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Advocard [28]
2 years ago
13

In 2010, the number of participants in a checkers tournament was 2.6 × 104 people. In 2013, the number of participants in a chec

kers tournament was 5.2 × 106 people. By what factor did the number of participants increase from 2010 to 2013?
A
7.8 × 1013

B
2 × 1013

C
7.8 × 102

D
2 × 102
Mathematics
1 answer:
bekas [8.4K]2 years ago
6 0

Lets substarct

\\ \sf\longmapsto \dfrac{5.2\times 10^6}{2.6\times 10^4}

\\ \sf\longmapsto 2\times 10^{6-4}

\\ \sf\longmapsto 2\times 10^2

  • Option d is correct
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The question is below:
SSSSS [86.1K]

Answer:

Triangles ABE and CDE are congruent by AAS.

Step-by-step explanation:

AB ≅ DC   (Opposite sides of a parallelogram are congruent.

m < AEB = m < DEC     (Vertical angles).

m < ABE = m < EDC     ( Alternate Interior angles).

So triangles  ABE and CDE are congruent by AAS.

5 0
3 years ago
Given P(x) = 2x3 - 11x2 + 18x - 15 is divided by x – 3. Use synthetic division to find the quotient and the remainder.
katrin [286]
You can find the remainder right away by simply plugging in x=3. The polynomial remainder theorem guarantees that the value of p(3) is the remainder upon dividing p(x) by x-3, but I digress...

Synthetic division yields

3   |   2   -11   18   -15
.    |           6   -15     9
- - - - - - - - - - - - - - - - -
.    |   2     -5     3     -6

which translates to

\dfrac{2x^3-11x^2+18x-15}{x-3}=2x^2-5x+3-\dfrac6{x-3}

(and note that p(3)=2(3)^3-11(3)^2+18(3)-15=-6, as expected)
5 0
3 years ago
A cross-country racer travels 20 kilometers before she realizes that she has to cover 75 kilometers in order to qualify for the
Katarina [22]
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5 0
3 years ago
What in slope-intercept form, can go through the line ( a, 2a) and (-5a, 6a)
Wittaler [7]

Answer:

  • y = -2/3x + 8/3a

Step-by-step explanation:

<u>Given points</u>

  • (a, 2a) and (-5a, 6a)

<u>Slope-intercept form</u>

  • y = mx + b

<u>Slope of the line is</u>

  • m = (6a - 2a)/( -5a - a) = 4a/(-6a) = - 2/3

<u>The y-intercept is:</u>

  • 2a = -2/3*a + b
  • b = 2a + 2/3a
  • b= 8/3a

<u>So the line is:</u>

  • y = -2/3x + 8/3a

7 0
3 years ago
Read 2 more answers
Suppose m&lt;3 = 105. find m&lt;6
tatyana61 [14]
If you mean the m^3=105, then m^6 will be ( \sqrt[3]{105}) ^6 which is 105^2 which is 11025
7 0
3 years ago
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