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maks197457 [2]
3 years ago
5

Lockers are numbered with consecutive positive integers beginning with 1, and the digit 2 is used exactly 106 times (including o

n the last locker). What is the number of the last locker?
Mathematics
1 answer:
navik [9.2K]3 years ago
7 0
522 is the last locker number.
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What is a equation that goes through (-4,7) and (-2,1) points
s2008m [1.1K]

Answer:

wdym

Step-by-step explanation:

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3 years ago
Together a chair, a table, and a lamp cost $572. The chair costs 4 times as much as the lamp, and the table costs $23 less than
Jet001 [13]
Chair=4x
lamp=x
table=4x-23
4x+x+4x-23=562
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3 years ago
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Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In
Trava [24]

This is the complete question:

Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In the second assessment he scores 73%. After that, his scores keep increasing by 2% in every assessment.  Assume that x represents the number of assessments since he starts recording and y represents the scores in each assessment, which of the following describes the situation?

a. a relation only b.

b. neither a function nor a relation

c. a function only

d. both a relation and a function

Answer:

  • <u><em>d. both a relation and a function</em></u>

Step-by-step explanation:

<em>A relation</em> is any statement, either verbal or mathematical, that connects, interrelates or associates, two or more elements (objects, persons, variables).

The text describes a situation where the scores in the assesments are related to the number of statements since Mark starts recording, hence this is a relation.

<h2>Is this relation a function or not?</h2>

In order for a relation be a function, the association has to be unambiguos. This means that for a given input only one output can exist. If an input can have two or more outputs, then you can not determine which is the output for that input. This is what defines whether a relation is a function or not.

In the situation described in the text, x is the input, i.e. the number of assessments since Mark starts recording the scores. Definetely, the number of assessment is not repeated: there is only one first assessment, only one second assessment, only one third assessment, ... the number of assessment cannot not get repeated. Of course, if the input is not repeated, there is only one output associated to the input (each assessment has just one associated score)  and the relation is a function.

3 0
3 years ago
Are the equations lxl – 3 = 7 and [x] = 10 equivalent?
zvonat [6]

They're not equivalent.

|x| (vertical bars) represents the absolute value of x. How it works is that it turns negative numbers positive but leaves 0 and positive numbers alone (hence it gets a number's distance from 0 on the number line).

[x] (square brackets) usually represents the floor function, which returns the largest integer that is less than or equal to x. (The floor of x can also be written as \lfloor x \rfloor --- it depends on what your textbook/source says).

To solve |x| - 3 = 7, you first transform it into the equivalent equation |x| = 10. Then by definition of absolute value, there are only two solutions for the first equation: x = 10 or x = -10.

[x] = 10 has infinitely many solutions. For example, the floor of 10 is 10, so [10] = 10, thus a solution for the second equation is x = 10

The floor of 10.1 is 10, so [10.1] = 10, thus another solution for the second equation is x = 10.1.

The two equations do not have the same solution set (as x = 10.1 does not solve |x| - 3 = 7 but solves [x] = 10), so they're not equivalent.

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3 years ago
Help multiple choice but plz be right! Due soon
jekas [21]

Answer:

I have no info...

Step-by-step explanation:

Listen to my new playlist! https://open.spotify.com/playlist/2OmVJb8VeE0HZtU56u6IFC

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3 years ago
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