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2 years ago

Find the common ratio of the geometric sequence 5, -15, 45,

Mathematics

1 answer:

Lelu [443]2 years ago

8 0

Answer:

-3

Step-by-step explanation:

The common ratio of a geometric sequence is the number that each term of the sequence is multiplied by. This means that the the previous term is multiplied by the common ratio to get the current term. The common ratio can also be used to create a function that can predict future terms.

To find the common ratio of this sequence, divide a term by the previous term. For example, -15/5. This gives the answer, -3. Dividing the terms allows us to figure out what factor is being multiplied by in the sequence.

You might be interested in

Which piecewise function is shown in the graph?

mash [69]

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different linear functions. Linear functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b (1)

Where:

x - Independent variable.
y - Dependent variable.
m - Slope
b - Intercept

By direct observation and by applying (1) we have the following piecewise function:

$f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0

2 years ago

If it takes 1 3/4 m of cloth to make a dress. How many dresses can be made from 10 1/2 m of cloth?

Amanda [17]

Answer:

Step-by-step explanation:

1¾ can go into 10½ 6 times

just divide them

7 0

3 years ago

Find the work (in ft-lb) required to pump all the water out of a cylinder that has a circular base of radius 7 ft and height 200

Virty [35]

Answer:

work done is equal to 384279168 lb-ft

Step-by-step explanation:

The cylinder has a circular base of 7 ft.

The height of the cylinder is 200 ft

The weight density of water in the cylinder is 62.4 lb/ft^3

First, we find the volume of the water in the cylinder by finding the volume of this cylinder occupied by the water.

The volume of a cylinder is given as $\pi r^{2} h$

where, r is the radius,

and h is the height of the cylinder.

the volume of the cylinder = $3.142* 7^{2}*200$ = 30791.6 ft^3

Since the weight density of water is 62.4 lb/ft^3, then, the weight of the water within the cylinder will be...

weight of water = 62.4 x 30791.6 = 1921395.84 lb

We know that the whole weight of the water will have to be pumped out over the height of cylindrical container. Also, we know that the work that will be done in moving this weight of water over this height will be the product of the weight of water, and the height over which it is pumped. Therefore...

The work done in pumping the water out of the container will be

==> (weight of water) x (height of cylinder) = 1921395.84 x 200

==> work done is equal to 384279168 lb-ft

7 0

3 years ago

Parallel to y = 4x - 6 through (6,-3)

kolbaska11 [484]

Answer:

y=4x-27

Step-by-step explanation:

Parallel lines have the same slope, so lets use 4 as the slope.

Plug in the slope, and the two points into point-slope form to find the y-intercept:

y+3=4(x-6)

1) Distribute the 4 to x and -6:

y+3=4x-24

2) Subtract 3 from both sides:

y=4x-27

4 0

3 years ago

What is the value of (-35) divided by (5/7)?

larisa86 [58]

Answer:

-49

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

3 0

3 years ago