Combinatorial questions: a. In how many ways a strings with 6 characters can be ordered assuming all characters are different? b. If a bit could store 4 numbers instead of 2, how many numbers a byte could hold? c. How many 4 character different "words" you can make out of permutations of string "abcdefg"? d. How many different sets of cardinality 3 can you make out of string "abcdefg"? e. In how many distinct ways a strings "aaaabbbcc" can be ordered? f. In how many different ways you can distribute 9 same candies between 3 children? g. In how many different ways you can distribute 9 different candies between 3 children if you have 4 chocolates, 3 gummy bears, and 2 caramels?

Q: Determine if the following lines are parallel, skew or intersecting. (X,y,z>=(3,2,2)+(4,5,4)t and…

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Q: There are six lines below. 3 of which intersect at the same point. which are they? 1. y=2(x-4)+9 2.…

A: We are given 6 lines and 3 of them intersect at the same point. Now, our task is to find out those 3…

Q: Explain the term variable and its different types.

A: Variable: A variable is any characteristics, number, or quantity that can be measured or counted…

Q: What is the distance of these two points  -2,6   5,9

A: Given the co-ordinates   (−2,6) and (5,9)

Q: Find the point of the way from (8.-3. 1) to (-6.-10.-3). 0 P=0 0

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Q: What is an equation of the line that passes through the points (-3, 3) and (-6, 2)? Put your answer…

A: We have to write an equation of the line that passes through the points (-3,3) and (-6,2).

Q: A new diet guideline claims that a person weighing 140 pounds should consume 1490 daily calories and…

A: Let us consider that, x represents the weight of the person and y represent  the number of daily…

Q: Find the equations of the line joining the points (5,4),(3,4) and (1,2). Find the area enclosed by…

A: Given: The points are (5,4),(3,4), and (1,2). To find: equation of the line joining the given…

Q: When the word HIDE is reflected in a horizontal line, the image is still HIDE. Can you think of…

A: When the word HIDE is reflected in a horizontal line, the image is still HIDE.

Q: is it possible for two lines to cross in exactly 2 places? Explain.

A: Given two lines in the two-dimensional plane, the lines are equal, they are parallel but not equal,…

Q: mw 6 [Maximum A semicircle has diameter AB with length 2. The centre of AB is labelled O. The point…

A: From the given information, the corresponding figure is  where from the property of rectangle…

Q: A line passes through the points (-3, 4), (7, -2), and (17, y). What is the value of y?

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Q: When two measures are related such that as the value of one measure, increase, the value of another…

A: The relationship referred when  measures are related such that as the value of  measure, increase,…

Q: the variable that is used to predict changes in another variable is known as the

A: The variable that researchers are trying to explain or predict is called the response variable. It…

Q: Cancer-detecting dogs. A study was designed to detemine whether dogs can be trained to identify…

A: A hypothesis test for a proportion is used when you are comparing one group to a known or…

Q: What is an equation of the line that passes through the points (5, 5) and (–5, –7)? Put your answer…

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Q: What is an equation of the line that passes through the points (6, 1) and (7, 2)? Put your answer in…

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Q: The options for shade are: left of value, right of value, between two values, and 2 regions.

A: Part a:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.