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Nataly [62]
3 years ago
5

Decide whether the expression has been simplified correctly.

Mathematics
1 answer:
Alexeev081 [22]3 years ago
6 0

Answer:

No.

Step-by-step explanation:

According to the law of exponent:-

\displaystyle \large{( \frac{a}{b}) ^{m}   =  \frac{ {a}^{m} }{ {b}^{m} }  }

Therefore:-

\displaystyle \large{( \frac{a}{4} )^{5} =  \frac{ {a}^{5} }{ {4}^{5} }  }

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Drupady [299]
<span>The outside part or uppermost layer of something (often used when describing its texture, form, or extent).</span>
8 0
3 years ago
Does anybody know the answer to these questions?
san4es73 [151]

Answer:

  1. 625,000 J

  2. 100 J

  4. 5 kg

  5. √5 ≈ 2.236 m/s

Step-by-step explanation:

You should be aware that the SI derived units of Joules are equivalent to kg·m²/s².

To reduce confusion between <em>m</em> for mass and m for meters, we'll use an <em>italic m</em> for mass.

In each case, the "find" variable is what's left after we put the numbers into the formula. It is what the question is asking for. The "given" values are the ones in the problem statement and are the values we put into the formula. The formula is the same in every case.

__

1. KE = (1/2)<em>m</em>v² = (1/2)(2000 kg)(25 m/s)² = 625,000 kg·m²/s² = 625,000 J

__

2. KE = (1/2)<em>m</em>v² = (1/2)(0.5 kg)(20 m/s)² = 100 kg·m²/s² = 100 J

__

4. KE = (1/2)<em>m</em>v²

  250 J = (1/2)<em>m</em>(10 m/s)² = 50 m²/s²

  (250 kg·m²/s²)/(50 m²/s²) = <em>m</em> = 5 kg

__

5. KE = (1/2)<em>m</em>v²

  2000 kg·m²/s² = (1/2)(800 kg)v²

  (2000 kg·m²/s²)/(400 kg) = v² = 5 m²/s²

  v = √5 m/s ≈ 2.236 m/s

7 0
3 years ago
The prism shown has a volume of 35cm³. Work out the height of the triangular cross section. The length going back is 7cm and the
Gre4nikov [31]

Answer:

2.5 cm

Step-by-step explanation:

The volume of a triangular prism is cross section × length.

The cross section area is the triangle area. The triangle length is 4 cm, the height is not given. The length of the triangular prism is 7cm.

4 × h × 1/2 × 7 = 35

14h = 35

h = 35/14

h = 5/2

The height of the triangular cross section is 2.5 cm.

3 0
3 years ago
41/19 as a decimal rounded to the nearest hundredth
Novay_Z [31]

41/19 as a decimal is 2.157895

the nearest hundredth: 2.16

7 0
3 years ago
Read 2 more answers
A. ASA<br> B. CPCTC<br> C. AAS<br> D. SAS
Ede4ka [16]

Answer:

It is ASA congruence rule as the 2 angles and the included side of the triangle are equal

6 0
3 years ago
Read 2 more answers
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