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2 years ago

Find the next term in the sequence 5, 25, 125, 625

Mathematics

1 answer:

gogolik [260]2 years ago

5 0

the next term would be 3,125! the sequence is multiplying each number by 5.

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In quadrant 11 and if x=-3/2 what is y ?

Ratling [72]

It’s 3 bbbbbbbbbbbbbbbbbbbb

5 0

3 years ago

Find the missing dimension of each prism.

Leto [7]

Given:

Volume of the prism = 60 in³

Breadth = 2.5 in

Height = 4 in.

To find:

The length of the prism.

Solution:

We know that, volume of a prism is

$V=l\times b\times h$

where, l is length, b is breadth and h is height.

Putting V=60, b=2.5 and h=4, we get

$60=l\times 2.5\times 4$

$60=l\times 10$

Divide both sides by 10.

$\dfrac{60}{10}=l$

$6=l$

Therefore, the missing dimension of the prism is 6 in.

7 0

2 years ago

Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s

Leya [2.2K]

Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.

$h(x) = f(x) + g(x)$ $h(x) = f(x) - g(x)$

$h(x) = \frac{f(x)}{g(x)}$ $h(x) = f(g(x))$

And many more.

The approach or formula to use depends on the question.

In this case, the combined function is:

$f(x) = 75+ 10x$

The savings function is given as

$s(x) = 85$

The allowance function is given as:

$a(x) = 10(x - 1)$

The new function that combined his savings and his allowances is calculated as:

$f(x) = s(x) + a(x)$

Substitute values for s(x) and a(x)

$f(x) = 85 + 10(x - 1)$

Open bracket

$f(x) = 85 + 10x - 10$

Collect like terms

$f(x) = 85 - 10+ 10x$

$f(x) = 75+ 10x$