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mezya [45]
3 years ago
8

Expand the binomial (2x+5)^5

Mathematics
1 answer:
Whitepunk [10]3 years ago
3 0
That would simplify to 32x^5+400x^4+200x^3+5000x^2+6250x+3125
You would do that because you have to write it repeatedly as (2x+5)(2x+5) and so on.
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Can someone please help me I really need help help me thank you
harkovskaia [24]

Answer:

<h2><em><u>A to C = 25 </u></em></h2><h2><em><u>A to B = 13 </u></em></h2><h2><em><u>C to B = 37 </u></em></h2><h2><em><u></u></em></h2>

Step-by-Step Explanation:

<em><u>Perimeter</u></em> = 75

<em><u>Sides:</u></em>

2x + 3

3x + 4

2x - 9

<h2 /><h2><em><u>1. Equal the sides added together to the perimeter</u></em></h2>

75 = 2x + 3 + 3x + 4 + 2x - 9

<h2><em><u>2. Simplify Like terms</u></em></h2>

2x + 3 + 3x + 4 + 2x - 9  = 7x - 2

<h2><em><u>3. Place the equation back together</u></em></h2>

75 = 7x - 2

<h2><em><u>4. Isolate the variables and numbers</u></em></h2>

75 = 7x - 2

+2        +2

77 = 7x

<h2><em><u>5. Simplify the equation</u></em></h2>

77 = 7x

/7     /7

<h2><em><u>11 = x </u></em></h2>

<h2><em><u>6. Substitute the value of x into the side lengths.</u></em></h2>

2x + 3 = 2(11) + 3 = 22 + 3 = <em><u>25</u></em>

3x + 4 = 3(11) + 4 = 33 + 4 = <em><u>37</u></em>

2x - 9 = 2(11) - 9 = 22 - 9 = <em><u>13</u></em>

5 0
3 years ago
Look at the picture
gladu [14]

Answer:

C)

Step-by-step explanation:

- π can be added to π to get a rational number

π + (-π) = 0

0 is a rational number

6 0
3 years ago
Rectangle with a width of 36 centimeters and a perimeter of 80 centimeters
olga2289 [7]

Answer: Height = 4 centimeters

Area = 144 cm^2

Step-by-step explanation:

So we know that on a rectangle opposite sides are equal in distance.

If one side of the rectangle is 36 centimeters then that means the opposite side is also 36 centimeters.

36 + 36 = 72 centimeters

The perimeter is the sum of all sides, so two out of the four of our sides total to 72 centimeters. So the remaining length of both sides is as follows:

80 - 72 = 8

The sum of the remaining sides is 8 so divide it between the two and that is the height.

8/2 = 4

I'm not sure what the question wants so here is pretty much everything:

Height: 4 cm

Area: 144 cm^2

7 0
3 years ago
4. Break-Even Analysis
DiKsa [7]

Answer:

x = 1178 games

Step-by-step explanation:

Let the number of games = x

Let the total cost = Tc

Let the total revenue = Tr

Given the following data;

Investment = $10,000

Cost of each game = $1.50

Selling cost = $9.99

Total cost, Tc = (Cost of each game * Number of games) + Investment

Tc = 1.50x + 10000

Total revenue, Tr = Selling cost * Number of games

Tr = 9.99x

Breakeven point is when total cost is equal to total revenue;

Tc = Tr

1.50x + 10000 = 9.99x

9.99x - 1.50x = 10000

8.49x = 10000

x = \frac {10000}{8.49}

x = 1177.86 ≈ 1178 games.

<em>Therefore, the number of games that must be sold before the business breaks even is 1178 games. </em>

4 0
3 years ago
The measure of an angle is five times the measure of its complementary angle. What is the measure of each angle?
GalinKa [24]

Answer:

150 degrees

Step-by-step explanation:

  1. Let the supplement = x  
  2. So the angle you want is 5x  
  3. Then [x + 5x] = 180 because they are supplementary.  
  4. Solving. 6x = 180. Then x = 30.  
  5. So the angle is 5x = 5×30 = 150 degrees
3 0
2 years ago
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