The amount of vanilla in one container of pudding is given as follows:
One teaspoon.
How to obtain the amount of vanilla?The amount of vanilla in one container of pudding is found applying the proportions in the context of the problem, via a rule of three.
The rule of three is defined as follows:
1/6 teaspoon - 2/12 containers.
x teaspoon - 1 container.
The first line can be simplified as follows:
1/6 teaspoon - 1/6 containers.
(as 2/12 = 1/6).
Hence there is one teaspoon of vanilla in one container of pudding.
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Three cups of soup and two sides of rice cost $15.85. Six cups of soup and four
sides of rice cost $31.70. Find the cost of 1 cup of soup and 1 side of rice.
The cost of 1 cup of soup is, $5.28 and 1 side of rice is $7.92.
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;
Three cups of soup and two sides of rice cost $15.85.
And, Six cups of soup and four sides of rice cost $31.70.
Let cost of 1 cup of soup = x
And, The cost of 1 side of rice = y
Here, Three cups of soup and two sides of rice cost $15.85.
Hence, We can formulate;
⇒ 3x + 2y = 15.85 .. (i)
And, Six cups of soup and four sides of rice cost $31.70.
Hence, We can formulate;
⇒ 6x + 4y = 31.70 .. (ii)
By equation (i) and (ii);
⇒ x = $5.28
⇒ y = $7.92
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I HAVE AN HOUR TO DO THIS HELP
Answer:
Step-by-step explanation:
Your first answer is correct. Good job
Your second answer is correct. good job
Your last answer is correct. good work
How do i solve 6/8 divided by 9/8?
Graph the linear inequality y < 3x using slope-intercept form.
Given inequality:
y < 3xTo graph it first, consider line:
y = 3xFind two points on the line.
x = 0 ⇒ y = 3*0 = 0, so the point is (0, 0)x = 1 ⇒ y = 3*1 = 3, the point is (1, 3)Now, plot the two points.
Next, draw a dashed line trough the two points. Dashed line because the line is not included into solution set, due to '<' sign.
The last step, shade the area below (to the right) the line. Below the line because 'y <' means 'y-values less than' which appears below the line.
Answer:
See attachment.
Step-by-step explanation:
Given linear inequality:
[tex]y < 3x[/tex]
When graphing inequalities, temporarily replace the inequality sign for the equals sign:
[tex]\implies y=3x[/tex]
Find two points on the line by substituting two values of x into the equation:
[tex]x=0 \implies y=3(0)=0 \implies (0, 0)[/tex]
[tex]x=1 \implies y=3(1)=3 \implies (1,3)[/tex]
When graphing inequalities:
< or > : dashed line.≤ or ≥ : solid line.< or ≤ : shade under the line.> or ≥ : shade above the line.Therefore, to graph the given linear inequality:
Plot points (0, 0) and (1, 3).Draw a dashed straight line through the points.Shade under the dashed line.Which of the following equations represent the graph that is shown on the coordinate plane below?
Answer:
the coordinate plane has a big example
Step-by-step explanation:
evaluate function expressions
I need to know functions
An algorithm that converts one number into a different one is called a function.
What are the essentials of functions? A function is an algorithm that transforms one number into another.What the function receives as input is referred to as the independent variable or function's argument.The output of the function is referred to as dependent variables. Functions come in 4 different categories:the return values and arguments of functions.There are arguments and a value returned by this function:arguments-based functions without return values.functions that have both return values and no arguments.the absence of return values and arguments in functions.Chapter 1: Operation Function theory is not particularly difficult, yet students struggle because its fundamentals are unclear.Chapter 1 of Mathematics 2: Function .The human mind developed Function Theory to increase one's capacity for thought.To learn more about functions refer
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Please help I need this very quick please
Answer:
The answer is that a(t) is decreasing from 5 to 6 minutes.
Step-by-step explanation:
The other answers do not make sense, except for one which may be confusing. That answer is that a(t) is negative from 5 to 6 minutes.
