Examine the following diagram: 4 lines intersect to form 14 angles. Angles 14 and 12, 11 and 13, 10 and 8, and 7 and 9 are vertical angles. In the diagram, how many pairs of vertical angles are shown?

Answer:

1 7/12

Step-by-step explanation:

Just subtract the fractions if you cant do it by head or paper use a calc so 5 3/4 - 4 1/6= 1 7/12 samuels dad is 1 7/12 taller than samuel.

Answer:

Step-by-step explanation:

idj

The given statement: "Failure is explicitly defined to be the instant the part reaches the yield point" is false.

What is Yield Point?

The yield point is a certain level of stress or tension where a material begins to deform plastically. Beyond this point, if the material is loaded with additional force, it will experience plastic deformation. The material will deform elastically before the yield point if the load is less than the yield point. At the elastic limit, the material will return to its original shape upon removal of the load.

What is failure?

Failure is a mechanical concept that refers to a material's inability to support a load. Failure is when the applied load exceeds the material's strength. Failure is referred to as the point at which a component or system can no longer perform its intended function safely. It's important to note that the yield point and the point of failure are not the same thing.  Hence, the given statement "Failure is explicitly defined to be the instant the part reaches the yield point" is false.

To know more about yield point visit:

https://brainly.com/question/30904383

#SPJ11

The volume of a cut cone is equal to the sum of the volumes of the two smaller cones that are created when the cone is cut. The volume of a cone is (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

When a cone is cut horizontally across the middle, the two smaller cones that are created have the same height as the original cone, but the bottom radius of the top cone is half the radius of the bottom cone of the original cone.

The volume of the cut cone is equal to the sum of the volumes of the two smaller cones:

Volume of cut cone = Volume of top cone + Volume of bottom cone

= (1/3)π(r/2)²h + (1/3)πr²h

= (1/3)πrh/4 + (1/3)πrh

= (5/12)πrh

Therefore, the volume of a cut cone is equal to (5/12)πrh, where r is the radius of the base of the original cone and h is the height of the original cone.

In your problem, the radius of the base of the original cone is 4 and the height of the original cone is 12. Therefore, the volume of the cut cone is equal to: (5/12)π(4)²(12) = 201.06192982974676

To know more about radius click here

brainly.com/question/29082108

#SPJ11

Answer:

24:42 or 4:7

Step-by-step explanation:

Silverfish : Total fish

24 : 24 + 18

24 : 42

Simplify:

24:42 = 4:7

The measures of angle ABC and DBC are 41 degrees and 43 degrees

The angles are given as

Angle ABC = (5x + 1) degrees

Angle DBC = (6x - 5) degrees

Angle ABD = 84 degrees

The angles add up to 84 degrees

So, we have:

ABC + DBC = 84

This gives

5x + 1 + 6x - 5 = 84

Evaluate the like terms

11x = 88

Divide both sides by 11

x = 8

Substitute x = 8 in Angle ABC = (5x + 1) degrees and Angle DBC = (6x - 5) degrees

Angle ABC = (5 x 8 + 1) degrees

Angle DBC = (6 x 8 - 5) degrees

Evaluate

Angle ABC = 41 degrees

Angle DBC = 43 degrees

Hence, the measures of angle ABC and DBC are 41 degrees and 43 degrees

Read more about angles at

https://brainly.com/question/7620723

#SPJ1

Answer:

16.7 percent decrease.

Step-by-step explanation:

Difference in value = 150,000 - 180,000

= -30,000

As a percent this  =  (-30,000 /  180,000)   * 100

= -0.1667 * 100

= -16.67

Answer:

15.5 repating or 18.4%

Step-by-step explanation:

SORRY

Ozone can be both harmful and beneficial to health, depending on its location in the atmosphere and the levels at which it is present.

In the stratosphere (the layer of the atmosphere that is located about 10-50 kilometers above the Earth's surface), ozone is a beneficial gas that protects life on Earth by absorbing harmful ultraviolet (UV) radiation from the sun. However, at ground level, ozone can be harmful to health, particularly for people with respiratory problems such as asthma.

Exposure to high levels of ozone can irritate the respiratory system and cause coughing, throat irritation, and chest pain. It can also worsen bronchitis, emphysema, and other lung diseases. Ozone can also reduce lung function and inflame the linings of the lungs, leading to more serious health problems.

It is important to note that ground-level ozone is not emitted directly into the air, but is formed when pollutants from sources such as vehicle exhaust, power plants, and industrial facilities react with sunlight and heat.

Therefore, Ozone can be both harmful and beneficial to health.

