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3 years ago

Please help write a rule to represent the secuence 3, -12, 48, ...

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

8 0

Answer:

multiply the value behind the other value

Step-by-step explanation:

3 x -12 = 48

-12 x 48 = -576

and so on

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Y = a( x-h)^2 + k

prohojiy [21]

Can you summarize this?

7 0

3 years ago

Suppose the half-life of a decaying radioactive isotope is 674 years. How long will it takefor the isotope to decay from 100 gra

KonstantinChe [14]

The half life formula is :

$N(t)=N_o(\frac{1}{2})^{\frac{t}{T}}$

where N(t) = remaining quantity after t years

No = Original Quantity

t = time in years

T = half life in years

From the problem, we have :

N(t) = 30 grams

No = 100 grams

T = 674

Solve for t :

$\begin{gathered} 30=100(\frac{1}{2})^{\frac{t}{674}} \\ \frac{30}{100}=(\frac{1}{2})^{\frac{t}{674}} \\ \frac{3}{10}=(\frac{1}{2})^{\frac{t}{674}} \end{gathered}$

Take ln of both sides :

$\begin{gathered} \ln (\frac{3}{10})=\ln (\frac{1}{2})^{\frac{t}{674}} \\ \ln (\frac{3}{10})=\frac{t}{674}\ln (\frac{1}{2}) \\ t=\frac{674\ln (\frac{3}{10})}{\ln (\frac{1}{2})} \\ t=1170.71 \end{gathered}$

The answer is t = 1170.71 years

5 0

2 years ago

The sum of 5 consecutive odd numbers is 505

pentagon [3]

Answer:

In a sequence of 5 numbers, the 3rd number is the middle number. So in your problem the third number is the average of the 5 numbers -- which is the sum of the numbers, divided by how many there are: 505/5 = 101.

Explanation:

8 0

3 years ago

Please help it will mean so much!! :)

kykrilka [37]

Answer:

1.) -2g-10

2.) 2g-10

3.) -2g+10

4.) 2g+10

5.) -12a-6

6.) 12a-6

7.) -12a+6

8.) 12a +6

Step-by-step explanation:

7 0

3 years ago

What is 4x - 3 = -2x + 9

Ugo [173]

Answer:

the answer is x=2

Step-by-step explanation:

4x+2x=9+3

6x=12

x=2

7 0

3 years ago