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lesantik [10]
3 years ago
9

Evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10.

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

a1=25(0.3)^2, common ratio = 0.3

So sum of first n terms of a geometric series = a1(1-r^n)/(1-r)

So sum of frist 10 terms of the given series = 25(0.3)^2(1-0.3^10)/ (1-0.3)

So sum of n=2 to n=10 is : 25(0.3)^2(1=0.3^10)/(1-0.3) -25(0.3)^2= 0.96426673425

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Is 3+5(9+2n)equal to48+5n
Rama09 [41]
Answer: No
There is no logical way to get ‘5n’
6 0
3 years ago
Simplify the difference.
mr_godi [17]

\displaystyle\frac{n^2-10n+24}{n^2-13n+42}-\frac{9}{n-7}=\frac{(n-6)(n-4)}{(n-6)(n-7)}-\frac{9}{n-7}\\\\=\frac{n-4}{n-7}-\frac{9}{n-7}=\frac{n-4-9}{n-7}\\\\=\frac{n-13}{n-7}

The last choice is appropriate.

3 0
3 years ago
There are three apple orchards. Each orchard has a different number of trees and apples. Orchard Apple trees Total apples The #1
Elan Coil [88]

Answer:

(Choice A) A The 1 Seed

Step-by-step explanation:

The computation is shown below:

The highest rate of apple per tree is

For Seed

= 38,614 ÷ 84 = 460 approx

For Sweet and sour

= 75509 ÷ 178 = 424 approx

And, for apple valley

= 135220 ÷ 3212

= 433 approx

As it can be seen that the highest rate per of apple per tree is of seed i.e. 460 approx

hence, the correct option is choice A

3 0
3 years ago
In your BIO 111 course, you learn that human hair can vary in diameter, but one estimate of the average diameter is 50 microns o
Dafna11 [192]

Answer:

5000 particles of size 10 nanometer should be stacked

Step-by-step explanation:

Average diameter of the of the human hair = 50 micron = 50 × 10⁻⁶ m

Now,

let the number of 10 nanometer i.e 10 × 10⁻⁹ m particle be 'n'

thus,

n × 10 × 10⁻⁹ m = 50 × 10⁻⁶ m

Therefore to find the number of 10 nanometer i.e 10 × 10⁻⁹ m particle,

n = \frac{50\times10^{-6}}{10\times10^{-9}}

or

n = 5000

Hence,

5000 particles of size 10 nanometer should be stacked

4 0
4 years ago
(4x – 6°) (x + 6y)"<br> Solve for y.
12345 [234]

Answer:

Simplifying

(4x + -6) = (x + 6y)

Reorder the terms:

(-6 + 4x) = (x + 6y)

Remove parenthesis around (-6 + 4x)

-6 + 4x = (x + 6y)

Remove parenthesis around (x + 6y)

-6 + 4x = x + 6y

Solving

-6 + 4x = x + 6y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

-6 + 4x + -1x = x + -1x + 6y

Combine like terms: 4x + -1x = 3x

-6 + 3x = x + -1x + 6y

Combine like terms: x + -1x = 0

-6 + 3x = 0 + 6y

-6 + 3x = 6y

Add '6' to each side of the equation.

-6 + 6 + 3x = 6 + 6y

Combine like terms: -6 + 6 = 0

0 + 3x = 6 + 6y

3x = 6 + 6y

Divide each side by '3'.

x = 2 + 2y

Simplifying

x = 2 + 2y

4 0
4 years ago
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