To learn more about Ozone,

visit; brainly.com/question/14330630

#SPJ4

The expression (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) simplies to -5.55 × 10⁻⁸. Option A. is the answer

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form

Given: (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸)

In order to simplify (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) rewrite one of the expressions so that the expressions will have the same power. Then, subtract. That is:

(2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) = (0.25 x 10⁻⁸) − (5.8 x 10⁻⁸)

                                      =  (0.25 − 5.8) × 10⁻⁸

                                      =  -5.55 × 10⁻⁸

Learn more about Scientific notation on:

brainly.com/question/27862246

#SPJ1

Answer:

=-4

Step-by-step explanation:

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

To learn more about Probability visit :

brainly.com/question/13490624

#SPJ4

The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

To learn more about Central limit theorem visit: brainly.com/question/4086221

#SPJ4

Which of the following is an accurate definition for the power of a statistical test is C. The power of a statistical test refers to the probability of rejecting a false null hypothesis. This means that the test is able to correctly identify when there is a significant difference between two groups or conditions.

statistical tests are used to determine whether the results of an experiment are likely due to chance or whether there is a real effect. The null hypothesis states that there is no significant difference, while the alternative hypothesis states that there is. The power of a statistical test refers to the ability of the test to correctly reject the null hypothesis when it is false, and thus support the alternative hypothesis.

, the power of a statistical test is the probability of correctly rejecting a false null hypothesis, which indicates that there is a significant difference between two groups or conditions.

To know more about probability visit:

https://brainly.com/question/32004014

#SPJ11

The slope of the line is given by the equation slope m = 3/2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , let the first point be P = P ( 0 , 1 )

Let the second point be Q = Q ( 2 , 4 )

Now , the slope of the line between the two points is

Slope m =  ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

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

On simplifying the equation , we get

Slope m = ( 3 / 2 )

Therefore , the value of m is 3/2

Hence , the slope of the line is 3/2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

Answer:

$1.10

explanation:

Answer:

In total that is $1.10

Step-by-step explanation:

The value of c in the equation, 1/5c = 2 1/2 when divided is 12 1/2.

Fractions are numbers that are non integers. They are ususally made up of numerators and denominators. The numerator is the number above and the denominator is the number below.

In order to determine the value of c, divide 2 1/2 by 1/5

2 1/2 ÷ 1/5

Convert the mixed fraction to an improper fraction

5/2 x 5 = 25/2 = 12 1/2

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

Read more about numbers here:https://brainly.com/question/1094377

#SPJ1

Answer:

Step-by-step explanation:

This equation is y=4-(x+1)^2, there is no restriction upon x and y has a max value of four and approaches negative infinity as x moves away from -1 in either direction. So the domain is all real numbers and the range is all real numbers less than or equal to four.

The domain and range of the quadratic function are:

For a function y = f(x), we define the domain as the set of the possible inputs x, and the range is the set of the possible values y.

On the graph, we can see a quadratic function.

For the domain, we usually start assuming that the domain is the set of all real numbers, and then we remove problematic points. Where a problematic point can be a zero on a denominator or something like that.

In the case of a quadratic, there are no problematic points, then the domain is the set of all real numbers.

For the range, we can see that the function has a maximum at y = 4, and then it goes down, so the range is just:

R: y ≤ 4.

If you want to learn more about quadratic functions, you can read:

https://brainly.com/question/1214333

43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

#SPJ11

learn more about "percentages"https://brainly.com/question/24877689

Answer:

UMMM UMMM UMMM

Step-by-step explanation:

THE ANSWER IS...................THE ANSWER THE NEXT PERSON SAY

12. MATLAB code: `f = (-3*t.^2 + 5*t + 20).*(t < 0) + (3*t.^2 + 5*t).*(t >= 0)`

13. MATLAB function: `function random_values = UniGen(n, a, b); random_values = (b - a) * rand(n, 1) + a; end`

MATLAB code to calculate f(t) using the given equation:

t = -9:0.5:9; % Generate values of t from -9 to 9 in steps of 0.5

f = zeros(size(t)); % Initialize f(t) vector

for i = 1:numel(t)

   if t(i) < 0

       f(i) = -3*t(i)^2 + 5*t(i) + 20;

   else

       f(i) = 3*t(i)^2 + 5*t(i);

   end

end

% Display the results

disp('t    f(t)');

disp('--------');