The graph, however, while decreasing, is never negative, as the distance can never be a negative measurement. Nor is the graph slanted up and to the left.
Short answers
a) For each matrix, describe the transformation that is
achieved.
b)
A further transformation matrix D is required which combines
the effects of matrices A and B. Explain why care must be
taken in the ordering of transformation matrices.
This could result in an unexpected transformation. Therefore, the order of the matrices must be taken into account when combining them.
What is matrix?Matrix is a mathematical entity composed of elements arranged in rows and columns. It is used to represent and manipulate various types of data and is commonly used in scientific and engineering applications. Matrices are useful for representing linear equations and transformations of vector spaces, such as scaling and rotation. They can also be used to store data and perform calculations on that data.
Matrix A is a scaling matrix which is used to change the size of an object. This transformation is achieved by multiplying each component of the vector by a value, resulting in a larger or smaller object.
Matrix B is a rotation matrix which is used to rotate an object. This transformation is achieved by multiplying each component of the vector by a coefficient which is then added to the other components, resulting in a rotated object.
Matrix D is a combination of matrices A and B, where the effects of matrix A are applied first and then the effects of matrix B are applied. Care must be taken when combining the two matrices because the order of the transformations matters; applying the effects of matrix B first would result in a different transformation than applying the effects of matrix A first. If matrix B is applied first, it will rotate the object before it is scaled, meaning that the scaling will be applied to the already-rotated object. This could result in an unexpected transformation. Therefore, the order of the matrices must be taken into account when combining them.
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Find the value of x and m
A student lifts up a spring scale attached to a block on a table. While the block is still resting on the table, compare the effort force to the force of gravity
The relation between effort force and the force of gravity can be represented as, Fₐ < Fₙ
What is Force ?The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.
Given that,
A student lifts up a spring scale attached to a block on a table
The block is still resting on the table
The relation between effort force to the force of gravity = ?
Suppose,
The effort force = Fₐ
The force of gravity = Fₙ
block is still resting on the table,
it means effort force is less than the force of gravity,
To move upward, it is required to apply more effort force,
but, here effort force is less
So, It can be written as,
Fₐ < Fₙ
Hence, the relation between both the forces is Fₐ < Fₙ
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HELP PLEASE DUE IN 10 MINUTES 20 POINTS
A. AC=0.8, mLA'= 53°
B. AC = 1, mLA' = 37°
C. A'C'= 1, mLA = 7.4°
D. AC = 25, mLA' = 37°
After dilatation, the length of AC will be 20. The angle A’ will then be measured at 37°.
What exactly is dilation?Dilation is the process of expanding the size of something without changing its shape. The size of the item can be increased or decreased depending on the scale factor.
We have done so.
AABC is dilated by a factor of four to provide AA’B’C’.
The triangle A’B’C’ is formed by diluting the triangle ABC by a factor of four.
Then the length of AC after dilatation. We now have
A’C’ = scale factor multiplied by AC
A’C’ = 4 x 5
A’C’ = 20
The angle A’ will then be measured.
Dilation has no influence on the angle.
∠A = ∠A’ = 37°
As a result, the proper selection.
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A depth finder shows that the water in a certain place is 620 feet deep.The difference between d,
the actual depth of the water, and the reading is |d-620] and must be less than or equal to 0.05d. Find the minimum and maximum values of d, to the nearest tenth of a foot.
