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3 years ago

What is the next term in the geometric sequence? 1,4,-16,64

Mathematics

1 answer:

Citrus2011 [14]3 years ago

6 0

Answer:

256

Step-by-step explanation:

1,4,16,64,256

As 4 is being multiplied in each case.

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A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6

Neko [114]

Answer:

The area after 6 years is $1519.49km^2$

Step-by-step explanation:

Given

$a = 2100$ --- Initial Value

$r = 5.25\%$ --- Rate

Required

Determine the area after 6 years

Because the area reduces,, the following formula will be used to solve the question.

$y = a*(1 - r)^t$

Here

$t = 6$

So, we have:

$y = 2100*(1 - 5.25\%)^6$

Convert percentage to decimal

$y = 2100*(1 - 0.0525)^6$

$y = 2100*(0.9475)^6$

$y = 1519.47866516$

$y = 1519.49$ -- approximated

The area after 6 years is $1519.49km^2$

4 0

2 years ago

H(x)= (x^2 -36)/x +6 explain why the following function is not continuous at x=-6

sergeinik [125]

You can solve this problem through factoring.

First, you have the equation,

$h(x) = \frac{x^2-36}{x-6}$

Then, you can factor the numerator.

$h(x) = \frac{(x+6)(x-6)}{x-6}$

You can cancel out the x-6 in both the numerator and the denominator because they would equal to just 1.

You are left with $h(x) = x+6$

The function is removable noncontinuous at x=6 because if you plug in 6 in x-6, your denominator would be undefined.

8 0

3 years ago

rectangular solid that is 6-cm-by-6 cm-by-6 cm is painted on all six faces. then the solid is cut into cubes that measure 2 cm o

Nitella [24]

If you check the picture below

the rectangular solid is a 6x6x6, so all sides are equal thus is a cube

is painted on all faces, so the only part that's painted is the faces, ok
then you split it like in the picture, you have all 6 faces painted there,

now, let's say each of those 6 faces are cut in 2cm

how many of those 2cm pieces will each have? so get that amount for each and sum them up, that's how many of the cubes have one face painted

only the cubes that are part of the face, which was painted, are the ones that have a painted face themselves

keep in mind that each face is a 6x6 rectangle
notice the 2nd picture below

6 0

3 years ago

Read 2 more answers

PLEASE ANSWER I REALLY NEED HELP ON THIS QUESTION!

SCORPION-xisa [38]

The area of triangle BXA is 15*sqrt(2).

8 0

3 years ago

Simplify 2(x + y) + 3(x + y). 2xy + 3xy 5xy 5x + 5y

Flauer [41]

2(x + y) + 3(x + y)

first distribute:
(multiply 2 into everything in the first parenthesis, and 3 into everything in the second)
2x + 2y + 3x + 3y
Second simplify (add all like terms (adding in this case) )
(2x + 3x) + (2y +3y)
5x + 5y

your answer is: 5x + 5y

hope this helps

6 0

3 years ago

Read 2 more answers