disp([t' f']);

```

This code generates values of `t` from -9 to 9 in steps of 0.5 and calculates `f(t)` based on the given equation. The results are displayed in a tabular format showing the corresponding values of `t` and `f(t)`.

13. MATLAB function UniGen to generate uniformly distributed random values:

function random_values = UniGen(n, a, b)

   % n: Number of random values to generate

   % a: Start of the interval

   % b: End of the interval

   random_values = (b - a) * rand(n, 1) + a;

end

This MATLAB function named `UniGen` generates `n` random values that are uniformly distributed on the interval `[a, b]`. It utilizes the `rand` function to generate random values between 0 and 1, which are then scaled and shifted to fit within the specified interval `[a, b]`. The generated random values are returned as a column vector.

Learn more about MATLAB code

brainly.com/question/12950689

#SPJ11

At most, they can wash 96 cars and mow 96 lawns.

To determine the maximum number of cars they can wash and lawns they can mow, we need to consider the work rates of each person and the total number of hours they work.

Huey can wash 6 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 6 \(\times\) 8 = 48 cars or mow 3 \(\times\) 8 = 24 lawns.

Dewey can wash 3 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 3 \(\times\) 8 = 24 lawns.

Louie can wash 3 cars or mow 6 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 6 \(\times\) 8 = 48 lawns.

Since two of them wash cars and one mows lawns, the maximum number of cars they can wash is the sum of the maximum cars each person can wash, which is 48 + 24 + 24 = 96 cars.

The maximum number of lawns they can mow is the sum of the maximum lawns each person can mow, which is 24 + 24 + 48 = 96 lawns.

For similar question on maximum number.

https://brainly.com/question/28066919  

#SPJ8

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

To know more about  Spherical harmonics visit

https://brainly.com/question/23067012

#SPJ11

Step-by-step explanation:

I think its b.30 but I'm not sure

After the last cutting, you will have 1,024 pieces of paper.

After cutting the sheet of paper into 4 pieces, each subsequent cut into 4 pieces will multiply the number of pieces by 4. Therefore, after the first cut, you will have 4 pieces.

After the second cut, you will have 4 * 4 = 16 pieces. After the third cut, you will have 16 * 4 = 64 pieces. Continuing this pattern, after the fourth cut, you will have 64 * 4 = 256 pieces.

After the fifth and final cut, you will have 256 * 4 = 1,024 pieces.

Therefore, after the last cutting, you will have 1,024 pieces of paper.

Know more about  subsequent cut here,

https://brainly.com/question/33497211

#SPJ11

The ordered pairs that are on the graph of the equation 4y - 6x = 12 include the following:

A. (-4, −3)

C. (0, -2)

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane of a graph.

Next, we would test the ordered pairs to determine which are on the graph of the given equation as follows;

For ordered pair (-4, −3), we have:

4y - 6x = 12

4(-3) - 6(-4) = 12

-12 + 24 = 12

12 = 12 (True).

For ordered pair (-1, 1.5), we have:

4y - 6x = 12

4(-1) - 6(1.5) = 12

-4 - 9 = 12

-13 = 12 (False).

For ordered pair (0, -2), we have:

4y - 6x = 12

4(0) - 6(-2) = 12

0 + 12 = 12

12 = 12 (True).

For ordered pair (3, -4), we have:

4y - 6x = 12

4(3) - 6(-4) = 12

12 + 24 = 12

36 = 12 (False).

For ordered pair (0, 3), we have:

4y - 6x = 12

4(0) - 6(3) = 12

0 + 18 = 12

18 = 12 (False).

For ordered pair (6, 4), we have:

4y - 6x = 12

4(6) - 6(4) = 12

24 - 24 = 12

0 = 12 (False).

Read more on ordered pairs here: https://brainly.com/question/12179097

#SPJ1

Complete Question:

Select all the points that are on the graph of the equation 4y - 6x = 12. Show your work.

A. (-4, −3)

B. (-1, 1.5)

C. (0, -2)

D. (3, -4)

E. (0, 3)

F. (6, 4)

Answer:

A=25m

Step-by-step explanation:

Step-by-step explanation:

Hey there!

1.)

Looking in figure;

5x = 100° {vertically opposite angle}

x = 100°/5

Therefore, X = 20°.

2.)

Looking through figure;

3x + 39° = 90°{The symbol in figure is 90°}

3x = 90°-39°

3x = 51°

x = 51°/3

x = 17°.

Therefore, X = 17°.

Hope it helps...

9514 1404 393

Answer:

Step-by-step explanation:

1. The equation should be 5x = 100, because the marked angles are congruent.

Then, dividing by 5 gives ...

  x = 100/5

  x = 20

__

2. The angles have a sum of 90°, not 180°. The correct equation is ...

  3x +39 = 90

  x + 13 = 30 . . . . divide by 3*

  x = 17 . . . . . . . . subtract 13

_____

* Sometimes when the terms of the equation have the coefficient of x as a common factor, I like to divide by that first. It makes all of the numbers smaller, so more comfortable for me to deal with. The usual method would be to subtract 39 before doing the division. You get the same answer either way.