Answer:
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠠⣔⣛⡉⠀⠬⣈⠀⢛⣬⡳⣽⣺⢿⣿⣿⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠤⠤⣫⢌⠳⣍⠶⣻⡵⣯⢿⣯⣿⣿⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣏⣀⠀⠀⠀⠀⢠⡀⠀⠀⡠⢀⠰⢌⡳⣭⢓⣮⢻⣵⣻⣽⡿⣯⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣗⣩⣙⣉⣅⣤⢶⣶⣟⣷⣧⣬⡐⣎⢳⡱⣏⡿⣼⣳⢷⣻⢾⣽⣻⣿⢾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠈⠚⡴⣛⣮⠳⡍⣿⣞⣿⣿⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⢟⠫⡝⢩⢿⣿⢿⠿⡹⠄⡀⠀⠀⠀⢳⡹⣎⡗⡨⣽⣾⣹⣿⣟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣠⡞⠃⢌⣴⡿⠏⢸⡛⡴⢊⢧⡑⢌⠐⢠⡐⢠⢚⡵⣫⢞⡵⢫⠜⡻⣾⡽⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡶⠋⢀⣼⡿⣋⡞⢀⡡⢚⡕⡫⢆⠴⣨⡉⠲⢌⢲⣋⢾⣱⢫⠔⣫⢞⣵⣺⢿⣽⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⢀⣴⡿⣣⢟⡵⠂⢄⢣⢏⡼⡑⢎⡰⢆⡱⡙⣎⠳⣜⢯⣞⡱⢪⠵⣚⡷⣯⢿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠃⢜⢫⢃⠷⡡⢏⠆⡁⡌⢊⠖⠡⡙⢌⠲⢌⡲⢹⠴⣛⡼⣳⢎⡷⣡⢫⣝⡾⣽⡿⣷⣿⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⠞⠁⠠⠉⠀⠂⠉⠐⠡⠪⠔⡡⣜⢢⠌⡀⠀⠂⡜⢪⡱⣋⢾⣱⢫⡗⣿⣲⠱⣏⡾⣙⣿⣿⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣾⣧⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠂⠑⠌⢣⡜⢬⣑⠢⣅⢣⢵⣩⢖⢧⡻⣼⣳⣭⢟⣼⢻⡽⣾⣯⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣐⣈⣅⣩⣝⢢⣝⣣⢞⡳⢌⡓⢮⢖⡭⣚⡵⢧⣟⡾⣝⡾⣯⣟⣷⡿⣽⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠲⣉⠓⢎⡳⡱⣞⢿⣾⣿⣿⣿⣷⣿⣯⣿⣿⣿⣿⣿⡿⢿⣿⣦⡀⠀⠀⠀⠀⠀
⠀⠀⢀⣴⣾⣿⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠰⠉⠰⠠⢍⠢⡵⡹⣬⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠙⣿⣷⣄⠀⠀⠀⠀
⣤⣶⣿⡿⠛⠁⠀⣾⣿⡿⠿⠿⠟⠟⠻⢛⠛⠛⠉⠉⠂⠁⠀⠀⠰⢡⠙⡬⢳⡱⢯⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⢻⣿⣧⡄⠀⠀
⣿⣿⣯⣄⡀⠀⢼⣿⣷⣶⣶⣤⣤⣤⣀⣄⣀⣀⡀⡀⢀⡀⠅⢢⣑⢪⡱⡭⢧⣻⡽⣞⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⢿⣿⣷⣄
⠀⠉⠻⢿⣿⣦⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣯⢷⣎⣧⢳⡹⡷⣭⢿⡽⣾⢿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣠⣤⣶⣾⣿⣿⣿⠟
⠀⣠⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣳⡾⣭⢷⣻⢽⣹⢯⣟⣿⡿⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⡿⠋⠉⠀⠀⠀⠀
⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣟⢷⣫⣽⢳⡝⡾⣭⣟⣾⢿⣽⣿⣟⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣽⣞⣿⣟⣷⣽⣞⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⠿⠿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠛⠛⣿⣿⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣤⣶⣤⣤⣀⣀⣀⣀⣀⡀⠀⠀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣙⡛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
jonah is playing a game with his frind rita.there using a spiner below for there game.If jonah spins the spinner twice ,which of these reprensents the possible outcomes of his spin
It all depends on how the spinner is set up, what symbols or numbers it contains and how it is marked.
What is symbol?Symbols are an important part of human communication. They are used to convey a specific meaning, feeling, or idea. Symbols can be visual, such as an object or gesture, or verbal, such as a word or phrase. Symbols are used to represent a concept or idea, often in a way that is easier or more efficient than using words.
