The correct answers are:
vertical angle theorem
angle addition postulate
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
The evidence in the proof that supports the statement that m/AOW = 45° is:
Statement 3: ZZOB ZXOA. This means that ZOB and ZOA are vertical angles, which means they are congruent.
Statement 4: m/XOA = 45°. This is the measure of ZOA, which is congruent to ZOB.
Statement 7: m/XOA + m/AOW = m/XOW. This is the angle addition postulate, which states that the sum of the measures of the angles in a triangle is 180°.
So, combining these pieces of evidence, we have:
m/XOA = 45° and m/XOA + m/AOW = m/XOW,
therefore m/AOW = m/XOW - m/XOA
= 90° - 45°
= 45°.
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Answer:7, 4, 6,
Step-by-step explanation:
If a cylinder has a volume of 400 cubic feet, and the height of the cylinder is 25 feet, what is the radius of the cylinder?
The radius of the cylinder is 2.26 ft
How to calculate the radius of the cylinder?
The cylinder has a volume of 400 cubic feet
The height of the cylinder is 25 feet
The radius of the cylinder can be calculated as follows
radius= √ v/πh
= √ 400/(3.142)(25)
√ 400/ 78.55
= √ 5.09
= 2.26
Hence the radius of the cylinder is 2.26 ft
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secx + tanx = 1
Please solve the problem and show work
The solution to the equation is x = 0 or x = 2πn, where n is an integer.
How to solve this problemStarting with the given equation:
sec(x) + tan(x) = 1
We know that sec(x) is equal to 1/cos(x), so we can substitute that in:
1/cos(x) + sin(x)/cos(x) = 1
Combining the two fractions on the left side:
(1 + sin(x))/cos(x) = 1
Cross-multiplying to eliminate the fraction:
1 + sin(x) = cos(x)
Now, we can use the Pythagorean identity to substitute in for sin(x)^2:
1 + (1 - cos(x)^2) = cos(x)
Simplifying:
2 - cos(x)^2 = cos(x)
Rearranging:
cos(x)^2 + cos(x) - 2 = 0
This is a quadratic equation in terms of cos(x), so we can use the quadratic formula:
cos(x) = (-1 ± sqrt(1 + 8))/2
cos(x) = (-1 ± 3)/2
cos(x) = -2 or cos(x) = 1
Since cos(x) can't be negative, we can discard the -2 solution, leaving us with cos(x) = 1. This means that x must be 0 or a multiple of 2π. Checking our work, we can see that when x = 0:
sec(0) + tan(0) = 1 + 0 = 1
So x = 0 is indeed a valid solution.
Therefore, the solution to the equation is x = 0 or x = 2πn, where n is an integer.
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Tickets for a game cost a dollars for adults and c dollars for children the expression 3a+5c represents the cost in dollars for a family for the game what is the cost for the family when an adult ticket is 13 and a child ticket costs 8$ Relatively simple but my brain is just farting thanks !
Since an adult ticket costs $13, a child ticket is $8, and expression 3a+5c indicates the price in dollars for a family to attend the game, the total cost is $79 for the event.
what is expression ?Increasing, partitioning, adding, or reducing are all doable in mathematics. As an example, take this expression: Function is defined, equation, and number The components that compose an algebraic equations are numbers, variables, but rather functions (such as addition, subtraction, multiplication or division etc.) One can differentiate two terms or sentences. The terms "expression" or "algorithmic expression" refer to any detailed estimate that suitable parameter, numbers, or an arithmetic action among both them. For instance, the phrase 4m + 5 consists of the terms 4m but also 5, as well as the number m from the given expression, which are all separated by that of the arithmetic symbol +.
given
expression 3a+5c represents the cost
3a + 5c
= 5 * 8 + 3 * 13
= 39 + 40
= 79
Since an adult ticket costs $13, a child ticket is $8, and expression 3a+5c indicates the price in dollars for a family to attend the game, the total cost is $79 for the event.
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What is the percent yield formula?
Answer:
Step-by-step explanation:
The percent yield formula is used to calculate the efficiency of a chemical reaction in producing a desired product. It is defined as the ratio of the actual yield of a product to its theoretical yield, expressed as a percentage.
The formula for percent yield is:
Percent Yield = (Actual Yield / Theoretical Yield) * 100%
where:
Actual Yield is the amount of product actually produced in the reaction.
