^2[/tex] and [tex]q^2[/tex] are integers, this implies that 2 is a perfect square, which it is not. Thus, there does not exist a rational number t such that[tex]t^2 = 2.[/tex]

In detail, assume t = p/q where p and q are integers and q ≠ 0. Then [tex]t^2 = 2[/tex] can be written as [tex]t^2 = 2[/tex].. This implies [tex]p^2 = 2q^2[/tex]. Since both [tex]p^2[/tex] and [tex]q^2[/tex] are integers, it implies 2 is a perfect square, which it is not. Therefore, there does not exist a rational number t such that   [tex]t^2 = 2[/tex].

Learn more about integers here:

https://brainly.com/question/1768254

#SPJ4

Complete question

Does there exist a rational number t such that [tex]t^2 = 2[/tex].?

When collect data, we can compare and contrast results. based on the results, Ammonia has the strongest base.

The following are some of the characteristics of ammonia:

Learn more about ammonia at https://brainly.com/question/15409518.

#SPJ4

The length RS is equal to the length PQ and the length QR is congruent to SP.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The lines RS║PQ and QR║SP.

In triangles ΔSPQ and ΔQRS, then we have

∠SPQ = ∠QRS     (Alternate angles)

∠PQS = ∠RSQ     (Alternate angles)

SQ = SQ               (Common side)

ΔSPQ ≅ ΔQRS    (Congruent triangles)

RS = PQ and QR = SP

The length RS is equal to the length PQ and the length QR is congruent to SP.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

The statement "H'(7.5) = 15.708" means that the rate of change of the height of the passenger on the Ferris wheel at 7.5 minutes after the ride begins is 15.708 meters per minute.

The statement H'(7.5) = 15.708 is an interpretation of the derivative of the function H at time 7.5 minutes. The derivative of a function represents the rate of change of the function, and it is calculated by taking the limit of the ratio of the change in the function to the change in its independent variable (in this case, time). H'(7.5) represents the rate of change of the height of the passenger at 7.5 minutes into the ride. The value of 15.708 means that the height of the passenger is increasing by 15.708 meters per minute at 7.5 minutes into the ride.

At 7.5 minutes into the ride, the passenger's height is changing at a rate of 15.708 meters per minute. This means that the passenger is moving upward at a speed of 15.708 meters per minute at this particular time. The derivative of a function at a specific point gives us the rate of change of the function at that point, and in this case, it gives us the speed at which the passenger's height is changing at 7.5 minutes into the ride.

Learn more about derivative of a function here:

https://brainly.com/question/28210524

#SPJ4

All the statements apply on parent function are,

⇒ Reflect the graph over the x-axis

⇒ Translate the graph to the left

Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.

We have to given that;

The function is,

⇒ g (x) = √ - 2x + 4

And, The parent function is,

⇒ f (x) = √x

Now, The parent function is,

⇒ f (x) = √x

After reflect the graph over the x-axis,

⇒ g (x) = √ - 2x

And, After translate the graph to the left,

⇒ g (x) = √ - 2x + 4

Thus, All the statements apply on parent function are,

⇒ Reflect the graph over the x-axis

⇒ Translate the graph to the left

Learn more about the reflection visit:

brainly.com/question/26494295

#SPJ1

The entropy of X (number of defective chips) in bits is a measure of uncertainty about the value of X.

The entropy of a random variable represents the amount of uncertainty or randomness associated with the outcome of the variable. To calculate the entropy of a discrete random variable, we need to determine the probability distribution function and use the formula:

H(X) = -Σ P(X=x) log2(P(X=x))

In this case, the random variable X represents the number of defective chips in 5 randomly chosen chips from a box of 50, with 3 defective chips. The possible outcomes are 0, 1, 2, 3, and 4, with probabilities:

P(X=0) = (47/50)^5

P(X=1) = (5 * (3/50) * (47/50)^4)

P(X=2) = (10 * (3/50)^2 * (47/50)^3) / 2!

P(X=3) = (5 * (3/50)^3 * (47/50)^2) / 3!

P(X=4) = (3/50)^4 / 4!

By plugging in the probabilities into the entropy formula, we can find the entropy in bits.

Learn more about probability :

https://brainly.com/question/30034780

#SPJ4

Answer: Noted

Step-by-step explanation: do not p$ss off boss

The area of the walkway around the garden as the sum of two terms is,  2(w + l) = 2(8x + 21).

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Let's call the width of the garden w and the length of the garden l.

Then, the area of the garden is,

wl = 6(2.5x + 1.5).

The combined area of the garden and the walkway is 7.5(4x + 5).

We can write this as wl + 2(w + l), since the walkway goes around the perimeter of the garden.

Equating the two expressions for the combined area, we have:

wl + 2(w + l) = 7.5(4x + 5)

Substituting wl = 6(2.5x + 1.5), we get:

6(2.5x + 1.5) + 2(w + l) = 7.5(4x + 5)

Expanding both sides, we get:

15x + 9 + 2w + 2l = 30x + 37.5

Solving for w + l, we get:

w + l = 15x + 28.5 - 7.5 = 8x + 21

So the area of the walkway around the garden can be expressed as 2(w + l) = 2(8x + 21).

To learn more about Area check:

https://brainly.com/question/16151549

#SPJ1

Answer:

Here's the graph. If you want just go onto desmos and write y=-x-2 and it'll be there as well.

Step-by-step explanation:

Answer:

Student Ethan chose three lengths that could form a triangle.

Step-by-step explanation:

In order for three lengths to form a triangle, the sum of the lengths of the two shortest sides must be greater than the length of the longest side. In this case, 10 cm + 16 cm > 24 cm, and so the three lengths chosen by Ethan can form a triangle.