The possible outcomes of Jonah's spin could be any of the following:
1. Two of the same numbers, e.g. both 7s or both 11s.
2. Two different numbers, e.g. 8 and 4.
3. One number and a symbol, e.g. 5 and the star.
4. Two symbols, e.g. the heart and the diamond.
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PLEASE I NEED HELP PLS THANK U SM MATH
In the given circle graph, central angle of people like to travel by boat is 72°.
What is circle graph?Circle graphs also known as pie charts are one of the most commonly used graphs to represent data using the attributes of circles, spheres, and angular data to represent real-world information. It is used to visualize information and data.
Given that, A travel magazine surveyed 500 of its adult readers about their favorite ways to travel.
The circle graph below shows that 125 people like to travel by train, 275 people like to travel by airplane, and 100 people like to travel by boat.
In a circle graph, the whole circle which subtends a 360-degree angle at the center is broken into different.
Central angle of people like to travel by train:
125/500 ×360°
= 90°
Central angle of people like to travel by airplane:
275/500 ×360°
= 198°
Central angle of people like to travel by boat:
100/500 ×360°
= 72°
Therefore, in the given circle graph, central angle of people like to travel by boat is 72°.
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a) Write 5.1 x 10¹ as an ordinary number.
b) Work out the value of (1.7 x 10¹) × (8.5 × 10-²)
Give your answer in standard form.
On solving the provided question we can say that ordinary number the answer is 1.495 x 10^0
What is an ordinary number?An ordinary number, also known as a standard form number or a decimal number, is a number that is written in the familiar base-10 format, with a whole number part and a fractional part separated by a decimal point.
A) 5.1 x 10¹ as an ordinary number is 51.
B) To work out the value of (1.7 x 10¹) × (8.5 x 10-²), we first need to multiply the two numbers:
(1.7 x 10¹) × (8.5 x 10-²) = 1.7 x 8.5 x 10¹ x 10-² = 14.95 x 10-1
To express the answer in standard form, we need to move the decimal point to the left so that there is only one non-zero digit to the left of it. 14.95 x 10-1 is 1.495 x 10^0. So the answer is 1.495 x 10^0
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Myra blended 24 oz of orange sherbet when making 5/8 of smoothie. How many ounces of orange sherbet are needed for one batch?
Answer: To find out how many ounces of orange sherbet are needed for one batch of smoothie, you can use the proportion of orange sherbet to the total amount of smoothie.
24 oz of orange sherbet / 5/8 of smoothie = x oz of orange sherbet / 1 batch of smoothie
To solve for x, you can cross-multiply and simplify:
(24 oz of orange sherbet) * (1 batch of smoothie) = (5/8 of smoothie) * x oz of orange sherbet
24 * 1 = 5/8 * x
24 = 5/8 * x
By multiplying both sides by 8/5,
x = 24 * 8/5
x = 38.4 oz
So, 38.4 ounces of orange sherbet are needed for one batch of smoothie.
Step-by-step explanation:
Part B
Select the correct inequality symbol to complete the inequality.
d
Choose...
16
The complete inequality is d ≥ 3.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
We have the number line graph.
Let d be nay number in the real line.
And in the number line,
the line have the closed circle at 3 and increasing to the right to 3.
That means, the inequality,
d ≥ 3.
Therefore, the inequality is d ≥ 3.
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The complete question is given in the attached image.
Jewelers emphasize that the price of a diamond is
determined by cut, carat weight, color and clarity.
Draw a line that passes through the points
(0.35,1629) and (0.12,334.50).
Use your line to predict the price of a 0.17-carat
diamond.
