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madam [21]
2 years ago
6

What is the binomial expansion of (x+2y)^7

Mathematics
1 answer:
Sonja [21]2 years ago
3 0

Answer:

......................................................................

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What is the area, in square feet, of the trapezoid below?
PtichkaEL [24]

Answer:  " 94. 6  ft² ".
_____________________

<u>Step-by-step explanation</u>:

The formula for the area of a trapezoid:
______________________
A = (1/2) * (b1 + b2) * (perpendicular height, "h" ) ;

      in which:
______________________
 "A = area (in units of ft²) "

 "b1 = length of (base one) = 7.7 ft (from diagram) ;  

 "b2 = length of (base two—the other base) = 14.3 ft. ;
 "h = height (perpendicular) = 8.6 ft.
_______________________

To solve for the Area, "A" ; we plug in the known values:
_______________________
A = (1/2) * (b1 + b2) * (perpendicular height, "h" );

   =  (1/2) * (7.7 ft + 14.3 ft) * (8.6 ft) ;

  = (1/2) * (22 ft.) * (8.6 ft) ;

  = (11 ft.) * (8.6 ft.) ;

   = (11) * (8.6) * (ft.) * (ft.) ;

   = (11) * (8.6) * ft² ;

A  =   " 94. 6  ft² ".

_______________________
Hope this is helpful to you!
  Best wishes!
________________________

8 0
2 years ago
How to solve 16 * 12.5
Mariana [72]

Answer: 200

Step-by-step explanation:

First I would do it like this.

12.5

X. 16

—————-

6 times 5 is 0, carry the 3, 6 times 2 is 12 and add 3 from the other which is 15, put the 1 from the 15 to the one next to the 12. 6 times 1 is 6 plus 1 is 7 which now you have 750. 5 times 1 is 5, 2 times 1 is 2, 1 times 1 is 1. It should look like this now.

12.5

X 16

—————

750

+ 1250

——————-

Which is 8750 but wait. Where is the decimal? Well, there is only one number behind the decimal so it is 875.0 or 875.

5 0
3 years ago
Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of tim
DaniilM [7]

Answer:

t = 0.875

Step-by-step explanation:

Given

<u>Brand A</u>            <u>Brand B</u>

n_ 1= 12               n_2 = 12

\bar x_1 = 21.8            \bar x_2 = 18.9

\sigma_1 = 8.7              \sigma_2 = 7.5

Required

Determine the test statistic (t)

This is calculated as:

t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} +  \frac{1}{n_2}}}

Calculate s using:

s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}

The equation becomes:

s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}

s = \sqrt{\frac{1451.34}{22}}

s = \sqrt{65.97}

s = 8.12

So:

t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} +  \frac{1}{n_2}}}

t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}

t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}

t = \frac{21.8 - 18.9}{8.12 * 0.408}}

t = \frac{2.9}{3.31296}}

t = 0.875

3 0
3 years ago
What is the area to this shape ?
Dafna1 [17]

Answer:

249.42 units²

Step-by-step explanation:

Given only the apothem of an n-sided regular polygon, the area can be computed as ...

... A = n·a²·tan(180°/n)

For n=3 and a=4√3, this is ...

... A = 3·(4√3)²·tan(60°)

... A = 3·48·√3 = 144√3 . . . . units²

... A ≈ 249.42 units²

4 0
3 years ago
A student draws a quadrilateral that has two sides measuring 5 cm and two sides measuring 8 cm, and the sides opposite to each o
ch4aika [34]

Answer:

B

Step-by-step explanation:

two sides are longer than the other two, D could also be one of the choices but rectangles have two parallel lines and have shorter sides at the sides

3 0
3 years ago
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