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3 years ago

Determine whether the following sequence is arithmetic, geometric, or neither.

Mathematics

2 answers:

MAXImum [283]3 years ago

5 0

Answer:

Geometric

Step-by-step explanation:

It multiplies by two each time

ella [17]3 years ago

4 0

<h3>Answer: Geometric</h3>

===============================================

Explanation:

To go from term to term, we are multiplying by 2

-7 * 2 = -14

-14 * 2 = -28

-28 * 2 = -56

This means the common ratio is 2 and this sequence is geometric.

---------

Alternatively, you can divide each term by its prior term

-56/(-28) = 2

-28/(-14) = 2

-14/(-7) = 2

Each time we get the same result showing the common ratio is 2.

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To find the product of (−2√20k)(5√8k3), first write using a single radical. Which expression is equivalent to the given product?

ad-work [718]

Answer:

Assuming the variable is included under the radical,

-40k²√(10)

Step-by-step explanation:

$(-2\sqrt{20k})(5\sqrt{8k^3})$

First we will simplify the first factor,

$-2\sqrt{20k}$

We will write 20 as a product of factors:

$-2\sqrt{4*5k}$

We know the square root of 2 is 2, so we pull a 2 out:

$-2(2)\sqrt{5k}\\\\=-4\sqrt{5k}$

Now we will simplify the second factor,

$5\sqrt{8k^3}$

We will rewrite 8 as a product of factors, as well as the variable:

$5\sqrt{2*4*k^2*k}$

The square root of 2 is 2, so we pull a 2 out. Additionally, the square root of k² is k, so we pull that out:

$5(2)(k)\sqrt{2k}\\\\=10k\sqrt{2k}$

This gives us the product

$(-4\sqrt{5k})(10k\sqrt{2k})$

Multiplying the coefficients, we have

$-4(10k)(\sqrt{5k})(\sqrt{2k})\\\\=-40k(\sqrt{5k})(\sqrt{2k})$

Multiplying the two radicals, we have

$-40k\sqrt{5k*2k}\\\\-40k\sqrt{10k^2}$

The square root of k² is k, so we pull a k out, leaving

$-40k(k)\sqrt{10}\\\\=-40k^2\sqrt{10}$

8 0

4 years ago

Read 2 more answers

Stephen kicked a ball inside. The equation that represents the height h in feet of the ball after being kicked and elapsed amoun

kodGreya [7K]

Answer:

The maximum height of the ball is: 14.0625ft

Step-by-step explanation:

The missing information is:

$h(t) = 30t - 16t^2$

Required

The maximum height the ball attained

First, we calculate the time to reach the maximum height.

For a function: $h(t) = at^2 + bt + c$

The maximum is: $t = \frac{-b}{2a}$

So, the maximum of $h(t) = 30t - 16t^2$ is:

$t = \frac{-b}{2a}$

Where

$a = -16; b = 30$

So:

$t = -\frac{30}{2*-16}$

$t = -\frac{30}{-32}$

$t = \frac{30}{32}$

$t = 0.9375$

The maximum height is then calculated as:

$h(t) = 30t - 16t^2$

$h(0.9375) = 30 * 0.9375- 16 * 0.9375^2$

$h(0.9375) = 28.125- 14.0625$

$h(0.9375) = 14.0625$

8 0

3 years ago

HEYPO PEEPS Mason wants to buy a present for his friend that costs $20. If Mason has $5 saved how much more will he need to save

kicyunya [14]

Answer:

He has to save at least 15 dollars more

8 0

3 years ago

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Would you measure the length of a jump rope in inches or feet explain

shutvik [7]

Feet, its in a larger scale, and jump ropes are long objects.

6 0

3 years ago

The graph below shows a proportional relationship between yyy and xxx.

Elena-2011 [213]

Answer:

$k = 40$

Step-by-step explanation:

Given

The attached graph

Required

Calculate the constant of proportionality.

Represent the required constant with k.

Such that:

$k = \dfrac{y}{x}$

Pick any two corresponding values of x and y

$(x,y) = (1,40)$

This means that:

$x = 1\ and\ y = 40$

$k = \dfrac{y}{x}$ becomes

$k = \frac{40}{1}$

$k = 40$

8 0

3 years ago

Read 2 more answers