C
Price
Check
X
Question 2
Price (U.S. $)
1500
1000
500-
T
√
On solving the provided question, we can say that the provided coordinates are(0.35 , 1629) and (0.12 , 334.50) the equation of line that can be formed it [tex]334.50x = 1629y - 0.47 = 0[/tex]
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
the provided coordinates are
(0.35 , 1629) and (0.12 , 334.50)
the equation of line that can be formed it
y1--y = m (x - x1)
1629y - 0.35 = 1(334.50x - 0.12)
334.50x = 1629y - 0.47 = 0
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560/17 participate in a football tournament if each team plays against every other team ones, how many matches will be played tota
According to the information, it can be inferred that the total matches that would be played in total are 160,461.
What is a mathematical combination?A combination is a term to refer to an arrangement of elements in no particular order. For example:
When we put together a sandwich with salami, ham and turkey. The order in which the deli meats are placed does not matter as long as they are in a sandwich. There is only one way to stack the meat on the sandwich when the order doesn't matter.
How to calculate how many matches will be played in total?To calculate how many matches will be played in total we have to perform the following procedure:
[tex]= ^{567} C_{2} \\= \frac{(567)!}{2!565!} \\= \frac{567 * 566 * (565)!}{2 * (565)!} \\= 567 * 283\\= 160,461\\\\[/tex]
As we can see after the combination, the number of games that would be played in this tournament would be 160,461.
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In a survey, a group of students were asked to name their favorite type of game. There were 5 students who chose “other” types of games.
The percentage of students who chose " other " types of games, from the group of students was 25 %
How to find the percentage ?The percentage of students who chose " other " types of games can be found by the formula:
= Number of students who chose " other " types of games / Total number of students x 100 %
Number of students who chose " other " types of games = 5 students
Total number of students = 20 students
The percentage is:
= 5 / 20 x 100 %
= 0. 25 x 100%
= 25 %
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The full question is:
In a survey, a group of 20 students were asked to name their favorite type of game. There were 5 students who chose “other” types of games. What is the percentage of those students who chose " other "?
Evaluate The Following Integral If R [0, 1] X [0, 1]. 3yexy DA
Evaluated the Following Integral If R [0, 1] X [0, 1]. 3y xy DA is [tex]\frac{3}{24}[/tex].
What is integral ?
An integral is a mathematical concept that represents the area under a curve, or the accumulation of a quantity over a given interval. Integrals are a fundamental concept in calculus, which is the branch of mathematics that deals with the study of rates of change and accumulation. In other words, an integral can be thought of as the sum of an infinite number of infinitesimal "slices" of the quantity being measured, over a given interval. Integrals can be used to solve a wide variety of problems.
The integral is evaluated as follows,
∫[0,1]∫[0,1] 3yxy dydx
= 3∫[0,1] yxy dxdy
= 3 * (1/4) * ∫[0,1] x dxdy
= 3 * (1/4) * (1/2) * x^2 dy
= 3 * (1/4) * (1/2) * (1/3) = 3/24
Hence , Evaluated the Following Integral If R [0, 1] X [0, 1]. 3y xy DA is [tex]\frac{3}{24}[/tex].
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Daniel takes out a 40-year $150,000 loan from his bank in 2020. The
quadratic equation that approximates the year/loan balance relationship is
y = -120x^2 - 2500x + 80,000, where x is the number of years and y is the
balance. In what year, will his loan balance be $21,480?
So on solving the provided question we can say that - the equation will be y = -120x^2 - 2500x + 80,000; x = 0 so, y = 80000
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
y = -120x^2 - 2500x + 80,000
x = 0
so, y = 80000
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On the unit circle, how many radians would the point (-1,0) pass if rotated counterclockwise until it first reaches (root3/2,-1/2)?
The radians that the point (-1,0) would pass if rotated counterclockwise until it first reaches (√3/2,-1/2) is 2π/3.
How do we get the radians?When a point on the unit circle is rotated counterclockwise, it traces out an angle in radians. To find the number of radians that the point (-1,0) would pass if rotated counterclockwise until it first reaches (√3/2,-1/2), we can use the fact that the point (-1,0) corresponds to an angle of π radians on the unit circle, and the point (√3/2,-1/2) corresponds to an angle of 5π/3 radians on the unit circle.
