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3 years ago

Graph 7/4 on the number line

Mathematics

1 answer:

MakcuM [25]3 years ago

3 0

Answer:

Step-by-step explanation:

First you have to change your fraction:

Change 7/4 into a mixed number

7/4 = 1 3/4

Then you 'guestamate' about 3/4 of the distance between 1 and 2 and mark your point. Like this:

Hope this helps

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A solid cylindrical steel rod has a base area of 100 cm2 and a length of 50 cm. What is the volume of the steel rod?

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5000 cm3

Step-by-step explanation:

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The equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

The expression is given as:

$(x + 4)^5$

To expand the expression, we make use of Pascal triangle, where:

5:= 1 5 10 10 5 1

So, we have:

$(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1 + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5$

Evaluate the exponents

$(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024$

Evaluate the products

$(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Hence, the equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Read more about binomial expressions at:

brainly.com/question/13602562

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3 years ago

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3 years ago

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Kay [80]

Answer:

14 inches

Step-by-step explanation:

The volume of a rectangular prism is V=l*w*h

Given the info in the problem, we have:

840=l*10*6

840=60l

14=l

The length of the prism is therefore 14 inches because volume is length*width*height and since we already have the volume, height, and width, we need to get the variable for length by itself.

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3 years ago