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Montano1993 [528]
1 year ago
10

Which example illustrates the associative property of addition for polynomials? [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = (2x2 + 5x) + [

(4x2 – 4x) + 5x3] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(4x2 – 4x) + (2x2 + 5x)] + 5x3 (2x2 + 5x) + [(4x2 – 4x) + 5x3] = (2x2 + 5x) + [5x3 + (4x2 – 4x)] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(5x + 2x2) + (–4x + 4x2)] + 5x3?
Mathematics
2 answers:
sertanlavr [38]1 year ago
4 0

Answer:

[(2x2 + 5x) + (4x2 – 4x)] + 5x3 =

(2x2 + 5x) + [(4x2 – 4x) + 5x3]

Step-by-step explanation:

arlik [135]1 year ago
3 0

Answer:

[(2x^2 + 5x) + (4x^2 – 4x)] + 5x^3 = (2x^2 + 5x) + [(4x^2 – 4x) + 5x^3]

Step-by-step explanation:

The associative property of addition states: (A +B) + C = A + (B + C).  That means, it doesn't matter which addition you make first, the final result remains the same. In this problem, A = (2x^2 + 5x), B = (4x^2 – 4x) and C = 5x^3. So, adding A to B and its result to C is the same as adding B to C and its result to A.

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Katie has been given a project to make a model car that is 45 centimeters long. The teacher has told her that variations in leng
V125BC [204]

Answer:

The absolute error = 2 centimeters.

The desirable length = 45 cm

The minimum length = 43 cm.

The maximum length = 47 cm.

Step-by-step explanation:

Katie has been given a project to make a model car that is 45 centimeters long. The teacher has told her that variations in the length of up to 2  centimeters are acceptable.

Therefore, the absolute error = 2 centimeters.

The desirable length = 45 cm

The minimum length = (45 - 2) = 43 cm.

The maximum length = (45 + 2) = 47 cm. (Answer)

7 0
2 years ago
Each batch of Mrs. Crawley’s Toffee makes 14 pieces of toffee. If sandy needs 8 dozen pieces of toffee, how many batches does sh
Phantasy [73]
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6 0
2 years ago
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a crane cable can support a maximum load of 15,000 kg. if a bucket has a mass of 2,000 kg and gravel has a mass of 1,500 kg for
Brut [27]
2000 + 1500g ≤ 15000
1500g ≤ 15000 - 2000
1500g ≤ 13000
g ≤ 13000/1500
g ≤ 8 2/3

Therefore, the crane can safely lift a maximum of 8 2/3 cubic meters of gravel.
7 0
2 years ago
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Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cum
anygoal [31]

Answer and Step-by-step explanation:

The computation of dividends per share on each class of stock for each of the four years is shown below:-

Particulars                1st year     2nd-year     3rd-year     4th year

Preferred dividend

paid a                         $34,000   $38,000    $36,000    $36,000

Number of preferred

stock b                       60,000     60,000       60,000       60,000

Dividend per share

(a ÷ b)                         $0.57       $0.63          $0.60             $0.60

Dividend paid to common

stockholders c               $0             $38,000    $44,000     $64,000

Number of common stock

shares d                       410,000     410,000     410,000     410,000

Dividend per share

on common stock        $0             $0.093        $0.11          $0.16

(c ÷ d)

Working note:

Preferred dividend = Number of preferred stock shares × Par value per share × Percentage of dividend

= 60,000 × $20 × 3%

= $36,000

Preferred stock

For 1st year

= $34,000

For 2nd-year

Dividend in year 2+ Dividend balance in year 1

= $36,000 + ($36,000 - $34,000)

= $38,000

For 3rd-year

= $36,000

For 4th year

= $36,000

Common stock dividend

Particulars                      1 year        2 year       3 year       4 year

Total dividend paid       $34,000  $76,000   $80,000     $100,000

Less:

Preferred stock

dividend                      $34,000      $38,000  $36,000     $36,000

Dividend paid to common

stockholders                 $0             $38,000    $44,000     $64,000

8 0
2 years ago
Your model locomotive is 16 inches long. It is an exact model of a locomotive that is 40 feet long. A window on the locomotive i
Ierofanga [76]
1 feet is 12 inches so 40 feets is 480 inches
Real locomotive is 480/16=30 times wider then the model
And then a window on the real locomotive is 30 times wider then the model.
7 0
2 years ago
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