To find the number of radians passed, we need to subtract the initial angle (π) from the final angle (5π/3), so (5π/3 - π) = 2π/3 radians.
Therefore, the point (-1,0) will pass 2π/3 radians when it is rotated counterclockwise until it first reaches (√3/2,-1/2)
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If the figure below is translated in the direction described by the arrow, what will be the new coordinates of point D after the transformation?
The new coordinates of point D after the transformation(-4 -4)
How can new coordinates be found after translation?If the following figure is translated in the manner given, then - 1By adding the value of the horizontal translation to the initial x-coordinate (adding a negative amount if translating to the left), one may get the new x-coordinate of the moved point.A point moves along the x-axis when it is translated to the right or left, changing its x-coordinate. As a result, if a point is moved one unit to the right, its x-coordinate rises by one unit, changing the value of the point (x,y) to (x+a,y).The new coordinates of point D after the transformation (-4 -4).To learn more about coordinates refer to:
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There are 16 ounces in 1 pound, so the expression z/16, where z represents the number of ounces, can be used to find the number of pounds for any given number of ounces. How many pounds are in 40 ounces?
Answer:
40 ounces is equal to 2.5 pounds------------------------
Use the given expression z/16, substitute z with 40 and calculate:
z/16 = 40/16 = 2.5 poundsA geometric sequence begins with −4, 20, −100, 405, … Which option below represents the formula for the sequence? f(n) = −5(−4)n−1 f(n) = −4(−5)n−1 f(n) = −5(−4)n f(n) = −4(−5)n
The equation that represents the formula for the sequence is f(n) = −4(−5)^n−1
What is geometric sequence?A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.
The ratio of any term to the one that precedes it should be the same for all terms. If they are all the same, then r, the common difference, is that value
The nth term of a geometric sequence is given as
a(n) = ar^n -1
where a is the first term which is -4
r is the common ratio = 20/-4 = -5
Therefore f(n) = -4(-5)^n -1
Therefore the expression that represents the formula of the sequence is f(n) = -4(-5)^n - 1
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A woodpecker can live 27 years, a swallow 3 times less, and a crow lives 45 years longer than a swallow. How many years can a crow live?
Answer:
54 years
Step-by-step explanation:
If we want to know how to solve for the number of years a crow can live, we can use this equation:
(27 ÷ 3) + 45 =?
We can first solve for 27 divided by 3.
(27 ÷ 3) + 45 =?
9 + 45 =?
Now solve for 9 plus 45:
9 + 45 = 54
Therefore, if a woodpecker can live 27 years, a swallow 3 times less, and a crow 45 years longer than the swallow, we can say that a crow can live for 54 years.
JKLM is a parallelogram. JN = 5 ft, and KN = 7 ft. Solve for KM
KM= ft?
The length KM is equivalent to 8.61 ft.
What is a parallelogram?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
Given is that JKLM is a parallelogram such that JN = 5 ft and KN = 7 ft.
We can write that -
KM² = JN² + KN²
KM² = 5² + 7²
KM² = 25 + 49
KM² = 74
KM = √74
KM = 8.61
Therefore, the length KM is equivalent to 8.61 ft.
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When performing a hypothesis test on two dependent samples, the variable of interest is
Choose one answer.
a. the data that is the same in both samples.
b. all of the combined data.
c. the absolute value of the differences that exist between the matched-pair data.
d. the differences that exist between the matched-pair data.
When performing a hypothesis test on two dependent samples, the variable of interest is
d. the differences that exist between the matched-pair data.
In a hypothesis test on dependent samples, the variable of interest is the difference between the two samples. The test compares the means of the two samples and checks whether the difference is significant or not. The sample data are matched-pair, meaning that each data point in one sample corresponds to a specific data point in the other sample.
The variable of interest is the difference between the two matched data points, this difference is also known as the dependent variable.
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