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Harman [31]
3 years ago
11

Name the property of real numbers illustrated by the following equation.

Mathematics
1 answer:
wel3 years ago
5 0

Answer:

Distributive property

Step-by-step explanation:

the factor "3" which appears outside the parenthesis multiplies the two terms inside it. You perform the multiplication term by term. It is also referred to as the factor "3" distributes among the terms inside the parenthesis, multiplying each.

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Does this converge or diverge? Which of the follow test will be used to figure out the equation?
PSYCHO15rus [73]

From the listed choices, you can prove the series diverges using either the integral or <em>p</em>-series test.

  • Integral test:

We have

\displaystyle\sum_{n=1}^\infty\ge\int_1^\infty\frac{\mathrm dx}{\sqrt x}=\lim_{x\to\infty}2\sqrt x-2

which diverges to infinity, so the series is divergent.

  • <em>p</em>-series test:

The series

\displaystyle\sum_{n=1}^\infty\frac1{n^p}

converges only for p>1. In the given sum, we have p=\frac12, so the series is divergent.

7 0
3 years ago
Find the 13th term of the arithmetic sequence -3x+7, -5x+3, -7x-1, ...
oksano4ka [1.4K]

Answer:

a₁₃ = - 27x - 41

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3x + 7

d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)

                 = - 5x + 3 + 3x - 7

                 = - 2x - 4

Then

a₁₃ = - 3x + 7 + 12(- 2x - 4)

     = - 3x + 7 - 24x - 48

     = - 27x - 41

3 0
3 years ago
A mirror with a reflecting surface that caves inward is said to be
Marysya12 [62]
C. CONCAVE

A mirror with a reflecting surface that caves inward is said to be CONCAVE.

Clue: caves inward. )(

Convex has an outline of surface that cave outward. It is like the outside of the circle or sphere. ()
5 0
3 years ago
Write each fraction in simplest form if the fraction is in simplest form write simplest form from 1-12
erica [24]
15. would be 1/2 because if you simplify 16/32 to 8/16 (dividing by 2 each time), then to 4/8, then 2/4, and lastly 1/2

you really dont need to do all of that because 16/32 is already 1/2 (16 is half of
32) 

16. the answer would be 7/12 because if you divide 21/36 both by 3 you get 7/12 and you cant go any more simpler.
8 0
3 years ago
0.38x &lt; 25 -10.81 - 10
marusya05 [52]

Answer:

Inequality Form :

x < 11.02631578

Interval Notation :

( − ∞, 11.02631578)

4 0
3 years ago
Read 2 more answers
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