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2 years ago

The number 2^1993 + 3^1993 is a multiple of 5. What is the units digit of the quotient (2^1993 + 3^1993)/5?

Mathematics

1 answer:

Ad libitum [116K]2 years ago

3 0

Answer: The unit digit of the quotient is 1.

Step-by-step explanation:

Since the number 2^1993 + 3^1993 is a multiple of 5, this means that no matter the value of the answer to the equation, the last digit will be 5 (we call the last digit of any number its "unit digit").

Since the unit digit of 2^1993 + 3^1993 is 5, if the unit digit is divided by 5 i.e 5/5, it will give us 1.

We will only consider the last digits of the multiple of 5 as our numerator

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Vector bought 15.6 pounds of paintballs. All together, the balls cost $35.99.

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2 years ago

Which would best display the following data if you wanted to display the numbers which are outliers as well as the mean? [4, 1,

Serhud [2]

Arranging data in ascending order to identify the outlier and calculate the mean

Step-by-step explanation:

Given the data as: [4, 1, 3, 10, 18, 12, 9, 4, 15, 16, 32]

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[1, 3, 4, 4, 9, 10, 12, 15, 16, 18, 32 ]

The outlier is 32

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Outliers: brainly.com/question/12612191

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2 years ago

Rank the following quantities in order of decreasing volume. rank from highest to lowest volume. to rank items as equivalent, ov

Anastasy [175]

This should be the data:

1ML
100L 
5 million nL 
1GL 
50 mL 
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Below is the answer:

the conversion into litres are next to the order of volume.
1. 1GL (10^9) 
2. 1ML (10^6) 
3. 100L (100) 
4. 50mL (50*10^-3)=0.05 
5. 1cL (10^-2) 
6. 5 million nL [(5*10^6)*(10^-9)]=0.005 
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2 years ago

Sara wants to find the input value that produces the same output for the functions represented by the tables.

Korolek [52]

Answer:

The input value that produces the same output value in both charts is 2.

Step-by-step explanation:

You are given two functions $f(x)=-0.5x+2$ and $g(x)=2x-3$ with tables

$\begin{array}{cc}x&f(x)\\-3&3.5\\-2&3\\-1&2.5\\0&2\\1&1.5\\2&1\\3&0.5\end{array}$

and

$\begin{array}{cc}x&g(x)\\-3&\\-2&\\-1&\\0&\\1&\\2&\\3&\end{array}$

First, fill in the second table:

$g(-3)=2\cdot (-3)-3=-6-3=-9\\ \\g(-2)=2\cdot (-2)-3=-7\\ \\g(-1)=2\cdot (-1)-3=-5\\ \\g(0)=2\cdot 0-3=-3\\ \\g(1)=2\cdot 1-3=-1\\ \\g(2)=2\cdot 2-3=1\\ \\g(3)=2\cdot 3-3=3$

Hence, the second table is

$\begin{array}{cc}x&g(x)\\-3&-9\\-2&-7\\-1&-5\\0&-3\\1&-1\\2&1\\3&3\end{array}$

The input value that produces the same output value in both charts is 2.

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2 years ago

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