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vazorg [7]
3 years ago
14

Given the geometric sequence with the first three terms shown as (2,10,50..) answer the following questions:

Mathematics
1 answer:
natta225 [31]3 years ago
8 0
The recursive definition of the sequence is :

\bf a_n = 2(5)^{n-1}


The 10th term is:

a_{10} = 2(5)^{10-1}

a_{10} = 2(5)^9

\bf a_{10} = 3906250

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Solve each equation using the quadratic formula. Find the exact solution, then approximate the solution to the nearest hundredth
Anika [276]

Answer:

x_1=\frac{5+\sqrt{33}}{4}≈2.69

x_2=\frac{5-\sqrt{33}}{4}≈-0.19



Step-by-step explanation:

 To solve this problem you  must apply the proccedure shown below:

1. You have that the quadratic formula is:

x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}

2. To solve the quadratic equation you must substitute the values. So, you have that:

Rewrite the equation:

2x^{2}-5x-1=0

a=2\\b=-5\\c=-1

Then you have:

 x=\frac{-(-5)+/-\sqrt{(-5)^{2}-4(2)(-1)}}{2(2)}

3. Therefore, you obtain the following result:

x_1=\frac{5+\sqrt{33}}{4}≈2.69

x_2=\frac{5-\sqrt{33}}{4}≈-0.19


4 0
3 years ago
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anastassius [24]
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4 0
3 years ago
You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter
nikitadnepr [17]

Answer:

Width = 15 feet

Length = 45 feet

Step-by-step explanation:

You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?

Perimeter of a rectangle = 2L + 2W

The length is 3 times the width.

L = Length = 3W

W = Width

P = 120 ft

Hence:

120 = 2L + 2W

120 = 2(3W) + 2W

120 = 6W + 2W

120 = 8W

W = 120/8

W = 15 feet

Solving for Length

L = 3W

L = 3 × 15 feet

L = 45 feet

Therefore, the dimensions of your very own dog park is

Width = 15 feet

Length = 45 feet

3 0
3 years ago
He gets paid £6.80 per hour<br> how many hours for 9 and half hours
Akimi4 [234]

Answer: 64.60

Step-by-step explanation:

lets do 6.80x9

= 61.20

for the half an hour, divide 6.80 by 2

it would be 3.40

61.20+3.40= 64.60

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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