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2 years ago

Convert (10111)2 into decimal number system

Mathematics

1 answer:

Eva8 [605]2 years ago

4 0

Answer:

$(10111)_2 = (23)_{10}$

Step-by-step explanation:

$(10111)_2 = (1 \times 2^4) + (0 \times 2 ^3) + (1 \times 2^2) + (1 \times 2) + (1 \times 2^0)$

$= 16 + 0 + 4 + 2 + 1\\=23$

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Matsuki is very very bored... 34 + 35 x (60/2) - (40/2) = ?

allsm [11]

I believe the answer is 1064.

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2 years ago

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show

Tju [1.3M]

Answer:

The volume of the rectangular prism is 19.25 inches³.

Step-by-step explanation:

Given:

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism.

Now, to find the rectangular prism's volume.

We first find the volume of a cube to fill in the rectangular prism.

The side length of the cube = $\frac{1}{2}\ inch.$

Now, to get the volume of cube we put formula:

$Volume=(side)^3\\\\Volume=(\frac{1}{2})^3 \\\\Volume=\frac{1}{8}\ inch^3.$

Thus, the volume of a cube is $\frac{1}{8} \ inch^3.$

Number of cubes = 154.

According to question, it takes 154 cubes to fill the rectangular prism.

So, to get the volume of prism we need to find the volume of 154 cubes.

Now, to get the volume of 154 such cubes we multiply the volume of a cube by number of cubes:

$\frac{1}{8}\times 154\\\\ =\frac{154}{8}\\\\ =19.25\ inches^3.$

Therefore, the volume of the rectangular prism is 19.25 inches³.

3 0

3 years ago

Can someone tell me if I'm correct or not?

Gnoma [55]

No the vertex should be at (-3,-2) (I checked on my calculator)

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2 years ago

How do I solve this step by step?

Mashcka [7]

First step : 2(2))+5\2 -2(2))+3\2 =9\2 -7\2 =2\2 =1

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2 years ago

What is the median of the data set? 50 41 33 35 70 56 53 42 33 62

Firdavs [7]

To find the median of the data set, you must first put the numbers in order

33, 33, 35, 41, 42, 50, 53, 56, 62, 70

Now that we have them in order, find the one that is in the middle. In this case it's an even amount of numbers so there are 2 middle numbers 42 and 50.

What you do when you end up with this situation all you have to do is add the two middle numbers

42 + 50 = 92 then divide the total by 2, which is finding the average of the two numbers.

92 ÷ 2 = 46

46 is the median of the data set.

Hope this helps. :)

7 0

3 years ago

Convert (10111)2 into decimal number system​

Convert (10111)2 into decimal number system