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irga5000 [103]
3 years ago
12

Find the 10th term of the geometric sequence show below

Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

-19,6830x^26

Step-by-step explanation:

The nth term of a geometric sequence is expressed as;

Tn -= ar^n-1

a is the first term

is the number of terms

r is the common ratio

Given

a = -10x^8

r = 30x^10/-10x^8 = -3x^2

n = 10

Substitute

a10 =  (-10x^8)(-3x^2)^10-1

a10 =  (-10x^8)(-3x^2)^9

a10 =  -10x^8)(19,683)x^18

a10 = -19,6830x^26

Hence the tenth term is -19,6830x^26

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Multiply 2 1/4, 1 3/5 and 2 1/3 together! It would be easier to turn these mixed fractions into improper fractions.
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Rewrite the function by completing the square. 4x^2-4x+1=0
andrey2020 [161]

Do in <u>completing the square method.</u>

{4x}^{2}  - 4x + 1 = 0 \\ 4x^{2}-4x=-1  \\ \frac{4x^{2}-4x}{4}=\frac{-1}{4}  \\ x^{2}+\frac{-4}{4}x=\frac{-1}{4}  \\ x^{2}-x=\frac{-1}{4}  \\ x^{2}-x+\left(-\frac{1}{2}\right)^{2}=-\frac{1}{4}+\left(-\frac{1}{2}\right)^{2}  \\ x^{2}-x+\frac{1}{4}=\frac{-1+1}{4}  \\ x^{2}-x+\frac{1}{4}=0  \\ \left(x-\frac{1}{2}\right)^{2}=0  \\ \sqrt{\left(x-\frac{1}{2}\right)^{2}}=\sqrt{0}

Now simplify.

x-\frac{1}{2}=0 \\  x-\frac{1}{2}=0  \\  \\  \rightarrow \: x=\frac{1}{2}  \\  \rightarrow \: x=\frac{1}{2}

So, answer is..

\boxed{x=\frac{1}{2} }

Now <u>rewrite</u> the equation.

4 x ^ { 2 } - 4 x + 1 = 0 \\  \boxed{4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0  }

<u>Verification :-</u>

4 x ^ { 2 } - 4 x + 1 = 0 \\ 4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0  \\ 1-4\times \left(\frac{1}{2}\right)+1=0  \\ 1-\frac{4}{2}+1=0  \\ 1-2+1=0  \\ -1+1=0  \\ \underline{ 0 = 0} \:  \\  \dashrightarrow \text{true}

3 0
3 years ago
Celine ate brunch at a restaurant. The bill came to $72.80. If she left a 15% tip, what was the total cost of her brunch?
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Answer:

<em>$83.69</em>

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Given the following

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Percentage tip = 15%

Tip paid = 15% of $72.60

Tip paid = 0.15 * 72.60

Tip paid = $10.89

Total cost of brunch =  $72.80 + $10.89

Total cost of brunch = $83.69

<em>Hence the total cost of her brunch is $83.69</em>

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Answer:

Step-by-step explanation:

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find distance first:d=√(x2-x1)^2+(y^2-y1^2)

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Please this due today i would love if you can help me
Sonja [21]

Answer:

I don't know if this what you want but I will explain how I think the answer is.

Step-by-step explanation:

a) You're at positive 5, and the integer explains that you're adding negative three spaces, which just means you go back three spaces. Your spot on the number line should be 2.

b) It says to go 3 spaces back from 5. Your spot on the number line will be two.

c) You're at negative 3, and you go another 5 spaces back. Your spot on the number line will be -8.

d) You're on -3 on the number line. You remove positive 5, so your new spot on the line is -8.

e) You're at -5. You're removing positive 3. Your going back three spaces. So you would be at -8.

7 0
4 years ago
Read 2 more answers
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