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3 years ago

Find an explicit formula for the geometric sequence 3,15,75,375 a(n)=

Mathematics

1 answer:

DENIUS [597]3 years ago

8 0

Answer:

an = 3(5)^(n-1).

Step-by-step explanation:

15 / 3 = 5

75/15 = 5

375/75 = 5

So the common ratio is 5.

First term a1 =3

an = a1 r^(n-1) is the explicit formula.

so here we have:

an = 3(5)^(n-1).

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Identify the class midpoints for the given frequency distribution.

german

Answer:

Step-by-step explanation:

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3 years ago

2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diver

timofeeve [1]

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this problem, we have that:

$y = 2x^{2} - 9x - 56$

$2x^{2} - 9x - 56 = 0$

$a = 2, b = -9, c = -56$

Then

$\bigtriangleup = b^{2} - 4ac = (-9)^{2} - 4*2(-56) = 529$

$x_{1} = \frac{-(-9) + \sqrt{529}}{2*2} = 8$

$x_{2} = \frac{-(-9) - \sqrt{529}}{2*2} = -3.5$

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

7 0

3 years ago

A33 =<br> 1<br> 6<br> 8<br> Please help.

Firdavs [7]

Answer:

Need more information

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A car park has no parking spaces on the first floor. The second floor has double the amount of spaces on the first floor. The th

Artist 52 [7]

Answer:

85 parking spaces

Step-by-step explanation:

Given that :

Parking spaces on floors :

Let first floor = x

Second floor = 2x

Third floor = 2x + 3

Total parking spaces = 428

THEREFORE ;

x + 2x + 2x + 3 = 428

5x + 3 = 428

5x = 428 - 3

5x = 425

x = 425 / 5

x = 85

Hence, there are 85 parking spaces on the first floor

7 0

3 years ago

Kareem has a collect of dimes and quarters. He can tell that he has more quarters than dimes, and he knows that he has at most $

Mariulka [41]

Answer:

D<Q≤2 Or D<Q Q+D≤2

Step-by-step explanation:

I'm pretty sure this is the answer but it's been a while since I've done system of inequalities. Essentially the value and number of dimes is less than the value and number of quarters. And the value of both is less than or equal to 2 dollars

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3 years ago