Answer: Ethan would be it

Step-by-step explanation: I took the k12 TFAR.

Congruent figures are figures that are exactly the same size and shape, option A.

A figure is considered congruent when it is exactly the same size and shape as another figure. In other words, two figures are congruent if they can be superimposed on each other perfectly, without any stretching or distortion.

Congruence can also be defined as: if one of the figures can be obtained after a series of rigid motions of the other, the figures are said to be congruent. They both have congruent sides and angles.

Find out more on Congruent figures here: https://brainly.com/question/1675117

#SPJ1

The candidate is an example of a nominal variable. Since candidates are identified through their names, the variable is qualitative in nature. Moreover, since names are all the voters have to go by, there is thus no inherent ordering in the candidates.

Nominal variable is a variable with the lowest level of measurement scale and can only be used for qualitative classification or categorization. That is, these variables can only be measured in terms of whether the characteristics of an object can be distinguished from other characteristics, but we cannot measure or even rank these categories.

For example, we can say that the genders of the 2 people are different, one is female and the other is male. Here we can distinguish the characteristics of the two, but we cannot measure and say which is "more" or which is "less" from the quality represented by the variable.

We can only assign codes/labels to these two characteristics, for example the number 0 for women and the number 1 for men. The code/number label can be exchanged. The code there only serves as a differentiator between the two objects and does not indicate order or continuity. The number 1 does not indicate higher or better than 0.

Learn more about nominal variable at https://brainly.com/question/17276179.

#SPJ4

The area of the triangle is approximately 33.8 square units.

Heron's formula is applicable to all types of triangles. Heron's formula is used to compute the area of a triangle, and every sort of triangle in the world has an area.

So, if the three sides of a triangle are known, Heron's formula may be used to directly determine the area.

We can use the Law of Cosines to find the third side of the triangle, then use Heron's formula to find the area.

First, we find the third side, c:

c^2 = a^2 + b^2 - 2ab * cos(C)

c^2 = 2^2 + 6^2 - 2 * 2 * 6 * cos(127)

c = sqrt(40 - 24 * cos(127))

Next, we use Heron's formula to find the area of the triangle:

s = (a + b + c) / 2

area = sqrt(s * (s-a) * (s-b) * (s-c))

area = sqrt((7.82 + 3) * (7.82 - 2) * (7.82 - 6) * (3))

area = sqrt(45.82 * 5.82 * 1.82 * 3)

area = sqrt(1138.3916)

area = 33.75

For more questions on Area of triangle using Heron's formula

https://brainly.com/question/10713495

#SPJ4

The measures of side lengths of triangle are 10 feet, 15 feet and 20 feet.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that perimeter of a triangle is 45 feet.

ratio of the lengths of the three sides is 2:3:4

We have to find the measure of each side.

Let us consider the side lengths are 2x, 3x, and 4x.

2x+3x+4x=45

Add the like terms

9x=45

Divide both sides by 9

x=5

Side lengths are 2x = 2×5 = 10 feet,

3x = 3× 5 = 15 feet, and 4x = 4 ×5 = 20 feet.

Hence, the measures of side lengths of triangle are 10 feet, 15 feet and 20 feet.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

To determine the probability of a student working 19 hours or less, we need to find the cumulative frequency of students working 19 hours or less.

From the data, the cumulative frequency of students working 19 hours or less is 40 + 50 = 90. The total number of students is 200. Therefore, the probability of a student working 19 hours or less can be calculated as:

P(working 19 hours or less) = cumulative frequency of students working 19 hours or less / total number of students

P(working 19 hours or less) = 90 / 200

P(working 19 hours or less) = 0.45

So, the probability of a student working 19 hours or less is 0.45 or 45%.

To know more about Probability

https://brainly.com/question/13604758

#SPJ4

Two negative angles in radians are -π/2 and -π.

To find the points that correspond to these angles, we can use the formula: (cos θ,sin θ). For -π/2, this yields (0, -1) and for -π, this yields (-1, 0).Two negative angles in radians are -π/2 and -π.

Three positive angles in radians are 0, π/4 and π/2. For 0, the point is (1, 0); for π/4, the point is (0.707, 0.707); and for π/2, the point is (0, 1). To calculate these points, we can use the same formula, (cos θ,sin θ). For 0, this yields (1, 0); for π/4, this yields (cos π/4, sin π/4) = (0.707, 0.707); and for π/2, this yields (0, 1).

Learn more about negative angles here:

https://brainly.com/question/18453493

#SPJ4

x is not an integer, and is instead an irrational number that lies between -1/6 and 1/9.

We can solve this problem using the law of sines. The law of sines states that for a triangle, the ratio of the side opposite an angle to the sine of that angle is equal for all three angles. Therefore, we can solve for x by setting up two equations, one for angle W and one for angle X.

For angle W, the equation is:

18x - 2 = sin-1(VX/WY)

For angle X, the equation is:

12x + 2 = sin-1(VW/YX)

Since we know the ratio of the sides of the triangle, we can solve for x by substituting these values into the equations.

For angle W, we get:

18x - 2 = sin-1(VX/WY)

18x - 2 = sin-1(2/2)

18x - 2 = 0

18x = 2

x = 1/9

For angle X, we get:

12x + 2 = sin-1(VW/YX)

12x + 2 = sin-1(2/2)

12x + 2 = 0

12x = -2

x = -1/6

Since these two answers do not match, we can conclude that x is not an integer, and is instead an irrational number that lies between -1/6 and 1/9.

Learn more about irrational number here:

https://brainly.com/question/4031928

#SPJ4