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eduard
3 years ago
14

the first term of a geometric progression is 12 and the second term is -6. Find the (i) the tenth term of the progression (ii) t

he sum to infinity
Mathematics
1 answer:
lesantik [10]3 years ago
6 0

Step-by-step explanation:

a1=ar⁰=12 A2=ar¹=-6

a=12 ar=-6

12r=-6

r=-6/12

r=-1/2

a10=ar⁹

=12*(-1/2)⁹

=12*(-512)

=-3/128

S∞ = a1 / (1-r )

=12/(1-1/2)

=12*1/2

=6

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Sammie read at the rate of 25 pages per hour. Alex read at the rate of 1/2 of a pages per minute. Who was reading faster? By how
kompoz [17]

Answer:

Alex and 5 pages

Step-by-step explanation:

Sammie 25 pages per hour

Alex 1/2 pages per minute

You do 1/2x60=30 because you can find out how many pages he can read per hour.  Which is 30 pages per hour.  So Alex can read 30 pages per hour and Sammie can only read 25 pages per hour.  To find how many pages he reads faster per hour, you have to take 30 and subtract it by 25 to get 5 extra pages.  So Alex reads 5 pages faster per hour.  In the end, Alex reads faster than Sammie by 5 more pages per hour.

Hope this helps!  Please give brainliest.

3 0
3 years ago
Read 2 more answers
Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of
lord [1]

Answer:

The probability density function for the average length of life of the two components is f(x) = 0.5e^{-0.5x}

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following probability density:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

Each missile has a length of life governed by the exponential distribution with mean 1 (with measurements in hundreds of hours). Find the probability density function for the average length of life of the two components.

2, each with mean 1 means that m = 2*1 = 2, \mu = \frac{1}{2} = 0.5

So the probability density function is:

f(x) = 0.5e^{-0.5x}

8 0
3 years ago
Solve the system of equations -4x+2y=-6 and -x+8y=21 by combining the equations.
Alik [6]

Answer:

x=3 and y=3

Step-by-step explanation:

−x+8y=21for x:

−x+8y=21

−x+8y+−8y=21+−8y(Add -8y to both sides)

−x=−8y+21

−x

−1

=

−8y+21

−1

(Divide both sides by -1)

x=8y−21

Step: Substitute8y−21forxin−4x+2y=−6:

−4x+2y=−6

−4(8y−21)+2y=−6

−30y+84=−6(Simplify both sides of the equation)

−30y+84+−84=−6+−84(Add -84 to both sides)

−30y=−90

−30y

−30

=

−90

−30

(Divide both sides by -30)

y=3

Step: Substitute3foryinx=8y−21:

x=8y−21

x=(8)(3)−21

x=3(Simplify both sides of the equation)

3 0
3 years ago
Read 2 more answers
Storage units are numbered 1 through 50. What is the probability that the operator will choose a unit that is not a multiple of
adell [148]

Answer:

22/25

Step-by-step explanation:

Multiples of 8 betwen 1 - 50 =

8

16

24

32

40

48

there are 6 multiples of 8

Numbers that are not multiples of 8 = 50 - 6 = 44

Probability  the operator will choose a unit that is not a multiple of 8 = 44/50

Expressing in simpler terms = 22/25

5 0
3 years ago
Combine the like terms to make a simplified expression: -2w - 5w
JulsSmile [24]

Answer:

-7w

Step-by-step explanation:

-2w - 5w are like terms because they both have "w"

-2 - 5 = -7

7 0
3 years ago
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