Theoretical Yield is the maximum amount of product that could be produced in a reaction under ideal conditions, calculated from the stoichiometry of the reaction.
By using this formula, you can determine how well a reaction is performing and identify areas for improvement to increase the yield of the desired product.
A deli is trying out new labels for their cylindrical-shaped wheels of cheese. The label covers the entire wheel except the circular top and bottom.
If the wheel has a radius of 22 centimeters and a height of 16 centimeters, how many square centimeters of the wheel does the label cover? (Approximate using pi equals 22 over 7)
15,488 over 7 square centimeters
36,784 over 7 square centimeters
1,936 over 7 square centimeters
340,736 over 7 square centimeters
The true response would be 15,488/7 square centimeters based on the information provided.
What is Square used for?Square offers businesses a range of goods and services to help them complete sales transactions, use marketing strategies, and control their finances, inventory, and workforce.
The lateral surface (the curved portion of the cylinder) is added to the areas of a round top and bottom to figure out the surface surface of the cylindrical cheese wheel. The perimeter of the base (2πr, where r is the radius) as well as the height can be used to compute the lateral surface area. Each round top and bottom's surface area is πr².
Hence, the cheese wheel's overall surface area is:
(2πr × h) + (2πr²)
Inputting the values provided yields:
(2 × 22/7 × 22 × 16) + (2 × 22/7 × 22 × 22)
When we simplify and find the total area of the surface, we obtain:
15,488/7 square centimeters
As a result, 15,488/7 square centimeter of the cheese wheel are covered by the label.
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in what time will the simple interest on Rs7560 be Rs1102.50 at 25/4% per annum
The amount of time in which the simple interest on Rs7560 be Rs1102.50 at 25/4% per annum, 5 years
What is simple interest?Simple interest is an amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider: principal amount(P), rate(R) and time(T).
Every time we calculate simple interest the principal values will be the same unlike compound interest.
Formula; Simple Interest(I) = P × R × T/100
To find the time it takes for the simple interest on Rs. 7560 to be Rs. 1102.50 at 25/4% per annum, we can use the formula for simple interest:
We are given I = 1102.50 and P = 7560, and the interest rate is 25/4% per annum, which we can convert to a decimal:
r = 25/4% ÷ 100
= 0.25/4
= 0.0625
Now, we can substitute the known values into the formula and solve for t:
1102.50 = 7560 x r x t
1102.50 / 7560 = r x t
t = 1102.50 / (7560 x 0.0625)
t = 5 years
So, it will take 5 years for the simple interest on Rs. 7560 to be Rs. 1102.50 at 25/4% per annum.
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Which one of the following best defines the notion of the significance level of a hypothesis test?
a. The probability of rejecting H_o, whether it's true or not
b. The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true
c. The probability of the type I error
d. The probability of the type II error
C. The probability of the type I error best defines the notion of the significance position of a thesis test.
The significance position, denoted by alpha( α), is the probability of rejecting the null thesis(H_o) when it's actually true. This is also known as a type I error, which occurs when we inaptly reject a true null thesis.
Option a isn't correct because the probability of rejecting H_o, whether it's true or not, isn't fixed and depends on the sample and the chosen significance position.
Option b isn't correct because it describes the p- value, which is a affiliated conception but not the significance position. The p- value is the probability of observing a sample statistic as extreme or more extreme than the one actually attained, assuming the null thesis is true.
Option d is also not correct because it describes the probability of a type II error, which occurs when we fail to reject a false null thesis. The probability of a type II error is denoted by beta( β) and is told by factors similar as sample size and effect size.
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Each of these line plots represents a data set.
For each pair of mean and standard deviation, drag the plot into the box at the right that matches those statistics.
The line plots that represent the data sets are:
Mean = 6, standard deviation = 2 → image 1
Mean = 10, standard deviation = 2 → image 2
Mean = 10, standard deviation = 6 → image 4
What is a line plot?A line plot is a simple way to display data along a number line. It is used to show the distribution of a set of data by plotting each data point as a dot above its value on the number line. The dots are then connected with a line to create a plot.
Line plots are often used to visualize the frequency distribution of a dataset, particularly when the data is discrete or categorical. They are also useful for identifying outliers and patterns in the data.
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What are examples of continuous variable?
Answer:
Step-by-step explanation:
Continuous variables are variables that can take on any value within a specified range. Some common examples of continuous variables include:
Height: Height can be measured in inches, centimeters, or any other unit of length and can take on any value within the range of human heights.
