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DaniilM [7]
3 years ago
9

Find the fifth term in the geometric sequence, given the first term and the common ratio. a1=5 and r=-3

Mathematics
1 answer:
Lunna [17]3 years ago
7 0

Answer:

<h2>405</h2>

Step-by-step explanation:

The nth term of a geometric sequence is given by the formula

Tn=ar^n^-^1

Given data

first term  a1=5 and

common ratio r=-3

n= 5

T5= 5*3^5^-^1\\T5= 5*3^4\\T5=5*81\\T5=405

The 5th term is 405

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If E = [9, -6], what is the length of E.
Marrrta [24]

Answer:

16

Step-by-step explanation:

Interval E contains (9,8,7,6,5,4,3,2,1,0,-1,-2,-3,-4,-5,-6)

so the numbers of the interval equals 16

3 0
3 years ago
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andreas car gets 25miles per gallon of gas. her vacation cabin is 190 miles away. how many gallons of gas will she need to get t
aliina [53]
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3 years ago
Specifications for an aircraft bolt require that the ultimate tensile strength be at least 18 kN. It is known that 10% of the bo
Darina [25.2K]

Answer:

Mean strength is 18.94 and your standard deviation is 0.5.

So the proportion of bolts that meet the specifications is 97%.

Step-by-step explanation:

First of all determine the z- scores of these points.There are 10% of bolts with a strength less than 18.3 kN and this normally distributed you can use chart or calculator to calculate z-score. As i have 5% then z-score is -1.28.Then check the other 19.76kN then find that it has a z-score of 1.64.

To check the difference subtract 19.76 and 18.3 then you get 1.46.

Subtract z-scores 1.64 - (-1.28) = 2.92

Then standard deviation is 1.46/2.92 = 0.50

mean of the bolts is obtained by adding 1.28 *0.5 = 0.64 to 18.3 then

subtract 1.64 *0.5 = 0.82 to 19.76

Then mean is 18.94

Mean strength is 18.94 and your standard deviation is 0.5.

For strength specification. First, we find the z-score for this value:

(18-18.94)/0.5=-1.88

the probability of a bolt being made stronger than this z-score.It is approximately 0.97.

So the proportion of bolts that meet the specifications is 97%. .

3 0
3 years ago
What is the domain of the function represented by the graph?​
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Answer:

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Step-by-step explanation:

............

7 0
3 years ago
Work out the perimeter of a quarter circle that has the diameter of 7cm
Andre45 [30]

Answer:

Perimeter = 12.5 cm

Step-by-step explanation:

<h2>Perimeter of quarter cirlce:</h2>

    d = 7 cm

    \sf \boxed{\text{Circumference of quarter circle =$\dfrac{1}{4} \pi d$}}

                                                       \sf = \dfrac{1}{4}*\dfrac{22}{7}*7\\\\ =\dfrac{11}{2}\\\\ = 5.5 \ cm

   Perimeter = radius + radius + circumference of quarter circle

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                      = 7  + 5.5

                      = 12.5 cm

8 0
1 year ago
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