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lisov135 [29]
3 years ago
12

Suppose that 9 is a factor of a number. Which statement must be true?

Mathematics
1 answer:
Tresset [83]3 years ago
4 0
Since 9 is a factor of an unknown number, that means that that number has to be a multiple of 9. If 9 is the factor of something then that something HAS to be a multiple of 9.
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A particle sits on a smooth surface and is acted upon by a time dependent horizontal force, giving it an
garik1379 [7]

(a) By the fundamental theorem of calculus,

<em>v(t)</em> = <em>v(0)</em> + ∫₀ᵗ <em>a(u)</em> d<em>u</em>

The particle starts at rest, so <em>v(0)</em> = 0. Computing the integral gives

<em>v(t)</em> = [2/3 <em>u</em> ³ + 2<em>u</em> ²]₀ᵗ = 2/3 <em>t</em> ³ + 2<em>t</em> ²

(b) Use the FTC again, but this time you want the distance, which means you need to integrate the <u>speed</u> of the particle, i.e. the absolute value of <em>v(t)</em>. Fortunately, for <em>t</em> ≥ 0, we have <em>v(t)</em> ≥ 0 and |<em>v(t)</em> | = <em>v(t)</em>, so speed is governed by the same function. Taking the starting point to be the origin, after 8 seconds the particle travels a distance of

∫₀⁸ <em>v(u)</em> d<em>u</em> = ∫₀⁸ (2/3 <em>u</em> ³ + 2<em>u</em> ²) d<em>u</em> = [1/6 <em>u</em> ⁴ + 2/3 <em>u</em> ³]₀⁸ = 1024

7 0
3 years ago
Solve for g.<br>-6g – 5 + 5 = 2 – 8g
sergey [27]

Answer:

8.875

Step-by-step explanation:

The +5 and -5 cancel, so you are left with -69=2-8g. Subtract two on both sides to get -71=-8g then divide both side by -8 to get g=8.875.

6 0
2 years ago
Read 2 more answers
In 20X1, Ginzel Corporation agreed to provide a client with 20 detailed marketing analyses of its client's key products for a to
elixir [45]

Answer:

  1. $38,500
  2. $1,400

Step-by-step explanation:

1. According to the Accrual Principle of Accounting, revenue should only recognized when the goods or services for which it was paid for have been delivered. In other words, revenue should only be recognized when earned.

As of December 1, 20X1, Ginzel had only completed 7 of the 20 reports so the revenue recognized should be for the completed reports alone.

Total revenue for 20 reports = $110,000

Revenue for 7 reports = 7/ 20 * 110,000

= $38,500

2. The Accrual principle also applies to expenses and states that expenses should only be accounted for when incurred. As the $4,000 relates to all the reports, it should be apportioned evenly.

The costs of extraction and conversion of data for the year should therefore be;

= 7/20 * 4,000

= $1,400

7 0
2 years ago
PLEASE HELP ME PLEASE HELP ME PLEASE ITS URGENT ANS PLS A GOOD ANSWER AND I DONT KNOW IF THE ONE I PICKED IS RIGHT
Ede4ka [16]

Answer:

The one you picked is right! Good job!

7 0
2 years ago
A small container is shaped like this hexagonal prism. The prism has a base area of 7.85 cm².
Aliun [14]

Answer:

31.4

Step-by-step explanation:

I reaally hope this helps you

4 0
2 years ago
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