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podryga [215]
3 years ago
14

Is the sequence geometric ? -48,96,-192,384...

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

Answer:

yes

Step-by-step explanation:

If the sequence is geometric then the common ratio r between consecutive terms will be equal.

\frac{96}{-48} = - 2

\frac{-192}{96} = - 2

\frac{384}{-192} = - 2

The common ratio between terms = - 2

Hence the sequence is geometric

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6 0
3 years ago
The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
Paraphin [41]

Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
2 years ago
In one day, by how much does the distance traveled by the tip of the minute hand exceed the distance traveled by the tip of the
lidiya [134]
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Distance traveled by hour hand = 2(2πr) = 4πr₁

In 60 s, the long hand, which denotes numbers of minutes, makes one revolution around the clock. Since there are 86,400 seconds in a day, that would be a total of 1,440 revolutions.

Distance traveled by minute hand = 1,440(2πr) = 2,880πr₂

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7 0
3 years ago
What are the solutions to the quadratic equation 4x2=64?
Paraphin [41]
X=4 or X=-4 because 4(4)^2 does =64
3 0
3 years ago
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4(-4x - 3) > 36 with the steps
Sergeu [11.5K]

Answer:

x < -3

Step-by-step explanation:

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

−4x−3> 36/4

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−4x−3>9

Add 3 to both sides.

−4x>9+3

Add 9 and 3 to get 12.

−4x>12

Divide both sides by −4. Since −4 is negative, the inequality direction is changed.

x< 12/-4

​ Divide 12 by −4 to get −3.

x < -3

5 0
2 years ago
Read 2 more answers
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