Weight: Weight can be measured in pounds, kilograms, or any other unit of weight and can take on any value within the range of human weights.
Age: Age can be measured in years, months, or days and can take on any value within the range of human ages.
Time: Time can be measured in seconds, minutes, or hours and can take on any value within the range of time that can be measured.
Temperature: Temperature can be measured in degrees Celsius, Fahrenheit, or any other unit of temperature and can take on any value within the range of temperatures that can be measured.
Income: Income can be measured in dollars, euros, or any other currency and can take on any value within the range of human incomes.
These are just a few examples of continuous variables. In general, any variable that can take on an infinite number of values within a specified range can be considered a continuous variable.
What is the integral of 1/(1-x^2)?
The integral of 1/(1-x^2) is arctan(x).
what is integral?An integral is a mathematical operation that calculates the area under a curve by breaking it into infinitely small segments and summing them up.
To solve this integral, we use the substitution method with u=1-x^2:
∫1/(1-x2)dx =∫du/u (substitute u=1-x2)
= ln|u| + C (integrate with respect to u)
= ln|1-x2| + C (substitute back in the original expression)
= ln|1-x2| + C (substitute back in the original expression)
= arctan(x) + C (use the identity ln|1-x2| = arctan(x))
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what is marginal product formula?
The Marginal product is equal to the difference between the output and the input.
The term "marginal product" refers to the extra output that is created when one more unit of a specific input (such as labour or capital) is added to the manufacturing process while keeping other inputs constant.
The marginal product equation is:
Marginal Product is equal to the difference between the output and the input.
Where:
Change in Total Product (CTP) is the term used to describe how the firm's overall output changes when an additional unit of input is added during the manufacturing process.
The term "change in input" describes how much of an input is changed during the manufacturing process.
To put it another way, the marginal product method calculates the extra output brought on by a unit increase in input.
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PLEASE HELPPPPPP!!!!!!!
Step-by-step explanation:
Looks like this was scaled by 5 because
2 x 5 = 10
4 x 5 = 20
5 x 5 = 25
CAB ..
CA is 5
HJ is 25
AB is 2
JG is 10
CAB = HJG
What is the known probability when two events will both occur such that the probabilities of the individual events are from its product?
Answer:
The probability that two independent events will both occur can be calculated by multiplying the probabilities of the individual events. If event A has probability p(A) and event B has probability p(B), then the probability that both events A and B occur is given by:
p(A and B) = p(A) * p(B)
This relationship holds because the occurrence of event A does not affect the occurrence of event B, and vice versa. Hence, the two events are considered to be independent.
For example, if event A has a probability of 0.6 of occurring and event B has a probability of 0.7 of occurring, then the probability that both events will occur is 0.6 * 0.7 = 0.42.
In this problem you will need to factor a GCF out of the polynomial first. Factor the following polynomial completely. 2k2−8k−90
1 and 2 form a linear pair. The
measure
measure
of 2 is six more than twice the
of 1. Find m2
Answer:
Step-by-step explanation:
a + 2a + 6 = 180
3a = 174
a = 58
2(58) + 6 = 122
how do i calculate percentage increase
Answer:
The percentage increase can also be calculated using this method. Imagine you have a function that adds the number 1 to a number between 0 and 10, which we call T. Now the percentage of the function's answer will be the percentage increase from T.
[tex]f=1+t\\t=0-10\\d=f\frac{t}{100} = percentage- f- of- t[/tex]
With this method, we obtain the percentage increase of the f function.
Step-by-step explanation:
In the U.S., shoe sizes are defined differently for men and women, but in Europe, both genders use the same shoe size scale. The accompanying histograrn shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes. a) Describe the shape. b) How many modes does the histogram have? What might explain that?
the shape is bimodal and symmetric and histogram have 38 to 40 and 44 to 46.
If the two peaks are mirror reflections of one another, the bimodal distribution may be symmetrical. symmetrical Cauchy distributions exist. These are not likely to be found in basic statistics. These distributions belong to a family where the anticipated value is hypothetical. the long tails of the logistic distribution. If the data is symmetric but contains more extreme values than one would anticipate from a normal distribution, the logistic and Cauchy distributions are utilized. these different distribution types. It is symmetric for the uniform distribution. Since the odds are same at every location, the distribution is essentially a straight line. The distribution is bimodal and nearly symmetric. There are two modes in the distribution, from 38 to 40 and 44 to 46. The existence of data for both men and women may account for this. Women may prefer the lower mode, whereas males may prefer the upper.
