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3 years ago

8

For the geometric series 4 + 20 + 100 + 500 what is the value of n?

1 answer:

ira [324]3 years ago

3 0

Answer:

(n×5)

Step-by-step explanation:

Divide the second term by the first to find the ratio.

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Factoring by grouping<br><br> x^2 + 4y + 2x + 2xy<br> pls explain with work too!!!

Gennadij [26K]

${x}^{2} + 4y + 2x + 2xy$

We can factorise this expression by grouping. First let us arrange it in this way

$= {x}^{2} + 2xy + 2x + 4y$

Let us bracket them like this:

$= ( {x}^{2} + 2xy) + (2x+ 4y)$

In the first bracket portion, take x as common and in the second expression, take 2 as common.

$= x(x + 2y) + 2(x + 2y) \\ = (x + 2)(x + 2y)$

<u>Answer</u><u>:</u>

$(x + 2)(x + 2y)$

Hope you could understand.

If you have any query, feel free to ask.

7 0

2 years ago

Read 2 more answers

How can you use unit rates in multiplication to solve for missing measures and equivalent ratio problems?

vodka [1.7K]

By viewing equivalent ratios and rates as deriving from, and extending, pairs of rows (or columns) in the multiplication table and by analyzing simple drawings that indicate the relative size of quantities.

4 0

3 years ago

A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f

kvasek [131]

Answer:

$\frac{dr}{dt}=0.11062ft/sec$

Step-by-step explanation:

From the question we are told that:

Radius $r=5ft$

Height $H=15ft$

Rate $R=15ft/3sec =5ft/s$

Surface Radius $R_{surf}=2.2ft$

Generally the equation for Volume is mathematically given by

$V=\frac{1}{3}\pi*r^2h$

Since radius to height ratio gives

$\frac{r}{h}=\frac{5}{15}$

$\frac{r}{h}=\frac{1}{3}$

$h=3r$

Therefore

$V=\frac{1}{3}\pi*r^2(3r)$

$V=\pi r^3$

Generally the equation for Change of Volume is mathematically given by

$\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)$

$\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}$

$\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}$

$\frac{dr}{dt}=\frac{5}{45.62}$

$\frac{dr}{dt}=0.11062ft/sec$

3 0

3 years ago

Brainliest ,easy question

insens350 [35]

Answer:

Scale factor is 2/5 or 0.4

Step-by-step explanation:

Divide radius of smaller circle (2) by radius of large circle (5)

4 0

2 years ago

If y varies directly as x, and y = 25 when x = 5, find y when x = 25.

zimovet [89]

A.125
Because to get from 5 to 25 you need to multiply by 5 so 25 times five equals 125

6 0

3 years ago