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tekilochka [14]
3 years ago
8

What is the ninth term in the binomial expansion of (x – 2y)13? 329,472x5y8 –329,472x5y8 –41,184x8y5 41,184x8y5

Mathematics
1 answer:
scZoUnD [109]3 years ago
4 0
Hello,
Please, see the detailed solution in the attached file.
Thanks.

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The maximum grain for corn is achieved by planting at a density of 40,000 plants per acre. A farmer wants to maximize the yield
Bumek [7]

Answer:

514,400 plants.

Step-by-step Explanation:

From the attached diagram given below which shows the coordinate grid, we can say the shape of the farm is that of a trapezium.

Number of plants to be planted by the farmer at 40,000 plants per acre = area of land in acres * 40,000.

Let's find the area of the land(trapezium):

Area of trapezium = ½(a+b)*h

From the coordinate grid, from point E to H on the y-axis, we have 900 units = 900 ft (Given that 1 unit = 1 foot).

Also, from F to G, we have 500 units = 500ft; and the height of the trapezium is represented by the number of units the trapezium covers on the x-axis = 800units = 800ft.

a = 900ft, b = 500ft, c= 800ft

==> Area of Land/trapezium = ½(a+b)*h

= ½(900+500)*800

= ½(1400)*800

= 700*800 = 560,000ft²

Given that 1acre = 43,560ft²

x acre = 560,000ft²

x = 560,000*1 /43,560

x = 12.86 acres

Therefore, number of plants to be planted = 12.86 acres * 40,000 plants = 514,400 plants.

4 0
3 years ago
Claire's music playlist contains songs she bought and songs her mother bought. The ratio of her songs to her mother's songs is 3
Vsevolod [243]

Answer:

B.

Step-by-step explanation:

The ratio of Claire's songs to her mother's songs = 3 : 2

A.

3 : 2 = 3/2

9 : 6 = 9/6 = 3/2

12 : 10 = 12/10 = 6/5

B.

3 : 2 = 3/2

6 : 4 = 6/4 = 3/2

15 : 10 = 15/10 = 3/2

C.

3 : 2 = 3/2

4 : 3 = 4/3

5 : 4 = 5/4

D.

3 : 2 = 3/2

4 : 6 = 4/6 = 2/3

20 : 30 = 20/30 = 2/3

The table which shows the correct ratio and two equivalent ratios is B

7 0
3 years ago
The surface of a right cylinder is 324 pi cm^2. If the radius and height are equal, find the length of the diameter
DanielleElmas [232]

Answer:

The length of the diameter is 18 cm

Step-by-step explanation:

In this question, we are asked to calculate the diameter of a right cylinder, given that the radius and the height are equal and given the value of the surface area.

Mathematically, the surface area of a cylinder can be represented by the equation;

A = 2 π r( r + h)

since r = h, we can say h = r

Thus, the equation becomes;

A = 2 π r( r + r)

A = 2 π r(2r)

A = 4 π r^2

From the question, we can see that the value of A = 324 π

substituting this, we have;

324 π = 4 π r^2

4r^2 = 324

r^2 = 324/4

r^2 = 81

r = root of 81

r = 9 cm

The value of the diameter is two times the radius

Hence D = 2r = 2 * 9 = 18 cm

8 0
3 years ago
Help this is clever 8.4 I need this by 7
alexandr1967 [171]

Answer:

Just do 8.4 times 7

Step-by-step explanation:

8.4 times 7 = 58.8

3 0
3 years ago
What is <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%5B753743743547346x%5E%7B4346x%5E%7B434643%7Dx_%7B532523%7D%5D%7B6423%7D" id
Nataly_w [17]

Answer:

uhh....

Step-by-step explanation:

thats a bit something

6 0
3 years ago
Read 2 more answers
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