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How do I check 3(x+2)+2(x-8)=25?
Answer:
You check a solution to an equation by replacing the variable in the equation with the value of the solution
Step-by-step explanation:
please help
Aaron has two children, Gabriel and Caroline. Gabriel is older than Caroline. The difference of their ages is 5. The sum of their ages is 33.
Let C represent Caroline's age. Let G represent Gabriel's age.
Identify the equations for this situation
gabriel is ____ years old and caroline is ___ years old
Gabriel is 19 years old and Caroline is 14 years old
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Aaron has two children, Gabriel and Caroline. Gabriel is older than Caroline. The difference of their ages is 5. The sum of their ages is 33.
Let C represent Caroline's age and G represent Gabriel's age.
Hence, We can formulate;
The difference of their ages is 5.
⇒ G - C = 5 .. (i)
The sum of their ages is 33.
⇒ G + C = 33 .. (ii)
Add (i) and (ii);
⇒ 2G = 38
⇒ G = 19 years
And, From (i);
⇒ G - C = 5
⇒ 19 - C = 5
⇒ 19 - 5 = C
⇒ C = 14 years
Thus, Gabriel is 19 years old and Caroline is 14 years old.
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it is possible to make a ratio between 2 kg and 3m? write with reason
It is not possible to make a ratio between 2kg and 3m, as the measures have different units of measurement.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is obtained applying a proportion, dividing the amount a by the amount b.
The division can only be calculated if the two amounts have the same unit of measurement, for example, if both are kg or if both are m.
As 2 kg and 3 m have different units of measurement, a ratio cannot be calculated between these two units.
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What is integral of sin 2
Sin 2 is the integral of -cos 2 plus c, where c is a constant integration equation sin2x dx = -cos2x + c.
1. Calculate sin 2 integral.
2. Apply the integration equation sin2x dx = -cos2x + c.
3. Increase the outcome by the constant C.
Sin 2 is the integral of -cos 2 plus c, where c is a constant. This integral must be calculated in several steps. Take the integral of sin 2 first. Use the integration formula sin2x dx = -cos2x + c to do this. According to this equation, the integral of sin 2 is equal to cos -2/c plus a certain constant. The next step is to add the constant c to the outcome after using this formula. This will result in the integral of sin 2 having a final value of -cos 2 + c. Any actual number may be used as the constant c, and the value will vary depending on the circumstances. It's crucial to keep in mind that the constant c must always be a part of the outcome.
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If f(x) is continuous on a closed interval, then it is enough to look at the points where f'(x) = 0 in order to find its absolute maxima and minima. Be prepared to justify your answer.
While looking at the critical points of a function f(x) is a useful first step in finding its maxima and minima, it is not enough by itself to determine all of them.
The statement is partially correct. If a function f(x) is continuous on a closed interval, it is possible to find its absolute maxima and minima by looking at the points where f'(x) = 0, but this is not enough to guarantee that you have found all of them.
The reason why this is the case is because the condition f'(x) = 0 only identifies critical points, which are points where the function may have an extremum (either a maximum or a minimum). To determine whether a critical point is indeed a maximum or a minimum, you need to analyze the behavior of the function near the critical point.
One way to do this is by using the second derivative test, which states that if f(x) is twice differentiable and f''(x) > 0 at a critical point x, then f(x) has a local minimum at x. Similarly, if f''(x) < 0 at a critical point x, then f(x) has a local maximum at x.
You also need to use additional tools, such as the second derivative test, to verify whether the critical points are indeed extrema.
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Name the number system in which only the whole numbers less than 5 are used -
The inequality representing the number system in which only the whole numbers less than 5 are used is given as follows:
{x ∈ W| x < 5}.
What are the inequality symbols?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.The inequality representing numbers less than 5 is given as follows:
x < 5.
As the numbers are whole numbers, the inequality is defined as follows:
{x ∈ W| x < 5}.
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A group of marine biologists tags 45 great white sharks off the coast of Mexico
to study migratory patterns. All of the tag numbers are unique. Weeks later, the
marine biologists travel to Hawaii. While there, they randomly capture and release
20 great white sharks per day, for three consecutive days. On the first day, 3 of the
sharks have the original tags. On the second day, 2 of the sharks have the original
tags. On the third day, 4 of the sharks have the original tags. Based on the data,
what is the estimated population of great white sharks that have migrated from
Mexico to Hawaii?
