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3 years ago

Simplafy the equation 7x-3+4x+5

Mathematics

1 answer:

Allisa [31]3 years ago

7 0

Answer: 11x + 2

Step-by-step explanation:

Simplify: 7x - 3 + 4x + 5

Add 7x and 4x.

11x − 3 + 5

Add −3 and 5.

11 x + 2

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kiruha [24]

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3 years ago

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nickel has an approximate diameter of 20 mm and an approximate thickness of 2 mm what is the approximate volume of a stack of 40

ziro4ka [17]

Answer:

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Step-by-step explanation:

A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels ( $V_{net}$ ), measured in cubic milimeters, is the product of the number of elements ( $n$ ), no unit, and the volume of each element ( $V$ ), measured in cubic milimeters. That is:

$V_{net} = n\cdot V$ (1)

By volume equation of right cylinder, we have the following formula:

$V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h$ (2)

Where:

$n$ - Amount of nickels, no unit.

$D$ - Diameter of nickel, measured in milimeters.

$h$ - Thickness of nickel, measured in milimeters.

If we know that $n = 40$ , $D = 20\,mm$ and $h = 2\,mm$ , then the net volume of the stack of nickels is:

$V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)$

$V_{net} \approx 25132.741\,mm^{3}$

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

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2 years ago

Define recursive rule.

Leni [432]

Answer:

A recursive formula always uses the preceding term to define the next term of the sequence. Sequences can have the same formula but because they start with a different number, they are different patterns.

Step-by-step explanation:

hope this helps

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3 years ago

Find the value of each of these quantities. <br> C(5,3)<br> C(8,8)<br> C(12,6)

Paul [167]

$C^n_k= \frac{n!}{(n-k)!c!} 
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Alla [95]

Hope this helps.

Good luck mate :P

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