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Alex787 [66]
3 years ago
14

Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.

Mathematics
1 answer:
ollegr [7]3 years ago
8 0

Answer:

a(1)= -3

a(n)=a(n-1) (-3)

Step-by-step explanation:

hope this helps

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Two metal disks, one with radius r = 2. 50 cm and the other with radius r = 5. 00 cm are welded together and
vova2212 [387]

The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.

<h3>What is moment of inertia?</h3>

Moment of inertia is the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.

Using the formulas to calculate the moment of inertia of a solid cylinder:

I = ½MR²

Where;

I = moment (kgm²)

M = mass of object (Kg)

R = radius of object (m)

Total moment of inertia of the two disks is expressed as: I = I(1) + I(2)

That is;

I = ½M1R1 + ½M2R2

According to the provided information;

R1 = 2.50cm = 0.025m

M1 = 0.800kg

R2 = 5.00cm = 0.05m

M2 = 1.70kg

I = (½ × 0.800 × 0.025²) + (½ × 0.05² × 1.70)

I = (½ × 0.0005) + (½ × 0.00425)

I = (0.00025) + (0.002125)

I = 0.002375

I = 2.375 × 10-³ Kgm²

Hence The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.

To know more about moment of inertia follow

brainly.com/question/14460640

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4 0
1 year ago
Send answers I will check if correct
Vikentia [17]

Step-by-step explanation:

x = n of years of mary

x+8= n of years of her bro

So her brother is (x+8)/x times as old as Mary

7 0
3 years ago
What is the initial velocity of the boiling water? H=-16t^2+170t
erastova [34]
Idkfjdjiwkwhdjajajasjjaikajshsiskjdhdjdjsjjsjsjsjsjss
5 0
3 years ago
Find the mean and median of these data: 2, 5, 13, 15, 19, 21.
Maru [420]

The Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.

<h3>What is Arithmetic mean?</h3>

Arithmetic mean is simply the average of a given set numbers. It is determined by dividing the sum of a given set number by their number of appearance.

Mean = Sum total of the number ÷ n

Where n is number of numbers

Median is the middle number in the data set.

Given the sets;

  • 2, 5, 13, 15, 19, 21
  • n = 6

Mean = Sum total of the number ÷ n

Mean = (2 + 5 + 13 + 15 + 19 + 21) ÷ 6

Mean = 75 ÷ 6

Mean = 12.5

Median is the middle number in the data set.

Median = ( 13 + 15 ) ÷ 2

Median = 14

Therefore, the Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.

Learn more about arithmetic mean here: brainly.com/question/13000783

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3 0
1 year ago
Solve the system of equations using multiplication. 3x – 3y = –3 5x – y = –13 What is the solution of the system?
love history [14]

ANSWER

The solution is

x=-3,y=-2

EXPLANATION

First equation

3x – 3y = –3

Second Equation:

5x – y = –13

Multiply the second equation by 3 to get:

Third equation:

15x-3y=-39

Subtract the first equation from the third equation:

15x - 3x =  - 39 -  - 3

12x =  - 36

Divide both sides by 12,

x =  \frac{ - 36}{12}  =  - 3

Put x=-3 into the first equation:

3( - 3) - 3y =  - 3

- 9  - 3y =  - 3

Group like terms,

- 3y =  - 3 + 9

- 3y = 6

y =  - 2

The solution is

x=-3,y=-2

6 0
3 years ago
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