All categories

3 years ago

Find the sum of the geometric sequence -3,15,-75,375,... when there are 7 terms and select the correct answer below.

Mathematics

1 answer:

vivado [14]3 years ago

8 0

Answer:

-39,063

Step-by-step explanation:

In this geometric, sequence, you are multiplying by -5. So, we can continue the sequence by mulitplying 375(your last value) by -5 and so on, until we have 7 total terms.

Now we add the terms together:

-3+15+-75+375+-1875+9375+-46875

=-3+15-75+375-1875+9375-46875

=-39063

Hope this helps :)

You might be interested in

Note: Figure not drawn to scale

Alborosie

Answer:

B. 99 square units

Step-by-step explanation:

The <em>parallelogram</em> is a quadrilateral where the opposite sides are parallel to each other. This geometric figure constitutes, therefore, a polygon that consists of 4 sides where there are two cases of parallel sides.

To calculate the area of a parallelogram, you must know the length of the height relative to one of its sides.

Let the base be the side x and the height (h) relative to the base. The area of the parallelogram is the product of the base and the height.

$a=(x)(h)$ Where:

a is the area in square units.

x is the base in units.

h is the height in units.

Solving:

With x = 11 units and h = 9 units

$a=(11units)(9units)\\a=99units^{2}$

6 0

3 years ago

Amy has 1/3 hour to do chores

raketka [301]

Okay...Can I have the rest of the question?

3 0

3 years ago

Please help me! Thank you!

love history [14]

Answer:

Graph A?

Step-by-step explanation:

Just trying to help, but I don't really know. I would say A because its a HUGE jump, but B is a steady incline, but assuming that A has the little incline in the beginning, and then the jump, then back to the incline, probably A would be more profitable.

7 0

3 years ago

Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 at

Amiraneli [1.4K]

Answer:

The cubic function is f(x) = (27/32)·x - 3/32·x³ - -9/32·x² - 9/32

Step-by-step explanation:

The given function is f(x) = a·x³ + b·x² + c·x + d

By differentiation, we have;

3·a·x² + 2·b·x + c = 0

3·a·(-3)² + 2·b·(-3) + c = 0

3·a·9 - 6·b + c = 0

27·a - 6·b + c = 0

3·a·(1)² + 2·b·(1) + c = 0

3·a + 2·b + c = 0

a·(-3)³ + b·(-3)² + c·(-3) + d = -3

-27·a + 9·b - 3·c + d = -3...(1)

a + b + c + d = 0...(2)

Subtracting equation (1) from equation (2) gives;

28·a - 8·b + 4·c = 3

Therefore, we have;

27·a - 6·b + c = 0

3·a + 2·b + c = 0

28·a - 8·b + 4·c = 0

Solving the system of equations using an Wolfram Alpha gives;

a = -3/32, b = -9/32, c = 27/32 from which we have;

a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0

d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32

The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).

4 0

2 years ago

The red arrow is pointing to what part of the xy-plane?

Brut [27]

The answer is y axis

6 0

2 years ago