Yall are some cheaters. Quit looking it up on this website like, dang....
7/13 as a decimal rounded to the nearest hundredth.
7/13 as a decimal rounded to the nearest hundredth.
Answer: 0.54
Answer: The answer is 0.54
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Create your own puzzle problem similar to the problem at the beginning of the lesson. Post your original puzzle on the discussion board.
Original problem: The sum of three numbers is 12. The sum of the first number and the second number is 2 more than the third number. The second number minus the sum of the first number and third number is twice the third number.
Hence, the three numbers are 8, 1, and 3
Answer:
Here is my original puzzle problem:
* * *
**The Three Coins**There are three coins, each with a different value. The sum of the three coins is 10. The value of the first coin is twice the value of the second coin. The value of the third coin is 1 more than the value of the first coin.
What are the values of the three coins?
_________________
To solve this puzzle, you can use the following steps:
1. Let X be the value of the first coin.
2. Let Y be the value of the second coin.
3. Let Z be the value of the third coin.
4. Set up equations to represent the given information.
5. Solve the equations for X, Y, and Z.
The equations for this puzzle are as follows:
X + Y + Z = 10
X = 2Y
Z = X + 1
Solving these equations, we find that the values of the three coins are X = 4, Y = 2, and Z = 5.
I hope you enjoy this puzzle!
Determine the point ths of the way from point A: (3, 2) to point B: (4, -3) shown on the coordinate plane below.
The point 3/4th of the way from point A to point B is (3.25, -1.25).
What is the coordinate geometry?
In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements
To determine the point 3/4th of the way from point A to point B, we can use the midpoint formula to find the coordinates of the midpoint M of the line segment AB, and then use those coordinates to find the point 3/4th of the way from point A to point B.
The midpoint M of the line segment AB can be found using the midpoint formula:
M = ((x1 + x2)/2, (y1 + y2)/2)
where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively.
Substituting the given coordinates, we get:
M = ((3 + 4)/2, (2 - 3)/2) = (3.5, -0.5)
Now we can find the point 3/4th of the way from point A to point B by starting at point A and moving 3/4th of the way towards point B. To do this, we can use the following formula:
P = ((1 - 3/4)*x1 + (3/4)*x2, (1 - 3/4)*y1 + (3/4)*y2)
Substituting the coordinates of points A and B, we get:
P = ((1 - 3/4)*3 + (3/4)*4, (1 - 3/4)2 + (3/4)(-3)) = (3.25, -1.25)
Hence, the point 3/4th of the way from point A to point B is (3.25, -1.25).
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Ms.Ryan is making a pyramid of kick-balls, the bottom layer has a side length of 5 balls, each layer going down the side length is one less then the previous one, how many balls will be on the side length 3 layers down?
I hope some one can solve this quickly, if not thats ok.
There are 2 balls on the side length 3 layers down in the pyramid.
What is a pyramid?A pyramid is a three-dimensional figure. It has a flat polygon base. All the other faces are triangles and are called lateral faces.
Given that, Ms. Ryan is making a pyramid of kick-balls, the bottom layer has a side length of 5 balls, each layer going down the side length is one less than the previous one,
We need to find the number of balls 3 layers down,
Since, it is given that, there is reducing one balls as going down,
Therefore,
When we will go 3 layers down it will be 3 balls reduced, the layer from where we started is having 5 balls and after coming 3 layers down, the side layer will have = 5-3 = 2 balls.
Hence, there are 2 balls on the side length 3 layers down in the pyramid.
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Rayheem has
16 shirts
5 pairs of jeans
3 jackets
Rayheem chooses an outfit to wear.
An outfit is 1 shirt, 1 pair of jeans and 1 jacket.
Work out how many different outfits Rayheem can choose.
Answer:240
Step-by-step explanation:
I CAN GRAPH INEQUALITIES ON THE NUMBER LINE.
←+
x ≥6
H
15.5 > X
The graph of given inequalities is plotted on the number line is attached below.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequalities are x≥6 and 15.5>x.
The solution set of the inequality x≥6 is
{6, 7, 8, 9, 10, 11, 12, 13, 14,......}
Interval Notation: [6,∞)
x<15.5
Interval Notation: (−∞, 15.5)
Therefore, the solution set of the inequality x≥6 is {6, 7, 8, 9, 10, 11, 12, 13, 14,......}.
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