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3 years ago

What is the common ratio of the sequence 3, 21, 147, … ?

Mathematics

2 answers:

Musya8 [376]3 years ago

6 0

Answer:

next question is

a1 = 3; an= an-1 x 7

question after that is

a4= 1029

a5= 7203

solong [7]3 years ago

3 0

The common ratio is a constant found in geometric sequences, denoted r in the equations for geometric sequences, when any term is divided by the term preceding it. In this case the common ratio is:

147/21=21/3=7=r

So 7 is the common ratio.

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A large open meadow near your city is shrinking in size because developers have started building new homes there.

valentinak56 [21]

Answer:

$t=-10\log 0.32$

Explanation:

Equation:

$A=1,562.5\times 10^{(-0.1t)}$

This is a decaying exponential function, because the exponent is negative.

Then, the larger the value of t (number of months), the smaller A (the number of hectares).

The factor 1,562.5 is the initial number of hecares, when t = 0.

You must find the value of t when A equals 500, thus solve the equation:

$500=1,562.5\times 10^{(-0.1t)$

Divide both sides by 1,562.5

$\dfrac{500}{1,562.5}=10^{(-0.1t)}$

$0.32=10^{(-0.1t)}$

Take base-10 logarithms on both sides:

$\log 0.32=-0.1t$

$t=-\dfrac{\log 0.32}{0.1}\\\\\\t=-10\log 0.32$

Note that the logarithm of a number decimal number is negative number, thus t will be positive. When you compute that, it is about 4.9 months.

8 0

3 years ago

A developer has 71/2 acres of land to build houses on. If each house is to be built on 1/4 -acre plot, how many houses can he bu

fgiga [73]

142 houses can be built

71/2 reduces to 35.5

35.5/.25 = 142

3 0

3 years ago

Pllsszzzzzzzzzz answer urgent 1. Write a function rule for finding the amount of daily pay, p, in the following situation: A bus

babunello [35]

Answer:

1. SORRY IDK

2. B.

3. D

4. C

Step-by-step explanation:

7 0

4 years ago

Attachment image = question please answer

Svet_ta [14]

Answer:

In group A, they have at least one 90 degree angle. In Group B, they do not have any 90 degree angles.

8 0

3 years ago

Solve for x. Please help

Feliz [49]

Answer:

x = 37/45

Step-by-step explanation:

Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B

Ok, so these 2 triangles are similar, so we can set up a butterfly equation:

Side 1a would be 8x

Side 1b would be 5x +3

Side 2a would be 10x - 2

Side 2b would be 7x

----------------------------------------------------

Our equation would be

8x/(5x+3) = (10x-2)/7x

We cross multiply to get 8x(10x-2) = 7x(5x+3)

Instead of solving and getting squares, we can x on both sides and we get:

8(10x - 2) = 7(5x+3) ----> we simplify to get

80x - 16 = 35x + 21 ----> it's easy sailing from here.

45x = 37

x = 37/45

gosh i hope it's right...

4 0

3 years ago